422 lines
21 KiB
Plaintext
422 lines
21 KiB
Plaintext
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******************************************
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* eDFT: density-functional for ensembles *
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******************************************
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----------------------
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Number of atoms 2
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----------------------
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----------------------
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Number of spin-up electron 1
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Number of spin-down electron 1
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Total number of electron 2
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----------------------
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----------------------
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Number of core electron 0
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Number of Rydberg electron 0
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----------------------
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------------------
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Molecular geometry
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------------------
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Atom n. 1
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Z = 1.0000000000
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Atom coordinates: 0.0000000000 0.0000000000 0.0000000000
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Atom n. 2
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Z = 1.0000000000
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Atom coordinates: 0.0000000000 0.0000000000 1.4000000000
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------------------
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Nuclear repulsion energy = 0.7142857143
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------------------
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Gaussian basis set
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------------------
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Atom n. 1
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number of shells 5
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------------------
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s-type shell with K = 3
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Exponents Contraction
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13.0100000000 0.0196850000
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1.9620000000 0.1379770000
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0.4446000000 0.4781480000
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s-type shell with K = 1
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Exponents Contraction
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0.1220000000 1.0000000000
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s-type shell with K = 1
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Exponents Contraction
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0.0297400000 1.0000000000
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p-type shell with K = 1
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Exponents Contraction
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0.7270000000 1.0000000000
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p-type shell with K = 1
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Exponents Contraction
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0.1410000000 1.0000000000
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------------------
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Atom n. 2
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number of shells 5
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------------------
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s-type shell with K = 3
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Exponents Contraction
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13.0100000000 0.0196850000
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1.9620000000 0.1379770000
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0.4446000000 0.4781480000
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s-type shell with K = 1
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Exponents Contraction
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0.1220000000 1.0000000000
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s-type shell with K = 1
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Exponents Contraction
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0.0297400000 1.0000000000
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p-type shell with K = 1
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Exponents Contraction
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0.7270000000 1.0000000000
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p-type shell with K = 1
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Exponents Contraction
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0.1410000000 1.0000000000
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------------------
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Number of shells 10
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------------------
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------------------
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Number of basis functions 18
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------------------
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----------------------------------------------------------
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Number of states in ensemble = 2
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----------------------------------------------------------
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----------------------------------------------------------
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Ensemble weights
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----------------------------------------------------------
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1
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1 0.52500000
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2 0.47500000
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Nuclear Coordinates (Angstrom)
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------------------------------
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-----------------------------------------------------------------------
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Center Atomic Element Coordinates (Angstroms)
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Number X Y Z
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-----------------------------------------------------------------------
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1 1 H 0.000000 0.000000 0.000000
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2 1 H 0.000000 0.000000 0.740848
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-----------------------------------------------------------------------
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Nuclear repulsion :
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0.714285662548
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Atomic Basis set
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----------------
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-----------------------------------------------------------------------
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# Angular Coordinates (Bohr) Exponents Coefficients
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Momentum X Y Z
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-----------------------------------------------------------------------
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1-3 S 0.0000 0.0000 0.0000 1.30100000e+01 1.96850000e-02
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1.96200000e+00 1.37977000e-01
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4.44600000e-01 4.78148000e-01
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1.22000000e-01 1.00000000e+00
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2.97400000e-02 1.00000000e+00
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-----------------------------------------------------------------------
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4-9 P 0.0000 0.0000 0.0000 7.27000000e-01 1.00000000e+00
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1.41000000e-01 1.00000000e+00
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-----------------------------------------------------------------------
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10-12 S 0.0000 0.0000 1.4000 1.30100000e+01 1.96850000e-02
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1.96200000e+00 1.37977000e-01
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4.44600000e-01 4.78148000e-01
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1.22000000e-01 1.00000000e+00
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2.97400000e-02 1.00000000e+00
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-----------------------------------------------------------------------
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13-18 P 0.0000 0.0000 1.4000 7.27000000e-01 1.00000000e+00
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1.41000000e-01 1.00000000e+00
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-----------------------------------------------------------------------
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55 significant shell pairs computed in 0.001166 seconds
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1
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2
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3
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6
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9
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10
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11
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12
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15
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Computed ERIs in 0.025577 seconds
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Scaling integrals by 1.0000000000000000
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Total CPU time for reading integrals = 0.012 seconds
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Lowdin orthogonalization
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----------------------------------------------------------
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Quadrature grid: SG-1
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----------------------------------------------------------
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Radial precision = 0.1E-06
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Number of radial points = 74
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Number of angular points = 194
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Total number of points = 14356
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************************************************
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* Restricted Kohn-Sham calculation *
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* *** for ensembles *** *
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************************************************
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*******************************************************************
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* EXCHANGE RUNG *
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*******************************************************************
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* 1st rung of Jacob's ladder: local-density approximation (LDA) *
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* You have selected the following functional: RMFL20 *
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*******************************************************************
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*******************************************************************
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* CORRELATION RUNG *
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*******************************************************************
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* 1st rung of Jacob's ladder: local-density approximation (LDA) *
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* You have selected the following functional: RMFL20 *
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*******************************************************************
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------------------------------------------------------------------------------------------
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| # | E(KS) | Ex(KS) | Ec(KS) | Conv | nEl |
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------------------------------------------------------------------------------------------
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| 1 | 2.7771679351 | -0.6072232123 | -0.0585261396 | 0.085221 | 2.000006 |
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| 2 | -0.7417607085 | -0.4509353600 | -0.0537470748 | 0.030318 | 2.000000 |
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| 3 | -0.7454073099 | -0.4888936071 | -0.0556531748 | 0.004898 | 2.000001 |
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| 4 | -0.7457260874 | -0.4774748785 | -0.0550028219 | 0.001246 | 2.000001 |
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| 5 | -0.7457394148 | -0.4792859159 | -0.0550993053 | 0.000064 | 2.000001 |
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| 6 | -0.7457394580 | -0.4793817301 | -0.0551040580 | 0.000002 | 2.000001 |
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------------------------------------------------------------------------------------------
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-------------------------------------------------
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Summary
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-------------------------------------------------
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One-electron energy: -1.8473658364 au
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Kinetic energy: 1.0340842049 au
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Potential energy: -2.8814500413 au
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-------------------------------------------------
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Two-electron energy: 0.3873406640 au
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Coulomb energy: 0.9218264521 au
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Exchange energy: -0.4793817301 au
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Correlation energy: -0.0551040580 au
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-------------------------------------------------
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Electronic energy: -1.4600251723 au
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Nuclear repulsion: 0.7142857143 au
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Kohn-Sham energy: -0.7457394580 au
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-------------------------------------------------
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KS HOMO energy: -16.265960 eV
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KS LUMO energy: -2.215450 eV
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KS HOMO-LUMO gap: 14.050511 eV
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-------------------------------------------------
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-----------------------------------------
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Kohn-Sham orbital coefficients
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-----------------------------------------
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1 2 3 4 5
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1 -0.78855732 0.49057462 0.24804846 0.40464539 0.00000000
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2 -0.10850575 0.84181128 0.12958804 4.43472193 0.00000000
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3 -0.00407695 1.65050026 -0.59034269 -4.87333410 0.00000000
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4 0.00000000 0.00000000 0.00000000 0.00000000 0.04571996
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5 0.00000000 0.00000000 0.00000000 0.00000000 0.00298263
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6 -0.03181204 -0.04203849 0.01854480 -0.04644085 0.00000000
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7 0.00000000 0.00000000 0.00000000 0.00000000 0.49416518
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8 0.00000000 0.00000000 0.00000000 0.00000000 0.03223779
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9 0.01221495 -0.07316510 0.06878046 0.76568051 0.00000000
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10 -0.78855913 -0.49057236 0.24805281 -0.40464361 0.00000000
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11 -0.10850413 -0.84181171 0.12960076 -4.43472281 0.00000000
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12 -0.00407698 -1.65050250 -0.59034656 4.87333322 0.00000000
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13 0.00000000 0.00000000 0.00000000 0.00000000 0.04572020
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14 0.00000000 0.00000000 0.00000000 0.00000000 0.00298264
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15 0.03181186 -0.04203889 -0.01854438 -0.04644116 0.00000000
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16 0.00000000 0.00000000 0.00000000 0.00000000 0.49416958
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17 0.00000000 0.00000000 0.00000000 0.00000000 0.03223808
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18 -0.01221570 -0.07316766 -0.06878152 0.76567898 0.00000000
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6 7 8 9 10
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1 0.00000000 0.39763764 0.00000000 0.00000000 -0.63556236
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2 0.00000000 -0.94281403 0.00000000 0.00000000 28.48188807
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3 0.00000000 0.51550411 0.00000000 0.00000000 -3.21963806
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4 -0.00298263 0.00000000 -0.00261088 0.00064085 0.00000000
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5 0.04571996 0.00000000 0.00064085 0.00261088 0.00000000
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6 0.00000000 0.02312194 0.00000000 0.00000000 -0.00484336
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7 -0.03223779 0.00000000 1.91351139 -0.46968098 0.00000000
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8 0.49416518 0.00000000 -0.46968098 -1.91351139 0.00000000
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9 0.00000000 1.13215602 0.00000000 0.00000000 7.04863016
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10 0.00000000 0.39764115 0.00000000 0.00000000 0.63556530
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11 0.00000000 -0.94279260 0.00000000 0.00000000 -28.48188950
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12 0.00000000 0.51550039 0.00000000 0.00000000 3.21963868
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13 -0.00298264 0.00000000 0.00261095 -0.00064087 0.00000000
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14 0.04572020 0.00000000 -0.00064087 -0.00261095 0.00000000
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15 0.00000000 -0.02312161 0.00000000 0.00000000 -0.00484303
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16 -0.03223808 0.00000000 -1.91351026 0.46968070 0.00000000
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17 0.49416958 0.00000000 0.46968070 1.91351026 0.00000000
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18 0.00000000 -1.13216119 0.00000000 0.00000000 7.04863308
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11 12 13 14 15
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1 -1.28190545 1.60131936 0.00000000 0.00000000 0.72572061
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2 0.58228713 26.85452088 0.00000000 0.00000000 -0.43602695
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3 -0.20219431 -0.85387590 0.00000000 0.00000000 0.15440490
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4 0.00000000 0.00000000 0.11598635 -0.65798125 0.00000000
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5 0.00000000 0.00000000 0.65798125 0.11598635 0.00000000
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6 -0.01827337 -0.41012647 0.00000000 0.00000000 -0.76257283
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7 0.00000000 0.00000000 -0.05810749 0.32963914 0.00000000
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8 0.00000000 0.00000000 -0.32963914 -0.05810749 0.00000000
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9 1.07027172 7.55466969 0.00000000 0.00000000 0.48954260
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10 -1.28190440 -1.60131855 0.00000000 0.00000000 0.72571655
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11 0.58220342 -26.85452168 0.00000000 0.00000000 -0.43602624
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12 -0.20218452 0.85387622 0.00000000 0.00000000 0.15440448
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13 0.00000000 0.00000000 0.11598660 -0.65798266 0.00000000
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14 0.00000000 0.00000000 0.65798266 0.11598660 0.00000000
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15 0.01827320 -0.41012696 0.00000000 0.00000000 0.76257385
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16 0.00000000 0.00000000 -0.05810769 0.32964027 0.00000000
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17 0.00000000 0.00000000 -0.32964027 -0.05810769 0.00000000
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18 -1.07025053 7.55466938 0.00000000 0.00000000 -0.48954254
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16 17 18
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1 0.00000000 0.00000000 -4.38250638
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2 0.00000000 0.00000000 8.44919356
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3 0.00000000 0.00000000 -0.46462382
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4 -1.06344790 0.11182668 0.00000000
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5 0.11182668 1.06344790 0.00000000
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6 0.00000000 0.00000000 -2.17168034
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7 0.79095359 -0.08317259 0.00000000
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8 -0.08317259 -0.79095359 0.00000000
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9 0.00000000 0.00000000 2.29754542
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10 0.00000000 0.00000000 4.38250675
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11 0.00000000 0.00000000 -8.44919374
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12 0.00000000 0.00000000 0.46462388
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13 1.06344701 -0.11182659 0.00000000
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14 -0.11182659 -1.06344701 0.00000000
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15 0.00000000 0.00000000 -2.17167989
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16 -0.79095326 0.08317255 0.00000000
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17 0.08317255 0.79095326 0.00000000
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18 0.00000000 0.00000000 2.29754523
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---------------------------------------
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Kohn-Sham orbital energies
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---------------------------------------
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1
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1 -0.59776302
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2 -0.08141628
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3 -0.02731527
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4 0.04104005
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5 0.06047363
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6 0.06047363
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7 0.21437472
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8 0.26489940
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9 0.26489940
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10 0.34397272
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11 0.41917012
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12 0.83854365
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13 1.11556050
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14 1.11556050
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15 1.55789132
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16 1.74194941
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17 1.74194941
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18 3.10557702
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-------------------------------------------------
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ENSEMBLE ENERGIES
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-------------------------------------------------
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Ensemble energy: -0.7457394580 au
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GIC Ensemble energy: -0.6253491449 au
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-------------------------------------------------
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-------------------------------------------------
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INDIVIDUAL KINETIC ENERGIES
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-------------------------------------------------
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Kinetic energy state 1: 1.2960194064 au
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Kinetic energy state 2: 0.7445768771 au
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-------------------------------------------------
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-------------------------------------------------
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INDIVIDUAL POTENTIAL ENERGIES
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-------------------------------------------------
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Potential energy state 1: -3.8412682143 au
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Potential energy state 2: -1.8205983764 au
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-------------------------------------------------
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-------------------------------------------------
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INDIVIDUAL HARTREE ENERGIES
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-------------------------------------------------
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Hartree energy state 1: 1.4341473802 au
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Hartree energy state 2: 0.6093529250 au
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-------------------------------------------------
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-------------------------------------------------
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INDIVIDUAL EXCHANGE ENERGIES
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-------------------------------------------------
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Exchange energy state 1: -0.6670384301 au
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Exchange energy state 2: -0.2719716934 au
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-------------------------------------------------
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-------------------------------------------------
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INDIVIDUAL CORRELATION ENERGIES
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-------------------------------------------------
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Correlation energy state 1: -0.0635449565 au
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Correlation energy state 2: -0.0460972727 au
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-------------------------------------------------
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-------------------------------------------------
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ENSEMBLE DERIVATIVE CONTRIBUTIONS
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-------------------------------------------------
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x ensemble derivative state 1: 0.0627303806 au
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c ensemble derivative state 1: -0.0032393465 au
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xc ensemble derivative state 1: 0.0594910341 au
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x ensemble derivative state 2: -0.0693335786 au
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c ensemble derivative state 2: 0.0035803303 au
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xc ensemble derivative state 2: -0.0657532482 au
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-------------------------------------------------
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-------------------------------------------------
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INDIVIDUAL AND EXCITATION ENERGIES
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-------------------------------------------------
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Individual energy state 1: -1.0679080659 au
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Individual energy state 2: -0.1362050743 au
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-------------------------------------------------
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Excitation energy 1 -> 2: 0.9317029916 au
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x energy contribution : 0.3950667367 au
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c energy contribution : 0.0174476838 au
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xc energy contribution : 0.4125144205 au
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x ensemble derivative : -0.1320639592 au
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c ensemble derivative : 0.0068196769 au
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xc ensemble derivative : -0.1252442823 au
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-------------------------------------------------
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Excitation energy 1 -> 2: 25.3529297608 eV
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x energy contribution : 10.7503134759 eV
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c energy contribution : 0.4747756590 eV
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xc energy contribution : 11.2250891350 eV
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x ensemble derivative : -3.5936433722 eV
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c ensemble derivative : 0.1855728595 eV
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xc ensemble derivative : -3.4080705127 eV
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-------------------------------------------------
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Total CPU time for GOC-RKS = 7.425 seconds
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