Two recently developed methods for solving the molecular vibrational Schrödinger equation, namely, the parallel vibrational multiple window configuration interaction and the vibrational mean field configuration interaction, are presented and compared on the same potential energy surface of ethylene oxide, c-C2H4O. It is demonstrated on this heptatomic system with strong resonances that both approaches converge towards the same fundamental frequencies. This confirms their ability to tackle the vibrational problem of large molecules for which full configuration interaction calculations are not tractable.

1.
J. M.
Bowman
,
J. Chem. Phys.
68
,
608
(
1978
).
2.
G. D.
Carney
,
L. L.
Sprandel
, and
C. W.
Kern
, in
Advances in Chemical Physics
, edited by
I.
Prigogine
and
S. A.
Rice
(
Wiley
,
New York
,
1978
), Vol.
37
, pp.
305
379
.
3.
R. B.
Gerber
and
M. A.
Ratner
,
Chem. Phys. Lett.
68
,
195
(
1979
).
4.
J. M.
Bowman
,
Acc. Chem. Res.
19
,
202
(
1986
).
5.
G. M.
Chaban
,
J. O.
Jung
, and
R. B.
Gerber
,
J. Chem. Phys.
111
,
1823
(
1999
).
6.
N. J.
Wright
and
R. B.
Gerber
,
J. Chem. Phys.
114
,
8763
(
2001
).
7.
J. M.
Bowman
,
K.
Christoffel
, and
F.
Tobin
,
J. Phys. Chem.
83
,
905
(
1979
).
8.
K. M.
Christoffel
and
J. M.
Bowman
,
Chem. Phys. Lett.
85
,
220
(
1982
).
9.
H.
Romanowski
,
J. M.
Bowman
, and
L. B.
Harding
,
J. Chem. Phys.
82
,
4155
(
1985
).
10.
K. M.
Dunn
,
J. E.
Boggs
, and
P.
Pulay
,
J. Chem. Phys.
85
,
5838
(
1986
).
11.
A.
Niño
and
C.
Muñoz-Caro
,
Comput. Chem. (Oxford)
19
,
371
(
1995
).
12.
C.
Muñoz-Caro
and
A.
Niño
, QCPE Program No. 665.
13.
S.
Carter
and
J. M.
Bowman
, in
Rovibrational Bound States in Polyatomic Molecules
, edited by
M. M.
Law
,
I. A.
Atkinson
, and
J. M.
Hutson
(
CCP6
,
Daresbury
,
1999
), pp.
60
67
.
14.
F.
Gatti
,
C.
Iung
,
C.
Leforestier
, and
X.
Chapuisat
,
J. Chem. Phys.
111
,
7236
(
1999
).
15.
A.
Viel
and
C.
Leforestier
,
J. Chem. Phys.
112
,
1212
(
2000
).
16.
J. C.
Light
and
T.
Carrington
,
Adv. Chem. Phys.
114
,
263
(
2000
).
17.
H.-G.
Yu
,
J. Chem. Phys.
121
,
6334
(
2004
).
18.
H.-S.
Lee
and
J. C.
Light
,
J. Chem. Phys.
120
,
4626
(
2004
).
19.
R.
Dawes
and
T.
Carrington
,
J. Chem. Phys.
122
,
134101
(
2005
).
20.
P.
Cassam-Chenaï
and
J.
Liévin
,
Int. J. Quantum Chem.
93
,
245
(
2003
).
21.
P.
Cassam-Chenaï
,
J. Quant. Spectrosc. Radiat. Transf.
82
,
251
(
2003
).
22.
P.
Cassam-Chenaï
and
J.
Liévin
,
J. Comput. Chem.
27
,
627
(
2006
).
23.
S.
Brodersen
and
J.-E.
Lolck
,
J. Mol. Spectrosc.
126
,
405
(
1987
).
24.
C.
Pouchan
and
K.
Zaki
,
J. Chem. Phys.
107
,
342
(
1997
).
25.
I.
Baraille
,
C.
Larrieu
,
A.
Dargelos
, and
M.
Chaillet
,
Chem. Phys.
273
,
91
(
2001
).
26.
F.
Ribeiro
,
C.
Iung
, and
C.
Leforestier
,
J. Chem. Phys.
123
,
054106
(
2005
).
27.
N.
Gohaud
,
D.
Bégué
,
C.
Darrigan
, and
C.
Pouchan
,
J. Comput. Chem.
26
,
743
(
2005
).
28.
D.
Bégué
,
N.
Gohaud
,
R.
Brown
, and
C.
Pouchan
,
J. Math. Chem.
40
,
197
(
2006
).
29.
L. B.
Harding
and
W. C.
Ermler
,
J. Comput. Chem.
6
,
13
(
1985
).
30.
J. F.
Gaw
,
A.
Willets
,
W. H.
Green
, and
N. C.
Handy
, in
Advances in Molecular Vibrations and Collision Dynamics
, edited by
J.
Bowman
(
JAI
,
Greenwich, CN
,
1991
).
31.
N.
Matsunaga
,
G. M.
Chaban
, and
R. B.
Gerber
,
J. Chem. Phys.
117
,
3541
(
2002
).
33.
V.
Barone
,
G.
Festa
,
A.
Grandi
,
N.
Rega
, and
N.
Sanna
,
Chem. Phys. Lett.
388
,
279
(
2004
).
34.
V.
Barone
,
J. Chem. Phys.
122
,
014108
(
2005
).
35.
G. A.
Arteca
,
F. M.
Fernàndez
, and
E. A.
Castro
,
Large Order Perturbation Theory and Summation Methods in Quantum Mechanics
,
Lecture Notes in Chemistry
Vol.
53
(
Springer-Verlag
,
Berlin
,
1990
).
36.
E. J.
Weniger
,
Ann. Phys. (N.Y.)
246
,
133
(
1996
).
37.
O.
Christiansen
,
J. Chem. Phys.
120
,
2149
(
2004
).
38.
O.
Christiansen
,
Phys. Chem. Chem. Phys.
9
,
2942
(
2007
).
39.
E. A.
Hylleraas
and
B.
Undheim
,
Z. Phys.
65
,
759
(
1930
).
40.
J. K. L.
MacDonald
,
Phys. Rev.
43
,
830
(
1933
).
41.
J. E.
Dickens
,
W. M.
Irvine
,
M.
Ohishi
,
M.
Ikeda
,
S.
Ishikawa
,
A.
Nummelin
, and
A.
Hjalmarson
,
Astrophys. J.
489
,
753
(
1997
).
42.
A.
Nummelin
,
J. E.
Dickens
,
P.
Bergman
,
A.
Hjalmarson
,
W. M.
Irvine
,
M.
Ikeda
, and
M.
Ohishi
,
Astron. Astrophys.
337
,
275
(
1998
).
43.
J.
Pan
,
S.
Albert
,
K. V. L. N.
Sastry
,
E.
Herbst
, and
F. C.
de Lucia
,
Astrophys. J.
499
,
517
(
1998
).
44.
M.
Ikeda
,
M.
Ohishi
,
A.
Nummelin
,
J. E.
Dickens
,
P.
Bergman
,
Å.
Hjalmarson
, and
W. M.
Irvine
,
Astrophys. J.
560
,
792
(
2001
).
45.
M.
Ikeda
,
M.
Ohishi
,
A.
Nummelin
,
J. E.
Dickens
,
P.
Bergman
,
Å.
Hjalmarson
, and
W. M.
Irvine
,
Astrophys. J.
571
,
560
(
2002
).
46.
S.
Chandra
,
Astron. Astrophys.
402
,
1
(
2003
).
47.
A.
Schriver
,
J. M.
Coanga
,
L.
Schriver-Mazzuoli
, and
P.
Ehrenfreund
,
Chem. Phys.
303
,
13
(
2004
).
48.
A. A.
Stuchebrukhov
and
R. A.
Marcus
,
J. Chem. Phys.
98
,
6044
(
1993
).
49.
A.
Mehta
,
A. A.
Stuchebrukhov
, and
R. A.
Marcus
,
J. Phys. Chem.
99
,
2677
(
1995
).
50.
R. E.
Wyatt
,
C.
Iung
, and
C.
Leforestier
,
Acc. Chem. Res.
28
,
423
(
1995
).
51.
J.
Chang
and
R. E.
Wyatt
,
Chem. Phys. Lett.
121
,
307
(
1985
).
52.
J.
Chang
,
N.
Moiseyev
, and
R. E.
Wyatt
,
J. Chem. Phys.
84
,
4997
(
1986
).
53.
R. E.
Wyatt
,
Phys. Rev. E
51
,
3643
(
1995
).
54.
T. J.
Minehardt
,
J. D.
Adcock
, and
R. E.
Wyatt
,
Phys. Rev. E
56
,
4837
(
1997
).
55.
D.
Bégué
,
S.
Elissalde
,
E.
Péré
,
P.
Iratçabal
, and
C.
Pouchan
,
J. Phys. Chem. A
110
,
7793
(
2006
).
56.
G. G.
Balint-Kurti
and
P.
Pulay
,
J. Mol. Struct.: THEOCHEM
341
,
1
(
1995
).
57.
J. M.
Bowman
and
B.
Gazdy
,
J. Chem. Phys.
94
,
454
(
1991
).
58.
M. H.
Beck
,
A.
Jäckle
,
G. A.
Worth
, and
H.-D.
Meyer
,
Phys. Rep.
324
,
1
(
2000
).
59.
B.
Maessen
and
M.
Wolfsberg
,
J. Phys. Chem.
89
,
3876
(
1985
).
60.
C. L.
Chen
,
B.
Maessen
, and
M.
Wolfsberg
,
J. Chem. Phys.
83
,
1795
(
1985
).
61.
62.
S.
Carter
and
N. C.
Handy
,
Comput. Phys. Rep.
5
,
15
(
1986
).
63.
Z.
Bačić
and
J. C.
Light
,
Annu. Rev. Phys. Chem.
40
,
469
(
1989
).
64.
X.-G.
Wang
and
T.
Carrington
 Jr.
,
J. Chem. Phys.
117
,
6923
(
2002
).
65.
X.-G.
Wang
and
T.
Carrington
 Jr.
,
J. Chem. Phys.
119
,
101
(
2003
).
66.
X.-G.
Wang
and
T.
Carrington
 Jr.
,
Int. J. Quantum Chem.
99
,
556
(
2004
).
67.
X.-G.
Wang
and
T.
Carrington
 Jr.
,
J. Chem. Phys.
121
,
2937
(
2004
).
68.
T. J.
Lee
,
J. M. L.
Martin
, and
P. R.
Taylor
,
J. Chem. Phys.
102
,
254
(
1995
).
69.
J. K. G.
Watson
,
Mol. Phys.
15
,
479
(
1968
).
70.
R.
Burcl
,
S.
Carter
, and
N. C.
Handy
,
Chem. Phys. Lett.
373
,
357
(
2003
).
71.
R. C.
Lord
and
B.
Nolin
,
J. Chem. Phys.
24
,
656
(
1956
), and references therein.
72.
N.
Yoshimizu
,
C.
Hirose
, and
S.
Maeda
,
Bull. Chem. Soc. Jpn.
48
,
3529
(
1975
).
73.
T.
Nakanaga
,
J. Chem. Phys.
73
,
5451
(
1980
), and references therein.
74.
T.
Nakanaga
,
J. Chem. Phys.
74
,
5384
(
1981
).
75.
N. W.
Cant
and
W. J.
Armstead
,
Spectrochim. Acta, Part A
31
,
839
(
1975
).
76.
J. E.
Bertie
and
S. M.
Jacobs
,
J. Chem. Phys.
68
,
97
(
1978
).
77.
M. A.
Lowe
,
J. S.
Alper
,
R.
Kawiecki
, and
P. J.
Stephens
,
J. Phys. Chem.
90
,
41
(
1986
).
78.
K.
Frimand
and
K. J.
Jalkanen
,
Chem. Phys.
279
,
161
(
2002
).
79.
D.
Bégué
,
Ph.
Carbonnière
, and
C.
Pouchan
,
J. Phys. Chem. A
109
,
4611
(
2005
).
80.
A. D.
Boese
,
W.
Klopper
, and
J. M. L.
Martin
,
Int. J. Quantum Chem.
104
,
830
(
2005
).
81.
P.
Carbonniere
,
T.
Lucca
,
C.
Pouchan
,
N.
Rega
, and
V.
Barone
,
J. Comput. Chem.
384
,
26
(
2005
).
82.
P.
Carbonnière
,
D.
Bégué
,
A.
Dargelos
, and
C.
Pouchan
,
Chem. Phys.
300
,
41
(
2004
).
83.
R.
Dawes
,
D. L.
Thompson
,
Y.
Guo
,
A. F.
Wagner
, and
M.
Minkoff
,
J. Chem. Phys.
126
,
184108
(
2007
).
84.
See EPAPS Document No. E-JCPSA6-127-005741 for the CCSD(T)/cc-pVTZ quadratic force constants and B3LYP/6-31+G(d,p) cubic and quartic force constants of ethylene oxide. This document can be reached through a direct link in the online article’s HTML reference section or via the EPAPS homepage (http://www.aip.org/pubservs/epaps.html).

Supplementary Material

You do not currently have access to this content.