Startseite    

H2+, CI

STO-6G

----------------------- ----------------------------
GUGA DISTINCT ROW TABLE WRITTEN BY B.R.BROOKS,P.SAXE
----------------------- ----------------------------

GROUP=C1 NPRT= 0
FORS= F INTACT= F
FOCI= F MXNINT= 20000
SOCI= F MXNEME= 7500
IEXCIT= 1 NWORD = 180018

-CORE- -INTERNAL- -EXTERNAL-
NFZC= 0 NDOC= 0 NEXT= 0
NMCC= 0 NAOS= 0 NFZV= 0
NBOS= 0
NALP= 1
NVAL= 1

THE MAXIMUM ELECTRON EXCITATION WILL BE 1

SYMMETRIES FOR THE 0 CORE, 2 ACTIVE, 0 EXTERNAL MO-S ARE
ACTIVE= A A
ALP VAL

MOLECULAR CHARGE = 1
NUMBER OF ALPHA ELECTRONS = 1
NUMBER OF BETA ELECTRONS = 0

THE ELECTRONIC STATE IS 2-A

THE DISTINCT ROW TABLE HAS 4 ROWS.
THE WAVEFUNCTION CONTAINS 2 WALKS (CSF-S).

TOTAL NUMBER OF INTEGRALS = 9
NUMBER OF INTEGRALS/GROUP = 9
NUMBER OF INTEGRAL GROUPS = 1
MAXIMUM RECORD SIZES ARE 200 FOR UNIT 11 22 FOR UNIT 12
15001 FOR UNIT 15 22501 FOR UNIT 16
...... END OF -DRT- GENERATION ......

------------------------- ---------------------------------------
ENERGY MATRIX CALCULATION WRITTEN BY B.R.BROOKS,W.D.LAIDIG,P.SAXE
------------------------- ---------------------------------------

COMPUTING THE HAMILTONIAN FOR THE 2 CSF-S...

3 IS THE TOTAL NUMBER OF GENERATED LOOPS
3 WERE CREATED BY THE LOOP-DRIVEN ALGORITHM
0 WERE CREATED IMPLICITLY

2 IS THE TOTAL NUMBER OF PROCESSED LOOPS
2 DIAGONAL LOOPS ARE STORED ON WORK15 IN 1 BUFFERS OF 7500 ELEMENTS.
0 OFF DIAGONAL LOOPS ARE STORED ON WORK16 IN 1 BUFFERS OF 7500 ELEMENTS.
...... END OF ENERGY MATRIX CALCULATION ......
-----------------------------------------
DAVIDSON METHOD CI-MATRIX DIAGONALIZATION
WRITTEN BY STEVE ELBERT
-----------------------------------------
NUMBER OF STATES REQUESTED = 2
MAX. NUMB. OF EXPAN. VEC = 30
MAX. NUMB. IMPROVED STATES = 2
MAX. NUMB. OF ITERATIONS = 50
CONVERGENCE CRITERION = 1.0E-05

CHOOSING TO SOLVE SECULAR EQUATION IN MEMORY
NUMBER OF WORDS AVAILABLE = 991874
NUMBER OF WORDS USED = 19712
ENERGY MATRIX BUFFER SIZE = 7500

THE 2 LOWEST DIAGONAL ELEMENTS OF THE HAMILTONIAN ARE
-0.5424835 (CSF 1) 0.2357750 (CSF 2)

SOLUTION FOUND WITH DIRECT METHOD

STATE # 1 ENERGY = -0.542483513

CSF COEF OCCUPANCY (IGNORING CORE)
--- ---- --------- --------- -----
1 1.000000 10

STATE # 2 ENERGY = 0.235774967

CSF COEF OCCUPANCY (IGNORING CORE)
--- ---- --------- --------- -----
2 1.000000 01
...... END OF CI-MATRIX DIAGONALIZATION ......

CPU TIME: STEP = 0.00 , TOTAL = 0.3 SECONDS ( 0.0 MIN)
WALL CLOCK TIME: STEP = 0.00 , TOTAL = 0.3 SECONDS ( 0.0 MIN)
CPU UTILIZATION: STEP = 100.00%, TOTAL = 100.00%

--------------------------------------
CI DENSITY MATRIX AND NATURAL ORBITALS
--------------------------------------
NFLGDM= 1 0
NWORD= 0 IROOT= 1 IBLOCK= 0
THE ENERGY OF STATE -IROOT- IS -0.5424835131
NUMBER OF STATES = 2
NUMBER OF CONFIGURATIONS = 2
NUMBER OF 1E-LOOPS = 3

CI EIGENSTATE 1 TOTAL ENERGY = -0.5424835131

NATURAL ORBITALS IN ATOMIC ORBITAL BASIS
----------------------------------------

               1         2

            1.0000     0.0000

 1 H 1 S   0.548866   1.212198
 2 H 2 S   0.548866  -1.212198

PROPERTIES WILL BE COMPUTED FOR ROOT 1
...... END OF DENSITY MATRIX CALCULATION ......

Zum Vergleich ohne CI:

FINAL ENERGY IS -0.5424835131 AFTER 2 ITERATIONS   Das ist identisch mit mit
                                                   CI (-0.542483513)
Sonst müsste auch im "natural orbital" 2 die Elektronenbesetzung > 0 sein.


--------------------
SPIN SZ = 0.500
S-SQUARED = 0.750
--------------------

------------
EIGENVECTORS
------------

               1         2
            -1.2576    0.0036
              A1G       A2U
 1 H 1 S   0.548866   1.212198
 2 H 2 S   0.548866  -1.212198



-----------------------------
properties for the CI density
-----------------------------

-----------------
ENERGY COMPONENTS
-----------------

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -1.2575879040
TWO ELECTRON ENERGY = 0.0000000000
NUCLEAR REPULSION ENERGY = 0.7151043909
------------------
TOTAL ENERGY = -0.5424835131

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.0000000000
NUCLEUS-ELECTRON POTENTIAL ENERGY = -1.8622459438
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 0.7151043909
------------------
TOTAL POTENTIAL ENERGY = -1.1471415530
TOTAL KINETIC ENERGY = 0.6046580399
VIRIAL RATIO (V/T) = 1.8971740675

Zum Vergleich ohne CI:
-----------------
ENERGY COMPONENTS
-----------------

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -1.2575879040
TWO ELECTRON ENERGY = 0.0000000000
NUCLEAR REPULSION ENERGY = 0.7151043909
------------------
TOTAL ENERGY = -0.5424835131

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.0000000000
NUCLEUS-ELECTRON POTENTIAL ENERGY = -1.8622459438
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 0.7151043909
------------------
TOTAL POTENTIAL ENERGY = -1.1471415530
TOTAL KINETIC ENERGY = 0.6046580399
VIRIAL RATIO (V/T) = 1.8971740675


---------------------------------------
MULLIKEN AND LOWDIN POPULATION ANALYSES
---------------------------------------

MULLIKEN ATOMIC POPULATION IN EACH MOLECULAR ORBITAL

1 2

1.000000 0.000000

1 0.500000 0.000000
2 0.500000 0.000000

WARNING! CI POPULATIONS SHOWN ABOVE ARE FOR THE NATURAL ORBITALS.
IGNORE THE ABOVE DATA FOR CI FUNCTIONS WHICH ARE NOT OF -FORS- TYPE.
THE FOLLOWING POPULATIONS ARE CORRECT FOR ANY CI WAVEFUNCTION.

----- POPULATIONS IN EACH AO -----
MULLIKEN LOWDIN
1 H 1 S 0.50000 0.50000
2 H 2 S 0.50000 0.50000

----- MULLIKEN ATOMIC OVERLAP POPULATIONS -----
(OFF-DIAGONAL ELEMENTS NEED TO BE MULTIPLIED BY 2)

1 2

1 0.3012537
2 0.1987463 0.3012537

TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS
ATOM MULL.POP. CHARGE LOW.POP. CHARGE
1 H 0.500000 0.500000 0.500000 0.500000
2 H 0.500000 0.500000 0.500000 0.500000
 

Fazit: Mit und ohne CI kommt hier das Gleiche heraus (für den Grundzustand; für den angeregten Zustand aber gravierende Unterschiede, s. u.)!

311G p3

FINAL ENERGY IS -0.6017074535 AFTER 7 ITERATIONS
Bindungsenergie = 0.10171 (exp.: 0.102 H)

--------------------
SPIN SZ = 0.500
S-SQUARED = 0.750
--------------------

------------
EIGENVECTORS
------------

                1          2         3          4          5
             -1.1205    -0.2710    -0.0287    -0.0287   -0.0221
               A1G        A2U        EU         EU        A1G
 1 H 1 S    0.200430   0.163686   0.000000   0.000000  -0.058847
 2 H 1 S    0.356770   0.448102   0.000000   0.000000  -0.574811
 3 H 1 S    0.057079   0.953999   0.000000   0.000000   0.821663
 4 H 1 X    0.000000   0.000000   0.000000   0.011185   0.000000
 5 H 1 Y    0.000000   0.000000   0.011185   0.000000   0.000000
 6 H 1 Z   -0.003326   0.002960   0.000000   0.000000   0.006267
 7 H 1 X    0.000000   0.000000   0.000000  -0.000908   0.000000
 8 H 1 Y    0.000000   0.000000  -0.000908   0.000000   0.000000
 9 H 1 Z   -0.042966   0.017089   0.000000   0.000000   0.012482
10 H 1 X    0.000000   0.000000   0.000000   0.540296   0.000000
11 H 1 Y    0.000000   0.000000   0.540296   0.000000   0.000000
12 H 1 Z   -0.028597  -0.036737   0.000000   0.000000   0.190438
13 H 2 S    0.200430  -0.163686   0.000000   0.000000  -0.058847
14 H 2 S    0.356770  -0.448102   0.000000   0.000000  -0.574811
15 H 2 S    0.057079  -0.953999   0.000000   0.000000   0.821663
16 H 2 X    0.000000   0.000000   0.000000   0.011185   0.000000
17 H 2 Y    0.000000   0.000000   0.011185   0.000000   0.000000
18 H 2 Z    0.003326   0.002960   0.000000   0.000000  -0.006267
19 H 2 X    0.000000   0.000000   0.000000  -0.000908   0.000000
20 H 2 Y    0.000000   0.000000  -0.000908   0.000000   0.000000
21 H 2 Z    0.042966   0.017089   0.000000   0.000000  -0.012482
22 H 2 X    0.000000   0.000000   0.000000   0.540296   0.000000
23 H 2 Y    0.000000   0.000000   0.540296   0.000000   0.000000
24 H 2 Z    0.028597  -0.036737   0.000000   0.000000  -0.190438

THE NUCLEAR REPULSION ENERGY IS 0.5188012247
 

CI

SOLUTION FOUND WITH DIRECT METHOD

STATE # 1 ENERGY = -0.601707453    keine Änderung zu ohne CI

CSF COEF OCCUPANCY (IGNORING CORE)
--- ---- --------- --------- -----
1 1.000000 100000000000000000000000

STATE # 2 ENERGY = -0.143193966   ohne CI: +0.2428 (Orbitalenergie + Kern-
                                  Kern-Abstoßungsenergie.


CSF COEF OCCUPANCY (IGNORING CORE)
--- ---- --------- --------- -----
16 0.059120 000000000100000000000000
20 -0.172144 000001000000000000000000
24 0.983218 010000000000000000000000
...... END OF CI-MATRIX DIAGONALIZATION ......
 

Startseite