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 0.77500000
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2 0.22500000
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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 0.001339 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 0.018623 seconds
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Scaling integrals by 1.0000000000000000
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Total CPU time for reading integrals = 0.009 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: RS51 *
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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: RVWN5 *
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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 | 4.0387790402 | -0.7238637766 | -0.0999630405 | 0.094135 | 2.000008 |
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| 2 | -0.9243740387 | -0.4111621209 | -0.0792584960 | 0.082544 | 2.000000 |
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| 3 | -0.9435146804 | -0.4478341140 | -0.0827419287 | 0.031509 | 2.000001 |
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| 4 | -0.9468629593 | -0.4708072279 | -0.0848099147 | 0.000556 | 2.000001 |
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| 5 | -0.9468634152 | -0.4706916673 | -0.0847996243 | 0.000132 | 2.000001 |
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| 6 | -0.9468634691 | -0.4705861616 | -0.0847889022 | 0.000008 | 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: -2.1625758377 au
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Kinetic energy: 1.0168524797 au
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Potential energy: -3.1794283174 au
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-------------------------------------------------
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Two-electron energy: 0.5014266543 au
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Coulomb energy: 1.0568017182 au
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Exchange energy: -0.4705861616 au
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Correlation energy: -0.0847889022 au
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-------------------------------------------------
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Electronic energy: -1.6611491834 au
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Nuclear repulsion: 0.7142857143 au
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Kohn-Sham energy: -0.9468634691 au
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-------------------------------------------------
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KS HOMO energy: -13.248818 eV
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KS LUMO energy: -1.169069 eV
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KS HOMO-LUMO gap: 12.079748 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 -0.73680904 -0.32760547 0.21785088 0.41158218 0.00000000
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2 -0.14152660 -0.22202338 0.20394138 5.91749091 0.00000000
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3 -0.00709456 -2.69102074 -0.62467595 -4.53863008 0.00000000
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4 0.00000000 0.00000000 0.00000000 0.00000000 0.02534988
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5 0.00000000 0.00000000 0.00000000 0.00000000 -0.01562245
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6 -0.02429780 0.02809406 0.01525733 -0.05136696 0.00000000
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7 0.00000000 0.00000000 0.00000000 0.00000000 0.42830328
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8 0.00000000 0.00000000 0.00000000 0.00000000 -0.26395176
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9 0.00911082 0.15088637 0.02934934 1.05462072 0.00000000
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10 -0.73680904 0.32760547 0.21785088 -0.41158218 0.00000000
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11 -0.14152660 0.22202338 0.20394138 -5.91749091 0.00000000
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12 -0.00709456 2.69102074 -0.62467595 4.53863008 0.00000000
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13 0.00000000 0.00000000 0.00000000 0.00000000 0.02534988
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14 0.00000000 0.00000000 0.00000000 0.00000000 -0.01562245
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15 0.02429780 0.02809406 -0.01525733 -0.05136696 0.00000000
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16 0.00000000 0.00000000 0.00000000 0.00000000 0.42830328
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17 0.00000000 0.00000000 0.00000000 0.00000000 -0.26395176
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18 -0.00911082 0.15088637 -0.02934934 1.05462072 0.00000000
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6 7 8 9 10
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1 0.00000000 0.37622342 0.00000000 0.00000000 0.57554327
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2 0.00000000 -0.90570156 0.00000000 0.00000000 -29.53582443
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3 0.00000000 0.47131327 0.00000000 0.00000000 3.02575986
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4 0.01562245 0.00000000 0.01149593 -0.00213471 0.00000000
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5 0.02534988 0.00000000 -0.00213471 -0.01149593 0.00000000
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6 0.00000000 0.01280357 0.00000000 0.00000000 0.01659724
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7 0.26395176 0.00000000 -1.94371023 0.36093358 0.00000000
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8 0.42830328 0.00000000 0.36093358 1.94371023 0.00000000
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9 0.00000000 1.19400471 0.00000000 0.00000000 -7.39336674
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10 0.00000000 0.37622342 0.00000000 0.00000000 -0.57554327
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11 0.00000000 -0.90570156 0.00000000 0.00000000 29.53582443
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12 0.00000000 0.47131327 0.00000000 0.00000000 -3.02575986
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13 0.01562245 0.00000000 -0.01149593 0.00213471 0.00000000
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14 0.02534988 0.00000000 0.00213471 0.01149593 0.00000000
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15 0.00000000 -0.01280357 0.00000000 0.00000000 0.01659724
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16 0.26395176 0.00000000 1.94371023 -0.36093358 0.00000000
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17 0.42830328 0.00000000 -0.36093358 -1.94371023 0.00000000
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18 0.00000000 -1.19400471 0.00000000 0.00000000 -7.39336674
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11 12 13 14 15
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1 -1.33429647 1.59230761 0.00000000 0.00000000 0.70652691
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2 0.62247070 25.49402779 0.00000000 0.00000000 -0.42093695
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3 -0.21121769 -0.76191489 0.00000000 0.00000000 0.14821556
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4 0.00000000 0.00000000 -0.15817310 -0.65006686 0.00000000
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5 0.00000000 0.00000000 -0.65006686 0.15817310 0.00000000
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6 -0.01654193 -0.44109064 0.00000000 0.00000000 -0.76320495
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7 0.00000000 0.00000000 0.07630383 0.31359689 0.00000000
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8 0.00000000 0.00000000 0.31359689 -0.07630383 0.00000000
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9 1.00842289 7.20480433 0.00000000 0.00000000 0.47777146
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10 -1.33429647 -1.59230761 0.00000000 0.00000000 0.70652691
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11 0.62247070 -25.49402779 0.00000000 0.00000000 -0.42093695
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12 -0.21121769 0.76191489 0.00000000 0.00000000 0.14821556
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13 0.00000000 0.00000000 -0.15817310 -0.65006686 0.00000000
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14 0.00000000 0.00000000 -0.65006686 0.15817310 0.00000000
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15 0.01654193 -0.44109064 0.00000000 0.00000000 0.76320495
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16 0.00000000 0.00000000 0.07630383 0.31359689 0.00000000
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17 0.00000000 0.00000000 0.31359689 -0.07630383 0.00000000
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18 -1.00842289 7.20480433 0.00000000 0.00000000 -0.47777146
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16 17 18
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1 0.00000000 0.00000000 -4.40857214
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2 0.00000000 0.00000000 8.17136545
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3 0.00000000 0.00000000 -0.45617326
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4 -1.06510465 0.09406534 0.00000000
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5 0.09406534 1.06510465 0.00000000
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6 0.00000000 0.00000000 -2.16565963
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7 0.77567609 -0.06850429 0.00000000
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8 -0.06850429 -0.77567609 0.00000000
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9 0.00000000 0.00000000 2.21822090
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10 0.00000000 0.00000000 4.40857214
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11 0.00000000 0.00000000 -8.17136545
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12 0.00000000 0.00000000 0.45617326
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13 1.06510465 -0.09406534 0.00000000
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14 -0.09406534 -1.06510465 0.00000000
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15 0.00000000 0.00000000 -2.16565963
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16 -0.77567609 0.06850429 0.00000000
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17 0.06850429 0.77567609 0.00000000
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18 0.00000000 0.00000000 2.21822090
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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 -0.48688507
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2 -0.04296251
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3 -0.01287284
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4 0.06476977
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5 0.09866098
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6 0.09866098
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7 0.24821107
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8 0.29676867
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9 0.29676867
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10 0.38110457
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11 0.46673882
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12 0.90879970
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13 1.20596285
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14 1.20596285
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15 1.65179303
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16 1.82641783
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17 1.82641783
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18 3.20892109
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-------------------------------------------------
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ENSEMBLE ENERGIES
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-------------------------------------------------
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Ensemble energy: -0.9468634691 au
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GIC Ensemble energy: -0.8425150299 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: 1.1807536201 au
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Kinetic energy state 2: 0.4523041070 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: -3.7035623379 au
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Potential energy state 2: -1.3740778021 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: 1.3650111457 au
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Hartree energy state 2: 0.4589623086 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: -0.5775793316 au
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Exchange energy state 2: -0.1020541315 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: -0.0952524241 au
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Correlation energy state 2: -0.0487478825 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: 0.0000000000 au
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c ensemble derivative state 1: 0.0000000000 au
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xc ensemble derivative state 1: 0.0000000000 au
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x ensemble derivative state 2: 0.0000000000 au
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c ensemble derivative state 2: 0.0000000000 au
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xc ensemble derivative state 2: 0.0000000000 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: -1.1163436136 au
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Individual energy state 2: 0.1006723138 au
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-------------------------------------------------
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Excitation energy 1 -> 2: 1.2170159274 au
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x energy contribution : 0.4755252001 au
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c energy contribution : 0.0465045416 au
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xc energy contribution : 0.5220297417 au
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x ensemble derivative : 0.0000000000 au
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c ensemble derivative : 0.0000000000 au
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xc ensemble derivative : 0.0000000000 au
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-------------------------------------------------
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Excitation energy 1 -> 2: 33.1166901928 eV
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x energy contribution : 12.9396997829 eV
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c energy contribution : 1.2654530331 eV
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xc energy contribution : 14.2051528160 eV
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x ensemble derivative : 0.0000000000 eV
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c ensemble derivative : 0.0000000000 eV
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xc ensemble derivative : 0.0000000000 eV
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-------------------------------------------------
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Total CPU time for GOC-RKS = 4.497 seconds
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