Taming the fixed-node error in diffusion Monte Carlo via range separation
Supplementary information

Table of Contents

1 Links to the codes

2 Gaussian-1 set calculations

2.1 Geometries

Geometries are given in Angstrom, and taken from the NIST "Computational Chemistry Comparison and Benchmark DataBase" http://cccbdb.nist.gov/

2.1.1 BeH

2
BeH  Mult: 2 symmetry: 5
Be    0.0    0.0    0.0
H    0.0    0.0    1.3426

2.1.2 Be

1
Be  Mult: 1 symmetry: 4
Be    0.0    0.0    0.0

2.1.3 C2H2

4
C2H2  Mult: 1 symmetry: 14
C    0.0    0.0    0.6013
C    0.0    0.0    -0.6013
H    0.0    0.0    1.6644
H    0.0    0.0    -1.6644

2.1.4 C2H4

6
C2H4  Mult: 1 symmetry: 16
C    0.0    0.0    0.6695
C    0.0    0.0    -0.6695
H    0.0    0.9289    1.2321
H    0.0    -0.9289    1.2321
H    0.0    0.9289    -1.2321
H    0.0    -0.9289    -1.2321

2.1.5 C2H6

8
C2H6  Mult: 1 symmetry: 18
C    0.0    0.0    0.768
C    0.0    0.0    -0.768
H    -1.0192    0.0    1.1573
H    0.5096    0.8826    1.1573
H    0.5096    -0.8826    1.1573
H    1.0192    0.0    -1.1573
H    -0.5096    -0.8826    -1.1573
H    -0.5096    0.8826    -1.1573

2.1.6 CH21A1

3
CH2_1A1  Mult: 1 symmetry: 8
C    0.0    0.0    0.1734
H    0.0    0.8623    -0.5202
H    0.0    -0.8623    -0.5202

2.1.7 CH23B1

3
CH2_3B1  Mult: 3 symmetry: 8
C    0.0    0.0    0.1027
H    0.0    1.0042    -0.3081
H    0.0    -1.0042    -0.3081

2.1.8 CH3Cl

5
CH3Cl  Mult: 1 symmetry: 26
C    0.0    0.0    0.0
Cl    0.0    0.0    1.781
H    1.0424    0.0    -0.3901
H    -0.5212    0.9027    -0.3901
H    -0.5212    -0.9027    -0.3901

2.1.9 CH3

4
CH3  Mult: 2 symmetry: 9
C    0.0    0.0    0.0
H    1.079    0.0    0.0
H    -0.5395    -0.9344    0.0
H    -0.5395    0.9344    0.0

2.1.10 CH4

5
CH4  Mult: 1 symmetry: 10
C    0.0    0.0    0.0
H    0.6276    0.6276    0.6276
H    0.6276    -0.6276    -0.6276
H    -0.6276    0.6276    -0.6276
H    -0.6276    -0.6276    0.6276

2.1.11 CH

2
CH  Mult: 2 symmetry: 7
C    0.0    0.0    0.0
H    0.0    0.0    1.1199

2.1.12 Cl2

2
Cl2  Mult: 1 symmetry: 34
Cl    0.0    0.0    0.0
Cl    0.0    0.0    1.9879

2.1.13 ClF

2
ClF  Mult: 1 symmetry: 26
Cl    0.0    0.0    1.6283
F    0.0    0.0    0.0

2.1.14 ClO

2
ClO  Mult: 2 symmetry: 25
Cl    0.0    0.0    1.5696
O    0.0    0.0    0.0

2.1.15 Cl

1
Cl  Mult: 2 symmetry: 17
Cl    0.0    0.0    0.0

2.1.16 CN

2
CN  Mult: 2 symmetry: 13
C    0.0    0.0    0.0
N    0.0    0.0    1.1718

2.1.17 CO2

3
CO2  Mult: 1 symmetry: 22
C    0.0    0.0    0.0
O    0.0    0.0    1.1621
O    0.0    0.0    -1.1621

2.1.18 CO

2
CO  Mult: 1 symmetry: 14
C    0.0    0.0    0.0
O    0.0    0.0    1.1282

2.1.19 CS

2
CS  Mult: 1 symmetry: 22
C    0.0    0.0    0.0
S    0.0    0.0    1.5349

2.1.20 C

1
C  Mult: 3 symmetry: 6
C    0.0    0.0    0.0

2.1.21 F2

2
F2  Mult: 1 symmetry: 18
F    0.0    0.0    0.0
F    0.0    0.0    1.4119

2.1.22 F

1
F  Mult: 2 symmetry: 9
F    0.0    0.0    0.0

2.1.23 H2CO

4
H2CO  Mult: 1 symmetry: 16
C    0.0    0.0    0.0
H    0.0    0.9429    -0.5876
H    0.0    -0.9429    -0.5876
O    0.0    0.0    1.205

2.1.24 H2O2

4
H2O2  Mult: 1 symmetry: 18
H    0.819    0.817    0.422
H    -0.819    -0.817    0.422
O    0.0    0.7375    -0.0528
O    0.0    -0.7375    -0.0528

2.1.25 H2O

3
H2O  Mult: 1 symmetry: 10
H    0.0    0.7572    -0.4692
H    0.0    -0.7572    -0.4692
O    0.0    0.0    0.1173

2.1.26 H2S

3
H2S  Mult: 1 symmetry: 18
H    0.0    0.9569    0.9208
H    0.0    -0.9569    0.9208
S    0.0    0.0    0.0

2.1.27 H3COH

6
H3COH  Mult: 1 symmetry: 18
C    -0.0503    0.6685    0.0
H    -1.0807    1.0417    0.0
H    0.465    1.0417    0.8924
H    0.465    1.0417    -0.8924
H    0.8544    -1.0677    0.0
O    -0.0503    -0.7585    0.0

2.1.28 H3CSH

6
H3CSH  Mult: 1 symmetry: 26
C    -0.85    -0.0344    -0.2
H    1.4219    0.5781    0.425
H    -0.9406    0.8688    -0.8219
H    -1.4219    -0.8688    -0.6469
H    -1.2031    0.1656    0.8219
S    0.9    -0.5125    -0.1219

2.1.29 HCl

2
HCl  Mult: 1 symmetry: 18
Cl    0.0    0.0    0.0
H    0.0    0.0    1.2746

2.1.30 HCN

3
HCN  Mult: 1 symmetry: 14
C    0.0    0.0    0.0
H    0.0    0.0    1.064
N    0.0    0.0    -1.156

2.1.31 HCO

3
HCO  Mult: 2 symmetry: 15
C    0.0    0.0    0.0
H    1.08    0.0    0.0
O    -0.5899    1.0427    0.0

2.1.32 HF

2
HF  Mult: 1 symmetry: 10
F    0.0    0.0    0.0
H    0.0    0.0    0.9168

2.1.33 HOCl

3
HOCl  Mult: 1 symmetry: 26
Cl    0.0362    -0.5927    0.0
H    -0.9048    1.3042    0.0
O    0.0362    1.0964    0.0

2.1.34 H

1
H  Mult: 2 symmetry: 1
H    0.0    0.0    0.0

2.1.35 Li2

2
Li2  Mult: 1 symmetry: 6
Li    0.0    0.0    0.0
Li    0.0    0.0    2.673

2.1.36 LiF

2
LiF  Mult: 1 symmetry: 12
F    0.0    0.0    0.0
Li    0.0    0.0    1.5639

2.1.37 LiH

2
LiH  Mult: 1 symmetry: 4
H    0.0    0.0    1.5949
Li    0.0    0.0    0.0

2.1.38 Li

1
Li  Mult: 2 symmetry: 3
Li    0.0    0.0    0.0

2.1.39 N2H4

6
N2H4  Mult: 1 symmetry: 18
H    -0.447    1.0031    0.7562
H    0.447    -1.0031    0.7562
H    0.9663    1.0031    0.0301
H    -0.9663    -1.0031    0.0301
N    0.0    0.723    -0.1123
N    0.0    -0.723    -0.1123

2.1.40 N2

2
N2  Mult: 1 symmetry: 14
N    0.0    0.0    0.5488
N    0.0    0.0    -0.5488

2.1.41 Na2

2
Na2  Mult: 1 symmetry: 22
Na    0.0    0.0    0.0
Na    0.0    0.0    3.0789

2.1.42 NaCl

2
NaCl  Mult: 1 symmetry: 28
Cl    0.0    0.0    2.3608
Na    0.0    0.0    0.0

2.1.43 Na

1
Na  Mult: 2 symmetry: 11
Na    0.0    0.0    0.0

2.1.44 NH2

3
NH2  Mult: 2 symmetry: 9
H    0.0    0.8036    0.6347
H    0.0    -0.8036    0.6347
N    0.0    0.0    0.0

2.1.45 NH3

4
NH3  Mult: 1 symmetry: 10
H    0.0    -0.9377    -0.3816
H    0.8121    0.4689    -0.3816
H    -0.8121    0.4689    -0.3816
N    0.0    0.0    0.0

2.1.46 NH

2
NH  Mult: 3 symmetry: 8
H    0.0    0.0    1.0362
N    0.0    0.0    0.0

2.1.47 NO

2
NO  Mult: 2 symmetry: 15
N    0.0    0.0    1.1508
O    0.0    0.0    0.0

2.1.48 N

1
N  Mult: 4 symmetry: 7
N    0.0    0.0    0.0

2.1.49 O2

2
O2  Mult: 3 symmetry: 16
O    0.0    0.0    0.0
O    0.0    0.0    1.2075

2.1.50 OH

2
OH  Mult: 2 symmetry: 9
H    0.0    0.0    0.9697
O    0.0    0.0    0.0

2.1.51 O

1
O  Mult: 3 symmetry: 8
O    0.0    0.0    0.0

2.1.52 P2

2
P2  Mult: 1 symmetry: 30
P    0.0    0.0    0.0
P    0.0    0.0    1.8934

2.1.53 PH2

3
PH2  Mult: 2 symmetry: 17
H    0.0    1.0229    0.9964
H    0.0    -1.0229    0.9964
P    0.0    0.0    0.0

2.1.54 PH3

4
PH3  Mult: 1 symmetry: 18
H    0.0    -1.1932    -0.7717
H    1.0333    0.5966    -0.7717
H    -1.0333    0.5966    -0.7717
P    0.0    0.0    0.0

2.1.55 P

1
P  Mult: 4
P    0.0    0.0    0.0

2.1.56 S2

2
S2  Mult: 3
S    0.0    0.0    0.0
S    0.0    0.0    1.8892

2.1.57 Si2H6

8
Si2H6  Mult: 1
H    0.0    1.3865    1.6483
H    -1.2008    -0.6933    1.6483
H    1.2008    -0.6933    1.6483
H    0.0    -1.3865    -1.6483
H    -1.2008    0.6933    -1.6483
H    1.2008    0.6933    -1.6483
Si    0.0    0.0    1.16
Si    0.0    0.0    -1.16

2.1.58 Si2

2
Si2  Mult: 3
Si    0.0    0.0    0.0
Si    0.0    0.0    2.246

2.1.59 SiH21A1

3
SiH2_1A1  Mult: 1
H    0.0    0.0    -1.5141
H    0.0    1.5132    0.0528
Si    0.0    0.0    0.0

2.1.60 SiH23B1

3
SiH2_3B1  Mult: 3
H    0.0    1.273174    -0.665412
H    0.0    -1.273174    -0.665412
Si    0.0    0.0    0.095059

2.1.61 SiH3

4
SiH3  Mult: 2
H    0.0    1.3928    -0.382
H    1.2062    -0.6964    -0.382
H    -1.2062    -0.6964    -0.382
Si    0.0    0.0    0.0819

2.1.62 SiH4

5
SiH4  Mult: 1
H    0.8544    0.8544    0.8544
H    -0.8544    -0.8544    0.8544
H    -0.8544    0.8544    -0.8544
H    0.8544    -0.8544    -0.8544
Si    0.0    0.0    0.0

2.1.63 SiO

2
SiO  Mult: 1
O    0.0    0.0    1.5097
Si    0.0    0.0    0.0

2.1.64 Si

1
Si  Mult: 3
Si    0.0    0.0    0.0

2.1.65 SO2

3
SO2  Mult: 1
O    0.0    1.2371    0.7215
O    0.0    -1.2371    0.7215
S    0.0    0.0    0.0

2.1.66 SO

2
SO  Mult: 3
O    0.0    0.0    1.4811
S    0.0    0.0    0.0

2.1.67 S

1
S  Mult: 3
S    0.0    0.0    0.0
for i in ~/G2/XYZ/*.xyz
do
    printf "*** $(basename $i)\n#+begin_example\n$(cat $i)\n#+end_example\n\n"
done

2.2 Basis sets

2.2.1 VDZ-BFD

  1. H
     HYDROGEN
     S 9
       1 0.013000      0.000706
       2 0.029900      -0.002119
       3 0.068770      0.057693
       4 0.158170      0.230695
       5 0.363792      0.277612
       6 0.836721      0.169833
       7 1.924458      0.097443
       8 4.426254      0.029966
       9 10.180385      -0.000452
     S 1
       1 0.170483      1.000000
     P 9
       1 0.003000      0.001242
       2 0.007800      -0.000913
       3 0.020281      -0.000054
       4 0.052730      -0.000238
       5 0.137097      -0.011530
       6 0.356451      -0.018235
       7 0.926774      -0.013929
       8 2.409612      -0.009395
       9 6.264991      -0.000347
    
  2. Li
     LITHIUM
     S 9
       1 0.010125      0.007841
       2 0.023437      0.258118
       3 0.054251      0.423307
       4 0.125581      0.167825
       5 0.290697      -0.068332
       6 0.672909      -0.119269
       7 1.557659      0.007736
       8 3.605689      0.003630
       9 8.346494      -0.000646
     S 1
       1 0.103721      1.000000
     P 9
       1 0.018300      -0.005906
       2 0.031699      -0.031422
       3 0.054908      -0.043628
       4 0.095111      -0.016781
       5 0.164751      -0.078594
       6 0.285379      0.015562
       7 0.494330      -0.030830
       8 0.856273      0.006185
       9 1.483225      -0.008621
     P 1
       1 0.070391      1.000000
     D 1
       1 0.110720      1.000000
    
  3. Be
     BERYLLIUM
     S 9
       1 0.030068      0.025105
       2 0.054002      0.178890
       3 0.096986      0.263939
       4 0.174186      0.435946
       5 0.312836      -0.008188
       6 0.561850      0.049509
       7 1.009077     -0.114576
       8 1.812290      -0.067207
       9 3.254852      0.017250
     S 1
       1 0.239392      1.000000
     P 9
       1 0.015064      0.735052
       2 0.028584      -0.476214
       3 0.054236      0.564806
       4 0.102911      -0.108575
       5 0.195269      0.233862
       6 0.370513      -0.009003
       7 0.703030      0.067510
       8 1.333967      -0.002868
       9 2.531139      0.017869
     P 1
       1 0.222969      1.000000
     D 1
       1 0.217340      1.000000
    
  4. C
     CARBON
     S 9
       1 0.051344      0.013991
       2 0.102619      0.169852
       3 0.205100      0.397529
       4 0.409924      0.380369
       5 0.819297      0.180113
       6 1.637494      -0.033512
       7 3.272791      -0.121499
       8 6.541187      0.015176
       9 13.073594      -0.000705
     S 1
       1 0.127852      1.000000
     P 9
       1 0.029281      0.001787
       2 0.058547      0.050426
       3 0.117063      0.191634
       4 0.234064      0.302667
       5 0.468003      0.289868
       6 0.935757      0.210979
       7 1.871016      0.112024
       8 3.741035      0.054425
       9 7.480076      0.021931
     P 1
       1 0.149161      1.000000
     D 1
       1 0.561160      1.000000
    
  5. N
     NITROGEN
     S 9
       1 0.098869      0.067266
       2 0.211443      0.334290
       3 0.452197      0.454257
       4 0.967080      0.267861
       5 2.068221      0.000248
       6 4.423150      -0.132606
       7 9.459462      0.014437
       8 20.230246      0.000359
       9 43.264919      -0.000094
     S 1
       1 0.175123      1.000000
     P 9
       1 0.073234      0.035758
       2 0.145867      0.153945
       3 0.290535      0.277656
       4 0.578683      0.297676
       5 1.152612      0.234403
       6 2.295756      0.140321
       7 4.572652      0.067219
       8 9.107739      0.031594
       9 18.140657      0.003301
     P 1
       1 0.223042      1.000000
     D 1
       1 0.832058      1.000000
    
  6. O
     OXYGEN
     S 9
       1 0.125346      0.055741
       2 0.268022      0.304848
       3 0.573098      0.453752
       4 1.225429      0.295926
       5 2.620277      0.019567
       6 5.602818      -0.128627
       7 11.980245      0.012024
       8 25.616801      0.000407
       9 54.775216      -0.000076
     S 1
       1 0.258551      1.000000
     P 9
       1 0.083598      0.044958
       2 0.167017      0.150175
       3 0.333673      0.255999
       4 0.666627      0.281879
       5 1.331816      0.242835
       6 2.660761      0.161134
       7 5.315785      0.082308
       8 10.620108      0.039899
       9 21.217318      0.004679
     P 1
       1 0.267865      1.000000
     D 1
       1 1.232753      1.000000
    
  7. F
     FLUORINE
     S 9
       1 0.172723      0.070240
       2 0.364875      0.311088
       3 0.770795      0.444675
       4 1.628295      0.287011
       5 3.439757      0.018759
       6 7.266451      -0.128608
       7 15.350300      0.009104
       8 32.427348      0.000810
       9 68.502433      -0.000133
     S 1
       1 0.344569      1.000000
     P 9
       1 0.101001      0.035321
       2 0.204414      0.136924
       3 0.413707      0.249353
       4 0.837289      0.286620
       5 1.694565      0.254541
       6 3.429580      0.169572
       7 6.941026      0.088542
       8 14.047737      0.039843
       9 28.430799      0.003378
     P 1
       1 0.364831      1.000000
     D 1
       1 1.722479      1.000000
    
  8. Na
     SODIUM
     S 9
       1 0.013061      0.200118
       2 0.030041      0.467652
       3 0.069092      0.227738
       4 0.158908      -0.061581
       5 0.365481      -0.137533
       6 0.840589      0.003323
       7 1.933315      0.003741
       8 4.446533      -0.001117
       9 10.226816      0.000244
     S 1
       1 0.865135      1.000000
     P 9
       1 0.002593      -0.002840
       2 0.006741      0.005340
       3 0.017525      -0.025936
       4 0.045563      -0.053466
       5 0.118461      -0.053691
       6 0.307987      0.014439
       7 0.800738      0.006199
       8 2.081847      -0.001026
       9 5.412617      0.000168
     P 1
       1 0.106025      1.000000
     D 1
       1 0.050790      1.000000
    
  9. Si
     SILICON
     S 9
       1 0.059887      0.167492
       2 0.130108      0.532550
       3 0.282668      0.464290
       4 0.614115      -0.002322
       5 1.334205      -0.268234
       6 2.898645      0.031921
       7 6.297493      -0.000106
       8 13.681707      -0.000145
       9 29.724387      0.000067
     S 1
       1 0.059803      1.000000
     P 9
       1 0.036525      0.078761
       2 0.076137      0.308331
       3 0.158712      0.417773
       4 0.330843      0.281676
       5 0.689658      0.069876
       6 1.437625      -0.056306
       7 2.996797      0.000744
       8 6.246966      -0.000259
       9 13.022097      -0.000022
     P 1
       1 0.081570      1.000000
     D 1
       1 0.283626      1.000000
    
  10. P
     PHOSPHORUS
     S 9
       1 0.074718      0.140225
       2 0.160834      0.506746
       3 0.346202      0.499893
       4 0.745215      0.037301
       5 1.604109      -0.284591
       6 3.452917      0.024766
       7 7.432561      0.001798
       8 15.998924      -0.000314
       9 34.438408      0.000088
     S 1
       1 0.077260      1.000000
     P 9
       1 0.050242      0.072095
       2 0.102391      0.278735
       3 0.208669      0.411034
       4 0.425256      0.304724
       5 0.866651      0.091727
       6 1.766191      -0.057060
       7 3.599410      -0.005103
       8 7.335418      0.000328
       9 14.949217      -0.000046
     P 1
       1 0.113433      1.000000
     D 1
       1 0.390944      1.000000
    
  11. S
     SULFUR
     S 9
       1 0.095120      0.140074
       2 0.202385      0.490942
       3 0.430611      0.515297
       4 0.916203      0.050320
       5 1.949388      -0.298908
       6 4.147674      0.019827
       7 8.824926      0.007266
       8 18.776623      -0.001602
       9 39.950656      0.000271
     S 1
       1 0.098454      1.000000
     P 9
       1 0.057087      0.081938
       2 0.115901      0.251826
       3 0.235305      0.376344
       4 0.477723      0.320902
       5 0.969889      0.143779
       6 1.969099      -0.045543
       7 3.997726      -0.017191
       8 8.116307      0.002580
       9 16.477979      -0.000222
     P 1
       1 0.128926      1.000000
     D 1
       1 0.514135      1.000000
    
  12. Cl
     CHLORINE
     S 9
       1 0.119944      0.148917
       2 0.257348      0.503616
       3 0.552157      0.523995
       4 1.184691      0.013612
       5 2.541836      -0.328846
       6 5.453681      0.056309
       7 11.701243      -0.001301
       8 25.105812      -0.000294
       9 53.866226      0.000076
     S 1
       1 0.120667      1.000000
     P 9
       1 0.074374      0.084925
       2 0.155084      0.270658
       3 0.323378      0.396022
       4 0.674303      0.324325
       5 1.406043      0.100661
       6 2.931855      -0.069802
       7 6.113450      -0.000951
       8 12.747651      0.001501
       9 26.581165      -0.000249
     P 1
       1 0.168333      1.000000
     D 1
       1 0.651071      1.000000
    

2.2.2 VTZ-BFD

  1. H
    HYDROGEN
    S 9
      1 0.013000      0.000706
      2 0.029900      -0.002119
      3 0.068770      0.057693
      4 0.158170      0.230695
      5 0.363792      0.277612
      6 0.836721      0.169833
      7 1.924458      0.097443
      8 4.426254      0.029966
      9 10.180385      -0.000452
    S 1
      1 0.170654      1.000000
    P 9
      1 0.003000      0.001242
      2 0.007800      -0.000913
      3 0.020281      -0.000054
      4 0.052730      -0.000238
      5 0.137097      -0.011530
      6 0.356451      -0.018235
      7 0.926774      -0.013929
      8 2.409612      -0.009395
      9 6.264991      -0.000347
    P 1
      1 0.495357      1.000000
    D 1
      1 0.955745      1.000000
    
    
  2. Li
    LITHIUM
    S 9
      1 0.010125      0.007841
      2 0.023437      0.258118
      3 0.054251      0.423307
      4 0.125581      0.167825
      5 0.290697      -0.068332
      6 0.672909      -0.119269
      7 1.557659      0.007736
      8 3.605689      0.003630
      9 8.346494      -0.000646
    S 1
      1 0.026170      1.000000
    S 1
      1 0.132259      1.000000
    P 9
      1 0.018300      -0.005906
      2 0.031699      -0.031422
      3 0.054908      -0.043628
      4 0.095111      -0.016781
      5 0.164751      -0.078594
      6 0.285379      0.015562
      7 0.494330      -0.030830
      8 0.856273      0.006185
      9 1.483225      -0.008621
    P 1
      1 0.052959      1.000000
    P 1
      1 0.110075      1.000000
    D 1
      1 0.067795      1.000000
    D 1
      1 0.177140      1.000000
    F 1
      1 0.180758      1.000000
    
    
  3. Be
    BERYLLIUM
    S 9
      1 0.030068      0.025105
      2 0.054002      0.178890
      3 0.096986      0.263939
      4 0.174186      0.435946
      5 0.312836      -0.008188
      6 0.561850      0.049509
      7 1.009077     -0.114576
      8 1.812290      -0.067207
      9 3.254852      0.017250
    S 1
      1 0.060913      1.000000
    S 1
      1 0.357735      1.000000
    P 9
      1 0.015064      0.735052
      2 0.028584      -0.476214
      3 0.054236      0.564806
      4 0.102911      -0.108575
      5 0.195269      0.233862
      6 0.370513      -0.009003
      7 0.703030      0.067510
      8 1.333967      -0.002868
      9 2.531139      0.017869
    P 1
      1 0.728274      1.000000
    P 1
      1 0.165173      1.000000
    D 1
      1 0.113241      1.000000
    D 1
      1 0.305198      1.000000
    F 1
      1 0.272841      1.000000
    
    
  4. C
    CARBON
    S 9
      1 0.051344      0.013991
      2 0.102619      0.169852
      3 0.205100      0.397529
      4 0.409924      0.380369
      5 0.819297      0.180113
      6 1.637494      -0.033512
      7 3.272791      -0.121499
      8 6.541187      0.015176
      9 13.073594      -0.000705
    S 1
      1 0.921552      1.000000
    S 1
      1 0.132800      1.000000
    P 9
      1 0.029281      0.001787
      2 0.058547      0.050426
      3 0.117063      0.191634
      4 0.234064      0.302667
      5 0.468003      0.289868
      6 0.935757      0.210979
      7 1.871016      0.112024
      8 3.741035      0.054425
      9 7.480076      0.021931
    P 1
      1 0.126772      1.000000
    P 1
      1 0.376742      1.000000
    D 1
      1 0.329486      1.000000
    D 1
      1 1.141611      1.000000
    F 1
      1 0.773485      1.000000
    
    
  5. N
    NITROGEN
    S 9
      1 0.098869      0.067266
      2 0.211443      0.334290
      3 0.452197      0.454257
      4 0.967080      0.267861
      5 2.068221      0.000248
      6 4.423150      -0.132606
      7 9.459462      0.014437
      8 20.230246      0.000359
      9 43.264919      -0.000094
    S 1
      1 1.202183      1.000000
    S 1
      1 0.163243      1.000000
    P 9
      1 0.073234      0.035758
      2 0.145867      0.153945
      3 0.290535      0.277656
      4 0.578683      0.297676
      5 1.152612      0.234403
      6 2.295756      0.140321
      7 4.572652      0.067219
      8 9.107739      0.031594
      9 18.140657      0.003301
    P 1
      1 0.170104      1.000000
    P 1
      1 0.517547      1.000000
    D 1
      1 0.483567      1.000000
    D 1
      1 1.712416      1.000000
    F 1
      1 1.093097      1.000000
    
    
  6. O
    OXYGEN
    S 9
      1 0.125346      0.055741
      2 0.268022      0.304848
      3 0.573098      0.453752
      4 1.225429      0.295926
      5 2.620277      0.019567
      6 5.602818      -0.128627
      7 11.980245      0.012024
      8 25.616801      0.000407
      9 54.775216      -0.000076
    S 1
      1 1.686633      1.000000
    S 1
      1 0.237997      1.000000
    P 9
      1 0.083598      0.044958
      2 0.167017      0.150175
      3 0.333673      0.255999
      4 0.666627      0.281879
      5 1.331816      0.242835
      6 2.660761      0.161134
      7 5.315785      0.082308
      8 10.620108      0.039899
      9 21.217318      0.004679
    P 1
      1 0.184696      1.000000
    P 1
      1 0.600621      1.000000
    D 1
      1 0.669340      1.000000
    D 1
      1 2.404278      1.000000
    F 1
      1 1.423104      1.000000
    
    
  7. F
    FLUORINE
    S 9
      1 0.172723      0.070240
      2 0.364875      0.311088
      3 0.770795      0.444675
      4 1.628295      0.287011
      5 3.439757      0.018759
      6 7.266451      -0.128608
      7 15.350300      0.009104
      8 32.427348      0.000810
      9 68.502433      -0.000133
    S 1
      1 2.289795      1.000000
    S 1
      1 0.327712      1.000000
    P 9
      1 0.101001      0.035321
      2 0.204414      0.136924
      3 0.413707      0.249353
      4 0.837289      0.286620
      5 1.694565      0.254541
      6 3.429580      0.169572
      7 6.941026      0.088542
      8 14.047737      0.039843
      9 28.430799      0.003378
    P 1
      1 0.243660      1.000000
    P 1
      1 0.804181      1.000000
    D 1
      1 0.900763      1.000000
    D 1
      1 3.297425      1.000000
    F 1
      1 1.859274      1.000000
    
    
  8. Na
    SODIUM
    S 9
      1 0.013061      0.200118
      2 0.030041      0.467652
      3 0.069092      0.227738
      4 0.158908      -0.061581
      5 0.365481      -0.137533
      6 0.840589      0.003323
      7 1.933315      0.003741
      8 4.446533      -0.001117
      9 10.226816      0.000244
    S 1
      1 0.067854      1.000000
    S 1
      1 0.550451      1.000000
    P 9
      1 0.002593      -0.002840
      2 0.006741      0.005340
      3 0.017525      -0.025936
      4 0.045563      -0.053466
      5 0.118461      -0.053691
      6 0.307987      0.014439
      7 0.800738      0.006199
      8 2.081847      -0.001026
      9 5.412617      0.000168
    P 1
      1 0.089406      1.000000
    P 1
      1 0.619273      1.000000
    D 1
      1 0.086920      1.000000
    D 1
      1 0.693014      1.000000
    F 1
      1 0.132402      1.000000
    
    
  9. Si
    SILICON
    S 9
      1 0.059887      0.167492
      2 0.130108      0.532550
      3 0.282668      0.464290
      4 0.614115      -0.002322
      5 1.334205      -0.268234
      6 2.898645      0.031921
      7 6.297493      -0.000106
      8 13.681707      -0.000145
      9 29.724387      0.000067
    S 1
      1 0.090113      1.000000
    S 1
      1 0.507467      1.000000
    P 9
      1 0.036525      0.078761
      2 0.076137      0.308331
      3 0.158712      0.417773
      4 0.330843      0.281676
      5 0.689658      0.069876
      6 1.437625      -0.056306
      7 2.996797      0.000744
      8 6.246966      -0.000259
      9 13.022097      -0.000022
    P 1
      1 0.056148      1.000000
    P 1
      1 0.146758      1.000000
    D 1
      1 0.170395      1.000000
    D 1
      1 0.539756      1.000000
    F 1
      1 0.352999      1.000000
    
    
  10. P
    PHOSPHORUS
    S 9
      1 0.074718      0.140225
      2 0.160834      0.506746
      3 0.346202      0.499893
      4 0.745215      0.037301
      5 1.604109      -0.284591
      6 3.452917      0.024766
      7 7.432561      0.001798
      8 15.998924      -0.000314
      9 34.438408      0.000088
    S 1
      1 0.115288      1.000000
    S 1
      1 0.646066      1.000000
    P 9
      1 0.050242      0.072095
      2 0.102391      0.278735
      3 0.208669      0.411034
      4 0.425256      0.304724
      5 0.866651      0.091727
      6 1.766191      -0.057060
      7 3.599410      -0.005103
      8 7.335418      0.000328
      9 14.949217      -0.000046
    P 1
      1 0.076568      1.000000
    P 1
      1 0.200301      1.000000
    D 1
      1 0.234543      1.000000
    D 1
      1 0.753299      1.000000
    F 1
      1 0.468762      1.000000
    
    
  11. S
    SULFUR
    S 9
      1 0.095120      0.140074
      2 0.202385      0.490942
      3 0.430611      0.515297
      4 0.916203      0.050320
      5 1.949388      -0.298908
      6 4.147674      0.019827
      7 8.824926      0.007266
      8 18.776623      -0.001602
      9 39.950656      0.000271
    S 1
      1 0.146642      1.000000
    S 1
      1 0.792025      1.000000
    P 9
      1 0.057087      0.081938
      2 0.115901      0.251826
      3 0.235305      0.376344
      4 0.477723      0.320902
      5 0.969889      0.143779
      6 1.969099      -0.045543
      7 3.997726      -0.017191
      8 8.116307      0.002580
      9 16.477979      -0.000222
    P 1
      1 0.088694      1.000000
    P 1
      1 0.247967      1.000000
    D 1
      1 0.292889      1.000000
    D 1
      1 0.950659      1.000000
    F 1
      1 0.573218      1.000000
    
    
  12. Cl
    CHLORINE
    S 9
      1 0.119944      0.148917
      2 0.257348      0.503616
      3 0.552157      0.523995
      4 1.184691      0.013612
      5 2.541836      -0.328846
      6 5.453681      0.056309
      7 11.701243      -0.001301
      8 25.105812      -0.000294
      9 53.866226      0.000076
    S 1
      1 0.185613      1.000000
    S 1
      1 0.991560      1.000000
    P 9
      1 0.074374      0.084925
      2 0.155084      0.270658
      3 0.323378      0.396022
      4 0.674303      0.324325
      5 1.406043      0.100661
      6 2.931855      -0.069802
      7 6.113450      -0.000951
      8 12.747651      0.001501
      9 26.581165      -0.000249
    P 1
      1 0.112268      1.000000
    P 1
      1 0.309583      1.000000
    D 1
      1 0.352357      1.000000
    D 1
      1 1.128796      1.000000
    F 1
      1 0.731999      1.000000
    

2.2.3 VQZ-BFD

  1. H
    HYDROGEN
    S 9
      1 0.013000      0.000706
      2 0.029900      -0.002119
      3 0.068770      0.057693
      4 0.158170      0.230695
      5 0.363792      0.277612
      6 0.836721      0.169833
      7 1.924458      0.097443
      8 4.426254      0.029966
      9 10.180385      -0.000452
    S 1
      1 0.120599      1.000000
    S 1
      1 0.404783      1.000000
    S 1
      1 0.715129      1.000000
    P 9
      1 0.003000      0.001242
      2 0.007800      -0.000913
      3 0.020281      -0.000054
      4 0.052730      -0.000238
      5 0.137097      -0.011530
      6 0.356451      -0.018235
      7 0.926774      -0.013929
      8 2.409612      -0.009395
      9 6.264991      -0.000347
    P 1
      1 0.774536      1.000000
    P 1
      1 0.263038      1.000000
    D 1
      1 2.315883      1.000000
    D 1
      1 0.636656      1.000000
    F 1
      1 1.130819      1.000000
    
    
  2. Li
    LITHIUM
    S 9
      1 0.010125      0.007841
      2 0.023437      0.258118
      3 0.054251      0.423307
      4 0.125581      0.167825
      5 0.290697      -0.068332
      6 0.672909      -0.119269
      7 1.557659      0.007736
      8 3.605689      0.003630
      9 8.346494      -0.000646
    S 1
      1 0.024834      1.000000
    S 1
      1 0.109770      1.000000
    S 1
      1 0.519693      1.000000
    P 9
      1 0.018300      -0.005906
      2 0.031699      -0.031422
      3 0.054908      -0.043628
      4 0.095111      -0.016781
      5 0.164751      -0.078594
      6 0.285379      0.015562
      7 0.494330      -0.030830
      8 0.856273      0.006185
      9 1.483225      -0.008621
    P 1
      1 0.070662      1.000000
    P 1
      1 0.115823      1.000000
    P 1
      1 0.207505      1.000000
    D 1
      1 0.029817      1.000000
    D 1
      1 0.089353      1.000000
    D 1
      1 0.214990      1.000000
    F 1
      1 0.099930      1.000000
    F 1
      1 0.240323      1.000000
    G 1
      1 0.199570      1.000000
    
    
  3. Be
    BERYLLIUM
    S 9
      1 0.030068      0.025105
      2 0.054002      0.178890
      3 0.096986      0.263939
      4 0.174186      0.435946
      5 0.312836      -0.008188
      6 0.561850      0.049509
      7 1.009077     -0.114576
      8 1.812290      -0.067207
      9 3.254852      0.017250
    S 1
      1 0.012287      1.000000
    S 1
      1 0.175341      1.000000
    S 1
      1 1.244398      1.000000
    P 9
      1 0.015064      0.735052
      2 0.028584      -0.476214
      3 0.054236      0.564806
      4 0.102911      -0.108575
      5 0.195269      0.233862
      6 0.370513      -0.009003
      7 0.703030      0.067510
      8 1.333967      -0.002868
      9 2.531139      0.017869
    P 1
      1 0.317061      1.000000
    P 1
      1 1.585739      1.000000
    P 1
      1 0.108346      1.000000
    D 1
      1 0.125228      1.000000
    D 1
      1 0.801065      1.000000
    D 1
      1 0.301656      1.000000
    F 1
      1 0.153439      1.000000
    F 1
      1 0.377536      1.000000
    G 1
      1 0.338801      1.000000
    
    
  4. C
    CARBON
    S 9
      1 0.051344      0.013991
      2 0.102619      0.169852
      3 0.205100      0.397529
      4 0.409924      0.380369
      5 0.819297      0.180113
      6 1.637494      -0.033512
      7 3.272791      -0.121499
      8 6.541187      0.015176
      9 13.073594      -0.000705
    S 1
      1 0.109576      1.000000
    S 1
      1 0.846879      1.000000
    S 1
      1 0.269659      1.000000
    P 9
      1 0.029281      0.001787
      2 0.058547      0.050426
      3 0.117063      0.191634
      4 0.234064      0.302667
      5 0.468003      0.289868
      6 0.935757      0.210979
      7 1.871016      0.112024
      8 3.741035      0.054425
      9 7.480076      0.021931
    P 1
      1 0.105389      1.000000
    P 1
      1 0.313254      1.000000
    P 1
      1 0.804681      1.000000
    D 1
      1 0.240171      1.000000
    D 1
      1 0.684884      1.000000
    D 1
      1 2.013760      1.000000
    F 1
      1 0.457302      1.000000
    F 1
      1 1.324930      1.000000
    G 1
      1 1.034180      1.000000
    
    
  5. N
    NITROGEN
    S 9
      1 0.098869      0.067266
      2 0.211443      0.334290
      3 0.452197      0.454257
      4 0.967080      0.267861
      5 2.068221      0.000248
      6 4.423150      -0.132606
      7 9.459462      0.014437
      8 20.230246      0.000359
      9 43.264919      -0.000094
    S 1
      1 0.135764      1.000000
    S 1
      1 0.310826      1.000000
    S 1
      1 1.625001      1.000000
    P 9
      1 0.073234      0.035758
      2 0.145867      0.153945
      3 0.290535      0.277656
      4 0.578683      0.297676
      5 1.152612      0.234403
      6 2.295756      0.140321
      7 4.572652      0.067219
      8 9.107739      0.031594
      9 18.140657      0.003301
    P 1
      1 0.140736      1.000000
    P 1
      1 0.413103      1.000000
    P 1
      1 1.020750      1.000000
    D 1
      1 0.346233      1.000000
    D 1
      1 1.009895      1.000000
    D 1
      1 3.028459      1.000000
    F 1
      1 0.691129      1.000000
    F 1
      1 2.024747      1.000000
    G 1
      1 1.357512      1.000000
    
    
  6. O
    OXYGEN
    S 9
      1 0.125346      0.055741
      2 0.268022      0.304848
      3 0.573098      0.453752
      4 1.225429      0.295926
      5 2.620277      0.019567
      6 5.602818      -0.128627
      7 11.980245      0.012024
      8 25.616801      0.000407
      9 54.775216      -0.000076
    S 1
      1 0.224380      1.000000
    S 1
      1 0.843157      1.000000
    S 1
      1 1.351771      1.000000
    P 9
      1 0.083598      0.044958
      2 0.167017      0.150175
      3 0.333673      0.255999
      4 0.666627      0.281879
      5 1.331816      0.242835
      6 2.660761      0.161134
      7 5.315785      0.082308
      8 10.620108      0.039899
      9 21.217318      0.004679
    P 1
      1 0.148562      1.000000
    P 1
      1 0.452364      1.000000
    P 1
      1 1.106737      1.000000
    D 1
      1 0.455711      1.000000
    D 1
      1 1.344331      1.000000
    D 1
      1 4.008867      1.000000
    F 1
      1 0.876289      1.000000
    F 1
      1 2.763115      1.000000
    G 1
      1 1.759081      1.000000
    
    
  7. F
    FLUORINE
    S 9
      1 0.172723      0.070240
      2 0.364875      0.311088
      3 0.770795      0.444675
      4 1.628295      0.287011
      5 3.439757      0.018759
      6 7.266451      -0.128608
      7 15.350300      0.009104
      8 32.427348      0.000810
      9 68.502433      -0.000133
    S 1
      1 0.294345      1.000000
    S 1
      1 1.048013      1.000000
    S 1
      1 1.705653      1.000000
    P 9
      1 0.101001      0.035321
      2 0.204414      0.136924
      3 0.413707      0.249353
      4 0.837289      0.286620
      5 1.694565      0.254541
      6 3.429580      0.169572
      7 6.941026      0.088542
      8 14.047737      0.039843
      9 28.430799      0.003378
    P 1
      1 0.205806      1.000000
    P 1
      1 0.647240      1.000000
    P 1
      1 1.650688      1.000000
    D 1
      1 0.587354      1.000000
    D 1
      1 1.724392      1.000000
    D 1
      1 4.998085      1.000000
    F 1
      1 1.178147      1.000000
    F 1
      1 3.694285      1.000000
    G 1
      1 2.406583      1.000000
    
    
  8. Na
    SODIUM
    S 9
      1 0.013061      0.200118
      2 0.030041      0.467652
      3 0.069092      0.227738
      4 0.158908      -0.061581
      5 0.365481      -0.137533
      6 0.840589      0.003323
      7 1.933315      0.003741
      8 4.446533      -0.001117
      9 10.226816      0.000244
    S 1
      1 0.064915      1.000000
    S 1
      1 1.134458      1.000000
    S 1
      1 0.771046      1.000000
    P 9
      1 0.002593      -0.002840
      2 0.006741      0.005340
      3 0.017525      -0.025936
      4 0.045563      -0.053466
      5 0.118461      -0.053691
      6 0.307987      0.014439
      7 0.800738      0.006199
      8 2.081847      -0.001026
      9 5.412617      0.000168
    P 1
      1 0.059662      1.000000
    P 1
      1 0.096714      1.000000
    P 1
      1 0.552976      1.000000
    D 1
      1 0.046917      1.000000
    D 1
      1 0.813868      1.000000
    D 1
      1 0.127780      1.000000
    F 1
      1 0.129992      1.000000
    F 1
      1 0.626429      1.000000
    G 1
      1 0.588778      1.000000
    
    
  9. Si
    SILICON
    S 9
      1 0.059887      0.167492
      2 0.130108      0.532550
      3 0.282668      0.464290
      4 0.614115      -0.002322
      5 1.334205      -0.268234
      6 2.898645      0.031921
      7 6.297493      -0.000106
      8 13.681707      -0.000145
      9 29.724387      0.000067
    S 1
      1 0.079900      1.000000
    S 1
      1 0.206024      1.000000
    S 1
      1 0.435017      1.000000
    P 9
      1 0.036525      0.078761
      2 0.076137      0.308331
      3 0.158712      0.417773
      4 0.330843      0.281676
      5 0.689658      0.069876
      6 1.437625      -0.056306
      7 2.996797      0.000744
      8 6.246966      -0.000259
      9 13.022097      -0.000022
    P 1
      1 0.054575      1.000000
    P 1
      1 0.599112      1.000000
    P 1
      1 0.134681      1.000000
    D 1
      1 0.133118      1.000000
    D 1
      1 0.350967      1.000000
    D 1
      1 1.063961      1.000000
    F 1
      1 0.211319      1.000000
    F 1
      1 0.535932      1.000000
    G 1
      1 0.465365      1.000000
    
    
  10. P
    PHOSPHORUS
    S 9
      1 0.074718      0.140225
      2 0.160834      0.506746
      3 0.346202      0.499893
      4 0.745215      0.037301
      5 1.604109      -0.284591
      6 3.452917      0.024766
      7 7.432561      0.001798
      8 15.998924      -0.000314
      9 34.438408      0.000088
    S 1
      1 0.098851      1.000000
    S 1
      1 0.255593      1.000000
    S 1
      1 0.546057      1.000000
    P 9
      1 0.050242      0.072095
      2 0.102391      0.278735
      3 0.208669      0.411034
      4 0.425256      0.304724
      5 0.866651      0.091727
      6 1.766191      -0.057060
      7 3.599410      -0.005103
      8 7.335418      0.000328
      9 14.949217      -0.000046
    P 1
      1 0.074522      1.000000
    P 1
      1 0.764539      1.000000
    P 1
      1 0.182211      1.000000
    D 1
      1 0.186505      1.000000
    D 1
      1 0.502400      1.000000
    D 1
      1 1.576445      1.000000
    F 1
      1 0.280702      1.000000
    F 1
      1 0.719161      1.000000
    G 1
      1 0.599144      1.000000
    
    
  11. S
    SULFUR
    S 9
      1 0.095120      0.140074
      2 0.202385      0.490942
      3 0.430611      0.515297
      4 0.916203      0.050320
      5 1.949388      -0.298908
      6 4.147674      0.019827
      7 8.824926      0.007266
      8 18.776623      -0.001602
      9 39.950656      0.000271
    S 1
      1 0.123759      1.000000
    S 1
      1 0.315587      1.000000
    S 1
      1 0.651905      1.000000
    P 9
      1 0.057087      0.081938
      2 0.115901      0.251826
      3 0.235305      0.376344
      4 0.477723      0.320902
      5 0.969889      0.143779
      6 1.969099      -0.045543
      7 3.997726      -0.017191
      8 8.116307      0.002580
      9 16.477979      -0.000222
    P 1
      1 0.078717      1.000000
    P 1
      1 0.202707      1.000000
    P 1
      1 0.301333      1.000000
    D 1
      1 0.215701      1.000000
    D 1
      1 0.560638      1.000000
    D 1
      1 1.588204      1.000000
    F 1
      1 0.356554      1.000000
    F 1
      1 0.961826      1.000000
    G 1
      1 0.694803      1.000000
    
    
  12. Cl
    CHLORINE
    S 9
      1 0.119944      0.148917
      2 0.257348      0.503616
      3 0.552157      0.523995
      4 1.184691      0.013612
      5 2.541836      -0.328846
      6 5.453681      0.056309
      7 11.701243      -0.001301
      8 25.105812      -0.000294
      9 53.866226      0.000076
    S 1
      1 0.161594      1.000000
    S 1
      1 0.440111      1.000000
    S 1
      1 0.848928      1.000000
    P 9
      1 0.074374      0.084925
      2 0.155084      0.270658
      3 0.323378      0.396022
      4 0.674303      0.324325
      5 1.406043      0.100661
      6 2.931855      -0.069802
      7 6.113450      -0.000951
      8 12.747651      0.001501
      9 26.581165      -0.000249
    P 1
      1 0.111309      1.000000
    P 1
      1 1.286881      1.000000
    P 1
      1 0.289403      1.000000
    D 1
      1 0.253063      1.000000
    D 1
      1 0.642589      1.000000
    D 1
      1 1.654717      1.000000
    F 1
      1 0.448175      1.000000
    F 1
      1 1.189807      1.000000
    G 1
      1 0.848307      1.000000
    
    

2.3 Pseudopotentials

2.3.1 H

H GEN 0 0
3
1.00000000 1 4.47692410
4.47692410 3 2.97636451
-4.32112340 2 3.01841596

2.3.2 Li

Li GEN 2 1
3
1.00000000 1 5.41040609
5.41040609 3 2.70520138
-4.60151975 2 2.07005488
1
7.09172172 2 1.34319829

2.3.3 Be

Be GEN 2 1
3
2.00000000 1 4.58686001
9.17372003 3 2.29371778
-8.12599146 2 2.10401964
1
14.90499810 2 2.71723988

2.3.4 C

C GEN 2 1
3
4.00000000 1 8.35973821
33.43895285 3 4.48361888
-19.17537323 2 3.93831258
1
22.55164191 2 5.02991637

2.3.5 N

N GEN 2 1
3
5.00000000 1 9.23501007
46.17505034 3 7.66830008
-30.18893534 2 7.34486070
1
31.69720409 2 6.99536540

2.3.6 O

O GEN 2 1
3
6.00000000 1 9.29793903
55.78763416 3 8.86492204
-38.81978498 2 8.62925665
1
38.41914135 2 8.71924452

2.3.7 F

F GEN 2 1
3
7.00000000 1 11.39210685
79.74474797 3 10.74911370
-49.45159098 2 10.45120693
1
50.25646328 2 11.30345826

2.3.8 Na

Na GEN 10 2
3
1.00000000 1 5.35838717
5.35838717 3 3.67918975
-2.07764789 2 1.60507673
1
10.69640234 2 1.32389367
1
10.11238853 2 1.14052020

2.3.9 Si

Si GEN 10 2
3
4.00000000 1 1.80721061
7.22884246 3 9.99633089
-13.06725590 2 2.50043232
1
21.20531613 2 2.26686403
1
15.43693603 2 2.11659661

2.3.10 P

P GEN 10 2
3
5.00000000 1 2.02622810
10.13114051 3 9.95970113
-14.94375088 2 2.74841795
1
23.62479480 2 2.60470698
1
18.18547203 2 2.54957900

2.3.11 S

S GEN 10 2
3
6.00000000 1 2.42178462
14.53070769 3 6.74148698
-17.52965289 2 3.06094751
1
25.99260928 2 2.94272173
1
18.93356489 2 2.84566981

2.3.12 Cl

Cl GEN 10 2
3
7.00000000 1 2.41079533
16.87556731 3 5.29139158
-18.80917558 2 2.91105513
1
28.59107316 2 3.34528827
1
19.37583724 2 3.12408551

2.4 Python functions to compute MAE, MSE and RMSE

2.5 VDZ-BFD

2.5.1 CCSD(T)

  ecal aecal aenr aediff
  Hartree Hartree Hartree kcal/mol
Be -1.000525      
C -5.409242      
Cl -14.874294      
F -24.092526      
H -0.499045      
Li -0.195611      
N -9.760315      
Na -0.174227      
O -15.829829      
P -6.441709      
S -10.063896      
Si -3.747375      
BeH -1.553504 0.053934 0.079400 -15.979980
C2H2 -12.404798 0.588225 0.642400 -33.995396
C2H4 -13.652947 0.838283 0.899000 -38.100407
C2H6 -14.882446 1.069692 1.136900 -42.173979
CH -6.030335 0.122048 0.133900 -7.437258
CH21A1 -6.673470 0.266138 0.288900 -14.283148
CH23B1 -6.693049 0.285717 0.304100 -11.535254
CH3 -7.368024 0.461647 0.490800 -18.293738
CH3Cl -22.364720 0.584048 0.631000 -29.462716
CH4 -8.039741 0.634319 0.670300 -22.578590
CN -15.416198 0.246642 0.288800 -26.454701
CO -21.619072 0.380002 0.413700 -21.146121
CO2 -37.626356 0.557457 0.621400 -40.124644
CS -15.713978 0.240840 0.274000 -20.808005
Cl2 -29.811893 0.063305 0.094000 -19.261488
ClF -39.032802 0.065982 0.100100 -21.409434
ClO -30.768878 0.064755 0.104700 -25.065634
F2 -48.218609 0.033557 0.062200 -17.973728
H2CO -22.786343 0.549183 0.596700 -29.817652
H2O -17.163976 0.336057 0.371900 -22.492118
H2O2 -33.026612 0.368864 0.429400 -37.986866
H2S -11.327615 0.265628 0.292000 -16.548623
H3COH -23.990033 0.754781 0.818700 -40.109587
H3CSH -18.166535 0.697217 0.757000 -37.514699
HCN -16.115311 0.446710 0.496900 -31.494849
HCO -22.141199 0.403084 0.444700 -26.114492
HCl -15.530195 0.156855 0.171000 -8.875933
HF -24.793702 0.202131 0.226100 -15.040593
HOCl -31.422422 0.219254 0.264700 -28.517956
Li2 -0.429057 0.037834 0.038900 -0.668695
LiF -24.482639 0.194502 0.222000 -17.255080
LiH -0.779499 0.084842 0.092430 -4.761288
N2 -19.833528 0.312898 0.364600 -32.443585
N2H4 -22.127370 0.610560 0.699600 -55.873786
NH -10.374527 0.115167 0.133500 -11.504213
NH2 -11.016404 0.257998 0.290400 -20.332426
NH3 -11.685797 0.428347 0.475500 -29.589211
NO -25.791744 0.201600 0.244500 -26.919908
Na2 -0.381541 0.033088 0.026800 3.945542
NaCl -15.184335 0.135814 0.157400 -13.545436
O2 -31.814603 0.154945 0.192400 -23.503111
OH -16.480633 0.151759 0.170200 -11.571802
P2 -13.021089 0.137672 0.186000 -30.326571
PH2 -7.657150 0.217351 0.244000 -16.722476
PH3 -8.285253 0.346409 0.389000 -26.726509
S2 -20.254169 0.126376 0.164000 -23.609301
SO -26.046383 0.152658 0.200700 -30.147059
SO2 -42.025286 0.301732 0.414400 -70.700256
Si2 -7.590140 0.095390 0.121000 -16.070463
Si2H6 -11.269121 0.780099 0.849000 -43.236122
SiH21A1 -4.967724 0.222259 0.243000 -13.015374
SiH23B1 -4.938176 0.192711 0.210000 -10.849330
SiH3 -5.577455 0.332944 0.363000 -18.860405
SiH4 -6.222332 0.478776 0.515000 -22.730902
SiO -19.836053 0.258849 0.306700 -30.026860
    24.10 -23.96 13.03

2.5.2 DFT

  1. PBE
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.993247      
    C -5.417931      
    Cl -14.942111      
    F -24.188803      
    H -0.497466      
    Li -0.200657      
    N -9.785099      
    Na -0.179448      
    O -15.896735      
    P -6.463474      
    S -10.111396      
    Si -3.764725      
    BeH -1.561314 0.070600 0.079400 -5.522139
    C2H2 -12.471750 0.640955 0.642400 -0.906510
    C2H4 -13.725004 0.899276 0.899000 0.173384
    C2H6 -14.956934 1.136273 1.136900 -0.393184
    CH -6.049219 0.133822 0.133900 -0.049116
    CH21A1 -6.693746 0.280882 0.288900 -5.031326
    CH23B1 -6.725160 0.312297 0.304100 5.143465
    CH3 -7.403645 0.493315 0.490800 1.578365
    CH3Cl -22.481075 0.628633 0.631000 -1.485142
    CH4 -8.075706 0.667910 0.670300 -1.499859
    CN -15.499625 0.296596 0.288800 4.891804
    CO -21.720791 0.406126 0.413700 -4.752941
    CO2 -37.836708 0.625309 0.621400 2.452746
    CS -15.798388 0.269061 0.274000 -3.099051
    Cl2 -29.973609 0.089386 0.094000 -2.895432
    ClF -39.225356 0.094442 0.100100 -3.550567
    ClO -30.943200 0.104354 0.104700 -0.217225
    F2 -48.441579 0.063973 0.062200 1.112590
    H2CO -22.906450 0.596851 0.596700 0.094987
    H2O -17.246569 0.354901 0.371900 -10.667006
    H2O2 -33.201882 0.413480 0.429400 -9.989827
    H2S -11.389498 0.283169 0.292000 -5.541528
    H3COH -24.113873 0.809342 0.818700 -5.872374
    H3CSH -18.268976 0.749784 0.757000 -4.528211
    HCN -16.198534 0.498038 0.496900 0.713833
    HCO -22.262019 0.449887 0.444700 3.254932
    HCl -15.604804 0.165226 0.171000 -3.623105
    HF -24.897525 0.211255 0.226100 -9.315258
    HOCl -31.590694 0.254381 0.264700 -6.475113
    Li2 -0.428519 0.027204 0.038900 -7.339044
    LiF -24.593998 0.204537 0.222000 -10.958023
    LiH -0.782770 0.084646 0.092430 -4.884499
    N2 -19.930500 0.360302 0.364600 -2.697095
    N2H4 -22.248305 0.688242 0.699600 -7.127549
    NH -10.420288 0.137723 0.133500 2.649862
    NH2 -11.071521 0.291489 0.290400 0.683363
    NH3 -11.743856 0.466358 0.475500 -5.736732
    NO -25.930965 0.249132 0.244500 2.906368
    Na2 -0.388094 0.029199 0.026800 1.505153
    NaCl -15.269819 0.148259 0.157400 -5.735881
    O2 -31.995301 0.201832 0.192400 5.918906
    OH -16.559378 0.165177 0.170200 -3.152207
    P2 -13.108144 0.181196 0.186000 -3.014399
    PH2 -7.701329 0.242923 0.244000 -0.676083
    PH3 -8.331783 0.375910 0.389000 -8.214205
    S2 -20.389615 0.166824 0.164000 1.771909
    SO -26.202316 0.194186 0.200700 -4.087746
    SO2 -42.278179 0.373314 0.414400 -25.781815
    Si2 -7.652895 0.123445 0.121000 1.533993
    Si2H6 -11.328456 0.814207 0.849000 -21.832665
    SiH21A1 -4.991833 0.232175 0.243000 -6.792524
    SiH23B1 -4.967646 0.207988 0.210000 -1.262584
    SiH3 -5.606754 0.349629 0.363000 -8.390186
    SiH4 -6.248524 0.493933 0.515000 -13.219613
    SiO -19.946833 0.285373 0.306700 -13.382961
        5.02 -3.70 6.04
  2. BLYP
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.988064      
    C -5.410195      
    Cl -14.916694      
    F -24.189925      
    H -0.495150      
    Li -0.196349      
    N -9.770509      
    Na -0.175409      
    O -15.891656      
    P -6.435546      
    S -10.085757      
    Si -3.745381      
    BeH -1.556618 0.073404 0.079400 -3.762589
    C2H2 -12.424888 0.614199 0.642400 -17.696462
    C2H4 -13.670672 0.869683 0.899000 -18.396908
    C2H6 -14.894114 1.102825 1.136900 -21.382711
    CH -6.039336 0.133992 0.133900 0.057494
    CH21A1 -6.680512 0.280018 0.288900 -5.573735
    CH23B1 -6.700676 0.300181 0.304100 -2.459253
    CH3 -7.378027 0.482382 0.490800 -5.282205
    CH3Cl -22.418187 0.605849 0.631000 -15.782783
    CH4 -8.046184 0.655389 0.670300 -9.356578
    CN -15.461499 0.280795 0.288800 -5.022934
    CO -21.691791 0.389940 0.413700 -14.909668
    CO2 -37.783235 0.589728 0.621400 -19.874348
    CS -15.750022 0.254070 0.274000 -12.506389
    Cl2 -29.911351 0.077964 0.094000 -10.062795
    ClF -39.192330 0.085712 0.100100 -9.028879
    ClO -30.902002 0.093652 0.104700 -6.932904
    F2 -48.439704 0.059855 0.062200 -1.471341
    H2CO -22.868751 0.576600 0.596700 -12.612673
    H2O -17.230950 0.348993 0.371900 -14.374084
    H2O2 -33.174732 0.401119 0.429400 -17.746395
    H2S -11.356030 0.279973 0.292000 -7.547210
    H3COH -24.068207 0.785756 0.818700 -20.672837
    H3CSH -18.202429 0.725877 0.757000 -19.530185
    HCN -16.157678 0.481825 0.496900 -9.459961
    HCO -22.227978 0.430977 0.444700 -8.611273
    HCl -15.573480 0.161636 0.171000 -5.876015
    HF -24.892357 0.207283 0.226100 -11.808019
    HOCl -31.545554 0.242054 0.264700 -14.210349
    Li2 -0.422799 0.030101 0.038900 -5.521584
    LiF -24.592187 0.205913 0.222000 -10.094817
    LiH -0.785101 0.093602 0.092430 0.735479
    N2 -19.893203 0.352186 0.364600 -7.790038
    N2H4 -22.195729 0.674112 0.699600 -15.994195
    NH -10.404192 0.138533 0.133500 3.158563
    NH2 -11.051687 0.290878 0.290400 0.300194
    NH3 -11.718246 0.462287 0.475500 -8.291101
    NO -25.900491 0.238326 0.244500 -3.874276
    Na2 -0.382275 0.031458 0.026800 2.922856
    NaCl -15.239428 0.147326 0.157400 -6.321734
    O2 -31.970426 0.187114 0.192400 -3.317107
    OH -16.550158 0.163352 0.170200 -4.296993
    P2 -13.050474 0.179383 0.186000 -4.152363
    PH2 -7.672579 0.246733 0.244000 1.715282
    PH3 -8.300701 0.379706 0.389000 -5.832266
    S2 -20.325400 0.153885 0.164000 -6.346952
    SO -26.160130 0.182716 0.200700 -11.284931
    SO2 -42.216285 0.347216 0.414400 -42.158747
    Si2 -7.606253 0.115492 0.121000 -3.456402
    Si2H6 -11.277898 0.816237 0.849000 -20.558971
    SiH21A1 -4.974313 0.238632 0.243000 -2.740794
    SiH23B1 -4.942689 0.207008 0.210000 -1.877254
    SiH3 -5.584612 0.353781 0.363000 -5.784830
    SiH4 -6.227515 0.501534 0.515000 -8.449969
    SiO -19.919708 0.282671 0.306700 -15.078155
        9.53 -9.21 7.91
  3. PBE0
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.994318      
    C -5.421146      
    Cl -14.948397      
    F -24.189146      
    H -0.499431      
    Li -0.200948      
    N -9.790708      
    Na -0.179543      
    O -15.897980      
    P -6.467798      
    S -10.116079      
    Si -3.766144      
    BeH -1.563416 0.069667 0.079400 -6.107710
    C2H2 -12.469009 0.627855 0.642400 -9.126831
    C2H4 -13.729397 0.889383 0.899000 -6.034906
    C2H6 -14.969664 1.130787 1.136900 -3.835669
    CH -6.051735 0.131158 0.133900 -1.720354
    CH21A1 -6.697562 0.277555 0.288900 -7.119041
    CH23B1 -6.730766 0.310759 0.304100 4.178584
    CH3 -7.410762 0.491324 0.490800 0.328793
    CH3Cl -22.489249 0.621414 0.631000 -6.015040
    CH4 -8.084052 0.665184 0.670300 -3.210638
    CN -15.481772 0.269918 0.288800 -11.848704
    CO -21.707474 0.388349 0.413700 -15.908271
    CO2 -37.808272 0.591167 0.621400 -18.971563
    CS -15.789677 0.252453 0.274000 -13.521048
    Cl2 -29.976361 0.079568 0.094000 -9.056149
    ClF -39.215130 0.077587 0.100100 -14.126921
    ClO -30.930958 0.084582 0.104700 -12.624402
    F2 -48.413376 0.035084 0.062200 -17.015433
    H2CO -22.896206 0.578219 0.596700 -11.597073
    H2O -17.243034 0.346193 0.371900 -16.131389
    H2O2 -33.181595 0.386774 0.429400 -26.748059
    H2S -11.394289 0.279349 0.292000 -7.938658
    H3COH -24.112980 0.796131 0.818700 -14.162344
    H3CSH -18.277123 0.742176 0.757000 -9.302473
    HCN -16.188403 0.477119 0.496900 -12.412831
    HCO -22.247789 0.429232 0.444700 -9.706149
    HCl -15.610641 0.162814 0.171000 -5.136966
    HF -24.893575 0.204998 0.226100 -13.241447
    HOCl -31.582495 0.236687 0.264700 -17.578181
    Li2 -0.429515 0.027619 0.038900 -7.079069
    LiF -24.584862 0.194768 0.222000 -17.088359
    LiH -0.783495 0.083116 0.092430 -5.844810
    N2 -19.915794 0.334378 0.364600 -18.964545
    N2H4 -22.245726 0.666587 0.699600 -20.715792
    NH -10.422715 0.132576 0.133500 -0.579621
    NH2 -11.073067 0.283498 0.290400 -4.331116
    NH3 -11.745934 0.456934 0.475500 -11.650536
    NO -25.910568 0.221880 0.244500 -14.194094
    Na2 -0.388297 0.029211 0.026800 1.512975
    NaCl -15.275186 0.147246 0.157400 -6.371465
    O2 -31.969016 0.173056 0.192400 -12.138469
    OH -16.557417 0.160007 0.170200 -6.396441
    P2 -13.099744 0.164149 0.186000 -13.711721
    PH2 -7.705875 0.239216 0.244000 -3.002098
    PH3 -8.337411 0.371321 0.389000 -11.093813
    S2 -20.385501 0.153343 0.164000 -6.687206
    SO -26.187489 0.173431 0.200700 -17.111743
    SO2 -42.244171 0.332133 0.414400 -51.623428
    Si2 -7.648771 0.116482 0.121000 -2.835333
    Si2H6 -11.344420 0.815547 0.849000 -20.992322
    SiH21A1 -4.995147 0.230141 0.243000 -8.069434
    SiH23B1 -4.972367 0.207361 0.210000 -1.655782
    SiH3 -5.614139 0.349702 0.363000 -8.344468
    SiH4 -6.258532 0.494664 0.515000 -12.760999
    SiO -19.928931 0.264807 0.306700 -26.288172
        11.20 -10.98 8.68
  4. B3LYP
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.998136      
    C -5.431412      
    Cl -14.958096      
    F -24.222499      
    H -0.500253      
    Li -0.200391      
    N -9.799156      
    Na -0.179112      
    O -15.920208      
    P -6.464518      
    S -10.120165      
    Si -3.766224      
    BeH -1.571692 0.073303 0.079400 -3.825922
    C2H2 -12.477544 0.614215 0.642400 -17.686218
    C2H4 -13.739894 0.876060 0.899000 -14.395056
    C2H6 -14.980872 1.116533 1.136900 -12.780420
    CH -6.065520 0.133856 0.133900 -0.027889
    CH21A1 -6.714134 0.282217 0.288900 -4.193516
    CH23B1 -6.735275 0.303358 0.304100 -0.465871
    CH3 -7.419748 0.487578 0.490800 -2.021549
    CH3Cl -22.501275 0.611009 0.631000 -12.544429
    CH4 -8.095463 0.663040 0.670300 -4.555422
    CN -15.494947 0.264379 0.288800 -15.324218
    CO -21.734424 0.382804 0.413700 -19.387516
    CO2 -37.847080 0.575252 0.621400 -28.958440
    CS -15.797931 0.246354 0.274000 -17.348432
    Cl2 -29.990079 0.073886 0.094000 -12.621473
    ClF -39.257406 0.076811 0.100100 -14.613891
    ClO -30.960845 0.082540 0.104700 -13.905499
    F2 -48.486531 0.041533 0.062200 -12.968601
    H2CO -22.924738 0.572612 0.596700 -15.115297
    H2O -17.269507 0.348793 0.371900 -14.499605
    H2O2 -33.231658 0.390736 0.429400 -24.261910
    H2S -11.402655 0.281985 0.292000 -6.284520
    H3COH -24.142533 0.789903 0.818700 -18.070330
    H3CSH -18.285654 0.733067 0.757000 -15.018499
    HCN -16.204026 0.473206 0.496900 -14.868506
    HCO -22.274671 0.422798 0.444700 -13.743833
    HCl -15.620958 0.162609 0.171000 -5.265529
    HF -24.929058 0.206307 0.226100 -12.420602
    HOCl -31.613929 0.235372 0.264700 -18.403511
    Li2 -0.432168 0.031385 0.038900 -4.716027
    LiF -24.624234 0.201344 0.222000 -12.962157
    LiH -0.794310 0.093666 0.092430 0.775841
    N2 -19.935745 0.337433 0.364600 -17.047592
    N2H4 -22.269483 0.670161 0.699600 -18.473055
    NH -10.435276 0.135868 0.133500 1.485985
    NH2 -11.088339 0.288679 0.290400 -1.080166
    NH3 -11.762250 0.462337 0.475500 -8.259916
    NO -25.941999 0.222635 0.244500 -13.720627
    Na2 -0.390663 0.032439 0.026800 3.538531
    NaCl -15.286310 0.149102 0.157400 -5.207230
    O2 -32.011133 0.170717 0.192400 -13.606397
    OH -16.582737 0.162277 0.170200 -4.971952
    P2 -13.098680 0.169644 0.186000 -10.263348
    PH2 -7.712417 0.247394 0.244000 2.129876
    PH3 -8.347350 0.382075 0.389000 -4.345558
    S2 -20.387748 0.147418 0.164000 -10.405389
    SO -26.211855 0.171481 0.200700 -18.335010
    SO2 -42.286626 0.326044 0.414400 -55.444250
    Si2 -7.645154 0.112706 0.121000 -5.204294
    Si2H6 -11.364090 0.830127 0.849000 -11.842896
    SiH21A1 -5.007363 0.240635 0.243000 -1.484352
    SiH23B1 -4.976415 0.209686 0.210000 -0.196828
    SiH3 -5.625722 0.358740 0.363000 -2.673003
    SiH4 -6.276243 0.509010 0.515000 -3.759095
    SiO -19.957807 0.271375 0.306700 -22.166550
        11.27 -10.98 9.59

2.5.3 \(\mu=0\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.993248       7
    C -5.415027       22
    Cl -14.939960       15
    F -24.186522       15
    H -0.497463       1
    Li -0.200622       1
    N -9.781515       15
    Na -0.179437       1
    O -15.892659       30
    P -6.462474       12
    S -10.108694       19
    Si -3.762593       21
    BeH -1.558664 0.067953 0.079400 -7.183403 15
    C2H2 -12.471515 0.646535 0.642400 2.594724 23
    C2H4 -13.724919 0.905013 0.899000 3.773372 47
    C2H6 -14.956874 1.142042 1.136900 3.226464 95
    CH -6.046757 0.134267 0.133900 0.230129 16
    CH21A1 -6.693162 0.283209 0.288900 -3.571043 11
    CH23B1 -6.718171 0.308218 0.304100 2.583914 35
    CH3 -7.400803 0.493387 0.490800 1.623267 34
    CH3Cl -22.480882 0.633506 0.631000 1.572723 95
    CH4 -8.075889 0.671010 0.670300 0.445691 47
    CN -15.495478 0.298936 0.288800 6.360200 80
    CO -21.720728 0.413042 0.413700 -0.413200 47
    CO2 -37.836668 0.636322 0.621400 9.363959 99
    CS -15.798359 0.274638 0.274000 0.400572 47
    Cl2 -29.973613 0.093693 0.094000 -0.192680 47
    ClF -39.225326 0.098844 0.100100 -0.788330 95
    ClO -30.939687 0.107068 0.104700 1.485702 139
    F2 -48.441566 0.068522 0.062200 3.967041 23
    H2CO -22.906390 0.603778 0.596700 4.441495 95
    H2O -17.246557 0.358972 0.371900 -8.112291 23
    H2O2 -33.201845 0.421601 0.429400 -4.894030 95
    H2S -11.389511 0.285891 0.292000 -3.833390 23
    H3COH -24.114466 0.816928 0.818700 -1.111846 191
    H3CSH -18.268034 0.754461 0.757000 -1.593168 191
    HCN -16.198138 0.504133 0.496900 4.538815 23
    HCO -22.259446 0.454297 0.444700 6.022308 75
    HCl -15.604297 0.166874 0.171000 -2.589052 5
    HF -24.897651 0.213666 0.226100 -7.802434 23
    HOCl -31.590525 0.260443 0.264700 -2.671322 95
    Li2 -0.428509 0.027266 0.038900 -7.300224 5
    LiF -24.593060 0.205916 0.222000 -10.092758 11
    LiH -0.782437 0.084353 0.092430 -5.068356 5
    N2 -19.930424 0.367394 0.364600 1.753156 23
    N2H4 -22.248700 0.695818 0.699600 -2.372950 191
    NH -10.415491 0.136513 0.133500 1.890457 45
    NH2 -11.068639 0.292198 0.290400 1.128279 35
    NH3 -11.744005 0.470101 0.475500 -3.387745 23
    NO -25.928806 0.254632 0.244500 6.357683 35
    Na2 -0.388056 0.029181 0.026800 1.494119 5
    NaCl -15.268927 0.149530 0.157400 -4.938570 5
    O2 -31.991110 0.205792 0.192400 8.403459 91
    OH -16.556950 0.166828 0.170200 -2.116121 35
    P2 -13.107745 0.182797 0.186000 -2.009646 11
    PH2 -7.698555 0.241155 0.244000 -1.785277 35
    PH3 -8.331759 0.376896 0.389000 -7.595484 47
    S2 -20.387830 0.170442 0.164000 4.042575 39
    SO -26.199505 0.198152 0.200700 -1.598897 89
    SO2 -42.278140 0.384129 0.414400 -18.995528 192
    Si2 -7.647965 0.122779 0.121000 1.116624 48
    Si2H6 -11.327554 0.817591 0.849000 -19.709209 95
    SiH21A1 -4.991589 0.234071 0.243000 -5.603195 23
    SiH23B1 -4.962884 0.205365 0.210000 -2.908299 41
    SiH3 -5.603916 0.348935 0.363000 -8.826063 67
    SiH4 -6.249339 0.496894 0.515000 -11.361548 95
    SiO -19.946413 0.291161 0.306700 -9.750901 23
        4.53 -1.66 5.91  
  2. DMC
      Total E Delta E     Reference Error   Ndet
      Hartree Hartree     Hartree kcal/mol    
    Be -0.998148 0.000092 0.000000 0.000130       7
    C -5.416660 0.000115 0.000000 0.000162       22
    Cl -14.941027 0.000238 0.000000 0.000337       15
    F -24.188696 0.000307 0.000000 0.000434       15
    H -0.500031 0.000018 0.000000 0.000026       1
    Li -0.196316 0.000015 0.000000 0.000021       1
    N -9.788967 0.000036 0.000000 0.000050       15
    Na -0.182137 0.000024 0.000000 0.000035       1
    O -15.892761 0.000165 0.000000 0.000234       30
    P -6.462282 0.000147 0.000000 0.000208       12
    S -10.108631 0.000180 0.000000 0.000254       19
    Si -3.758637 0.000127 0.000000 0.000179       21
    BeH -1.577615 0.000141 0.079436 0.000169 0.079400 0.022764 0.105989 15
    C2H2 -12.484315 0.000151 0.650934 0.000277 0.642400 5.355209 0.173910 23
    C2H4 -13.739259 0.000229 0.905816 0.000332 0.899000 4.277377 0.208402 47
    C2H6 -14.981071 0.000333 1.147568 0.000419 1.136900 6.694192 0.262996 95
    CH -6.049268 0.000196 0.132578 0.000228 0.133900 -0.829728 0.142843 16
    CH21A1 -6.703492 0.000238 0.286770 0.000266 0.288900 -1.336311 0.167125 11
    CH23B1 -6.724996 0.000269 0.308275 0.000295 0.304100 2.619917 0.185176 35
    CH3 -7.412882 0.000292 0.496130 0.000318 0.490800 3.344668 0.199835 34
    CH3Cl -22.489205 0.000399 0.631425 0.000482 0.631000 0.266960 0.302320 95
    CH4 -8.092108 0.000399 0.675326 0.000421 0.670300 3.153570 0.264435 47
    CN -15.485848 0.000492 0.280221 0.000507 0.288800 -5.383274 0.317893 80
    CO -21.720292 0.000637 0.410872 0.000668 0.413700 -1.774827 0.419105 47
    CO2 -37.821311 0.000457 0.619130 0.000576 0.621400 -1.424287 0.361548 99
    CS -15.791296 0.000506 0.266005 0.000549 0.274000 -5.016926 0.344390 47
    Cl2 -29.970408 0.000318 0.088353 0.000573 0.094000 -3.543283 0.359273 47
    ClF -39.217307 0.000473 0.087584 0.000612 0.100100 -7.853689 0.384201 95
    ClO -30.922660 0.000313 0.088872 0.000426 0.104700 -9.932428 0.267499 139
    F2 -48.419510 0.000441 0.042118 0.000756 0.062200 -12.601453 0.474402 23
    H2CO -22.905562 0.000327 0.596081 0.000386 0.596700 -0.388687 0.242254 95
    H2O -17.253644 0.000357 0.360822 0.000395 0.371900 -6.951452 0.247730 23
    H2O2 -33.191401 0.000427 0.405818 0.000541 0.429400 -14.797733 0.339586 95
    H2S -11.395361 0.000322 0.286668 0.000370 0.292000 -3.345828 0.232243 23
    H3COH -24.124994 0.000490 0.815451 0.000535 0.818700 -2.039009 0.335828 191
    H3CSH -18.280515 0.000406 0.755102 0.000465 0.757000 -1.191089 0.291560 191
    HCN -16.202168 0.000572 0.496510 0.000585 0.496900 -0.244593 0.366861 23
    HCO -22.249935 0.000774 0.440484 0.000800 0.444700 -2.645570 0.501756 75
    HCl -15.609712 0.000275 0.168654 0.000364 0.171000 -1.472270 0.228279 5
    HF -24.906034 0.000455 0.217308 0.000549 0.226100 -5.517341 0.344784 23
    HOCl -31.584385 0.000377 0.250566 0.000476 0.264700 -8.869252 0.298768 95
    Li2 -0.427876 0.000084 0.035245 0.000089 0.038900 -2.293696 0.055644 5
    LiF -24.603768 0.000419 0.218757 0.000519 0.222000 -2.035264 0.325981 11
    LiH -0.787812 0.000083 0.091466 0.000086 0.092430 -0.605086 0.053909 5
    N2 -19.928185 0.000613 0.350251 0.000617 0.364600 -9.004438 0.387145 23
    N2H4 -22.255178 0.000375 0.677120 0.000388 0.699600 -14.106114 0.243589 191
    NH -10.417399 0.000228 0.128401 0.000232 0.133500 -3.199541 0.145362 45
    NH2 -11.073019 0.000082 0.283990 0.000097 0.290400 -4.022326 0.060564 35
    NH3 -11.755605 0.000347 0.466545 0.000353 0.475500 -5.619208 0.221255 23
    NO -25.910194 0.000669 0.228466 0.000690 0.244500 -10.061467 0.433014 35
    Na2 -0.391131 0.000091 0.026858 0.000103 0.026800 0.036634 0.064662 5
    NaCl -15.281629 0.001813 0.158465 0.001829 0.157400 0.668304 1.147535 5
    O2 -31.964858 0.000879 0.179337 0.000939 0.192400 -8.197267 0.589424 91
    OH -16.557607 0.000305 0.164816 0.000348 0.170200 -3.378615 0.218269 35
    P2 -13.097772 0.000437 0.173209 0.000527 0.186000 -8.026652 0.330702 11
    PH2 -7.702449 0.000290 0.240107 0.000327 0.244000 -2.443158 0.205081 35
    PH3 -8.340935 0.000453 0.378561 0.000480 0.389000 -6.550546 0.301126 47
    S2 -20.374718 0.000620 0.157456 0.000717 0.164000 -4.106672 0.449728 39
    SO -26.188905 0.000740 0.187514 0.000780 0.200700 -8.274629 0.489251 89
    SO2 -42.271831 0.000759 0.377679 0.000847 0.414400 -23.042908 0.531638 192
    Si2 -7.631237 0.000129 0.113964 0.000285 0.121000 -4.415309 0.178590 48
    Si2H6 -11.363350 0.000519 0.845893 0.000588 0.849000 -1.949890 0.368734 95
    SiH21A1 -5.001084 0.000271 0.242386 0.000301 0.243000 -0.385367 0.188852 23
    SiH23B1 -4.969578 0.000276 0.210880 0.000306 0.210000 0.552077 0.191864 41
    SiH3 -5.619669 0.000385 0.360940 0.000409 0.363000 -1.292645 0.256902 67
    SiH4 -6.273878 0.000571 0.515119 0.000590 0.515000 0.074705 0.370052 95
    SiO -19.948315 0.000541 0.296918 0.000580 0.306700 -6.138378 0.364006 23
      4.61 0.34 -3.62 5.30 0.09      

2.5.4 \(\mu=1/4\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.990898       12
    C -5.418170       7
    Cl -14.937611       11
    F -24.188208       8
    H -0.498899       1
    Li -0.198788       1
    N -9.786270       9
    Na -0.176097       1
    O -15.894795       6
    P -6.461580       41
    S -10.106026       6
    Si -3.759767       35
    BeH -1.558909 0.069111 0.079400 -6.456475 7
    C2H2 -12.471698 0.637560 0.642400 -3.037220 198
    C2H4 -13.726706 0.894768 0.899000 -2.655519 385
    C2H6 -14.962823 1.133087 1.136900 -2.392704 2916
    CH -6.046905 0.129835 0.133900 -2.550684 7
    CH21A1 -6.693768 0.277799 0.288900 -6.966033 8
    CH23B1 -6.720192 0.304223 0.304100 0.077471 6
    CH3 -7.402377 0.487509 0.490800 -2.065178 26
    CH3Cl -22.479630 0.627151 0.631000 -2.415124 1601
    CH4 -8.077764 0.663997 0.670300 -3.955332 95
    CN -15.489681 0.285241 0.288800 -2.233465 171
    CO -21.724108 0.411144 0.413700 -1.604169 51
    CO2 -37.837557 0.629798 0.621400 5.269703 184
    CS -15.789705 0.265510 0.274000 -5.327873 414
    Cl2 -29.964137 0.088916 0.094000 -3.190568 394
    ClF -39.223298 0.097479 0.100100 -1.644539 20
    ClO -30.934485 0.102079 0.104700 -1.644598 101
    F2 -48.443178 0.066763 0.062200 2.863228 8
    H2CO -22.908464 0.597700 0.596700 0.627571 193
    H2O -17.249751 0.357158 0.371900 -9.250928 8
    H2O2 -33.205714 0.418325 0.429400 -6.949513 23
    H2S -11.384757 0.280933 0.292000 -6.944801 150
    H3COH -24.120733 0.812171 0.818700 -4.097129 1684
    H3CSH -18.266078 0.746285 0.757000 -6.723789 3354
    HCN -16.198560 0.495220 0.496900 -1.054027 200
    HCO -22.261161 0.449297 0.444700 2.884545 311
    HCl -15.601020 0.164510 0.171000 -4.072465 42
    HF -24.900836 0.213729 0.226100 -7.763223 10
    HOCl -31.588728 0.257423 0.264700 -4.566233 422
    Li2 -0.427271 0.029694 0.038900 -5.776626 11
    LiF -24.598963 0.211967 0.222000 -6.295769 9
    LiH -0.784367 0.086680 0.092430 -3.608453 5
    N2 -19.931576 0.359035 0.364600 -3.491877 48
    N2H4 -22.254132 0.685994 0.699600 -8.537908 3322
    NH -10.417015 0.131845 0.133500 -1.038490 7
    NH2 -11.069643 0.285574 0.290400 -3.028271 14
    NH3 -11.746153 0.463185 0.475500 -7.728019 9
    NO -25.930468 0.249403 0.244500 3.076957 18
    Na2 -0.384111 0.031918 0.026800 3.211375 23
    NaCl -15.267390 0.153682 0.157400 -2.332817 92
    O2 -31.992300 0.202710 0.192400 6.469744 15
    OH -16.558997 0.165303 0.170200 -3.072822 13
    P2 -13.090532 0.167372 0.186000 -11.689277 804
    PH2 -7.693593 0.234214 0.244000 -6.140965 105
    PH3 -8.326289 0.368010 0.389000 -13.171175 394
    S2 -20.373301 0.161249 0.164000 -1.726247 1098
    SO -26.195430 0.194609 0.200700 -3.822324 254
    SO2 -42.274650 0.379035 0.414400 -22.191981 1604
    Si2 -7.628879 0.109345 0.121000 -7.313897 1389
    Si2H6 -11.325316 0.812385 0.849000 -22.976204 6367
    SiH21A1 -4.987179 0.229613 0.243000 -8.400549 148
    SiH23B1 -4.960986 0.203420 0.210000 -4.129318 113
    SiH3 -5.602453 0.345988 0.363000 -10.675270 290
    SiH4 -6.248122 0.492757 0.515000 -13.957637 765
    SiO -19.945329 0.290767 0.306700 -9.998336 307
        5.55 -4.66 5.52  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.000950 0.000077 0.000000 0.000109       12
    C -5.418125 0.000127 0.000000 0.000180       7
    Cl -14.941712 0.000114 0.000000 0.000162       11
    F -24.188728 0.000285 0.000000 0.000403       8
    H -0.499992 0.000020 0.000000 0.000029       1
    Li -0.196329 0.000015 0.000000 0.000021       1
    N -9.788667 0.000111 0.000000 0.000157       9
    Na -0.182037 0.000024 0.000000 0.000033       1
    O -15.892785 0.000180 0.000000 0.000254       6
    P -6.464300 0.000138 0.000000 0.000195       41
    S -10.109068 0.000153 0.000000 0.000217       6
    Si -3.759874 0.000098 0.000000 0.000139       35
    BeH -1.577971 0.000128 0.077029 0.000151 0.079400 -1.487643 0.094552 7
    C2H2 -12.486730 0.000669 0.650496 0.000716 0.642400 5.080370 0.449548 198
    C2H4 -13.741231 0.000683 0.905014 0.000733 0.899000 3.773550 0.460116 385
    C2H6 -14.980526 0.000464 1.144325 0.000543 1.136900 4.659101 0.340885 2916
    CH -6.049806 0.000150 0.131689 0.000197 0.133900 -1.387389 0.123828 7
    CH21A1 -6.705096 0.000214 0.286988 0.000252 0.288900 -1.200013 0.158314 8
    CH23B1 -6.725226 0.000143 0.307118 0.000196 0.304100 1.893573 0.122759 6
    CH3 -7.412609 0.000358 0.494508 0.000385 0.490800 2.326982 0.241282 26
    CH3Cl -22.492399 0.000748 0.632586 0.000770 0.631000 0.995103 0.483283 1601
    CH4 -8.093244 0.000174 0.675152 0.000231 0.670300 3.044423 0.144710 95
    CN -15.490160 0.000308 0.283368 0.000351 0.288800 -3.408539 0.220358 171
    CO -21.723377 0.000665 0.412467 0.000700 0.413700 -0.773921 0.439229 51
    CO2 -37.822849 0.000494 0.619154 0.000624 0.621400 -1.409325 0.391315 184
    CS -15.796844 0.000377 0.269651 0.000426 0.274000 -2.728813 0.267315 414
    Cl2 -29.973351 0.000494 0.089927 0.000545 0.094000 -2.555890 0.341684 394
    ClF -39.219049 0.000920 0.088609 0.000970 0.100100 -7.210469 0.608396 20
    ClO -30.924581 0.000543 0.090083 0.000583 0.104700 -9.172141 0.366117 101
    F2 -48.421969 0.000420 0.044513 0.000708 0.062200 -11.098678 0.444069 8
    H2CO -22.906726 0.000603 0.595833 0.000643 0.596700 -0.544331 0.403588 193
    H2O -17.253825 0.000305 0.361056 0.000356 0.371900 -6.804531 0.223570 8
    H2O2 -33.192631 0.000246 0.407077 0.000437 0.429400 -14.008183 0.274326 23
    H2S -11.397763 0.000419 0.288711 0.000448 0.292000 -2.063710 0.281350 150
    H3COH -24.124458 0.000636 0.813580 0.000678 0.818700 -3.212607 0.425360 1684
    H3CSH -18.283433 0.000546 0.756272 0.000587 0.757000 -0.456731 0.368206 3354
    HCN -16.204158 0.000579 0.497375 0.000603 0.496900 0.297906 0.378384 200
    HCO -22.253647 0.000678 0.442745 0.000713 0.444700 -1.226619 0.447521 311
    HCl -15.611220 0.000442 0.169515 0.000457 0.171000 -0.931623 0.287064 42
    HF -24.906153 0.000593 0.217433 0.000658 0.226100 -5.438329 0.412875 10
    HOCl -31.587513 0.000397 0.253023 0.000451 0.264700 -7.327206 0.282720 422
    Li2 -0.430261 0.000053 0.037603 0.000061 0.038900 -0.814136 0.038053 11
    LiF -24.604507 0.000693 0.219450 0.000749 0.222000 -1.599960 0.470022 9
    LiH -0.787972 0.000110 0.091651 0.000113 0.092430 -0.488719 0.070934 5
    N2 -19.931961 0.000410 0.354628 0.000467 0.364600 -6.257629 0.292981 48
    N2H4 -22.255192 0.000763 0.677891 0.000799 0.699600 -13.622919 0.501092 3322
    NH -10.417875 0.000259 0.129216 0.000283 0.133500 -2.688057 0.177463 7
    NH2 -11.073561 0.000181 0.284910 0.000217 0.290400 -3.444851 0.135913 14
    NH3 -11.755378 0.000233 0.466736 0.000265 0.475500 -5.499711 0.166436 9
    NO -25.913532 0.000811 0.232081 0.000838 0.244500 -7.793344 0.525825 18
    Na2 -0.391001 0.000066 0.026926 0.000081 0.026800 0.079339 0.051089 23
    NaCl -15.283725 0.001574 0.159976 0.001579 0.157400 1.616163 0.990687 92
    O2 -31.966079 0.000404 0.180509 0.000540 0.192400 -7.461779 0.339051 15
    OH -16.557945 0.000264 0.165168 0.000320 0.170200 -3.157852 0.200625 13
    P2 -13.103593 0.000602 0.174993 0.000662 0.186000 -6.907095 0.415396 804
    PH2 -7.704684 0.000262 0.240399 0.000299 0.244000 -2.259446 0.187559 105
    PH3 -8.342310 0.000522 0.378034 0.000543 0.389000 -6.881522 0.340693 394
    S2 -20.378979 0.000644 0.160843 0.000713 0.164000 -1.980744 0.447258 1098
    SO -26.191046 0.000345 0.189193 0.000418 0.200700 -7.220757 0.262336 254
    SO2 -42.273362 0.001257 0.378724 0.001316 0.414400 -22.387194 0.825742 1604
    Si2 -7.635631 0.000338 0.115883 0.000391 0.121000 -3.210959 0.245465 1389
    Si2H6 -11.365782 0.000704 0.846082 0.000741 0.849000 -1.831326 0.464982 6367
    SiH21A1 -5.002280 0.000298 0.242422 0.000316 0.243000 -0.362891 0.198585 148
    SiH23B1 -4.971591 0.000317 0.211733 0.000334 0.210000 1.087719 0.209637 113
    SiH3 -5.620878 0.000316 0.361028 0.000337 0.363000 -1.237534 0.211323 290
    SiH4 -6.274259 0.000352 0.514417 0.000375 0.515000 -0.365936 0.235128 765
    SiO -19.950838 0.000744 0.298179 0.000772 0.306700 -5.347322 0.484376 307
      4.04 0.37 -3.13 4.88 0.10      

2.5.5 \(\mu=1/2\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.992733       11
    C -5.424193       64
    Cl -14.936917       461
    F -24.211164       47
    H -0.502302       1
    Li -0.196387       1
    N -9.800001       55
    Na -0.174540       1
    O -15.911458       107
    P -6.459292       159
    S -10.103616       243
    Si -3.755570       129
    BeH -1.559665 0.064630 0.079400 -9.268590 123
    C2H2 -12.471534 0.618546 0.642400 -14.968783 9728
    C2H4 -13.729919 0.872327 0.899000 -16.737595 23964
    C2H6 -14.972133 1.109937 1.136900 -16.919464 91784
    CH -6.051231 0.124737 0.133900 -5.750116 563
    CH21A1 -6.698845 0.270049 0.288900 -11.829303 835
    CH23B1 -6.727757 0.298961 0.304100 -3.224773 1246
    CH3 -7.409416 0.478319 0.490800 -7.832194 1237
    CH3Cl -22.477835 0.609820 0.631000 -13.290489 49757
    CH4 -8.084849 0.651450 0.670300 -11.828671 6627
    CN -15.486349 0.262155 0.288800 -16.719820 11031
    CO -21.730324 0.394674 0.413700 -11.939218 5235
    CO2 -37.845033 0.597923 0.621400 -14.731778 36066
    CS -15.779785 0.251977 0.274000 -13.819555 24821
    Cl2 -29.950545 0.076711 0.094000 -10.848822 12189
    ClF -39.229805 0.081725 0.100100 -11.530775 13567
    ClO -30.931179 0.082804 0.104700 -13.740165 12137
    F2 -48.464871 0.042543 0.062200 -12.334916 1743
    H2CO -22.915457 0.575202 0.596700 -13.490053 11335
    H2O -17.262607 0.346545 0.371900 -15.910229 942
    H2O2 -33.218344 0.390824 0.429400 -24.206976 30977
    H2S -11.381054 0.272835 0.292000 -12.026395 2744
    H3COH -24.134504 0.789646 0.818700 -18.231622 55296
    H3CSH -18.264445 0.727429 0.757000 -18.556005 212599
    HCN -16.198797 0.472302 0.496900 -15.435639 6486
    HCO -22.265861 0.427908 0.444700 -10.537012 26176
    HCl -15.598913 0.159695 0.171000 -7.094202 1519
    HF -24.921651 0.208185 0.226100 -11.241954 278
    HOCl -31.588809 0.238132 0.264700 -16.671508 25000
    Li2 -0.428159 0.035385 0.038900 -2.205628 11
    LiF -24.616249 0.208698 0.222000 -8.347308 402
    LiH -0.783586 0.084897 0.092430 -4.726728 22
    N2 -19.934126 0.334123 0.364600 -19.124792 3285
    N2H4 -22.263550 0.654340 0.699600 -28.400957 96249
    NH -10.426427 0.124124 0.133500 -5.883439 571
    NH2 -11.077771 0.273166 0.290400 -10.814775 1273
    NH3 -11.754660 0.447753 0.475500 -17.411264 2702
    NO -25.936476 0.225016 0.244500 -12.226195 5339
    Na2 -0.382440 0.033360 0.026800 4.116616 20
    NaCl -15.261719 0.150263 0.157400 -4.478848 2786
    O2 -32.000687 0.177770 0.192400 -9.180349 4817
    OH -16.572557 0.158797 0.170200 -7.155712 390
    P2 -13.076194 0.157610 0.186000 -17.814920 75540
    PH2 -7.690653 0.226758 0.244000 -10.819833 3474
    PH3 -8.323782 0.357585 0.389000 -19.713400 6617
    S2 -20.355983 0.148751 0.164000 -9.568719 85880
    SO -26.191085 0.176011 0.200700 -15.492522 19128
    SO2 -42.269696 0.343164 0.414400 -44.701439 107472
    Si2 -7.617058 0.105918 0.121000 -9.464121 34421
    Si2H6 -11.328621 0.803669 0.849000 -28.445369 883316
    SiH21A1 -4.985178 0.225004 0.243000 -11.292633 1591
    SiH23B1 -4.960320 0.200146 0.210000 -6.183349 1938
    SiH3 -5.604066 0.341591 0.363000 -13.434514 5032
    SiH4 -6.251949 0.487171 0.515000 -17.462796 10672
    SiO -19.943845 0.276817 0.306700 -18.752034 13428
        13.42 -13.27 7.36  
  2. DMC without Jastrow
      Total E   Delta E   Ref Error  
      Hartree   Hartree     kcal/mol  
    Be -1.005406 0.000017          
    C -5.422342 0.000063          
    Cl -14.949570 0.000204          
    F -24.189415 0.000167          
    H -0.499999 0.000005          
    Li -0.196328 0.000003          
    N -9.789680 0.000095          
    Na -0.182036 0.000014          
    O -15.893123 0.000111          
    P -6.467707 0.000099          
    S -10.115998 0.000111          
    Si -3.762843 0.000063          
    C2H2 -12.489387 0.000584 0.644707 0.000598 0.642400 1.447461 0.375096
    C2H4 -13.744276 0.000668 0.899598 0.000680 0.899000 0.375397 0.426707
    C2H6 -14.983379 0.000770 1.138704 0.000781 1.136900 1.132012 0.490174
    CH -6.056035 0.000123 0.133695 0.000138 0.133900 -0.128821 0.086597
    CH21A1 -6.711544 0.000153 0.289206 0.000166 0.288900 0.191740 0.103885
    CH23B1 -6.727420 0.000148 0.305081 0.000161 0.304100 0.615573 0.101272
    CH3 -7.413712 0.000178 0.491374 0.000189 0.490800 0.360485 0.118741
    CH3Cl -22.500012 0.000804 0.628105 0.000832 0.631000 -1.816343 0.521865
    CH4 -8.094266 0.000377 0.671930 0.000383 0.670300 1.022969 0.240071
    CN -15.498861 0.000499 0.286838 0.000512 0.288800 -1.230928 0.321064
    CO -21.728832 0.000552 0.413368 0.000567 0.413700 -0.208251 0.355755
    CO2 -37.823698 0.002088 0.615111 0.002100 0.621400 -3.946408 1.318062
    CS -15.809147 0.000535 0.270807 0.000550 0.274000 -2.003750 0.345077
    Cl2 -29.987308 0.000616 0.088169 0.000739 0.094000 -3.659111 0.463821
    ClF -39.228251 0.000660 0.089267 0.000710 0.100100 -6.797869 0.445649
    ClO -30.935265 0.000858 0.092573 0.000889 0.104700 -7.609892 0.557853
    F2 -48.428399 0.000642 0.049569 0.000723 0.062200 -7.926000 0.453759
    H2CO -22.911646 0.000726 0.596184 0.000738 0.596700 -0.323590 0.462837
    H2O -17.253919 0.000265 0.360799 0.000287 0.371900 -6.965878 0.180187
    H2O2 -33.196548 0.000794 0.410305 0.000824 0.429400 -11.982031 0.517188
    H2S -11.403524 0.000238 0.287529 0.000263 0.292000 -2.805611 0.165046
    H3COH -24.125546 0.001003 0.810087 0.001011 0.818700 -5.404473 0.634540
    H3CSH -18.285601 0.002003 0.747267 0.002008 0.757000 -6.107676 1.259772
    HCN -16.208970 0.000638 0.496949 0.000648 0.496900 0.031033 0.406775
    HCO -22.257070 0.000696 0.441607 0.000708 0.444700 -1.940837 0.444111
    HCl -15.619019 0.000217 0.169451 0.000298 0.171000 -0.971823 0.186909
    HF -24.905752 0.000192 0.216339 0.000254 0.226100 -6.125233 0.159473
    HOCl -31.593260 0.002090 0.250570 0.002103 0.264700 -8.866896 1.319641
    Li2 -0.431228 0.000009 0.038572 0.000011 0.038900 -0.206025 0.006888
    LiF -24.604326 0.000217 0.218583 0.000273 0.222000 -2.143995 0.171552
    LiH -0.787889 0.000024 0.091562 0.000024 0.092430 -0.544720 0.015313
    N2 -19.936415 0.000503 0.357054 0.000538 0.364600 -4.735054 0.337403
    N2H4 -22.257362 0.001121 0.678007 0.001137 0.699600 -13.549683 0.713532
    NH -10.418918 0.000163 0.129239 0.000189 0.133500 -2.673761 0.118450
    NH2 -11.074786 0.000206 0.285108 0.000227 0.290400 -3.320737 0.142472
    NH3 -11.756541 0.000361 0.466865 0.000373 0.475500 -5.418711 0.234145
    NO -25.917223 0.000491 0.234420 0.000512 0.244500 -6.325104 0.321302
    Na2 -0.391012 0.000017 0.026941 0.000032 0.026800 0.088254 0.020137
    O2 -31.970735 0.000656 0.184490 0.000692 0.192400 -4.963399 0.434474
    OH -16.558893 0.000192 0.165772 0.000221 0.170200 -2.778520 0.138972
    P2 -13.112334 0.000859 0.176919 0.000881 0.186000 -5.698304 0.552833
    PH2 -7.708514 0.000219 0.240809 0.000241 0.244000 -2.002124 0.151062
    PH3 -8.346294 0.000373 0.378591 0.000386 0.389000 -6.531782 0.242174
    S2 -20.389230 0.000632 0.157233 0.000670 0.164000 -4.246237 0.420170
    SO -26.198185 0.000889 0.189064 0.000903 0.200700 -7.301947 0.566667
    SO2 -42.282962 0.001156 0.380718 0.001182 0.414400 -21.135723 0.741873
    Si2 -7.640306 0.000661 0.114620 0.000673 0.121000 -4.003500 0.422277
    Si2H6 -11.363397 0.002095 0.837720 0.002099 0.849000 -7.078147 1.317096
    SiH21A1 -5.005431 0.000169 0.242591 0.000180 0.243000 -0.256638 0.113068
    SiH23B1 -4.973161 0.000149 0.210321 0.000162 0.210000 0.201243 0.101394
    SiH3 -5.622956 0.000215 0.360118 0.000224 0.363000 -1.808494 0.140653
    SiH4 -6.276317 0.000343 0.513480 0.000349 0.515000 -0.953891 0.219015
    SiO -19.954192 0.000771 0.298227 0.000781 0.306700 -5.317083 0.490341
                3.87 0.50
  3. DMC
      Total E   Delta E   Ref Error   Ndet
      Hartree   Hartree     kcal/mol    
    Be -1.005733 0.000012 0.000000 0.000018       11
    C -5.422446 0.000070 0.000000 0.000100       64
    Cl -14.949689 0.000087 0.000000 0.000122       461
    F -24.188815 0.000114 0.000000 0.000161       47
    H -0.499996 0.000007 0.000000 0.000010       1
    Li -0.196329 0.000004 0.000000 0.000006       1
    N -9.789676 0.000079 0.000000 0.000112       55
    Na -0.182136 0.000008 0.000000 0.000011       1
    O -15.893286 0.000064 0.000000 0.000091       107
    P -6.467896 0.000077 0.000000 0.000109       159
    S -10.115941 0.000074 0.000000 0.000104       243
    Si -3.762860 0.000047 0.000000 0.000066       129
    BeH -1.580444 0.000075 0.074715 0.000076 0.079400 -2.939685 0.047668 123
    C2H2 -12.491168 0.000383 0.646285 0.000408 0.642400 2.437853 0.256215 9728
    C2H4 -13.744599 0.000444 0.899725 0.000466 0.899000 0.455073 0.292715 23964
    C2H6 -14.983176 0.000623 1.138311 0.000640 1.136900 0.885531 0.401733 91784
    CH -6.056197 0.000083 0.133756 0.000109 0.133900 -0.090328 0.068429 563
    CH21A1 -6.711440 0.000139 0.289004 0.000157 0.288900 0.064962 0.098268 835
    CH23B1 -6.727391 0.000143 0.304954 0.000160 0.304100 0.535803 0.100646 1246
    CH3 -7.413712 0.000127 0.491280 0.000147 0.490800 0.301192 0.092205 1237
    CH3Cl -22.499891 0.000809 0.627770 0.000817 0.631000 -2.026712 0.512703 49757
    CH4 -8.093698 0.000266 0.671270 0.000276 0.670300 0.608405 0.173340 6627
    CN -15.497971 0.000251 0.285850 0.000272 0.288800 -1.851206 0.170797 11031
    CO -21.728259 0.000361 0.412527 0.000373 0.413700 -0.735981 0.234286 5235
    CO2 -37.827070 0.001289 0.618053 0.001297 0.621400 -2.100522 0.813791 36066
    CS -15.807213 0.000434 0.268826 0.000446 0.274000 -3.246664 0.279694 24821
    Cl2 -29.987339 0.000995 0.087961 0.001010 0.094000 -3.789372 0.633674 12189
    ClF -39.225577 0.000775 0.087074 0.000788 0.100100 -8.174187 0.494734 13567
    ClO -30.934845 0.000499 0.091871 0.000511 0.104700 -8.050392 0.320560 12137
    F2 -48.424857 0.000827 0.047228 0.000857 0.062200 -9.394885 0.538069 1743
    H2CO -22.912166 0.000600 0.596443 0.000608 0.596700 -0.161127 0.381237 11335
    H2O -17.254291 0.000159 0.361014 0.000172 0.371900 -6.831237 0.107807 942
    H2O2 -33.194557 0.000902 0.407994 0.000911 0.429400 -13.432729 0.571901 30977
    H2S -11.403508 0.000134 0.287577 0.000153 0.292000 -2.775745 0.096133 2744
    H3COH -24.128469 0.000930 0.812755 0.000936 0.818700 -3.730536 0.587170 55296
    H3CSH -18.289905 0.000597 0.751536 0.000607 0.757000 -3.428421 0.380612 212599
    HCN -16.209503 0.000366 0.497386 0.000382 0.496900 0.305097 0.239420 6486
    HCO -22.256546 0.000832 0.440819 0.000838 0.444700 -2.435571 0.525542 26176
    HCl -15.618568 0.000238 0.168884 0.000254 0.171000 -1.328058 0.159119 1519
    HF -24.905370 0.000150 0.216560 0.000189 0.226100 -5.986662 0.118575 278
    HOCl -31.594348 0.000910 0.251377 0.000916 0.264700 -8.360050 0.574866 25000
    Li2 -0.431297 0.000010 0.038639 0.000013 0.038900 -0.163614 0.008245 11
    LiF -24.603053 0.000218 0.217910 0.000246 0.222000 -2.566504 0.154164 402
    LiH -0.788039 0.000016 0.091715 0.000018 0.092430 -0.448955 0.011471 22
    N2 -19.937268 0.000408 0.357917 0.000438 0.364600 -4.193666 0.274874 3285
    N2H4 -22.257960 0.000674 0.678627 0.000693 0.699600 -13.161038 0.434984 96249
    NH -10.418942 0.000074 0.129271 0.000109 0.133500 -2.654017 0.068307 571
    NH2 -11.074886 0.000191 0.285219 0.000208 0.290400 -3.250996 0.130244 1273
    NH3 -11.756232 0.000175 0.466569 0.000194 0.475500 -5.604107 0.121553 2702
    NO -25.917289 0.000376 0.234327 0.000389 0.244500 -6.383679 0.244231 5339
    Na2 -0.391068 0.000018 0.026796 0.000024 0.026800 -0.002375 0.015169 20
    NaCl -15.287768 0.000707 0.155943 0.000712 0.157400 -0.913983 0.446988 2786
    O2 -31.967636 0.000316 0.181064 0.000341 0.192400 -7.113317 0.214147 4817
    OH -16.558421 0.000179 0.165140 0.000190 0.170200 -3.175345 0.119481 390
    P2 -13.111447 0.000355 0.175656 0.000388 0.186000 -6.491089 0.243166 75540
    PH2 -7.708803 0.000129 0.240916 0.000151 0.244000 -1.935333 0.094517 3474
    PH3 -8.346383 0.000201 0.378501 0.000216 0.389000 -6.588341 0.135759 6617
    S2 -20.388289 0.000574 0.156408 0.000593 0.164000 -4.764171 0.371910 85880
    SO -26.197448 0.000375 0.188221 0.000388 0.200700 -7.830742 0.243477 19128
    SO2 -42.287379 0.001756 0.384866 0.001762 0.414400 -18.532671 1.105766 107472
    Si2 -7.641189 0.000167 0.115469 0.000191 0.121000 -3.470581 0.120134 34421
    Si2H6 -11.371029 0.000691 0.845336 0.000699 0.849000 -2.299207 0.438595 883316
    SiH21A1 -5.005695 0.000197 0.242843 0.000202 0.243000 -0.098230 0.127067 1591
    SiH23B1 -4.973133 0.000133 0.210282 0.000142 0.210000 0.176718 0.088899 1938
    SiH3 -5.623565 0.000149 0.360719 0.000157 0.363000 -1.431566 0.098601 5032
    SiH4 -6.276686 0.000227 0.513844 0.000233 0.515000 -0.725479 0.146503 10672
    SiO -19.954139 0.000398 0.297994 0.000406 0.306700 -5.463401 0.254487 13428
      3.74 0.35 -3.53 4.03 0.23      

2.5.6 \(\mu=1\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.997611       10
    C -5.420006       154
    Cl -14.923700       899
    F -24.213585       294
    H -0.500915       1
    Li -0.195702       1
    N -9.797528       118
    Na -0.174255       1
    O -15.905353       291
    P -6.454169       922
    S -10.093127       1126
    Si -3.752249       282
    BeH -1.556367 0.057841 0.079400 -13.528518 226
    C2H2 -12.457919 0.616077 0.642400 -16.518135 421452
    C2H4 -13.713486 0.869814 0.899000 -18.314755 3346530
    C2H6 -14.952030 1.106528 1.136900 -19.058990 10660003
    CH -6.045004 0.124083 0.133900 -6.160218 1872
    CH21A1 -6.693312 0.271476 0.288900 -10.933550 5231
    CH23B1 -6.719689 0.297853 0.304100 -3.920345 4908
    CH3 -7.400261 0.477510 0.490800 -8.339553 26089
    CH3Cl -22.453467 0.607016 0.631000 -15.050240 15279804
    CH4 -8.076058 0.652392 0.670300 -11.237459 240746
    CN -15.473830 0.256296 0.288800 -20.396634 307534
    CO -21.713154 0.387795 0.413700 -16.255639 220058
    CO2 -37.813665 0.582952 0.621400 -24.126272 10685733
    CS -15.764849 0.251716 0.274000 -13.983341 820828
    Cl2 -29.919364 0.071964 0.094000 -13.828005 3156929
    ClF -39.205454 0.068169 0.100100 -20.037087 651358
    ClO -30.900816 0.071763 0.104700 -20.668394 1296735
    F2 -48.446924 0.019754 0.062200 -26.635101 11952
    H2CO -22.894495 0.567305 0.596700 -18.445616 1357368
    H2O -17.252592 0.345408 0.371900 -16.623808 6136
    H2O2 -33.189337 0.376800 0.429400 -33.006901 3209365
    H2S -11.368755 0.273798 0.292000 -11.421902 25567
    H3COH -24.111642 0.782622 0.818700 -22.639454 16305839
    H3CSH -18.240701 0.723907 0.757000 -20.765895 14045275
    HCN -16.182131 0.463682 0.496900 -20.844565 389108
    HCO -22.244739 0.418464 0.444700 -16.463310 1449983
    HCl -15.586327 0.161712 0.171000 -5.828337 12311
    HF -24.920723 0.206223 0.226100 -12.472870 1645
    HOCl -31.558798 0.228829 0.264700 -22.509312 3157539
    Li2 -0.428740 0.037335 0.038900 -0.981967 20
    LiF -24.610269 0.200982 0.222000 -13.189002 3309
    LiH -0.780131 0.083514 0.092430 -5.595016 40
    N2 -19.913827 0.318770 0.364600 -28.758523 94334
    N2H4 -22.236209 0.637492 0.699600 -38.973422 12661156
    NH -10.417551 0.119108 0.133500 -9.031300 2294
    NH2 -11.066479 0.267120 0.290400 -14.608265 7349
    NH3 -11.743572 0.443298 0.475500 -20.207041 51847
    NO -25.910441 0.207560 0.244500 -23.180446 166433
    Na2 -0.381829 0.033319 0.026800 4.090576 42
    NaCl -15.245074 0.147118 0.157400 -6.451842 17678
    O2 -31.972406 0.161699 0.192400 -19.265204 262685
    OH -16.563117 0.156848 0.170200 -8.378547 2457
    P2 -13.062640 0.154302 0.186000 -19.890610 1508743
    PH2 -7.680727 0.224728 0.244000 -12.093475 29240
    PH3 -8.313051 0.356137 0.389000 -20.622042 131147
    S2 -20.329036 0.142783 0.164000 -13.313735 10826625
    SO -26.163354 0.164874 0.200700 -22.481123 2404537
    SO2 -42.224462 0.320629 0.414400 -58.842540 10814232
    Si2 -7.607564 0.103066 0.121000 -11.253977 661498
    Si2H6 -11.308470 0.798481 0.849000 -31.701140 15020870
    SiH21A1 -4.979344 0.225265 0.243000 -11.129170 6400
    SiH23B1 -4.951475 0.197395 0.210000 -7.909620 9059
    SiH3 -5.594545 0.339551 0.363000 -14.714664 57778
    SiH4 -6.242349 0.486439 0.515000 -17.922019 400063
    SiO -19.925622 0.268019 0.306700 -24.272418 226347
        17.07 -16.92 9.83  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.007952 0.000012 0.000000 0.000016       10
    C -5.429616 0.000033 0.000000 0.000047       154
    Cl -14.957911 0.000125 0.000000 0.000176       899
    F -24.189708 0.000075 0.000000 0.000106       294
    H -0.499984 0.000020 0.000000 0.000029       1
    Li -0.196348 0.000010 0.000000 0.000014       1
    N -9.794416 0.000037 0.000000 0.000052       118
    Na -0.182103 0.000035 0.000000 0.000050       1
    O -15.895865 0.000051 0.000000 0.000073       291
    P -6.471376 0.000041 0.000000 0.000059       922
    S -10.122606 0.000038 0.000000 0.000054       1126
    Si -3.764793 0.000031 0.000000 0.000044       282
    BeH -1.579250 0.000937 0.071314 0.000938 0.079400 -5.073920 0.588319 226
    C2H2 -12.495100 0.000288 0.635900 0.000299 0.642400 -4.078810 0.187395 421452
    C2H4 -13.747119 0.000376 0.887951 0.000390 0.899000 -6.933248 0.244737 3346530
    C2H6 -14.983968 0.000387 1.124832 0.000412 1.136900 -7.572876 0.258278 10660003
    CH -6.062427 0.000050 0.132827 0.000063 0.133900 -0.673247 0.039828 1872
    CH21A1 -6.716232 0.000080 0.286648 0.000095 0.288900 -1.413201 0.059843 5231
    CH23B1 -6.730644 0.000050 0.301060 0.000073 0.304100 -1.907457 0.045621 4908
    CH3 -7.416019 0.000097 0.486452 0.000119 0.490800 -2.728686 0.074912 26089
    CH3Cl -22.506947 0.000469 0.619468 0.000490 0.631000 -7.236181 0.307687 15279804
    CH4 -8.094626 0.000167 0.665074 0.000189 0.670300 -3.279230 0.118604 240746
    CN -15.506720 0.000166 0.282687 0.000173 0.288800 -3.835671 0.108781 307534
    CO -21.735455 0.000243 0.409974 0.000251 0.413700 -2.338246 0.157395 220058
    CO2 -37.832076 0.000396 0.610730 0.000411 0.621400 -6.695775 0.257696 10685733
    CS -15.817846 0.000198 0.265623 0.000204 0.274000 -5.256451 0.128007 820828
    Cl2 -30.001476 0.000279 0.085654 0.000374 0.094000 -5.236972 0.234638 3156929
    ClF -39.236680 0.000338 0.089061 0.000368 0.100100 -6.927034 0.230722 651358
    ClO -30.944753 0.000369 0.090977 0.000392 0.104700 -8.611150 0.246245 1296735
    F2 -48.432448 0.000286 0.053032 0.000323 0.062200 -5.753097 0.202704 11952
    H2CO -22.915252 0.000192 0.589803 0.000205 0.596700 -4.327743 0.128890 1357368
    H2O -17.256766 0.000110 0.360933 0.000128 0.371900 -6.881910 0.080388 6136
    H2O2 -33.200709 0.000311 0.409011 0.000330 0.429400 -12.794101 0.206847 3209365
    H2S -11.408516 0.000100 0.285942 0.000114 0.292000 -3.801350 0.071679 25567
    H3COH -24.129361 0.000463 0.803944 0.000474 0.818700 -9.259382 0.297326 16305839
    H3CSH -18.292741 0.000585 0.740583 0.000593 0.757000 -10.301775 0.372099 14045275
    HCN -16.216052 0.000231 0.492035 0.000237 0.496900 -3.052581 0.148532 389108
    HCO -22.261888 0.000225 0.436423 0.000234 0.444700 -5.193910 0.146899 1449983
    HCl -15.626549 0.000119 0.168654 0.000174 0.171000 -1.472062 0.108954 12311
    HF -24.905824 0.000099 0.216132 0.000126 0.226100 -6.255026 0.078940 1645
    HOCl -31.604341 0.000308 0.250581 0.000337 0.264700 -8.859634 0.211492 3157539
    Li2 -0.431398 0.000031 0.038703 0.000036 0.038900 -0.123788 0.022885 20
    LiF -24.603937 0.000137 0.217881 0.000157 0.222000 -2.584419 0.098261 3309
    LiH -0.788135 0.000087 0.091803 0.000090 0.092430 -0.393157 0.056186 40
    N2 -19.946437 0.000151 0.357604 0.000168 0.364600 -4.390231 0.105473 94334
    N2H4 -22.262196 0.000381 0.673428 0.000397 0.699600 -16.423183 0.248963 12661156
    NH -10.423223 0.000077 0.128822 0.000088 0.133500 -2.935192 0.054979 2294
    NH2 -11.078569 0.000103 0.284184 0.000117 0.290400 -3.900303 0.073179 7349
    NH3 -11.759048 0.000121 0.464680 0.000141 0.475500 -6.789571 0.088331 51847
    NO -25.925592 0.000208 0.235310 0.000218 0.244500 -5.766639 0.136562 166433
    Na2 -0.390904 0.000057 0.026697 0.000091 0.026800 -0.064714 0.056867 42
    NaCl -15.310258 0.002606 0.169527 0.002612 0.157400 7.609589 1.638873 17678
    O2 -31.973912 0.000191 0.182182 0.000216 0.192400 -6.411694 0.135831 262685
    OH -16.561089 0.000058 0.165240 0.000080 0.170200 -3.112470 0.050254 2457
    P2 -13.117472 0.000189 0.174720 0.000206 0.186000 -7.078404 0.129253 1508743
    PH2 -7.711387 0.000127 0.240043 0.000139 0.244000 -2.483052 0.087424 29240
    PH3 -8.348832 0.000143 0.377504 0.000161 0.389000 -7.213913 0.101076 131147
    S2 -20.397667 0.000319 0.152454 0.000328 0.164000 -7.244941 0.205832 10826625
    SO -26.203776 0.000374 0.185305 0.000380 0.200700 -9.660639 0.238324 2404537
    SO2 -42.288884 0.000689 0.374548 0.000698 0.414400 -25.007461 0.437763 10814232
    Si2 -7.643378 0.000110 0.113792 0.000126 0.121000 -4.522825 0.079298 661498
    Si2H6 -11.370504 0.000324 0.841015 0.000352 0.849000 -5.010801 0.221094 15020870
    SiH21A1 -5.006307 0.000137 0.241547 0.000147 0.243000 -0.912005 0.091954 6400
    SiH23B1 -4.974273 0.000090 0.209513 0.000104 0.210000 -0.305909 0.065277 9059
    SiH3 -5.623608 0.000133 0.358863 0.000150 0.363000 -2.595888 0.093884 57778
    SiH4 -6.276709 0.000144 0.511981 0.000169 0.515000 -1.894611 0.105885 400063
    SiO -19.958150 0.000200 0.297492 0.000209 0.306700 -5.778347 0.131036 226347
      5.42 0.29 -5.14 4.55 0.03      

2.5.7 \(\mu=2\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.999854       20
    C -5.413512       256
    Cl -14.901401       8768
    F -24.167662       1123
    H -0.499395       1
    Li -0.195618       1
    N -9.777229       266
    Na -0.174229       1
    O -15.870717       720
    P -6.447040       883
    S -10.077913       2158
    Si -3.749526       280
    BeH -1.554506 0.055256 0.079400 -15.150357 233
    C2H2 -12.433274 0.607460 0.642400 -21.924928 3536175
    C2H4 -13.683977 0.859374 0.899000 -24.865914 13804446
    C2H6 -14.914667 1.091274 1.136900 -28.630770 16695116
    CH -6.037897 0.124990 0.133900 -5.590831 4503
    CH21A1 -6.684705 0.272403 0.288900 -10.351722 17886
    CH23B1 -6.705455 0.293153 0.304100 -6.869315 26137
    CH3 -7.383862 0.472165 0.490800 -11.693713 112935
    CH3Cl -22.409537 0.596440 0.631000 -21.687030 14187344
    CH4 -8.058090 0.646999 0.670300 -14.621734 933450
    CN -15.449131 0.258390 0.288800 -19.082857 2523139
    CO -21.673981 0.389753 0.413700 -15.027166 1727262
    CO2 -37.729909 0.574964 0.621400 -29.139318 11725352
    CS -15.741053 0.249628 0.274000 -15.293519 2658739
    Cl2 -29.869270 0.066468 0.094000 -17.276448 12609257
    ClF -39.135766 0.066703 0.100100 -20.957172 8476468
    ClO -30.840649 0.068532 0.104700 -22.696037 10858948
    F2 -48.359393 0.024069 0.062200 -23.927351 829438
    H2CO -22.846626 0.563608 0.596700 -20.765489 11090595
    H2O -17.214580 0.345073 0.371900 -16.834113 56247
    H2O2 -33.116702 0.376479 0.429400 -33.208509 19069926
    H2S -11.348502 0.271799 0.292000 -12.676342 172622
    H3COH -24.054291 0.772483 0.818700 -29.001580 16136860
    H3CSH -18.200479 0.711474 0.757000 -28.567865 15981581
    HCN -16.152086 0.461950 0.496900 -21.931353 2869501
    HCO -22.198603 0.414979 0.444700 -18.650186 11562913
    HCl -15.561027 0.160232 0.171000 -6.757310 54420
    HF -24.873708 0.206651 0.226100 -12.204142 6415
    HOCl -31.496904 0.225391 0.264700 -24.666646 11555771
    Li2 -0.428808 0.037571 0.038900 -0.833690 20
    LiF -24.561304 0.198023 0.222000 -15.045700 13192
    LiH -0.779366 0.084353 0.092430 -5.068416 43
    N2 -19.879071 0.324613 0.364600 -25.092550 823923
    N2H4 -22.180728 0.628690 0.699600 -44.496999 13428368
    NH -10.395784 0.119159 0.133500 -8.998841 11091
    NH2 -11.042375 0.266355 0.290400 -15.088215 64006
    NH3 -11.716428 0.441014 0.475500 -21.640457 209417
    NO -25.857693 0.209747 0.244500 -21.807872 4653596
    Na2 -0.381589 0.033132 0.026800 3.973495 42
    NaCl -15.216563 0.140933 0.157400 -10.333019 51903
    O2 -31.902999 0.161566 0.192400 -19.348624 10629003
    OH -16.525977 0.155866 0.170200 -8.994886 7564
    P2 -13.041387 0.147306 0.186000 -24.280718 4322583
    PH2 -7.667888 0.222058 0.244000 -13.768674 65889
    PH3 -8.298346 0.353121 0.389000 -22.514734 591428
    S2 -20.289154 0.133327 0.164000 -19.247509 10738308
    SO -26.108987 0.160357 0.200700 -25.315359 11162959
    SO2 -42.129481 0.310134 0.414400 -65.427645 10412479
    Si2 -7.597935 0.098883 0.121000 -13.878746 2003423
    Si2H6 -11.283225 0.787804 0.849000 -38.401204 19555662
    SiH21A1 -4.973084 0.224768 0.243000 -11.440868 15271
    SiH23B1 -4.943786 0.195470 0.210000 -9.117502 43679
    SiH3 -5.584801 0.337090 0.363000 -16.258612 260800
    SiH4 -6.231119 0.484013 0.515000 -19.444443 1538523
    SiO -19.885505 0.265263 0.306700 -26.002210 1775195
        19.20 -19.05 10.91  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.006595 0.000022           20
    C -5.431906 0.000093           256
    Cl -14.961958 0.000401           8768
    F -24.194111 0.000300           1123
    H -0.500001 0.000005           1
    Li -0.196327 0.000003           1
    N -9.798247 0.000123           266
    Na -0.182031 0.000014           1
    O -15.901191 0.000224           720
    P -6.472694 0.000166           883
    S -10.124398 0.000232           2158
    Si -3.765019 0.000078           280
    BeH -1.578901 0.000071 0.072306 0.000075 0.079400 -4.451676 0.046990 233
    C2H2 -12.497788 0.000824 0.633975 0.000845 0.642400 -5.286650 0.530369 3536175
    C2H4 -13.749666 0.001750 0.885851 0.001760 0.899000 -8.250839 1.104670 13804446
    C2H6 -14.986264 0.001844 1.122449 0.001854 1.136900 -9.068419 1.163298 16695116
    CH -6.064139 0.000220 0.132232 0.000239 0.133900 -1.046559 0.149734 4503
    CH21A1 -6.716863 0.000386 0.284956 0.000397 0.288900 -2.475141 0.249249 17886
    CH23B1 -6.731490 0.000375 0.299583 0.000387 0.304100 -2.834312 0.242556 26137
    CH3 -7.415891 0.000622 0.483984 0.000629 0.490800 -4.277356 0.394564 112935
    CH3Cl -22.511612 0.002044 0.617747 0.002085 0.631000 -8.316552 1.308100 14187344
    CH4 -8.095004 0.000385 0.663096 0.000396 0.670300 -4.520816 0.248672 933450
    CN -15.513401 0.000697 0.283249 0.000714 0.288800 -3.483473 0.448137 2523139
    CO -21.741989 0.000808 0.408892 0.000844 0.413700 -3.017062 0.529316 1727262
    CO2 -37.838563 0.002474 0.604275 0.002516 0.621400 -10.745815 1.578520 11725352
    CS -15.821184 0.000835 0.264880 0.000872 0.274000 -5.722774 0.547105 2658739
    Cl2 -30.014456 0.001995 0.090541 0.002150 0.094000 -2.170680 1.349045 12609257
    ClF -39.243560 0.001936 0.087491 0.001999 0.100100 -7.912075 1.254574 8476468
    ClO -30.954676 0.001525 0.091528 0.001593 0.104700 -8.265845 0.999491 10858948
    F2 -48.441060 0.000725 0.052839 0.000941 0.062200 -5.874238 0.590791 829438
    H2CO -22.916965 0.001482 0.583867 0.001502 0.596700 -8.052762 0.942212 11090595
    H2O -17.259101 0.000741 0.357910 0.000775 0.371900 -8.779163 0.486042 56247
    H2O2 -33.204067 0.002796 0.401685 0.002831 0.429400 -17.391708 1.776731 19069926
    H2S -11.410534 0.000195 0.286135 0.000303 0.292000 -3.680234 0.190292 172622
    H3COH -24.132624 0.002133 0.799525 0.002147 0.818700 -12.032629 1.347382 16136860
    H3CSH -18.298936 0.002118 0.742630 0.002133 0.757000 -9.017169 1.338446 15981581
    HCN -16.220587 0.000843 0.490434 0.000857 0.496900 -4.057275 0.537619 2869501
    HCO -22.267292 0.001637 0.434195 0.001655 0.444700 -6.591982 1.038261 11562913
    HCl -15.629973 0.000818 0.168015 0.000911 0.171000 -1.873090 0.571667 54420
    HF -24.910279 0.000519 0.216168 0.000600 0.226100 -6.232372 0.376339 6415
    HOCl -31.613092 0.002201 0.249943 0.002248 0.264700 -9.260126 1.410753 11555771
    Li2 -0.431190 0.000014 0.038535 0.000015 0.038900 -0.229050 0.009272 20
    LiF -24.608427 0.000670 0.217989 0.000735 0.222000 -2.516888 0.460954 13192
    LiH -0.788722 0.000024 0.092394 0.000025 0.092430 -0.022762 0.015673 43
    N2 -19.952444 0.000503 0.355951 0.000560 0.364600 -5.427264 0.351126 823923
    N2H4 -22.269791 0.002112 0.673296 0.002126 0.699600 -16.506001 1.334261 13428368
    NH -10.426399 0.000367 0.128152 0.000387 0.133500 -3.355986 0.242715 11091
    NH2 -11.080973 0.000650 0.282725 0.000662 0.290400 -4.816134 0.415426 64006
    NH3 -11.760498 0.000201 0.462250 0.000236 0.475500 -8.314473 0.148102 209417
    NO -25.934225 0.000944 0.234787 0.000978 0.244500 -6.094796 0.613971 4653596
    Na2 -0.390447 0.000033 0.026385 0.000043 0.026800 -0.260328 0.027142 42
    NaCl -15.304223 0.001254 0.160234 0.001316 0.157400 1.778302 0.825953 51903
    O2 -31.982676 0.002096 0.180295 0.002144 0.192400 -7.596298 1.345131 10629003
    OH -16.565295 0.000419 0.164104 0.000476 0.170200 -3.825607 0.298383 7564
    P2 -13.121053 0.000916 0.175666 0.000974 0.186000 -6.484957 0.611206 4322583
    PH2 -7.712194 0.000504 0.239499 0.000531 0.244000 -2.824522 0.332993 65889
    PH3 -8.349444 0.000338 0.376748 0.000377 0.389000 -7.687997 0.236672 591428
    S2 -20.400460 0.001613 0.151664 0.001679 0.164000 -7.740877 1.053356 10738308
    SO -26.209236 0.001486 0.183648 0.001520 0.200700 -10.700392 0.953964 11162959
    SO2 -42.298196 0.002883 0.371416 0.002927 0.414400 -26.972684 1.836681 10412479
    Si2 -7.644812 0.000467 0.114774 0.000492 0.121000 -3.906972 0.308686 2003423
    Si2H6 -11.372059 0.002008 0.842017 0.002014 0.849000 -4.381877 1.263767 19555662
    SiH21A1 -5.006767 0.000368 0.241747 0.000376 0.243000 -0.786424 0.236112 15271
    SiH23B1 -4.974273 0.000427 0.209253 0.000434 0.210000 -0.468768 0.272411 43679
    SiH3 -5.623306 0.000662 0.358286 0.000667 0.363000 -2.958344 0.418358 260800
    SiH4 -6.277594 0.000436 0.512572 0.000443 0.515000 -1.523325 0.278234 1538523
    SiO -19.961945 0.000824 0.295735 0.000858 0.306700 -6.880821 0.538188 1775195
      5.98 0.83 -5.91 4.79 0.71      

2.5.8 \(\mu=5\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -1.000376       20
    C -5.410380       263
    Cl -14.881046       6494
    F -24.111984       2062
    H -0.499061       1
    Li -0.195612       1
    N -9.763552       541
    Na -0.174227       1
    O -15.839365       2128
    P -6.443065       887
    S -10.067504       4574
    Si -3.748107       278
    BeH -1.553839 0.054402 0.079400 -15.686777 233
    C2H2 -12.412686 0.593804 0.642400 -30.494351 6437284
    C2H4 -13.660002 0.842998 0.899000 -35.141559 10042908
    C2H6 -14.886209 1.071084 1.136900 -41.300048 15548822
    CH -6.032511 0.123070 0.133900 -6.795753 4563
    CH21A1 -6.677066 0.268564 0.288900 -12.760815 33173
    CH23B1 -6.696022 0.287520 0.304100 -10.404092 32666
    CH3 -7.371993 0.464431 0.490800 -16.547001 164563
    CH3Cl -22.373709 0.585101 0.631000 -28.802093 14867432
    CH4 -8.044466 0.637844 0.670300 -20.366729 1872343
    CN -15.427312 0.253380 0.288800 -22.226397 4111066
    CO -21.633999 0.384253 0.413700 -18.478174 3069921
    CO2 -37.647268 0.558157 0.621400 -39.685566 10668509
    CS -15.721648 0.243764 0.274000 -18.973595 4545205
    Cl2 -29.825298 0.063206 0.094000 -19.323669 10038408
    ClF -39.059718 0.066688 0.100100 -20.966267 12928114
    ClO -30.786196 0.065784 0.104700 -24.420007 12144026
    F2 -48.257292 0.033324 0.062200 -18.120087 5326459
    H2CO -22.801548 0.553681 0.596700 -26.994596 11136605
    H2O -17.177034 0.339547 0.371900 -20.301762 109105
    H2O2 -33.047087 0.370234 0.429400 -37.127006 10985101
    H2S -11.332958 0.267332 0.292000 -15.479475 256788
    H3COH -24.003383 0.757394 0.818700 -38.469859 17678584
    H3CSH -18.170900 0.696772 0.757000 -37.793392 16397010
    HCN -16.125520 0.452528 0.496900 -27.844052 5180719
    HCO -22.155268 0.406462 0.444700 -23.994747 12216859
    HCl -15.538103 0.157996 0.171000 -8.160063 97332
    HF -24.815328 0.204283 0.226100 -13.690103 27889
    HOCl -31.440622 0.221149 0.264700 -27.328400 17238463
    Li2 -0.428786 0.037563 0.038900 -0.839265 20
    LiF -24.503400 0.195804 0.222000 -16.438369 28554
    LiH -0.779351 0.084679 0.092430 -4.863917 42
    N2 -19.846393 0.319289 0.364600 -28.432826 1768856
    N2H4 -22.135439 0.612093 0.699600 -54.911647 14198240
    NH -10.379644 0.117031 0.133500 -10.334275 33361
    NH2 -11.022778 0.261105 0.290400 -18.383085 67055
    NH3 -11.693534 0.432800 0.475500 -26.794430 456987
    NO -25.809084 0.206166 0.244500 -24.054658 10368223
    Na2 -0.381508 0.033055 0.026800 3.925029 42
    NaCl -15.192222 0.136949 0.157400 -12.833239 80657
    O2 -31.836437 0.157706 0.192400 -21.770559 11523007
    OH -16.492159 0.153733 0.170200 -10.333023 30153
    P2 -13.027028 0.140898 0.186000 -28.301836 6278737
    PH2 -7.659955 0.218769 0.244000 -15.832824 118456
    PH3 -8.288560 0.348313 0.389000 -25.531647 606056
    S2 -20.260869 0.125860 0.164000 -23.933039 11723081
    SO -26.061106 0.154236 0.200700 -29.156347 10576126
    SO2 -42.040831 0.294596 0.414400 -75.178079 10602735
    Si2 -7.592499 0.096285 0.121000 -15.508628 2061669
    Si2H6 -11.267397 0.776820 0.849000 -45.293883 12297841
    SiH21A1 -4.969493 0.223265 0.243000 -12.383783 32755
    SiH23B1 -4.939612 0.193384 0.210000 -10.426548 26983
    SiH3 -5.579336 0.334047 0.363000 -18.168153 418101
    SiH4 -6.224826 0.480476 0.515000 -21.664076 3474506
    SiO -19.849364 0.261891 0.306700 -28.117864 4210107
        22.93 -22.79 13.24  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Na -0.182031 0.000014           20
    Li -0.196327 0.000003           263
    Be -1.006664 0.000023           6494
    C -5.431907 0.000095           2062
    F -24.194681 0.000375           1
    H -0.500001 0.000005           1
    O -15.900981 0.000287           541
    N -9.798393 0.000165           1
    P -6.472602 0.000169           2128
    Si -3.765070 0.000086           887
    Cl -14.961838 0.000389           4574
    S -10.124174 0.000246           278
    BeH -1.578740 0.000073 0.072075 0.000077 0.079400 -4.596315 0.048049 233
    C2H2 -12.495567 0.000935 0.631751 0.000955 0.642400 -6.682460 0.599080 6437284
    C2H4 -13.747247 0.001348 0.883430 0.001362 0.899000 -9.770419 0.854619 10042908
    C2H6 -14.983154 0.001875 1.119336 0.001885 1.136900 -11.021494 1.182746 15548822
    CH -6.063608 0.000221 0.131700 0.000241 0.133900 -1.380442 0.151133 4563
    CH21A1 -6.716850 0.000513 0.284942 0.000522 0.288900 -2.483772 0.327298 33173
    CH23B1 -6.731493 0.000407 0.299585 0.000418 0.304100 -2.833394 0.262557 32666
    CH3 -7.415403 0.000733 0.483494 0.000739 0.490800 -4.584446 0.463978 164563
    CH3Cl -22.512288 0.002038 0.618541 0.002077 0.631000 -7.818214 1.303594 14867432
    CH4 -8.094119 0.000507 0.662210 0.000517 0.670300 -5.076674 0.324265 1872343
    CN -15.511895 0.000794 0.281595 0.000817 0.288800 -4.521172 0.512399 4111066
    CO -21.740734 0.000859 0.407845 0.000910 0.413700 -3.673902 0.571331 3069921
    CO2 -37.835298 0.002356 0.601428 0.002427 0.621400 -12.532638 1.522941 10668509
    CS -15.822427 0.001073 0.266345 0.001105 0.274000 -4.803354 0.693625 4545205
    Cl2 -30.012216 0.001912 0.088540 0.002064 0.094000 -3.426197 1.295187 10038408
    ClF -39.245174 0.002160 0.088654 0.002227 0.100100 -7.182356 1.397462 12928114
    ClO -30.954136 0.001757 0.091317 0.001822 0.104700 -8.398101 1.143378 12144026
    F2 -48.445320 0.002051 0.055957 0.002184 0.062200 -3.917423 1.370273 5326459
    H2CO -22.916768 0.001622 0.583878 0.001650 0.596700 -8.045842 1.035418 11136605
    H2O -17.258077 0.000196 0.357095 0.000348 0.371900 -9.290509 0.218178 109105
    H2O2 -33.210332 0.002973 0.408368 0.003028 0.429400 -13.197551 1.900072 10985101
    H2S -11.410339 0.000216 0.286164 0.000328 0.292000 -3.662245 0.205664 256788
    H3COH -24.130840 0.000815 0.797949 0.000869 0.818700 -13.021543 0.545607 17678584
    H3CSH -18.297173 0.002210 0.741090 0.002226 0.757000 -9.983954 1.396599 16397010
    HCN -16.219231 0.001067 0.488930 0.001084 0.496900 -5.001235 0.680359 5180719
    HCO -22.263419 0.001572 0.430530 0.001601 0.444700 -8.891761 1.004345 12216859
    HCl -15.630285 0.000882 0.168446 0.000964 0.171000 -1.602747 0.605229 97332
    HF -24.908712 0.000747 0.214030 0.000835 0.226100 -7.574232 0.524267 27889
    HOCl -31.616639 0.002357 0.253819 0.002406 0.264700 -6.827851 1.509663 17238463
    Li2 -0.431197 0.000014 0.038543 0.000015 0.038900 -0.224216 0.009263 20
    LiF -24.607924 0.000805 0.216915 0.000888 0.222000 -3.190759 0.557103 28554
    LiH -0.788570 0.000027 0.092242 0.000028 0.092430 -0.117848 0.017467 42
    N2 -19.949524 0.000705 0.352738 0.000778 0.364600 -7.443594 0.488192 1768856
    N2H4 -22.264424 0.000801 0.667636 0.000867 0.699600 -20.057903 0.543954 14198240
    NH -10.425639 0.000387 0.127246 0.000421 0.133500 -3.924735 0.264033 33361
    NH2 -11.079829 0.000701 0.281434 0.000720 0.290400 -5.625967 0.451810 67055
    NH3 -11.758725 0.000294 0.460330 0.000337 0.475500 -9.519450 0.211690 456987
    NO -25.931221 0.001273 0.231847 0.001315 0.244500 -7.940176 0.825427 10368223
    Na2 -0.390449 0.000037 0.026388 0.000046 0.026800 -0.258761 0.029155 42
    NaCl -15.303432 0.001280 0.159563 0.001338 0.157400 1.357367 0.839496 80657
    O2 -31.985779 0.001232 0.183816 0.001359 0.192400 -5.386395 0.852844 11523007
    OH -16.565232 0.000569 0.164250 0.000637 0.170200 -3.733473 0.399660 30153
    P2 -13.120376 0.001124 0.175172 0.001174 0.186000 -6.794374 0.736836 6278737
    PH2 -7.711953 0.000628 0.239350 0.000651 0.244000 -2.918033 0.408342 118456
    PH3 -8.349229 0.000333 0.376626 0.000374 0.389000 -7.764844 0.234377 606056
    S2 -20.403220 0.001615 0.154872 0.001689 0.164000 -5.727888 1.059555 11723081
    SO -26.208035 0.001912 0.182880 0.001949 0.200700 -11.182322 1.223248 10576126
    SO2 -42.298542 0.003073 0.372405 0.003136 0.414400 -26.352288 1.967774 10602735
    Si2 -7.645622 0.000477 0.115481 0.000507 0.121000 -3.463014 0.318418 2061669
    Si2H6 -11.372804 0.001734 0.842660 0.001743 0.849000 -3.978605 1.093720 12297841
    SiH21A1 -5.007868 0.000444 0.242796 0.000453 0.243000 -0.127880 0.284098 32755
    SiH23B1 -4.974600 0.000423 0.209528 0.000432 0.210000 -0.295994 0.270890 26983
    SiH3 -5.623635 0.000182 0.358563 0.000202 0.363000 -2.784482 0.126517 418101
    SiH4 -6.277334 0.000611 0.512261 0.000617 0.515000 -1.718715 0.387297 3474506
    SiO -19.963125 0.001051 0.297073 0.001093 0.306700 -6.040980 0.685650 4210107
      6.18 0.84 -6.13 4.87 0.55      

2.5.9 FCI

  1. CIPSI
      Total E   Delta E   Reference Error  
      Hartree   Hartree   Hartree kcal/mol  
      ecal aecal aenr aediff Ndet    
    Be -1.000525 0.000000 0.000000 0.000000      
    C -5.409599 0.000005 0.000000 0.000008      
    Cl -14.874672 0.000003 0.000000 0.000004      
    F -24.092714 0.000002 0.000000 0.000003      
    H -0.499045 0.000000   0.000000      
    Li -0.195611 0.000000   0.000000      
    N -9.760495 0.000004 0.000000 0.000006      
    Na -0.174227 0.000000   0.000000      
    O -15.830021 0.000005 0.000000 0.000007      
    P -6.442099 0.000004 0.000000 0.000006      
    S -10.064311 0.000002 0.000000 0.000002      
    Si -3.747833 0.000004 0.000000 0.000005      
    BeH -1.553657 0.000020 0.054087 0.000020 0.079400 -15.884299 0.012745
    C2H2 -12.406315 0.000001 0.589027 0.000011 0.642400 -33.492129 0.006743
    C2H4 -13.654309 0.000006 0.838930 0.000012 0.899000 -37.694551 0.007803
    C2H6 -14.883546 0.000042 1.070077 0.000043 1.136900 -41.932051 0.027188
    CH -6.030934 0.000018 0.122290 0.000018 0.133900 -7.285247 0.011601
    CH21A1 -6.674394 0.000001 0.266704 0.000005 0.288900 -13.927911 0.003396
    CH23B1 -6.693528 0.000006 0.285839 0.000008 0.304100 -11.459136 0.005163
    CH3 -7.368566 0.000005 0.461832 0.000007 0.490800 -18.177798 0.004427
    CH3Cl -22.365840 0.000001 0.584434 0.000006 0.631000 -29.220712 0.003816
    CH4 -8.040305 0.000000 0.634525 0.000005 0.670300 -22.449252 0.003365
    CN -15.420598 0.000003 0.250504 0.000007 0.288800 -24.031255 0.004544
    CO -21.620628 0.000002 0.381008 0.000008 0.413700 -20.514513 0.004735
    CO2 -37.628607 0.000059 0.558965 0.000060 0.621400 -39.178355 0.037402
    CS -15.715859 0.000007 0.241949 0.000009 0.274000 -20.112329 0.005672
    Cl2 -29.813093 0.000027 0.063750 0.000028 0.094000 -18.982410 0.017322
    ClF -39.034069 0.000003 0.066683 0.000005 0.100100 -20.969596 0.003000
    ClO -30.770680 0.000045 0.065986 0.000045 0.104700 -24.293159 0.028395
    F2 -48.220437 0.000013 0.035009 0.000014 0.062200 -17.062405 0.008592
    H2CO -22.787835 0.000007 0.550124 0.000010 0.596700 -29.226623 0.006371
    H2O -17.164687 0.000002 0.336575 0.000005 0.371900 -22.166891 0.003427
    H2O2 -33.028440 0.000005 0.370306 0.000011 0.429400 -37.081794 0.007070
    H2S -11.328294 0.000005 0.265892 0.000005 0.292000 -16.382937 0.003348
    H3COH -23.991233 0.000031 0.755432 0.000032 0.818700 -39.701171 0.019791
    H3CSH -18.167969 0.000012 0.697878 0.000013 0.757000 -37.099583 0.008264
    HCN -16.117018 0.000010 0.447879 0.000012 0.496900 -30.761212 0.007333
    HCO -22.143045 0.000045 0.404380 0.000045 0.444700 -25.301260 0.028375
    HCl -15.530706 0.000002 0.156989 0.000004 0.171000 -8.791842 0.002203
    HF -24.794339 0.000004 0.202580 0.000004 0.226100 -14.759161 0.002800
    HOCl -31.423913 0.000024 0.220175 0.000024 0.264700 -27.940178 0.015246
    Li2 -0.429044 0.000060 0.037821 0.000060 0.038900 -0.676813 0.037575
    LiF -24.483187 0.000002 0.194861 0.000003 0.222000 -17.029906 0.001685
    LiH -0.779445 0.000017 0.084788 0.000017 0.092430 -4.795199 0.010737
    N2 -19.835407 0.000003 0.314416 0.000009 0.364600 -31.491175 0.005555
    N2H4 -22.128406 0.000214 0.611234 0.000214 0.699600 -55.450386 0.134476
    NH -10.374951 0.000002 0.115411 0.000005 0.133500 -11.351160 0.002996
    NH2 -11.017001 0.000005 0.258415 0.000006 0.290400 -20.070801 0.004039
    NH3 -11.686444 0.000000 0.428812 0.000004 0.475500 -29.296879 0.002613
    NO -25.793826 0.000129 0.203309 0.000129 0.244500 -25.847639 0.080893
    Na2 -0.381534 0.000022 0.033081 0.000022 0.026800 3.941120 0.013579
    NaCl -15.184794 0.000001 0.135896 0.000003 0.157400 -13.493887 0.001872
    O2 -31.816772 0.000121 0.156729 0.000121 0.192400 -22.383702 0.076130
    OH -16.481149 0.000002 0.152082 0.000005 0.170200 -11.369113 0.003281
    P2 -13.023495 0.000001 0.139297 0.000008 0.186000 -29.306650 0.005094
    PH2 -7.657876 0.000002 0.217687 0.000004 0.244000 -16.511897 0.002734
    PH3 -8.286027 0.000000 0.346793 0.000004 0.389000 -26.485578 0.002548
    S2 -20.256068 0.000060 0.127446 0.000060 0.164000 -22.938239 0.037658
    SO -26.048352 0.000018 0.154020 0.000018 0.200700 -29.292418 0.011468
    SO2 -42.028516 0.000227 0.304162 0.000227 0.414400 -69.175360 0.142590
    Si2 -7.591467 0.000007 0.095801 0.000010 0.121000 -15.812907 0.006403
    Si2H6 -11.270422 0.000246 0.780484 0.000246 0.849000 -42.994362 0.154309
    SiH21A1 -4.968425 0.000005 0.222501 0.000006 0.243000 -12.863146 0.003838
    SiH23B1 -4.938797 0.000006 0.192874 0.000007 0.210000 -10.746899 0.004274
    SiH3 -5.578078 0.000000 0.333109 0.000004 0.363000 -18.756914 0.002380
    SiH4 -6.222956 0.000004 0.478942 0.000006 0.515000 -22.626643 0.003517
    SiO -19.838066 0.000008 0.260212 0.000010 0.306700 -29.171779 0.006358
      23.63 0.04 -23.49 12.81 0.04    
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.007625 0.000014 0.000000 0.000020       21
    C -5.431715 0.000065 0.000000 0.000092       267
    Cl -14.962307 0.000256 0.000000 0.000362       10252
    F -24.193487 0.000257 0.000000 0.000363       4775
    H -0.499996 0.000007 0.000000 0.000010       1
    Li -0.196329 0.000004 0.000000 0.000006       1
    N -9.798226 0.000105 0.000000 0.000149       538
    Na -0.182136 0.000008 0.000000 0.000011       1
    O -15.900621 0.000176 0.000000 0.000249       2191
    P -6.472697 0.000089 0.000000 0.000126       940
    S -10.124922 0.000191 0.000000 0.000271       5694
    Si -3.765137 0.000063 0.000000 0.000089       467
    BeH -1.579924 0.000058 0.072304 0.000060 0.079400 -4.452718 0.037652 224
    C2H2 -12.491177 0.001978 0.627755 0.001982 0.642400 -9.189949 1.243661 6379033
    C2H4 -13.747858 0.002165 0.884445 0.002169 0.899000 -9.133250 1.360919 10591776
    C2H6 -14.980890 0.002993 1.117486 0.002996 1.136900 -12.182781 1.880250 17334909
    CH -6.063309 0.000142 0.131598 0.000156 0.133900 -1.444348 0.098110 4424
    CH21A1 -6.715937 0.000274 0.284230 0.000282 0.288900 -2.930337 0.176733 33542
    CH23B1 -6.730926 0.000247 0.299220 0.000256 0.304100 -3.062465 0.160633 30834
    CH3 -7.415930 0.000433 0.484228 0.000439 0.490800 -4.124162 0.275260 166447
    CH3Cl -22.511728 0.003261 0.617719 0.003272 0.631000 -8.333880 2.053169 15590288
    CH4 -8.092352 0.001733 0.660654 0.001735 0.670300 -6.052881 1.088669 3122549
    CN -15.511536 0.001716 0.281595 0.001721 0.288800 -4.521091 1.079775 4176099
    CO -21.740502 0.002046 0.408166 0.002055 0.413700 -3.472682 1.289362 3213703
    CO2 -37.838828 0.001777 0.605871 0.001812 0.621400 -9.744893 1.137305 14178168
    CS -15.809393 0.002280 0.252755 0.002289 0.274000 -13.331407 1.436248 4718077
    Cl2 -30.006770 0.001417 0.082156 0.001507 0.094000 -7.432073 0.945753 12989304
    ClF -39.247103 0.001471 0.091309 0.001515 0.100100 -5.516449 0.950520 12655275
    ClO -30.948491 0.002849 0.085563 0.002866 0.104700 -12.008590 1.798595 10324859
    F2 -48.437580 0.002788 0.050606 0.002835 0.062200 -7.275352 1.779096 8302442
    H2CO -22.914591 0.002667 0.582263 0.002674 0.596700 -9.059348 1.677865 10264703
    H2O -17.257153 0.000554 0.356541 0.000582 0.371900 -9.637832 0.365219 99885
    H2O2 -33.210861 0.001813 0.409628 0.001847 0.429400 -12.406998 1.158935 10320031
    H2S -11.410576 0.000694 0.285663 0.000720 0.292000 -3.976713 0.451833 259286
    H3COH -24.133288 0.001467 0.800970 0.001480 0.818700 -11.126046 0.928505 16358119
    H3CSH -18.293307 0.003131 0.736687 0.003138 0.757000 -12.746473 1.969176 18413076
    HCN -16.216313 0.002143 0.486376 0.002146 0.496900 -6.603748 1.346757 8167342
    HCO -22.262328 0.002545 0.429996 0.002552 0.444700 -9.226696 1.601523 12334847
    HCl -15.630053 0.000503 0.167751 0.000564 0.171000 -2.039062 0.354034 152328
    HF -24.908111 0.000426 0.214628 0.000498 0.226100 -7.198764 0.312367 49030
    HOCl -31.608392 0.001374 0.245468 0.001409 0.264700 -12.068155 0.883968 10067128
    Li2 -0.431300 0.000009 0.038642 0.000012 0.038900 -0.162060 0.007643 10
    LiF -24.606552 0.000507 0.216736 0.000568 0.222000 -3.303261 0.356414 51591
    LiH -0.788098 0.000017 0.091774 0.000019 0.092430 -0.411737 0.011790 22
    N2 -19.949099 0.001829 0.352648 0.001841 0.364600 -7.499767 1.155305 2993655
    N2H4 -22.254991 0.001486 0.658557 0.001501 0.699600 -25.754667 0.941605 13236879
    NH -10.425927 0.000232 0.127706 0.000255 0.133500 -3.635724 0.159726 11288
    NH2 -11.079579 0.000445 0.281362 0.000457 0.290400 -5.671417 0.286744 128829
    NH3 -11.758534 0.000858 0.460322 0.000865 0.475500 -9.524365 0.542585 913595
    NO -25.925608 0.002478 0.226761 0.002487 0.244500 -11.131121 1.560528 10184650
    Na2 -0.390694 0.000021 0.026422 0.000027 0.026800 -0.237078 0.016780 10
    NaCl -15.300352 0.001292 0.155910 0.001317 0.157400 -0.935284 0.826560 102321
    O2 -31.978613 0.002212 0.177370 0.002240 0.192400 -9.431204 1.405783 10258769
    OH -16.563942 0.000322 0.163325 0.000367 0.170200 -4.313827 0.230286 31287
    P2 -13.109626 0.002003 0.164231 0.002011 0.186000 -13.660387 1.262016 6057350
    PH2 -7.712455 0.000403 0.239766 0.000413 0.244000 -2.656750 0.259404 199003
    PH3 -8.350324 0.000878 0.377640 0.000883 0.389000 -7.128757 0.553934 830507
    S2 -20.401043 0.002564 0.151199 0.002593 0.164000 -8.032937 1.626850 10271330
    SO -26.212229 0.002411 0.186686 0.002425 0.200700 -8.794218 1.521950 10836590
    SO2 -42.290926 0.002157 0.364762 0.002194 0.414400 -31.148522 1.377029 10425047
    Si2 -7.640979 0.000961 0.110705 0.000969 0.121000 -6.460521 0.608056 2113836
    Si2H6 -11.365871 0.002677 0.835623 0.002680 0.849000 -8.394027 1.681992 13174386
    SiH21A1 -5.006581 0.000257 0.241453 0.000265 0.243000 -0.970756 0.166341  
    SiH23B1 -4.974331 0.000249 0.209203 0.000258 0.210000 -0.499925 0.161639  
    SiH3 -5.624316 0.000625 0.359192 0.000629 0.363000 -2.389674 0.394463 435225
    SiH4 -6.276132 0.001187 0.511013 0.001189 0.515000 -2.502072 0.746197 2954175
    SiO -19.954964 0.002217 0.289206 0.002225 0.306700 -10.977712 1.396411 4457124
      7.38 1.08 -7.38 5.67 0.68      

2.5.10 Optimal mu

  1. DMC
      Total E   Delta E   Reference Error  
      Hartree   Hartree   Hartree kcal/mol  
    Be -1.007961 0.000022 0.000000 0.000031      
    C -5.432014 0.000206 0.000000 0.000291      
    Cl -14.962307 0.000512 0.000000 0.000724      
    F -24.194931 0.000739 0.000000 0.001045      
    H -0.500031 0.000036 0.000000 0.000051      
    Li -0.196348 0.000020 0.000000 0.000028      
    N -9.798642 0.000312 0.000000 0.000441      
    Na -0.182144 0.000028 0.000000 0.000039      
    O -15.901711 0.000538 0.000000 0.000761      
    P -6.472749 0.000369 0.000000 0.000522      
    S -10.124922 0.000382 0.000000 0.000540      
    Si -3.765137 0.000126 0.000000 0.000178      
    BeH -1.580516 0.000407 0.072524 0.000409 0.079400 -4.314947 0.256635
    C2H2 -12.497801 0.001694 0.633712 0.001745 0.642400 -5.451619 1.094747
    C2H4 -13.749665 0.003523 0.885514 0.003550 0.899000 -8.462788 2.227753
    C2H6 -14.986262 0.003724 1.122049 0.003753 1.136900 -9.319339 2.355190
    CH -6.064142 0.000457 0.132097 0.000503 0.133900 -1.131338 0.315606
    CH21A1 -6.716895 0.001010 0.284820 0.001033 0.288900 -2.560366 0.648276
    CH23B1 -6.731543 0.000876 0.299468 0.000903 0.304100 -2.906815 0.566781
    CH3 -7.416230 0.000531 0.484123 0.000580 0.490800 -4.189759 0.363707
    CH3Cl -22.512392 0.004245 0.617978 0.004282 0.631000 -8.171121 2.686994
    CH4 -8.095023 0.000712 0.662886 0.000755 0.670300 -4.652422 0.473859
    CN -15.513658 0.001488 0.283003 0.001534 0.288800 -3.637926 0.962760
    CO -21.742290 0.001696 0.408566 0.001792 0.413700 -3.221762 1.124209
    CO2 -37.838828 0.003554 0.603393 0.003719 0.621400 -11.299761 2.333710
    CS -15.822821 0.002003 0.265885 0.002050 0.274000 -5.091993 1.286195
    Cl2 -30.015282 0.004435 0.090668 0.004552 0.094000 -2.090801 2.856122
    ClF -39.247103 0.002942 0.089865 0.003076 0.100100 -6.422439 1.930442
    ClO -30.955721 0.003402 0.091703 0.003482 0.104700 -8.155936 2.184944
    F2 -48.445326 0.004050 0.055464 0.004311 0.062200 -4.226845 2.705490
    H2CO -22.917150 0.003311 0.583364 0.003361 0.596700 -8.368473 2.109226
    H2O -17.259143 0.001461 0.357370 0.001559 0.371900 -9.117846 0.978175
    H2O2 -33.212019 0.004670 0.408535 0.004793 0.429400 -13.092808 3.007386
    H2S -11.410615 0.000390 0.285631 0.000551 0.292000 -3.996862 0.345646
    H3COH -24.133288 0.002934 0.799440 0.002993 0.818700 -12.086094 1.878439
    H3CSH -18.299331 0.004557 0.742272 0.004580 0.757000 -9.242030 2.873786
    HCN -16.220753 0.001826 0.490066 0.001864 0.496900 -4.288152 1.169733
    HCO -22.267303 0.003310 0.433548 0.003360 0.444700 -6.997992 2.108374
    HCl -15.630371 0.001893 0.168033 0.001961 0.171000 -1.861759 1.230832
    HF -24.910464 0.001192 0.215502 0.001403 0.226100 -6.650163 0.880384
    HOCl -31.616696 0.004825 0.252648 0.004882 0.264700 -7.563064 3.063237
    Li2 -0.431467 0.000036 0.038771 0.000054 0.038900 -0.081074 0.033797
    LiF -24.608829 0.001551 0.217551 0.001718 0.222000 -2.792043 1.078202
    LiH -0.788766 0.000031 0.092387 0.000051 0.092430 -0.027234 0.032164
    N2 -19.952486 0.001049 0.355202 0.001220 0.364600 -5.897402 0.765867
    N2H4 -22.269902 0.004249 0.672494 0.004297 0.699600 -17.009600 2.696656
    NH -10.426484 0.000798 0.127811 0.000857 0.133500 -3.570030 0.537873
    NH2 -11.080989 0.001362 0.282285 0.001399 0.290400 -5.092432 0.877951
    NH3 -11.760519 0.000387 0.461784 0.000509 0.475500 -8.606864 0.319341
    NO -25.934535 0.002075 0.234182 0.002166 0.244500 -6.474585 1.359089
    Na2 -0.391131 0.000182 0.026842 0.000190 0.026800 0.026606 0.119431
    NaCl -15.311160 0.005178 0.166709 0.005204 0.157400 5.841616 3.265410
    O2 -31.985878 0.002795 0.182456 0.002995 0.192400 -6.239834 1.879206
    OH -16.565762 0.001070 0.164020 0.001198 0.170200 -3.878012 0.751604
    P2 -13.121588 0.002097 0.176091 0.002223 0.186000 -6.218310 1.395126
    PH2 -7.712455 0.000806 0.239644 0.000890 0.244000 -2.733308 0.558170
    PH3 -8.350324 0.001756 0.377482 0.001798 0.389000 -7.227535 1.128051
    S2 -20.403404 0.003266 0.153560 0.003354 0.164000 -6.551142 2.104834
    SO -26.212229 0.004822 0.185596 0.004867 0.200700 -9.477848 3.054048
    SO2 -42.299895 0.006613 0.371551 0.006711 0.414400 -26.888239 4.211229
    Si2 -7.645723 0.000950 0.115449 0.000983 0.121000 -3.483371 0.616780
    Si2H6 -11.373081 0.003867 0.842621 0.003881 0.849000 -4.002573 2.435465
    SiH21A1 -5.007910 0.000865 0.242711 0.000877 0.243000 -0.181413 0.550475
    SiH23B1 -4.974640 0.000755 0.209441 0.000769 0.210000 -0.350464 0.482646
    SiH3 -5.624316 0.001250 0.359086 0.001261 0.363000 -2.456074 0.791270
    SiH4 -6.277692 0.000996 0.512431 0.001014 0.515000 -1.612261 0.636414
    SiO -19.963415 0.001961 0.296567 0.002038 0.306700 -6.358308 1.278744
      5.85 1.75 -5.63 4.79 1.11    

2.6 VTZ-BFD

2.6.1 CCSD(T)

  ecal aecal aenr aediff
  Hartree Hartree Hartree kcal/mol
Be -1.008436      
C -5.427472      
Cl -14.945398      
F -24.163293      
H -0.499043      
Li -0.196093      
N -9.790590      
Na -0.181799      
O -15.882204      
P -6.468767      
S -10.115047      
Si -3.762765      
BeH -1.581711 0.074232 0.079400 -3.242985
C2H2 -12.478674 0.625645 0.642400 -10.513868
C2H4 -13.727519 0.876404 0.899000 -14.179031
C2H6 -14.960797 1.111596 1.136900 -15.878341
CH -6.056141 0.129627 0.133900 -2.681602
CH21A1 -6.705994 0.280436 0.288900 -5.311028
CH23B1 -6.722273 0.296716 0.304100 -4.633521
CH3 -7.404435 0.479834 0.490800 -6.880995
CH3Cl -22.480675 0.610676 0.631000 -12.753600
CH4 -8.080865 0.657222 0.670300 -8.206828
CN -15.488160 0.270098 0.288800 -11.735518
CO -21.710194 0.400519 0.413700 -8.271300
CO2 -37.788022 0.596143 0.621400 -15.849245
CS -15.802251 0.259732 0.274000 -8.953503
Cl2 -29.974170 0.083373 0.094000 -6.668402
ClF -39.196743 0.088052 0.100100 -7.560187
ClO -30.917944 0.090342 0.104700 -9.010093
F2 -48.379472 0.052887 0.062200 -5.843976
H2CO -22.885687 0.577926 0.596700 -11.781052
H2O -17.231656 0.351366 0.371900 -12.885154
H2O2 -33.161842 0.399349 0.429400 -18.857479
H2S -11.395638 0.282505 0.292000 -5.958152
H3COH -24.096496 0.790649 0.818700 -17.602030
H3CSH -18.271027 0.732336 0.757000 -15.476709
HCN -16.195829 0.478724 0.496900 -11.405350
HCO -22.235478 0.426760 0.444700 -11.257525
HCl -15.609599 0.165158 0.171000 -3.665860
HF -24.873550 0.211214 0.226100 -9.341166
HOCl -31.571555 0.244910 0.264700 -12.418209
Li2 -0.431324 0.039137 0.038900 0.148744
LiF -24.571797 0.212411 0.222000 -6.016966
LiH -0.786075 0.090939 0.092430 -0.935801
N2 -19.923964 0.342783 0.364600 -13.690245
N2H4 -22.232092 0.654740 0.699600 -28.150360
NH -10.413905 0.124271 0.133500 -5.791039
NH2 -11.064019 0.275343 0.290400 -9.448561
NH3 -11.740597 0.452878 0.475500 -14.195353
NO -25.898524 0.225730 0.244500 -11.778343
Na2 -0.390139 0.026540 0.026800 -0.163335
NaCl -15.275523 0.148325 0.157400 -5.694556
O2 -31.942255 0.177847 0.192400 -9.131896
OH -16.541168 0.159921 0.170200 -6.450081
P2 -13.102262 0.164729 0.186000 -13.347871
PH2 -7.703585 0.236733 0.244000 -4.560283
PH3 -8.339517 0.373622 0.389000 -9.650012
S2 -20.378843 0.148748 0.164000 -9.570940
SO -26.182182 0.184931 0.200700 -9.895046
SO2 -42.259095 0.379640 0.414400 -21.811970
Si2 -7.636796 0.111266 0.121000 -6.107879
Si2H6 -11.357558 0.837770 0.849000 -7.046836
SiH21A1 -5.001166 0.240315 0.243000 -1.684898
SiH23B1 -4.969181 0.208330 0.210000 -1.047681
SiH3 -5.617793 0.357899 0.363000 -3.201007
SiH4 -6.269768 0.510831 0.515000 -2.615881
SiO -19.935621 0.290652 0.306700 -10.070160
    9.11 -9.10 5.55

2.6.2 DFT

  1. PBE
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.995991      
    C -5.419118      
    Cl -14.944194      
    F -24.193196      
    H -0.497460      
    Li -0.200687      
    N -9.787241      
    Na -0.187487      
    O -15.899796      
    P -6.463623      
    S -10.113356      
    Si -3.765007      
    BeH -1.580650 0.087199 0.079400 4.894017
    C2H2 -12.486965 0.653810 0.642400 7.159796
    C2H4 -13.735055 0.906981 0.899000 5.007887
    C2H6 -14.964553 1.141559 1.136900 2.923734
    CH -6.051717 0.135139 0.133900 0.777688
    CH21A1 -6.697363 0.283326 0.288900 -3.497800
    CH23B1 -6.728559 0.314522 0.304100 6.539772
    CH3 -7.408198 0.496701 0.490800 3.702898
    CH3Cl -22.488662 0.632970 0.631000 1.236350
    CH4 -8.079635 0.670679 0.670300 0.237715
    CN -15.509687 0.303328 0.288800 9.116634
    CO -21.732795 0.413881 0.413700 0.113545
    CO2 -37.857917 0.639206 0.621400 11.173671
    CS -15.808394 0.275919 0.274000 1.204396
    Cl2 -29.988660 0.100271 0.094000 3.935165
    ClF -39.243727 0.106336 0.100100 3.913345
    ClO -30.962770 0.118780 0.104700 8.835315
    F2 -48.457231 0.070838 0.062200 5.420598
    H2CO -22.917097 0.603264 0.596700 4.118822
    H2O -17.252686 0.357971 0.371900 -8.740856
    H2O2 -33.216050 0.421539 0.429400 -4.932762
    H2S -11.396219 0.287944 0.292000 -2.545448
    H3COH -24.124195 0.815443 0.818700 -2.043976
    H3CSH -18.279257 0.756944 0.757000 -0.034932
    HCN -16.211030 0.507212 0.496900 6.470739
    HCO -22.272333 0.455960 0.444700 7.065490
    HCl -15.608881 0.167227 0.171000 -2.367787
    HF -24.903909 0.213253 0.226100 -8.061664
    HOCl -31.605991 0.264541 0.264700 -0.100055
    Li2 -0.428730 0.027355 0.038900 -7.244695
    LiF -24.607418 0.213534 0.222000 -5.312317
    LiH -0.783761 0.085614 0.092430 -4.277016
    N2 -19.944031 0.369549 0.364600 3.105646
    N2H4 -22.260667 0.696348 0.699600 -2.040800
    NH -10.424248 0.139547 0.133500 3.794796
    NH2 -11.076950 0.294791 0.290400 2.755123
    NH3 -11.750531 0.470912 0.475500 -2.878996
    NO -25.943718 0.256682 0.244500 7.644064
    Na2 -0.393856 0.018882 0.026800 -4.968665
    NaCl -15.278649 0.146967 0.157400 -6.546793
    O2 -32.009634 0.210042 0.192400 11.070235
    OH -16.564199 0.166943 0.170200 -2.043735
    P2 -13.116488 0.189243 0.186000 2.034774
    PH2 -7.707406 0.248864 0.244000 3.052369
    PH3 -8.339672 0.383670 0.389000 -3.344494
    S2 -20.403913 0.177201 0.164000 8.283867
    SO -26.225336 0.212184 0.200700 7.206144
    SO2 -42.334579 0.421631 0.414400 4.537734
    Si2 -7.656755 0.126741 0.121000 3.602451
    Si2H6 -11.347111 0.832340 0.849000 -10.454500
    SiH21A1 -4.997928 0.238002 0.243000 -3.136498
    SiH23B1 -4.973696 0.213769 0.210000 2.365398
    SiH3 -5.615863 0.358477 0.363000 -2.838362
    SiH4 -6.259303 0.504458 0.515000 -6.615368
    SiO -19.964948 0.300145 0.306700 -4.113561
        4.57 1.00 5.32
  2. BLYP
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.990724      
    C -5.412035      
    Cl -14.919266      
    F -24.195703      
    H -0.495143      
    Li -0.196415      
    N -9.773575      
    Na -0.183293      
    O -15.895611      
    P -6.436111      
    S -10.087796      
    Si -3.745916      
    BeH -1.576501 0.090634 0.079400 7.049468
    C2H2 -12.442751 0.628395 0.642400 -8.788532
    C2H4 -13.683411 0.878768 0.899000 -12.695652
    C2H6 -14.904358 1.109429 1.136900 -17.238068
    CH -6.042774 0.135595 0.133900 1.063769
    CH21A1 -6.685429 0.283108 0.288900 -3.634447
    CH23B1 -6.705222 0.302901 0.304100 -0.752635
    CH3 -7.384027 0.486563 0.490800 -2.659044
    CH3Cl -22.426873 0.610143 0.631000 -13.088176
    CH4 -8.051779 0.659172 0.670300 -6.983033
    CN -15.473092 0.287482 0.288800 -0.826773
    CO -21.705111 0.397465 0.413700 -10.187534
    CO2 -37.806732 0.603475 0.621400 -11.248075
    CS -15.760496 0.260665 0.274000 -8.367819
    Cl2 -29.925185 0.086653 0.094000 -4.610273
    ClF -39.211343 0.096374 0.100100 -2.338174
    ClO -30.921408 0.106531 0.104700 1.148990
    F2 -48.456313 0.064907 0.062200 1.698944
    H2CO -22.881225 0.583293 0.596700 -8.413018
    H2O -17.237978 0.352081 0.371900 -12.436373
    H2O2 -33.189432 0.407925 0.429400 -13.475759
    H2S -11.363324 0.285243 0.292000 -4.240357
    H3COH -24.080384 0.792166 0.818700 -16.650319
    H3CSH -18.213982 0.733579 0.757000 -14.696914
    HCN -16.172336 0.491583 0.496900 -3.336267
    HCO -22.239825 0.437036 0.444700 -4.809541
    HCl -15.578024 0.163615 0.171000 -4.634269
    HF -24.900105 0.209259 0.226100 -10.568046
    HOCl -31.560892 0.250872 0.264700 -8.677149
    Li2 -0.423039 0.030210 0.038900 -5.453102
    LiF -24.606894 0.214776 0.222000 -4.533028
    LiH -0.786019 0.094462 0.092430 1.274872
    N2 -19.908692 0.361542 0.364600 -1.918770
    N2H4 -22.209436 0.681714 0.699600 -11.223336
    NH -10.409081 0.140364 0.133500 4.306933
    NH2 -11.058095 0.294235 0.290400 2.406227
    NH3 -11.726008 0.467004 0.475500 -5.331044
    NO -25.914237 0.245052 0.244500 0.346439
    Na2 -0.387892 0.021306 0.026800 -3.447793
    NaCl -15.248963 0.146404 0.157400 -6.900326
    O2 -31.984541 0.193320 0.192400 0.577220
    OH -16.555878 0.165124 0.170200 -3.185129
    P2 -13.059180 0.186958 0.186000 0.601303
    PH2 -7.679821 0.253424 0.244000 5.913901
    PH3 -8.310387 0.388847 0.389000 -0.095742
    S2 -20.338710 0.163119 0.164000 -0.553088
    SO -26.183279 0.199872 0.200700 -0.519508
    SO2 -42.274016 0.394998 0.414400 -12.174640
    Si2 -7.609889 0.118058 0.121000 -1.846244
    Si2H6 -11.301180 0.838491 0.849000 -6.594540
    SiH21A1 -4.981718 0.245516 0.243000 1.578798
    SiH23B1 -4.950108 0.213906 0.210000 2.451146
    SiH3 -5.595816 0.364471 0.363000 0.923186
    SiH4 -6.241116 0.514629 0.515000 -0.232952
    SiO -19.938421 0.296894 0.306700 -6.153216
        5.58 -4.44 5.80
  3. PBE0
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.997403      
    C -5.421836      
    Cl -14.950473      
    F -24.191931      
    H -0.499425      
    Li -0.201027      
    N -9.791806      
    Na -0.187580      
    O -15.900347      
    P -6.467784      
    S -10.118287      
    Si -3.766385      
    BeH -1.583607 0.086779 0.079400 4.630417
    C2H2 -12.483540 0.641017 0.642400 -0.867601
    C2H4 -13.738962 0.897589 0.899000 -0.885439
    C2H6 -14.976908 1.136684 1.136900 -0.135562
    CH -6.053762 0.132501 0.133900 -0.878119
    CH21A1 -6.700648 0.279961 0.288900 -5.609285
    CH23B1 -6.733658 0.312971 0.304100 5.566845
    CH3 -7.414741 0.494629 0.490800 2.402552
    CH3Cl -22.497175 0.626590 0.631000 -2.767530
    CH4 -8.087640 0.668102 0.670300 -1.378975
    CN -15.491495 0.277853 0.288800 -6.869428
    CO -21.719381 0.397198 0.413700 -10.355225
    CO2 -37.829845 0.607314 0.621400 -8.839069
    CS -15.800526 0.260403 0.274000 -8.532254
    Cl2 -29.992501 0.091554 0.094000 -1.534621
    ClF -39.232663 0.090259 0.100100 -6.175081
    ClO -30.950426 0.099605 0.104700 -3.196895
    F2 -48.427906 0.044044 0.062200 -11.392800
    H2CO -22.906759 0.585725 0.596700 -6.886885
    H2O -17.248357 0.349159 0.371900 -14.270335
    H2O2 -33.195453 0.395908 0.429400 -21.016443
    H2S -11.401668 0.284530 0.292000 -4.687354
    H3COH -24.122893 0.803008 0.818700 -9.846612
    H3CSH -18.287977 0.750152 0.757000 -4.297097
    HCN -16.200224 0.487156 0.496900 -6.114165
    HCO -22.258027 0.436419 0.444700 -5.196545
    HCl -15.614960 0.165061 0.171000 -3.726559
    HF -24.898354 0.206998 0.226100 -11.986513
    HOCl -31.597823 0.247577 0.264700 -10.744900
    Li2 -0.429693 0.027640 0.038900 -7.065499
    LiF -24.596813 0.203856 0.222000 -11.385494
    LiH -0.784788 0.084336 0.092430 -5.079099
    N2 -19.928903 0.345292 0.364600 -12.116270
    N2H4 -22.257466 0.676153 0.699600 -14.713280
    NH -10.425865 0.134634 0.133500 0.711350
    NH2 -11.077845 0.287188 0.290400 -2.015515
    NH3 -11.751984 0.461902 0.475500 -8.532720
    NO -25.923450 0.231297 0.244500 -8.285315
    Na2 -0.394033 0.018873 0.026800 -4.974234
    NaCl -15.283835 0.145782 0.157400 -7.290276
    O2 -31.984919 0.184225 0.192400 -5.130183
    OH -16.561463 0.161690 0.170200 -5.340024
    P2 -13.109172 0.173603 0.186000 -7.779456
    PH2 -7.712147 0.245512 0.244000 0.948883
    PH3 -8.345644 0.379583 0.389000 -5.909120
    S2 -20.401825 0.165251 0.164000 0.785044
    SO -26.211842 0.193207 0.200700 -4.701706
    SO2 -42.303546 0.384565 0.414400 -18.721908
    Si2 -7.653405 0.120635 0.121000 -0.229187
    Si2H6 -11.363882 0.834559 0.849000 -9.061833
    SiH21A1 -5.001358 0.236123 0.243000 -4.315690
    SiH23B1 -4.978607 0.213371 0.210000 2.115412
    SiH3 -5.623570 0.358908 0.363000 -2.567531
    SiH4 -6.269705 0.505619 0.515000 -5.886768
    SiO -19.948316 0.281583 0.306700 -15.760880
        6.40 -5.78 5.49
  4. B3LYP
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -1.001064      
    C -5.432579      
    Cl -14.960253      
    F -24.226363      
    H -0.500247      
    Li -0.200497      
    N -9.801065      
    Na -0.187080      
    O -15.923078      
    P -6.464760      
    S -10.122081      
    Si -3.766551      
    BeH -1.592187 0.090876 0.079400 7.201446
    C2H2 -12.494274 0.628623 0.642400 -8.645039
    C2H4 -13.751531 0.885387 0.899000 -8.542116
    C2H6 -14.989941 1.123304 1.136900 -8.531671
    CH -6.068218 0.135393 0.133900 0.936957
    CH21A1 -6.718234 0.285162 0.288900 -2.345487
    CH23B1 -6.738986 0.305914 0.304100 1.138201
    CH3 -7.424792 0.491474 0.490800 0.422772
    CH3Cl -22.509544 0.615972 0.631000 -9.430071
    CH4 -8.100245 0.666680 0.670300 -2.271412
    CN -15.505811 0.272167 0.288800 -10.437318
    CO -21.747159 0.391502 0.413700 -13.929547
    CO2 -37.870086 0.591351 0.621400 -18.855819
    CS -15.808673 0.254014 0.274000 -12.541678
    Cl2 -30.004344 0.083838 0.094000 -6.376706
    ClF -39.275124 0.088509 0.100100 -7.273579
    ClO -30.979586 0.096255 0.104700 -5.299467
    F2 -48.501355 0.048629 0.062200 -8.515754
    H2CO -22.936484 0.580334 0.596700 -10.269904
    H2O -17.275461 0.351890 0.371900 -12.556392
    H2O2 -33.245379 0.398729 0.429400 -19.246046
    H2S -11.410104 0.287530 0.292000 -2.804710
    H3COH -24.153635 0.796992 0.818700 -13.621906
    H3CSH -18.296977 0.741331 0.757000 -9.832294
    HCN -16.217584 0.483693 0.496900 -8.287407
    HCO -22.285837 0.429934 0.444700 -9.266125
    HCl -15.625330 0.164831 0.171000 -3.871087
    HF -24.935022 0.208413 0.226100 -11.098820
    HOCl -31.628720 0.245143 0.264700 -12.272272
    Li2 -0.432351 0.031357 0.038900 -4.733448
    LiF -24.637498 0.210638 0.222000 -7.129861
    LiH -0.795469 0.094726 0.092430 1.440471
    N2 -19.950292 0.348162 0.364600 -10.315058
    N2H4 -22.282112 0.678996 0.699600 -12.929499
    NH -10.439126 0.137814 0.133500 2.707283
    NH2 -11.093834 0.292276 0.290400 1.177336
    NH3 -11.769157 0.467352 0.475500 -5.113110
    NO -25.955135 0.230992 0.244500 -8.476416
    Na2 -0.396296 0.022136 0.026800 -2.926456
    NaCl -15.295499 0.148166 0.157400 -5.794155
    O2 -32.025725 0.179569 0.192400 -8.051430
    OH -16.587322 0.163998 0.170200 -3.892121
    P2 -13.107901 0.178382 0.186000 -4.780522
    PH2 -7.719460 0.254207 0.244000 6.404796
    PH3 -8.356920 0.391420 0.389000 1.518645
    S2 -20.402174 0.158012 0.164000 -3.757373
    SO -26.235507 0.190348 0.200700 -6.495673
    SO2 -42.346045 0.377809 0.414400 -22.961482
    Si2 -7.649142 0.116040 0.121000 -3.112604
    Si2H6 -11.387458 0.852876 0.849000 2.432198
    SiH21A1 -5.014671 0.247626 0.243000 2.903058
    SiH23B1 -4.983754 0.216709 0.210000 4.210211
    SiH3 -5.636906 0.369615 0.363000 4.150912
    SiH4 -6.289854 0.522317 0.515000 4.591301
    SiO -19.977315 0.287685 0.306700 -11.931853
        7.27 -5.77 6.63

2.6.3 \(\mu=0\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.995992       5
    C -5.415558       15
    Cl -14.940443       16
    F -24.189715       31
    H -0.500912       1
    Li -0.196167       1
    N -9.782786       29
    Na -0.181859       1
    O -15.894323       49
    P -6.462420       13
    S -10.109303       19
    Si -3.762540       9
    BeH -1.578351 0.081447 0.079400 1.284579 13
    C2H2 -12.486658 0.653717 0.642400 7.101799 47
    C2H4 -13.734919 0.900154 0.899000 0.724062 95
    C2H6 -14.964457 1.127868 1.136900 -5.667860 191
    CH -6.048645 0.132174 0.133900 -1.082932 33
    CH21A1 -6.697257 0.279875 0.288900 -5.663400 47
    CH23B1 -6.720982 0.303599 0.304100 -0.314363 73
    CH3 -7.404619 0.486325 0.490800 -2.808176 72
    CH3Cl -22.488560 0.629822 0.631000 -0.738983 191
    CH4 -8.079908 0.660702 0.670300 -6.023073 95
    CN -15.505024 0.306679 0.288800 11.219545 84
    CO -21.732585 0.422703 0.413700 5.649403 95
    CO2 -37.857754 0.653548 0.621400 20.173326 191
    CS -15.808316 0.283454 0.274000 5.932583 95
    Cl2 -29.988360 0.107474 0.094000 8.455052 47
    ClF -39.243422 0.113264 0.100100 8.260677 95
    ClO -30.958747 0.123980 0.104700 12.098658 240
    F2 -48.456767 0.077338 0.062200 9.498968 47
    H2CO -22.916997 0.605291 0.596700 5.390807 191
    H2O -17.252411 0.356263 0.371900 -9.812252 23
    H2O2 -33.215957 0.425486 0.429400 -2.455895 191
    H2S -11.396005 0.284877 0.292000 -4.469499 23
    H3COH -24.124753 0.811223 0.818700 -4.691679 383
    H3CSH -18.278207 0.749697 0.757000 -4.582609 383
    HCN -16.210857 0.511600 0.496900 9.224172 95
    HCO -22.269427 0.458633 0.444700 8.743064 299
    HCl -15.608318 0.166963 0.171000 -2.532958 11
    HF -24.903995 0.213369 0.226100 -7.988970 47
    HOCl -31.605570 0.269892 0.264700 3.258070 191
    Li2 -0.428677 0.036343 0.038900 -1.604381 5
    LiF -24.606297 0.220415 0.222000 -0.994505 23
    LiH -0.783411 0.086332 0.092430 -3.826415 5
    N2 -19.943963 0.378390 0.364600 8.653352 47
    N2H4 -22.260976 0.691755 0.699600 -4.922720 383
    NH -10.418508 0.134810 0.133500 0.821781 81
    NH2 -11.073200 0.288590 0.290400 -1.136001 71
    NH3 -11.750439 0.464916 0.475500 -6.641476 23
    NO -25.940809 0.263699 0.244500 12.047451 157
    Na2 -0.393635 0.029917 0.026800 1.956080 5
    NaCl -15.277559 0.155257 0.157400 -1.344670 11
    O2 -32.004245 0.215599 0.192400 14.557367 90
    OH -16.560764 0.165529 0.170200 -2.931389 73
    P2 -13.116300 0.191460 0.186000 3.426198 23
    PH2 -7.703892 0.239648 0.244000 -2.730835 72
    PH3 -8.339400 0.374244 0.389000 -9.259387 47
    S2 -20.400926 0.182319 0.164000 11.495056 91
    SO -26.221277 0.217650 0.200700 10.636558 167
    SO2 -42.334377 0.436426 0.414400 13.821823 384
    Si2 -7.651773 0.126693 0.121000 3.572196 43
    Si2H6 -11.345989 0.815437 0.849000 -21.061197 191
    SiH21A1 -4.997705 0.233341 0.243000 -6.061354 47
    SiH23B1 -4.968252 0.203888 0.210000 -3.835575 67
    SiH3 -5.612396 0.347120 0.363000 -9.965140 137
    SiH4 -6.259889 0.493701 0.515000 -13.365151 95
    SiO -19.964628 0.307765 0.306700 0.668260 47
        6.31 0.91 7.93  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -0.997691 0.000015 0.000000 0.000021       5
    C -5.417028 0.000023 0.000000 0.000033       15
    Cl -14.941519 0.000042 0.000000 0.000060       16
    F -24.189637 0.000067 0.000000 0.000095       31
    H -0.500002 0.000008 0.000000 0.000011       1
    Li -0.196419 0.000002 0.000000 0.000003       1
    N -9.789446 0.000116 0.000000 0.000164       29
    Na -0.182142 0.000003 0.000000 0.000004       1
    O -15.893331 0.000156 0.000000 0.000220       49
    P -6.462465 0.000029 0.000000 0.000042       13
    S -10.108990 0.000033 0.000000 0.000047       19
    Si -3.758559 0.000026 0.000000 0.000037       9
    BeH -1.587371 0.000685 0.089678 0.000685 0.079400 6.449530 0.430013 13
    C2H2 -12.491119 0.000143 0.657059 0.000151 0.642400 9.198847 0.094977 47
    C2H4 -13.744313 0.000153 0.910249 0.000163 0.899000 7.058664 0.102040 95
    C2H6 -14.985780 0.000267 1.151713 0.000275 1.136900 9.295102 0.172290 191
    CH -6.049921 0.000042 0.132891 0.000048 0.133900 -0.633032 0.030199 33
    CH21A1 -6.705087 0.000064 0.288055 0.000070 0.288900 -0.530061 0.044019 47
    CH23B1 -6.726587 0.000039 0.309555 0.000048 0.304100 3.423191 0.030193 73
    CH3 -7.414304 0.000072 0.497270 0.000079 0.490800 4.060166 0.049375 72
    CH3Cl -22.492938 0.000675 0.634386 0.000677 0.631000 2.124594 0.425075 191
    CH4 -8.094450 0.000070 0.677415 0.000080 0.670300 4.464655 0.050041 95
    CN -15.488826 0.000099 0.282352 0.000154 0.288800 -4.046143 0.096917 84
    CO -21.724654 0.000105 0.414295 0.000189 0.413700 0.373618 0.118741 95
    CO2 -37.830280 0.000259 0.626591 0.000406 0.621400 3.257186 0.254561 191
    CS -15.795598 0.000131 0.269580 0.000138 0.274000 -2.773893 0.086306 95
    Cl2 -29.976179 0.000188 0.093141 0.000206 0.094000 -0.538747 0.129335 47
    ClF -39.225737 0.000248 0.094581 0.000260 0.100100 -3.463180 0.163182 95
    ClO -30.932152 0.000271 0.097302 0.000315 0.104700 -4.642333 0.197734 240
    F2 -48.426862 0.001154 0.047588 0.001161 0.062200 -9.169431 0.728730 47
    H2CO -22.910378 0.000231 0.600016 0.000280 0.596700 2.080514 0.175622 191
    H2O -17.256879 0.000058 0.363544 0.000167 0.371900 -5.243288 0.104655 23
    H2O2 -33.198133 0.000311 0.411468 0.000440 0.429400 -11.252768 0.276385 191
    H2S -11.398220 0.000062 0.289227 0.000072 0.292000 -1.740360 0.045276 23
    H3COH -24.131832 0.000446 0.821466 0.000474 0.818700 1.735401 0.297488 383
    H3CSH -18.285696 0.000340 0.759671 0.000344 0.757000 1.676056 0.215762 383
    HCN -16.206981 0.000106 0.500506 0.000159 0.496900 2.262684 0.099662 95
    HCO -22.254871 0.000219 0.444511 0.000270 0.444700 -0.118796 0.169367 299
    HCl -15.611015 0.000052 0.169494 0.000067 0.171000 -0.944764 0.042175 11
    HF -24.908333 0.000114 0.218694 0.000133 0.226100 -4.647615 0.083317 47
    HOCl -31.591584 0.000264 0.256733 0.000310 0.264700 -4.999669 0.194331 191
    Li2 -0.427761 0.000012 0.034924 0.000013 0.038900 -2.494725 0.007906 5
    LiF -24.609167 0.000104 0.223111 0.000124 0.222000 0.697301 0.077810 23
    LiH -0.788072 0.000014 0.091652 0.000016 0.092430 -0.488367 0.010340 5
    N2 -19.933846 0.000123 0.354955 0.000262 0.364600 -6.052491 0.164617 47
    N2H4 -22.262509 0.000229 0.683610 0.000327 0.699600 -10.033741 0.205384 383
    NH -10.418696 0.000055 0.129248 0.000129 0.133500 -2.667891 0.080786 81
    NH2 -11.075456 0.000060 0.286006 0.000131 0.290400 -2.756996 0.082387 71
    NH3 -11.758903 0.000071 0.469451 0.000138 0.475500 -3.795498 0.086373 23
    NO -25.914957 0.000143 0.232181 0.000241 0.244500 -7.730181 0.151360 157
    Na2 -0.391236 0.000015 0.026952 0.000016 0.026800 0.095162 0.009813 5
    NaCl -15.281468 0.000073 0.157807 0.000084 0.157400 0.255489 0.052819 11
    O2 -31.970240 0.000181 0.183579 0.000360 0.192400 -5.535555 0.226038 90
    OH -16.559080 0.000074 0.165748 0.000172 0.170200 -2.793854 0.108167 73
    P2 -13.100373 0.000070 0.175443 0.000091 0.186000 -6.624373 0.057243 23
    PH2 -7.704866 0.000059 0.242398 0.000068 0.244000 -1.005493 0.042425 72
    PH3 -8.344545 0.000060 0.382074 0.000071 0.389000 -4.345991 0.044616 47
    S2 -20.379447 0.000128 0.161467 0.000144 0.164000 -1.589492 0.090531 91
    SO -26.199816 0.000166 0.197496 0.000230 0.200700 -2.010676 0.144225 167
    SO2 -42.301927 0.000561 0.406276 0.000642 0.414400 -5.097743 0.402960 384
    Si2 -7.632480 0.000083 0.115361 0.000098 0.121000 -3.538251 0.061258 43
    Si2H6 -11.371770 0.000425 0.854641 0.000431 0.849000 3.539634 0.270357 191
    SiH21A1 -5.002718 0.000059 0.244155 0.000066 0.243000 0.724775 0.041604 47
    SiH23B1 -4.971805 0.000060 0.213242 0.000067 0.210000 2.034166 0.042232 67
    SiH3 -5.623075 0.000093 0.364510 0.000100 0.363000 0.947580 0.062550 137
    SiH4 -6.277757 0.000145 0.519191 0.000151 0.515000 2.629616 0.094560 95
    SiO -19.955719 0.000131 0.303829 0.000205 0.306700 -1.801746 0.128826 47
      3.52 0.19 -1.03 4.39 0.04      

2.6.4 \(\mu=1/4\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.994638       13
    C -5.418798       18
    Cl -14.939612       127
    F -24.191803       31
    H -0.498892       1
    Li -0.198879       1
    N -9.787920       29
    Na -0.184562       1
    O -15.896821       42
    P -6.462610       61
    S -10.108434       122
    Si -3.760535       55
    BeH -1.580067 0.086537 0.079400 4.478799 13
    C2H2 -12.488247 0.652867 0.642400 6.568077 740
    C2H4 -13.737941 0.904777 0.899000 3.625083 904
    C2H6 -14.971590 1.140641 1.136900 2.347662 6100
    CH -6.049247 0.131557 0.133900 -1.470090 66
    CH21A1 -6.698159 0.281577 0.288900 -4.595339 171
    CH23B1 -6.723904 0.307321 0.304100 2.021468 145
    CH3 -7.407165 0.491690 0.490800 0.558782 162
    CH3Cl -22.488919 0.633833 0.631000 1.777928 7505
    CH4 -8.082097 0.667731 0.670300 -1.612386 411
    CN -15.500503 0.293785 0.288800 3.128016 631
    CO -21.736860 0.421241 0.413700 4.731779 410
    CO2 -37.860561 0.648121 0.621400 16.767976 1516
    CS -15.801669 0.274437 0.274000 0.274226 2396
    Cl2 -29.982036 0.102812 0.094000 5.529465 2816
    ClF -39.243721 0.112307 0.100100 7.659794 795
    ClO -30.955604 0.119172 0.104700 9.081158 1948
    F2 -48.459597 0.075991 0.062200 8.654136 90
    H2CO -22.920253 0.606850 0.596700 6.369094 763
    H2O -17.255917 0.361313 0.371900 -6.643652 47
    H2O2 -33.221051 0.429625 0.429400 0.141428 673
    H2S -11.392667 0.286450 0.292000 -3.482939 337
    H3COH -24.132017 0.820830 0.818700 1.336494 3021
    H3CSH -18.278197 0.755397 0.757000 -1.005804 16693
    HCN -16.212193 0.506583 0.496900 6.076107 939
    HCO -22.272113 0.457603 0.444700 8.096455 1414
    HCl -15.606246 0.167743 0.171000 -2.044105 184
    HF -24.907592 0.216897 0.226100 -5.775072 46
    HOCl -31.605676 0.270351 0.264700 3.546025 1785
    Li2 -0.427789 0.030031 0.038900 -5.565398 11
    LiF -24.612130 0.221448 0.222000 -0.346485 23
    LiH -0.785226 0.087455 0.092430 -3.122037 5
    N2 -19.946137 0.370297 0.364600 3.574839 206
    N2H4 -22.267523 0.696115 0.699600 -2.186674 10976
    NH -10.420498 0.133686 0.133500 0.116507 83
    NH2 -11.075118 0.289414 0.290400 -0.618891 152
    NH3 -11.753609 0.469013 0.475500 -4.070381 192
    NO -25.943535 0.258795 0.244500 8.969957 344
    Na2 -0.390144 0.021020 0.026800 -3.627266 11
    NaCl -15.278156 0.153981 0.157400 -2.145167 386
    O2 -32.006548 0.212906 0.192400 12.867864 170
    OH -16.563056 0.167343 0.170200 -1.792747 78
    P2 -13.101771 0.176550 0.186000 -5.929775 2543
    PH2 -7.700424 0.240030 0.244000 -2.491448 610
    PH3 -8.335707 0.376421 0.389000 -7.893557 889
    S2 -20.389744 0.172876 0.164000 5.569710 4209
    SO -26.219941 0.214686 0.200700 8.776544 2239
    SO2 -42.335431 0.433355 0.414400 11.894683 12283
    Si2 -7.635373 0.114303 0.121000 -4.202640 2332
    Si2H6 -11.347478 0.833056 0.849000 -10.005301 29250
    SiH21A1 -4.994242 0.235923 0.243000 -4.441145 302
    SiH23B1 -4.967755 0.209435 0.210000 -0.354267 269
    SiH3 -5.612778 0.355567 0.363000 -4.664510 1302
    SiH4 -6.260591 0.504488 0.515000 -6.596281 2019
    SiO -19.964953 0.307597 0.306700 0.562795 845
        4.58 1.06 5.72  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.001590 0.000043 0.000000 0.000061       13
    C -5.417927 0.000054 0.000000 0.000077       18
    Cl -14.944713 0.000094 0.000000 0.000132       127
    F -24.189771 0.000124 0.000000 0.000175       31
    H -0.500003 0.000003 0.000000 0.000005       1
    Li -0.196326 0.000001 0.000000 0.000002       1
    N -9.789147 0.000096 0.000000 0.000136       29
    Na -0.182144 0.000002 0.000000 0.000002       1
    O -15.892839 0.000100 0.000000 0.000141       42
    P -6.464868 0.000110 0.000000 0.000155       61
    S -10.111848 0.000104 0.000000 0.000147       122
    Si -3.760170 0.000093 0.000000 0.000131       55
    BeH -1.587681 0.000968 0.086088 0.000969 0.079400 4.196953 0.608289 13
    C2H2 -12.494217 0.000740 0.658358 0.000748 0.642400 10.013558 0.469329 740
    C2H4 -13.746026 0.000731 0.910159 0.000739 0.899000 7.002674 0.463846 904
    C2H6 -14.985624 0.001553 1.149751 0.001557 1.136900 8.064219 0.977011 6100
    CH -6.051869 0.000149 0.133939 0.000158 0.133900 0.024473 0.099450 66
    CH21A1 -6.707438 0.000168 0.289504 0.000177 0.288900 0.379233 0.110949 171
    CH23B1 -6.727000 0.000195 0.309066 0.000202 0.304100 3.116501 0.127051 145
    CH3 -7.414502 0.000267 0.496566 0.000273 0.490800 3.618093 0.171155 162
    CH3Cl -22.497204 0.000814 0.634555 0.000821 0.631000 2.230530 0.515259 7505
    CH4 -8.094889 0.000260 0.676949 0.000266 0.670300 4.172378 0.166671 411
    CN -15.493316 0.000323 0.286242 0.000342 0.288800 -1.605145 0.214493 631
    CO -21.727277 0.000591 0.416512 0.000602 0.413700 1.764715 0.377752 410
    CO2 -37.834494 0.001061 0.630891 0.001081 0.621400 5.955412 0.678100 1516
    CS -15.801754 0.000473 0.271980 0.000487 0.274000 -1.267778 0.305696 2396
    Cl2 -29.983444 0.000262 0.094019 0.000322 0.094000 0.011860 0.202027 2816
    ClF -39.230571 0.001266 0.096087 0.001275 0.100100 -2.518353 0.800330 795
    ClO -30.938412 0.001326 0.100861 0.001333 0.104700 -2.409223 0.836426 1948
    F2 -48.427172 0.001422 0.047629 0.001443 0.062200 -9.143526 0.905584 90
    H2CO -22.912668 0.000971 0.601896 0.000978 0.596700 3.260448 0.613736 763
    H2O -17.256742 0.000138 0.363897 0.000170 0.371900 -5.021915 0.106972 47
    H2O2 -33.198202 0.001182 0.412518 0.001199 0.429400 -10.593674 0.752184 673
    H2S -11.401024 0.000473 0.289170 0.000485 0.292000 -1.775791 0.304069 337
    H3COH -24.134729 0.001455 0.823950 0.001459 0.818700 3.294480 0.915545 3021
    H3CSH -18.292972 0.003027 0.763185 0.003029 0.757000 3.881053 1.900931 16693
    HCN -16.209478 0.000514 0.502401 0.000525 0.496900 3.451700 0.329653 939
    HCO -22.258099 0.001179 0.447330 0.001185 0.444700 1.650410 0.743419 1414
    HCl -15.614199 0.000231 0.169483 0.000249 0.171000 -0.951770 0.156484 184
    HF -24.908326 0.000208 0.218551 0.000242 0.226100 -4.737052 0.151753 46
    HOCl -31.595232 0.000915 0.257677 0.000925 0.264700 -4.406973 0.580448 1785
    Li2 -0.430590 0.000038 0.037938 0.000038 0.038900 -0.603381 0.023999 11
    LiF -24.609057 0.000282 0.222960 0.000308 0.222000 0.602284 0.193372 23
    LiH -0.788100 0.000043 0.091771 0.000043 0.092430 -0.413476 0.027256 5
    N2 -19.936311 0.000241 0.358017 0.000309 0.364600 -4.130596 0.193700 206
    N2H4 -22.258558 0.003514 0.680251 0.003519 0.699600 -12.141860 2.208304 10976
    NH -10.419077 0.000161 0.129926 0.000187 0.133500 -2.242480 0.117556 83
    NH2 -11.075986 0.000352 0.286832 0.000365 0.290400 -2.238731 0.229197 152
    NH3 -11.759396 0.000193 0.470239 0.000216 0.475500 -3.301221 0.135443 192
    NO -25.917099 0.000589 0.235113 0.000605 0.244500 -5.890165 0.379432 344
    Na2 -0.390920 0.000014 0.026633 0.000015 0.026800 -0.104782 0.009254 11
    NaCl -15.285027 0.000353 0.158171 0.000365 0.157400 0.483649 0.229282 386
    O2 -31.972286 0.000872 0.186609 0.000894 0.192400 -3.634100 0.561121 170
    OH -16.559185 0.000093 0.166343 0.000137 0.170200 -2.420451 0.085823 78
    P2 -13.106552 0.000585 0.176816 0.000625 0.186000 -5.762973 0.392082 2543
    PH2 -7.707343 0.000267 0.242468 0.000288 0.244000 -0.961238 0.180987 610
    PH3 -8.346722 0.000297 0.381844 0.000317 0.389000 -4.490361 0.199092 889
    S2 -20.383884 0.000874 0.160189 0.000899 0.164000 -2.391634 0.563876 4209
    SO -26.204030 0.000807 0.199344 0.000820 0.200700 -0.851098 0.514585 2239
    SO2 -42.296103 0.005871 0.398578 0.005875 0.414400 -9.928614 3.686681 12283
    Si2 -7.636762 0.000526 0.116423 0.000558 0.121000 -2.872118 0.350000 2332
    Si2H6 -11.374302 0.001091 0.853943 0.001107 0.849000 3.101642 0.694596 29250
    SiH21A1 -5.004371 0.000299 0.244195 0.000313 0.243000 0.750010 0.196653 302
    SiH23B1 -4.973388 0.000238 0.213212 0.000256 0.210000 2.015474 0.160451 269
    SiH3 -5.625027 0.000373 0.364848 0.000385 0.363000 1.159498 0.241336 1302
    SiH4 -6.279817 0.000685 0.519634 0.000691 0.515000 2.908075 0.433856 2019
    SiO -19.958859 0.000768 0.305851 0.000780 0.306700 -0.532719 0.489741 845
      3.39 0.77 -0.59 4.44 0.34      

2.6.5 \(\mu=1/2\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.998262       11
    C -5.426287       142
    Cl -14.945871       1745
    F -24.216187       332
    H -0.502296       1
    Li -0.196739       1
    N -9.802906       278
    Na -0.182371       1
    O -15.914975       369
    P -6.465047       659
    S -10.111838       1094
    Si -3.759602       273
    BeH -1.582425 0.081867 0.079400 1.547929 141
    C2H2 -12.491868 0.634701 0.642400 -4.831432 24583
    C2H4 -13.744979 0.883220 0.899000 -9.902176 48984
    C2H6 -14.984867 1.118515 1.136900 -11.536821 387245
    CH -6.054906 0.126323 0.133900 -4.754955 1207
    CH21A1 -6.704228 0.273349 0.288900 -9.758615 1463
    CH23B1 -6.732656 0.301776 0.304100 -1.458423 2609
    CH3 -7.415705 0.482530 0.490800 -5.189750 3357
    CH3Cl -22.496886 0.617839 0.631000 -8.258935 401797
    CH4 -8.091636 0.656164 0.670300 -8.870454 27417
    CN -15.500623 0.271430 0.288800 -10.899857 22915
    CO -21.746748 0.405486 0.413700 -5.154533 10430
    CO2 -37.874991 0.618753 0.621400 -1.660920 92560
    CS -15.799741 0.261616 0.274000 -7.771368 149631
    Cl2 -29.984427 0.092684 0.094000 -0.825724 188008
    ClF -39.259993 0.097935 0.100100 -1.358376 46952
    ClO -30.961899 0.101053 0.104700 -2.288617 87113
    F2 -48.486273 0.053899 0.062200 -5.208688 8432
    H2CO -22.931847 0.585993 0.596700 -6.719052 43317
    H2O -17.271322 0.351755 0.371900 -12.641249 1685
    H2O2 -33.239150 0.404607 0.429400 -15.557645 91645
    H2S -11.395645 0.279215 0.292000 -8.022687 5996
    H3COH -24.150723 0.800276 0.818700 -11.561197 145275
    H3CSH -18.285085 0.737775 0.757000 -12.063768 1661290
    HCN -16.216291 0.484802 0.496900 -7.591671 37520
    HCO -22.281172 0.437613 0.444700 -4.447041 103416
    HCl -15.611645 0.163478 0.171000 -4.720164 6332
    HF -24.930165 0.211682 0.226100 -9.047528 1228
    HOCl -31.616075 0.252932 0.264700 -7.384381 97849
    Li2 -0.429005 0.035528 0.038900 -2.116218 11
    LiF -24.633580 0.220654 0.222000 -0.844350 881
    LiH -0.785530 0.086495 0.092430 -3.724376 11
    N2 -19.952279 0.346468 0.364600 -11.377891 8914
    N2H4 -22.281405 0.666410 0.699600 -20.827273 202086
    NH -10.431265 0.126064 0.133500 -4.666383 1194
    NH2 -11.085105 0.277607 0.290400 -8.027840 4200
    NH3 -11.764141 0.454347 0.475500 -13.273966 6186
    NO -25.953965 0.236084 0.244500 -5.280981 22374
    Na2 -0.389555 0.024814 0.026800 -1.246371 11
    NaCl -15.283496 0.155254 0.157400 -1.346838 5758
    O2 -32.020282 0.190331 0.192400 -1.298124 19081
    OH -16.579077 0.161805 0.170200 -5.267788 1692
    P2 -13.097941 0.167847 0.186000 -11.390941 220607
    PH2 -7.702488 0.232850 0.244000 -6.997041 7371
    PH3 -8.338959 0.367024 0.389000 -13.790226 25692
    S2 -20.386929 0.163252 0.164000 -0.469184 1342830
    SO -26.225340 0.198527 0.200700 -1.363889 145468
    SO2 -42.344413 0.402624 0.414400 -7.389652 1389460
    Si2 -7.631560 0.112356 0.121000 -5.423939 139264
    Si2H6 -11.359756 0.826776 0.849000 -13.946087 6730478
    SiH21A1 -4.996287 0.232093 0.243000 -6.844398 3641
    SiH23B1 -4.971317 0.207123 0.210000 -1.805359 4235
    SiH3 -5.618778 0.352288 0.363000 -6.722127 20069
    SiH4 -6.269140 0.500354 0.515000 -9.190360 41778
    SiO -19.970646 0.296069 0.306700 -6.671243 26149
        6.77 -6.71 4.56  
  2. DMC without Jastrow
      Total E   Delta E   Reference Error  
      Hartree   Hartree   Hartree kcal/mol  
    Be -1.007273 0.000009          
    C -5.422968 0.000059          
    Cl -14.953296 0.000209          
    F -24.191160 0.000154          
    H -0.500003 0.000003          
    Li -0.196326 0.000001          
    N -9.791066 0.000107          
    Na -0.182144 0.000002          
    O -15.894932 0.000153          
    P -6.470170 0.000104          
    S -10.118934 0.000134          
    Si -3.763979 0.000054          
    C2H2 -12.494688 0.001235 0.648746 0.001241 0.642400 3.982276 0.778450
    C2H4 -13.747089 0.000912 0.901140 0.000920 0.899000 1.343007 0.577336
    C2H6 -14.985170 0.001895 1.139215 0.001899 1.136900 1.452418 1.191346
    CH -6.056925 0.000143 0.133954 0.000155 0.133900 0.033677 0.097047
    CH21A1 -6.712542 0.000231 0.289567 0.000239 0.288900 0.418832 0.149699
    CH23B1 -6.728932 0.000180 0.305958 0.000190 0.304100 1.165904 0.118975
    CH3 -7.415797 0.000290 0.492820 0.000296 0.490800 1.267433 0.185621
    CH3Cl -22.505354 0.001446 0.629080 0.001463 0.631000 -1.204557 0.917741
    CH4 -8.096248 0.000660 0.673268 0.000663 0.670300 1.862189 0.416055
    CN -15.503306 0.000713 0.289272 0.000724 0.288800 0.296287 0.454036
    CO -21.733058 0.000647 0.415158 0.000667 0.413700 0.915093 0.418591
    CO2 -37.835639 0.001461 0.622807 0.001494 0.621400 0.882948 0.937235
    CS -15.813849 0.001321 0.271948 0.001329 0.274000 -1.287607 0.833910
    Cl2 -29.999495 0.000811 0.092903 0.000912 0.094000 -0.688477 0.572592
    ClF -39.240347 0.001286 0.095891 0.001312 0.100100 -2.641149 0.823116
    ClO -30.948563 0.000697 0.100335 0.000744 0.104700 -2.739001 0.466689
    F2 -48.436023 0.001138 0.053704 0.001179 0.062200 -5.331380 0.740021
    H2CO -22.915040 0.001390 0.597134 0.001400 0.596700 0.272229 0.878441
    H2O -17.257413 0.000339 0.362474 0.000372 0.371900 -5.914913 0.233416
    H2O2 -33.203269 0.001407 0.413398 0.001439 0.429400 -10.041147 0.903240
    H2S -11.408073 0.000327 0.289133 0.000354 0.292000 -1.799156 0.221884
    H3COH -24.131302 0.001079 0.813389 0.001091 0.818700 -3.332420 0.684594
    H3CSH -18.295769 0.002132 0.753855 0.002137 0.757000 -1.973515 1.340994
    HCN -16.215590 0.000516 0.501553 0.000530 0.496900 2.919772 0.332894
    HCO -22.262855 0.000653 0.444952 0.000673 0.444700 0.157981 0.422590
    HCl -15.623938 0.000347 0.170638 0.000405 0.171000 -0.226874 0.254259
    HF -24.909404 0.000297 0.218241 0.000335 0.226100 -4.931461 0.209988
    HOCl -31.605993 0.002131 0.257761 0.002147 0.264700 -4.354028 1.346990
    Li2 -0.431440 0.000008 0.038788 0.000008 0.038900 -0.070155 0.005267
    LiF -24.610538 0.000294 0.223053 0.000332 0.222000 0.660455 0.208127
    LiH -0.788315 0.000019 0.091986 0.000020 0.092430 -0.278642 0.012388
    N2 -19.943693 0.000729 0.361561 0.000760 0.364600 -1.907298 0.477133
    N2H4 -22.265700 0.000962 0.683554 0.000986 0.699600 -10.068869 0.618588
    NH -10.420721 0.000217 0.129651 0.000242 0.133500 -2.415160 0.152002
    NH2 -11.077790 0.000288 0.286717 0.000307 0.290400 -2.310806 0.192766
    NH3 -11.760358 0.000449 0.469282 0.000462 0.475500 -3.901685 0.289631
    NO -25.923592 0.000854 0.237593 0.000874 0.244500 -4.333962 0.548545
    Na2 -0.391055 0.000005 0.026768 0.000006 0.026800 -0.020205 0.003912
    NaCl -15.293398 0.000342 0.157958 0.000401 0.157400 0.349899 0.251619
    O2 -31.976905 0.001067 0.187040 0.001110 0.192400 -3.363144 0.696373
    OH -16.560082 0.000235 0.165146 0.000280 0.170200 -3.171243 0.175821
    P2 -13.116811 0.000986 0.176472 0.001008 0.186000 -5.978864 0.632247
    PH2 -7.712944 0.000335 0.242768 0.000351 0.244000 -0.772977 0.220325
    PH3 -8.352406 0.000430 0.382227 0.000442 0.389000 -4.250335 0.277514
    S2 -20.401970 0.001287 0.164103 0.001314 0.164000 0.064341 0.824779
    SO -26.211899 0.000713 0.198033 0.000742 0.200700 -1.673620 0.465348
    SO2 -42.321035 0.001403 0.412237 0.001442 0.414400 -1.357073 0.905064
    Si2 -7.643183 0.000914 0.115225 0.000920 0.121000 -3.623714 0.577273
    Si2H6 -11.372307 0.001113 0.844329 0.001118 0.849000 -2.930841 0.701582
    SiH21A1 -5.008728 0.000218 0.244743 0.000224 0.243000 1.093599 0.140808
    SiH23B1 -4.976426 0.000188 0.212441 0.000196 0.210000 1.531464 0.122724
    SiH3 -5.628312 0.000438 0.364323 0.000441 0.363000 0.829994 0.276744
    SiH4 -6.282931 0.000659 0.518938 0.000661 0.515000 2.471428 0.414901
    SiO -19.963617 0.001184 0.304706 0.001195 0.306700 -1.251553 0.749863
                2.30 0.60
  3. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.007279 0.000010           11
    C -5.423300 0.000028           142
    Cl -14.952683 0.000062           1745
    F -24.190436 0.000075           332
    H -0.499985 0.000011           1
    Li -0.196399 0.000005           1
    N -9.790924 0.000035           278
    Na -0.182137 0.000007           1
    O -15.894747 0.000067           369
    P -6.470037 0.000035           659
    S -10.119025 0.000035           1094
    Si -3.763903 0.000028           273
    BeH -1.588032 0.000589 0.080752 0.000589 0.079400 0.848293 0.369822 141
    C2H2 -12.496830 0.000139 0.650259 0.000151 0.642400 4.931311 0.094797 24583
    C2H4 -13.748335 0.000253 0.901793 0.000263 0.899000 1.752944 0.165097 48984
    C2H6 -14.985987 0.000354 1.139475 0.000364 1.136900 1.616022 0.228669 387245
    CH -6.057005 0.000034 0.133720 0.000045 0.133900 -0.113147 0.028276 1207
    CH21A1 -6.712121 0.000156 0.288850 0.000160 0.288900 -0.031542 0.100246 1463
    CH23B1 -6.728900 0.000059 0.305629 0.000069 0.304100 0.959761 0.043049 2609
    CH3 -7.415471 0.000072 0.492215 0.000084 0.490800 0.888074 0.052768 3357
    CH3Cl -22.505299 0.000372 0.629360 0.000380 0.631000 -1.029174 0.238397 401797
    CH4 -8.094962 0.000117 0.671721 0.000128 0.670300 0.891799 0.080400 27417
    CN -15.501002 0.000128 0.286778 0.000135 0.288800 -1.268868 0.085020 22915
    CO -21.732238 0.000207 0.414190 0.000220 0.413700 0.307489 0.137747 10430
    CO2 -37.834814 0.000405 0.622019 0.000427 0.621400 0.388267 0.268207 92560
    CS -15.813266 0.000148 0.270940 0.000154 0.274000 -1.920002 0.096742 149631
    Cl2 -29.998521 0.000254 0.093154 0.000283 0.094000 -0.530997 0.177333 188008
    ClF -39.237751 0.000529 0.094632 0.000538 0.100100 -3.431508 0.337383 46952
    ClO -30.946811 0.000668 0.099381 0.000675 0.104700 -3.337889 0.423311 87113
    F2 -48.431519 0.000442 0.050646 0.000466 0.062200 -7.250132 0.292662 8432
    H2CO -22.914978 0.000451 0.596960 0.000457 0.596700 0.163005 0.286691 43317
    H2O -17.256930 0.000133 0.362213 0.000150 0.371900 -6.078877 0.094134 1685
    H2O2 -33.202255 0.000303 0.412790 0.000332 0.429400 -10.422696 0.208441 91645
    H2S -11.408279 0.000096 0.289284 0.000105 0.292000 -1.704594 0.065613 5996
    H3COH -24.131103 0.000308 0.813114 0.000320 0.818700 -3.505144 0.200689 145275
    H3CSH -18.294959 0.000174 0.752693 0.000185 0.757000 -2.702788 0.116026 1661290
    HCN -16.213835 0.000178 0.499625 0.000183 0.496900 1.710061 0.115079 37520
    HCO -22.261112 0.000252 0.443079 0.000262 0.444700 -1.017257 0.164520 103416
    HCl -15.622819 0.000098 0.170150 0.000117 0.171000 -0.533467 0.073175 6332
    HF -24.907600 0.000195 0.217179 0.000209 0.226100 -5.598263 0.131401 1228
    HOCl -31.604134 0.000421 0.256718 0.000431 0.264700 -5.008728 0.270249 97849
    Li2 -0.431447 0.000021 0.038648 0.000024 0.038900 -0.157824 0.014916 11
    LiF -24.608673 0.000148 0.221837 0.000166 0.222000 -0.102139 0.104155 881
    LiH -0.788327 0.000040 0.091942 0.000041 0.092430 -0.306019 0.026010 11
    N2 -19.941389 0.000208 0.359541 0.000219 0.364600 -3.174437 0.137387 8914
    N2H4 -22.263237 0.000279 0.681449 0.000291 0.699600 -11.390179 0.182758 202086
    NH -10.420457 0.000137 0.129548 0.000142 0.133500 -2.479749 0.088842 1194
    NH2 -11.077395 0.000094 0.286500 0.000103 0.290400 -2.447085 0.064421 4200
    NH3 -11.759862 0.000048 0.468983 0.000068 0.475500 -4.089655 0.042624 6186
    NO -25.922931 0.000257 0.237260 0.000268 0.244500 -4.543008 0.168125 22374
    Na2 -0.391058 0.000020 0.026784 0.000024 0.026800 -0.010004 0.015159 11
    NaCl -15.292371 0.000103 0.157551 0.000121 0.157400 0.094553 0.075647 5758
    O2 -31.976012 0.000258 0.186517 0.000290 0.192400 -3.691362 0.181988 19081
    OH -16.560473 0.000068 0.165740 0.000096 0.170200 -2.798447 0.060214 1692
    P2 -13.118336 0.000191 0.178262 0.000204 0.186000 -4.855680 0.127801 220607
    PH2 -7.712593 0.000079 0.242586 0.000089 0.244000 -0.887604 0.055943 7371
    PH3 -8.351722 0.000110 0.381730 0.000120 0.389000 -4.562036 0.075358 25692
    S2 -20.398476 0.000149 0.160426 0.000164 0.164000 -2.242847 0.103092 1342830
    SO -26.210784 0.000392 0.197012 0.000399 0.200700 -2.314168 0.250272 145468
    SO2 -42.314560 0.000791 0.406040 0.000803 0.414400 -5.245835 0.504063 1389460
    Si2 -7.644133 0.000079 0.116326 0.000097 0.121000 -2.932796 0.060904 139264
    Si2H6 -11.378951 0.000240 0.851233 0.000256 0.849000 1.401391 0.160643 6730478
    SiH21A1 -5.008642 0.000074 0.244769 0.000083 0.243000 1.109872 0.051919 3641
    SiH23B1 -4.976342 0.000071 0.212469 0.000080 0.210000 1.549174 0.050184 4235
    SiH3 -5.627411 0.000065 0.363552 0.000079 0.363000 0.346558 0.049341 20069
    SiH4 -6.281142 0.000138 0.517298 0.000148 0.515000 1.442121 0.092620 41778
    SiO -19.963472 0.000273 0.304821 0.000282 0.306700 -1.178797 0.177217 26149
      2.46 0.18 -1.72 3.02 0.06      

2.6.6 \(\mu=1\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -1.004590       10
    C -5.426316       595
    Cl -14.950775       14342
    F -24.226718       2075
    H -0.500912       1
    Li -0.196167       1
    N -9.805482       1010
    Na -0.181859       1
    O -15.916920       2197
    P -6.468202       2442
    S -10.115949       10386
    Si -3.761555       1077
    BeH -1.581295 0.075793 0.079400 -2.263666 433
    C2H2 -12.488261 0.633806 0.642400 -5.392909 1724878
    C2H4 -13.740253 0.883973 0.899000 -9.429309 10195715
    C2H6 -14.974869 1.116766 1.136900 -12.634429 1342000
    CH -6.054007 0.126780 0.133900 -4.468142 8664
    CH21A1 -6.704677 0.276538 0.288900 -7.757554 21073
    CH23B1 -6.729974 0.301834 0.304100 -1.421740 17180
    CH3 -7.412471 0.483419 0.490800 -4.631504 53073
    CH3Cl -22.496305 0.616478 0.631000 -9.112655 12059155
    CH4 -8.089555 0.659591 0.670300 -6.719762 586258
    CN -15.498796 0.266998 0.288800 -13.681140 2339948
    CO -21.742030 0.398794 0.413700 -9.353728 825873
    CO2 -37.863440 0.603285 0.621400 -11.367516 10551823
    CS -15.804672 0.262407 0.274000 -7.274581 12788080
    Cl2 -29.989661 0.088111 0.094000 -3.695499 12649041
    ClF -39.264756 0.087263 0.100100 -8.055144 6058905
    ClO -30.958888 0.091193 0.104700 -8.475641 10688267
    F2 -48.490135 0.036699 0.062200 -16.002263 402515
    H2CO -22.924975 0.579915 0.596700 -10.532790 6396819
    H2O -17.270606 0.351863 0.371900 -12.573679 25915
    H2O2 -33.229068 0.393404 0.429400 -22.587767 13264605
    H2S -11.400389 0.282617 0.292000 -5.888208 201179
    H3COH -24.143007 0.796123 0.818700 -14.167006 13019016
    H3CSH -18.273976 0.728063 0.757000 -18.158141 1329615
    HCN -16.210057 0.477347 0.496900 -12.269523 1516119
    HCO -22.273743 0.429595 0.444700 -9.478440 11299202
    HCl -15.617871 0.166184 0.171000 -3.021801 104095
    HF -24.938806 0.211175 0.226100 -9.365274 10957
    HOCl -31.614009 0.245402 0.264700 -12.109566 13009384
    Li2 -0.430399 0.038065 0.038900 -0.523966 44
    LiF -24.638816 0.215931 0.222000 -3.808194 13044
    LiH -0.784321 0.087243 0.092430 -3.255145 41
    N2 -19.943468 0.332504 0.364600 -20.140693 788381
    N2H4 -22.267946 0.653334 0.699600 -29.032225 13887352
    NH -10.428705 0.122311 0.133500 -7.021327 9467
    NH2 -11.080938 0.273632 0.290400 -10.522195 60047
    NH3 -11.760796 0.452578 0.475500 -14.383571 202812
    NO -25.942374 0.219972 0.244500 -15.391587 1297991
    Na2 -0.389558 0.025840 0.026800 -0.602301 22
    NaCl -15.288006 0.155373 0.157400 -1.272018 97509
    O2 -32.010191 0.176351 0.192400 -10.071008 1576234
    OH -16.577892 0.160060 0.170200 -6.362841 11196
    P2 -13.106612 0.170208 0.186000 -9.909477 13592438
    PH2 -7.705149 0.235124 0.244000 -5.570016 242081
    PH3 -8.341888 0.370950 0.389000 -11.326691 1018764
    S2 -20.389652 0.157755 0.164000 -3.918892 18860200
    SO -26.222120 0.189251 0.200700 -7.184305 19459285
    SO2 -42.330625 0.380836 0.414400 -21.061450 10290826
    Si2 -7.636181 0.113070 0.121000 -4.976334 5101174
    Si2H6 -11.355831 0.827248 0.849000 -13.649441 1873959
    SiH21A1 -4.999600 0.236221 0.243000 -4.253971 48779
    SiH23B1 -4.971003 0.207623 0.210000 -1.491483 70543
    SiH3 -5.619455 0.355164 0.363000 -4.917347 475546
    SiH4 -6.270920 0.505717 0.515000 -5.825457 1594422
    SiO -19.969677 0.291202 0.306700 -9.725354 1660400
        9.06 -9.06 5.88  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.009333 0.000023 0.000000 0.000032       10
    C -5.429952 0.000254 0.000000 0.000360       595
    Cl -14.966696 0.000236 0.000000 0.000334       14342
    F -24.189361 0.000258 0.000000 0.000365       2075
    H -0.500004 0.000003 0.000000 0.000005       1
    Li -0.196327 0.000001 0.000000 0.000002       1
    N -9.796123 0.000634 0.000000 0.000896       1010
    Na -0.182143 0.000002 0.000000 0.000003       1
    O -15.897308 0.000167 0.000000 0.000236       2197
    P -6.474481 0.000451 0.000000 0.000638       2442
    S -10.128988 0.000160 0.000000 0.000226       10386
    Si -3.766828 0.000191 0.000000 0.000270       1077
    BeH -1.587760 0.000404 0.078422 0.000405 0.079400 -0.613625 0.254225 433
    C2H2 -12.501205 0.000477 0.641292 0.000697 0.642400 -0.695563 0.437438 1724878
    C2H4 -13.752980 0.001163 0.893057 0.001269 0.899000 -3.729083 0.796528 10195715
    C2H6 -14.986407 0.001131 1.126476 0.001240 1.136900 -6.541293 0.778411 1342000
    CH -6.063568 0.000138 0.133611 0.000289 0.133900 -0.181404 0.181661 8664
    CH21A1 -6.717705 0.000218 0.287744 0.000335 0.288900 -0.725514 0.210234 21073
    CH23B1 -6.731842 0.000180 0.301881 0.000312 0.304100 -1.392327 0.195630 17180
    CH3 -7.417017 0.000286 0.487052 0.000383 0.490800 -2.352058 0.240377 53073
    CH3Cl -22.512367 0.003390 0.615706 0.003407 0.631000 -9.597160 2.138213 12059155
    CH4 -8.095743 0.000843 0.665773 0.000881 0.670300 -2.840799 0.552812 586258
    CN -15.509921 0.002042 0.283845 0.002153 0.288800 -3.109134 1.351245 2339948
    CO -21.736593 0.002474 0.409333 0.002493 0.413700 -2.740306 1.564333 825873
    CO2 -37.834149 0.001030 0.609581 0.001112 0.621400 -7.416365 0.697814 10551823
    CS -15.829831 0.001401 0.270891 0.001432 0.274000 -1.951220 0.898880 12788080
    Cl2 -30.018175 0.001747 0.084783 0.001810 0.094000 -5.783619 1.135684 12649041
    ClF -39.255045 0.003115 0.098988 0.003134 0.100100 -0.697741 1.966796 6058905
    ClO -30.958774 0.001094 0.094771 0.001131 0.104700 -6.230738 0.709881 10688267
    F2 -48.423955 0.001149 0.045233 0.001259 0.062200 -10.646862 0.790293 402515
    H2CO -22.914273 0.002474 0.587004 0.002493 0.596700 -6.084427 1.564160 6396819
    H2O -17.257799 0.000249 0.360482 0.000300 0.371900 -7.164861 0.188259 25915
    H2O2 -33.201854 0.001451 0.407229 0.001489 0.429400 -13.912448 0.934071 13264605
    H2S -11.416652 0.000452 0.287655 0.000480 0.292000 -2.726256 0.300976 201179
    H3COH -24.100072 0.001474 0.772794 0.001505 0.818700 -28.806168 0.944554 13019016
    H3CSH -18.301426 0.001376 0.742468 0.001409 0.757000 -9.118962 0.884061 1329615
    HCN -16.222226 0.002577 0.496146 0.002666 0.496900 -0.473224 1.672950 1516119
    HCO -22.262605 0.002012 0.435340 0.002035 0.444700 -5.873355 1.277162 11299202
    HCl -15.635528 0.000529 0.168828 0.000580 0.171000 -1.362840 0.363821 104095
    HF -24.906637 0.000675 0.217271 0.000723 0.226100 -5.540270 0.453406 10957
    HOCl -31.612011 0.001290 0.248003 0.001322 0.264700 -10.477520 0.829696 13009384
    Li2 -0.431540 0.000021 0.038886 0.000021 0.038900 -0.008849 0.012984 44
    LiF -24.605932 0.000703 0.220244 0.000748 0.222000 -1.101968 0.469642 13044
    LiH -0.788442 0.000037 0.092110 0.000037 0.092430 -0.200593 0.023276 41
    N2 -19.949860 0.000510 0.357614 0.001366 0.364600 -4.383977 0.857123 788381
    N2H4 -22.272664 0.001553 0.680400 0.002005 0.699600 -12.048205 1.257986 13887352
    NH -10.425105 0.000181 0.128977 0.000659 0.133500 -2.837971 0.413506 9467
    NH2 -11.081505 0.000371 0.285373 0.000735 0.290400 -3.154370 0.460917 60047
    NH3 -11.761277 0.000333 0.465141 0.000716 0.475500 -6.500636 0.449305 202812
    NO -25.933701 0.002844 0.240270 0.002919 0.244500 -2.654498 1.831658 1297991
    Na2 -0.390864 0.000024 0.026578 0.000024 0.026800 -0.139466 0.015163 22
    NaCl -15.305524 0.000510 0.156685 0.000562 0.157400 -0.448759 0.352652 97509
    O2 -31.981433 0.003611 0.186818 0.003626 0.192400 -3.503007 2.275653 1576234
    OH -16.562215 0.000325 0.164903 0.000365 0.170200 -3.323968 0.229135 11196
    P2 -13.129317 0.000741 0.180355 0.001167 0.186000 -3.542582 0.732195 13592438
    PH2 -7.719066 0.000307 0.244576 0.000546 0.244000 0.361317 0.342375 242081
    PH3 -8.357136 0.000652 0.382641 0.000793 0.389000 -3.990083 0.497469 1018764
    S2 -20.416423 0.001144 0.158447 0.001188 0.164000 -3.484794 0.745671 18860200
    SO -26.220705 0.002360 0.194409 0.002372 0.200700 -3.947798 1.488270 19459285
    SO2 -42.313367 0.001371 0.389763 0.001420 0.414400 -15.459897 0.891301 10290826
    Si2 -7.646091 0.000638 0.112435 0.000744 0.121000 -5.374410 0.466847 5101174
    Si2H6 -11.383403 0.000714 0.849720 0.000810 0.849000 0.452119 0.508139 1873959
    SiH21A1 -5.011546 0.000151 0.244710 0.000243 0.243000 1.072803 0.152680 48779
    SiH23B1 -4.979101 0.000156 0.212264 0.000247 0.210000 1.420988 0.154720 70543
    SiH3 -5.630771 0.000326 0.363930 0.000378 0.363000 0.583770 0.236933 475546
    SiH4 -6.282083 0.000683 0.515237 0.000709 0.515000 0.148971 0.445190 1594422
    SiO -19.967377 0.002598 0.303241 0.002611 0.306700 -2.170380 1.638215 1660400
      4.38 0.94 -4.24 5.11 0.31      

2.6.7 FCI

  1. CIPSI
      Total E   Delta E   Reference Error  
      Hartree   Hartree   Hartree kcal/mol  
      ecal aecal aenr aediff Ndet    
    Be -1.008492 0.000096 0.000000 0.000136      
    C -5.428008 0.000013 0.000000 0.000018      
    Cl -14.946282 0.000006 0.000000 0.000008      
    F -24.163567 0.000015 0.000000 0.000022      
    H -0.499043 0.000000   0.000000      
    Li -0.196093 0.000000   0.000000      
    N -9.790978 0.000017 0.000000 0.000024      
    Na -0.181799 0.000000   0.000000      
    O -15.882573 0.000003 0.000000 0.000005      
    P -6.469736 0.000011 0.000000 0.000016      
    S -10.116024 0.000004 0.000000 0.000005      
    Si -3.763624 0.000004 0.000000 0.000006      
    BeH -1.581896 0.000006 0.074361 0.000096 0.079400 -3.161966 0.060369
    C2H2 -12.480026 0.000012 0.625924 0.000029 0.642400 -10.338930 0.018082
    C2H4 -13.728870 0.000006 0.876682 0.000027 0.899000 -14.004549 0.016869
    C2H6 -14.962048 0.000071 1.111774 0.000075 1.136900 -15.766666 0.047243
    CH -6.056891 0.000012 0.129840 0.000018 0.133900 -2.547402 0.011185
    CH21A1 -6.707051 0.000001 0.280957 0.000013 0.288900 -4.984375 0.008216
    CH23B1 -6.722856 0.000001 0.296762 0.000013 0.304100 -4.604681 0.008211
    CH3 -7.405038 0.000003 0.479901 0.000013 0.490800 -6.839150 0.008352
    CH3Cl -22.482202 0.000192 0.610783 0.000192 0.631000 -12.686100 0.120698
    CH4 -8.081441 0.000003 0.657261 0.000013 0.670300 -8.182009 0.008369
    CN -15.492696 0.000012 0.273709 0.000025 0.288800 -9.469446 0.015446
    CO -21.711419 0.000010 0.400838 0.000017 0.413700 -8.070933 0.010478
    CO2 -37.789127 0.000280 0.595973 0.000280 0.621400 -15.955684 0.175794
    CS -15.804633 0.000026 0.260602 0.000029 0.274000 -8.407530 0.018250
    Cl2 -29.976481 0.000134 0.083918 0.000134 0.094000 -6.326863 0.084129
    ClF -39.198263 0.000065 0.088414 0.000067 0.100100 -7.333314 0.042078
    ClO -30.920322 0.000119 0.091467 0.000119 0.104700 -8.303758 0.074797
    F2 -48.381050 0.000011 0.053916 0.000033 0.062200 -5.198481 0.020403
    H2CO -22.886870 0.000011 0.578203 0.000018 0.596700 -11.607272 0.011035
    H2O -17.232161 0.000002 0.351502 0.000004 0.371900 -12.799685 0.002568
    H2O2 -33.162975 0.000103 0.399743 0.000103 0.429400 -18.610108 0.064945
    H2S -11.396719 0.000001 0.282610 0.000004 0.292000 -5.892275 0.002478
    H3COH -24.097503 0.000398 0.790750 0.000399 0.818700 -17.539036 0.250143
    H3CSH -18.272893 0.000166 0.732690 0.000167 0.757000 -15.254781 0.104485
    HCN -16.197340 0.000001 0.479311 0.000021 0.496900 -11.037336 0.013463
    HCO -22.237063 0.000102 0.427439 0.000103 0.444700 -10.831638 0.064768
    HCl -15.610478 0.000005 0.165154 0.000008 0.171000 -3.668681 0.004717
    HF -24.874009 0.000000 0.211399 0.000015 0.226100 -9.225112 0.009632
    HOCl -31.572985 0.000036 0.245087 0.000037 0.264700 -12.307511 0.023157
    Li2 -0.431306 0.000048 0.039119 0.000048 0.038900 0.137726 0.029851
    LiF -24.572038 0.000009 0.212377 0.000018 0.222000 -6.038485 0.011269
    LiH -0.786051 0.000034 0.090914 0.000034 0.092430 -0.951129 0.021442
    N2 -19.925579 0.000008 0.343623 0.000035 0.364600 -13.163277 0.021925
    NH -10.414483 0.000006 0.124462 0.000018 0.133500 -5.671668 0.011214
    NH2 -11.064666 0.000004 0.275602 0.000017 0.290400 -9.286012 0.010906
    NH3 -11.741160 0.000000 0.453054 0.000017 0.475500 -14.085378 0.010649
    NO -25.900393 0.000020 0.226841 0.000026 0.244500 -11.080954 0.016437
    Na2 -0.390168 0.000066 0.026569 0.000066 0.026800 -0.144798 0.041560
    NaCl -15.276352 0.000004 0.148271 0.000007 0.157400 -5.728608 0.004347
    O2 -31.944180 0.000053 0.179034 0.000053 0.192400 -8.387280 0.033467
    OH -16.541732 0.000004 0.160116 0.000005 0.170200 -6.327848 0.003100
    P2 -13.105438 0.000014 0.165967 0.000026 0.186000 -12.571102 0.016616
    PH2 -7.704737 0.000000 0.236915 0.000011 0.244000 -4.445601 0.007088
    PH3 -8.340666 0.000004 0.373802 0.000012 0.389000 -9.536878 0.007448
    S2 -20.381825 0.000029 0.149778 0.000030 0.164000 -8.924422 0.018780
    SO -26.184583 0.000246 0.185987 0.000246 0.200700 -9.232806 0.154426
    SO2 -42.262457 0.000074 0.381287 0.000074 0.414400 -20.778582 0.046732
    Si2 -7.643107 0.004558 0.115858 0.004558 0.121000 -3.226625 2.860189
    Si2H6 -11.360066 0.000104 0.838559 0.000104 0.849000 -6.551537 0.065468
    SiH21A1 -5.002130 0.000004 0.240420 0.000006 0.243000 -1.619239 0.003653
    SiH23B1 -4.970075 0.000002 0.208365 0.000005 0.210000 -1.026192 0.002970
    SiH3 -5.618663 0.000006 0.357910 0.000008 0.363000 -3.193957 0.004849
    SiH4 -6.270622 0.000003 0.510826 0.000005 0.515000 -2.619390 0.003405
    SiO -19.937310 0.000003 0.291113 0.000006 0.306700 -9.781036 0.004031
      8.43 0.39 -8.43 4.87 0.07    

2.7 VQZ-BFD

2.7.1 CCSD(T)

  ecal aecal aenr aediff
  Hartree Hartree Hartree kcal/mol
Be -1.009630      
C -5.431625      
Cl -14.966606      
F -24.185858      
H -0.499916      
Li -0.196307      
N -9.798032      
Na -0.181980      
O -15.897220      
P -6.475063      
S -10.127554      
Si -3.766083      
BeH -1.588693 0.079148 0.079400 -0.158381
C2H2 -12.497962 0.634880 0.642400 -4.718627
C2H4 -13.748624 0.885711 0.899000 -8.338980
C2H6 -14.983956 1.121211 1.136900 -9.844858
CH -6.063322 0.131782 0.133900 -1.329284
CH21A1 -6.715727 0.284271 0.288900 -2.905053
CH23B1 -6.730719 0.299262 0.304100 -3.035889
CH3 -7.415146 0.483774 0.490800 -4.409049
CH3Cl -22.517441 0.619462 0.631000 -7.240005
CH4 -8.093188 0.661900 0.670300 -5.271213
CN -15.508665 0.279009 0.288800 -6.143988
CO -21.737434 0.408590 0.413700 -3.206882
CO2 -37.835937 0.609872 0.621400 -7.233662
CS -15.827248 0.268069 0.274000 -3.721846
Cl2 -30.024045 0.090834 0.094000 -1.986971
ClF -39.248024 0.095561 0.100100 -2.848329
ClO -30.962404 0.098578 0.104700 -3.841333
F2 -48.429318 0.057603 0.062200 -2.884515
H2CO -22.915905 0.587228 0.596700 -5.943614
H2O -17.255568 0.358516 0.371900 -8.398330
H2O2 -33.205024 0.410751 0.429400 -11.702127
H2S -11.415620 0.288234 0.292000 -2.363501
H3COH -24.130100 0.801592 0.818700 -10.735687
H3CSH -18.302410 0.743567 0.757000 -8.429457
HCN -16.218749 0.489177 0.496900 -4.846491
HCO -22.263922 0.435162 0.444700 -5.985318
HCl -15.635201 0.168679 0.171000 -1.456303
HF -24.901984 0.216210 0.226100 -6.205772
HOCl -31.618416 0.254674 0.264700 -6.291255
Li2 -0.431450 0.038836 0.038900 -0.040420
LiF -24.599303 0.217138 0.222000 -3.050674
LiH -0.787778 0.091555 0.092430 -0.549226
N2 -19.950557 0.354494 0.364600 -6.341628
N2H4 -22.265923 0.670196 0.699600 -18.451185
NH -10.425746 0.127799 0.133500 -3.577669
NH2 -11.079649 0.281785 0.290400 -5.405904
NH3 -11.759160 0.461381 0.475500 -8.859937
NO -25.930152 0.234900 0.244500 -6.024226
Na2 -0.390679 0.026719 0.026800 -0.050912
NaCl -15.302335 0.153750 0.157400 -2.290587
O2 -31.979613 0.185173 0.192400 -4.535157
OH -16.561506 0.164370 0.170200 -3.658685
P2 -13.127173 0.177047 0.186000 -5.618317
PH2 -7.716932 0.242037 0.244000 -1.231855
PH3 -8.355575 0.380764 0.389000 -5.167860
S2 -20.413971 0.158863 0.164000 -3.223716
SO -26.220100 0.195325 0.200700 -3.372844
SO2 -42.326303 0.404308 0.414400 -6.332828
Si2 -7.650055 0.117888 0.121000 -1.952632
Si2H6 -11.382209 0.850547 0.849000 0.970490
SiH21A1 -5.010012 0.244097 0.243000 0.688283
SiH23B1 -4.977435 0.211520 0.210000 0.953656
SiH3 -5.628432 0.362600 0.363000 -0.250802
SiH4 -6.282376 0.516629 0.515000 1.022373
SiO -19.964702 0.301399 0.306700 -3.326636
    4.52 -4.38 3.60

2.7.2 DFT

  1. PBE
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.996113      
    C -5.419470      
    Cl -14.944710      
    F -24.193963      
    H -0.499094      
    Li -0.200892      
    N -9.787765      
    Na -0.187644      
    O -15.900388      
    P -6.463886      
    S -10.113756      
    Si -3.765284      
    BeH -1.585461 0.090254 0.079400 6.810859
    C2H2 -12.488592 0.651463 0.642400 5.686932
    C2H4 -13.736782 0.901463 0.899000 1.545791
    C2H6 -14.966450 1.132943 1.136900 -2.483005
    CH -6.052660 0.134095 0.133900 0.122198
    CH21A1 -6.698745 0.281086 0.288900 -4.903179
    CH23B1 -6.729359 0.311700 0.304100 4.768983
    CH3 -7.409139 0.492385 0.490800 0.994623
    CH3Cl -22.491130 0.629667 0.631000 -0.836418
    CH4 -8.080418 0.664570 0.670300 -3.595759
    CN -15.511957 0.304722 0.288800 9.991015
    CO -21.735759 0.415900 0.413700 1.380417
    CO2 -37.861779 0.641531 0.621400 12.632694
    CS -15.811579 0.278352 0.274000 2.731125
    Cl2 -29.992204 0.102785 0.094000 5.512432
    ClF -39.248033 0.109360 0.100100 5.811056
    ClO -30.967368 0.122270 0.104700 11.025649
    F2 -48.459866 0.071941 0.062200 6.112297
    H2CO -22.920021 0.601974 0.596700 3.309249
    H2O -17.255624 0.357046 0.371900 -9.320794
    H2O2 -33.220408 0.421442 0.429400 -4.993414
    H2S -11.398268 0.286323 0.292000 -3.562416
    H3COH -24.127495 0.811259 0.818700 -4.669484
    H3CSH -18.282355 0.752751 0.757000 -2.666170
    HCN -16.213545 0.507216 0.496900 6.473084
    HCO -22.275067 0.456114 0.444700 7.162174
    HCl -15.610589 0.166785 0.171000 -2.645028
    HF -24.907159 0.214102 0.226100 -7.528823
    HOCl -31.610199 0.266007 0.264700 0.820118
    Li2 -0.428778 0.026993 0.038900 -7.471700
    LiF -24.608982 0.214127 0.222000 -4.940238
    LiH -0.783966 0.083979 0.092430 -5.303148
    N2 -19.947513 0.371984 0.364600 4.633387
    N2H4 -22.264991 0.693084 0.699600 -4.088952
    NH -10.425731 0.138871 0.133500 3.370565
    NH2 -11.079235 0.293282 0.290400 1.808213
    NH3 -11.753182 0.468134 0.475500 -4.622301
    NO -25.946807 0.258654 0.244500 8.881465
    Na2 -0.394252 0.018964 0.026800 -4.917279
    NaCl -15.279954 0.147600 0.157400 -6.149729
    O2 -32.012615 0.211838 0.192400 12.197753
    OH -16.566564 0.167082 0.170200 -1.956880
    P2 -13.119844 0.192073 0.186000 3.810736
    PH2 -7.709285 0.247210 0.244000 2.014502
    PH3 -8.342126 0.380957 0.389000 -5.046939
    S2 -20.407875 0.180363 0.164000 10.267925
    SO -26.230786 0.216642 0.200700 10.003855
    SO2 -42.348182 0.433649 0.414400 12.079208
    Si2 -7.658985 0.128417 0.121000 4.654209
    Si2H6 -11.352960 0.827826 0.849000 -13.286890
    SiH21A1 -4.999649 0.236176 0.243000 -4.281950
    SiH23B1 -4.975344 0.211872 0.210000 1.174493
    SiH3 -5.618258 0.355690 0.363000 -4.586834
    SiH4 -6.262304 0.500642 0.515000 -9.009586
    SiO -19.969823 0.304150 0.306700 -1.599921
        5.31 0.79 6.27
  2. BLYP
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.991021      
    C -5.412598      
    Cl -14.919841      
    F -24.196641      
    H -0.496668      
    Li -0.196523      
    N -9.774215      
    Na -0.183513      
    O -15.896302      
    P -6.436362      
    S -10.088113      
    Si -3.746117      
    BeH -1.581105 0.093416 0.079400 8.794900
    C2H2 -12.444933 0.626402 0.642400 -10.039185
    C2H4 -13.685815 0.873948 0.899000 -15.720380
    C2H6 -14.907022 1.101818 1.136900 -22.014161
    CH -6.043997 0.134732 0.133900 0.521937
    CH21A1 -6.687178 0.281244 0.288900 -4.804164
    CH23B1 -6.706316 0.300382 0.304100 -2.333016
    CH3 -7.385337 0.482736 0.490800 -5.060413
    CH3Cl -22.429883 0.607440 0.631000 -14.784249
    CH4 -8.052982 0.653713 0.670300 -10.408709
    CN -15.475762 0.288949 0.288800 0.093706
    CO -21.708370 0.399470 0.413700 -8.929264
    CO2 -37.811066 0.605864 0.621400 -9.748869
    CS -15.763990 0.263279 0.274000 -6.727259
    Cl2 -29.928995 0.089312 0.094000 -2.941646
    ClF -39.215763 0.099281 0.100100 -0.514109
    ClO -30.926204 0.110061 0.104700 3.364026
    F2 -48.459108 0.065827 0.062200 2.275710
    H2CO -22.884610 0.582374 0.596700 -8.989620
    H2O -17.241272 0.351634 0.371900 -12.717165
    H2O2 -33.194243 0.408302 0.429400 -13.238958
    H2S -11.365291 0.283842 0.292000 -5.119299
    H3COH -24.084315 0.788744 0.818700 -18.797902
    H3CSH -18.217455 0.730072 0.757000 -16.897596
    HCN -16.175282 0.491801 0.496900 -3.199774
    HCO -22.242930 0.437362 0.444700 -4.604523
    HCl -15.579836 0.163327 0.171000 -4.814990
    HF -24.903739 0.210430 0.226100 -9.832805
    HOCl -31.565360 0.252548 0.264700 -7.625330
    Li2 -0.423060 0.030014 0.038900 -5.575805
    LiF -24.608480 0.215317 0.222000 -4.193856
    LiH -0.786232 0.093041 0.092430 0.383328
    N2 -19.912735 0.364304 0.364600 -0.185701
    N2H4 -22.214434 0.679331 0.699600 -12.718722
    NH -10.410820 0.139936 0.133500 4.038817
    NH2 -11.060764 0.293212 0.290400 1.764813
    NH3 -11.729136 0.464916 0.475500 -6.641279
    NO -25.917673 0.247156 0.244500 1.666632
    Na2 -0.388370 0.021343 0.026800 -3.424291
    NaCl -15.250389 0.147034 0.157400 -6.504637
    O2 -31.987788 0.195183 0.192400 1.746637
    OH -16.558490 0.165520 0.170200 -2.936645
    P2 -13.062675 0.189951 0.186000 2.479422
    PH2 -7.681612 0.251914 0.244000 4.966423
    PH3 -8.312789 0.386423 0.389000 -1.616968
    S2 -20.342707 0.166480 0.164000 1.556511
    SO -26.188802 0.204387 0.200700 2.313621
    SO2 -42.287717 0.407000 0.414400 -4.643549
    Si2 -7.612194 0.119959 0.121000 -0.652987
    Si2H6 -11.307383 0.835140 0.849000 -8.697220
    SiH21A1 -4.983426 0.243973 0.243000 0.610412
    SiH23B1 -4.951731 0.212278 0.210000 1.429302
    SiH3 -5.598245 0.362124 0.363000 -0.549741
    SiH4 -6.244183 0.511393 0.515000 -2.263286
    SiO -19.943358 0.300938 0.306700 -3.615500
        5.86 -4.47 6.43
  3. PBE0
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -0.997452      
    C -5.422029      
    Cl -14.950878      
    F -24.192415      
    H -0.500774      
    Li -0.201291      
    N -9.792066      
    Na -0.187727      
    O -15.900799      
    P -6.467975      
    S -10.118676      
    Si -3.766609      
    BeH -1.588594 0.090369 0.079400 6.883073
    C2H2 -12.485145 0.639540 0.642400 -1.794676
    C2H4 -13.740661 0.893509 0.899000 -3.445750
    C2H6 -14.978721 1.130021 1.136900 -4.316348
    CH -6.054538 0.131735 0.133900 -1.358557
    CH21A1 -6.701849 0.278273 0.288900 -6.668662
    CH23B1 -6.734346 0.310770 0.304100 4.185512
    CH3 -7.415620 0.491270 0.490800 0.295188
    CH3Cl -22.499556 0.624328 0.631000 -4.186577
    CH4 -8.088442 0.663318 0.670300 -4.381238
    CN -15.493699 0.279605 0.288800 -5.769987
    CO -21.722253 0.399425 0.413700 -8.957910
    CO2 -37.833733 0.610105 0.621400 -7.087414
    CS -15.803592 0.262888 0.274000 -6.972920
    Cl2 -29.995791 0.094036 0.094000 0.022690
    ClF -39.236734 0.093441 0.100100 -4.178380
    ClO -30.954652 0.102975 0.104700 -1.082362
    F2 -48.430335 0.045504 0.062200 -10.476798
    H2CO -22.909527 0.585152 0.596700 -7.246535
    H2O -17.250915 0.348568 0.371900 -14.640869
    H2O2 -33.199395 0.396249 0.429400 -20.802315
    H2S -11.403814 0.283591 0.292000 -5.276874
    H3COH -24.125892 0.799969 0.818700 -11.754054
    H3CSH -18.291108 0.747309 0.757000 -6.081038
    HCN -16.202675 0.487807 0.496900 -5.706188
    HCO -22.260629 0.437027 0.444700 -4.814763
    HCl -15.616600 0.164948 0.171000 -3.797412
    HF -24.901005 0.207816 0.226100 -11.473292
    HOCl -31.601767 0.249317 0.264700 -9.653257
    Li2 -0.429768 0.027186 0.038900 -7.350531
    LiF -24.598395 0.204688 0.222000 -10.863154
    LiH -0.785007 0.082943 0.092430 -5.953161
    N2 -19.932145 0.348013 0.364600 -10.408226
    N2H4 -22.261313 0.674087 0.699600 -16.009406
    NH -10.427051 0.134212 0.133500 0.446761
    NH2 -11.079782 0.286169 0.290400 -2.654784
    NH3 -11.754277 0.459890 0.475500 -9.795326
    NO -25.926359 0.233495 0.244500 -6.906061
    Na2 -0.394385 0.018931 0.026800 -4.937734
    NaCl -15.284925 0.146320 0.157400 -6.952581
    O2 -31.987936 0.186337 0.192400 -3.804315
    OH -16.563529 0.161956 0.170200 -5.173102
    P2 -13.112544 0.176594 0.186000 -5.902083
    PH2 -7.714100 0.244578 0.244000 0.362752
    PH3 -8.348230 0.377934 0.389000 -6.943844
    S2 -20.405906 0.168555 0.164000 2.858570
    SO -26.217245 0.197770 0.200700 -1.838761
    SO2 -42.317092 0.396818 0.414400 -11.033038
    Si2 -7.655617 0.122398 0.121000 0.877309
    Si2H6 -11.369931 0.832069 0.849000 -10.624086
    SiH21A1 -5.003141 0.234985 0.243000 -5.029784
    SiH23B1 -4.980327 0.212170 0.210000 1.361798
    SiH3 -5.626105 0.357174 0.363000 -3.655693
    SiH4 -6.272909 0.503205 0.515000 -7.401532
    SiO -19.953249 0.285840 0.306700 -13.089596
        6.28 -5.65 5.08
  4. B3LYP
      ecal aecal aenr aediff
      Hartree Hartree Hartree kcal/mol
    Be -1.001255      
    C -5.432926      
    Cl -14.960683      
    F -24.226982      
    H -0.501546      
    Li -0.200648      
    N -9.801448      
    Na -0.187270      
    O -15.923588      
    P -6.464937      
    S -10.122374      
    Si -3.766700      
    BeH -1.596944 0.094142 0.079400 9.250975
    C2H2 -12.496314 0.627370 0.642400 -9.431554
    C2H4 -13.753737 0.881700 0.899000 -10.856141
    C2H6 -14.992301 1.117171 1.136900 -12.379953
    CH -6.069189 0.134717 0.133900 0.512485
    CH21A1 -6.719706 0.283687 0.288900 -3.271109
    CH23B1 -6.739885 0.303866 0.304100 -0.146864
    CH3 -7.425926 0.488361 0.490800 -1.530256
    CH3Cl -22.512309 0.614061 0.631000 -10.629428
    CH4 -8.101321 0.662210 0.670300 -5.076642
    CN -15.508332 0.273958 0.288800 -9.313486
    CO -21.750271 0.393758 0.413700 -12.514055
    CO2 -37.874378 0.594277 0.621400 -17.019776
    CS -15.811994 0.256694 0.274000 -10.859752
    Cl2 -30.007877 0.086511 0.094000 -4.699652
    ClF -39.279276 0.091611 0.100100 -5.327128
    ClO -30.983992 0.099721 0.104700 -3.124255
    F2 -48.503861 0.049897 0.062200 -7.720035
    H2CO -22.939619 0.580012 0.596700 -10.471684
    H2O -17.278376 0.351695 0.371900 -12.678768
    H2O2 -33.249734 0.399465 0.429400 -18.784350
    H2S -11.412149 0.286682 0.292000 -3.337173
    H3COH -24.157150 0.794451 0.818700 -15.216770
    H3CSH -18.300357 0.738872 0.757000 -11.375799
    HCN -16.220379 0.484459 0.496900 -7.807004
    HCO -22.288737 0.430677 0.444700 -8.799560
    HCl -15.627044 0.164814 0.171000 -3.881629
    HF -24.938080 0.209552 0.226100 -10.384114
    HOCl -31.632890 0.247073 0.264700 -11.061366
    Li2 -0.432372 0.031075 0.038900 -4.910377
    LiF -24.639077 0.211447 0.222000 -6.622126
    LiH -0.795699 0.093504 0.092430 0.673966
    N2 -19.954026 0.351129 0.364600 -8.453201
    N2H4 -22.286544 0.677462 0.699600 -13.891975
    NH -10.440530 0.137535 0.133500 2.531993
    NH2 -11.096101 0.291560 0.290400 0.727848
    NH3 -11.771877 0.465789 0.475500 -6.093546
    NO -25.958333 0.233297 0.244500 -7.030061
    Na2 -0.396700 0.022161 0.026800 -2.911108
    NaCl -15.296696 0.148743 0.157400 -5.432173
    O2 -32.028914 0.181739 0.192400 -6.689986
    OH -16.589610 0.164476 0.170200 -3.592173
    P2 -13.111363 0.181489 0.186000 -2.830788
    PH2 -7.721268 0.253238 0.244000 5.796902
    PH3 -8.359389 0.389813 0.389000 0.510226
    S2 -20.406242 0.161494 0.164000 -1.572441
    SO -26.240935 0.194973 0.200700 -3.593513
    SO2 -42.359666 0.390116 0.414400 -15.238359
    Si2 -7.651391 0.117991 0.121000 -1.887894
    Si2H6 -11.393669 0.850991 0.849000 1.249087
    SiH21A1 -5.016390 0.246597 0.243000 2.257138
    SiH23B1 -4.985386 0.215594 0.210000 3.510128
    SiH3 -5.639377 0.368038 0.363000 3.161610
    SiH4 -6.292994 0.520108 0.515000 3.205273
    SiO -19.982273 0.291986 0.306700 -9.233249
        6.75 -5.53 6.09

2.7.3 \(\mu=0\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.996113       5
    C -5.415582       7
    Cl -14.941294       15
    F -24.190210       6
    H -0.498770       1
    Li -0.200729       1
    N -9.783480       6
    Na -0.187500       1
    O -15.894959       9
    P -6.462693       6
    S -10.109762       19
    Si -3.762672       9
    BeH -1.583115 0.088232 0.079400 5.541972 12
    C2H2 -12.488328 0.659624 0.642400 10.808245 47
    C2H4 -13.736638 0.910393 0.899000 7.149120 95
    C2H6 -14.966045 1.142260 1.136900 3.363185 95
    CH -6.048946 0.134595 0.133900 0.435808 18
    CH21A1 -6.698453 0.285331 0.288900 -2.239894 23
    CH23B1 -6.721641 0.308519 0.304100 2.772746 17
    CH3 -7.405463 0.493570 0.490800 1.738166 17
    CH3Cl -22.490905 0.637718 0.631000 4.215912 191
    CH4 -8.080312 0.669649 0.670300 -0.408667 23
    CN -15.507119 0.308057 0.288800 12.084231 119
    CO -21.735532 0.424992 0.413700 7.085892 47
    CO2 -37.861631 0.656132 0.621400 21.794739 95
    CS -15.811131 0.285787 0.274000 7.396201 47
    Cl2 -29.991930 0.109342 0.094000 9.627435 47
    ClF -39.247872 0.116368 0.100100 10.208333 95
    ClO -30.963320 0.127067 0.104700 14.035822 154
    F2 -48.459420 0.079000 0.062200 10.541862 11
    H2CO -22.919626 0.611545 0.596700 9.315159 95
    H2O -17.255335 0.362836 0.371900 -5.687902 11
    H2O2 -33.220095 0.432637 0.429400 2.031210 95
    H2S -11.398296 0.290993 0.292000 -0.631958 47
    H3COH -24.128034 0.822412 0.818700 2.329429 383
    H3CSH -18.281264 0.760838 0.757000 2.408673 383
    HCN -16.213189 0.515356 0.496900 11.581428 47
    HCO -22.271978 0.462668 0.444700 11.275066 107
    HCl -15.610265 0.170201 0.171000 -0.501417 23
    HF -24.906845 0.217864 0.226100 -5.168297 5
    HOCl -31.609821 0.274799 0.264700 6.336979 191
    Li2 -0.428651 0.027192 0.038900 -7.346835 5
    LiF -24.608638 0.217698 0.222000 -2.699415 23
    LiH -0.783831 0.084331 0.092430 -5.081944 5
    N2 -19.947110 0.380149 0.364600 9.757363 11
    N2H4 -22.265074 0.703032 0.699600 2.153374 191
    NH -10.420125 0.137874 0.133500 2.744896 9
    NH2 -11.075337 0.294316 0.290400 2.457367 17
    NH3 -11.753018 0.473227 0.475500 -1.426539 11
    NO -25.943564 0.265125 0.244500 12.942112 39
    Na2 -0.393863 0.018862 0.026800 -4.980927 5
    NaCl -15.279741 0.150947 0.157400 -4.049106 47
    O2 -32.007136 0.217219 0.192400 15.574170 19
    OH -16.562626 0.168897 0.170200 -0.817527 7
    P2 -13.119641 0.194256 0.186000 5.180530 47
    PH2 -7.705612 0.245379 0.244000 0.865167 75
    PH3 -8.341991 0.382987 0.389000 -3.773112 95
    S2 -20.404837 0.185312 0.164000 13.373657 91
    SO -26.226737 0.222016 0.200700 13.375968 137
    SO2 -42.347928 0.448248 0.414400 21.240017 190
    Si2 -7.653149 0.127804 0.121000 4.269585 71
    Si2H6 -11.351844 0.833877 0.849000 -9.490093 191
    SiH21A1 -4.999333 0.239120 0.243000 -2.435017 47
    SiH23B1 -4.969709 0.209496 0.210000 -0.316282 69
    SiH3 -5.614626 0.355642 0.363000 -4.617318 122
    SiH4 -6.262873 0.505119 0.515000 -6.200410 95
    SiO -19.969703 0.312072 0.306700 3.370795 95
        6.35 3.88 7.20  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -0.998257 0.000053 0.000000 0.000075       5
    C -5.416982 0.000100 0.000000 0.000142       7
    Cl -14.941523 0.000161 0.000000 0.000228       15
    F -24.189470 0.000252 0.000000 0.000356       6
    H -0.500003 0.000003 0.000000 0.000004       1
    Li -0.196353 0.000001 0.000000 0.000001       1
    N -9.789185 0.000093 0.000000 0.000132       6
    Na -0.182093 0.000011 0.000000 0.000016       1
    O -15.893033 0.000140 0.000000 0.000197       9
    P -6.462550 0.000105 0.000000 0.000148       6
    S -10.108931 0.000147 0.000000 0.000208       19
    Si -3.758660 0.000096 0.000000 0.000135       9
    BeH -1.588246 0.000084 0.089987 0.000099 0.079400 6.643330 0.062381 12
    C2H2 -12.491964 0.000440 0.657994 0.000483 0.642400 9.785361 0.303235 47
    C2H4 -13.744427 0.000251 0.910452 0.000322 0.899000 7.186096 0.202087 95
    C2H6 -14.986022 0.000351 1.152040 0.000405 1.136900 9.500747 0.253828 95
    CH -6.050004 0.000152 0.133019 0.000182 0.133900 -0.552744 0.114077 18
    CH21A1 -6.705378 0.000195 0.288390 0.000219 0.288900 -0.319736 0.137646 23
    CH23B1 -6.726726 0.000187 0.309738 0.000212 0.304100 3.538175 0.133286 17
    CH3 -7.414007 0.000222 0.497017 0.000244 0.490800 3.901101 0.152954 17
    CH3Cl -22.495070 0.000373 0.636557 0.000419 0.631000 3.486858 0.262726 191
    CH4 -8.094375 0.000303 0.677381 0.000319 0.670300 4.443631 0.200209 23
    CN -15.490216 0.000461 0.284049 0.000481 0.288800 -2.981091 0.302079 119
    CO -21.725909 0.000482 0.415893 0.000512 0.413700 1.376401 0.321142 47
    CO2 -37.831330 0.000385 0.628281 0.000486 0.621400 4.317775 0.305191 95
    CS -15.797010 0.000397 0.271097 0.000435 0.274000 -1.821748 0.272866 47
    Cl2 -29.976935 0.000242 0.093889 0.000403 0.094000 -0.069604 0.253162 47
    ClF -39.228659 0.000390 0.097667 0.000492 0.100100 -1.527010 0.308621 95
    ClO -30.934421 0.000293 0.099865 0.000362 0.104700 -3.034285 0.227314 154
    F2 -48.429157 0.000362 0.050217 0.000621 0.062200 -7.519357 0.389442 11
    H2CO -22.910746 0.000299 0.600725 0.000345 0.596700 2.525867 0.216443 95
    H2O -17.258069 0.000281 0.365030 0.000313 0.371900 -4.310869 0.196661 11
    H2O2 -33.200067 0.000342 0.413994 0.000441 0.429400 -9.667135 0.276916 95
    H2S -11.399427 0.000293 0.290491 0.000328 0.292000 -0.946842 0.205642 47
    H3COH -24.131705 0.000519 0.821679 0.000547 0.818700 1.869087 0.343160 383
    H3CSH -18.286397 0.000402 0.760473 0.000440 0.757000 2.179309 0.276279 383
    HCN -16.208257 0.000508 0.502087 0.000526 0.496900 3.254822 0.329929 47
    HCO -22.255600 0.000234 0.445582 0.000290 0.444700 0.553312 0.182042 107
    HCl -15.612188 0.000262 0.170662 0.000308 0.171000 -0.211815 0.193041 23
    HF -24.909398 0.000327 0.219925 0.000412 0.226100 -3.874563 0.258821 5
    HOCl -31.593907 0.000403 0.259348 0.000456 0.264700 -3.358706 0.286314 191
    Li2 -0.427836 0.000061 0.035130 0.000061 0.038900 -2.366012 0.038336 5
    LiF -24.609450 0.000421 0.223627 0.000491 0.222000 1.021071 0.308070 23
    LiH -0.788011 0.000060 0.091655 0.000060 0.092430 -0.486213 0.037934 5
    N2 -19.935320 0.000390 0.356951 0.000433 0.364600 -4.799910 0.271597 11
    N2H4 -22.263537 0.000345 0.685156 0.000393 0.699600 -9.063858 0.246605 191
    NH -10.419103 0.000148 0.129915 0.000175 0.133500 -2.249665 0.110000 9
    NH2 -11.076262 0.000210 0.287071 0.000230 0.290400 -2.088887 0.144120 17
    NH3 -11.759717 0.000253 0.470523 0.000270 0.475500 -3.122881 0.169593 11
    NO -25.917224 0.000550 0.235006 0.000575 0.244500 -5.957526 0.361063 39
    Na2 -0.391522 0.000067 0.027336 0.000071 0.026800 0.336293 0.044569 5
    NaCl -15.282153 0.000326 0.158537 0.000364 0.157400 0.713729 0.228455 47
    O2 -31.970663 0.000677 0.184596 0.000732 0.192400 -4.897096 0.459369 19
    OH -16.560230 0.000229 0.167193 0.000268 0.170200 -1.886629 0.168473 7
    P2 -13.101963 0.000428 0.176863 0.000476 0.186000 -5.733488 0.298765 47
    PH2 -7.705725 0.000325 0.243170 0.000341 0.244000 -0.521042 0.214293 75
    PH3 -8.346554 0.000460 0.383995 0.000472 0.389000 -3.140509 0.296216 95
    S2 -20.381617 0.000577 0.163756 0.000648 0.164000 -0.153240 0.406610 91
    SO -26.203097 0.000227 0.201133 0.000304 0.200700 0.271627 0.190877 137
    SO2 -42.310663 0.000660 0.415665 0.000732 0.414400 0.794017 0.459321 190
    Si2 -7.634119 0.000349 0.116800 0.000398 0.121000 -2.635619 0.249912 71
    Si2H6 -11.375782 0.000540 0.858445 0.000573 0.849000 5.927013 0.359364 191
    SiH21A1 -5.003925 0.000286 0.245260 0.000302 0.243000 1.418044 0.189294 47
    SiH23B1 -4.972627 0.000261 0.213961 0.000278 0.210000 2.485693 0.174270 69
    SiH3 -5.625108 0.000419 0.366440 0.000430 0.363000 2.158357 0.269574 122
    SiH4 -6.279824 0.000455 0.521153 0.000465 0.515000 3.861238 0.291920 95
    SiO -19.956758 0.000627 0.305065 0.000650 0.306700 -1.025872 0.407693 95
      3.16 0.26 -0.12 4.119 0.025      

2.7.4 \(\mu=1/4\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.995133       42
    C -5.418574       5
    Cl -14.940577       124
    F -24.192413       8
    H -0.500154       1
    Li -0.199046       1
    N -9.788884       5
    Na -0.184711       1
    O -15.896924       6
    P -6.462873       91
    S -10.109115       144
    Si -3.760778       65
    BeH -1.585287 0.089999 0.079400 6.651146 19
    C2H2 -12.490143 0.652687 0.642400 6.454958 569
    C2H4 -13.739967 0.902201 0.899000 2.008897 2140
    C2H6 -14.973563 1.135490 1.136900 -0.885053 5884
    CH -6.050076 0.131348 0.133900 -1.601662 59
    CH21A1 -6.699553 0.280670 0.288900 -5.164125 120
    CH23B1 -6.724838 0.305955 0.304100 1.164258 79
    CH3 -7.408267 0.489230 0.490800 -0.985183 328
    CH3Cl -22.491578 0.631964 0.631000 0.605081 10875
    CH4 -8.083269 0.664078 0.670300 -3.904097 515
    CN -15.503126 0.295668 0.288800 4.309557 721
    CO -21.740138 0.424640 0.413700 6.864805 340
    CO2 -37.865186 0.652764 0.621400 19.680965 1846
    CS -15.805438 0.277750 0.274000 2.352969 1350
    Cl2 -29.986173 0.105019 0.094000 6.914315 1326
    ClF -39.248441 0.115450 0.100100 9.632539 829
    ClO -30.960447 0.122946 0.104700 11.449436 1504
    F2 -48.462443 0.077616 0.062200 9.673703 26
    H2CO -22.923565 0.607758 0.596700 6.939081 1382
    H2O -17.259107 0.361874 0.371900 -6.291285 23
    H2O2 -33.225897 0.431740 0.429400 1.468151 2870
    H2S -11.395256 0.285833 0.292000 -3.869862 345
    H3COH -24.135671 0.819556 0.818700 0.537234 12607
    H3CSH -18.282185 0.753880 0.757000 -1.957882 38269
    HCN -16.215047 0.507435 0.496900 6.610525 781
    HCO -22.275088 0.459436 0.444700 9.246837 1986
    HCl -15.608648 0.167917 0.171000 -1.934630 290
    HF -24.910577 0.218010 0.226100 -5.076654 5
    HOCl -31.610886 0.273230 0.264700 5.352862 8312
    Li2 -0.427563 0.029470 0.038900 -5.917275 25
    LiF -24.614436 0.222976 0.222000 0.612559 23
    LiH -0.785150 0.085949 0.092430 -4.066948 1
    N2 -19.950249 0.372482 0.364600 4.946099 200
    N2H4 -22.272004 0.693620 0.699600 -3.752678 13079
    NH -10.421403 0.132365 0.133500 -0.712094 16
    NH2 -11.077264 0.288072 0.290400 -1.460914 156
    NH3 -11.756540 0.467194 0.475500 -5.212386 398
    NO -25.946883 0.261075 0.244500 10.400909 241
    Na2 -0.390791 0.021369 0.026800 -3.408245 55
    NaCl -15.280424 0.155136 0.157400 -1.420803 2934
    O2 -32.009793 0.215944 0.192400 14.774394 137
    OH -16.564845 0.167766 0.170200 -1.527230 8
    P2 -13.105693 0.179947 0.186000 -3.798549 1599
    PH2 -7.702278 0.239097 0.244000 -3.076867 352
    PH3 -8.338613 0.375277 0.389000 -8.611482 1420
    S2 -20.394469 0.176240 0.164000 7.680452 4925
    SO -26.225825 0.219786 0.200700 11.976514 2605
    SO2 -42.350198 0.447235 0.414400 20.603995 17114
    Si2 -7.637127 0.115571 0.121000 -3.407024 2494
    Si2H6 -11.353425 0.830944 0.849000 -11.330617 12867
    SiH21A1 -4.996184 0.235097 0.243000 -4.959125 354
    SiH23B1 -4.969663 0.208577 0.210000 -0.893204 597
    SiH3 -5.615196 0.353955 0.363000 -5.675996 1437
    SiH4 -6.263611 0.502216 0.515000 -8.022127 2251
    SiO -19.970255 0.312553 0.306700 3.672653 2155
        5.48 1.52 6.93  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.002938 0.000039 0.000000 0.000055       42
    C -5.417876 0.000075 0.000000 0.000106       5
    Cl -14.944556 0.000140 0.000000 0.000199       124
    F -24.189626 0.000167 0.000000 0.000237       8
    H -0.500003 0.000003 0.000000 0.000004       1
    Li -0.196353 0.000001 0.000000 0.000001       1
    N -9.789256 0.000069 0.000000 0.000098       5
    Na -0.182093 0.000011 0.000000 0.000016       1
    O -15.892887 0.000052 0.000000 0.000074       6
    P -6.464934 0.000111 0.000000 0.000157       91
    S -10.112105 0.000039 0.000000 0.000056       144
    Si -3.760396 0.000027 0.000000 0.000039       65
    BeH -1.589059 0.000072 0.086118 0.000082 0.079400 4.215448 0.051571 19
    C2H2 -12.494091 0.000117 0.658333 0.000190 0.642400 9.997862 0.119078 569
    C2H4 -13.746601 0.000181 0.910837 0.000235 0.899000 7.427667 0.147410 2140
    C2H6 -14.986311 0.000323 1.150541 0.000356 1.136900 8.559772 0.223334 5884
    CH -6.051364 0.000138 0.133485 0.000157 0.133900 -0.260635 0.098622 59
    CH21A1 -6.707476 0.000171 0.289594 0.000187 0.288900 0.435632 0.117236 120
    CH23B1 -6.727407 0.000155 0.309525 0.000172 0.304100 3.404335 0.108012 79
    CH3 -7.414577 0.000228 0.496692 0.000240 0.490800 3.697052 0.150812 328
    CH3Cl -22.499493 0.000431 0.637051 0.000459 0.631000 3.797375 0.288136 10875
    CH4 -8.095278 0.000370 0.677390 0.000377 0.670300 4.449199 0.236721 515
    CN -15.495774 0.000580 0.288642 0.000588 0.288800 -0.099272 0.369232 721
    CO -21.728158 0.000517 0.417395 0.000525 0.413700 2.318495 0.329371 340
    CO2 -37.832935 0.000818 0.629285 0.000828 0.621400 4.947609 0.519360 1846
    CS -15.804483 0.000424 0.274501 0.000433 0.274000 0.314488 0.271590 1350
    Cl2 -29.984598 0.000373 0.095485 0.000467 0.094000 0.932063 0.292734 1326
    ClF -39.231612 0.000339 0.097430 0.000403 0.100100 -1.675158 0.253047 829
    ClO -30.939375 0.000253 0.101932 0.000294 0.104700 -1.736998 0.184625 1504
    F2 -48.430097 0.000224 0.050846 0.000403 0.062200 -7.125030 0.252866 26
    H2CO -22.913163 0.000281 0.602393 0.000296 0.596700 3.572645 0.185497 1382
    H2O -17.257894 0.000247 0.365002 0.000253 0.371900 -4.328755 0.158499 23
    H2O2 -33.202749 0.000358 0.416969 0.000373 0.429400 -7.800661 0.233981 2870
    H2S -11.402570 0.000078 0.290459 0.000088 0.292000 -0.967113 0.055028 345
    H3COH -24.133042 0.000486 0.822267 0.000495 0.818700 2.238148 0.310451 12607
    H3CSH -18.290270 0.000611 0.760277 0.000617 0.757000 2.056450 0.387332 38269
    HCN -16.210974 0.000560 0.503839 0.000569 0.496900 4.354451 0.356994 781
    HCO -22.257793 0.000227 0.447026 0.000244 0.444700 1.459740 0.153371 1986
    HCl -15.615072 0.000064 0.170513 0.000154 0.171000 -0.305878 0.096843 290
    HF -24.908978 0.000225 0.219349 0.000280 0.226100 -4.236047 0.175771 5
    HOCl -31.597675 0.000535 0.260229 0.000556 0.264700 -2.805717 0.348806 8312
    Li2 -0.430271 0.000068 0.037564 0.000068 0.038900 -0.838362 0.042777 25
    LiF -24.609492 0.000101 0.223513 0.000195 0.222000 0.949174 0.122562 23
    LiH -0.788002 0.000039 0.091645 0.000039 0.092430 -0.492316 0.024461 1
    N2 -19.938355 0.000398 0.359843 0.000421 0.364600 -2.985240 0.264476 200
    N2H4 -22.265279 0.000350 0.686756 0.000377 0.699600 -8.059900 0.236267 13079
    NH -10.419028 0.000123 0.129769 0.000141 0.133500 -2.341308 0.088359 16
    NH2 -11.076950 0.000227 0.287688 0.000237 0.290400 -1.701795 0.148942 156
    NH3 -11.760248 0.000399 0.470983 0.000405 0.475500 -2.834438 0.254124 398
    NO -25.919163 0.000536 0.237020 0.000543 0.244500 -4.693549 0.340530 241
    Na2 -0.391199 0.000032 0.027012 0.000039 0.026800 0.133328 0.024282 55
    NaCl -15.285533 0.000513 0.158884 0.000532 0.157400 0.930924 0.334005 2934
    O2 -31.973871 0.000687 0.188097 0.000695 0.192400 -2.700261 0.435901 137
    OH -16.560042 0.000126 0.167152 0.000136 0.170200 -1.912559 0.085442 8
    P2 -13.109553 0.000568 0.179686 0.000610 0.186000 -3.962250 0.382525 1599
    PH2 -7.708833 0.000244 0.243894 0.000268 0.244000 -0.066708 0.168278 352
    PH3 -8.349334 0.000506 0.384392 0.000518 0.389000 -2.891463 0.325190 1420
    S2 -20.388781 0.000236 0.164571 0.000249 0.164000 0.358163 0.156037 4925
    SO -26.206785 0.000297 0.201793 0.000304 0.200700 0.685633 0.191019 2605
    SO2 -42.317283 0.000835 0.419404 0.000843 0.414400 3.139903 0.528705 17114
    Si2 -7.638372 0.000473 0.117580 0.000476 0.121000 -2.146359 0.298922 2494
    Si2H6 -11.378770 0.000467 0.857960 0.000470 0.849000 5.622696 0.295226 12867
    SiH21A1 -5.006050 0.000247 0.245648 0.000248 0.243000 1.661813 0.155917 354
    SiH23B1 -4.974397 0.000267 0.213995 0.000268 0.210000 2.506722 0.168150 597
    SiH3 -5.626385 0.000121 0.365980 0.000124 0.363000 1.870270 0.077904 1437
    SiH4 -6.281099 0.000478 0.520692 0.000479 0.515000 3.571494 0.300315 2251
    SiO -19.961401 0.000239 0.308118 0.000246 0.306700 0.889539 0.154490 2155
      2.90 0.25 0.39 3.745 0.005      

2.7.5 \(\mu=1/2\)

  1. CIPSI
      ecal aecal aenr aediff Ndet
      Hartree Hartree Hartree kcal/mol  
    Be -0.999244       53
    C -5.426998       292
    Cl -14.947964       3297
    F -24.217393       222
    H -0.503289       1
    Li -0.196938       1
    N -9.803449       161
    Na -0.182546       1
    O -15.916012       314
    P -6.465937       1155
    S -10.113623       2548
    Si -3.760405       1064
    BeH -1.588237 0.085704 0.079400 3.955757 832
    C2H2 -12.494691 0.634115 0.642400 -5.198991 44849
    C2H4 -13.748208 0.881053 0.899000 -11.261902 176223
    C2H6 -14.988175 1.114441 1.136900 -14.093331 1730917
    CH -6.056113 0.125825 0.133900 -5.067187 1347
    CH21A1 -6.706420 0.272842 0.288900 -10.076400 6122
    CH23B1 -6.733935 0.300358 0.304100 -2.348100 7896
    CH3 -7.417628 0.480761 0.490800 -6.299356 22475
    CH3Cl -22.501861 0.617031 0.631000 -8.765633 1481325
    CH4 -8.093577 0.653421 0.670300 -10.591717 152351
    CN -15.503961 0.273514 0.288800 -9.592282 48132
    CO -21.750950 0.407940 0.413700 -3.614443 28515
    CO2 -37.881120 0.622099 0.621400 0.438449 205259
    CS -15.804719 0.264098 0.274000 -6.213870 210314
    Cl2 -29.991909 0.095982 0.094000 1.243454 744248
    ClF -39.267335 0.101978 0.100100 1.178535 91236
    ClO -30.969026 0.105051 0.104700 0.220009 218230
    F2 -48.491509 0.056722 0.062200 -3.437436 12994
    H2CO -22.936125 0.586536 0.596700 -6.378001 96920
    H2O -17.275666 0.353076 0.371900 -11.812535 6385
    H2O2 -33.245714 0.407112 0.429400 -13.985917 224948
    H2S -11.399974 0.279772 0.292000 -7.673428 24580
    H3COH -24.155854 0.799686 0.818700 -11.931540 767277
    H3CSH -18.290088 0.736309 0.757000 -12.983950 1471543
    HCN -16.220032 0.486295 0.496900 -6.654462 90087
    HCO -22.285095 0.438795 0.444700 -3.705432 264646
    HCl -15.615378 0.164125 0.171000 -4.314148 11828
    HF -24.934444 0.213761 0.226100 -7.742622 2438
    HOCl -31.623491 0.256226 0.264700 -5.317269 833425
    Li2 -0.429619 0.035744 0.038900 -1.980329 180
    LiF -24.637272 0.222941 0.222000 0.590569 43868
    LiH -0.786895 0.086668 0.092430 -3.615549 395
    N2 -19.957050 0.350153 0.364600 -9.065931 13243
    N2H4 -22.287467 0.667412 0.699600 -20.198424 852894
    NH -10.433384 0.126646 0.133500 -4.300974 4446
    NH2 -11.088118 0.278091 0.290400 -7.724329 9026
    NH3 -11.767631 0.454313 0.475500 -13.294809 29383
    NO -25.958343 0.238883 0.244500 -3.524805 43867
    Na2 -0.390409 0.025317 0.026800 -0.930611 102
    NaCl -15.286774 0.156265 0.157400 -0.712297 48248
    O2 -32.025095 0.193072 0.192400 0.421444 34289
    OH -16.582297 0.162996 0.170200 -4.520629 3298
    P2 -13.103741 0.171867 0.186000 -8.868503 829197
    PH2 -7.705763 0.233247 0.244000 -6.747395 24093
    PH3 -8.343094 0.367289 0.389000 -13.623870 104522
    S2 -20.394250 0.167004 0.164000 1.884880 4183273
    SO -26.233230 0.203595 0.200700 1.816878 295075
    SO2 -42.361600 0.415953 0.414400 0.974710 5879386
    Si2 -7.634801 0.113992 0.121000 -4.397388 1158264
    Si2H6 -11.366159 0.825613 0.849000 -14.675632 1649388
    SiH21A1 -4.998740 0.231756 0.243000 -7.055508 9998
    SiH23B1 -4.973700 0.206717 0.210000 -2.060386 16106
    SiH3 -5.622160 0.351887 0.363000 -6.973443 78705
    SiH4 -6.273254 0.499691 0.515000 -9.606554 95042
    SiO -19.977172 0.300756 0.306700 -3.730222 127437
        6.35 -5.89 5.18  
  2. DMC
      Total E   Delta E   Reference Error   Ndet
      Hartree   Hartree   Hartree kcal/mol    
    Be -1.008936 0.000023 0.000000 0.000033       53
    C -5.423260 0.000076 0.000000 0.000107       292
    Cl -14.954148 0.000202 0.000000 0.000286       3297
    F -24.191477 0.000252 0.000000 0.000356       222
    H -0.500003 0.000003 0.000000 0.000004       1
    Li -0.196353 0.000001 0.000000 0.000001       1
    N -9.791893 0.000090 0.000000 0.000127       161
    Na -0.182093 0.000011 0.000000 0.000016       1
    O -15.894937 0.000166 0.000000 0.000235       314
    P -6.470693 0.000131 0.000000 0.000185       1155
    S -10.120612 0.000159 0.000000 0.000225       2548
    Si -3.764505 0.000087 0.000000 0.000123       1064
    BeH -1.591076 0.000014 0.082138 0.000027 0.079400 1.717998 0.017147 832
    C2H2 -12.498281 0.000132 0.651757 0.000201 0.642400 5.871354 0.126046 44849
    C2H4 -13.750918 0.000161 0.904388 0.000221 0.899000 3.380793 0.138658 176223
    C2H6 -14.988213 0.000510 1.141676 0.000532 1.136900 2.997250 0.333909 1730917
    CH -6.057662 0.000209 0.134400 0.000222 0.133900 0.313648 0.139280 1347
    CH21A1 -6.713371 0.000052 0.290105 0.000092 0.288900 0.756312 0.057541 6122
    CH23B1 -6.729564 0.000048 0.306299 0.000090 0.304100 1.379802 0.056494 7896
    CH3 -7.416224 0.000080 0.492956 0.000111 0.490800 1.352668 0.069349 22475
    CH3Cl -22.507086 0.000639 0.629669 0.000675 0.631000 -0.835019 0.423506 1481325
    CH4 -8.094495 0.000511 0.671224 0.000517 0.670300 0.579631 0.324427 152351
    CN -15.503381 0.001043 0.288228 0.001049 0.288800 -0.358890 0.658412 48132
    CO -21.735123 0.000184 0.416926 0.000259 0.413700 2.024133 0.162516 28515
    CO2 -37.840680 0.000532 0.627546 0.000632 0.621400 3.856748 0.396313 205259
    CS -15.817930 0.000160 0.274059 0.000238 0.274000 0.036753 0.149415 210314
    Cl2 -30.003285 0.000697 0.094989 0.000806 0.094000 0.620667 0.505577 744248
    ClF -39.242135 0.000505 0.096510 0.000599 0.100100 -2.252912 0.376015 91236
    ClO -30.951000 0.000517 0.101915 0.000580 0.104700 -1.747928 0.363737 218230
    F2 -48.435978 0.000535 0.053024 0.000735 0.062200 -5.758056 0.461165 12994
    H2CO -22.917290 0.000421 0.599087 0.000459 0.596700 1.497898 0.288045 96920
    H2O -17.259667 0.000126 0.364724 0.000209 0.371900 -4.502851 0.130863 6385
    H2O2 -33.208496 0.001298 0.418616 0.001339 0.429400 -6.767230 0.840434 224948
    H2S -11.410768 0.000106 0.290151 0.000191 0.292000 -1.160352 0.120076 24580
    H3COH -24.140019 0.000912 0.821810 0.000930 0.818700 1.951836 0.583651 767277
    H3CSH -18.294070 0.000783 0.750187 0.000803 0.757000 -4.274967 0.503869 1471543
    HCN -16.212033 0.001145 0.496877 0.001151 0.496900 -0.014286 0.722279 90087
    HCO -22.263218 0.000376 0.445018 0.000418 0.444700 0.199498 0.262080 264646
    HCl -15.624439 0.000606 0.170288 0.000639 0.171000 -0.446721 0.400937 11828
    HF -24.913752 0.001045 0.222272 0.001075 0.226100 -2.402033 0.674472 2438
    HOCl -31.609230 0.000708 0.260142 0.000755 0.264700 -2.860417 0.473654 833425
    Li2 -0.431518 0.000011 0.038811 0.000011 0.038900 -0.055827 0.006934 180
    LiF -24.610026 0.000241 0.222196 0.000349 0.222000 0.122718 0.218790 43868
    LiH -0.788462 0.000043 0.092105 0.000043 0.092430 -0.203712 0.026844 395
    N2 -19.944826 0.000176 0.361039 0.000251 0.364600 -2.234271 0.157774 13243
    N2H4 -22.269712 0.000946 0.685914 0.000963 0.699600 -8.587967 0.604160 852894
    NH -10.421923 0.000057 0.130027 0.000107 0.133500 -2.179318 0.066882 4446
    NH2 -11.078903 0.000085 0.287005 0.000124 0.290400 -2.130600 0.077538 9026
    NH3 -11.761894 0.000080 0.469992 0.000121 0.475500 -3.456112 0.075924 29383
    NO -25.926130 0.000479 0.239300 0.000515 0.244500 -3.263265 0.323094 43867
    Na2 -0.391144 0.000023 0.026958 0.000032 0.026800 0.099104 0.020049 102
    NaCl -15.295092 0.000675 0.158851 0.000705 0.157400 0.910275 0.442149 48248
    O2 -31.979063 0.000287 0.189188 0.000439 0.192400 -2.015337 0.275350 34289
    OH -16.562182 0.000069 0.167242 0.000180 0.170200 -1.856087 0.112682 3298
    P2 -13.123155 0.000242 0.181769 0.000356 0.186000 -2.654890 0.223554 829197
    PH2 -7.713700 0.000299 0.243002 0.000326 0.244000 -0.626468 0.204874 24093
    PH3 -8.354123 0.000150 0.383421 0.000199 0.389000 -3.500612 0.125123 104522
    S2 -20.405199 0.000543 0.163976 0.000630 0.164000 -0.015168 0.395217 4183273
    SO -26.217414 0.000482 0.201865 0.000534 0.200700 0.731279 0.334908 295075
    SO2 -42.325839 0.000976 0.415353 0.001043 0.414400 0.597851 0.654674 5879386
    Si2 -7.645684 0.000467 0.116674 0.000498 0.121000 -2.714528 0.312416 1158264
    Si2H6 -11.385204 0.000628 0.856177 0.000652 0.849000 4.503695 0.409268 1649388
    SiH21A1 -5.010329 0.000061 0.245818 0.000106 0.243000 1.768226 0.066760 9998
    SiH23B1 -4.978005 0.000055 0.213495 0.000103 0.210000 2.192943 0.064684 16106
    SiH3 -5.629676 0.000090 0.365163 0.000126 0.363000 1.357086 0.078799 78705
    SiH4 -6.284045 0.000114 0.519529 0.000144 0.515000 2.841690 0.090184 95042
    SiO -19.967776 0.000424 0.308334 0.000463 0.306700 1.025334 0.290557 127437
      2.06 0.35 -0.44 2.740 0.125      

2.7.6 FCI

  1. CIPSI
      Total E   Delta E   Reference Error  
      Hartree   Hartree   Hartree kcal/mol  
      ecal aecal aenr aediff      
    Be -1.009626 0.000009 0.000000 0.000012      
    C -5.432164 0.000004 0.000000 0.000006      
    Cl -14.967668 0.000005 0.000000 0.000007      
    F -24.186155 0.000003 0.000000 0.000004      
    H -0.499916 0.000000   0.000000      
    Li -0.196307 0.000000   0.000000      
    N -9.798444 0.000001 0.000000 0.000002      
    Na -0.181980 0.000000   0.000000      
    O -15.897642 0.000002 0.000000 0.000003      
    P -6.476064 0.000001 0.000000 0.000002      
    S -10.128682 0.000000 0.000000 0.000001      
    Si -3.766939 0.000002 0.000000 0.000002      
    BeH -1.588951 0.000031 0.079409 0.000032 0.079400 0.005936 0.019943
    C2H2 -12.499381 0.000056 0.635222 0.000057 0.642400 -4.504129 0.035633
    C2H4 -13.749829 0.000755 0.885838 0.000755 0.899000 -8.259487 0.473798
    C2H6 -14.976671 0.002502 1.112848 0.002502 1.136900 -15.092883 1.570321
    CH -6.064087 0.000002 0.132008 0.000005 0.133900 -1.187362 0.002922
    CH21A1 -6.716786 0.000001 0.284791 0.000004 0.288900 -2.578570 0.002633
    CH23B1 -6.731323 0.000002 0.299328 0.000004 0.304100 -2.994534 0.002764
    CH3 -7.415727 0.000020 0.483816 0.000020 0.490800 -4.382561 0.012661
    CH3Cl -22.521516 0.001709 0.621936 0.001709 0.631000 -5.687506 1.072221
    CH4 -8.093853 0.000056 0.662026 0.000056 0.670300 -5.192118 0.035136
    CN -15.513348 0.000021 0.282740 0.000022 0.288800 -3.802447 0.013682
    CO -21.738670 0.000219 0.408865 0.000219 0.413700 -3.034243 0.137599
    CO2 -37.838700 0.001069 0.611253 0.001069 0.621400 -6.367363 0.670811
    CS -15.829917 0.000200 0.269071 0.000200 0.274000 -3.092953 0.125661
    Cl2 -30.027659 0.000014 0.092322 0.000017 0.094000 -1.052786 0.010930
    ClF -39.249390 0.000609 0.095566 0.000609 0.100100 -2.844986 0.382114
    ClO -30.966211 0.000499 0.100901 0.000499 0.104700 -2.383929 0.313427
    F2 -48.431244 0.000054 0.058933 0.000054 0.062200 -2.050000 0.033800
    H2CO -22.917424 0.000211 0.587787 0.000211 0.596700 -5.593292 0.132435
    H2O -17.256113 0.000011 0.358639 0.000011 0.371900 -8.321241 0.006951
    H2O2 -33.206043 0.000566 0.410928 0.000566 0.429400 -11.591315 0.355078
    H2S -11.416822 0.000036 0.288308 0.000036 0.292000 -2.316961 0.022567
    H3COH -24.126733 0.000210 0.797264 0.000210 0.818700 -13.451386 0.131821
    H3CSH -18.303106 0.000888 0.742596 0.000888 0.757000 -9.038560 0.557191
    HCN -16.220238 0.000114 0.489715 0.000114 0.496900 -4.508747 0.071423
    HCO -22.265628 0.000503 0.435907 0.000503 0.444700 -5.517539 0.315588
    HCl -15.636332 0.000018 0.168747 0.000019 0.171000 -1.413491 0.011743
    HF -24.902433 0.000009 0.216362 0.000010 0.226100 -6.110912 0.006124
    HOCl -31.621625 0.000224 0.256399 0.000224 0.264700 -5.208797 0.140532
    Li2 -0.431443 0.000004 0.038829 0.000004 0.038900 -0.044823 0.002472
    LiF -24.599582 0.000001 0.217120 0.000003 0.222000 -3.062355 0.001982
    LiH -0.787778 0.000003 0.091555 0.000003 0.092430 -0.549078 0.002108
    N2 -19.952215 0.000053 0.355328 0.000053 0.364600 -5.818524 0.033494
    N2H4 -22.265086 0.002365 0.668535 0.002365 0.699600 -19.493818 1.484256
    NH -10.426353 0.000005 0.127994 0.000005 0.133500 -3.455183 0.003041
    NH2 -11.080314 0.000014 0.282038 0.000014 0.290400 -5.247264 0.008675
    NH3 -11.759748 0.000007 0.461556 0.000007 0.475500 -8.749893 0.004378
    NO -25.932141 0.000214 0.236056 0.000214 0.244500 -5.298782 0.134282
    Na2 -0.390671 0.000016 0.026711 0.000016 0.026800 -0.055830 0.010216
    NaCl -15.303431 0.000049 0.153783 0.000049 0.157400 -2.269973 0.030858
    O2 -31.982234 0.000316 0.186951 0.000316 0.192400 -3.419459 0.198515
    OH -16.562097 0.000014 0.164539 0.000014 0.170200 -3.552177 0.008780
    P2 -13.130791 0.000179 0.178662 0.000179 0.186000 -4.604850 0.112434
    PH2 -7.718213 0.000026 0.242316 0.000026 0.244000 -1.056595 0.016381
    PH3 -8.356876 0.000003 0.381064 0.000003 0.389000 -4.980126 0.001736
    S2 -20.417704 0.000461 0.160340 0.000461 0.164000 -2.296869 0.289383
    SO -26.223097 0.000334 0.196773 0.000334 0.200700 -2.464276 0.209887
    SO2 -42.324964 0.005165 0.400998 0.005165 0.414400 -8.409757 3.241071
    Si2 -7.650009 0.000173 0.116131 0.000173 0.121000 -3.055403 0.108497
    Si2H6 -11.392075 0.006207 0.858701 0.006207 0.849000 6.087500 3.894679
    SiH21A1 -5.011004 0.000002 0.244233 0.000003 0.243000 0.773601 0.001672
    SiH23B1 -4.978375 0.000002 0.211604 0.000003 0.210000 1.006802 0.001850
    SiH3 -5.629378 0.000037 0.362691 0.000037 0.363000 -0.194032 0.022952
    SiH4 -6.283377 0.000026 0.516774 0.000026 0.515000 1.113385 0.016341
    SiO -19.966280 0.000114 0.301700 0.000114 0.306700 -3.137770 0.071685
      4.51 0.78 -4.18 4.19 0.20    

2.8 Python code to export Data in csv format

for basis in ['dz', 'tz', 'qz']:
   for method in ['ccsdt','pbe','pbe0','blyp','b3lyp']:
      name = basis+'-'+method
      print(":var "+name.replace('-','_').replace('.','')+"="+name)

   for method in ['cipsi', 'dmc']:
     for mu in ['0.00', '0.25', '0.50']:
        name = basis+'-'+method+'-'+mu
        print(":var "+name.replace('-','_').replace('.','')+"="+name)
   if basis == 'dz':
     for method in ['cipsi', 'dmc']:
        for mu in ['1.00', '2.00', '5.00', 'inf']:
           name = basis+'-'+method+'-'+mu
           print(":var "+name.replace('-','_').replace('.','')+"="+name)
   elif basis == 'tz':
     for method in ['cipsi', 'dmc']:
       for mu in ['1.00']:
          name = basis+'-'+method+'-'+mu
          print(":var "+name.replace('-','_').replace('.','')+"="+name)
print("Basis,Method,Mu,Molecule,TotalEnergy,TotalEnergyErr,AtomizationEnergy,AtomizationEnergyErr,Ndet")

def print_data(x,basis,method,mu):
  ndet = ","
  if mu is None:
    mu = ""
  if len(x[0]) == 5:
    for line in x[2:]:
      if line[0] != "":
        if mu == "opt":
          ndet = ""
        elif mu is not "":
          ndet = line[-1]
          line = [ line[0], line[1], "", line[2], ""]
          line = ",".join([str(x) for x in line[:5]])
          print (f"{basis},{method},{mu},{line},{ndet}")
  else:
    for line in x[2:]:
      if line[0] != "":
        if mu == "opt":
          ndet = ""
        elif mu is not "":
          ndet = line[-1]
          line = ",".join([str(x) for x in line[:5]])
          print (f"{basis},{method},{mu},{line},{ndet}")

data = [ (dz_ccsdt,"VDZ-BFD","CCSD(T)",None),
         (dz_pbe,"VDZ-BFD","PBE",None),
         (dz_pbe0,"VDZ-BFD","PBE0",None),
         (dz_blyp,"VDZ-BFD","BLYP",None),
         (dz_b3lyp,"VDZ-BFD","B3LYP",None),
         (dz_cipsi_000,"VDZ-BFD","CIPSI","0.00"),
         (dz_cipsi_025,"VDZ-BFD","CIPSI","0.25"),
         (dz_cipsi_050,"VDZ-BFD","CIPSI","0.50"),
         (dz_cipsi_100,"VDZ-BFD","CIPSI","1.00"),
         (dz_cipsi_200,"VDZ-BFD","CIPSI","2.00"),
         (dz_cipsi_500,"VDZ-BFD","CIPSI","5.00"),
         (dz_cipsi_inf,"VDZ-BFD","CIPSI","inf"),
         (tz_cipsi_inf,"VTZ-BFD","CIPSI","inf"),
         (qz_cipsi_inf,"VQZ-BFD","CIPSI","inf"),
         (dz_dmc_000,"VDZ-BFD","DMC","0.00"),
         (dz_dmc_025,"VDZ-BFD","DMC","0.25"),
         (dz_dmc_050,"VDZ-BFD","DMC","0.50"),
         (dz_dmc_100,"VDZ-BFD","DMC","1.00"),
         (dz_dmc_200,"VDZ-BFD","DMC","2.00"),
         (dz_dmc_500,"VDZ-BFD","DMC","5.00"),
         (dz_dmc_inf,"VDZ-BFD","DMC","inf"),
         (dz_dmc_opt,"VDZ-BFD","DMC","opt"),
         (tz_ccsdt,"VTZ-BFD","CCSD(T)",None),
         (tz_pbe,"VTZ-BFD","PBE",None),
         (tz_pbe0,"VTZ-BFD","PBE0",None),
         (tz_blyp,"VTZ-BFD","BLYP",None),
         (tz_b3lyp,"VTZ-BFD","B3LYP",None),
         (tz_cipsi_000,"VTZ-BFD","CIPSI","0.00"),
         (tz_cipsi_025,"VTZ-BFD","CIPSI","0.25"),
         (tz_cipsi_050,"VTZ-BFD","CIPSI","0.50"),
         (tz_dmc_000,"VTZ-BFD","DMC","0.00"),
         (tz_dmc_025,"VTZ-BFD","DMC","0.25"),
         (tz_dmc_050,"VTZ-BFD","DMC","0.50"),
         (tz_cipsi_100,"VTZ-BFD","CIPSI","1.00"),
         (tz_dmc_100,"VTZ-BFD","DMC","1.00"),
         (qz_ccsdt,"VQZ-BFD","CCSD(T)",None),
         (qz_pbe,"VQZ-BFD","PBE",None),
         (qz_pbe0,"VQZ-BFD","PBE0",None),
         (qz_blyp,"VQZ-BFD","BLYP",None),
         (qz_b3lyp,"VQZ-BFD","B3LYP",None),
         (qz_cipsi_000,"VQZ-BFD","CIPSI","0.00"),
         (qz_cipsi_025,"VQZ-BFD","CIPSI","0.25"),
         (qz_cipsi_050,"VQZ-BFD","CIPSI","0.50"),
         (qz_dmc_000,"VQZ-BFD","DMC","0.00"),
         (qz_dmc_025,"VQZ-BFD","DMC","0.25"),
         (qz_dmc_050,"VQZ-BFD","DMC","0.50"),
]

# Extract reference data from a random data table
ref = [ [ x[0], " ", " ", x[5] ] for x in qz_dmc_000 if x[5] != ""]
print_data(ref, "", "Reference", "")

for name, basis, method, mu in data:
  print_data(name, basis, method, mu)

rsdft.csv

3 Data for plots

3.1 Initialize R packages

to_kcal <- 627.502164882
library(ggplot2)
library(latex2exp)
library(extrafont)
library(RColorBrewer)
loadfonts()

3.2 Read csv

mad = function(x) { mean(abs(x)) }
raw_data <- read.csv("rsdft.csv")
ref <- subset(raw_data, Method == "Reference")[c("Molecule","AtomizationEnergy")]

tmp <- subset(raw_data, (Method == "DMC" & Basis == "VTZ-BFD" & AtomizationEnergy != 0.))[c("Molecule","AtomizationEnergy")]

get_ref = function(name) {
    l <- subset(ref,(Molecule == name))$"AtomizationEnergy"
    ifelse( length(l) == 0, 0.,l[1])
}
raw_data$ref <- sapply(raw_data$"Molecule", get_ref)
raw_data$ae.diff <- (raw_data$"AtomizationEnergy" - raw_data$ref) * to_kcal
summary(raw_data)


   Error in read.table(file = file, header = header, sep = sep, quote = quote,  : 
     more columns than column names

	Basis          Method           Mu          Molecule     TotalEnergy      
	   :  55   CIPSI  :1071          :1060   BeH    :  47   Min.   :-48.5039  
    VDZ-BFD:1340   DMC    :1005   0.00   : 402   C2H2   :  47   1st Qu.:-22.4809  
    VQZ-BFD: 804   B3LYP  : 201   0.25   : 402   C2H4   :  47   Median :-14.9413  
    VTZ-BFD: 937   BLYP   : 201   0.50   : 402   C2H6   :  47   Mean   :-15.5174  
		   CCSD(T): 201   1.00   : 268   CH     :  47   3rd Qu.: -6.7063  
		   PBE    : 201   inf    : 267   CH2_1A1:  47   Max.   : -0.1742  
		   (Other): 256   (Other): 335   (Other):2854   NA's   :55        
    TotalEnergyErr   AtomizationEnergy AtomizationEnergyErr      Ndet         
    Min.   :0.0000   Min.   :0.0000    Min.   :-75.1781     Min.   :       0  
    1st Qu.:0.0002   1st Qu.:0.1387    1st Qu.: -2.3366     1st Qu.:      23  
    Median :0.0007   Median :0.2681    Median :  0.0002     Median :     394  
    Mean   :0.1276   Mean   :0.3251    Mean   : -2.7038     Mean   : 1176081  
    3rd Qu.:0.2046   3rd Qu.:0.4619    3rd Qu.:  0.0006     3rd Qu.:   41778  
    Max.   :1.1423   Max.   :1.1520    Max.   : 21.7947     Max.   :19555662  
    NA's   :1216     NA's   :381       NA's   :1252         NA's   :1165      
	 ref             ae.diff        
    Min.   :0.00000   Min.   :-70.6994  
    1st Qu.:0.09243   1st Qu.: -5.9057  
    Median :0.24300   Median : -0.3853  
    Mean   :0.29081   Mean   : -3.7199  
    3rd Qu.:0.42940   3rd Qu.:  0.0000  
    Max.   :1.13690   Max.   : 12.6322  
		      NA's   :381

3.3 Figure 2 (H2O)

\(\mu\)   Ndet E(DMC,srPBE,DZ) Error Ndet E(DMC,srPBE,TZ) Error E(DMC,srLDA,DZ) Error
0.00 0.0000000000 11 -17.2535927658 0.0000616883 23 -17.2567442368 0.0000674814 -17.253051 0.0001360408
0.20 0.1666666700 23 -17.2537299553 0.0000673868 23 -17.2567293499 0.0000806448 -17.253258 0.0002422793
0.50 0.3333333300 1442 -17.2539120512 0.0001475010 1699 -17.2577489156 0.0001590032 -17.253631 0.0003054387
0.75 0.4285714300 3213 -17.2551351593 0.0001757492 13362 -17.2583975528 0.0002828675 -17.254931 0.0003102050
1.00 0.5000000000 6743 -17.2566320269 0.0001881680 25673 -17.2609826285 0.0002158278 -17.256066 0.0002854243
1.75 0.6363636400 54540 -17.2595366309 0.0003193539 207475 -17.2635480054 0.0001864936 -17.259109 0.0003141832
2.50 0.7142857100 51691 -17.2593693798 0.0002564347 858123 -17.2643468817 0.0003484087 -17.259352 0.0003585575
3.80 0.7916666700 103059 -17.2586706893 0.0002222800 1621513 -17.2636697373 0.0002950991 -17.258380 0.0003634440
5.70 0.8507462700 102599 -17.2577349871 0.0002927319 1629655 -17.2631675892 0.0003358884 -17.257471 0.0003785489
8.50 0.8947368400 101803 -17.2572986405 0.0002283964 1643301 -17.2632963114 0.0003799317 -17.256792 0.0003731954
inf 1.0000000000 255971 -17.257373 0.0003928008 1631982 -17.2638832283 0.0002702253 -17.257373 0.0003928008
vdz        = data["X"]
vdz$"E"    = data$"E.DMC.srPBE.DZ."
vdz$"E.lo" = data$"E.DMC.srPBE.DZ." - data$"Error"
vdz$"E.hi" = data$"E.DMC.srPBE.DZ." + data$"Error"
vdz$Basis  = "VDZ-BFD, srPBE"
vdz.spline_int <- as.data.frame(spline(vdz$X, vdz$E, n=101, method="natural"))
vdz.spline_int$"E.hi" <- as.data.frame(spline(vdz$X, vdz$E.hi, n=101, method="natural"))$y
vdz.spline_int$"E.lo" <- as.data.frame(spline(vdz$X, vdz$E.lo, n=101, method="natural"))$y
vdz.spline_int$X <- vdz.spline_int$x
vdz.spline_int$E <- vdz.spline_int$y
vdz.spline_int$Basis <- "VDZ-BFD, srPBE"

vtz        = data["X"]
vtz$"E"    = data$"E.DMC.srPBE.TZ."
vtz$"E.lo" = data$"E.DMC.srPBE.TZ." - data$"Error.1"
vtz$"E.hi" = data$"E.DMC.srPBE.TZ." + data$"Error.1"
vtz$Basis  = "VTZ-BFD, srPBE"
vtz.spline_int <- as.data.frame(spline(vtz$X, vtz$E, n=101, method="natural"))
vtz.spline_int$"E.hi" <- as.data.frame(spline(vtz$X, vtz$E.hi, n=101, method="natural"))$y
vtz.spline_int$"E.lo" <- as.data.frame(spline(vtz$X, vtz$E.lo, n=101, method="natural"))$y
vtz.spline_int$X <- vtz.spline_int$x
vtz.spline_int$E <- vtz.spline_int$y
vtz.spline_int$Basis <- "VTZ-BFD, srPBE"

lda        = data["X"]
lda$"E"    = data$"E.DMC.srLDA.DZ."
lda$"E.lo" = data$"E.DMC.srLDA.DZ." - data$"Error.2"
lda$"E.hi" = data$"E.DMC.srLDA.DZ." + data$"Error.2"
lda$Basis  = "VDZ-BFD, srLDA"
lda.spline_int <- as.data.frame(spline(lda$X, lda$E, n=101, method="natural"))
lda.spline_int$E.hi <- as.data.frame(spline(lda$X, lda$E.hi, n=101, method="natural"))$y
lda.spline_int$E.lo <- as.data.frame(spline(lda$X, lda$E.lo, n=101, method="natural"))$y
lda.spline_int$X <- lda.spline_int$x
lda.spline_int$E <- lda.spline_int$y
lda.spline_int$Basis <- "VDZ-BFD, srLDA"

d = rbind(lda,vdz,vtz)
ds = rbind(lda.spline_int,vdz.spline_int,vtz.spline_int)

breaks <- data$"X"
labels <- data$"X..mu" 
labels[9] <- ""
labels[11] <- TeX("$\\infty$")

p <- ggplot(ds, aes(x=X, y=E, ymin=E.lo, ymax=E.hi, fill=Basis ))
p <- p + geom_errorbar(data=d, width=0.01)
p <- p + geom_ribbon(alpha=0.5) 
p <- p + geom_point(data=d)
p <- p + scale_x_continuous(name=TeX("$\\mu$ (bohr$^{-1}$)"), breaks=breaks,
                            labels=labels) 
p <- p + scale_y_continuous(name = "Energy (a.u.)", breaks=seq(-17.266,-17.252,0.002))
p <- p + theme(text = element_text(size = 20, family="Times"),
               legend.position = c(.20, .20),
               legend.title = element_blank())
p

figureWawPAJ.png

Export to pdf

pdf("../Manuscript/h2o-dmc.pdf", family="Times", width=8, height=5)
p
dev.off()

3.4 Comparision with Jastrow optimized wf

Parameters of the Jastrow: Jee = a r12 / (1 + b r12) JeN = -(p r12 / (1 + p r12))2 a = 1/2 b = 0.886226925453 pH = 0.3467 pO = 1.1485 (energy minimization)

3.4.1 Overlap

CI coefficients of the 200-determinant expansions

FCI 0.00 0.25 0.50 1.00 2.00 5.00 Inf Jastrow
0.969695671413596E+00 -0.999733663182885E+00 0.999803185482687E+00 0.998466480333810E+00 0.991423566546587E+00 -0.983176328418711E+00 -0.978364799815062E+00 -0.977083999648621E+00 -0.987834420493285
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normalize <- function(x) {x / sqrt(sum(x^2))}
FCI <- normalize(data$FCI)
dH2O <- data.frame(FCI)
dH2O$mu_0 <- normalize(data$X0.0)
dH2O$mu_025 <- normalize(data$X0.25)
dH2O$mu_05 <- normalize(data$X0.5)
dH2O$mu_1  <- normalize(data$X1.0)
dH2O$mu_2  <- normalize(data$X2.0)
dH2O$mu_5  <- normalize(data$X5.0)
dH2O$mu_inf<- normalize(data$Inf.)
dH2O$jast  <- normalize(data$Jastrow)
overlap <- function(x) {x <- abs(crossprod(x,dH2O$jast)[1]) }
H2O <- apply(dH2O,2,overlap)
H2O

      FCI      mu_0    mu_025     mu_05      mu_1      mu_2      mu_5    mu_inf 
0.9908628 0.9875157 0.9885532 0.9918674 0.9943390 0.9926737 0.9906157 0.9899355 
     jast 
1.0000000


	     Mu       H2O
    mu_0   0.00 0.9875157
    mu_025 0.25 0.9885532
    mu_05  0.50 0.9918674
    mu_1   1.00 0.9943390
    mu_2   2.00 0.9926737
    mu_5   5.00 0.9906157
    mu_inf  Inf 0.9899355

    expression("0", "0.25", "0.5", "1", "2", "5", paste("", "", infinity, 
	""))
Mu <- c(0., 0.25, 0.5, 1., 2., 5., Inf)
X <- Mu/(Mu+1.)
X[7] <- 1.
H2O_FCI <- H2O["FCI"]
H2O <- subset(H2O, names(H2O) != "jast" & names(H2O) != "FCI")
ov = data.frame(Mu, H2O, X)
Mu <- as.character(Mu)
Mu[7] <- TeX("$\\infty$")

H2O.spline_int <- as.data.frame(spline(ov$"X", ov$"H2O", n=101))

p <- ggplot(ov, aes(x=X, y=H2O))
p <- p + geom_line(data = H2O.spline_int, aes(x=x, y=y, colour='red'),
                   show.legend=FALSE, lwd=2)
p <- p + geom_point(aes(x=X,y=H2O), lwd=2.)
p <- p + scale_x_continuous(name=TeX("$\\mu$ (bohr$^{-1}$)"), breaks=X, labels=Mu) 
p <- p + scale_y_continuous(name = TeX("Overlap"))
p <- p + theme(text = element_text(size = 20, family="Times"),
               legend.position = c(.85, .15))
p

figureEm4QJg.png

pdf("../Manuscript/overlap.pdf", family="Times", width=8, height=5)
p
dev.off()

3.4.2 DMC energies

Mu E Error
0.00 -17.2537075442 0.0003272719
0.25 -17.2540586404 0.0002976313
0.50 -17.2550687726 0.0002976167
1.00 -17.2552742178 0.0002854467
2.00 -17.2529369035 0.0002926223
5.00 -17.2501268640 0.0003236742
Inf -17.2492453661 0.0003067415

DMC Energy of Jastrow-optimized WF : 17.2550782462 +/- 0.0002578873

Mu <- c(0., 0.25, 0.5, 1., 2., 5., Inf)
data$X <- Mu/(Mu+1.)
data$X[7] <- 1.
Mu <- as.character(Mu)
Mu[7] <- TeX("$\\infty$")

Eref <- -17.2550782462
Eref_err <- 0.0002578873

x <- c(0., 1.)
Jast <- data.frame(x)
Jast$y <- c(Eref,Eref) 
Jast$lo <- c(Eref-Eref_err,Eref-Eref_err)
Jast$hi <- c(Eref+Eref_err,Eref+Eref_err) 
print(Jast)

E.lo <- data$E - data$Error
E.hi <- data$E + data$Error
E <- data$E
X <- data$X
H2O.spline_int <- as.data.frame(spline(X, E, n=101))
H2O.spline_int$hi <- as.data.frame(spline(X, E.hi, n=101))$y
H2O.spline_int$lo <- as.data.frame(spline(X, E.lo, n=101))$y

p <- ggplot(H2O.spline_int, aes(x=x, y=y, ymin=lo, ymax=hi, fill="red"))
p <- p + geom_ribbon(data=Jast, aes(x=x, y=y, ymin=lo, ymax=hi),
                     alpha=0.25, fill="blue", show.legend = FALSE)
p <- p + geom_ribbon(alpha=0.5, show.legend = FALSE)
p <- p + geom_point(data=data, aes(x=X, y=E, ymin=E.lo, ymax=E.hi), show.legend=FALSE)
p <- p + geom_errorbar(data=data, aes(x=X, y=E, ymin=E.lo, ymax=E.hi),
                       show.legend=FALSE, width=.02)
p <- p + scale_x_continuous(name=TeX("$\\mu$ (bohr$^{-1}$)"), breaks=X, labels=Mu)
p <- p + scale_y_continuous(name = TeX("E_{DMC} (a.u.)"))
p <- p + theme(text = element_text(size = 20, family="Times") )
p

figureBbjcYo.png

Export to pdf

pdf("../Manuscript/h2o-200-dmc.pdf", family="Times", width=8, height=5)
p
dev.off()

3.5 On-top pair density

R 0.0 0.25 0.5 1.0 2.0 5.0 Inf. Jastrow
0.0000000000 0.0133216767 0.0132032034 0.0130207444 0.0131256614 0.0132897530 0.0132720556 0.0132434061 0.0137788277
0.0025392250 0.0132223154 0.0131033958 0.0129200491 0.0130247908 0.0131878470 0.0131693560 0.0131405965 0.0136955491
0.0050784500 0.0131459155 0.0130264937 0.0128420692 0.0129462616 0.0131078980 0.0130883212 0.0130593617 0.0136353148
0.0076176750 0.0130922803 0.0129722950 0.0127865880 0.0128898444 0.0130496710 0.0130287132 0.0129994629 0.0135979441
0.0101569000 0.0130612603 0.0129406444 0.0127534340 0.0128553512 0.0130129686 0.0129903293 0.0129606957 0.0135832969
0.0126961250 0.0130527532 0.0129314335 0.0127424814 0.0128426350 0.0129976306 0.0129730020 0.0129428911 0.0135912746
0.0152353500 0.0130667037 0.0129446012 0.0127536495 0.0128515902 0.0130035346 0.0129765995 0.0129459146 0.0136218192
0.0177745750 0.0131031037 0.0129801328 0.0127869031 0.0128821522 0.0130305955 0.0130010254 0.0129696666 0.0136749137
0.0203137999 0.0131619913 0.0130380603 0.0128422519 0.0129342972 0.0130787654 0.0130462183 0.0130140823 0.0137505814
0.0228530249 0.0132434509 0.0131184612 0.0129197499 0.0130080421 0.0131480336 0.0131121520 0.0130791315 0.0138488858
0.0253922499 0.0133476122 0.0132214586 0.0130194953 0.0131034437 0.0132384255 0.0131988348 0.0131648177 0.0139699299
0.0279314749 0.0134746496 0.0133472201 0.0131416292 0.0132205982 0.0133500031 0.0133063093 0.0132711784 0.0141138557
0.0304706999 0.0136247812 0.0134959569 0.0132863355 0.0133596407 0.0134828635 0.0134346515 0.0133982839 0.0142808430
0.0330099249 0.0137982680 0.0136679229 0.0134538393 0.0135207442 0.0136371385 0.0135839706 0.0135462374 0.0144711094
0.0355491499 0.0139954129 0.0138634138 0.0136444064 0.0137041188 0.0138129942 0.0137544077 0.0137151734 0.0146849083
0.0380883749 0.0142165589 0.0140827656 0.0138583416 0.0139100103 0.0140106293 0.0139461355 0.0139052577 0.0149225289
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2.4960581687 0.0476605890 0.0469930405 0.0448729484 0.0408912621 0.0378522867 0.0365369413 0.0362507357 0.0344188208
2.4985973937 0.0474870583 0.0468183427 0.0446970049 0.0407210123 0.0376902736 0.0363788254 0.0360934294 0.0342612260
2.5011366187 0.0473129914 0.0466431351 0.0445206290 0.0405504604 0.0375280481 0.0362205344 0.0359359562 0.0341035374
2.5036758437 0.0471383955 0.0464674249 0.0443438281 0.0403796135 0.0373656165 0.0360620742 0.0357783219 0.0339457607
2.5062150687 0.0469632782 0.0462912199 0.0441666100 0.0402084787 0.0372029851 0.0359034506 0.0356205323 0.0337879018
2.5087542937 0.0467876468 0.0461145276 0.0439889825 0.0400370631 0.0370401601 0.0357446695 0.0354625931 0.0336299664
2.5112935186 0.0466115091 0.0459373558 0.0438109536 0.0398653741 0.0368771479 0.0355857369 0.0353045102 0.0334719604
2.5138327436 0.0464348727 0.0457597122 0.0436325310 0.0396934190 0.0367139551 0.0354266587 0.0351462896 0.0333138896
2.5163719686 0.0462577455 0.0455816049 0.0434537228 0.0395212052 0.0365505879 0.0352674411 0.0349879372 0.0331557601
2.5189111936 0.0460801352 0.0454030418 0.0432745373 0.0393487400 0.0363870531 0.0351080901 0.0348294590 0.0329975778
2.5214504186 0.0459020500 0.0452240309 0.0430949824 0.0391760311 0.0362233572 0.0349486119 0.0346708610 0.0328393487
2.5239896436 0.0457234977 0.0450445805 0.0429150665 0.0390030860 0.0360595067 0.0347890126 0.0345121494 0.0326810788
2.5265288686 0.0455444867 0.0448646987 0.0427347979 0.0388299122 0.0358955084 0.0346292986 0.0343533302 0.0325227742
2.5290680936 0.0453650250 0.0446843939 0.0425541849 0.0386565175 0.0357313690 0.0344694759 0.0341944097 0.0323644410
2.5316073186 0.0451851210 0.0445036745 0.0423732360 0.0384829095 0.0355670953 0.0343095510 0.0340353941 0.0322060854
2.5341465436 0.0450047831 0.0443225489 0.0421919598 0.0383090961 0.0354026939 0.0341495302 0.0338762895 0.0320477134
2.5366857686 0.0448240197 0.0441410256 0.0420103647 0.0381350850 0.0352381719 0.0339894199 0.0337171023 0.0318893313
breaks <- c("0.00", "0.25", "0.50", "1.00", "2.00", "5.00", "$\\infty$", "Jastrow")

data.0 <- data.frame(mu=breaks[1], x=tmp_data$R, n=tmp_data$X0.0)
data.0.25 <- data.frame(mu=breaks[2], x=tmp_data$R, n=tmp_data$X0.25)
data.0.5 <- data.frame(mu=breaks[3], x=tmp_data$R, n=tmp_data$X0.5)
data.1.0 <- data.frame(mu=breaks[4], x=tmp_data$R, n=tmp_data$X1.0)
data.2.0 <- data.frame(mu=breaks[5], x=tmp_data$R, n=tmp_data$X2.0)
data.5.0 <- data.frame(mu=breaks[6], x=tmp_data$R, n=tmp_data$X5.0)
data.inf <- data.frame(mu=breaks[7], x=tmp_data$R, n=tmp_data$Inf.)
data.J <- data.frame(mu=breaks[8], x=tmp_data$R, n=tmp_data$Jastrow)


data <- rbind(data.0, data.0.25, data.0.5, data.1.0, data.2.0, data.5.0, data.inf)

labels= TeX(breaks)

labels[1] <- TeX("\u00B5=$0.00$, $<P>=1.443$")
labels[2] <- TeX("\u00B5=$0.25$, $<P>=1.438$")
labels[3] <- TeX("\u00B5=$0.50$, $<P>=1.423$")
labels[4] <- TeX("\u00B5=$1.00$, $<P>=1.378$")
labels[5] <- TeX("\u00B5=$2.00$, $<P>=1.325$")
labels[6] <- TeX("\u00B5=$5.00$, $<P>=1.288$")
labels[7] <- TeX("\u00B5=\\infty, $<P>=1.277$")
labels[8] <- TeX("Jastrow  $<P>=1.404$")

p <- ggplot(data, aes(x=x, y=n, col=mu))
p <- p + geom_line(lwd=1.5)
p <- p + geom_line(data=data.J, lwd=1, col=1, linetype="dashed")
p <- p + scale_colour_discrete(name = "", breaks = breaks, 
                              labels = labels)
#p <- p + scale_color_brewer(palette = "Paired")
p <- p + scale_x_continuous(name=TeX("$r_{O-H}$ (bohr)"))
p <- p + scale_y_continuous(name = "On-top pair density (a.u.)")
p <- p + theme(text = element_text(size = 20, family="Times"),
               legend.title=element_blank(),
               legend.position=c(.81,.75), legend.text.align = 0)
p

figureDSusiR.png

pdf("../Manuscript/on-top-mu.pdf", family="Times", width=8, height=5)
p
dev.off()

3.6 One-body density

R 0.0 0.25 0.5 1.0 2.0 5.0 Inf. Jastrow
0.0000000000 0.1632289754 0.1625058337 0.1614093700 0.1621637003 0.1632815018 0.1632347630 0.1630753669 0.1632289756
0.0025392250 0.1626190857 0.1618903122 0.1607858504 0.1615488262 0.1626704737 0.1626220193 0.1624621910 0.1626190859
0.0050784500 0.1621485697 0.1614145037 0.1603026855 0.1610743525 0.1621995433 0.1621493504 0.1619891262 0.1621485699
0.0076176750 0.1618174276 0.1610784089 0.1599598760 0.1607402781 0.1618687090 0.1618167544 0.1616561706 0.1618174279
0.0101569000 0.1616255914 0.1608819594 0.1597573530 0.1605465328 0.1616778999 0.1616241602 0.1614632530 0.1616255917
0.0126961250 0.1615729241 0.1608250183 0.1596949791 0.1604929772 0.1616269761 0.1615714278 0.1614102332 0.1615729244
0.0152353500 0.1616592207 0.1609073801 0.1597725474 0.1605794031 0.1617157290 0.1616583485 0.1614969023 0.1616592210
0.0177745750 0.1618842078 0.1611287709 0.1599897827 0.1608055335 0.1619438816 0.1618846450 0.1617229829 0.1618842081
0.0203137999 0.1622475444 0.1614888488 0.1603463414 0.1611710230 0.1623110886 0.1622499717 0.1620881292 0.1622475447
0.0228530249 0.1627488218 0.1619872045 0.1608418118 0.1616754582 0.1628169368 0.1627539154 0.1625919275 0.1627488222
0.0253922499 0.1633875646 0.1626233610 0.1614757146 0.1623183582 0.1634609455 0.1633959950 0.1632338967 0.1633875650
0.0279314749 0.1641632305 0.1633967749 0.1622475034 0.1630991748 0.1642425671 0.1641756628 0.1640134887 0.1641632308
0.0304706999 0.1650752111 0.1643068363 0.1631565653 0.1640172932 0.1651611875 0.1650923045 0.1649300888 0.1650752114
0.0330099249 0.1661228327 0.1653528698 0.1642022212 0.1650720326 0.1662161267 0.1661452399 0.1659830164 0.1661228331
0.0355491499 0.1673053566 0.1665341348 0.1653837266 0.1662626468 0.1674066396 0.1673337236 0.1671715258 0.1673053570
0.0380883749 0.1686219801 0.1678498265 0.1667002725 0.1675883249 0.1687319164 0.1686569455 0.1684948065 0.1686219805
0.0406275999 0.1700718368 0.1692990763 0.1681509859 0.1690481921 0.1701910835 0.1701140320 0.1699519844 0.1700718372
0.0431668249 0.1716539979 0.1708809530 0.1697349306 0.1706413104 0.1717832044 0.1717040462 0.1715421221 0.1716539984
0.0457060499 0.1733674727 0.1725944633 0.1714511082 0.1723666794 0.1735072805 0.1734259892 0.1732642204 0.1733674732
0.0482452749 0.1752112098 0.1744385529 0.1732984588 0.1742232375 0.1753622519 0.1752788010 0.1751172185 0.1752112103
0.0507844999 0.1771840975 0.1764121074 0.1752758622 0.1762098627 0.1773469984 0.1772613611 0.1770999955 0.1771840980
0.0533237249 0.1792849655 0.1785139533 0.1773821387 0.1783253733 0.1794603405 0.1793724898 0.1792113711 0.1792849660
0.0558629499 0.1815125854 0.1807428590 0.1796160504 0.1805685296 0.1817010406 0.1816109492 0.1814501068 0.1815125860
0.0584021749 0.1838656722 0.1830975358 0.1819763020 0.1829380343 0.1840678039 0.1839754442 0.1838149070 0.1838656727
0.0609413998 0.1863428848 0.1855766395 0.1844615419 0.1854325341 0.1865592795 0.1864646238 0.1863044199 0.1863428854
0.0634806248 0.1889428281 0.1881787708 0.1870703640 0.1880506208 0.1891740618 0.1890770822 0.1889172390 0.1889428287
0.0660198498 0.1916640532 0.1909024774 0.1898013079 0.1907908324 0.1919106918 0.1918113598 0.1916519043 0.1916640539
0.0685590748 0.1945050596 0.1937462543 0.1926528612 0.1936516544 0.1947676577 0.1946659448 0.1945069031 0.1945050603
0.0710982998 0.1974642958 0.1967085461 0.1956234602 0.1966315213 0.1977433971 0.1976392746 0.1974806720 0.1974642965
0.0736375248 0.2005401609 0.1997877475 0.1987114913 0.1997288176 0.2008362977 0.2007297365 0.2005715978 0.2005401616
0.0761767498 0.2037310059 0.2029822050 0.2019152924 0.2029418793 0.2040446988 0.2039356697 0.2037780188 0.2037310066
0.0787159748 0.2070351351 0.2062902186 0.2052331546 0.2062689956 0.2073668931 0.2072553666 0.2070982265 0.2070351359
0.0812551998 0.2104508077 0.2097100425 0.2086633231 0.2097084099 0.2108011274 0.2106870737 0.2105304669 0.2104508085
0.0837944248 0.2139762389 0.2132398872 0.2122039990 0.2132583215 0.2143456048 0.2142289939 0.2140729418 0.2139762398
0.0863336498 0.2176096018 0.2168779208 0.2158533410 0.2169168871 0.2179984858 0.2178792873 0.2177238107 0.2176096027
0.0888728748 0.2213490284 0.2206222703 0.2196094663 0.2206822222 0.2217578896 0.2216360732 0.2214811919 0.2213490293
0.0914120998 0.2251926117 0.2244710234 0.2234704527 0.2245524026 0.2256218962 0.2254974312 0.2253431643 0.2251926126
0.0939513248 0.2291384067 0.2284222300 0.2274343400 0.2285254664 0.2295885478 0.2294614031 0.2293077686 0.2291384077
0.0964905498 0.2331844325 0.2324739036 0.2314991313 0.2325994149 0.2336558498 0.2335259944 0.2333730096 0.2331844334
0.0990297747 0.2373286732 0.2366240231 0.2356627951 0.2367722147 0.2378217732 0.2376891756 0.2375368570 0.2373286742
0.1015689997 0.2415690804 0.2408705343 0.2399232665 0.2410417992 0.2420842559 0.2419488845 0.2417972474 0.2415690814
0.1041082247 0.2459035740 0.2452113516 0.2442784491 0.2454060702 0.2464412041 0.2463030271 0.2461520860 0.2459035751
0.1066474497 0.2503300444 0.2496443595 0.2487262164 0.2498628996 0.2508904942 0.2507494795 0.2505992481 0.2503300455
0.1091866747 0.2548463537 0.2541674143 0.2532644138 0.2544101308 0.2554299744 0.2552860898 0.2551365809 0.2548463548
0.1117258997 0.2594503377 0.2587783460 0.2578908599 0.2590455808 0.2600574665 0.2599106796 0.2597619047 0.2594503388
0.1142651247 0.2641398073 0.2634749594 0.2626033482 0.2637670416 0.2647707671 0.2646210453 0.2644730153 0.2641398084
0.1168043497 0.2689125503 0.2682550365 0.2673996491 0.2685722817 0.2695676499 0.2694149603 0.2692676850 0.2689125515
0.1193435747 0.2737663332 0.2731163375 0.2722775113 0.2734590482 0.2744458668 0.2742901766 0.2741436648 0.2737663344
0.1218827997 0.2786989025 0.2780566027 0.2772346636 0.2784250683 0.2794031502 0.2792444260 0.2790986858 0.2786989037
0.1244220247 0.2837079866 0.2830735545 0.2822688164 0.2834680507 0.2844372138 0.2842754225 0.2841304606 0.2837079879
0.1269612497 0.2887912974 0.2881648985 0.2873776636 0.2885856879 0.2895457552 0.2893808633 0.2892366857 0.2887912987
0.1295004747 0.2939465321 0.2933283256 0.2925588840 0.2937756571 0.2947264571 0.2945584309 0.2944150426 0.2939465335
0.1320396997 0.2991713746 0.2985615133 0.2978101434 0.2990356225 0.2999769887 0.2998057945 0.2996631994 0.2991713760
0.1345789247 0.3044634974 0.3038621278 0.3031290959 0.3043632366 0.3052950079 0.3051206120 0.3049788131 0.3044634989
0.1371181497 0.3098205630 0.3092278252 0.3085133854 0.3097561421 0.3106781629 0.3105005311 0.3103595304 0.3098205645
0.1396573746 0.3152402257 0.3146562533 0.3139606477 0.3152119732 0.3161240932 0.3159431915 0.3158029901 0.3152402272
0.1421965996 0.3207201329 0.3201450534 0.3194685119 0.3207283576 0.3216304320 0.3214462262 0.3213068240 0.3207201344
0.1447358246 0.3262579273 0.3256918614 0.3250346019 0.3263029179 0.3271948073 0.3270072631 0.3268686592 0.3262579289
0.1472750496 0.3318512479 0.3312943101 0.3306565382 0.3319332731 0.3328148436 0.3326239267 0.3324861192 0.3318512495
0.1498142746 0.3374977318 0.3369500300 0.3363319392 0.3376170404 0.3384881638 0.3382938397 0.3381568257 0.3374977335
0.1523534996 0.3431950158 0.3426566515 0.3420584232 0.3433518367 0.3442123902 0.3440146245 0.3438784000 0.3431950174
0.1548927246 0.3489407376 0.3484118060 0.3478336093 0.3491352800 0.3499851465 0.3497839046 0.3496484648 0.3489407393
0.1574319496 0.3547325379 0.3542131275 0.3536551195 0.3549649910 0.3558040589 0.3555993063 0.3554646454 0.3547325396
0.1599711746 0.3605680611 0.3600582542 0.3595205801 0.3608385947 0.3616667581 0.3614584601 0.3613245714 0.3605680629
0.1625103996 0.3664449577 0.3659448301 0.3654276227 0.3667537217 0.3675708803 0.3673590023 0.3672258780 0.3664449595
0.1650496246 0.3723608848 0.3718705059 0.3713738862 0.3727080098 0.3735140687 0.3732985763 0.3731662076 0.3723608866
0.1675888496 0.3783135080 0.3778329409 0.3773570180 0.3786991052 0.3794939755 0.3792748339 0.3791432113 0.3783135099
0.1701280746 0.3843005029 0.3838298043 0.3833746754 0.3847246641 0.3855082622 0.3852854369 0.3851545499 0.3843005048
0.1726672996 0.3903195559 0.3898587763 0.3894245268 0.3907823541 0.3915546021 0.3913280585 0.3911978955 0.3903195578
0.1752065246 0.3963683661 0.3959175498 0.3955042533 0.3968698551 0.3976306807 0.3974003844 0.3972709332 0.3963683681
0.1777457496 0.4024446465 0.4020038313 0.4016115499 0.4029848613 0.4037341978 0.4035001143 0.4033713615 0.4024446485
0.1802849745 0.4085461247 0.4081153425 0.4077441266 0.4091250818 0.4098628680 0.4096249630 0.4094968944 0.4085461267
0.1828241995 0.4146705448 0.4142498214 0.4138997099 0.4152882422 0.4160144226 0.4157726617 0.4156452623 0.4146705469
0.1853634245 0.4208156683 0.4204050233 0.4200760440 0.4214720857 0.4221866102 0.4219409594 0.4218142132 0.4208156705
0.1879026495 0.4269792754 0.4265787224 0.4262708916 0.4276743745 0.4283771984 0.4281276235 0.4280015139 0.4269792776
0.1904418745 0.4331591658 0.4327687125 0.4324820355 0.4338928904 0.4345839747 0.4343304418 0.4342049510 0.4331591680
0.1929810995 0.4393531601 0.4389728084 0.4387072794 0.4401254364 0.4408047474 0.4405472228 0.4404223324 0.4393531624
0.1955203245 0.4455591009 0.4451888466 0.4449444491 0.4463698378 0.4470373472 0.4467757970 0.4466514879 0.4455591032
0.1980595495 0.4517748535 0.4514146869 0.4511913935 0.4526239427 0.4532796276 0.4530140184 0.4528902704 0.4517748558
0.2005987745 0.4579983072 0.4576482128 0.4574459855 0.4588856234 0.4595294662 0.4592597647 0.4591365570 0.4579983096
0.2031379995 0.4642273761 0.4638873329 0.4637061233 0.4651527774 0.4657847658 0.4655109388 0.4653882498 0.4642273785
0.2056772245 0.4704599999 0.4701299813 0.4699697307 0.4714233282 0.4720434550 0.4717654696 0.4716432769 0.4704600024
0.2082164495 0.4766941452 0.4763741190 0.4762347585 0.4776952260 0.4783034894 0.4780213128 0.4778995934 0.4766941477
0.2107556745 0.4829278058 0.4826177347 0.4824991854 0.4839664489 0.4845628520 0.4842764518 0.4841551818 0.4829278083
0.2132948995 0.4891590039 0.4888588451 0.4887610182 0.4902350035 0.4908195547 0.4905288984 0.4904080533 0.4891590064
0.2158341245 0.4953857905 0.4950954962 0.4950182934 0.4964989256 0.4970716381 0.4967766939 0.4966562485 0.4953857930
0.2183733494 0.5016062466 0.5013257637 0.5012690770 0.5027562812 0.5033171733 0.5030179093 0.5028978377 0.5016062492
0.2209125744 0.5078184834 0.5075477540 0.5075114662 0.5090051668 0.5095542617 0.5092506465 0.5091309220 0.5078184861
0.2234517994 0.5140206435 0.5137596044 0.5137435892 0.5152437105 0.5157810361 0.5154730385 0.5153536341 0.5140206461
0.2259910244 0.5202109007 0.5199594844 0.5199636063 0.5214700722 0.5219956614 0.5216832505 0.5215641383 0.5202109034
0.2285302494 0.5263874615 0.5261455953 0.5261697102 0.5276824447 0.5281963348 0.5278794800 0.5277606317 0.5263874642
0.2310694744 0.5325485649 0.5323161717 0.5323601270 0.5338790534 0.5343812866 0.5340599577 0.5339413442 0.5325485676
0.2336086994 0.5386924834 0.5384694816 0.5385331160 0.5400581578 0.5405487808 0.5402229478 0.5401045396 0.5386924862
0.2361479244 0.5448175232 0.5446038266 0.5446869708 0.5462180513 0.5466971151 0.5463667485 0.5462485156 0.5448175260
0.2386871494 0.5509220246 0.5507175428 0.5508200194 0.5523570618 0.5528246220 0.5524896925 0.5523716043 0.5509220275
0.2412263744 0.5570043627 0.5568090010 0.5569306248 0.5584735521 0.5589296686 0.5585901474 0.5584721727 0.5570043655
0.2437655994 0.5630629472 0.5628766069 0.5630171851 0.5645659203 0.5650106573 0.5646665160 0.5645486232 0.5630629501
0.2463048244 0.5690962233 0.5689188016 0.5690781340 0.5706326001 0.5710660259 0.5707172364 0.5705993935 0.5690962263
0.2488440494 0.5751026718 0.5749340620 0.5751119410 0.5766720611 0.5770942481 0.5767407827 0.5766229572 0.5751026748
0.2513832744 0.5810808091 0.5809209007 0.5811171120 0.5826828091 0.5830938337 0.5827356652 0.5826178242 0.5810808121
0.2539224994 0.5870291877 0.5868778666 0.5870921887 0.5886633860 0.5890633287 0.5887004303 0.5885825403 0.5870291908
0.2564617244 0.5929463963 0.5928035447 0.5930357498 0.5946123705 0.5950013154 0.5946336607 0.5945156881 0.5929463994
0.2590009493 0.5988310599 0.5986965566 0.5989464105 0.6005283779 0.6009064129 0.6005339761 0.6004158868 0.5988310630
0.2615401743 0.6046818400 0.6045555605 0.6048228226 0.6064100602 0.6067772771 0.6064000326 0.6062817922 0.6046818431
0.2640793993 0.6104974347 0.6103792511 0.6106636750 0.6122561065 0.6126126004 0.6122305232 0.6121120969 0.6104974378
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2.3437046691 0.3372868431 0.3373747441 0.3371850704 0.3363211824 0.3369224508 0.3382316497 0.3387038577 0.3372868413
2.3462438941 0.3368942468 0.3369808595 0.3367899260 0.3359317939 0.3365435855 0.3378594337 0.3383333301 0.3368942450
2.3487831191 0.3364989482 0.3365842666 0.3363920698 0.3355397072 0.3361620053 0.3374844699 0.3379600428 0.3364989464
2.3513223441 0.3361009368 0.3361849550 0.3359914913 0.3351449119 0.3357776990 0.3371067468 0.3375839842 0.3361009349
2.3538615690 0.3357002022 0.3357829144 0.3355881804 0.3347473974 0.3353906558 0.3367262534 0.3372051430 0.3357002003
2.3564007940 0.3352967344 0.3353781349 0.3351821274 0.3343471538 0.3350008651 0.3363429787 0.3368235084 0.3352967326
2.3589400190 0.3348905238 0.3349706070 0.3347733227 0.3339441713 0.3346083168 0.3359569122 0.3364390697 0.3348905220
2.3614792440 0.3344815610 0.3345603212 0.3343617571 0.3335384405 0.3342130008 0.3355680438 0.3360518168 0.3344815592
2.3640184690 0.3340698370 0.3341472688 0.3339474218 0.3331299523 0.3338149077 0.3351763636 0.3356617395 0.3340698352
2.3665576940 0.3336553430 0.3337314409 0.3335303082 0.3327186979 0.3334140281 0.3347818619 0.3352688283 0.3336553412
2.3690969190 0.3332380706 0.3333128293 0.3331104080 0.3323046688 0.3330103531 0.3343845295 0.3348730738 0.3332380687
2.3716361440 0.3328180116 0.3328914260 0.3326877134 0.3318878568 0.3326038739 0.3339843574 0.3344744670 0.3328180098
2.3741753690 0.3323951583 0.3324672232 0.3322622167 0.3314682541 0.3321945824 0.3335813371 0.3340729993 0.3323951565
2.3767145940 0.3319695033 0.3320402135 0.3318339106 0.3310458531 0.3317824704 0.3331754603 0.3336686622 0.3319695014
2.3792538190 0.3315410393 0.3316103899 0.3314027882 0.3306206466 0.3313675303 0.3327667189 0.3332614478 0.3315410374
2.3817930440 0.3311097595 0.3311777456 0.3309688427 0.3301926277 0.3309497546 0.3323551053 0.3328513483 0.3311097576
2.3843322690 0.3306756574 0.3307422741 0.3305320680 0.3297617899 0.3305291364 0.3319406122 0.3324383562 0.3306756555
2.3868714940 0.3302387268 0.3303039695 0.3300924579 0.3293281269 0.3301056689 0.3315232326 0.3320224646 0.3302387250
2.3894107190 0.3297989619 0.3298628258 0.3296500068 0.3288916327 0.3296793457 0.3311029597 0.3316036667 0.3297989600
2.3919499440 0.3293563570 0.3294188377 0.3292047093 0.3284523018 0.3292501607 0.3306797872 0.3311819560 0.3293563552
2.3944891689 0.3289109070 0.3289719999 0.3287565603 0.3280101288 0.3288181082 0.3302537092 0.3307573265 0.3289109052
2.3970283939 0.3284626070 0.3285223078 0.3283055553 0.3275651088 0.3283831826 0.3298247198 0.3303297724 0.3284626051
2.3995676189 0.3280114523 0.3280697566 0.3278516897 0.3271172371 0.3279453789 0.3293928137 0.3298992883 0.3280114505
2.4021068439 0.3275574388 0.3276143424 0.3273949595 0.3266665094 0.3275046923 0.3289579859 0.3294658690 0.3275574369
2.4046460689 0.3271005624 0.3271560613 0.3269353609 0.3262129217 0.3270611184 0.3285202316 0.3290295098 0.3271005606
2.4071852939 0.3266408197 0.3266949097 0.3264728906 0.3257564704 0.3266146530 0.3280795464 0.3285902062 0.3266408178
2.4097245189 0.3261782072 0.3262308844 0.3260075455 0.3252971521 0.3261652922 0.3276359263 0.3281479541 0.3261782053
2.4122637439 0.3257127221 0.3257639826 0.3255393228 0.3248349637 0.3257130327 0.3271893676 0.3277027498 0.3257127202
2.4148029689 0.3252443617 0.3252942018 0.3250682200 0.3243699027 0.3252578712 0.3267398668 0.3272545897 0.3252443598
2.4173421939 0.3247731237 0.3248215397 0.3245942350 0.3239019665 0.3247998050 0.3262874208 0.3268034707 0.3247731218
2.4198814189 0.3242990061 0.3243459945 0.3241173661 0.3234311532 0.3243388315 0.3258320270 0.3263493900 0.3242990042
2.4224206439 0.3238220073 0.3238675645 0.3236376119 0.3229574611 0.3238749485 0.3253736829 0.3258923453 0.3238220054
2.4249598689 0.3233421260 0.3233862486 0.3231549711 0.3224808887 0.3234081543 0.3249123864 0.3254323343 0.3233421241
2.4274990939 0.3228593612 0.3229020459 0.3226694430 0.3220014350 0.3229384473 0.3244481359 0.3249693552 0.3228593593
2.4300383189 0.3223737121 0.3224149557 0.3221810270 0.3215190993 0.3224658263 0.3239809297 0.3245034066 0.3223737102
2.4325775438 0.3218851785 0.3219249778 0.3216897232 0.3210338811 0.3219902904 0.3235107669 0.3240344873 0.3218851766
2.4351167688 0.3213937604 0.3214321123 0.3211955315 0.3205457804 0.3215118392 0.3230376468 0.3235625966 0.3213937584
2.4376559938 0.3208994579 0.3209363596 0.3206984526 0.3200547974 0.3210304724 0.3225615688 0.3230877339 0.3208994560
2.4401952188 0.3204022719 0.3204377204 0.3201984872 0.3195609326 0.3205461902 0.3220825329 0.3226098992 0.3204022699
2.4427344438 0.3199022031 0.3199361958 0.3196956366 0.3190641870 0.3200589929 0.3216005394 0.3221290925 0.3199022012
2.4452736688 0.3193992530 0.3194317871 0.3191899021 0.3185645617 0.3195688815 0.3211155887 0.3216453145 0.3193992511
2.4478128938 0.3188934231 0.3189244960 0.3186812856 0.3180620583 0.3190758569 0.3206276818 0.3211585660 0.3188934212
2.4503521188 0.3183847153 0.3184143246 0.3181697893 0.3175566787 0.3185799206 0.3201368199 0.3206688481 0.3183847134
2.4528913438 0.3178731320 0.3179012752 0.3176554155 0.3170484251 0.3180810745 0.3196430046 0.3201761624 0.3178731300
2.4554305688 0.3173586756 0.3173853505 0.3171381670 0.3165372999 0.3175793204 0.3191462377 0.3196805107 0.3173586736
2.4579697938 0.3168413491 0.3168665535 0.3166180470 0.3160233059 0.3170746610 0.3186465214 0.3191818952 0.3168413471
2.4605090188 0.3163211556 0.3163448874 0.3160950589 0.3155064464 0.3165670988 0.3181438583 0.3186803184 0.3163211537
2.4630482438 0.3157980989 0.3158203560 0.3155692064 0.3149867248 0.3160566370 0.3176382512 0.3181757831 0.3157980969
2.4655874688 0.3152721826 0.3152929631 0.3150404935 0.3144641450 0.3155432790 0.3171297034 0.3176682925 0.3152721807
2.4681266938 0.3147434110 0.3147627132 0.3145089247 0.3139387109 0.3150270283 0.3166182183 0.3171578499 0.3147434091
2.4706659188 0.3142117887 0.3142296106 0.3139745047 0.3134104271 0.3145078891 0.3161037997 0.3166444594 0.3142117867
2.4732051437 0.3136773203 0.3136936605 0.3134372384 0.3128792982 0.3139858657 0.3155864519 0.3161281249 0.3136773183
2.4757443687 0.3131400111 0.3131548680 0.3128971312 0.3123453294 0.3134609628 0.3150661793 0.3156088510 0.3131400091
2.4782835937 0.3125998664 0.3126132386 0.3123541888 0.3118085261 0.3129331853 0.3145429868 0.3150866423 0.3125998645
2.4808228187 0.3120568922 0.3120687782 0.3118084171 0.3112688939 0.3124025386 0.3140168794 0.3145615041 0.3120568902
2.4833620437 0.3115110944 0.3115214931 0.3112598224 0.3107264389 0.3118690282 0.3134878626 0.3140334417 0.3115110924
2.4859012687 0.3109624795 0.3109713896 0.3107084113 0.3101811673 0.3113326601 0.3129559422 0.3135024609 0.3109624775
2.4884404937 0.3104110541 0.3104184746 0.3101541907 0.3096330858 0.3107934406 0.3124211243 0.3129685677 0.3104110521
2.4909797187 0.3098568253 0.3098627553 0.3095971679 0.3090822014 0.3102513761 0.3118834152 0.3124317685 0.3098568233
2.4935189437 0.3092998004 0.3093042389 0.3090373503 0.3085285213 0.3097064737 0.3113428217 0.3118920700 0.3092997984
2.4960581687 0.3087399871 0.3087429334 0.3084747457 0.3079720531 0.3091587404 0.3107993508 0.3113494793 0.3087399851
2.4985973937 0.3081773932 0.3081788466 0.3079093624 0.3074128047 0.3086081837 0.3102530099 0.3108040036 0.3081773912
2.5011366187 0.3076120271 0.3076119870 0.3073412088 0.3068507841 0.3080548115 0.3097038066 0.3102556506 0.3076120251
2.5036758437 0.3070438973 0.3070423632 0.3067702936 0.3062860000 0.3074986319 0.3091517489 0.3097044283 0.3070438953
2.5062150687 0.3064730126 0.3064699842 0.3061966259 0.3057184611 0.3069396533 0.3085968451 0.3091503449 0.3064730106
2.5087542937 0.3058993822 0.3058948591 0.3056202150 0.3051481765 0.3063778844 0.3080391038 0.3085934089 0.3058993802
2.5112935186 0.3053230156 0.3053169977 0.3050410706 0.3045751555 0.3058133343 0.3074785339 0.3080336294 0.3053230136
2.5138327436 0.3047439225 0.3047364096 0.3044592027 0.3039994079 0.3052460122 0.3069151445 0.3074710154 0.3047439206
2.5163719686 0.3041621131 0.3041531051 0.3038746214 0.3034209436 0.3046759279 0.3063489452 0.3069055764 0.3041621111
2.5189111936 0.3035775975 0.3035670947 0.3032873374 0.3028397729 0.3041030912 0.3057799458 0.3063373223 0.3035775955
2.5214504186 0.3029903865 0.3029783889 0.3026973614 0.3022559064 0.3035275123 0.3052081564 0.3057662631 0.3029903845
2.5239896436 0.3024004910 0.3023869990 0.3021047046 0.3016693549 0.3029492018 0.3046335874 0.3051924093 0.3024004890
2.5265288686 0.3018079223 0.3017929362 0.3015093785 0.3010801296 0.3023681705 0.3040562495 0.3046157715 0.3018079203
2.5290680936 0.3012126918 0.3011962120 0.3009113947 0.3004882420 0.3017844295 0.3034761537 0.3040363607 0.3012126898
2.5316073186 0.3006148113 0.3005968385 0.3003107652 0.2998937037 0.3011979902 0.3028933113 0.3034541883 0.3006148093
2.5341465436 0.3000142930 0.2999948277 0.2997075023 0.2992965268 0.3006088643 0.3023077339 0.3028692657 0.3000142910
2.5366857686 0.2994111491 0.2993901922 0.2991016186 0.2986967235 0.3000170637 0.3017194334 0.3022816050 0.2994111471
breaks <- c("0.00", "0.25", "0.50", "1.00", "2.00", "5.00", "$\\infty$", "Jastrow")

data.0 <- data.frame(mu=breaks[1], x=tmp_data$R, n=tmp_data$X0.0)
data.0.25 <- data.frame(mu=breaks[2], x=tmp_data$R, n=tmp_data$X0.25)
data.0.5 <- data.frame(mu=breaks[3], x=tmp_data$R, n=tmp_data$X0.5)
data.1.0 <- data.frame(mu=breaks[4], x=tmp_data$R, n=tmp_data$X1.0)
data.2.0 <- data.frame(mu=breaks[5], x=tmp_data$R, n=tmp_data$X2.0)
data.5.0 <- data.frame(mu=breaks[6], x=tmp_data$R, n=tmp_data$X5.0)
data.inf <- data.frame(mu=breaks[7], x=tmp_data$R, n=tmp_data$Inf.)
data.J <- data.frame(mu=breaks[8], x=tmp_data$R, n=tmp_data$Jastrow)


data <- rbind(data.0, data.0.25, data.0.5, data.1.0, data.inf)

labels= TeX(breaks)

p <- ggplot(data, aes(x=x, y=n, col=mu))
p <- p + geom_line(lwd=1.5)
p <- p + geom_line(data=data.J, lwd=1, col=1, linetype="dashed")
p <- p + scale_colour_discrete(name = TeX("$\\mu$"), breaks = breaks, 
                              labels = labels)
p <- p + scale_x_continuous(name=TeX("$r_{O-H}$ (bohr)"))
p <- p + scale_y_continuous(name = "Density (a.u.)")
p <- p + theme(text = element_text(size = 20, family="Times"), legend.position=c(.85,.75), legend.text.align = 0)
p

figure8UCABt.png

pdf("../Manuscript/density-mu.pdf", family="Times", width=8, height=5)
p
dev.off()

3.7 Optimal mu

Find the optimal \(\mu\) in VDZ-BFD for each molecule and atom, making a spline interpolation of the total energy wrt \(\mu\).

rows <- list()
j <- 0
for (mol in levels(ref$"Molecule") )
{
    data <- subset(raw_data, (Method == "DMC" & Basis == "VDZ-BFD" & Molecule == mol & Mu != "opt"))
    data$"Mu" <- as.numeric(levels(factor(data$"Mu")))
    vdz        <- data["Mu"]
    vdz$"X"    <- data$"Mu"/(data$"Mu"+1.)
    vdz$"E"    <- data$"TotalEnergy"
    vdz$"E.lo" <- data$"TotalEnergy" - data$"TotalEnergyErr"
    vdz$"E.hi" <- data$"TotalEnergy" + data$"TotalEnergyErr"
    vdz$"Basis" <- "DZ"
    vdz$"X"[7] <- 1.
    vdz$"Mu"[7] <- TeX("$\\infty$")
    vdz.spline_int <- as.data.frame(spline(vdz$"X", vdz$"E", n=101))
    vdz.spline_int_lo <- as.data.frame(spline(vdz$"X", vdz$"E.lo", n=101))
    vdz.spline_int_hi <- as.data.frame(spline(vdz$"X", vdz$"E.hi", n=101))
    Emin = min(vdz.spline_int)
    i <- which(vdz.spline_int$y == Emin)
    x <- vdz.spline_int$x[i]
    Eerr <- (vdz.spline_int_hi$y - vdz.spline_int_lo$y)[i] 
    mu <- x / (1-x)
    dat <- data.frame("Molecule"=mol, "Mu"=mu, "TotalEnergy"=Emin, "TotalEnergyErr"=Eerr)
    j <- j + 1
    rows[[j]] <- dat
}
mu_opt = do.call(rbind, rows)
mu_opt


      Molecule         Mu TotalEnergy TotalEnergyErr
   1        Be  0.9607843  -1.0079614   2.173233e-05
   2       BeH  0.5625000  -1.5805161   4.068057e-04
   3         C  2.8461538  -5.4320135   2.059806e-04
   4      C2H2  2.1250000 -12.4978013   1.693722e-03
   5      C2H4  2.0303030 -13.7496647   3.523223e-03
   6      C2H6  2.0303030 -14.9862617   3.724296e-03
   7        CH  2.1250000  -6.0641416   4.574218e-04
   8   CH2_1A1  3.3478261  -6.7168953   1.009787e-03
   9   CH2_3B1  3.1666667  -6.7315432   8.764694e-04
   10      CH3  1.2727273  -7.4162297   5.308939e-04
   11    CH3Cl  3.5454545 -22.5123920   4.244907e-03
   12      CH4  1.7777778  -8.0950234   7.120921e-04
   13       Cl        Inf -14.9623070   5.120000e-04
   14      Cl2  2.5714286 -30.0152821   4.434831e-03
   15      ClF        Inf -39.2471030   2.942000e-03
   16      ClO  2.7037037 -30.9557206   3.401803e-03
   17       CN  2.3333333 -15.5136584   1.488025e-03
   18       CO  2.4482759 -21.7422902   1.696402e-03
   19      CO2        Inf -37.8388280   3.554000e-03
   20       CS  3.7619048 -15.8228209   2.003207e-03
   21        F  3.1666667 -24.1949308   7.392111e-04
   22       F2  4.8823529 -48.4453257   4.050066e-03
   23        H  0.0000000  -0.5000310   3.600000e-05
   24     H2CO  2.7037037 -22.9171504   3.310751e-03
   25      H2O  2.2258065 -17.2591427   1.461277e-03
   26     H2O2 13.2857143 -33.2120191   4.669681e-03
   27      H2S  2.4482759 -11.4106146   3.902506e-04
   28    H3COH        Inf -24.1332880   2.934000e-03
   29    H3CSH  2.4482759 -18.2993314   4.556780e-03
   30      HCl  3.3478261 -15.6303711   1.893109e-03
   31      HCN  2.3333333 -16.2207532   1.825870e-03
   32      HCO  2.0303030 -22.2673034   3.309960e-03
   33       HF  2.3333333 -24.9104641   1.191899e-03
   34     HOCl  4.5555556 -31.6166964   4.824617e-03
   35       Li  1.0000000  -0.1963480   2.000000e-05
   36      Li2  0.7241379  -0.4314668   3.606647e-05
   37      LiF  2.5714286 -24.6088294   1.550953e-03
   38      LiH  2.4482759  -0.7887656   3.051500e-05
   39        N  3.0000000  -9.7986423   3.119161e-04
   40       N2  2.1250000 -19.9524865   1.049009e-03
   41     N2H4  2.1250000 -22.2699021   4.249432e-03
   42       Na  0.6129032  -0.1821443   2.783626e-05
   43      Na2  0.0000000  -0.3911310   1.820000e-04
   44     NaCl  1.1276596 -15.3111605   5.178434e-03
   45       NH  2.3333333 -10.4264841   7.975760e-04
   46      NH2  2.1250000 -11.0809890   1.361988e-03
   47      NH3  1.8571429 -11.7605194   3.873311e-04
   48       NO  2.3333333 -25.9345353   2.074652e-03
   49        O  2.7037037 -15.9017109   5.379650e-04
   50       O2  4.2631579 -31.9858780   2.794749e-03
   51       OH  2.8461538 -16.5657619   1.069541e-03
   52        P  2.5714286  -6.4727488   3.693117e-04
   53       P2  2.8461538 -13.1215881   2.096992e-03
   54      PH2        Inf  -7.7124550   8.060000e-04
   55      PH3        Inf  -8.3503240   1.756000e-03
   56        S        Inf -10.1249220   3.820000e-04
   57       S2  6.6923077 -20.4034041   3.266097e-03
   58       Si        Inf  -3.7651370   1.260000e-04
   59      Si2  4.0000000  -7.6457229   9.500469e-04
   60    Si2H6  3.5454545 -11.3730815   3.866939e-03
   61 SiH2_1A1  6.1428571  -5.0079099   8.651497e-04
   62 SiH2_3B1  7.3333333  -4.9746405   7.553294e-04
   63     SiH3        Inf  -5.6243160   1.250000e-03
   64     SiH4  2.5714286  -6.2776917   9.959756e-04
   65      SiO  3.7619048 -19.9634153   1.961472e-03
   66       SO        Inf -26.2122290   4.822000e-03
   67      SO2  3.0000000 -42.2998947   6.613181e-03

3.8 Figure MAD DZ TZ QZ

data <- data.frame(ref["Molecule"])
data <- subset(raw_data, (Method == "DMC" & Basis == "VDZ-BFD" & AtomizationEnergy != 0.))
aggregate(ae.diff~Mu, na.omit(data), mad)

    Mu  ae.diff
1 0.00 4.606710
2 0.25 4.038558
3 0.50 3.743644
4 1.00 5.417523
5 2.00 5.977186
6 5.00 6.176869
7  inf 7.631149

data <- subset(raw_data, (Method == "DMC" & AtomizationEnergy != 0.))
fill <- "#4271AE"
line <- "#1F3552"
d = data[c("Mu","ae.diff","Molecule","Basis")]
d$Mu <- factor(d$Mu)

labels <- as.character(c("0.00", "0.25", "0.50", "1.00", "2.00", "5.00", "$\\infty$") )
labels[7] <- TeX(labels[7])
labels[8] <- "Optimal"
p <- ggplot(d, aes(x=Basis, y=ae.diff, color=Mu)) 
p <- p + scale_x_discrete(name="Basis set", limits=c("VDZ-BFD", "VTZ-BFD", "VQZ-BFD"),
                          labels=c("VDZ-BFD", "VTZ-BFD", "VQZ-BFD")
)
p <- p + scale_y_continuous(name = TeX("Error (kcal/mol)"))
p <- p + scale_colour_discrete(name = expression(mu), 
                             labels = labels)
p <- p + geom_boxplot(varwidth=FALSE,alpha = 1, outlier.shape = 3)
p <- p + geom_point(position = position_dodge(.75), alpha=.2, size=3, stroke=0)
p <- p + theme(text = element_text(size = 20, family="Times"))
p

figuresAk1pS.png

pdf("../Manuscript/g2-dmc.pdf", family="Times", width=16, height=5)
p
dev.off()

3.9 Figure Ndet DZ TZ QZ

data <- subset(raw_data, (Method == "DMC" & AtomizationEnergy != 0. & Mu != "opt"))
fill <- "#4271AE"
line <- "#1F3552"
d = data[c("Mu","Ndet","Molecule","Basis")]
d$Mu <- factor(d$Mu)

labels <- as.character(c("0.00", "0.25", "0.50", "1.00", "2.00", "5.00", "$\\infty$") )
labels[7] <- TeX(labels[7])
labels[8] <- "Optimal"
p <- ggplot(d, aes(x=Basis, y=Ndet, color=Mu)) 
p <- p + scale_x_discrete(name="Basis set", limits=c("VDZ-BFD", "VTZ-BFD", "VQZ-BFD"),
                          labels=c("VDZ-BFD", "VTZ-BFD", "VQZ-BFD")
)
p <- p + scale_y_continuous(name = TeX("Number of determinants"),  trans = "log10",
                            breaks = c(1, 10, 100, 1000, 1e4, 1e5, 1e6, 1e7),
                            labels = c("1", "10", "100", "1000", TeX("10^4"), TeX("10^5"), TeX("10^6"), TeX("10^7")))

p <- p + scale_colour_discrete(name = expression(mu), 
                               labels = labels)
p <- p + geom_boxplot(varwidth=FALSE,alpha = 1, outlier.shape = 3)
p <- p + geom_point(position = position_dodge(.75), alpha=.2, size=3, stroke=0)
p <- p + theme(text = element_text(size = 20, family="Times"))
p

figure4HIIzA.png

pdf("../Manuscript/g2-ndet.pdf", family="Times", width=16, height=5)
p
dev.off()

Author: Anthony Scemama, Emmanuel Giner, Anouar Benali, Pierre-François Loos

Created: 2020-08-23 Sun 16:36

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