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Применение неэмпирических и полуэмпирических методов в квантово-химических расчетах_ Учебное пособие

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TWO ELECTRON INTEGRAL EVALUATION REQUIRES 34529 WORDS

OF MEMORY.

 

 

II,JST,KST,LST = 1 1 1 1 NREC =

1 INTLOC =

1

II,JST,KST,LST = 2 1 1 1 NREC =

1 INTLOC =

2

II,JST,KST,LST = 3 1 1 1 NREC =

1 INTLOC =

7

II,JST,KST,LST = 4 1 1 1 NREC =

1 INTLOC =

22

II,JST,KST,LST = 5 1 1 1 NREC =

1 INTLOC =

56

II,JST,KST,LST = 6 1 1 1 NREC =

1 INTLOC = 121

II,JST,KST,LST = 7 1 1 1 NREC =

1 INTLOC = 220

II,JST,KST,LST = 8 1 1 1 NREC =

1 INTLOC = 496

II,JST,KST,LST = 9 1 1 1 NREC =

1 INTLOC = 1057

II,JST,KST,LST = 10 1 1 1 NREC =

1 INTLOC = 1577

II,JST,KST,LST = 11 1 1 1 NREC =

1 INTLOC = 2276

II,JST,KST,LST = 12 1 1 1 NREC =

1 INTLOC = 3234

II,JST,KST,LST = 13 1 1 1 NREC =

1 INTLOC = 4420

II,JST,KST,LST = 14 1 1 1 NREC =

2 INTLOC = 871

II,JST,KST,LST = 15 1 1 1 NREC =

2 INTLOC = 4932

II,JST,KST,LST = 16 1 1 1 NREC =

4 INTLOC = 783

TOTAL NUMBER OF NONZERO TWO-ELECTRON INTEGRALS = 23801

5 INTEGRAL RECORDS WERE STORED ON DISK FILE 8.

...... END OF TWO-ELECTRON INTEGRALS .....

 

CPU

TIME: STEP =

0.24 , TOTAL = 0.4 SECONDS ( 0.0 MIN)

WALL CLOCK TIME: STEP =

0.24 , TOTAL =

0.3 SECONDS ( 0.0

MIN)

 

 

 

 

CPU UTILIZATION: STEP =

102.06%, TOTAL =

119.55%

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

 

 

 

ROHF SCF CALCULATION

 

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

 

 

 

NUCLEAR ENERGY =

28.2227866261

 

MAXIT =300 NPUNCH= 2

MULT= 3

 

EXTRAP=T DAMP=F SHIFT=F RSTRCT=F DIIS=F SOSCF=T

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

 

 

SOSCF WILL OPTIMIZE

185 ORBITAL ROTATION ANGLES.

SOGTOL= 2.500E-01

 

 

 

MEMORY REQUIRED FOR UHF/ROHF STEP=

15759 WORDS.

101

ITER EX TOTAL ENERGY E CHANGE DENSITY CHANGE ORB.

GRAD

 

 

 

1 0

-149.204394325 -149.204394325

0.229640985

0.000000000

 

---------------START SECOND ORDER SCF---------------

 

2 1

-149.586679541

-0.382285216

0.033068634

0.026367813

3 2

-149.591369621

-0.004690080

0.010898037

0.008634363

4 3

-149.591721654

-0.000352032

0.002149382

0.002424630

5 4

-149.591741891

-0.000020238

0.000190477

0.000187032

6 5

-149.591741991

-0.000000099

0.000036952

0.000030553

7 6

-149.591741994

-0.000000003

0.000001269

0.000002134

8 7

-149.591741994

0.000000000

0.000000216

0.000000171

 

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

 

 

 

 

DENSITY CONVERGED

 

 

 

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

 

 

 

FINAL ENERGY IS

-149.5917419940 AFTER 8 ITERATIONS

 

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

 

 

 

 

SPIN SZ = 1.000

 

 

 

S-SQUARED =

2.000

 

 

 

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

 

 

 

EIGENVECTORS

 

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

 

 

 

 

 

 

 

 

 

 

 

1

2

3

 

4

5

 

 

 

 

 

-20.6996

-20.6980 -1.5818

-0.9140 -0.6552

 

 

 

A

A

A

 

A

A

 

 

1

O

1

S

0.388676

0.388756

-0.084851 0.092338 0.034534

2

O

1

S

0.338756

0.338836

-0.144588 0.163172 0.066439

3

O

1

S

0.038385

0.038835

 

0.039335 -0.061348 -0.050144

4

O

1

S -0.005060 -0.006949

0.412915 -0.445895 -0.106862

5

O

1

S

0.000636

0.002432

 

0.161404 -0.388037 -0.260414

6

O

1

X

0.002222

0.001876

0.149614

0.108065

0.354927

7

O

1

Y

0.000000

0.000000

0.000000

0.000000

0.000000

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O

1

Z

0.000000

0.000000

 

0.000000

0.000000

0.000000

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O

1

X -0.001024 -0.001505

0.106504

0.039801

0.271941

10 O

1 Y

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1 Z

0.000000

0.000000

0.000000

0.000000

0.000000

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1 X

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0.001250 -0.012633 0.013632 0.071299

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1 Y

0.000000

0.000000

0.000000

0.000000

0.000000

14 O

1 Z

0.000000

0.000000

0.000000

0.000000

0.000000

102

15

O

2

S

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-0.388756 -0.084851 -0.092338

0.034534

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O

2

S

0.338756

-0.338836 -0.144588 -0.163172

0.066439

17

O

2

S

0.038385

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0.061348

-0.050144

18

O

2

S -0.005060

0.006949

0.412915

0.445895

-0.106862

19

O

2

S 0.000636

-0.002432 0.161404

0.388037

-0.260414

20

O

2

X -0.002222

0.001876 -0.149614

0.108065 -0.354927

21

O

2

Y

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0.000000

0.000000

22

O

2

Z

0.000000

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0.000000

 

0.000000

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O

2

X

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0.039801 -0.271941

24

O

2

Y

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0.000000

0.000000

0.000000

25

O

2

Z

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0.000000

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O

2

X -0.000663 0.001250 0.012633

0.013632 -0.071299

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O

2

Y

0.000000

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0.000000

28

O

2

Z

0.000000

0.000000

0.000000

0.000000

 

0.000000

 

 

 

 

6

7

8

9

10

 

 

 

 

 

-0.4739

-0.4739 -0.2240

-0.2240 0.2954

 

 

 

 

A

A

A

A

A

 

 

1

O

1

S

0.000000

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0.046912

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O

1

S

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0.093424

3

O

1

S

0.000000

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0.000000

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-0.075564

4

O

1

S

0.000000

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-0.102740

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O

1

S

0.000000

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0.000000

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-1.508332

6

O

1

X

0.000000

0.000000 0.000000 0.000000 -0.210625

7

O

1

Y

0.315969

0.151056 -0.420488 0.065823 0.000000

8

O

1

Z -0.151056

0.315969 -0.065823 -0.420488

0.000000

9 O

1 X

0.000000

0.000000 0.000000 0.000000 -0.221591

10

O

1

Y

0.263510

0.125977

-0.341098

0.053395

0.000000

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O

1

Z -0.125977

0.263510

-0.053395 -0.341098

0.000000

12

O

1

X

0.000000

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0.000000 -1.176956

13

O

1

Y

0.101742

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-0.202911

0.031763

0.000000

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O

1

Z -0.048640

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-0.031763 -0.202911

0.000000

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O

2

S

0.000000

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-0.046912

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O

2

S

0.000000

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0.000000

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-0.093424

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O

2

S

0.000000

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0.000000

 

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18

O

2

S

0.000000

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0.000000

 

0.102740

19

O

2

S

0.000000

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0.000000

 

0.000000

 

1.508332

20

O

2

X

0.000000

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0.000000 -0.210625

21

O

2

Y

0.315969

0.151056

0.420488

 

-0.065823

0.000000

22

O

2

Z -0.151056

0.315969

0.065823

 

0.420488

 

0.000000

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O

2

X

0.000000

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0.000000

 

0.000000 -0.221591

24

O

2

Y

0.263510

0.125977

0.341098

 

-0.053395

0.000000

25

O

2

Z -0.125977

0.263510

0.053395

 

0.341098

 

0.000000

26

O

2

X

0.000000

0.000000

0.000000

 

0.000000 -1.176956

27

O

2

Y

0.101742

0.048640

0.202911

 

-0.031763

0.000000

103

28

O

2

Z -0.048640

0.101742

0.031763

0.202911

0.000000

 

 

 

 

11

12

 

13

 

14

15

 

 

 

 

 

 

 

0.4502

0.4502

0.5331

0.5596

0.5596

 

 

 

 

 

A

A

 

A

 

A

A

 

 

 

1

O

1

S

0.000000

 

0.000000 -0.003673

0.000000

0.000000

2

O

1

S

0.000000

 

0.000000 -0.007707

0.000000

0.000000

3

O

1

S

0.000000

 

0.000000

0.009001

0.000000

0.000000

4

O

1

S

0.000000

 

0.000000 -0.005996

0.000000

0.000000

5

O

1

S

0.000000

 

0.000000 -0.348153

0.000000

0.000000

6

O

1

X

0.000000

 

0.000000 -0.109091

0.000000

0.000000

7

O

1

Y -0.190272 -0.046870

0.000000

0.015953

0.175609

8

O

1

Z

0.046870 -0.190272

0.000000 -0.175609

0.015953

9

O

1

X

0.000000

 

0.000000 -0.399540

0.000000

0.000000

10

O

1

Y -0.453965 -0.111825

0.000000

 

0.041910

0.461329

11

O

1

Z

0.111825 -0.453965

0.000000 -0.461329

0.041910

12

O

1

X

0.000000

0.000000

1.166220

0.000000

0.000000

13

O

1

Y

0.719151

0.177148

0.000000 -0.133805 -1.472878

14

O

1

Z -0.177148

0.719151

0.000000

1.472878 -0.133805

15

O

2

S

0.000000

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O

2

S

0.000000

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O

2

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O

2

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2

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0.000000

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0.000000 -0.015953 -0.175609

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O

2

Y -0.453965 -0.111825

0.000000 -0.041910 -0.461329

25

O

2

Z

0.111825 -0.453965

0.000000

0.461329 -0.041910

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O

2

X

0.000000

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0.000000

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27

O

2

Y

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0.177148

0.000000

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1.472878

28

O

2

Z -0.177148

0.719151

0.000000 -1.472878

0.133805

 

 

 

 

16

17

 

18

 

19

20

 

 

 

 

 

 

 

0.5811

0.8146

1.3726

2.4009

2.4009

 

 

 

 

 

A

A

 

A

 

A

A

 

 

 

1

O

1

S

0.021368

-0.070874 -0.071682

0.000000

0.000000

2

O

1

S

0.027806

-0.080397 -0.084597

0.000000

0.000000

3

O

1

S

0.047004

-0.222470 -0.236921

0.000000

0.000000

4

O

1

S -0.302849

 

1.444674

1.853844

0.000000

0.000000

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O

1

S

0.415438

-1.123410 -4.157482

0.000000

0.000000

6

O

1

X -0.409808 -0.059074

0.048051

0.000000

0.000000

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O

1

Y

0.000000

 

0.000000

0.000000

0.521839 -0.679715

8

O

1

Z

0.000000

 

0.000000

0.000000 -0.679715 -0.521839

104

9 O

1 X -0.773360 -0.025974 -0.523429

0.000000

 

0.000000

10

O

1

Y

0.000000

0.000000

0.000000

-0.654719

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11

O

1

Z

0.000000

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0.654719

12

O

1

X 0.828323 0.001717 -1.257973

0.000000

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O

1

Y

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O

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O

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2

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0.236921

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O

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4.157482

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O

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O

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O

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O

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O

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O

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O

2

Z

0.000000

0.000000

0.000000 -0.359393 -0.275917

 

 

 

 

21

22

23

 

24

25

 

 

 

 

 

 

2.4948

2.6000

2.6000

2.8956

5.5131

 

 

 

 

 

A

A

A

 

A

A

 

 

 

1

O

1

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0.000000

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O

1

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O

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0.000000

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O

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0.425111

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O

1

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0.294686

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0.000000

 

0.247496

0.634113

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O 1 X -0.816386

0.000000

0.000000 -0.922392

0.043804

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O

1

Y

0.000000

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0.000000

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O

1

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0.000000 -0.834940

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O

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O

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O

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O

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O

2

Z

0.000000 0.836527 -0.135803 0.000000 0.000000

 

 

 

 

26

27

28

 

 

 

 

 

 

 

 

6.2578

46.2706

47.0154

 

 

 

 

 

 

A

A

A

 

 

 

 

1

O

1

S -0.126155 -1.277547 -1.287513

 

 

2

O

1

S -0.622581

1.972344

2.023132

 

 

3

O

1

S

2.481469 -1.556184 -1.773970

 

 

4

O

1

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0.921502

1.337812

 

 

5

O

1

S

2.260950 -0.249009 -0.897349

 

 

6

O

1

X -0.033208 -0.013633

0.007718

 

 

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O

1

Y

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O

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O

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11

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12

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0.000000

0.000000

0.000000

 

 

14

O

1

Z

0.000000

0.000000

0.000000

 

 

15

O

2

S

0.126155 -1.277547

1.287513

 

 

16

O

2

S

0.622581

1.972344 -2.023132

 

 

17

O

2

S -2.481469 -1.556184

1.773970

 

 

18

O

2

S

2.941325

0.921502 -1.337812

 

 

19

O

2

S -2.260950 -0.249009

0.897349

 

 

20

O

2

X -0.033208 0.013633 0.007718

 

 

21

O

2

Y

0.000000

0.000000

0.000000

 

 

22

O

2

Z

0.000000

0.000000

0.000000

 

 

23

O

2

X -0.094516 0.012738 0.047240

 

 

24

O

2

Y

0.000000

0.000000

0.000000

 

 

25

O

2

Z

0.000000

0.000000

0.000000

 

 

26

O

2

X

0.642850 -0.000558 -0.258383

 

 

27

O

2

Y

0.000000

0.000000

0.000000

 

 

28 O 2 Z 0.000000 0.000000 0.000000

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

 

 

CPU

TIME: STEP = 0.13 , TOTAL =

0.5 SECONDS ( 0.0 MIN)

WALL CLOCK TIME: STEP =

0.14 , TOTAL =

0.4 SECONDS ( 0.0

MIN)

 

 

 

 

CPU UTILIZATION: STEP =

92.44%, TOTAL =

110.75%

106

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

properties for the ROHF density

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

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

ENERGY COMPONENTS

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

WAVEFUNCTION NORMALIZATION =

1.0000000000

ONE ELECTRON ENERGY =

-261.6804500157

TWO ELECTRON ENERGY =

83.8659213955

NUCLEAR REPULSION ENERGY =

28.2227866261

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

 

 

 

 

TOTAL ENERGY = -149.5917419940

 

ELECTRON-ELECTRON POTENTIAL ENERGY =

83.8659213955

NUCLEUS-ELECTRON POTENTIAL ENERGY =

-411.2956862420

NUCLEUS-NUCLEUS POTENTIAL ENERGY =

28.2227866261

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

 

 

 

 

TOTAL POTENTIAL ENERGY =

-299.2069782203

TOTAL KINETIC ENERGY =

149.6152362263

VIRIAL RATIO (V/T) =

1.9998429690

 

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

 

 

 

 

ENERGY ANALYSIS:

 

 

 

 

 

FOCK ENERGY=

-93.9486085555

 

 

BARE H ENERGY=

-261.6804500157

 

 

ELECTRONIC ENERGY = -177.8145292856

 

KINETIC ENERGY=

149.6152362263

 

 

N-N REPULSION=

28.2227866261

 

 

TOTAL ENERGY=

-149.5917426594

 

 

SIGMA PART(1+2)=

-146.9475892461

 

 

(K,V1,2)= 134.6721495781

-338.5780734728 56.9583346486

PI PART(1+2)= -30.8669400394

(K,V1,2)= 14.9430866482 -72.7176127691 26.9075860815 SIGMA SKELETON, ERROR= -118.7248026200 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

107

 

1

2

3

4

5

 

 

2.000000

 

2.000000

2.000000

2.000000

2.000000

1

1.000000

 

1.000000

1.000000

1.000000

1.000000

2

1.000000

 

1.000000

1.000000

1.000000

1.000000

 

6

7

8

9

 

 

 

2.000000

 

2.000000

1.000000

1.000000

 

1

1.000000

 

1.000000

0.500000

0.500000

 

2

1.000000

 

1.000000

0.500000

0.500000

 

ATOMIC SPIN POPULATION (ALPHA MINUS BETA)

ATOM

 

MULL.POP.

LOW.POP.

1 O

 

1.000000

1.000000

2 O

 

1.000000

1.000000

----- POPULATIONS IN EACH AO -----

 

 

 

MULLIKEN

LOWDIN

1

O

1

S

1.06717

1.04861

2

O

1

S

0.86499

0.84148

3

O

1

S

0.16300

0.35400

4

O

1

S

1.09954

0.80420

5

O

1

S

0.74485

0.66561

6

O

1

X

0.57028

0.52411

7

O

1

Y

0.68791

0.65353

8

O

1

Z

0.68791

0.65353

9

O

1

X

0.46278

0.55777

10

O

1

Y

0.62026

0.61119

11

O

1

Z

0.62026

0.61119

12

O

1

X

0.02740

0.20419

13

O

1

Y

0.19183

0.23527

14

O

1

Z

0.19183

0.23527

15

O

2

S

1.06717

1.04861

16

O

2

S

0.86499

0.84148

17

O

2

S

0.16300

0.35400

18

O

2

S

1.09954

0.80420

19

O

2

S

0.74485

0.66561

20

O

2

X

0.57028

0.52411

21

O

2

Y

0.68791

0.65353

22

O

2

Z

0.68791

0.65353

23

O

2

X

0.46278

0.55777

108

24

O

2

Y

0.62026

0.61119

25

O

2

Z

0.62026

0.61119

26

O

2

X

0.02740

0.20419

27

O

2

Y

0.19183

0.23527

28

O

2

Z

0.19183

0.23527

----- MULLIKEN ATOMIC OVERLAP POPULATIONS -----

(OFF-DIAGONAL ELEMENTS NEED TO BE MULTIPLIED BY 2) 1 2

17.9711835

20.0288165 7.9711835

 

TOTAL MULLIKEN AND LOWDIN ATOMIC POPULATIONS

 

ATOM

MULL.POP.

CHARGE

LOW.POP. CHARGE

1

O

 

8.000000

0.000000

8.000000

0.000000

2

O

 

8.000000

0.000000

8.000000

0.000000

 

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

 

 

 

 

 

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

1.200

1.732

 

 

 

 

 

 

 

 

TOTAL

BONDED

FREE

 

 

ATOM

 

VALENCE

VALENCE

VALENCE

1

O

 

2.232

1.732

0.500

 

 

2

O

 

2.232

1.732

0.500

 

 

 

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

 

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

 

 

 

1

O

 

8.0

0.0000000

 

 

 

 

2

O

 

8.0

0.0000000

 

 

 

 

 

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

 

 

 

 

 

 

ELECTROSTATIC MOMENTS

 

 

 

 

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

 

 

 

 

 

POINT

1

 

X

Y

Z (BOHR)

CHARGE

109

 

0.000000 0.000000

0.000000

0.00 (A.U.)

 

DX

 

DY

DZ

/D/ (DEBYE)

 

 

 

0.000000

0.000000

0.000000

0.000000

 

 

 

...... END OF PROPERTY EVALUATION ......

 

 

 

CPU

TIME: STEP =

0.02 , TOTAL =

0.5 SECONDS (

0.0 MIN)

WALL CLOCK TIME: STEP =

 

0.02 , TOTAL =

0.5 SECONDS ( 0.0

MIN)

 

 

 

 

 

 

 

 

 

CPU UTILIZATION: STEP =

87.43%, TOTAL =

109.58%

 

......END OF NBO ANALYSIS......

 

 

 

 

CPU

TIME: STEP =

0.00 , TOTAL =

0.5 SECONDS (

0.0 MIN)

WALL CLOCK TIME: STEP =

 

0.00 , TOTAL =

0.5 SECONDS ( 0.0

MIN)

 

 

 

 

 

 

 

 

 

CPU UTILIZATION: STEP =

0.00%, TOTAL =

109.05%

 

100000 WORDS OF

 

DYNAMIC MEMORY USED

 

EXECUTION OF GAMESS TERMINATED NORMALLY 15:14:51 LT 24- JAN-2004

Примечания: Если результаты расчетов заканчиваются строкой: EXECUTION OF GAMESS TERMINATED NORMALLY,

то расчет проведен без видимых срывов, хотя не обязательно корректно. Для быстрой первой оценки достоверности необходимо проверить правильность задания геометрии молекулы, значение вириала (≈ 2), реальность значений энергий МО, зарядов и спиновой плотности на атомах.

5.4.1.1 Пояснения к выдаче расчетов характеристик О2 в рамках расчетной схемы ROHF и анализ результатов расчетов

1.Начало выдачи сопровождается атрибутами пакета программ GAMESS, в которых указаны год создания версии, фамилии авторов, создавших те или иные расчетные программы, и адреса, по которым можно связаться с разработчиками.

2.Затем следуют исходные данные input, в котором приводятся описание заданий, указываются методы расчета и параметры молекулярной системы. См. задание исходных данных input.

3.На последующих страницах приводятся:

-Параметры используемого базиса

BASIS OPTIONS

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

GBASIS=TZV IGAUSS= 0 POLAR=NONE NDFUNC= 0 DIFFSP= F

NPFUNC= 0 DIFFS= F

110

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