-
Notifications
You must be signed in to change notification settings - Fork 10
/
dipole.f90
2136 lines (2030 loc) · 74.4 KB
/
dipole.f90
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
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
module dipole
use accuracy, only : hik, ik, rk, ark, cl, out, vellgt, planck, avogno, boltz, pi, small_
use diatom_module,only : job,Intensity,quantaT,eigen,basis,Ndipoles,dipoletm,duo_j0,fieldT,poten,three_j,jmin_global
use timer, only : IOstart,Arraystart,Arraystop,ArrayMinus,Timerstart,Timerstop,MemoryReport, &
TimerReport,memory_limit,memory_now
use symmetry, only : sym,correlate_to_Cs
private
public dm_tranint
real(rk),allocatable,save :: dipole_me(:, :)
type DmatT
real(rk),pointer :: mat(:,:,:)
end type DmatT
type DimatT
integer(ik),pointer :: imat(:,:,:)
end type DimatT
type DkmatT
integer(ik),pointer :: kmat(:,:)
end type DkmatT
!
type ElevelT
integer(ik) :: jind ! J index
integer(ik) :: igamma
integer(ik) :: ilevel
end type ElevelT
!
type dipoleT
real(rk),pointer :: rot(:,:,:,:,:)
end type dipoleT
integer(ik) :: Neigenlevels
!
type(ElevelT),allocatable :: Elevel(:)
!
type(dipoleT),allocatable :: wigner(:,:) ! Rotational component of the dipole moment matrix elements
!type(IntensityT),save :: intensity
contains
subroutine dm_tranint
! compute partition function, electric dipole transition moments, linestrength, and intensities
integer(ik) :: info
integer(ik) :: nJ, jind
real(rk), allocatable :: Jval(:),q_part(:,:)
real(rk) :: Jval_,Jval_min,Jmin, Jmax,exp_en, part, beta, energy
integer(ik) :: ilevel, irrep,igamma,isym,istate,parity_gu
integer(ik) :: iverbose = 4
! initialize array of J values
! J=0 is always present no matter if we use it in intensity calcs or not.
!call define_jlist(Jval)
!
Jmin = minval(intensity%J(1:2))
Jmax = maxval(intensity%J(1:2))
!
Jmin = max(jmin_global,Jmin)
!
! This is the lowest possible J, 0 or 0.5 to make sure all computed energies J>0 are included into
! the line list for any intensity%J in order to guarantee consistent Energy list numbering
Jval_min = 0 ; if (mod(nint(2.0_rk*job%j_list(1)),2)/=0) Jval_min = 0.5
Jval_min = max(jmin_global,Jval_min)
!
Jval_ = Jval_min
nJ = 1
do while (Jval_<Jmax)
Jval_ = Jval_ + 1.0_rk
nJ = nJ + 1
enddo
!
allocate(Jval(nJ), stat = info)
if (info /= 0) stop 'dm_tranint allocation error: Jval - out of memory'
!
allocate(q_part(20,nJ), stat = info)
if (info /= 0) stop 'dm_tranint allocation error: q_part - out of memory'
!
Jval_ = Jval_min
jind = 1
Jval(jind) = Jval_
do while (Jval_<Jmax)
jind = jind + 1
Jval_ = Jval_ + 1.0_rk
Jval(jind) = Jval_
end do
!
call duo_j0(iverbose,Jval)
!
!call Sort_levels(iverbose,nJ, Jval(1:nJ))
!
! update ZPE if not provided as part of the intensity input
!
if (job%shift_to_zpe) then
!
do jind = 1,nJ
!
Jval_ = Jval(jind)
!
do igamma = 1,sym%NrepresCs
!
do ilevel = 1,eigen(jind,igamma)%Nlevels
!
energy = eigen(jind,igamma)%val(ilevel)
!
intensity%zpe = min(intensity%zpe,energy)
!
enddo
!
enddo
end do
!
if (iverbose>=2) write(out,'(/"Zero point energy (ZPE) = ",f18.6," (global zero, used for intensities)")') intensity%ZPE
if (iverbose>=4) write(out,"(/'Partition funciton = ',f18.4,' T = ',f12.2)") intensity%part_func,intensity%temperature
!
endif
!
select case (trim(intensity%action))
!
case('ABSORPTION', 'EMISSION', 'TM')
!
! read contraction indexes (icase,ilambda) for all J specified
!
!call read_contrind(nJ, Jval(1:nJ))
!
!if (allocated(bset_contr)) deallocate(bset_contr)
!allocate(bset_contr(0:njval), stat = info)
!if (info /= 0) stop 'read_contr_ind allocation error: bset_contr - out of memory'
!
!bset_contr(0)%Ndimen = Ntotalvib
!bset_contr(0)%Ntotal = Ntotalvib
!
!allocate(bset_contr(0)%icontr(Ntotalvib),stat = info)
!call ArrayStart('bset_contr',info,1,4)
!
!do iJ = 1,nJ
! !
! !bset_contr(iJ)%jval = jval(iJ)
! !
! Jrot = Jval(iJ)
! !
! ! CHECK SIZE OF ICONTR AND ALLOCATE IT???
! !
! Ndimen = eigen(iJ)%Ndimen
! Nlevels = eigen(iJ)%Nlevels
! !
! !allocate(bset_contr(iJ)%icontr(Ndimen),stat = info)
! !call ArrayStart('bset_contr',info,1,4)
! !
! !call check_point_eigenvectors('READ',iverbose,Jrot,Ntotal,bset_contr(iJ)%icontr)
! bset_contr(iJ)%Nlevels = Ntotal
! !
!enddo
!
! find correlation between indexes for J = 0 and J > 0
! We need this because the contracted matrix elements of the
! dipole moment are computed on the J=0 conatracted basis functions.
! When J/=0 the numbering (bookkeeping) of these basis set has changed and
! we need to find the correlation between the bookkeepings.
!
!call index_correlation(nJ, Jval(1:nJ))
!
! read eigenvalues and their labeling, i.e. description;
! initialize file-units for reading eigenvectors
!
call Sort_levels(iverbose,nJ, Jval(1:nJ))
!
!restore vibrational contracted matrix elements
!for all dipole moment vector components
!
!call check_point_dipoles('READ',iverbose,totalroots)
!
! Run intensity simulations
!
beta = planck * vellgt / (boltz * intensity%temperature)
!
! Compute part-func if not given
!
if (intensity%part_func<small_) then
!
intensity%part_func = 0
!
do jind = 1,nJ
!
Jval_ = Jval(jind)
!
do igamma = 1,sym%NrepresCs
!
do ilevel = 1,eigen(jind,igamma)%Nlevels
!
energy = eigen(jind,igamma)%val(ilevel)
irrep = eigen(jind,igamma)%quanta(ilevel)%igamma
!
! for homonuclear symmetries Nrepres = 4 and the irrep can be reconstucted baed on the parity and g/u:
istate = eigen(jind,igamma)%quanta(ilevel)%istate
parity_gu = poten(istate)%parity%gu
isym = correlate_to_Cs(igamma,parity_gu)
!
exp_en = exp(-(energy - intensity%ZPE) * beta)
!
intensity%part_func = intensity%part_func + intensity%gns(isym)*(2.0_rk*Jval_+1.0_rk) * exp_en
!
enddo
!
enddo
end do
!
if (iverbose>=4) write(out,"(/'Partition funciton = ',f18.4,' T = ',f12.2)") intensity%part_func,intensity%temperature
!
endif
!
call dm_intensity(Jval,iverbose)
!
write(out, '(/a)') 'done'
!
!compute partition function
!
case('PARTFUNC')
!
write(out, '(/a)') 'compute partition function'
!
beta = planck * vellgt / (boltz * intensity%temperature)
!
!loop ove J values
!
q_part = 0
!
do jind = 1,nJ
!
Jval_ = Jval(jind)
!
do igamma = 1,sym%NrepresCs
!
do ilevel = 1,eigen(jind,igamma)%Nlevels
!
energy = eigen(jind,igamma)%val(ilevel)
irrep = eigen(jind,igamma)%quanta(ilevel)%igamma
!
! for homonuclear symmetries Nrepres = 4 and the irrep can be reconstucted baed on the parity and g/u:
istate = eigen(jind,igamma)%quanta(ilevel)%istate
parity_gu = poten(istate)%parity%gu
isym = correlate_to_Cs(igamma,parity_gu)
!
exp_en = exp(-(energy - intensity%ZPE) * beta)
!
q_part(irrep,jind) = q_part(irrep,jind) + intensity%gns(isym)*(2.0_rk*Jval_+1.0_rk) * exp_en
!
enddo
!
enddo
end do
!
part = sum(q_part(:,:))
!
do jind=1,nJ
do irrep = 1,sym%NrepresCs
write(out, '(i4,1x,f18.1,1x,es16.8)') irrep,Jval(jind),q_part(irrep,jind)
enddo
enddo
!
write(out, '(es16.8)') part
!
end select
!
call MemoryReport
!
call TimerReport
!
end subroutine dm_tranint
!
!
function cg(j0, k0, dj, dk)
! return values for some CG coeeficients
! j0 and k0 are j" and k" (initial state)
! j0 + dj and k0 + dk are j' and k' (final state)
! compute <j0 k0, 1 dk|j0+dj k0+dk>
integer(ik), intent(in) :: j0, k0, dj, dk
real(rk) :: cg
real(rk) :: j, m
j = real(j0, kind = rk)
m = real(k0 + dk, kind = rk)
cg = 0.0_rk
if (dj == 0 .and. dk == 0) cg = m / sqrt(j * (j + 1.0_rk))
if (dj == 0 .and. dk == 1) cg = -sqrt((j + m) * (j - m + 1.0_rk) / (2.0_rk * j * (j + 1.0_rk)))
if (dj == 0 .and. dk == -1) cg = sqrt((j - m) * (j + m + 1.0_rk) / (2.0_rk * j * (j + 1.0_rk)))
if (dj == 1 .and. dk == 0) cg = sqrt((j - m + 1.0_rk) * (j + m + 1.0_rk) / ((2.0_rk * j + 1.0_rk) * (j + 1.0_rk)))
if (dj == 1 .and. dk == 1) cg = sqrt((j + m) * (j + m + 1.0_rk) / ((2.0_rk * j + 1.0_rk) * (2.0_rk * j + 2.0_rk)))
if (dj == 1 .and. dk == -1) cg = sqrt((j - m) * (j - m + 1.0_rk) / ((2.0_rk * j + 1.0_rk) * (2.0_rk * j + 2.0_rk)))
if (dj == -1 .and. dk == 0) cg =-sqrt((j - m) * (j + m) / (j * (2.0_rk * j + 1.0_rk)))
if (dj == -1 .and. dk == 1) cg = sqrt((j - m) * (j - m + 1.0_rk) / (2.0_rk * j * (2.0_rk * j + 1.0_rk)))
if (dj == -1 .and. dk == -1) cg = sqrt((j + m + 1.0_rk) * (j + m) / (2.0_rk * j * (2.0_rk * j + 1.0_rk)))
return
end function cg
!
! Electric dipole moment intensities and transition moments calculations
!
subroutine dm_intensity(Jval,iverbose)
!
implicit none
!
real(rk),intent(in) :: Jval(:)
integer(ik),intent(in) :: iverbose
integer(ik) :: nJ,dimenmax
integer(ik) :: ilevelI, ilevelF
integer(ik) :: nlevelsG(sym%Nrepresen)
integer(ik) :: info,indI,indF,itransit,Ntransit,Nrepresen
integer(ik) :: igammaI,igammaF
integer(ik) :: dimenI,dimenF,nmax,parity_gu,isymI,isymF
real(rk) :: energyI, energyF, nu_if,linestr,ener_,linestr2
real(rk) :: tm,jI,jF,ddot
logical :: passed,passed_
real(rk), allocatable :: vecI(:), vecF(:)
real(rk),allocatable :: half_linestr(:)
!
integer(ik) :: jind,nlevels,j1,j2
!
integer(ik) :: iroot,NlevelsI,NlevelsF,nlower,k,k_,iLF,iflag_rich
!
integer(ik) :: igamma_pair(sym%Nrepresen),igamma,istateI,istateF,ivibI,ivibF,ivI,ivF,ilambdaI,ilambdaF,iparityI,itau
integer(ik) :: ivF_,ilambdaF_
real(rk) :: spinI,spinF,omegaI,omegaF,sigmaI,sigmaF,sigmaF_,omegaF_,spinF_
integer(hik) :: matsize
!
character(len=1) :: branch,ef,pm
character(len=2) :: dir
character(len=10) :: statename
!
type(quantaT),pointer :: quantaI,quantaF
!
real(rk) :: boltz_fc, beta, intens_cm_mol, emcoef, A_coef_s_1, A_einst, absorption_int,lande
!
character(len=130) :: my_fmt !format for I/O specification
integer :: ndecimals
integer(ik) :: enunit,transunit
character(len=cl) :: filename,ioname
!
logical :: integer_spin = .true.
!
integer(ik) :: alloc_p
!
integer(ik) :: Jmax_,ID_J,nMs
real(rk) :: J_
character(len=12) :: char_Jf,char_Ji,char_LF
integer(ik),allocatable :: richunit(:,:)
character(1) :: let_LF ! richmol letters x,y,z
!
call TimerStart('Intensity calculations')
!
if (sym%maxdegen>2) then
!
write(out,"('dm_intensity: this procedure has not been tested for the symmetries with degeneracies higher than 2')")
!stop 'dm_intensity was not tested for present symmetry'
!
endif
!
Nrepresen = sym%NrepresCs
!
beta = planck * vellgt / (boltz * intensity%temperature)
intens_cm_mol = 8.0d-36*pi**3 / (3.0_rk * planck * vellgt)
emcoef = planck*vellgt/(4.0_rk*pi)
A_coef_s_1 =64.0d-36 * pi**4 / (3.0_rk * planck)
!
nJ = size(Jval)
!
! Prepare the list of units with the stored eigenvectors
!
!allocate(Jeigenvec_unit(nJ), stat = info)
!if (info /= 0) stop 'dm_tranint allocation error: Jeigenvec_unit - out of memory'
!
!do jind=1,nJ
! Jeigenvec_unit(jind) = TReigenvec_unit(jind,Jval)
!enddo
!
! open units for the line list in the exomol format
if (trim(intensity%linelist_file)/="NONE") then
!
filename = trim(intensity%linelist_file)//'.states'
write(ioname, '(a, i4)') 'Energy file '
call IOstart(trim(ioname),enunit)
open(unit = enunit, action = 'write',status='replace' , file = filename)
!
filename = trim(intensity%linelist_file)//'.trans'
write(ioname, '(a, i4)') 'Transition file '
call IOstart(trim(ioname),transunit)
open(unit = transunit, action = 'write',status='replace' , file = filename)
!
if ( intensity%matelem ) then
!
Jmax_ = nint(maxval(Jval(:)))
!
allocate(richunit(nJ,nJ))
!
do indI = 1, nJ
!
jI = Jval(indI)
write(char_jI,'(i12)') min(nint(Ji),nint(jF))
do indF = 1, nJ
!
jF = Jval(indF)
!
! selection rules: Delta J<=1
!
if (nint(abs(jI-jF))>1.or.nint(jI+jF)==0) cycle
!
write(char_Jf,'(i12)') max(nint(Ji),nint(jF))
!
! New RICHMOL format - one file for x,y,z
!
filename = &
"matelem_MU_"//"_j"//trim(adjustl(char_jI))//"_j"//trim(adjustl(char_jF))//"_"//trim(intensity%linelist_file)//".rchm"
!
call IOstart(trim(filename),richunit(indI,indF))
!
if (Jf>=Ji) &
open(unit = richunit(indI,indF), action = 'write',status='replace' , file = filename)
!
write(richunit(indI,indF),"('Start richmol format')")
!
write(richunit(indI,indF),"('MU',' 1',' 3')")
write(richunit(indI,indF),"('M-tensor')")
!
! three cartesian LF-components
do iLF = 1,3
!
! set let_LF FOR EACH COMPONENT
!
let_LF = "x" ; if (iLF==2) let_LF = "y" ; if (iLF==3) let_LF = "z"
!
iflag_rich = -1 ; if (iLF==2) iflag_rich = 0 ! NEW RICHMOL FORMAT
!
write(char_LF,'(i12)') iLF
!
! this flag is 0 for real M-values, 1 for imaginary and -1 for i**2 (OLD FORMAT)
! iflag_rich = 0 ; if (iLF==2) iflag_rich = 1 ! OLD RICHMOL FORMAT
write(richunit(indI,indF),"('alpha',i5,i3,1x,a1)") iLF,iflag_rich,let_LF
!
! count the number of M-elements ! OLD RICHMOL FORMAT
! call do_LF_matrix_elements(iLF,richunit(indI,indF,iLF),jI,jF,nMs) ! OLD RICHMOL FORMAT
!write(richunit(indI,indF,iLF),"(i7)") nMs ! OLD RICHMOL FORMAT
!
call do_LF_matrix_elements(iLF,richunit(indI,indF),jI,jF) ! write elements
!
!write(richunit(indI,indF,iLF),"('MF-block')") ! OLD RICHMOL FORMAT
!
enddo
!
write(richunit(indI,indF),"('K-tensor')") ! NEW RICHMOL FORMAT
!
enddo
enddo
endif
!
endif
!
! maximal size of basis functions
!
dimenmax = 0
!
!loop over J quantities
!
do jind = 1, nJ
do igamma=1,Nrepresen
!
! Estimate the maximal size of the basis functions.
!
dimenmax = max(dimenmax,eigen(jind,igamma)%Ndimen)
!
enddo
enddo
!
Nmax = nint(Jval(nJ))+1
!
! in the case of the proper rotatonal symmetry the matrix elements of the
! wigner matrix have to be computed using the correspoding symmetrization
! transformation derived here. they will be used together with the
! vibrational matrix elements of the dipole moment when evaluating
! line strengthes using eigenvectos.
!
!if (job%rotsym_do) call conctraced_rotational_dipole(nJ, jval, jmax, threej)
!
!allocate arrays for eigenvectors and coefficients
!
! First we count transitions to be calculated. It will help us to keep track of the
! calculation progress.
!
Ntransit = 0
!
!number of initial states
!
nlevels = Neigenlevels
!
! For a given symmetry igamma with some gns(igamma) we find its counterpart jgamma/=igamma
! having the same gns(jgamma). We assume that there is only one such pair
! in case of absorption or emission calcs.
!
call find_igamma_pair(igamma_pair)
!
call TimerStart('Intens_Filter-1')
!
! loop over initial states
!
ener_ = 0
!
nlower = 0
iroot = 0
!
do indI = 1, nJ
!
! rotational quantum number
!
jI = Jval(indI)
!
do igammaI=1,Nrepresen
!
nlevelsI = eigen(indI,igammaI)%Nlevels
!
!omp parallel do private(ilevelI,jI,energyI,igammaI,quantaI,ilevelF,jF,energyF,igammaF,quantaF,passed) &
! & schedule(guided) reduction(+:Ntransit,nlevelI)
do ilevelI = 1, nlevelsI
!
!energy energy and and quanta of the initial state
!
energyI = eigen(indI,igammaI)%val(ilevelI)
!
istateI = eigen(indI,igammaI)%quanta(ilevelI)%istate
parity_gu = poten(istateI)%parity%gu
isymI = correlate_to_Cs(igammaI,parity_gu)
!
call energy_filter_lower(jI,energyI,passed)
!
if (.not.passed) cycle
!
nlower = nlower + 1
!
do indF = 1, nJ
!
! rotational quantum number
!
jF = jval(indF)
!
do igammaF=1,Nrepresen
!
nlevelsF = eigen(indF,igammaF)%Nlevels
!
!call Jgamma_filter(jI,jF,igammaI,igammaF,igamma_pair,passed)
!
!if (.not.passed) cycle
!
!omp parallel do private(ilevelI,jI,energyI,igammaI,quantaI,ilevelF,jF,energyF,igammaF,quantaF,passed) &
! & schedule(guided) reduction(+:Ntransit,nlevelI)
do ilevelF = 1, nlevelsF
!
!energy and and quanta of the final state
!
energyF = eigen(indF,igammaF)%val(ilevelF)
!
istateF = eigen(indF,igammaF)%quanta(ilevelF)%istate
parity_gu = poten(istateF)%parity%gu
isymF = correlate_to_Cs(igammaF,parity_gu)
!
call intens_filter(jI,jF,energyI,energyF,isymI,isymF,igamma_pair,passed)
!
if (passed) then
!
Ntransit = Ntransit + 1
!
endif
!
enddo
enddo
enddo
!
enddo
!
enddo
enddo
!omp end parallel do
!
call TimerStop('Intens_Filter-1')
!
!
!loop over final states -> count states for each symmetry
!
nlevelsG = 0
!
! guessing if this is a half-integer spin case
if (mod(eigen(1,1)%quanta(1)%imulti,2)==0) integer_spin = .false.
!
allocate(vecI(dimenmax), stat = info)
call ArrayStart('intensity-vecI',info,size(vecI),kind(vecI))
!
do indI = 1, nJ
!
! rotational quantum number
!
jI = jval(indI)
!
J_ = -1 ! For RichMol count
!
do igammaI=1,Nrepresen
!
nlevelsI = eigen(indI,igammaI)%Nlevels
!
dimenI = eigen(indI,igammaI)%Ndimen
!
!
!omp parallel do private(ilevelI,jI,energyI,igammaI,quantaI,ilevelF,jF,energyF,igammaF,quantaF,passed) &
! & schedule(guided) reduction(+:Ntransit,nlevelI)
do ilevelI = 1, nlevelsI
!
!energy energy and and the symmetry of the state
!
energyI = eigen(indI,igammaI)%val(ilevelI)
!
istateI = eigen(indI,igammaI)%quanta(ilevelI)%istate
parity_gu = poten(istateI)%parity%gu
! Obtain the C2v/Cs symmetry
isymI = correlate_to_Cs(igammaI,parity_gu)
!
! ignore states with zero nuclear weight
if (intensity%gns(isymI)<small_) cycle
!
iroot = iroot + 1
eigen(indI,igammaI)%quanta(ilevelI)%iroot = iroot
!
if (trim(intensity%linelist_file)/="NONE") then
!
!dimension of the bases for the initial states
!
!energy, quanta, and gedeneracy order of the initial state
quantaI => eigen(indI,igammaI)%quanta(ilevelI)
ivibI = quantaI%ivib
ivI = quantaI%v
sigmaI = quantaI%sigma
spinI = quantaI%spin
ilambdaI = quantaI%ilambda
omegaI = quantaI%omega
iparityI = quantaI%iparity
statename = trim(quantaI%name)
!
! reconstruct the +/- and e/f parities:
!
pm = "+" ; if (iparityI==1) pm = "-"
ef = "e" ;
!
if ( mod( nint( 2.0*jI ),2 )==1 ) then
itau = mod( nint( jI-0.5 ),2 )
else
itau = mod( nint( jI ),2 )
endif
!
if (itau==iparityI) then
ef = "e"
else
ef = "f"
endif
!
! ndecimals contains the number of decimal digits to print for energy levels
! we use 6 decimals for energy levels up to 100,000 cm-1, then sacrify more and more decimals
! to make larger numbers fit in 12 spaces.
! The present format works for energy levels larger than -10000 cm-1 and less than 1e11 cm-1
! By Lorenzo Lodi
ndecimals=6-max(0, int( log10(abs(energyI-intensity%ZPE)+1.d-6)-4) )
!
!Mikhail Semenov: Lande g-factor for the selected eigenstate
!
if (intensity%lande_calc) then
!
lande = 0
!
vecI(1:dimenI) = eigen(indI,igammaI)%vect(1:dimenI,ilevelI)
!
!do k = 1,dimenI
! !
! omegaF = basis(indI)%icontr(k)%omega
! sigmaF = basis(indI)%icontr(k)%sigma
! ilambdaF = basis(indI)%icontr(k)%ilambda
! !
! if ( Ji > 0) then
! !
! lande = lande + vecI(k)**2*( omegaF+sigmaF )*omegaF/real(Ji*(Ji + 1),rk)
! !
! endif
! !
!enddo
!
! This version of Lande factor takes into account the non-diagonal Sigma/Sigma+/-1 terms
!
if (Ji>0) then
!
do k = 1,dimenI
!
omegaF = basis(indI)%icontr(k)%omega
sigmaF = basis(indI)%icontr(k)%sigma
ilambdaF = basis(indI)%icontr(k)%ilambda
spinF = basis(indI)%icontr(k)%spin
ivF = basis(indI)%icontr(k)%ivib
!
do k_ = 1,dimenI
!
omegaF_ = basis(indI)%icontr(k_)%omega
sigmaF_ = basis(indI)%icontr(k_)%sigma
ilambdaF_ = basis(indI)%icontr(k_)%ilambda
spinF_ = basis(indI)%icontr(k_)%spin
ivF_ = basis(indI)%icontr(k_)%ivib
!
if (ilambdaF/=ilambdaF_.or.nint(spinF-spinF_)/=0.or.ivF/=ivF_) cycle
!
if ( k==k_ ) then
!
! g_e = 2.0023
!
lande = lande + vecI(k)*vecI(k)*( real(ilambdaF,rk)+2.0023_rk*sigmaF )*omegaF
!
elseif (nint(abs(sigmaF_-sigmaF))==1) then
!
lande = lande + vecI(k)*vecI(k_)*&
sqrt( spinF*(spinF+1.0_rk)-sigmaF*(sigmaF+sigmaF_-sigmaF) )*&
sqrt( Ji*(Ji+1.0_rk)-omegaF*(omegaF+omegaF_-omegaF) )*2.002319_rk/2.0_rk
!
endif
!
enddo
!
enddo
!
lande = lande/( Ji*(Ji + 1.0_rk) )
!
endif
!
if (integer_spin) then
!
write(my_fmt,'(A,i0,a)') "(i12,1x,f12.",ndecimals,",1x,i6,1x,i7,1x,f13.6,1x,a1,1x,a1,1x,a10,1x,i3,1x,i2,2i8)"
write(enunit,my_fmt) &
iroot,energyI-intensity%ZPE,nint(intensity%gns(isymI)*( 2.0_rk*jI + 1.0_rk )),nint(jI),&
lande,pm,ef,statename,ivI,(ilambdaI),nint((sigmaI)),nint((omegaI))
!
else
!
write(my_fmt,'(A,i0,a)') "(i12,1x,f12.",ndecimals,",1x,i6,1x,f7.1,1x,f13.6,1x,a1,1x,a1,1x,a10,1x,i3,1x,i2,2f8.1)"
write(enunit,my_fmt) &
iroot,energyI-intensity%ZPE,nint(intensity%gns(isymI)*( 2.0_rk*jI + 1.0_rk )),jI,&
lande,pm,ef,statename,ivI,(ilambdaI),(sigmaI),(omegaI)
!
endif
!
elseif ( intensity%matelem ) then
!
ndecimals=6-max(0, int( log10(abs(energyI-intensity%ZPE)+1.d-6)-4) )
!
if (nint(2*Ji)/=nint(2*J_)) then
!
J_ = Ji
ID_J = 0
!
endif
!
ID_J = ID_J + 1
quantaI%iJ_ID = ID_J
!
if (integer_spin) then
!
write(my_fmt,'(a)') "(i6,1x,i8,1x,i2,1x,i2,3x,e21.14,5x,a4,i3,1x,a2,i4,1x,a2,f8.4,1x,i6,1x,i6,1x,i4,1x,i6,1x,a1,1x,a10)"
write(enunit,my_fmt) &
nint(J_),ID_J,iparityI+1,1,energyI-intensity%ZPE,'tau:',iparityI,'j:',nint(J_),'c',1.000_rk,nint((omegaI)),&
ivI,(ilambdaI),nint((sigmaI)),pm,statename
!
else
!
!stop 'not tested'
!
write(my_fmt,'(A,i0,a)') "(i7,1x,i12,1x,i1,1x,i2,1x,f12.",ndecimals,",1x,f7.1,1x,i6,1x,i4,1x,f7.1,1x,a1,1x,a10)"
write(enunit,my_fmt) &
int(J_),ID_J,iparityI+1,1,energyI-intensity%ZPE,omegaI,&
ivI,(ilambdaI),sigmaI,pm,statename
!
endif
!
else
!
ndecimals=6-max(0, int( log10(abs(energyI-intensity%ZPE)+1.d-6)-4) )
if (integer_spin) then
!
write(my_fmt,'(A,i0,a)') "(i12,1x,f12.",ndecimals,",1x,i6,1x,i7,1x,a1,1x,a1,1x,a10,1x,i3,1x,i2,2i8)"
write(enunit,my_fmt) &
iroot,energyI-intensity%ZPE,nint(intensity%gns(isymI)*( 2.0_rk*jI + 1.0_rk )),nint(jI),&
pm,ef,statename,ivI,(ilambdaI),nint((sigmaI)),nint((omegaI))
!
else
!
write(my_fmt,'(A,i0,a)') "(i12,1x,f12.",ndecimals,",1x,i6,1x,f7.1,1x,a1,1x,a1,1x,a10,1x,i3,1x,i2,2f8.1)"
write(enunit,my_fmt) &
iroot,energyI-intensity%ZPE,nint(intensity%gns(isymI)*( 2.0_rk*jI + 1.0_rk )),jI,&
pm,ef,statename,ivI,(ilambdaI),(sigmaI),(omegaI)
!
endif
!
endif
!
endif
!
call energy_filter_upper(jI,energyI,passed)
!
call energy_filter_lower(jI,energyI,passed_)
!
if (.not.passed.and..not.passed_) cycle
!
istateI = eigen(indI,igammaI)%quanta(ilevelI)%istate
parity_gu = poten(istateI)%parity%gu
isymI = correlate_to_Cs(igammaI,parity_gu)
!
nlevelsG(isymI) = nlevelsG(isymI) + 1
!
enddo
enddo
enddo
!
deallocate(vecI)
call ArrayStop('intensity-vecI')
!
if (trim(intensity%linelist_file)/="NONE") close(enunit,status='keep')
!
write(my_fmt,'(A,I0,A)') "('Number of states for each symm = ',", sym%Nrepresen, "i8)"
write(out,my_fmt) nlevelsG(:)
!
matsize = int(sum( nlevelsG(:) ),hik)
!
if (iverbose>=4) write(out,"(/'Dipole moment integration (i)...')")
!
! prescreen all eigenfunctions, compact and store on the disk
!
!call TimerStart('Dipole moment integration (i)')
!
!allocate(vecI(sym%Maxdegen,dimenmax_swap),vecF(sym%Maxdegen,dimenmax), stat = info)
!if (info/=0) stop 'vecI,vecF,icoeffF - out of memory'
!
!allocate(icoeffF(sym%Maxdegen,dimenmax), stat = info)
!
if (Ntransit==0) then
write(out,"('dm_intensity: the transition filters are too tight: no entry')")
stop 'dm_intensity: the filters are too tight'
endif
!
!call TimerStop('Dipole moment integration (i)')
!
write(out,"(/'...done!')")
!
allocate(vecI(dimenmax),vecF(dimenmax), stat = info)
!
call ArrayStart('intensity-vectors',info,size(vecI),kind(vecI))
call ArrayStart('intensity-vectors',info,size(vecF),kind(vecF))
!
! loop over final states -> count states for each symmetry
!
write(my_fmt,'(A,I0,A)') "('Number of states for each symm = ',", sym%Nrepresen, "i8)"
write(out,my_fmt) nlevelsG(:)
!
if (iverbose >= 0) then
write(out,"(' Total number of lower states = ',i8)") nlower
write(out,"(' Total number of transitions = ',i8)") Ntransit
end if
!
if (iverbose >= 0) then
write(out,"(/' Statistical weights gns = ',4f12.1)") intensity%gns(1:)
end if
!
! In order to speed up the line strength evaluation,
! S_if = | <i|mu|f> |^2 = | \sum_{nm} C_in C_fm <n|mu|m> |^2
! in three steps:
! 1. Evaluating the expansion of the i-state
! s_{im} = \sum_{n} C_in <n|mu|m>
! 2. performing the expansion of the final state f:
! s_{if} = \sum_{m} C_fm s_{im}.
! 3. Building S_{if}
! S_{if} = s_{if}^2
!
! The temporaly object s_{im} will be referted to as
! a half-linestrength "half_linestr"
!
allocate(half_linestr(dimenmax),stat=info)
!
call ArrayStart('half_linestr',info,size(half_linestr),kind(half_linestr))
!
! The matrix where some of the eigenvectors will be stored
!
if (iverbose>=5) call MemoryReport
!
write(out,"(/a,a,a,a)") 'Linestrength S(f<-i) [Debye**2],',' Transition moments [Debye],'&
&,'Einstein coefficient A(if) [1/s],','and Intensities [cm/mol]'
!
! Prepare the table header
!
select case (trim(intensity%action))
!
case('ABSORPTION')
!
write(out,"(/t5,'J',t7,'Gamma <-',t18,'J',t21,'Gamma',t27,'Typ',t37,'Ei',t44,'<-',t52,'Ef',t64,'nu_if',&
&8x,'S(f<-i)',10x,'A(if)',12x,'I(f<-i)', &
&7x,'State v lambda sigma omega <- State v lambda sigma omega ')")
dir = '<-'
!
case('EMISSION')
!
write(out,"(/t5,'J',t7,'Gamma ->',t18,'J',t21,'Gamma',t27,'Typ',t37,'Ei',t44,'->',t52,'Ef',t64,'nu_if',&
&8x,'S(i->f)',10x,'A(if)',12x,'I(i->f)', &
&7x,'State v lambda sigma omega -> State v lambda sigma omega ')")
dir = '->'
!
case('TM')
!
write(out,"(/t4,'J',t6,'Gamma <-',t17,'J',t19,'Gamma',t25,'Typ',t35,'Ei',t42,'<-',t52,'Ef',t65,'nu_if',&
&10x,'TM(f->i)')")
!
end select
!
deallocate(vecF)
!
!tid = omp_get_thread_num()
!
!omp parallel private(tid)
! if (tid==0) then
! nprocs_ = omp_get_num_threads()
! endif
!omp end parallel
!
! ---------------------------------
! the actual intensity calculations
! ---------------------------------
!
itransit = 0
!
! loop over initial states
!
do indI = 1, nJ
!
jI = jval(indI)
!
do igammaI=1,Nrepresen
!
nlevelsI = eigen(indI,igammaI)%Nlevels
dimenI = eigen(indI,igammaI)%Ndimen
!
do indF = 1, nJ
!
jF = jval(indF)
if (abs(nint(jI-jF))>1.or.abs(nint(jI+jF))==0) cycle
!
do igammaF=1,Nrepresen
!
!call Jgamma_filter(jI,jF,igammaI,igammaF,igamma_pair,passed)
!if (.not.passed) cycle
!
nlevelsF = eigen(indF,igammaF)%Nlevels
dimenF = eigen(indF,igammaF)%Ndimen
!
!omp parallel do private(ilevelI,jI,energyI,igammaI,quantaI,ilevelF,jF,energyF,igammaF,quantaF,passed) &
! & schedule(guided) reduction(+:Ntransit,nlevelI)
Ilevels_loop : do ilevelI = 1, nlevelsI
!
!energy and and quanta of the final state
!
energyI = eigen(indI,igammaI)%val(ilevelI)