Startseite    

Geradzahlige lineare Kette von H-Atomen

H43+, H42+

Input

!
! H4 3plus
!
$CONTRL SCFTYP=ROHF MULT=2 ICHARG=3 RUNTYP=ENERGY COORD=UNIQUE $END
$SYSTEM TIMLIM=1000 MEMORY=5000000 $END
$BASIS GBASIS=STO NGAUSS=6 $END
$GUESS GUESS=HUCKEL $END
$DATA
H2 3plus
CNH 2

H 1.0 0.000 0.500 0.000
H 1.0 0.000 1.500 0.000
$END

Output

ATOM ATOMIC COORDINATES (BOHR)
CHARGE X Y Z
H 1.0 0.0000000000 -0.9448629939 0.0000000000
H 1.0 0.0000000000 0.9448629939 0.0000000000
H 1.0 0.0000000000 -2.8345889816 0.0000000000
H 1.0 0.0000000000 2.8345889816 0.0000000000

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

H H H H

1 H 0.0000000 1.0000000 * 1.0000000 * 2.0000000 *
2 H 1.0000000 * 0.0000000 2.0000000 * 1.0000000 *
3 H 1.0000000 * 2.0000000 * 0.0000000 3.0000000 *
4 H 2.0000000 * 1.0000000 * 3.0000000 * 0.0000000
 --------------------
ROHF SCF CALCULATION
--------------------

NUCLEAR ENERGY = 2.2931014134
MAXIT = 30 NPUNCH= 2 MULT= 2
EXTRAP=T DAMP=F SHIFT=F RSTRCT=F DIIS=F SOSCF=F
DENSITY CONV= 1.00E-05
ROHF CANONICALIZATION PARAMETERS
C-C O-O V-V
ALPHA -0.5000 0.5000 1.5000
BETA 1.5000 0.5000 -0.5000
MEMORY REQUIRED FOR UHF/ROHF STEP= 8197 WORDS.

ITER EX TOTAL ENERGY E CHANGE DENSITY CHANGE DIIS ERROR
1 0 0.455034039 0.455034039 0.073840532 0.000000000
2 1 0.418715225 -0.036318814 0.024085510 0.000000000
3 2 0.414609018 -0.004106207 0.007944084 0.000000000
4 3 0.414144736 -0.000464282 0.002651060 0.000000000
5 0 0.414092243 -0.000052494 0.001338252 0.000000000
6 1 0.414085551 -0.000006692 0.000000468 0.000000000
7 2 0.414085551 0.000000000 0.000000157 0.000000000

-----------------
DENSITY CONVERGED
-----------------

FINAL ENERGY IS 0.4140855511 AFTER 7 ITERATIONS

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

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

                1         2          3          4
             -1.8790    -1.2418   -0.8730    -0.4644
                AG        BU         AG         BU
 1 H 1 S    0.539908   0.506585  -0.391300   1.067508
 2 H 2 S    0.539908  -0.506585  -0.391300  -1.067508
 3 H 3 S    0.084668   0.450739   0.802605  -0.717687
 4 H 4 S    0.084668  -0.450739   0.802605   0.717687

MO1                        MO2                     MO3

MO4

...... END OF ROHF CALCULATION ......

-------------------------------
properties for the ROHF density
-------------------------------

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

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -1.8790158623
TWO ELECTRON ENERGY = 0.0000000000
NUCLEAR REPULSION ENERGY = 2.2931014134
------------------
TOTAL ENERGY = 0.4140855511

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.0000000000
NUCLEUS-ELECTRON POTENTIAL ENERGY = -2.4214415619
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 2.2931014134
------------------
TOTAL POTENTIAL ENERGY = -0.1283401485
TOTAL KINETIC ENERGY = 0.5424256996
VIRIAL RATIO (V/T) = 0.2366041075

...... PI ENERGY ANALYSIS ......

ENERGY ANALYSIS:
FOCK ENERGY= -1.8790158623
BARE H ENERGY= -1.8790158623
ELECTRONIC ENERGY = -1.8790158623
KINETIC ENERGY= 0.5424256996
N-N REPULSION= 2.2931014134
TOTAL ENERGY= 0.4140855511
SIGMA PART(1+2)= -1.8790158623
(K,V1,2)= 0.5424256996 -2.4214415619 0.0000000000
PI PART(1+2)= 0.0000000000
(K,V1,2)= 0.0000000000 0.0000000000 0.0000000000
SIGMA SKELETON, ERROR= 0.4140855511 0.0000000000
MIXED PART= 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
...... END OF PI ENERGY ANALYSIS ......

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

MULLIKEN ATOMIC POPULATION IN EACH MOLECULAR ORBITAL

          1
      1.000000

 1    0.464488
 2    0.464488
 3    0.035512
 4    0.035512

ATOMIC SPIN POPULATION (ALPHA MINUS BETA)
 ATOM   MULL.POP.  LOW.POP.
 1 H    0.464488   0.444170
 2 H    0.464488   0.444170
 3 H    0.035512   0.055830
 4 H    0.035512   0.055830

----- POPULATIONS IN EACH AO -----
            MULLIKEN  LOWDIN
 1 H 1 S    0.46449   0.44417
 2 H 2 S    0.46449   0.44417
 3 H 3 S    0.03551   0.05583
 4 H 4 S    0.03551   0.05583

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

           1          2           3         4
 1    0.2915008
 2    0.1447987   0.2915008
 3    0.0227071   0.0054811   0.0071686
 4    0.0054811   0.0227071   0.0001555   0.0071686

TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS
 ATOM    MULL.POP.   CHARGE      LOW.POP.   CHARGE
  1 H    0.464488   0.535512    0.444170   0.555830
  2 H    0.464488   0.535512    0.444170   0.555830
  3 H    0.035512   0.964488    0.055830   0.944170
  4 H    0.035512   0.964488    0.055830   0.944170



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

                       BOND           BOND                 BOND
ATOM PAIR  DIST ORDER  ATOM PAIR DIST ORDER ATOM PAIR DIST ORDER
   1 2    1.000 0.431
Es ist durchaus bemerkenswert, dass die Bindungsordnung zwischen H1-H3 und H2-H4 praktisch gleich Null ist.

       TOTAL   BONDED  FREE
 ATOM  VALENCE VALENCE VALENCE
 1 H    0.713   0.497   0.216
 2 H    0.713   0.497   0.216
 3 H    0.070   0.069   0.001
 4 H    0.070   0.069   0.001

ATOMIC SPIN DENSITY AT THE NUCLEUS (A.U.)
-----------------------------------------

1 H 1.0 0.1958699
2 H 1.0 0.1958699
3 H 1.0 0.0113049
4 H 1.0 0.0113049

H42+, Singulett

Input

!
! H4 2plus, Singulett
!
$CONTRL SCFTYP=RHF MULT=1 ICHARG=2 RUNTYP=ENERGY COORD=UNIQUE $END
$SYSTEM TIMLIM=1000 MEMORY=5000000 $END
$BASIS GBASIS=STO NGAUSS=6 $END
$GUESS GUESS=HUCKEL $END
$DATA
H2 2plus, Singulett
DNH 2

H 1.0 0.000 0.500 0.000
H 1.0 0.000 1.500 0.000
$END

Output

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

NUCLEAR ENERGY = 2.2931014134
MAXIT = 30 NPUNCH= 2
EXTRAP=T DAMP=F SHIFT=F RSTRCT=F DIIS=F DEM=F SOSCF=F
DENSITY CONV= 1.00E-05
MEMORY REQUIRED FOR RHF STEP= 7665 WORDS.

ITER EX DEM TOTAL ENERGY E CHANGE DENSITY CHANGE DIIS ERROR
1 0 0 -0.886209342 -0.886209342 0.078601298 0.000000000
2 1 0 -0.902363807 -0.016154465 0.013030548 0.000000000
3 2 0 -0.902806697 -0.000442890 0.002367174 0.000000000
4 3 0 -0.902821331 -0.000014634 0.000436865 0.000000000
5 4 0 -0.902821830 -0.000000499 0.000080857 0.000000000
6 5 0 -0.902821847 -0.000000017 0.000014973 0.000000000
7 6 0 -0.902821847 -0.000000001 0.000002773 0.000000000
8 7 0 -0.902821847 0.000000000 0.000000514 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 -0.9028218474 AFTER 8 ITERATIONS

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

                1         2          3          4
             -1.3305    -0.8234   -0.4598     0.0595
                AG        B2U        AG         B2U
 1 H 1 S    0.478444   0.363881  -0.464444   1.124185
 2 H 2 S    0.478444  -0.363881  -0.464444  -1.124185
 3 H 3 S    0.198502   0.539997   0.782267  -0.653179
 4 H 4 S    0.198502  -0.539997   0.782267   0.653179
...... END OF RHF CALCULATION ......


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

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

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -3.7307542637
TWO ELECTRON ENERGY = 0.5348310029
NUCLEAR REPULSION ENERGY = 2.2931014134
------------------
TOTAL ENERGY = -0.9028218474

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.5348310029
NUCLEUS-ELECTRON POTENTIAL ENERGY = -4.7330300452
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 2.2931014134
------------------
TOTAL POTENTIAL ENERGY = -1.9050976290
TOTAL KINETIC ENERGY = 1.0022757815
VIRIAL RATIO (V/T) = 1.9007718874

...... PI ENERGY ANALYSIS ......

ENERGY ANALYSIS:
FOCK ENERGY= -2.6610924762
BARE H ENERGY= -3.7307542637
ELECTRONIC ENERGY = -3.1959233700
KINETIC ENERGY= 1.0022757815
N-N REPULSION= 2.2931014134
TOTAL ENERGY= -0.9028219566
SIGMA PART(1+2)= -3.1959233700
(K,V1,2)= 1.0022757815 -4.7330300452 0.5348308938
PI PART(1+2)= 0.0000000000
(K,V1,2)= 0.0000000000 0.0000000000 0.0000000000
SIGMA SKELETON, ERROR= -0.9028219566 0.0000000000
MIXED PART= 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
...... END OF PI ENERGY ANALYSIS ......

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

MULLIKEN ATOMIC POPULATION IN EACH MOLECULAR ORBITAL

          1
      2.000000

 1    0.802357
 2    0.802357
 3    0.197643
 4    0.197643

----- POPULATIONS IN EACH AO -----
            MULLIKEN  LOWDIN
 1 H 1 S    0.80236   0.78338
 2 H 2 S    0.80236   0.78338
 3 H 3 S    0.19764   0.21662
 4 H 4 S    0.19764   0.21662

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

          1           2          3          4
 1    0.4578166
 2    0.2274135   0.4578166
 3    0.0943521   0.0227750   0.0788064
 4    0.0227750   0.0943521   0.0017094   0.0788064

TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS
ATOM    MULL.POP.   CHARGE     LOW.POP.    CHARGE
 1 H    0.802357   0.197643    0.783380   0.216620
 2 H    0.802357   0.197643    0.783380   0.216620
 3 H    0.197643   0.802357    0.216620   0.783380
 4 H    0.197643   0.802357    0.216620   0.783380



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

                BOND                    BOND                    BOND
ATOM PAIR  DIST ORDER  ATOM PAIR  DIST  ORDER  ATOM PAIR  DIST  ORDER
   1 2    1.000 0.644     1 3     1.000 0.159     1 4     2.000 0.159
   2 3    2.000 0.159     2 4     1.000 0.159

TOTAL BONDED FREE
ATOM VALENCE VALENCE VALENCE
1 H 0.961 0.961 0.000
2 H 0.961 0.961 0.000
3 H 0.356 0.356 0.000
4 H 0.356 0.356 0.000
 

H42+, Triplett

Input

!
! H4 2plus, Triplett
!
$CONTRL SCFTYP=ROHF MULT=3 ICHARG=2 RUNTYP=ENERGY COORD=UNIQUE $END
$SYSTEM TIMLIM=1000 MEMORY=5000000 $END
$BASIS GBASIS=STO NGAUSS=6 $END
$GUESS GUESS=HUCKEL $END
$DATA
H2 2plus, Triplett
DNH 2

H 1.0 0.000 0.500 0.000
H 1.0 0.000 1.500 0.000
$END

 

Output

 --------------------
ROHF SCF CALCULATION
--------------------

NUCLEAR ENERGY = 2.2931014134
MAXIT = 30 NPUNCH= 2 MULT= 3
EXTRAP=T DAMP=F SHIFT=F RSTRCT=F DIIS=F SOSCF=F
DENSITY CONV= 1.00E-05
ROHF CANONICALIZATION PARAMETERS
C-C O-O V-V
ALPHA -0.5000 0.5000 1.5000
BETA 1.5000 0.5000 -0.5000
MEMORY REQUIRED FOR UHF/ROHF STEP= 8197 WORDS.

ITER EX TOTAL ENERGY E CHANGE DENSITY CHANGE DIIS ERROR
1 0 -0.809015442 -0.809015442 0.132639500 0.000000000
2 1 -0.836491255 -0.027475813 0.048088293 0.000000000
3 2 -0.839331466 -0.002840211 0.015991796 0.000000000
4 3 -0.839631392 -0.000299926 0.005218318 0.000000000
5 4 -0.839663534 -0.000032141 0.001696762 0.000000000
6 5 -0.839667019 -0.000003485 0.000552144 0.000000000
7 0 -0.839667401 -0.000000382 0.000267298 0.000000000
8 1 -0.839667449 -0.000000048 0.000000255 0.000000000
9 2 -0.839667449 0.000000000 0.000000082 0.000000000

-----------------
DENSITY CONVERGED
-----------------

FINAL ENERGY IS -0.8396674487 AFTER 9 ITERATIONS

--------------------
SPIN SZ = 1.000
S-SQUARED = 2.000
--------------------

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

1 2 3 4
-1.5568 -1.2661 -0.5717 -0.1112
AG B2U AG B2U
1 H 1 S 0.481752 0.506741 -0.461011 1.067434
2 H 2 S 0.481752 -0.506741 -0.461011 -1.067434
3 H 3 S 0.192904 0.450634 0.783666 -0.717752
4 H 4 S 0.192904 -0.450634 0.783666 0.717752
...... END OF ROHF CALCULATION ......

CPU TIME: STEP = 0.05 , TOTAL = 0.8 SECONDS ( 0.0 MIN)
WALL CLOCK TIME: STEP = 0.05 , TOTAL = 0.8 SECONDS ( 0.0 MIN)
CPU UTILIZATION: STEP = 100.00%, TOTAL = 100.00%


-------------------------------
properties for the ROHF density
-------------------------------

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

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -3.4426932993
TWO ELECTRON ENERGY = 0.3099244372
NUCLEAR REPULSION ENERGY = 2.2931014134
------------------
TOTAL ENERGY = -0.8396674487

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.3099244372
NUCLEUS-ELECTRON POTENTIAL ENERGY = -4.7096682562
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 2.2931014134
------------------
TOTAL POTENTIAL ENERGY = -2.1066424056
TOTAL KINETIC ENERGY = 1.2669749569
VIRIAL RATIO (V/T) = 1.6627340533

...... PI ENERGY ANALYSIS ......

ENERGY ANALYSIS:
FOCK ENERGY= -2.8228444387
BARE H ENERGY= -3.4426932993
ELECTRONIC ENERGY = -3.1327688690
KINETIC ENERGY= 1.2669749569
N-N REPULSION= 2.2931014134
TOTAL ENERGY= -0.8396674556
SIGMA PART(1+2)= -3.1327688690
(K,V1,2)= 1.2669749569 -4.7096682562 0.3099244303
PI PART(1+2)= 0.0000000000
(K,V1,2)= 0.0000000000 0.0000000000 0.0000000000
SIGMA SKELETON, ERROR= -0.8396674556 0.0000000000
MIXED PART= 0.00000E+00 0.00000E+00 0.00000E+00 0.00000E+00
...... END OF PI ENERGY ANALYSIS ......

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

MULLIKEN ATOMIC POPULATION IN EACH MOLECULAR ORBITAL

1 2

1.000000 1.000000

1 0.404676 0.215283
2 0.404676 0.215283
3 0.095324 0.284717
4 0.095324 0.284717

ATOMIC SPIN POPULATION (ALPHA MINUS BETA)
ATOM MULL.POP. LOW.POP.
1 H 0.619958 0.591705
2 H 0.619958 0.591705
3 H 0.380042 0.408295
4 H 0.380042 0.408295

----- POPULATIONS IN EACH AO -----
MULLIKEN LOWDIN
1 H 1 S 0.61996 0.59171
2 H 2 S 0.61996 0.59171
3 H 3 S 0.38004 0.40829
4 H 4 S 0.38004 0.40829

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

1 2 3 4

1 0.4888715
2 -0.0122698 0.4888715
3 0.1595942 -0.0162376 0.2402828
4 -0.0162376 0.1595942 -0.0035977 0.2402828

TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS
 ATOM   MULL.POP.   CHARGE     LOW.POP.    CHARGE
 1 H    0.619958   0.380042    0.591705   0.408295
 2 H    0.619958   0.380042    0.591705   0.408295
 3 H    0.380042   0.619958    0.408295   0.591705
 4 H    0.380042   0.619958    0.408295   0.591705



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

BOND BOND BOND
ATOM PAIR DIST ORDER ATOM PAIR DIST ORDER ATOM PAIR DIST ORDER
1 2 1.000 0.072 1 3 1.000 0.395 2 4 1.000 0.395
3 4 3.000 0.072

TOTAL BONDED FREE
ATOM VALENCE VALENCE VALENCE
1 H 0.856 0.471 0.384
2 H 0.856 0.471 0.384
3 H 0.616 0.471 0.144
4 H 0.616 0.471 0.144

ATOMIC SPIN DENSITY AT THE NUCLEUS (A.U.)
-----------------------------------------

1 H 1.0 0.2957745
2 H 1.0 0.2957745
3 H 1.0 0.1650926
4 H 1.0 0.1650926
 

Output, Vergleich Triplett, Singulett und Dublett

Zum Vergleich sind die Ergebnisse für den Triplettzustand schwarz, für das 1-Elektronsystem H43+ immer in dunkelblau, für den Singulettzustand in violett wiedergegeben
 

FINAL ENERGY IS -0.8396674487 AFTER 9 ITERATIONS

FINAL ENERGY IS -0.9028218474 AFTER 8 ITERATIONS

FINAL ENERGY IS 0.4140855511 AFTER 7 ITERATIONS

Beim 1-Elektronensystem überwiegt die Kern-Kern-Abstoßung

--------------------
SPIN SZ = 1.000
S-SQUARED = 2.000
--------------------

SPIN SZ = 0.500
S-SQUARED = 0.750

--------------------

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

                  1          2        3        4
              -1.5568   -1.2661   -0.5717  -0.1112
                 AG        B2U       AG       B2U
 1  H  1 S   0.481752   0.506741  -0.461011   1.067434
 2  H  2 S   0.481752  -0.506741  -0.461011  -1.067434
 3  H  3 S   0.192904   0.450634   0.783666  -0.717752
 4  H  4 S   0.192904  -0.450634   0.783666   0.717752

                  1        2        3         4
              -1.3305  -0.8234  -0.4598    0.0595
                 AG       B2U       AG       B2U
 1  H  1 S   0.478444  0.363881 -0.464444  1.124185
 2  H  2 S   0.478444 -0.363881 -0.464444 -1.124185
 3  H  3 S   0.198502  0.539997  0.782267 -0.653179
 4  H  4 S   0.198502 -0.539997  0.782267  0.653179



                 1         2         3         4
             -1.8790    -1.2418   -0.8730    -0.4644
                AG        B2U        AG        B2U
 1 H 1 S    0.539908   0.506585  -0.391300   1.067508
 2 H 2 S    0.539908  -0.506585  -0.391300  -1.067508
 3 H 3 S    0.084668   0.450739   0.802605  -0.717687
 4 H 4 S    0.084668  -0.450739   0.802605   0.717687


Man sieht, dass sich die Eigenvektoren unterscheiden.

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

WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -3.4426932993
TWO ELECTRON ENERGY = 0.3099244372
NUCLEAR REPULSION ENERGY = 2.2931014134
------------------
TOTAL ENERGY = -0.8396674487

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.3099244372
NUCLEUS-ELECTRON POTENTIAL ENERGY = -4.7096682562
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 2.2931014134
------------------
TOTAL POTENTIAL ENERGY = -2.1066424056
TOTAL KINETIC ENERGY = 1.2669749569
VIRIAL RATIO (V/T) = 1.6627340533
singl
 WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -3.7307542637
TWO ELECTRON ENERGY = 0.5348310029
NUCLEAR REPULSION ENERGY = 2.2931014134
------------------
TOTAL ENERGY = -0.9028218474

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.5348310029
NUCLEUS-ELECTRON POTENTIAL ENERGY = -4.7330300452
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 2.2931014134
------------------
TOTAL POTENTIAL ENERGY = -1.9050976290
TOTAL KINETIC ENERGY = 1.0022757815
VIRIAL RATIO (V/T) = 1.9007718874

H4_3plus
 WAVEFUNCTION NORMALIZATION = 1.0000000000

ONE ELECTRON ENERGY = -1.8790158623
TWO ELECTRON ENERGY = 0.0000000000
NUCLEAR REPULSION ENERGY = 2.2931014134
------------------
TOTAL ENERGY = 0.4140855511

ELECTRON-ELECTRON POTENTIAL ENERGY = 0.0000000000
NUCLEUS-ELECTRON POTENTIAL ENERGY = -2.4214415619
NUCLEUS-NUCLEUS POTENTIAL ENERGY = 2.2931014134
------------------
TOTAL POTENTIAL ENERGY = -0.1283401485
TOTAL KINETIC ENERGY = 0.5424256996
VIRIAL RATIO (V/T) = 0.2366041075
 

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

MULLIKEN ATOMIC POPULATION IN EACH MOLECULAR ORBITAL

Triplett
          1          2
      1.000000   1.000000

 1    0.404676   0.215283
 2    0.404676   0.215283
 3    0.095324   0.284717
 4    0.095324   0.284717

Singulett
          1
      2.000000

 1    0.802357
 2    0.802357
 3    0.197643
 4    0.197643


Dublett
          1
      1.000000

 1    0.464488
 2    0.464488
 3    0.035512
 4    0.035512

ATOMIC SPIN POPULATION (ALPHA MINUS BETA)
ATOM MULL.POP. LOW.POP.
 1 H    0.619958    0.591705
 2 H    0.619958    0.591705
 3 H    0.380042    0.408295
 4 H    0.380042    0.408295

singl
 ----- POPULATIONS IN EACH AO -----
            MULLIKEN  LOWDIN
 1 H 1 S    0.80236   0.78338
 2 H 2 S    0.80236   0.78338
 3 H 3 S    0.19764   0.21662
 4 H 4 S    0.19764   0.21662

H4_3plus
 ATOMIC SPIN POPULATION (ALPHA MINUS BETA)
 ATOM   MULL.POP.  LOW.POP.
 1 H    0.464488   0.444170
 2 H    0.464488   0.444170
 3 H    0.035512   0.055830
 4 H    0.035512   0.055830

----- POPULATIONS IN EACH AO -----
            MULLIKEN  LOWDIN
 1 H 1 S    0.61996   0.59171
 2 H 2 S    0.61996   0.59171
 3 H 3 S    0.38004   0.40829
 4 H 4 S    0.38004   0.40829

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

          1           2          3           4
 1    0.4578166
 2    0.2274135   0.4578166
 3    0.0943521   0.0227750   0.0788064
 4    0.0227750   0.0943521   0.0017094   0.0788064

H4_3plus
 ----- POPULATIONS IN EACH AO -----
            MULLIKEN  LOWDIN
 1 H 1 S    0.46449   0.44417
 2 H 2 S    0.46449   0.44417
 3 H 3 S    0.03551   0.05583
 4 H 4 S    0.03551   0.05583

----- MULLIKEN ATOMIC OVERLAP POPULATIONS -----
(OFF-DIAGONAL ELEMENTS NEED TO BE MULTIPLIED BY 2)
          1           2          3           4
 1    0.4888715
 2   -0.0122698   0.4888715
 3    0.1595942  -0.0162376   0.2402828
 4   -0.0162376   0.1595942  -0.0035977   0.2402828

singl
                  BOND                    BOND                   BOND
ATOM PAIR  DIST   ORDER  ATOM PAIR  DIST  ORDER ATOM PAIR  DIST  ORDER
   1 2     1.000  0.644     1 3     1.000 0.159    1 4     2.000 0.159
   2 3     2.000  0.159     2 4     1.000 0.159

H4_3plus
 ----- MULLIKEN ATOMIC OVERLAP POPULATIONS -----
(OFF-DIAGONAL ELEMENTS NEED TO BE MULTIPLIED BY 2)

          1           2           3          4
 1    0.2915008
 2    0.1447987   0.2915008
 3    0.0227071   0.0054811   0.0071686
 4    0.0054811   0.0227071   0.0001555   0.0071686


TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS
ATOM MULL.POP. CHARGE LOW.POP. CHARGE
1 H 0.619958 0.380042 0.591705 0.408295
2 H 0.619958 0.380042 0.591705 0.408295
3 H 0.380042 0.619958 0.408295 0.591705
4 H 0.380042 0.619958 0.408295 0.591705
H4_3plus
 TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS
ATOM MULL.POP. CHARGE LOW.POP. CHARGE
1 H 0.464488 0.535512 0.444170 0.555830
2 H 0.464488 0.535512 0.444170 0.555830
3 H 0.035512 0.964488 0.055830 0.944170
4 H 0.035512 0.964488 0.055830 0.944170


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

Triplett
                BOND                   BOND                     BOND
ATOM PAIR  DIST ORDER ATOM PAIR  DIST  ORDER  ATOM PAIR  DIST   ORDER
   1 2    1.000 0.072    1 3     1.000 0.395    2 4      1.000  0.395
   3 4    3.000 0.072

H4_3plus

                BOND BOND BOND
ATOM PAIR  DIST ORDER ATOM PAIR DIST ORDER ATOM PAIR DIST ORDER
   1 2    1.000 0.431


       TOTAL   BONDED  FREE
 ATOM  VALENCE VALENCE VALENCE
 1 H    0.856   0.471   0.384
 2 H    0.856   0.471   0.384
 3 H    0.616   0.471   0.144
 4 H    0.616   0.471   0.144

singl
                BOND                   BOND                     BOND
ATOM PAIR  DIST ORDER ATOM PAIR  DIST  ORDER  ATOM PAIR  DIST   ORDER
   1 2    1.000 0.644    1 3    1.000  0.159     1 4     2.000  0.159
   2 3    2.000 0.159    2 4    1.000  0.159


H4_3plus
       TOTAL   BONDED  FREE
 ATOM  VALENCE VALENCE VALENCE
 1 H    0.713   0.497   0.216
 2 H    0.713   0.497   0.216
 3 H    0.070   0.069   0.001
 4 H    0.070   0.069   0.001


ATOMIC SPIN DENSITY AT THE NUCLEUS (A.U.)
-----------------------------------------

 1 H 1.0    0.2957745
 2 H 1.0    0.2957745
 3 H 1.0    0.1650926
 4 H 1.0    0.1650926

singl
       TOTAL   BONDED   FREE
 ATOM  VALENCE VALENCE  VALENCE
 1 H    0.961   0.961   0.000
 2 H    0.961   0.961   0.000
 3 H    0.356   0.356   0.000
 4 H    0.356   0.356   0.000

H4_plus3
 ATOMIC SPIN DENSITY AT THE NUCLEUS (A.U.)
-----------------------------------------

1 H 1.0 0.1958699
2 H 1.0 0.1958699
3 H 1.0 0.0113049
4 H 1.0 0.0113049
 

Seitenanfang