422 lines
21 KiB
Plaintext
422 lines
21 KiB
Plaintext
|
|
||
|
******************************************
|
||
|
* eDFT: density-functional for ensembles *
|
||
|
******************************************
|
||
|
|
||
|
----------------------
|
||
|
Number of atoms 2
|
||
|
----------------------
|
||
|
|
||
|
----------------------
|
||
|
Number of spin-up electron 1
|
||
|
Number of spin-down electron 1
|
||
|
Total number of electron 2
|
||
|
----------------------
|
||
|
|
||
|
----------------------
|
||
|
Number of core electron 0
|
||
|
Number of Rydberg electron 0
|
||
|
----------------------
|
||
|
|
||
|
------------------
|
||
|
Molecular geometry
|
||
|
------------------
|
||
|
Atom n. 1
|
||
|
Z = 1.0000000000
|
||
|
Atom coordinates: 0.0000000000 0.0000000000 0.0000000000
|
||
|
Atom n. 2
|
||
|
Z = 1.0000000000
|
||
|
Atom coordinates: 0.0000000000 0.0000000000 1.4000000000
|
||
|
|
||
|
------------------
|
||
|
Nuclear repulsion energy = 0.7142857143
|
||
|
------------------
|
||
|
|
||
|
Gaussian basis set
|
||
|
------------------
|
||
|
Atom n. 1
|
||
|
number of shells 5
|
||
|
------------------
|
||
|
s-type shell with K = 3
|
||
|
Exponents Contraction
|
||
|
13.0100000000 0.0196850000
|
||
|
1.9620000000 0.1379770000
|
||
|
0.4446000000 0.4781480000
|
||
|
s-type shell with K = 1
|
||
|
Exponents Contraction
|
||
|
0.1220000000 1.0000000000
|
||
|
s-type shell with K = 1
|
||
|
Exponents Contraction
|
||
|
0.0297400000 1.0000000000
|
||
|
p-type shell with K = 1
|
||
|
Exponents Contraction
|
||
|
0.7270000000 1.0000000000
|
||
|
p-type shell with K = 1
|
||
|
Exponents Contraction
|
||
|
0.1410000000 1.0000000000
|
||
|
------------------
|
||
|
Atom n. 2
|
||
|
number of shells 5
|
||
|
------------------
|
||
|
s-type shell with K = 3
|
||
|
Exponents Contraction
|
||
|
13.0100000000 0.0196850000
|
||
|
1.9620000000 0.1379770000
|
||
|
0.4446000000 0.4781480000
|
||
|
s-type shell with K = 1
|
||
|
Exponents Contraction
|
||
|
0.1220000000 1.0000000000
|
||
|
s-type shell with K = 1
|
||
|
Exponents Contraction
|
||
|
0.0297400000 1.0000000000
|
||
|
p-type shell with K = 1
|
||
|
Exponents Contraction
|
||
|
0.7270000000 1.0000000000
|
||
|
p-type shell with K = 1
|
||
|
Exponents Contraction
|
||
|
0.1410000000 1.0000000000
|
||
|
------------------
|
||
|
Number of shells 10
|
||
|
------------------
|
||
|
|
||
|
------------------
|
||
|
Number of basis functions 18
|
||
|
------------------
|
||
|
|
||
|
----------------------------------------------------------
|
||
|
Number of states in ensemble = 2
|
||
|
----------------------------------------------------------
|
||
|
|
||
|
----------------------------------------------------------
|
||
|
Ensemble weights
|
||
|
----------------------------------------------------------
|
||
|
1
|
||
|
1 0.57500000
|
||
|
2 0.42500000
|
||
|
|
||
|
|
||
|
Nuclear Coordinates (Angstrom)
|
||
|
------------------------------
|
||
|
|
||
|
-----------------------------------------------------------------------
|
||
|
Center Atomic Element Coordinates (Angstroms)
|
||
|
Number X Y Z
|
||
|
-----------------------------------------------------------------------
|
||
|
1 1 H 0.000000 0.000000 0.000000
|
||
|
2 1 H 0.000000 0.000000 0.740848
|
||
|
-----------------------------------------------------------------------
|
||
|
|
||
|
|
||
|
Nuclear repulsion :
|
||
|
0.714285662548
|
||
|
|
||
|
Atomic Basis set
|
||
|
----------------
|
||
|
|
||
|
-----------------------------------------------------------------------
|
||
|
# Angular Coordinates (Bohr) Exponents Coefficients
|
||
|
Momentum X Y Z
|
||
|
-----------------------------------------------------------------------
|
||
|
1-3 S 0.0000 0.0000 0.0000 1.30100000e+01 1.96850000e-02
|
||
|
1.96200000e+00 1.37977000e-01
|
||
|
4.44600000e-01 4.78148000e-01
|
||
|
|
||
|
1.22000000e-01 1.00000000e+00
|
||
|
|
||
|
2.97400000e-02 1.00000000e+00
|
||
|
|
||
|
|
||
|
-----------------------------------------------------------------------
|
||
|
4-9 P 0.0000 0.0000 0.0000 7.27000000e-01 1.00000000e+00
|
||
|
|
||
|
1.41000000e-01 1.00000000e+00
|
||
|
|
||
|
|
||
|
-----------------------------------------------------------------------
|
||
|
10-12 S 0.0000 0.0000 1.4000 1.30100000e+01 1.96850000e-02
|
||
|
1.96200000e+00 1.37977000e-01
|
||
|
4.44600000e-01 4.78148000e-01
|
||
|
|
||
|
1.22000000e-01 1.00000000e+00
|
||
|
|
||
|
2.97400000e-02 1.00000000e+00
|
||
|
|
||
|
|
||
|
-----------------------------------------------------------------------
|
||
|
13-18 P 0.0000 0.0000 1.4000 7.27000000e-01 1.00000000e+00
|
||
|
|
||
|
1.41000000e-01 1.00000000e+00
|
||
|
|
||
|
|
||
|
-----------------------------------------------------------------------
|
||
|
|
||
|
55 significant shell pairs computed in 0.001355 seconds
|
||
|
1
|
||
|
2
|
||
|
3
|
||
|
6
|
||
|
9
|
||
|
10
|
||
|
11
|
||
|
12
|
||
|
15
|
||
|
Computed ERIs in 0.034555 seconds
|
||
|
Scaling integrals by 1.0000000000000000
|
||
|
|
||
|
Total CPU time for reading integrals = 0.013 seconds
|
||
|
|
||
|
|
||
|
Lowdin orthogonalization
|
||
|
|
||
|
----------------------------------------------------------
|
||
|
Quadrature grid: SG-1
|
||
|
----------------------------------------------------------
|
||
|
|
||
|
Radial precision = 0.1E-06
|
||
|
Number of radial points = 74
|
||
|
Number of angular points = 194
|
||
|
Total number of points = 14356
|
||
|
|
||
|
|
||
|
************************************************
|
||
|
* Restricted Kohn-Sham calculation *
|
||
|
* *** for ensembles *** *
|
||
|
************************************************
|
||
|
|
||
|
|
||
|
*******************************************************************
|
||
|
* EXCHANGE RUNG *
|
||
|
*******************************************************************
|
||
|
* 1st rung of Jacob's ladder: local-density approximation (LDA) *
|
||
|
* You have selected the following functional: RS51 *
|
||
|
*******************************************************************
|
||
|
|
||
|
|
||
|
*******************************************************************
|
||
|
* CORRELATION RUNG *
|
||
|
*******************************************************************
|
||
|
* 1st rung of Jacob's ladder: local-density approximation (LDA) *
|
||
|
* You have selected the following functional: RVWN5 *
|
||
|
*******************************************************************
|
||
|
|
||
|
|
||
|
------------------------------------------------------------------------------------------
|
||
|
| # | E(KS) | Ex(KS) | Ec(KS) | Conv | nEl |
|
||
|
------------------------------------------------------------------------------------------
|
||
|
| 1 | 2.9977553373 | -0.5587799949 | -0.0887657755 | 0.084323 | 2.000006 |
|
||
|
| 2 | -0.7512703953 | -0.3815362752 | -0.0765661502 | 0.040657 | 2.000000 |
|
||
|
| 3 | -0.7582403243 | -0.4273669117 | -0.0813499542 | 0.007475 | 2.000001 |
|
||
|
| 4 | -0.7588415723 | -0.4144078551 | -0.0798482698 | 0.001371 | 2.000001 |
|
||
|
| 5 | -0.7588594471 | -0.4162662502 | -0.0800537516 | 0.000024 | 2.000001 |
|
||
|
| 6 | -0.7588594571 | -0.4162922414 | -0.0800561808 | 0.000004 | 2.000001 |
|
||
|
------------------------------------------------------------------------------------------
|
||
|
|
||
|
-------------------------------------------------
|
||
|
Summary
|
||
|
-------------------------------------------------
|
||
|
One-electron energy: -1.8975830555 au
|
||
|
Kinetic energy: 0.9935208854 au
|
||
|
Potential energy: -2.8911039409 au
|
||
|
-------------------------------------------------
|
||
|
Two-electron energy: 0.4244378841 au
|
||
|
Coulomb energy: 0.9207863063 au
|
||
|
Exchange energy: -0.4162922414 au
|
||
|
Correlation energy: -0.0800561808 au
|
||
|
-------------------------------------------------
|
||
|
Electronic energy: -1.4731451714 au
|
||
|
Nuclear repulsion: 0.7142857143 au
|
||
|
Kohn-Sham energy: -0.7588594571 au
|
||
|
-------------------------------------------------
|
||
|
KS HOMO energy: -15.286358 eV
|
||
|
KS LUMO energy: -1.842463 eV
|
||
|
KS HOMO-LUMO gap: 13.443895 eV
|
||
|
-------------------------------------------------
|
||
|
|
||
|
-----------------------------------------
|
||
|
Kohn-Sham orbital coefficients
|
||
|
-----------------------------------------
|
||
|
1 2 3 4 5
|
||
|
1 -0.76944311 -0.43345195 0.23894245 0.40835981 0.00000000
|
||
|
2 -0.12032830 -0.77619663 0.15485188 4.93688000 0.00000000
|
||
|
3 -0.00458430 -1.97592314 -0.60247781 -4.80041284 0.00000000
|
||
|
4 0.00000000 0.00000000 0.00000000 0.00000000 0.03992048
|
||
|
5 0.00000000 0.00000000 0.00000000 0.00000000 -0.00467897
|
||
|
6 -0.02997157 0.03715793 0.01744837 -0.04767145 0.00000000
|
||
|
7 0.00000000 0.00000000 0.00000000 0.00000000 0.49463086
|
||
|
8 0.00000000 0.00000000 0.00000000 0.00000000 -0.05797428
|
||
|
9 0.00940684 0.06891893 0.05343639 0.86155614 0.00000000
|
||
|
10 -0.76944311 0.43345195 0.23894245 -0.40835981 0.00000000
|
||
|
11 -0.12032830 0.77619663 0.15485188 -4.93688000 0.00000000
|
||
|
12 -0.00458430 1.97592314 -0.60247781 4.80041284 0.00000000
|
||
|
13 0.00000000 0.00000000 0.00000000 0.00000000 0.03992048
|
||
|
14 0.00000000 0.00000000 0.00000000 0.00000000 -0.00467897
|
||
|
15 0.02997157 0.03715793 -0.01744837 -0.04767145 0.00000000
|
||
|
16 0.00000000 0.00000000 0.00000000 0.00000000 0.49463086
|
||
|
17 0.00000000 0.00000000 0.00000000 0.00000000 -0.05797428
|
||
|
18 -0.00940684 0.06891893 -0.05343639 0.86155614 0.00000000
|
||
|
6 7 8 9 10
|
||
|
1 0.00000000 -0.39193376 0.00000000 0.00000000 0.61479312
|
||
|
2 0.00000000 0.93157816 0.00000000 0.00000000 -28.90513113
|
||
|
3 0.00000000 -0.50041635 0.00000000 0.00000000 3.15479100
|
||
|
4 0.00467897 0.00000000 -0.00596036 -0.00013975 0.00000000
|
||
|
5 0.03992048 0.00000000 -0.00013975 0.00596036 0.00000000
|
||
|
6 0.00000000 -0.01971875 0.00000000 0.00000000 0.00944928
|
||
|
7 0.05797428 0.00000000 1.97219412 0.04624006 0.00000000
|
||
|
8 0.49463086 0.00000000 0.04624006 -1.97219412 0.00000000
|
||
|
9 0.00000000 -1.15273096 0.00000000 0.00000000 -7.18469590
|
||
|
10 0.00000000 -0.39193376 0.00000000 0.00000000 -0.61479312
|
||
|
11 0.00000000 0.93157816 0.00000000 0.00000000 28.90513113
|
||
|
12 0.00000000 -0.50041635 0.00000000 0.00000000 -3.15479100
|
||
|
13 0.00467897 0.00000000 0.00596036 0.00013975 0.00000000
|
||
|
14 0.03992048 0.00000000 0.00013975 -0.00596036 0.00000000
|
||
|
15 0.00000000 0.01971875 0.00000000 0.00000000 0.00944928
|
||
|
16 0.05797428 0.00000000 -1.97219412 -0.04624006 0.00000000
|
||
|
17 0.49463086 0.00000000 -0.04624006 1.97219412 0.00000000
|
||
|
18 0.00000000 1.15273096 0.00000000 0.00000000 -7.18469590
|
||
|
11 12 13 14 15
|
||
|
1 -1.29976481 1.60001712 0.00000000 0.00000000 0.72061164
|
||
|
2 0.59538316 26.34400822 0.00000000 0.00000000 -0.43104280
|
||
|
3 -0.20584407 -0.81885764 0.00000000 0.00000000 0.15231055
|
||
|
4 0.00000000 0.00000000 -0.15736170 -0.64970308 0.00000000
|
||
|
5 0.00000000 0.00000000 -0.64970308 0.15736170 0.00000000
|
||
|
6 -0.01815266 -0.42122468 0.00000000 0.00000000 -0.76277221
|
||
|
7 0.00000000 0.00000000 0.07780963 0.32125452 0.00000000
|
||
|
8 0.00000000 0.00000000 0.32125452 -0.07780963 0.00000000
|
||
|
9 1.05100401 7.42396206 0.00000000 0.00000000 0.48521326
|
||
|
10 -1.29976481 -1.60001712 0.00000000 0.00000000 0.72061164
|
||
|
11 0.59538316 -26.34400822 0.00000000 0.00000000 -0.43104280
|
||
|
12 -0.20584407 0.81885764 0.00000000 0.00000000 0.15231055
|
||
|
13 0.00000000 0.00000000 -0.15736170 -0.64970308 0.00000000
|
||
|
14 0.00000000 0.00000000 -0.64970308 0.15736170 0.00000000
|
||
|
15 0.01815266 -0.42122468 0.00000000 0.00000000 0.76277221
|
||
|
16 0.00000000 0.00000000 0.07780963 0.32125452 0.00000000
|
||
|
17 0.00000000 0.00000000 0.32125452 -0.07780963 0.00000000
|
||
|
18 -1.05100401 7.42396206 0.00000000 0.00000000 -0.48521326
|
||
|
16 17 18
|
||
|
1 0.00000000 0.00000000 -4.39161285
|
||
|
2 0.00000000 0.00000000 8.34619340
|
||
|
3 0.00000000 0.00000000 -0.46164583
|
||
|
4 1.06483100 0.09763356 0.00000000
|
||
|
5 -0.09763356 1.06483100 0.00000000
|
||
|
6 0.00000000 0.00000000 -2.16960206
|
||
|
7 -0.78598182 -0.07206608 0.00000000
|
||
|
8 0.07206608 -0.78598182 0.00000000
|
||
|
9 0.00000000 0.00000000 2.26814376
|
||
|
10 0.00000000 0.00000000 4.39161285
|
||
|
11 0.00000000 0.00000000 -8.34619340
|
||
|
12 0.00000000 0.00000000 0.46164583
|
||
|
13 -1.06483100 -0.09763356 0.00000000
|
||
|
14 0.09763356 -1.06483100 0.00000000
|
||
|
15 0.00000000 0.00000000 -2.16960206
|
||
|
16 0.78598182 0.07206608 0.00000000
|
||
|
17 -0.07206608 0.78598182 0.00000000
|
||
|
18 0.00000000 0.00000000 2.26814376
|
||
|
|
||
|
---------------------------------------
|
||
|
Kohn-Sham orbital energies
|
||
|
---------------------------------------
|
||
|
1
|
||
|
1 -0.56176330
|
||
|
2 -0.06770926
|
||
|
3 -0.02409857
|
||
|
4 0.04741130
|
||
|
5 0.06980699
|
||
|
6 0.06980699
|
||
|
7 0.22455424
|
||
|
8 0.27311383
|
||
|
9 0.27311383
|
||
|
10 0.35481400
|
||
|
11 0.43197897
|
||
|
12 0.86193975
|
||
|
13 1.14272199
|
||
|
14 1.14272199
|
||
|
15 1.58890463
|
||
|
16 1.76880478
|
||
|
17 1.76880478
|
||
|
18 3.14128408
|
||
|
|
||
|
-------------------------------------------------
|
||
|
ENSEMBLE ENERGIES
|
||
|
-------------------------------------------------
|
||
|
Ensemble energy: -0.7588594571 au
|
||
|
GIC Ensemble energy: -0.6319606460 au
|
||
|
-------------------------------------------------
|
||
|
|
||
|
-------------------------------------------------
|
||
|
INDIVIDUAL KINETIC ENERGIES
|
||
|
-------------------------------------------------
|
||
|
Kinetic energy state 1: 1.2560930590 au
|
||
|
Kinetic energy state 2: 0.6382761800 au
|
||
|
-------------------------------------------------
|
||
|
|
||
|
-------------------------------------------------
|
||
|
INDIVIDUAL POTENTIAL ENERGIES
|
||
|
-------------------------------------------------
|
||
|
Potential energy state 1: -3.7951330685 au
|
||
|
Potential energy state 2: -1.6680057095 au
|
||
|
-------------------------------------------------
|
||
|
|
||
|
-------------------------------------------------
|
||
|
INDIVIDUAL HARTREE ENERGIES
|
||
|
-------------------------------------------------
|
||
|
Hartree energy state 1: 1.4112868613 au
|
||
|
Hartree energy state 2: 0.5557533464 au
|
||
|
-------------------------------------------------
|
||
|
|
||
|
-------------------------------------------------
|
||
|
INDIVIDUAL EXCHANGE ENERGIES
|
||
|
-------------------------------------------------
|
||
|
Exchange energy state 1: -0.5765590092 au
|
||
|
Exchange energy state 2: -0.1994607319 au
|
||
|
-------------------------------------------------
|
||
|
|
||
|
-------------------------------------------------
|
||
|
INDIVIDUAL CORRELATION ENERGIES
|
||
|
-------------------------------------------------
|
||
|
Correlation energy state 1: -0.0949946073 au
|
||
|
Correlation energy state 2: -0.0598453685 au
|
||
|
-------------------------------------------------
|
||
|
|
||
|
-------------------------------------------------
|
||
|
ENSEMBLE DERIVATIVE CONTRIBUTIONS
|
||
|
-------------------------------------------------
|
||
|
|
||
|
x ensemble derivative state 1: 0.0000000000 au
|
||
|
c ensemble derivative state 1: 0.0000000000 au
|
||
|
xc ensemble derivative state 1: 0.0000000000 au
|
||
|
|
||
|
x ensemble derivative state 2: 0.0000000000 au
|
||
|
c ensemble derivative state 2: 0.0000000000 au
|
||
|
xc ensemble derivative state 2: 0.0000000000 au
|
||
|
-------------------------------------------------
|
||
|
|
||
|
-------------------------------------------------
|
||
|
INDIVIDUAL AND EXCITATION ENERGIES
|
||
|
-------------------------------------------------
|
||
|
Individual energy state 1: -1.0850210504 au
|
||
|
Individual energy state 2: -0.0189965693 au
|
||
|
-------------------------------------------------
|
||
|
Excitation energy 1 -> 2: 1.0660244812 au
|
||
|
|
||
|
x energy contribution : 0.3770982772 au
|
||
|
c energy contribution : 0.0351492389 au
|
||
|
xc energy contribution : 0.4122475161 au
|
||
|
|
||
|
x ensemble derivative : 0.0000000000 au
|
||
|
c ensemble derivative : 0.0000000000 au
|
||
|
xc ensemble derivative : 0.0000000000 au
|
||
|
-------------------------------------------------
|
||
|
Excitation energy 1 -> 2: 29.0080036637 eV
|
||
|
|
||
|
x energy contribution : 10.2613667896 eV
|
||
|
c energy contribution : 0.9564595068 eV
|
||
|
xc energy contribution : 11.2178262963 eV
|
||
|
|
||
|
x ensemble derivative : 0.0000000000 eV
|
||
|
c ensemble derivative : 0.0000000000 eV
|
||
|
xc ensemble derivative : 0.0000000000 eV
|
||
|
-------------------------------------------------
|
||
|
|
||
|
Total CPU time for GOC-RKS = 5.395 seconds
|
||
|
|