1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
|
SUBROUTINE ROTATE (NI,NJ,XI,XJ,W,KR,E1B,E2A,ENUC,CUTOFF)
IMPLICIT DOUBLE PRECISION (A-H,O-Z)
C***********************************************************************
C
C..IMPROVED SCALAR VERSION
C..WRITTEN BY ERNEST R. DAVIDSON, INDIANA UNIVERSITY.
C
C
C ROTATE CALCULATES THE TWO-PARTICLE INTERACTIONS.
C
C ON INPUT NI = ATOMIC NUMBER OF FIRST ATOM.
C NJ = ATOMIC NUMBER OF SECOND ATOM.
C XI = COORDINATE OF FIRST ATOM.
C XJ = COORDINATE OF SECOND ATOM.
C
C ON OUTPUT W = ARRAY OF TWO-ELECTRON REPULSION INTEGRALS.
C E1B,E2A= ARRAY OF ELECTRON-NUCLEAR ATTRACTION INTEGRALS,
C E1B = ELECTRON ON ATOM NI ATTRACTING NUCLEUS OF NJ.
C ENUC = NUCLEAR-NUCLEAR REPULSION TERM.
C
C
C *** THIS ROUTINE COMPUTES THE REPULSION AND NUCLEAR ATTRACTION
C INTEGRALS OVER MOLECULAR-FRAME COORDINATES. THE INTEGRALS OVER
C LOCAL FRAME COORDINATES ARE EVALUATED BY SUBROUTINE REPP AND
C STORED AS FOLLOWS (WHERE P-SIGMA = O, AND P-PI = P AND P* )
C IN RI
C (SS/SS)=1, (SO/SS)=2, (OO/SS)=3, (PP/SS)=4, (SS/OS)=5,
C (SO/SO)=6, (SP/SP)=7, (OO/SO)=8, (PP/SO)=9, (PO/SP)=10,
C (SS/OO)=11, (SS/PP)=12, (SO/OO)=13, (SO/PP)=14, (SP/OP)=15,
C (OO/OO)=16, (PP/OO)=17, (OO/PP)=18, (PP/PP)=19, (PO/PO)=20,
C (PP/P*P*)=21, (P*P/P*P)=22.
C
C***********************************************************************
COMMON /NUMCAL/ NUMCAL
SAVE ANALYT, ICALCN
COMMON /MOLMEC/ HTYPE(4),NHCO(4,20),NNHCO,ITYPE
CHARACTER*241 KEYWRD
LOGICAL SI,SJ, ANALYT
COMMON /NATORB/ NATORB(107)
COMMON /TWOEL3/ F03(107)
COMMON /ALPHA3/ ALP3(153)
COMMON /ALPHA / ALP(107)
COMMON /CORE / TORE(107)
COMMON /IDEAS / FN1(107,10),FN2(107,10),FN3(107,10)
COMMON /ALPTM / ALPTM(30), EMUDTM(30)
COMMON /ROTDUM/ CSS1,CSP1,CPPS1,CPPP1,CSS2,CSP2,CPPS2,CPPP2
COMMON /ROTDU2/ X(3),Y(3),Z(3)
COMMON /KEYWRD/ KEYWRD
DIMENSION XI(3),XJ(3),W(100),E1B(10),E2A(10)
DIMENSION RI(22),CCORE(4,2), BORON1(3,4), BORON2(3,4), BORON3(3,4)
EQUIVALENCE (CCORE(1,1),CSS1)
DATA ICALCN/0/
DATA BORON1/ 0.182613D0, 0.118587D0, -0.073280D0,
1 0.412253D0, -0.149917D0, 0.000000D0,
2 0.261751D0, 0.050275D0, 0.000000D0,
3 0.359244D0, 0.074729D0, 0.000000D0/
DATA BORON2/ 6.D0, 6.D0, 5.D0,
1 10.D0, 6.D0, 0.D0,
2 8.D0, 5.D0, 0.D0,
3 9.D0, 9.D0, 0.D0/
DATA BORON3/ 0.727592D0, 1.466639D0, 1.570975D0,
1 0.832586D0, 1.186220D0, 0.000000D0,
2 1.063995D0, 1.936492D0, 0.000000D0,
3 0.819351D0, 1.574414D0, 0.000000D0/
C
IF(ICALCN.NE.NUMCAL)THEN
ICALCN=NUMCAL
ANALYT=(INDEX(KEYWRD,'ANALYT') .NE. 0)
IF(ANALYT)THEN
OPEN(UNIT=2,STATUS='SCRATCH',FORM='UNFORMATTED')
REWIND 2
ENDIF
ENDIF
C
X(1)=XI(1)-XJ(1)
X(2)=XI(2)-XJ(2)
X(3)=XI(3)-XJ(3)
RIJ=X(1)*X(1)+X(2)*X(2)+X(3)*X(3)
IF (RIJ.LT.0.00002D0) THEN
C
C SMALL RIJ CASE
C
DO 10 I=1,10
E1B(I)=0.D0
E2A(I)=0.D0
10 CONTINUE
W(KR)=0.D0
ENUC=0.D0
C
ELSE IF (ITYPE.EQ.4) THEN
C
C MINDO CASE
C
SUM=14.399D0/SQRT(RIJ+(7.1995D0/F03(NI)+7.1995D0/F03(NJ))**2)
W(1)=SUM
KR=KR+1
DO 20 L=1,10
E1B(L)=0.D0
E2A(L)=0.D0
20 CONTINUE
E1B(1) = -SUM*TORE(NJ)
E1B(3) = E1B(1)
E1B(6) = E1B(1)
E1B(10)= E1B(1)
E2A(1) = -SUM*TORE(NI)
E2A(3) = E2A(1)
E2A(6) = E2A(1)
E2A(10)= E2A(1)
II = MAX(NI,NJ)
NBOND = (II*(II-1))/2+NI+NJ-II
RIJ = SQRT(RIJ)
IF(NBOND.LT.154) THEN
IF(NBOND.EQ.22 .OR. NBOND .EQ. 29) THEN
C NBOND = 22 IS C-H CASE
C NBOND = 29 IS N-H CASE
SCALE=ALP3(NBOND)*EXP(-RIJ)
ELSE
C NBOND < 154 IS NI < 18 AND NJ < 18 CASE
SCALE=EXP(-ALP3(NBOND)*RIJ)
ENDIF
ELSE
C NBOND > 154 INVOLVES NI OR NJ > 18
SCALE = 0
IF(NATORB(NI).EQ.0) SCALE= EXP(-ALP(NI)*RIJ)
IF(NATORB(NJ).EQ.0) SCALE=SCALE+EXP(-ALP(NI)*RIJ)
ENDIF
IF (ABS(TORE(NI)).GT.20.D0 .AND. ABS(TORE(NJ)).GT.20.D0) THEN
ENUC=0.D0
ELSE IF (RIJ.LT.1.D0 .AND. NATORB(NI)*NATORB(NJ).EQ.0) THEN
ENUC=0.D0
ELSE
ENUC = TORE(NI)*TORE(NJ)*SUM
1 + ABS(TORE(NI)*TORE(NJ)*(14.399D0/RIJ-SUM)*SCALE)
ENDIF
C
C MNDO AND AM1 CASES
C
C *** THE REPULSION INTEGRALS OVER MOLECULAR FRAME (W) ARE STORED IN THE
C ORDER IN WHICH THEY WILL LATER BE USED. IE. (I,J/K,L) WHERE
C J.LE.I AND L.LE.K AND L VARIES MOST RAPIDLY AND I LEAST
C RAPIDLY. (ANTI-NORMAL COMPUTER STORAGE)
C
ELSE
C
RIJX = SQRT(RIJ)
RIJ = MIN(RIJX,CUTOFF)
C
C *** COMPUTE INTEGRALS IN DIATOMIC FRAME
C
CALL REPP(NI,NJ,RIJ,RI,CCORE)
IF(ANALYT)WRITE(2)(RI(I),I=1,22)
C
GAM = RI(1)
A=1.D0/RIJX
X(1) = X(1)*A
X(2) = X(2)*A
X(3) = X(3)*A
IF (ABS(X(3)).GT.0.99999999D0) THEN
X(3) = SIGN(1.D0,X(3))
Y(1) = 0.D0
Y(2) = 1.D0
Y(3) = 0.D0
Z(1) = 1.D0
Z(2) = 0.D0
Z(3) = 0.D0
ELSE
Z(3)=SQRT(1.D0-X(3)*X(3))
A=1.D0/Z(3)
Y(1)=-A*X(2)*SIGN(1.D0,X(1))
Y(2)=ABS(A*X(1))
Y(3)=0.D0
Z(1)=-A*X(1)*X(3)
Z(2)=-A*X(2)*X(3)
ENDIF
SI = (NATORB(NI).GT.1)
SJ = (NATORB(NJ).GT.1)
IF ( SI .OR. SJ) THEN
XX11 = X(1)*X(1)
XX21 = X(2)*X(1)
XX22 = X(2)*X(2)
XX31 = X(3)*X(1)
XX32 = X(3)*X(2)
XX33 = X(3)*X(3)
YY11 = Y(1)*Y(1)
YY21 = Y(2)*Y(1)
YY22 = Y(2)*Y(2)
ZZ11 = Z(1)*Z(1)
ZZ21 = Z(2)*Z(1)
ZZ22 = Z(2)*Z(2)
ZZ31 = Z(3)*Z(1)
ZZ32 = Z(3)*Z(2)
ZZ33 = Z(3)*Z(3)
YYZZ11 = YY11+ZZ11
YYZZ21 = YY21+ZZ21
YYZZ22 = YY22+ZZ22
XY11 = 2.D0*X(1)*Y(1)
XY21 = X(1)*Y(2)+X(2)*Y(1)
XY22 = 2.D0*X(2)*Y(2)
XY31 = X(3)*Y(1)
XY32 = X(3)*Y(2)
XZ11 = 2.D0*X(1)*Z(1)
XZ21 = X(1)*Z(2)+X(2)*Z(1)
XZ22 = 2.D0*X(2)*Z(2)
XZ31 = X(1)*Z(3)+X(3)*Z(1)
XZ32 = X(2)*Z(3)+X(3)*Z(2)
XZ33 = 2.D0*X(3)*Z(3)
YZ11 = 2.D0*Y(1)*Z(1)
YZ21 = Y(1)*Z(2)+Y(2)*Z(1)
YZ22 = 2.D0*Y(2)*Z(2)
YZ31 = Y(1)*Z(3)
YZ32 = Y(2)*Z(3)
ENDIF
C
C (S S/S S)
W(1)=RI(1)
KI = 1
IF (SJ) THEN
C (S S/PX S)
W(2)=RI(5)*X(1)
C (S S/PX PX)
W(3)=RI(11)*XX11+RI(12)*YYZZ11
C (S S/PY S)
W(4)=RI(5)*X(2)
C (S S/PY PX)
W(5)=RI(11)*XX21+RI(12)*YYZZ21
C (S S/PY PY)
W(6)=RI(11)*XX22+RI(12)*YYZZ22
C (S S/PZ S)
W(7)=RI(5)*X(3)
C (S S/PZ PX)
W(8)=RI(11)*XX31+RI(12)*ZZ31
C (S S/PZ PY)
W(9)=RI(11)*XX32+RI(12)*ZZ32
C (S S/PZ PZ)
W(10)=RI(11)*XX33+RI(12)*ZZ33
KI = 10
ENDIF
C
IF (SI) THEN
C (PX S/S S)
W(11)=RI(2)*X(1)
IF (SJ) THEN
C (PX S/PX S)
W(12)=RI(6)*XX11+RI(7)*YYZZ11
C (PX S/PX PX)
W(13)=X(1)*(RI(13)*XX11+RI(14)*YYZZ11)
1 +RI(15)*(Y(1)*XY11+Z(1)*XZ11)
C (PX S/PY S)
W(14)=RI(6)*XX21+RI(7)*YYZZ21
C (PX S/PY PX)
W(15)=X(1)*(RI(13)*XX21+RI(14)*YYZZ21)
1 +RI(15)*(Y(1)*XY21+Z(1)*XZ21)
C (PX S/PY PY)
W(16)=X(1)*(RI(13)*XX22+RI(14)*YYZZ22)
1 +RI(15)*(Y(1)*XY22+Z(1)*XZ22)
C (PX S/PZ S)
W(17)=RI(6)*XX31+RI(7)*ZZ31
C (PX S/PZ PX)
W(18)=X(1)*(RI(13)*XX31+RI(14)*ZZ31)
1 +RI(15)*(Y(1)*XY31+Z(1)*XZ31)
C (PX S/PZ PY)
W(19)=X(1)*(RI(13)*XX32+RI(14)*ZZ32)
1 +RI(15)*(Y(1)*XY32+Z(1)*XZ32)
C (PX S/PZ PZ)
W(20)=X(1)*(RI(13)*XX33+RI(14)*ZZ33)
1 +RI(15)*( Z(1)*XZ33)
C (PX PX/S S)
W(21)=RI(3)*XX11+RI(4)*YYZZ11
C (PX PX/PX S)
W(22)=X(1)*(RI(8)*XX11+RI(9)*YYZZ11)
1 +RI(10)*(Y(1)*XY11+Z(1)*XZ11)
C (PX PX/PX PX)
W(23) =
1 (RI(16)*XX11+RI(17)*YYZZ11)*XX11+RI(18)*XX11*YYZZ11
2 +RI(19)*(YY11*YY11+ZZ11*ZZ11)
3 +RI(20)*(XY11*XY11+XZ11*XZ11)
4 +RI(21)*(YY11*ZZ11+ZZ11*YY11)
5 +RI(22)*YZ11*YZ11
C (PX PX/PY S)
W(24)=X(2)*(RI(8)*XX11+RI(9)*YYZZ11)
1 +RI(10)*(Y(2)*XY11+Z(2)*XZ11)
C (PX PX/PY PX)
W(25) =
1 (RI(16)*XX11+RI(17)*YYZZ11)*XX21+RI(18)*XX11*YYZZ21
2 +RI(19)*(YY11*YY21+ZZ11*ZZ21)
3 +RI(20)*(XY11*XY21+XZ11*XZ21)
4 +RI(21)*(YY11*ZZ21+ZZ11*YY21)
5 +RI(22)*YZ11*YZ21
C (PX PX/PY PY)
W(26) =
1 (RI(16)*XX11+RI(17)*YYZZ11)*XX22+RI(18)*XX11*YYZZ22
2 +RI(19)*(YY11*YY22+ZZ11*ZZ22)
3 +RI(20)*(XY11*XY22+XZ11*XZ22)
4 +RI(21)*(YY11*ZZ22+ZZ11*YY22)
5 +RI(22)*YZ11*YZ22
C (PX PX/PZ S)
W(27)=X(3)*(RI(8)*XX11+RI(9)*YYZZ11)
1 +RI(10)*( +Z(3)*XZ11)
C (PX PX/PZ PX)
W(28) =
1 (RI(16)*XX11+RI(17)*YYZZ11)*XX31
2 +(RI(18)*XX11+RI(19)*ZZ11+RI(21)*YY11)*ZZ31
3 +RI(20)*(XY11*XY31+XZ11*XZ31)
4 +RI(22)*YZ11*YZ31
C (PX PX/PZ PY)
W(29) =
1 (RI(16)*XX11+RI(17)*YYZZ11)*XX32
2 +(RI(18)*XX11+RI(19)*ZZ11+RI(21)*YY11)*ZZ32
3 +RI(20)*(XY11*XY32+XZ11*XZ32)
4 +RI(22)*YZ11*YZ32
C (PX PX/PZ PZ)
W(30) =
1 (RI(16)*XX11+RI(17)*YYZZ11)*XX33
2 +(RI(18)*XX11+RI(19)*ZZ11+RI(21)*YY11)*ZZ33
3 +RI(20)*XZ11*XZ33
C (PY S/S S)
W(31)=RI(2)*X(2)
C (PY S/PX S)
W(32)=RI(6)*XX21+RI(7)*YYZZ21
C (PY S/PX PX)
W(33)=X(2)*(RI(13)*XX11+RI(14)*YYZZ11)
1 +RI(15)*(Y(2)*XY11+Z(2)*XZ11)
C (PY S/PY S)
W(34)=RI(6)*XX22+RI(7)*YYZZ22
C (PY S/PY PX)
W(35)=X(2)*(RI(13)*XX21+RI(14)*YYZZ21)
1 +RI(15)*(Y(2)*XY21+Z(2)*XZ21)
C (PY S/PY PY)
W(36)=X(2)*(RI(13)*XX22+RI(14)*YYZZ22)
1 +RI(15)*(Y(2)*XY22+Z(2)*XZ22)
C (PY S/PZ S)
W(37)=RI(6)*XX32+RI(7)*ZZ32
C (PY S/PZ PX)
W(38)=X(2)*(RI(13)*XX31+RI(14)*ZZ31)
1 +RI(15)*(Y(2)*XY31+Z(2)*XZ31)
C (PY S/PZ PY)
W(39)=X(2)*(RI(13)*XX32+RI(14)*ZZ32)
1 +RI(15)*(Y(2)*XY32+Z(2)*XZ32)
C (PY S/PZ PZ)
W(40)=X(2)*(RI(13)*XX33+RI(14)*ZZ33)
1 +RI(15)*( +Z(2)*XZ33)
C (PY PX/S S)
W(41)=RI(3)*XX21+RI(4)*YYZZ21
C (PY PX/PX S)
W(42)=X(1)*(RI(8)*XX21+RI(9)*YYZZ21)
1 +RI(10)*(Y(1)*XY21+Z(1)*XZ21)
C (PY PX/PX PX)
W(43) =
1 (RI(16)*XX21+RI(17)*YYZZ21)*XX11+RI(18)*XX21*YYZZ11
2 +RI(19)*(YY21*YY11+ZZ21*ZZ11)
3 +RI(20)*(XY21*XY11+XZ21*XZ11)
4 +RI(21)*(YY21*ZZ11+ZZ21*YY11)
5 +RI(22)*YZ21*YZ11
C (PY PX/PY S)
W(44)=X(2)*(RI(8)*XX21+RI(9)*YYZZ21)
1 +RI(10)*(Y(2)*XY21+Z(2)*XZ21)
C (PY PX/PY PX)
W(45) =
1 (RI(16)*XX21+RI(17)*YYZZ21)*XX21+RI(18)*XX21*YYZZ21
2 +RI(19)*(YY21*YY21+ZZ21*ZZ21)
3 +RI(20)*(XY21*XY21+XZ21*XZ21)
4 +RI(21)*(YY21*ZZ21+ZZ21*YY21)
5 +RI(22)*YZ21*YZ21
C (PY PX/PY PY)
W(46) =
1 (RI(16)*XX21+RI(17)*YYZZ21)*XX22+RI(18)*XX21*YYZZ22
2 +RI(19)*(YY21*YY22+ZZ21*ZZ22)
3 +RI(20)*(XY21*XY22+XZ21*XZ22)
4 +RI(21)*(YY21*ZZ22+ZZ21*YY22)
5 +RI(22)*YZ21*YZ22
C (PY PX/PZ S)
W(47)=X(3)*(RI(8)*XX21+RI(9)*YYZZ21)
1 +RI(10)*( +Z(3)*XZ21)
C (PY PX/PZ PX)
W(48) =
1 (RI(16)*XX21+RI(17)*YYZZ21)*XX31
2 +(RI(18)*XX21+RI(19)*ZZ21+RI(21)*YY21)*ZZ31
3 +RI(20)*(XY21*XY31+XZ21*XZ31)
4 +RI(22)*YZ21*YZ31
C (PY PX/PZ PY)
W(49) =
1 (RI(16)*XX21+RI(17)*YYZZ21)*XX32
2 +(RI(18)*XX21+RI(19)*ZZ21+RI(21)*YY21)*ZZ32
3 +RI(20)*(XY21*XY32+XZ21*XZ32)
4 +RI(22)*YZ21*YZ32
C (PY PX/PZ PZ)
W(50) =
1 (RI(16)*XX21+RI(17)*YYZZ21)*XX33
2 +(RI(18)*XX21+RI(19)*ZZ21+RI(21)*YY21)*ZZ33
3 +RI(20)*XZ21*XZ33
C (PY PY/S S)
W(51)=RI(3)*XX22+RI(4)*YYZZ22
C (PY PY/PX S)
W(52)=X(1)*(RI(8)*XX22+RI(9)*YYZZ22)
1 +RI(10)*(Y(1)*XY22+Z(1)*XZ22)
C (PY PY/PX PX)
W(53) =
1 (RI(16)*XX22+RI(17)*YYZZ22)*XX11+RI(18)*XX22*YYZZ11
2 +RI(19)*(YY22*YY11+ZZ22*ZZ11)
3 +RI(20)*(XY22*XY11+XZ22*XZ11)
4 +RI(21)*(YY22*ZZ11+ZZ22*YY11)
5 +RI(22)*YZ22*YZ11
C (PY PY/PY S)
W(54)=X(2)*(RI(8)*XX22+RI(9)*YYZZ22)
1 +RI(10)*(Y(2)*XY22+Z(2)*XZ22)
C (PY PY/PY PX)
W(55) =
1 (RI(16)*XX22+RI(17)*YYZZ22)*XX21+RI(18)*XX22*YYZZ21
2 +RI(19)*(YY22*YY21+ZZ22*ZZ21)
3 +RI(20)*(XY22*XY21+XZ22*XZ21)
4 +RI(21)*(YY22*ZZ21+ZZ22*YY21)
5 +RI(22)*YZ22*YZ21
C (PY PY/PY PY)
W(56) =
1 (RI(16)*XX22+RI(17)*YYZZ22)*XX22+RI(18)*XX22*YYZZ22
2 +RI(19)*(YY22*YY22+ZZ22*ZZ22)
3 +RI(20)*(XY22*XY22+XZ22*XZ22)
4 +RI(21)*(YY22*ZZ22+ZZ22*YY22)
5 +RI(22)*YZ22*YZ22
C (PY PY/PZ S)
W(57)=X(3)*(RI(8)*XX22+RI(9)*YYZZ22)
1 +RI(10)*( +Z(3)*XZ22)
C (PY PY/PZ PX)
W(58) =
1 (RI(16)*XX22+RI(17)*YYZZ22)*XX31
2 +(RI(18)*XX22+RI(19)*ZZ22+RI(21)*YY22)*ZZ31
3 +RI(20)*(XY22*XY31+XZ22*XZ31)
4 +RI(22)*YZ22*YZ31
C (PY PY/PZ PY)
W(59) =
1 (RI(16)*XX22+RI(17)*YYZZ22)*XX32
2 +(RI(18)*XX22+RI(19)*ZZ22+RI(21)*YY22)*ZZ32
3 +RI(20)*(XY22*XY32+XZ22*XZ32)
4 +RI(22)*YZ22*YZ32
C (PY PY/PZ PZ)
W(60) =
1 (RI(16)*XX22+RI(17)*YYZZ22)*XX33
2 +(RI(18)*XX22+RI(19)*ZZ22+RI(21)*YY22)*ZZ33
3 +RI(20)*XZ22*XZ33
C (PZ S/SS)
W(61)=RI(2)*X(3)
C (PZ S/PX S)
W(62)=RI(6)*XX31+RI(7)*ZZ31
C (PZ S/PX PX)
W(63)=X(3)*(RI(13)*XX11+RI(14)*YYZZ11)
1 +RI(15)*( +Z(3)*XZ11)
C (PZ S/PY S)
W(64)=RI(6)*XX32+RI(7)*ZZ32
C (PZ S/PY PX)
W(65)=X(3)*(RI(13)*XX21+RI(14)*YYZZ21)
1 +RI(15)*( +Z(3)*XZ21)
C (PZ S/PY PY)
W(66)=X(3)*(RI(13)*XX22+RI(14)*YYZZ22)
1 +RI(15)*( +Z(3)*XZ22)
C (PZ S/PZ S)
W(67)=RI(6)*XX33+RI(7)*ZZ33
C (PZ S/PZ PX)
W(68)=X(3)*(RI(13)*XX31+RI(14)*ZZ31)
1 +RI(15)*( +Z(3)*XZ31)
C (PZ S/PZ PY)
W(69)=X(3)*(RI(13)*XX32+RI(14)*ZZ32)
1 +RI(15)*( +Z(3)*XZ32)
C (PZ S/PZ PZ)
W(70)=X(3)*(RI(13)*XX33+RI(14)*ZZ33)
1 +RI(15)*( +Z(3)*XZ33)
C (PZ PX/S S)
W(71)=RI(3)*XX31+RI(4)*ZZ31
C (PZ PX/PX S)
W(72)=X(1)*(RI(8)*XX31+RI(9)*ZZ31)
1 +RI(10)*(Y(1)*XY31+Z(1)*XZ31)
C (PZ PX/PX PX)
W(73) =
1 (RI(16)*XX31+RI(17)*ZZ31)*XX11+RI(18)*XX31*YYZZ11
2 +RI(19)*ZZ31*ZZ11
3 +RI(20)*(XY31*XY11+XZ31*XZ11)
4 +RI(21)*ZZ31*YY11
5 +RI(22)*YZ31*YZ11
C (PZ PX/PY S)
W(74)=X(2)*(RI(8)*XX31+RI(9)*ZZ31)
1 +RI(10)*(Y(2)*XY31+Z(2)*XZ31)
C (PZ PX/PY PX)
W(75) =
1 (RI(16)*XX31+RI(17)*ZZ31)*XX21+RI(18)*XX31*YYZZ21
2 +RI(19)*ZZ31*ZZ21
3 +RI(20)*(XY31*XY21+XZ31*XZ21)
4 +RI(21)*ZZ31*YY21
5 +RI(22)*YZ31*YZ21
C (PZ PX/PY PY)
W(76) =
1 (RI(16)*XX31+RI(17)*ZZ31)*XX22+RI(18)*XX31*YYZZ22
2 +RI(19)*ZZ31*ZZ22
3 +RI(20)*(XY31*XY22+XZ31*XZ22)
4 +RI(21)*ZZ31*YY22
5 +RI(22)*YZ31*YZ22
C (PZ PX/PZ S)
W(77)=X(3)*(RI(8)*XX31+RI(9)*ZZ31)
1 +RI(10)*( +Z(3)*XZ31)
C (PZ PX/PZ PX)
W(78) =
1 (RI(16)*XX31+RI(17)*ZZ31)*XX31
2 +(RI(18)*XX31+RI(19)*ZZ31)*ZZ31
3 +RI(20)*(XY31*XY31+XZ31*XZ31)
4 +RI(22)*YZ31*YZ31
C (PZ PX/PZ PY)
W(79) =
1 (RI(16)*XX31+RI(17)*ZZ31)*XX32
2 +(RI(18)*XX31+RI(19)*ZZ31)*ZZ32
3 +RI(20)*(XY31*XY32+XZ31*XZ32)
4 +RI(22)*YZ31*YZ32
C (PZ PX/PZ PZ)
W(80) =
1 (RI(16)*XX31+RI(17)*ZZ31)*XX33
2 +(RI(18)*XX31+RI(19)*ZZ31)*ZZ33
3 +RI(20)*XZ31*XZ33
C (PZ PY/S S)
W(81)=RI(3)*XX32+RI(4)*ZZ32
C (PZ PY/PX S)
W(82)=X(1)*(RI(8)*XX32+RI(9)*ZZ32)
1 +RI(10)*(Y(1)*XY32+Z(1)*XZ32)
C (PZ PY/PX PX)
W(83) =
1 (RI(16)*XX32+RI(17)*ZZ32)*XX11+RI(18)*XX32*YYZZ11
2 +RI(19)*ZZ32*ZZ11
3 +RI(20)*(XY32*XY11+XZ32*XZ11)
4 +RI(21)*ZZ32*YY11
5 +RI(22)*YZ32*YZ11
C (PZ PY/PY S)
W(84)=X(2)*(RI(8)*XX32+RI(9)*ZZ32)
1 +RI(10)*(Y(2)*XY32+Z(2)*XZ32)
C (PZ PY/PY PX)
W(85) =
1 (RI(16)*XX32+RI(17)*ZZ32)*XX21+RI(18)*XX32*YYZZ21
2 +RI(19)*ZZ32*ZZ21
3 +RI(20)*(XY32*XY21+XZ32*XZ21)
4 +RI(21)*ZZ32*YY21
5 +RI(22)*YZ32*YZ21
C (PZ PY/PY PY)
W(86) =
1 (RI(16)*XX32+RI(17)*ZZ32)*XX22+RI(18)*XX32*YYZZ22
2 +RI(19)*ZZ32*ZZ22
3 +RI(20)*(XY32*XY22+XZ32*XZ22)
4 +RI(21)*ZZ32*YY22
5 +RI(22)*YZ32*YZ22
C (PZ PY/PZ S)
W(87)=X(3)*(RI(8)*XX32+RI(9)*ZZ32)
1 +RI(10)*( +Z(3)*XZ32)
C (PZ PY/PZ PX)
W(88) =
1 (RI(16)*XX32+RI(17)*ZZ32)*XX31
2 +(RI(18)*XX32+RI(19)*ZZ32)*ZZ31
3 +RI(20)*(XY32*XY31+XZ32*XZ31)
4 +RI(22)*YZ32*YZ31
C (PZ PY/PZ PY)
W(89) =
1 (RI(16)*XX32+RI(17)*ZZ32)*XX32
2 +(RI(18)*XX32+RI(19)*ZZ32)*ZZ32
3 +RI(20)*(XY32*XY32+XZ32*XZ32)
4 +RI(22)*YZ32*YZ32
C (PZ PY/PZ PZ)
W(90) =
1 (RI(16)*XX32+RI(17)*ZZ32)*XX33
2 +(RI(18)*XX32+RI(19)*ZZ32)*ZZ33
3 +RI(20)*XZ32*XZ33
C (PZ PZ/S S)
W(91)=RI(3)*XX33+RI(4)*ZZ33
C (PZ PZ/PX S)
W(92)=X(1)*(RI(8)*XX33+RI(9)*ZZ33)
1 +RI(10)*( Z(1)*XZ33)
C (PZ PZ/PX PX)
W(93) =
1 (RI(16)*XX33+RI(17)*ZZ33)*XX11+RI(18)*XX33*YYZZ11
2 +RI(19)*ZZ33*ZZ11
3 +RI(20)*XZ33*XZ11
4 +RI(21)*ZZ33*YY11
C (PZ PZ/PY S)
W(94)=X(2)*(RI(8)*XX33+RI(9)*ZZ33)
1 +RI(10)*( +Z(2)*XZ33)
C (PZ PZ/PY PX)
W(95) =
1 (RI(16)*XX33+RI(17)*ZZ33)*XX21+RI(18)*XX33*YYZZ21
2 +RI(19)*ZZ33*ZZ21
3 +RI(20)*XZ33*XZ21
4 +RI(21)*ZZ33*YY21
C (PZ PZ/PY PY)
W(96) =
1 (RI(16)*XX33+RI(17)*ZZ33)*XX22+RI(18)*XX33*YYZZ22
2 +RI(19)*ZZ33*ZZ22
3 +RI(20)*XZ33*XZ22
4 +RI(21)*ZZ33*YY22
C (PZ PZ/PZ S)
W(97)=X(3)*(RI(8)*XX33+RI(9)*ZZ33)
1 +RI(10)*( +Z(3)*XZ33)
C (PZ PZ/PZ PX)
W(98) =
1 (RI(16)*XX33+RI(17)*ZZ33)*XX31
2 +(RI(18)*XX33+RI(19)*ZZ33)*ZZ31
3 +RI(20)*XZ33*XZ31
C (PZ PZ/PZ PY)
W(99) =
1 (RI(16)*XX33+RI(17)*ZZ33)*XX32
2 +(RI(18)*XX33+RI(19)*ZZ33)*ZZ32
3 +RI(20)*XZ33*XZ32
C (PZ PZ/PZ PZ)
W(100) =
1 (RI(16)*XX33+RI(17)*ZZ33)*XX33
2 +(RI(18)*XX33+RI(19)*ZZ33)*ZZ33
3 +RI(20)*XZ33*XZ33
KI = 100
ELSE
C (PX S/S S)
W(2)=RI(2)*X(1)
C (PX PX/S S)
W(3)=RI(3)*XX11+RI(4)*YYZZ11
C (PY S/S S)
W(4)=RI(2)*X(2)
C (PY PX/S S)
W(5)=RI(3)*XX21+RI(4)*YYZZ21
C (PY PY/S S)
W(6)=RI(3)*XX22+RI(4)*YYZZ22
C (PZ S/SS)
W(7)=RI(2)*X(3)
C (PZ PX/S S)
W(8)=RI(3)*XX31+RI(4)*ZZ31
C (PZ PY/S S)
W(9)=RI(3)*XX32+RI(4)*ZZ32
C (PZ PZ/S S)
W(10)=RI(3)*XX33+RI(4)*ZZ33
KI = 10
END IF
END IF
C
C *** NOW ROTATE THE NUCLEAR ATTRACTION INTEGRALS.
C *** THE STORAGE OF THE NUCLEAR ATTRACTION INTEGRALS CORE(KL/IJ) IS
C (SS/)=1, (SO/)=2, (OO/)=3, (PP/)=4
C
E1B(1)=-CSS1
IF(NATORB(NI).EQ.4) THEN
E1B(2) = -CSP1 *X(1)
E1B(3) = -CPPS1*XX11-CPPP1*YYZZ11
E1B(4) = -CSP1 *X(2)
E1B(5) = -CPPS1*XX21-CPPP1*YYZZ21
E1B(6) = -CPPS1*XX22-CPPP1*YYZZ22
E1B(7) = -CSP1 *X(3)
E1B(8) = -CPPS1*XX31-CPPP1*ZZ31
E1B(9) = -CPPS1*XX32-CPPP1*ZZ32
E1B(10)= -CPPS1*XX33-CPPP1*ZZ33
END IF
E2A(1)=-CSS2
IF(NATORB(NJ).EQ.4) THEN
E2A(2) = -CSP2 *X(1)
E2A(3) = -CPPS2*XX11-CPPP2*YYZZ11
E2A(4) = -CSP2 *X(2)
E2A(5) = -CPPS2*XX21-CPPP2*YYZZ21
E2A(6) = -CPPS2*XX22-CPPP2*YYZZ22
E2A(7) = -CSP2 *X(3)
E2A(8) = -CPPS2*XX31-CPPP2*ZZ31
E2A(9) = -CPPS2*XX32-CPPP2*ZZ32
E2A(10)= -CPPS2*XX33-CPPP2*ZZ33
END IF
IF(ABS(TORE(NI)).GT.20.D0.AND.ABS(TORE(NJ)).GT.20.D0) THEN
C SPARKLE-SPARKLE INTERACTION
ENUC=0.D0
RETURN
ELSEIF (RIJ.LT.1.D0.AND.NATORB(NI)*NATORB(NJ).EQ.0) THEN
ENUC=0.D0
RETURN
ENDIF
SCALE = EXP(-ALP(NI)*RIJ)+EXP(-ALP(NJ)*RIJ)
C
IF (NI.EQ.24.AND.NJ.EQ.24) THEN
SCALE = EXP(-ALPTM(NI)*RIJ)+EXP(-ALPTM(NJ)*RIJ)
ENDIF
C
NT=NI+NJ
IF(NT.EQ.8.OR.NT.EQ.9) THEN
IF(NI.EQ.7.OR.NI.EQ.8) SCALE=SCALE+(RIJ-1.D0)*EXP(-ALP(NI)*R
1IJ)
IF(NJ.EQ.7.OR.NJ.EQ.8) SCALE=SCALE+(RIJ-1.D0)*EXP(-ALP(NJ)*R
1IJ)
ENDIF
ENUC = TORE(NI)*TORE(NJ)*GAM
SCALE=ABS(SCALE*ENUC)
IF(ITYPE.EQ.2.AND.(NI.EQ.5.OR.NJ.EQ.5))THEN
C
C LOAD IN AM1 BORON GAUSSIANS
C
NK=NI+NJ-5
C NK IS THE ATOMIC NUMBER OF THE NON-BORON ATOM
NL=1
IF(NK.EQ.1)NL=2
IF(NK.EQ.6)NL=3
IF(NK.EQ.9.OR.NK.EQ.17.OR.NK.EQ.35.OR.NK.EQ.53)NL=4
DO 30 I=1,3
FN1(5,I)=BORON1(I,NL)
FN2(5,I)=BORON2(I,NL)
30 FN3(5,I)=BORON3(I,NL)
ENDIF
IF(ITYPE.EQ.2.OR.ITYPE.EQ.3) THEN
DO 40 IG=1,10
IF(ABS(FN1(NI,IG)).GT.0.D0) THEN
AX = FN2(NI,IG)*(RIJ-FN3(NI,IG))**2
IF(AX .LE. 25.D0) THEN
SCALE=SCALE +TORE(NI)*TORE(NJ)/RIJ*FN1(NI,IG)*EXP(-
1AX)
ENDIF
ENDIF
IF(ABS(FN1(NJ,IG)).GT.0.D0) THEN
AX = FN2(NJ,IG)*(RIJ-FN3(NJ,IG))**2
IF(AX .LE. 25.D0) THEN
SCALE=SCALE +TORE(NI)*TORE(NJ)/RIJ*FN1(NJ,IG)*EXP(-
1AX)
ENDIF
ENDIF
40 CONTINUE
ENDIF
ENUC=ENUC+SCALE
C
IF(NATORB(NI)*NATORB(NJ).EQ.0)KI=0
KR=KR+KI
C
C
ENDIF
RETURN
END
|
