We investigate the molecular dynamics of pyrazine after excitation to the S2 electronic state by using the time-dependent discrete variable representation (TDDVR) method. The investigation has been carried out with a realistic 24-mode model Hamiltonian consisting of all the vibrational degrees of freedom of pyrazine molecule. First, we perform the simulation on a basic four-mode model, and then by including additional eight important modes and finally, by introducing 20 bath modes on the basic model. This sequential inclusion of bath modes demonstrates the effect of weak modes on the subsystem, where the calculations of energy and population transfer from basic model to the bath quantify the same effect. The spectral profile obtained by using TDDVR approach shows reasonably good agreement with the results calculated by quantum mechanical approach. It appears that the TDDVR approach for those large systems where quantum mechanical description is needed in a restricted region is a good compromise between accuracy and speed.

1.
G.
Herzberg
and
H. C.
Longuet-Higgins
,
Discuss. Faraday Soc.
35
,
77
(
1963
).
2.
3.
J. C.
Tully
and
R. K.
Preston
,
J. Chem. Phys.
55
,
562
(
1971
).
4.
T.
Carrington
,
Faraday Discuss. Chem. Soc.
53
,
27
(
1972
).
5.
W. H.
Miller
and
T. F.
George
,
J. Chem. Phys.
56
,
5637
(
1972
).
6.
E. R.
Davidson
,
J. Am. Chem. Soc.
99
,
397
(
1977
).
7.
N. C.
Blais
and
D. G.
Truhlar
,
J. Chem. Phys.
79
,
1334
(
1983
).
8.
H.
Köppel
,
W.
Domcke
, and
L. S.
Cederbaum
,
Adv. Chem. Phys.
57
,
59
(
1984
);
L. S.
Cederbaum
,
W.
Domcke
,
H.
Köppel
, and
W.
Von Niessen
,
Chem. Phys.
26
,
169
(
1977
).
9.
B.
Carmeli
and
D.
Chandler
,
J. Chem. Phys.
82
,
3400
(
1985
).
10.
S.
Sawada
and
H.
Metiu
,
J. Chem. Phys.
84
,
227
(
1968
);
B.
Jackson
and
H.
Metiu
,
J. Chem. Phys.
85
,
4129
(
1986
).
11.
H.
Nakamura
,
J. Chem. Phys.
87
,
4031
(
1987
).
12.
J. R.
Stine
and
J. T.
Muckerman
,
J. Chem. Phys.
65
,
3975
(
1976
);
J. R.
Stine
and
J. T.
Muckerman
,
J. Phys. Chem.
91
,
459
(
1987
).
13.
J. C.
Tully
,
J. Chem. Phys.
93
,
1061
(
1990
).
14.
M.
Gilibert
and
M.
Baer
,
J. Phys. Chem.
98
,
12822
(
1994
).
15.
G.
Schatz
,
J. Phys. Chem.
99
,
7522
(
1995
).
16.
G.
Stock
,
J. Chem. Phys.
103
,
2888
(
1995
).
17.
M.
Baer
and
R.
Englman
,
Chem. Phys. Lett.
265
,
105
(
1996
).
18.
G.
Stock
and
M.
Thoss
,
Phys. Rev. Lett.
78
,
578
(
1997
).
19.
X.
Sun
and
W. H.
Miller
,
J. Chem. Phys.
106
,
6346
(
1997
).
20.
S.
Adhikari
and
G. D.
Billing
,
J. Chem. Phys.
107
,
6313
(
1997
).
21.
S.
Adhikari
and
G. D.
Billing
,
Chem. Phys. Lett.
284
,
31
(
1998
);
S.
Adhikari
and
G. D.
Billing
,
Chem. Phys. Lett.
289
,
219
(
1998
);
S.
Adhikari
and
G. D.
Billing
,
Chem. Phys. Lett.
305
,
109
(
1999
).
22.
M.
Baer
,
J. Chem. Phys.
107
,
10662
(
1997
).
23.
R.
Baer
,
D. M.
Charutz
,
R.
Kosloff
, and
M.
Baer
,
J. Chem. Phys.
105
,
9141
(
1996
).
24.
S.
Adhikari
and
G. D.
Billing
,
J. Chem. Phys.
111
,
40
(
1999
).
25.
M.
Baer
and
A.
Alijah
,
Chem. Phys. Lett.
319
,
489
(
2000
).
26.
M.
Baer
,
J. Phys. Chem. A
104
,
3181
(
2000
).
27.
M.
Baer
,
S. H.
Lin
,
A.
Alijah
,
S.
Adhikari
, and
G. D.
Billing
,
Phys. Rev. A
62
,
032506
(
2000
).
28.
S.
Adhikari
,
G. D.
Billing
,
A.
Alijah
,
S. H.
Lin
, and
M.
Baer
,
Phys. Rev. A
62
,
032507
(
2000
).
29.
S.
Adhikari
and
G. D.
Billing
,
Adv. Chem. Phys.
124
,
143
(
2002
).
30.
B.
Sarkar
and
S.
Adhikari
,
J. Chem. Phys.
124
,
074101
(
2006
).
31.
G.
Schatz
and
M. A.
Ratner
,
Quantum Mechanics in Chemistry
(
Prentice Hall
,
Englewood Cliffs, NJ
,
1993
).
32.
E. J.
Heller
,
J. Chem. Phys.
62
,
1544
(
1975
).
33.
S. Y.
Lee
and
E. J.
Heller
,
J. Chem. Phys.
76
,
3035
(
1982
).
36.
R. D.
Coalson
and
M.
Karplus
,
Chem. Phys. Lett.
90
,
301
(
1982
).
37.
J.
Kucar
and
H.-D.
Meyer
,
J. Chem. Phys.
90
,
5566
(
1989
).
38.
D.
Hsu
and
D. F.
Coker
,
J. Chem. Phys.
96
,
4266
(
1992
).
39.
K. B.
Møller
and
N. E.
Henriksen
,
J. Chem. Phys.
105
,
5037
(
1996
).
40.
G. D.
Billing
,
J. Chem. Phys.
107
,
4286
(
1997
).
41.
S.
Adhikari
and
G. D.
Billing
,
Chem. Phys. Lett.
305
,
109
(
1999
).
42.
S.
Adhikari
and
G. D.
Billing
,
J. Chem. Phys.
111
,
48
(
1999
).
43.
S.
Adhikari
and
G. D.
Billing
,
Chem. Phys. Lett.
309
,
249
(
1999
).
44.
S.
Adhikari
and
G. D.
Billing
,
J. Chem. Phys.
113
,
1409
(
2000
).
45.
G. D.
Billing
and
S.
Adhikari
,
Chem. Phys. Lett.
321
,
197
(
2000
).
46.
B.
Barkakaty
and
S.
Adhikari
,
J. Chem. Phys.
118
,
5302
(
2003
).
47.
P.
Puzari
,
S.
Deshpande
, and
S.
Adhikari
,
Chem. Phys.
300
,
305
(
2004
).
48.
P.
Puzari
and
S.
Adhikari
,
Int. J. Quantum Chem.
98
,
434
(
2004
).
49.
P.
Puzari
,
B.
Sarkar
, and
S.
Adhikari
,
J. Chem. Phys.
121
,
707
(
2004
).
50.
P.
Puzari
,
B.
Sarkar
, and
S.
Adhikari
,
Int. J. Quantum Chem.
105
,
209
(
2005
).
51.
P.
Puzari
,
R. S.
Swathi
,
B.
Sarkar
, and
S.
Adhikari
,
J. Chem. Phys.
123
,
134317
(
2005
).
52.
P.
Puzari
,
B.
Sarkar
, and
S.
Adhikari
,
Chem. Phys.
324
,
497
(
2006
).
53.
J. V.
Lill
,
G. A.
Parker
, and
J. C.
Light
,
Chem. Phys. Lett.
89
,
483
(
1982
).
54.
R. W.
Heather
and
J. C.
Light
,
J. Chem. Phys.
79
,
147
(
1983
).
55.
J. V.
Lill
, Ph.D. thesis,
University of Chicago
,
1982
.
56.
J. C.
Light
,
I. P.
Hamilton
, and
J. V.
Lill
,
J. Chem. Phys.
82
,
1400
(
1985
).
57.
Z.
Bacic
and
J. C.
Light
,
Annu. Rev. Phys. Chem.
40
,
469
(
1989
).
58.
D.
Kosloff
and
R.
Kosloff
,
J. Comput. Phys.
52
,
35
(
1983
).
59.
D. J.
Tannor
,
A.
Besprozvannaya
, and
C. J.
Williams
,
J. Chem. Phys.
96
,
2998
(
1992
).
60.
H.
Guo
,
J. Chem. Phys.
96
,
6629
(
1992
).
61.
E.
Sim
and
N.
Makri
,
J. Chem. Phys.
102
,
5616
(
1995
).
62.
D. J.
Kouri
,
X.
Ma
,
W.
Zhu
,
B. M.
Petit
, and
D. K.
Hoffman
,
J. Phys. Chem.
96
,
9622
(
1992
);
Y.
Huang
,
D. J.
Kouri
,
M.
Arnold
,
T. L.
Marchioro
 II
, and
D. K.
Hoffman
,
J. Chem. Phys.
99
,
1028
(
1993
).
63.
C.
Woywood
,
W.
Domcke
,
A. L.
Sobolewski
, and
H.-J.
Werner
,
J. Chem. Phys.
100
,
1400
(
1994
);
R.
Schneider
and
W.
Domcke
,
Chem. Phys. Lett.
150
,
235
(
1988
);
G.
Stock
and
W.
Domcke
,
J. Chem. Phys.
93
,
5496
(
1990
).
64.
M.
Peric
,
S. D.
Peyerimhoff
, and
R. J.
Buenher
,
Z. Phys. D: At., Mol. Clusters
24
,
177
(
1992
).
65.
S.
Krempl
,
M.
Winterstetter
,
H.
Plöhn
, and
W.
Domcke
,
J. Chem. Phys.
100
,
926
(
1994
).
66.
G.
Stock
,
C.
Woywood
,
W.
Domcke
,
T.
Swinney
, and
B. S.
Hudson
,
J. Chem. Phys.
103
,
6851
(
1995
).
67.
A.
Raab
,
G. A.
Worth
,
H.-D.
Meyer
, and
L. S.
Cederbaum
,
J. Chem. Phys.
110
,
936
(
1999
).
68.
G. A.
Worth
,
H.-D.
Meyer
, and
L. S.
Cederbaum
,
J. Chem. Phys.
109
,
3518
(
1998
).
69.
G. A.
Worth
,
H.-D.
Meyer
, and
L. S.
Cederbaum
,
Chem. Phys. Lett.
299
,
451
(
1999
).
70.
G. A.
Worth
,
H.-D.
Meyer
, and
L. S.
Cederbaum
,
J. Chem. Phys.
105
,
4412
(
1996
).
71.
M.
Thoss
,
W. H.
Miller
, and
G.
Stock
,
J. Chem. Phys.
112
,
10282
(
2000
).
72.
G.
Stock
and
M.
Thoss
,
Adv. Chem. Phys.
131
,
243
(
2005
).
73.
C.
Coletti
and
G. D.
Billing
,
Chem. Phys. Lett.
368
,
289
(
2003
).
74.
I.
Yamazaki
,
T.
Murao
,
T.
Yamanaka
, and
K.
Yoshihara
,
Faraday Discuss. Chem. Soc.
75
,
395
(
1983
).
75.
P. A. M.
Dirac
,
Proc. Cambridge Philos. Soc.
26
,
376
(
1930
).
76.
77.
H.-D.
Meyer
,
U.
Manthe
, and
L. S.
Cederbaum
,
Chem. Phys. Lett.
165
,
73
(
1990
).
78.
U.
Manthe
,
H.-D.
Meyer
, and
L. S.
Cederbaum
,
J. Chem. Phys.
97
,
3199
(
1992
).
79.
H.-D.
Meyer
, in
The Encyclopedia of Computational Chemistry
, edited by
P. von Rague
Schleyer
,
P. R.
Schreiner
,
N. L.
Allinger
,
T.
Clark
,
J.
Gasteiger
,
P.
Kollman
, and
H. F.
Schaefer
, III
(
Wiley
,
New York
,
1998
).
80.
M. H.
Beck
,
A.
Jäckle
,
G. A.
Worth
, and
H.-D.
Meyer
,
Phys. Rep.
324
,
1
(
2000
).
81.
U.
Manthe
,
J. Chem. Phys.
105
,
6989
(
1996
).
82.
R. v.
Harrevelt
and
U.
Manthe
,
J. Chem. Phys.
123
,
064106
(
2005
).
You do not currently have access to this content.