Arbeiten mit GAMESS

Input - allgemein  

H2, CI, Geometrie-Optimierung im angeregten Zustand

Input

!
! H2-Molekuel, CI, S1
!
$CONTRL SCFTYP=RHF MULT=1 RUNTYP=OPTIMIZE COORD=ZMT CITYP=GUGA $END
$SYSTEM TIMLIM=10 MEMORY=1000000 $END
$BASIS GBASIS=STO NGAUSS=6 $END
$CIDRT GROUP=C1 IEXCIT=1 NFZC=0 NDOC=1 NVAL=1 $END
$GUGDIA NSTATE=2 $END
$GUGDM IROOT=2 NFLGDM(2)=1 $END
$GUGDM2 WSTATE(1)=0.0,1.0 $END
$GUESS GUESS=HUCKEL $END
$DATA
H2-Molekuel, CI, S1
DNH 4

H
H 1 R

R 0.74
$END

Output

Als Erstes erfolgt ein SCF-Rechnung:

-------------------
RHF SCF CALCULATION
-------------------

NUCLEAR ENERGY = 0.7151043909
MAXIT = 30 NPUNCH= 2
EXTRAP=T DAMP=F SHIFT=F RSTRCT=F DIIS=F DEM=F SOSCF=F
DENSITY CONV= 1.00E-06
MEMORY REQUIRED FOR RHF STEP= 7553 WORDS.

ITER EX DEM TOTAL ENERGY E CHANGE DENSITY CHANGE DIIS ERROR
1 0 0 -1.125372198 -1.125372198 0.000000000 0.000000000
2 1 0 -1.125372198 0.000000000 0.000000000 0.000000000

-----------------
DENSITY CONVERGED
-----------------
TIME TO FORM FOCK OPERATORS= 0.0 SECONDS ( 0.0 SEC/ITER)
TIME TO SOLVE SCF EQUATIONS= 0.0 SECONDS ( 0.0 SEC/ITER)

FINAL ENERGY IS -1.1253721975 AFTER 2 ITERATIONS

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

                1          2
             -0.5829    0.6679
               A1G        A2U
 1 H 1 S    0.548866   1.212198
 2 H 2 S    0.548866  -1.212198
...... END OF RHF CALCULATION ......
 ------------------------------
properties for the RHF density
------------------------------

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

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -2.5151758079
TWO ELECTRON ENERGY = 0.6746992196
NUCLEAR REPULSION ENERGY = 0.7151043909
------------------
TOTAL ENERGY = -1.1253721975

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.6746992196
NUCLEUS-ELECTRON POTENTIAL ENERGY = -3.7244918877
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 0.7151043909
------------------
TOTAL POTENTIAL ENERGY = -2.3346882772
TOTAL KINETIC ENERGY = 1.2093160797
VIRIAL RATIO (V/T) = 1.9305856561
---------------------------------------
MULLIKEN AND LOWDIN POPULATION ANALYSES
---------------------------------------

MULLIKEN ATOMIC POPULATION IN EACH MOLECULAR ORBITAL

          1

      2.000000

 1    1.000000
 2    1.000000
----- POPULATIONS IN EACH AO -----
            MULLIKEN    LOWDIN
 1 H 1 S    1.00000    1.00000
 2 H 2 S    1.00000    1.00000

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

          1           2

 1    0.6025074
 2    0.3974926    0.6025074

TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS
ATOM    MULL.POP.  CHARGE     LOW.POP.  CHARGE
 1 H    1.000000  0.000000    1.000000  0.000000
 2 H    1.000000  0.000000    1.000000  0.000000

-------------------------------
BOND ORDER AND VALENCE ANALYSIS BOND ORDER THRESHOLD=0.050
-------------------------------

                 BOND           
ATOM PAIR DIST   ORDER
   1 2    0.740  1.000

        TOTAL      BONDED  FREE
ATOM    VALENCE    VALENCE VALENCE
 1 H    1.000       1.000   0.000
 2 H    1.000       1.000   0.000

Es folgt die CI-Rechnung:

GUGA CI RUN OPTIONS NRNFG NPFLG
-------------------------------------
-DRT- TABLE           1     0
TRANSFORMATION        1     0
ENERGY MATRIX         1     0
DIAGONALIZATION       1     0
1E-DENSITY MATRIX     1     0
2E-DENSITY MATRIX     1     0
LAGRANGIAN MATRIX     1     0

----------------------- ----------------------------
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= 1  NEXT= 0
NMCC= 0  NAOS= 0  NFZV= 0
NBOS= 0
NALP= 0
NVAL= 1

THE MAXIMUM ELECTRON EXCITATION WILL BE 1   Variante: IEXCIT=2

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

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

THE ELECTRONIC STATE IS 1-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 ......
------------------------
GUGA-CI INTEGRAL SORTING
------------------------

30010 WORDS NEEDED TO SORT 9 GUGA INTEGRALS IN MEMORY
991850 WORDS ARE AVAILABLE
CHOOSING IN-MEMORY SORTING...
IN CORE ALGORITHM SORTED 3 NON-ZERO 1E- INTEGRALS
IN CORE ALGORITHM SORTED 4 NON-ZERO 2E- INTEGRALS
...... END OF INTEGRAL SORTING ......
 ------------------------- ---------------------------------------
ENERGY MATRIX CALCULATION WRITTEN BY B.R.BROOKS,W.D.LAIDIG,P.SAXE
------------------------- ---------------------------------------

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

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

4 IS THE TOTAL NUMBER OF PROCESSED LOOPS
4 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 = 991850
NUMBER OF WORDS USED = 19712
ENERGY MATRIX BUFFER SIZE = 7500

THE 2 LOWEST DIAGONAL ELEMENTS OF THE HAMILTONIAN ARE
 -1.1253722 (CSF 1)    -0.1759310 (CSF 2)

SOLUTION FOUND WITH DIRECT METHOD

STATE # 1 ENERGY = -1.125372198

CSF     COEF    OCCUPANCY (IGNORING CORE)
---     ----    --------- --------- -----
 1    1.000000          20

STATE # 2 ENERGY = -0.175930966

CSF     COEF     OCCUPANCY (IGNORING CORE)
---     ----     --------- --------- -----
 2    1.000000          11
...... END OF CI-MATRIX DIAGONALIZATION ......
--------------------------------------
CI DENSITY MATRIX AND NATURAL ORBITALS
--------------------------------------
NFLGDM= 1 1
 NWORD= 0   IROOT= 2   IBLOCK= 0
THE ENERGY OF STATE -IROOT- IS -0.1759309656
NUMBER OF STATES = 2
NUMBER OF CONFIGURATIONS = 2
NUMBER OF 1E-LOOPS = 4

CI EIGENSTATE 1 TOTAL ENERGY = -1.1253721975

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

                1          2

             2.0000     0.0000

 1 H 1 S    0.548866   1.212198
 2 H 2 S    0.548866  -1.212198
NUMBER OF 1E-LOOPS = 4

CI EIGENSTATE 2 TOTAL ENERGY = -0.1759309656

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

                1          2

             1.0000     1.0000

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

PROPERTIES WILL BE COMPUTED FOR ROOT 2
...... END OF DENSITY MATRIX CALCULATION ......
-------------------------------------
2-PARTICLE DENSITY MATRIX CALCULATION
-------------------------------------
2 BODY DENSITY IS AN AVERAGE OF 1 STATE(S).
STATE WEIGHT ENERGY
2 1.000000 -0.1759309656
5 -DM2- LOOPS WERE GENERATED
5 WERE CREATED BY THE LOOP-DRIVEN ALGORITHM
0 WERE CREATED IMPLICITLY
1 RECORDS OF LENGTH 20000 WRITTEN TO FILE 15
...... END OF 2-PARTICLE DENSITY MATRIX CALCULATION ......
-----------------------------
properties for the CI density
-----------------------------

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

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -1.7369173283
TWO ELECTRON ENERGY = 0.8458819718
NUCLEAR REPULSION ENERGY = 0.7151043909
------------------
TOTAL ENERGY = -0.1759309656

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.8458819718
NUCLEUS-ELECTRON POTENTIAL ENERGY = -3.9093770645
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 0.7151043909
------------------
TOTAL POTENTIAL ENERGY = -2.3483907018
TOTAL KINETIC ENERGY = 2.1724597362
VIRIAL RATIO (V/T) = 1.0809823826

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

MULLIKEN ATOMIC POPULATION IN EACH MOLECULAR ORBITAL

1 2

1.000000 1.000000

1 0.500000 0.500000
2 0.500000 0.500000

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 1.00000 1.00000
2 H 2 S 1.00000 1.00000

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

1 2

1 1.7706780
2 -0.7706780 1.7706780

TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS
ATOM MULL.POP. CHARGE LOW.POP. CHARGE
1 H 1.000000 0.000000 1.000000 0.000000
2 H 1.000000 0.000000 1.000000 0.000000

Es folgt die Geometrie-Optimierung:

STATE # 1 ENERGY = -0.919086967

CSF COEF OCCUPANCY (IGNORING CORE)
--- ---- --------- --------- -----
1 1.000000 20

STATE # 2 ENERGY = -0.440318764

CSF COEF OCCUPANCY (IGNORING CORE)
--- ---- --------- --------- -----
2 1.000000 11
...... END OF CI-MATRIX DIAGONALIZATION ......

1 ***** EQUILIBRIUM GEOMETRY LOCATED *****

H2-Molekuel, CI
COORDINATES OF SYMMETRY UNIQUE ATOMS (ANGS)
ATOM CHARGE        X           Y             Z
------------------------------------------------------------
 H    1.0    0.0000000000  0.0000000000  -0.7497445227

COORDINATES OF ALL ATOMS ARE (ANGS)
ATOM CHARGE       X             Y             Z
------------------------------------------------------------
 H    1.0    0.0000000000  0.0000000000  0.7497445227
 H    1.0    0.0000000000  0.0000000000 -0.7497445227

THE CURRENT FULLY SUBSTITUTED Z-MATRIX IS
 H
 H 1  1.4994890

INTERNUCLEAR DISTANCES (ANGS.)
------------------------------

           H            H

1 H    0.0000000    1.4994890 *
2 H    1.4994890 *  0.0000000

* ... LESS THAN 3.000


NUCLEAR ENERGY = 0.3529050452
ELECTRONIC ENERGY = -1.2719920124
TOTAL ENERGY = -0.9190869673

------------------
MOLECULAR ORBITALS
------------------

                1         2
             -0.3597    0.2197
               A1G       A2U
 1 H 1 S    0.630684   0.820352
 2 H 2 S    0.630684  -0.820352


------------------------------
properties for the RHF density
------------------------------

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

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -1.8246538043
TWO ELECTRON ENERGY = 0.5526617919
NUCLEAR REPULSION ENERGY = 0.3529050452
------------------
TOTAL ENERGY = -0.9190869673

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.5526617919
NUCLEUS-ELECTRON POTENTIAL ENERGY = -3.0619494870
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 0.3529050452
------------------
TOTAL POTENTIAL ENERGY = -2.1563826500
TOTAL KINETIC ENERGY = 1.2372956827
VIRIAL RATIO (V/T) = 1.7428191823

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

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

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -1.5829299860
TWO ELECTRON ENERGY = 0.7897061763
NUCLEAR REPULSION ENERGY = 0.3529050452
------------------
TOTAL ENERGY = -0.4403187645

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.7897061763
NUCLEUS-ELECTRON POTENTIAL ENERGY = -3.2236739573
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 0.3529050452
------------------
TOTAL POTENTIAL ENERGY = -2.0810627358
TOTAL KINETIC ENERGY = 1.6407439713
VIRIAL RATIO (V/T) = 1.2683653100

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

MULLIKEN ATOMIC POPULATION IN EACH MOLECULAR ORBITAL

          1         2

      1.000000   1.000000

 1    0.500000   0.500000
 2    0.500000   0.500000

Variante mit IEXCIT=2:

 THE 3 LOWEST DIAGONAL ELEMENTS OF THE HAMILTONIAN ARE
-0.9190870 (CSF 1) -0.4403188 (CSF 2) -0.4039421 (CSF 3)

RESTARTING WITH PREVIOUS CI EIGENVECTORS...

STATE # 1 ENERGY = -1.006643272   mit IEXCIT=1: -0.919086967
Das ist die Energie des Grundzustandes bei der Gleichgewichtsgeometrie des angeregten Zustandes!


CSF     COEF      OCCUPANCY (IGNORING CORE)
---     ----      --------- --------- -----
 1    0.934427            20
 3   -0.356154            02

Nur hier tritt eine Veränderung auf. Der doppelt-angeregte Zustand mischt nur mit dem Grundzustand!

STATE # 2 ENERGY = -0.440318764

CSF COEF OCCUPANCY (IGNORING CORE)
--- ---- --------- --------- -----
2 1.000000 11

RENORMALIZED DAVIDSON CORRECTION FOR 1-REFERENCE CI.
C0SQ= 0.873154 EREF= -0.919087 E-E(REF)= 0.087556 E(Q)= 0.012720
GIVES A E(SD+Q) ESTIMATE OF -1.0193628545
...... END OF CI-MATRIX DIAGONALIZATION ......
 

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