sfBSE/output/Be/BSE@qsGW_output

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2021-01-15 11:04:59 +01:00
15 significant shell pairs computed in 0.000025 seconds
0
Computed Electron repulsion integrals Integrals in parallel in 0.006196 seconds
******************************************************************************************
* QuAcK QuAcK QuAcK *
* __ __ __ __ __ __ __ __ __ *
* <(o )___ <(o )___ <(o )___ <(o )___ <(o )___ <(o )___ <(o )___ <(o )___ <(o )___ *
* ( ._> / ( ._> / ( ._> / ( ._> / ( ._> / ( ._> / ( ._> / ( ._> / ( ._> / *
*|--------------------------------------------------------------------------------------|*
******************************************************************************************
----------------------
Number of atoms 1
----------------------
----------------------
Number of spin-up electron 3
Number of spin-down electron 1
Total number of electron 4
----------------------
----------------------
Number of core electron 0
Number of Rydberg electron 0
----------------------
------------------
Molecular geometry
------------------
Atom n. 1
Z = 4.0000000000
Atom coordinates: 0.0000000000 0.0000000000 0.0000000000
------------------
Nuclear repulsion energy = 0.0000000000
------------------
Gaussian basis set
------------------
Atom n. 1
number of shells 5
------------------
s-type shell with K = 6
Exponents Contraction
1264.5856900000 0.0019447576
189.9368060000 0.0148350520
43.1590890000 0.0720905463
12.0986627000 0.2371541500
3.8063232200 0.4691986519
1.2728903000 0.3565202279
s-type shell with K = 3
Exponents Contraction
3.1964630980 -0.1126487285
0.7478133038 -0.2295064079
0.2199663302 1.1869167640
s-type shell with K = 1
Exponents Contraction
0.0823099007 1.0000000000
p-type shell with K = 3
Exponents Contraction
3.1964630980 0.0559801998
0.7478133038 0.2615506110
0.2199663302 0.7939723389
p-type shell with K = 1
Exponents Contraction
0.0823099007 1.0000000000
------------------
Number of shells 5
------------------
------------------
Number of basis functions 9
------------------
Scaling integrals by 1.0000000000000000
Total CPU time for reading integrals = 0.001 seconds
Lowdin orthogonalization
************************************************
* Unrestricted Hartree-Fock calculation *
************************************************
----------------------------------------------------------
| # | E(UHF) | Ex(UHF) | Conv |
----------------------------------------------------------
| 1 | -9.9721029045 | -2.0953566404 | 1.000000 |
| 2 | -14.4210226712 | -2.8785772874 | 0.098608 |
| 3 | -14.4953149355 | -2.7893548498 | 0.042250 |
| 4 | -14.5050033288 | -2.7581278709 | 0.016759 |
| 5 | -14.5063217114 | -2.7475342080 | 0.006660 |
| 6 | -14.5065144688 | -2.7437993990 | 0.002675 |
| 7 | -14.5065445914 | -2.7424416130 | 0.001086 |
| 8 | -14.5065495355 | -2.7419354626 | 0.000444 |
| 9 | -14.5065503733 | -2.7417426132 | 0.000183 |
| 10 | -14.5065505181 | -2.7416677103 | 0.000076 |
| 11 | -14.5065505434 | -2.7416381324 | 0.000032 |
| 12 | -14.5065505478 | -2.7416262892 | 0.000013 |
| 13 | -14.5065505486 | -2.7416214930 | 0.000006 |
| 14 | -14.5065505487 | -2.7416195330 | 0.000002 |
| 15 | -14.5065505488 | -2.7416187262 | 0.000001 |
| 16 | -14.5065505488 | -2.7416183923 | 0.000000 |
| 17 | -14.5065505488 | -2.7416182535 | 0.000000 |
| 18 | -14.5065505488 | -2.7416181957 | 0.000000 |
----------------------------------------------------------
-------------------------------------------------
Summary
-------------------------------------------------
One-electron energy: -18.9311389165 au
One-electron a energy: -10.9912119933 au
One-electron b energy: -7.9399269232 au
Kinetic energy: 14.5581042628 au
Kinetic a energy: 7.7845610378 au
Kinetic b energy: 6.7735432250 au
Potential energy: -33.4892431793 au
Potential a energy: -18.7757730311 au
Potential b energy: -14.7134701482 au
-------------------------------------------------
Two-electron energy: 4.4245883678 au
Two-electron aa energy: 1.1932336284 au
Two-electron ab energy: 3.2313547394 au
Two-electron bb energy: 0.0000000000 au
Hartree energy: 7.1662065635 au
Hartree aa energy: 2.7997526399 au
Hartree ab energy: 3.2313547394 au
Hartree bb energy: 1.1350991842 au
Exchange energy: -2.7416181957 au
Exchange a energy: -1.6065190115 au
Exchange b energy: -1.1350991842 au
-------------------------------------------------
Electronic energy: -14.5065505488 au
Nuclear repulsion: 0.0000000000 au
UHF energy: -14.5065505488 au
-------------------------------------------------
UHF HOMO a energy: -6.448889 eV
UHF LUMO a energy: 1.306653 eV
UHF HOMOa-LUMOa gap: 7.755542 eV
-------------------------------------------------
UHF HOMO b energy: -128.126772 eV
UHF LUMO b energy: 0.905889 eV
UHF HOMOb-LUMOb gap : 129.032661 eV
-------------------------------------------------
S (exact) : 3.000000
S : 3.000000
<S**2> (exact) : 2.000000
<S**2> : 2.000000
-------------------------------------------------
Dipole moment (Debye)
X Y Z Tot.
0.000000 0.000000 0.000000 0.000000
-------------------------------------------------
-----------------------------------------
UHF spin-up orbital coefficients
-----------------------------------------
1 2 3 4 5
1 0.99757840 0.22433488 0.00000000 0.00000000 0.00000000
2 0.01808137 -0.35232016 0.00000000 0.00000000 0.00000000
3 -0.00536995 -0.70063722 0.00000000 0.00000000 0.00000000
4 0.00000000 0.00000000 -0.53634002 -0.01964709 0.03642320
5 0.00000000 0.00000000 0.00000000 0.27808757 0.15000360
6 0.00000000 0.00000000 0.07085886 -0.14871138 0.27569194
7 0.00000000 0.00000000 -0.54886156 -0.04729676 0.08768216
8 0.00000000 0.00000000 0.00000000 0.66944480 0.36110615
9 0.00000000 0.00000000 0.07251316 -0.35799535 0.66367777
6 7 8 9
1 0.00000000 -0.00978671 0.00000000 0.00000000
2 0.00000000 -2.00710393 0.00000000 0.00000000
3 0.00000000 1.92140976 0.00000000 0.00000000
4 1.22142423 0.00000000 0.01122086 0.17094564
5 0.00000000 0.00000000 1.30515347 -0.08567021
6 -0.16136914 0.00000000 0.08493219 1.29391003
7 -1.21584899 0.00000000 -0.00952235 -0.14506949
8 0.00000000 0.00000000 -1.10759159 0.07270226
9 0.16063256 0.00000000 -0.07207595 -1.09805008
-----------------------------------------
UHF spin-down orbital coefficients
-----------------------------------------
1 2 3 4 5
1 0.99781793 -0.22129021 0.00000000 0.00000000 0.00000000
2 0.01770722 -0.02073430 0.00000000 0.00000000 0.00000000
3 -0.00612257 1.04026501 0.00000000 0.00000000 0.00000000
4 0.00000000 0.00000000 -0.01285725 0.02043569 0.14863214
5 0.00000000 0.00000000 0.15602453 0.09816389 0.00000000
6 0.00000000 0.00000000 -0.09731824 0.15468043 -0.01963662
7 0.00000000 0.00000000 -0.06048857 0.09614229 0.88576256
8 0.00000000 0.00000000 0.73403704 0.46182436 0.00000000
9 0.00000000 0.00000000 -0.45784591 0.72771357 -0.11702302
6 7 8 9
1 0.00000000 0.00000000 0.03121871 0.00000000
2 0.00000000 0.00000000 -2.03768966 0.00000000
3 0.00000000 0.00000000 1.76083731 0.00000000
4 -0.00959284 0.17431589 0.00000000 -1.32568709
5 -1.33088497 -0.07324037 0.00000000 0.00000000
6 -0.07260943 1.31941986 0.00000000 0.17514389
7 0.00740452 -0.13455091 0.00000000 0.99747805
8 1.02728315 0.05653276 0.00000000 0.00000000
9 0.05604575 -1.01843347 0.00000000 -0.13178237
---------------------------------------
UHF spin-up orbital energies
---------------------------------------
1
1 -4.74712616
2 -0.38927141
3 -0.23699229
4 0.04801863
5 0.04801863
6 0.39370428
7 0.40988920
8 0.43513796
9 0.43513796
---------------------------------------
UHF spin-down orbital energies
---------------------------------------
1
1 -4.70857207
2 0.03329080
3 0.12673661
4 0.12673661
5 0.15961124
6 0.47922281
7 0.47922281
8 0.49186357
9 0.51235955
Total CPU time for UHF = 0.001 seconds
AO to MO transformation... Please be patient
Total CPU time for AO to MO transformation = 0.001 seconds
************************************************
| One-shot G0W0 calculation |
| *** Unrestricted version *** |
************************************************
Tamm-Dancoff approximation activated!
-------------------------------------------------------------
RPA@UHF calculation: spin-conserved manifold
-------------------------------------------------------------
| State | Excitation energy (au) | Excitation energy (eV) |
-------------------------------------------------------------
| 1 | 0.301673 | 8.208931 |
| 2 | 0.301673 | 8.208931 |
| 3 | 0.495256 | 13.476595 |
| 4 | 0.495256 | 13.476595 |
| 5 | 0.664016 | 18.068786 |
| 6 | 0.678515 | 18.463337 |
| 7 | 0.681585 | 18.546884 |
| 8 | 0.681585 | 18.546884 |
| 9 | 0.806855 | 21.955648 |
| 10 | 0.855869 | 23.289381 |
| 11 | 0.856160 | 23.297299 |
| 12 | 0.856160 | 23.297299 |
| 13 | 4.760931 | 129.551529 |
| 14 | 4.798555 | 130.575320 |
| 15 | 4.798555 | 130.575320 |
| 16 | 4.837455 | 131.633855 |
| 17 | 4.837455 | 131.633855 |
| 18 | 4.869807 | 132.514190 |
| 19 | 5.156163 | 140.306330 |
| 20 | 5.167652 | 140.618962 |
-------------------------------------------------------------
*** Quasiparticle energies obtained by linearization ***
--------------------------------------------------------------------------------------------------------------------------------
Unrestricted one-shot G0W0 calculation (eV)
--------------------------------------------------------------------------------------------------------------------------------
| | e_HF | Sig_c | Z | e_QP |
| #| up dw | up dw | up dw | up dw |
--------------------------------------------------------------------------------------------------------------------------------
| 1| -129.175882 -128.126772| 2.972974 2.868076| 0.892301 0.897159| -126.523094 -125.553653|
| 2| -10.592615 0.905889| 0.016891 -0.741062| 0.969734 0.965457| -10.576234 0.190425|
| 3| -6.448889 3.448679| 0.168181 -0.447188| 0.979999 0.970408| -6.284072 3.014724|
| 4| 1.306653 3.448679| -0.110841 -0.447188| 0.984833 0.970408| 1.197494 3.014724|
| 5| 1.306653 4.343243| -0.110841 -0.262704| 0.984833 0.985031| 1.197494 4.084472|
| 6| 10.713239 13.040317| -0.220768 -1.209004| 0.978456 0.791743| 10.497227 12.083096|
| 7| 11.153653 13.040317| -0.418786 -1.209004| 0.966367 0.791743| 10.748952 12.083096|
| 8| 11.840707 13.384290| -0.818342 -1.142127| 0.945109 0.916762| 11.067284 12.337231|
| 9| 11.840707 13.942014| -0.818342 -1.085519| 0.945109 0.926119| 11.067284 12.936694|
--------------------------------------------------------------------------------------------------------------------------------
UG0W0 HOMO energy: -6.284072 eV
UG0W0 LUMO energy: 0.190425 eV
UG0W0 HOMO-LUMO gap : 6.474497 eV
--------------------------------------------------------------------------------------------------------------------------------
RPA@UG0W0 total energy : -14.518568 au
RPA@UG0W0 correlation energy: -0.012018 au
GM@UG0W0 total energy : -14.528815 au
GM@UG0W0 correlation energy: -0.022265 au
--------------------------------------------------------------------------------------------------------------------------------
-------------------------------------------------------------
BSE@UGW calculation: spin-flip manifold
-------------------------------------------------------------
| State | Excitation energy (au) | Excitation energy (eV) |
-------------------------------------------------------------
| 1 | -0.084532 | -2.300242 |
| 2 | 0.003653 | 0.099402 |
| 3 | 0.068619 | 1.867213 |
| 4 | 0.068619 | 1.867213 |
| 5 | 0.143001 | 3.891249 |
| 6 | 0.201811 | 5.491558 |
| 7 | 0.201811 | 5.491558 |
| 8 | 0.259908 | 7.072443 |
| 9 | 0.365209 | 9.937851 |
| 10 | 0.377346 | 10.268119 |
| 11 | 0.380302 | 10.348538 |
| 12 | 0.380302 | 10.348538 |
| 13 | 0.514626 | 14.003674 |
| 14 | 0.514626 | 14.003674 |
| 15 | 0.560391 | 15.249025 |
| 16 | 0.564795 | 15.368849 |
| 17 | 4.226223 | 115.001373 |
| 18 | 4.242892 | 115.454980 |
| 19 | 4.242892 | 115.454980 |
| 20 | 4.367893 | 118.856432 |
-------------------------------------------------------------
-------------------------------------------------------------
Excitation n. 1: -2.300242 eV f = 0.0000 <S**2> = 0.0037
-------------------------------------------------------------
2A -> 5B = 0.195866
3A -> 2B = 0.970045
3A -> 8B = -0.120588
-------------------------------------------------------------
Excitation n. 2: 0.099402 eV f = 0.0000 <S**2> = 1.9985
-------------------------------------------------------------
2A -> 2B = 0.707214
2A -> 8B = -0.106883
3A -> 5B = 0.674487
3A -> 9B = -0.183005
-------------------------------------------------------------
Excitation n. 3: 1.867213 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
3A -> 3B = 0.381148
3A -> 4B = -0.908506
3A -> 7B = -0.167192
-------------------------------------------------------------
Excitation n. 4: 1.867213 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
3A -> 3B = -0.908506
3A -> 4B = -0.381148
3A -> 6B = 0.167192
-------------------------------------------------------------
Excitation n. 5: 3.891249 eV f = 0.0000 <S**2> = 0.0234
-------------------------------------------------------------
2A -> 2B = -0.686629
3A -> 5B = 0.717296
-------------------------------------------------------------
Excitation n. 6: 5.491558 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
2A -> 3B = -0.976791
2A -> 6B = 0.163785
2A -> 7B = 0.128946
-------------------------------------------------------------
Excitation n. 7: 5.491558 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
2A -> 4B = -0.976791
2A -> 6B = 0.128946
2A -> 7B = -0.163785
-------------------------------------------------------------
Excitation n. 8: 7.072443 eV f = 0.0000 <S**2> = 0.0133
-------------------------------------------------------------
2A -> 5B = -0.958868
2A -> 9B = 0.190086
3A -> 2B = 0.210445
-------------------------------------------------------------
Excitation n. 9: 9.937851 eV f = 0.0000 <S**2> = 0.9834
-------------------------------------------------------------
2A -> 2B = 0.125265
2A -> 8B = 0.287586
3A -> 5B = 0.167806
3A -> 9B = 0.934578
-------------------------------------------------------------
Excitation n. 10: 10.268119 eV f = 0.0000 <S**2> = 0.9972
-------------------------------------------------------------
2A -> 9B = 0.305560
3A -> 2B = 0.121316
3A -> 8B = 0.939179
-------------------------------------------------------------
Excitation n. 11: 10.348538 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
3A -> 3B = -0.140210
3A -> 6B = -0.985209
-------------------------------------------------------------
Excitation n. 12: 10.348538 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
3A -> 4B = 0.140210
3A -> 7B = -0.985209
-------------------------------------------------------------
Excitation n. 13: 14.003674 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
2A -> 3B = 0.166773
2A -> 4B = 0.125060
2A -> 6B = 0.977677
-------------------------------------------------------------
Excitation n. 14: 14.003674 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
2A -> 3B = 0.125060
2A -> 4B = -0.166773
2A -> 7B = 0.977677
-------------------------------------------------------------
Excitation n. 15: 15.249025 eV f = 0.0000 <S**2> = 0.9948
-------------------------------------------------------------
2A -> 2B = -0.112678
2A -> 8B = -0.946739
3A -> 9B = 0.297646
-------------------------------------------------------------
Excitation n. 16: 15.368849 eV f = 0.0000 <S**2> = 0.9857
-------------------------------------------------------------
2A -> 5B = -0.179874
2A -> 9B = -0.929728
3A -> 8B = 0.321310
-------------------------------------------------------------
Excitation n. 17: 115.001373 eV f = 0.0000 <S**2> = 1.0172
-------------------------------------------------------------
1A -> 2B = -0.950651
1A -> 8B = 0.310233
-------------------------------------------------------------
Excitation n. 18: 115.454980 eV f = 0.0000 <S**2> = 2.0000
-------------------------------------------------------------
1A -> 4B = -0.679768
1A -> 5B = 0.568999
1A -> 8B = -0.142778
1A -> 9B = 0.440193
-------------------------------------------------------------
Excitation n. 19: 115.454980 eV f = 0.0000 <S**2> = 2.0000
-------------------------------------------------------------
1A -> 4B = -0.568999
1A -> 5B = -0.679768
1A -> 8B = -0.440193
1A -> 9B = -0.142778
-------------------------------------------------------------
Excitation n. 20: 118.856432 eV f = 0.0000 <S**2> = 2.0000
-------------------------------------------------------------
1A -> 3B = 0.621799
1A -> 4B = -0.570321
1A -> 6B = -0.112937
1A -> 7B = -0.524731
Thomas-Reiche-Kuhn sum rule = 0.000000
-------------------------------------------------------------------------------
Tr@BSE@UG0W0 correlation energy (spin-conserved) = 0.0000000000
Tr@BSE@UG0W0 correlation energy (spin-flip) = 0.0000000000
Tr@BSE@UG0W0 correlation energy = 0.0000000000
Tr@BSE@UG0W0 total energy = -14.5065505488
-------------------------------------------------------------------------------
Total CPU time for G0W0 = 0.001 seconds
*************************************************
| Self-consistent unrestricted qsGW calculation |
*************************************************
!! ERIs in MO basis will be overwritten in qsUGW !!
Tamm-Dancoff approximation activated!
--------------------------------------------------------------------------------------------------------------------------------
Self-consistent qsG0W0 calculation
--------------------------------------------------------------------------------------------------------------------------------
| | e_HF | Sig_c | Z | e_QP |
| #| up dw | up dw | up dw | up dw |
--------------------------------------------------------------------------------------------------------------------------------
| 1| -129.175882 -128.126772| 2.977743 2.872275| 0.892301 0.897159| -126.203238 -125.258994|
| 2| -10.592615 0.905889| 0.005546 -1.349533| 0.969734 0.965457| -10.575544 0.124917|
| 3| -6.448889 3.448679| 0.097358 -0.633973| 0.979999 0.970408| -6.280709 2.938554|
| 4| 1.306653 3.448679| 0.085104 -1.077462| 0.984833 0.970408| 1.183818 2.938554|
| 5| 1.306653 4.343243| -0.657273 -1.500954| 0.984833 0.985031| 1.183818 4.057755|
| 6| 10.713239 13.040317| -0.644315 -1.493562| 0.978456 0.791743| 10.492474 11.894247|
| 7| 11.153653 13.040317| 0.107746 -0.175219| 0.966367 0.791743| 10.735012 11.894247|
| 8| 11.840707 13.384290| 0.006963 -0.258446| 0.945109 0.916762| 11.034358 12.282366|
| 9| 11.840707 13.942014| 0.008722 -0.256993| 0.945109 0.926119| 11.034358 12.879277|
--------------------------------------------------------------------------------------------------------------------------------
Iteration 0
max(|FPS - SPF|) = 1.00000
--------------------------------------------------------------------------------------------------------------------------------
qsUGW HOMO energy: -6.280709 eV
qsUGW LUMO energy: 0.124917 eV
qsUGW HOMO-LUMO gap : 6.405626 eV
--------------------------------------------------------------------------------------------------------------------------------
qsUGW total energy: -14.505948 au
qsUGW exchange energy: -2.741173 au
RPA@qsUGW correlation energy: -0.011804 au
--------------------------------------------------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------------------------------------------------
Self-consistent qsG1W1 calculation
--------------------------------------------------------------------------------------------------------------------------------
| | e_HF | Sig_c | Z | e_QP |
| #| up dw | up dw | up dw | up dw |
--------------------------------------------------------------------------------------------------------------------------------
| 1| -129.175882 -128.126772| 3.054765 2.938185| 0.887795 0.893593| -126.137400 -125.190095|
| 2| -10.592615 0.905889| -0.013098 -1.370382| 0.968444 0.961602| -10.577414 0.129595|
| 3| -6.448889 3.448679| 0.106614 -0.628145| 0.979140 0.964295| -6.277680 2.976413|
| 4| 1.306653 3.448679| 0.089484 -1.089898| 0.982914 0.964295| 1.188437 2.976413|
| 5| 1.306653 4.343243| -0.656167 -1.530222| 0.982914 0.981301| 1.188437 4.052065|
| 6| 10.713239 13.040317| -0.643152 -1.522537| 0.976627 0.787271| 10.485724 11.852086|
| 7| 11.153653 13.040317| 0.103524 -0.182221| 0.966480 0.787271| 10.726198 11.852086|
| 8| 11.840707 13.384290| 0.007771 -0.208912| 0.946420 0.917289| 11.031888 12.257301|
| 9| 11.840707 13.942014| 0.009442 -0.208446| 0.946420 0.922262| 11.031888 12.862095|
--------------------------------------------------------------------------------------------------------------------------------
Iteration 1
max(|FPS - SPF|) = 1.00000
--------------------------------------------------------------------------------------------------------------------------------
qsUGW HOMO energy: -6.277680 eV
qsUGW LUMO energy: 0.129595 eV
qsUGW HOMO-LUMO gap : 6.407275 eV
--------------------------------------------------------------------------------------------------------------------------------
qsUGW total energy: -14.506721 au
qsUGW exchange energy: -2.740808 au
RPA@qsUGW correlation energy: -0.012140 au
--------------------------------------------------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------------------------------------------------
Self-consistent qsG2W2 calculation
--------------------------------------------------------------------------------------------------------------------------------
| | e_HF | Sig_c | Z | e_QP |
| #| up dw | up dw | up dw | up dw |
--------------------------------------------------------------------------------------------------------------------------------
| 1| -129.175882 -128.126772| 3.056071 2.938916| 0.887710 0.893539| -126.126709 -125.176228|
| 2| -10.592615 0.905889| -0.010701 -1.370103| 0.968367 0.961564| -10.576721 0.134925|
| 3| -6.448889 3.448679| 0.107367 -0.627272| 0.979139 0.963936| -6.273087 2.981952|
| 4| 1.306653 3.448679| 0.089382 -1.087753| 0.982920 0.963936| 1.192475 2.981952|
| 5| 1.306653 4.343243| -0.655420 -1.511528| 0.982920 0.981393| 1.192475 4.055177|
| 6| 10.713239 13.040317| -0.642420 -1.504132| 0.976611 0.800139| 10.489630 11.866355|
| 7| 11.153653 13.040317| 0.103451 -0.182455| 0.966562 0.800139| 10.727031 11.866355|
| 8| 11.840707 13.384290| 0.007658 -0.212980| 0.946420 0.917551| 11.036079 12.262206|
| 9| 11.840707 13.942014| 0.009330 -0.212448| 0.946420 0.921827| 11.036079 12.869227|
--------------------------------------------------------------------------------------------------------------------------------
Iteration 2
max(|FPS - SPF|) = 0.00017
--------------------------------------------------------------------------------------------------------------------------------
qsUGW HOMO energy: -6.273087 eV
qsUGW LUMO energy: 0.134925 eV
qsUGW HOMO-LUMO gap : 6.408012 eV
--------------------------------------------------------------------------------------------------------------------------------
qsUGW total energy: -14.506580 au
qsUGW exchange energy: -2.740912 au
RPA@qsUGW correlation energy: -0.012146 au
--------------------------------------------------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------------------------------------------------
Self-consistent qsG3W3 calculation
--------------------------------------------------------------------------------------------------------------------------------
| | e_HF | Sig_c | Z | e_QP |
| #| up dw | up dw | up dw | up dw |
--------------------------------------------------------------------------------------------------------------------------------
| 1| -129.175882 -128.126772| 3.055752 2.938540| 0.887716 0.893547| -126.124725 -125.173478|
| 2| -10.592615 0.905889| -0.009982 -1.369136| 0.968351 0.961604| -10.576730 0.136179|
| 3| -6.448889 3.448679| 0.107563 -0.627123| 0.979145 0.964054| -6.271847 2.981404|
| 4| 1.306653 3.448679| 0.089200 -1.087983| 0.982928 0.964054| 1.193404 2.981404|
| 5| 1.306653 4.343243| -0.655191 -1.517154| 0.982928 0.981421| 1.193404 4.055841|
| 6| 10.713239 13.040317| -0.642198 -1.509663| 0.976606 0.795359| 10.490709 11.865911|
| 7| 11.153653 13.040317| 0.103424 -0.182386| 0.966594 0.795359| 10.727121 11.865911|
| 8| 11.840707 13.384290| 0.007621 -0.212372| 0.946421 0.917595| 11.037046 12.263727|
| 9| 11.840707 13.942014| 0.009294 -0.211849| 0.946421 0.921884| 11.037046 12.870504|
--------------------------------------------------------------------------------------------------------------------------------
Iteration 3
max(|FPS - SPF|) = 0.00005
--------------------------------------------------------------------------------------------------------------------------------
qsUGW HOMO energy: -6.271847 eV
qsUGW LUMO energy: 0.136179 eV
qsUGW HOMO-LUMO gap : 6.408026 eV
--------------------------------------------------------------------------------------------------------------------------------
qsUGW total energy: -14.506538 au
qsUGW exchange energy: -2.740944 au
RPA@qsUGW correlation energy: -0.012146 au
--------------------------------------------------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------------------------------------------------
Self-consistent qsG4W4 calculation
--------------------------------------------------------------------------------------------------------------------------------
| | e_HF | Sig_c | Z | e_QP |
| #| up dw | up dw | up dw | up dw |
--------------------------------------------------------------------------------------------------------------------------------
| 1| -129.175882 -128.126772| 3.055596 2.938382| 0.887719 0.893550| -126.124455 -125.173045|
| 2| -10.592615 0.905889| -0.009787 -1.369505| 0.968347 0.961604| -10.576820 0.136254|
| 3| -6.448889 3.448679| 0.107620 -0.627211| 0.979147 0.964047| -6.271518 2.981909|
| 4| 1.306653 3.448679| 0.089108 -1.087922| 0.982929 0.964047| 1.193586 2.981909|
| 5| 1.306653 4.343243| -0.655128 -1.515621| 0.982929 0.981419| 1.193586 4.055933|
| 6| 10.713239 13.040317| -0.642138 -1.508156| 0.976602 0.796319| 10.490988 11.866817|
| 7| 11.153653 13.040317| 0.103409 -0.182418| 0.966603 0.796319| 10.727062 11.866817|
| 8| 11.840707 13.384290| 0.007612 -0.212480| 0.946422 0.917571| 11.037208 12.263837|
| 9| 11.840707 13.942014| 0.009284 -0.211955| 0.946422 0.921873| 11.037208 12.870775|
--------------------------------------------------------------------------------------------------------------------------------
Iteration 4
max(|FPS - SPF|) = 0.00001
--------------------------------------------------------------------------------------------------------------------------------
qsUGW HOMO energy: -6.271518 eV
qsUGW LUMO energy: 0.136254 eV
qsUGW HOMO-LUMO gap : 6.407772 eV
--------------------------------------------------------------------------------------------------------------------------------
qsUGW total energy: -14.506528 au
qsUGW exchange energy: -2.740951 au
RPA@qsUGW correlation energy: -0.012146 au
--------------------------------------------------------------------------------------------------------------------------------
--------------------------------------------------------------------------------------------------------------------------------
Self-consistent qsG5W5 calculation
--------------------------------------------------------------------------------------------------------------------------------
| | e_HF | Sig_c | Z | e_QP |
| #| up dw | up dw | up dw | up dw |
--------------------------------------------------------------------------------------------------------------------------------
| 1| -129.175882 -128.126772| 3.055548 2.938330| 0.887720 0.893551| -126.124480 -125.173030|
| 2| -10.592615 0.905889| -0.009733 -1.369414| 0.968345 0.961606| -10.576877 0.136305|
| 3| -6.448889 3.448679| 0.107639 -0.627187| 0.979148 0.964053| -6.271430 2.981818|
| 4| 1.306653 3.448679| 0.089068 -1.087942| 0.982929 0.964053| 1.193610 2.981818|
| 5| 1.306653 4.343243| -0.655110 -1.516092| 0.982929 0.981420| 1.193610 4.055943|
| 6| 10.713239 13.040317| -0.642121 -1.508619| 0.976601 0.795951| 10.491059 11.866672|
| 7| 11.153653 13.040317| 0.103402 -0.182415| 0.966606 0.795951| 10.727015 11.866672|
| 8| 11.840707 13.384290| 0.007609 -0.212428| 0.946422 0.917576| 11.037214 12.263888|
| 9| 11.840707 13.942014| 0.009281 -0.211904| 0.946422 0.921877| 11.037214 12.870776|
--------------------------------------------------------------------------------------------------------------------------------
Iteration 5
max(|FPS - SPF|) = 0.00001
--------------------------------------------------------------------------------------------------------------------------------
qsUGW HOMO energy: -6.271430 eV
qsUGW LUMO energy: 0.136305 eV
qsUGW HOMO-LUMO gap : 6.407735 eV
--------------------------------------------------------------------------------------------------------------------------------
qsUGW total energy: -14.506527 au
qsUGW exchange energy: -2.740951 au
RPA@qsUGW correlation energy: -0.012146 au
--------------------------------------------------------------------------------------------------------------------------------
-------------------------------------------------
Summary
-------------------------------------------------
One-electron energy: -18.9321521221 au
One-electron a energy: -10.9932045146 au
One-electron b energy: -7.9389476075 au
Kinetic energy: 14.5514960370 au
Kinetic a energy: 7.7848435596 au
Kinetic b energy: 6.7666524773 au
Potential energy: -33.4836481591 au
Potential a energy: -18.7780480742 au
Potential b energy: -14.7056000848 au
-------------------------------------------------
Two-electron energy: 4.4256255368 au
Two-electron aa energy: 1.1945041899 au
Two-electron ab energy: 3.2311213469 au
Two-electron bb energy: 0.0000000000 au
Hartree energy: 7.1665768960 au
Hartree aa energy: 2.8012753110 au
Hartree ab energy: 3.2311213469 au
Hartree bb energy: 1.1341802381 au
Exchange energy: -2.7409513592 au
Exchange a energy: -1.6067711211 au
Exchange b energy: -1.1341802381 au
-------------------------------------------------
Electronic energy: -14.5065265853 au
Nuclear repulsion: 0.0000000000 au
qsUGW energy: -14.5065265853 au
-------------------------------------------------
S (exact) : 3.000000
S : 3.000000
<S**2> (exact) : 2.000000
<S**2> : 2.000000
-------------------------------------------------
Dipole moment (Debye)
X Y Z Tot.
0.000000 -0.000000 0.000000 0.000000
-------------------------------------------------
-------------------------------------------------------------
BSE@UGW calculation: spin-flip manifold
-------------------------------------------------------------
| State | Excitation energy (au) | Excitation energy (eV) |
-------------------------------------------------------------
| 1 | -0.093038 | -2.531697 |
| 2 | -0.005726 | -0.155822 |
| 3 | 0.057375 | 1.561241 |
| 4 | 0.057375 | 1.561241 |
| 5 | 0.136322 | 3.709501 |
| 6 | 0.188765 | 5.136549 |
| 7 | 0.188765 | 5.136549 |
| 8 | 0.253036 | 6.885466 |
| 9 | 0.369727 | 10.060789 |
| 10 | 0.381392 | 10.378201 |
| 11 | 0.382141 | 10.398597 |
| 12 | 0.382141 | 10.398597 |
| 13 | 0.518698 | 14.114488 |
| 14 | 0.518698 | 14.114488 |
| 15 | 0.563754 | 15.340541 |
| 16 | 0.567965 | 15.455109 |
| 17 | 4.195282 | 114.159447 |
| 18 | 4.219892 | 114.829120 |
| 19 | 4.219892 | 114.829120 |
| 20 | 4.326321 | 117.725186 |
-------------------------------------------------------------
-------------------------------------------------------------
Excitation n. 1: -2.531697 eV f = 0.0000 <S**2> = 0.1020
-------------------------------------------------------------
2A -> 5B = 0.199396
3A -> 2B = -0.970093
3A -> 8B = -0.114939
-------------------------------------------------------------
Excitation n. 2: -0.155822 eV f = 0.0000 <S**2> = 0.1986
-------------------------------------------------------------
2A -> 2B = -0.711135
2A -> 8B = -0.101443
3A -> 5B = 0.672373
3A -> 9B = 0.178633
-------------------------------------------------------------
Excitation n. 3: 1.561241 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
3A -> 3B = -0.984566
3A -> 6B = 0.171950
-------------------------------------------------------------
Excitation n. 4: 1.561241 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
3A -> 4B = -0.984566
3A -> 7B = 0.171950
-------------------------------------------------------------
Excitation n. 5: 3.709501 eV f = 0.0000 <S**2> = 1.8732
-------------------------------------------------------------
2A -> 2B = -0.684459
3A -> 5B = -0.719458
-------------------------------------------------------------
Excitation n. 6: 5.136549 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
2A -> 3B = -0.978198
2A -> 6B = 0.207138
-------------------------------------------------------------
Excitation n. 7: 5.136549 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
2A -> 4B = 0.978198
2A -> 7B = -0.207138
-------------------------------------------------------------
Excitation n. 8: 6.885466 eV f = 0.0000 <S**2> = 0.2172
-------------------------------------------------------------
2A -> 5B = -0.958959
2A -> 9B = -0.187799
3A -> 2B = -0.212406
-------------------------------------------------------------
Excitation n. 9: 10.060789 eV f = 0.0000 <S**2> = 0.8532
-------------------------------------------------------------
2A -> 2B = 0.117886
2A -> 8B = -0.281897
3A -> 5B = -0.166903
3A -> 9B = 0.937429
-------------------------------------------------------------
Excitation n. 10: 10.378201 eV f = 0.0000 <S**2> = 0.8872
-------------------------------------------------------------
2A -> 9B = -0.299647
3A -> 2B = -0.117452
3A -> 8B = 0.942707
-------------------------------------------------------------
Excitation n. 11: 10.398597 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
3A -> 3B = 0.171935
3A -> 6B = 0.984733
-------------------------------------------------------------
Excitation n. 12: 10.398597 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
3A -> 4B = 0.171935
3A -> 7B = 0.984733
-------------------------------------------------------------
Excitation n. 13: 14.114488 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
2A -> 3B = -0.207246
2A -> 6B = -0.977243
-------------------------------------------------------------
Excitation n. 14: 14.114488 eV f = 0.0000 <S**2> = 1.0000
-------------------------------------------------------------
2A -> 4B = -0.207246
2A -> 7B = -0.977243
-------------------------------------------------------------
Excitation n. 15: 15.340541 eV f = 0.0000 <S**2> = 1.0750
-------------------------------------------------------------
2A -> 2B = 0.109105
2A -> 8B = -0.949375
3A -> 9B = -0.290421
-------------------------------------------------------------
Excitation n. 16: 15.455109 eV f = 0.0000 <S**2> = 0.7937
-------------------------------------------------------------
2A -> 5B = -0.181440
2A -> 9B = 0.932200
3A -> 8B = 0.313168
-------------------------------------------------------------
Excitation n. 17: 114.159447 eV f = 0.0000 <S**2> = 1.2146
-------------------------------------------------------------
1A -> 2B = -0.955991
1A -> 8B = -0.293364
-------------------------------------------------------------
Excitation n. 18: 114.829120 eV f = 0.0000 <S**2> = 2.0000
-------------------------------------------------------------
1A -> 4B = 0.166596
1A -> 5B = 0.877993
1A -> 9B = 0.439139
-------------------------------------------------------------
Excitation n. 19: 114.829120 eV f = 0.0000 <S**2> = 2.0000
-------------------------------------------------------------
1A -> 4B = 0.877993
1A -> 5B = -0.166596
1A -> 8B = -0.439139
-------------------------------------------------------------
Excitation n. 20: 117.725186 eV f = 0.0000 <S**2> = 2.0000
-------------------------------------------------------------
1A -> 4B = -0.862173
1A -> 7B = 0.504833
Thomas-Reiche-Kuhn sum rule = 0.000000
-------------------------------------------------------------------------------
Tr@BSE@qsUGW correlation energy (spin-conserved) = 0.0000000000
Tr@BSE@qsUGW correlation energy (spin-flip) = 0.0000000000
Tr@BSE@qsUGW correlation energy = 0.0000000000
Tr@BSE@qsUGW total energy = -14.5065505488
-------------------------------------------------------------------------------
Total CPU time for qsGW = 0.007 seconds
Total CPU time for QuAcK = 0.012 seconds