High-quality ab initio quantum chemical methods, including higher-order coupled cluster (CC) and many-body perturbation (MP) theory, explicitly correlated (linear R12) techniques, and full configuration interaction (FCI) benchmarks, with basis sets ranging from [O/H] [3s2p1d/2s1p] to [8s7p6d5f4g3h2i/7s6p5d4f3g2h] have been employed to obtain the best possible value for the barrier to linearity of water. Attention is given to the degree of accord among extrapolations of conventional MP2, CCSD, and CCSD(T) energies to the complete basis set (CBS) limit and corresponding linear R12 schemes for these correlation methods. Small corrections due to one- and two-particle relativistic terms, core correlation effects, and the diagonal Born–Oppenheimer correction (DBOC) have been incorporated. The final electronic (vibrationless) extrapolated barrier height of this study is 11 127±35 cm−1. Anharmonic force fields have been determined at the aug-cc-pCVTZ CCSD(T) level at equilibrium and at a linear reference geometry. These and previous sextic force fields are in general accord with the expansion terms of recent global potential energy hypersurfaces but also highlight some of their weaknesses.

1.
N. F.
Zobov
,
O. L.
Polyansky
,
C. R.
Le Sueur
, and
J.
Tennyson
,
Chem. Phys. Lett.
260
,
381
(
1996
).
2.
O. L.
Polyansky
,
P.
Jensen
, and
J.
Tennyson
,
J. Chem. Phys.
105
,
6490
(
1996
).
3.
A. G.
Császár
,
J. S.
Kain
,
O. L.
Polyansky
,
N. F.
Zobov
, and
J.
Tennyson
,
Chem. Phys. Lett.
293
,
317
(
1998
).
4.
O. L.
Polyansky
,
N. F.
Zobov
,
S.
Viti
,
J.
Tennyson
,
P. F.
Bernath
, and
L.
Wallace
,
Science
277
,
346
(
1997
).
5.
J. H.
Schryber
,
O. L.
Polyansky
,
P.
Jensen
, and
J.
Tennyson
,
J. Mol. Spectrosc.
185
,
234
(
1997
).
6.
H.
Partridge
and
D. W.
Schwenke
,
J. Chem. Phys.
106
,
4618
(
1997
).
7.
G. J.
Harris
,
S.
Viti
,
H. Y.
Mussa
, and
J.
Tennyson
,
J. Chem. Phys.
109
,
7197
(
1998
).
8.
O. L.
Polyansky
,
N. F.
Zobov
,
J.
Tennyson
,
J. A.
Lotoski
, and
P. F.
Bernath
,
J. Mol. Spectrosc.
184
,
35
(
1997
).
9.
O. N.
Ulenikov
and
G. A.
Ushakova
,
J. Mol. Spectrosc.
117
,
195
(
1986
).
10.
(a)
L.
Wallace
,
P.
Bernath
,
W.
Livingstone
,
K.
Hinkle
,
J.
Busler
,
B.
Gou
, and
K.
Zhang
,
Science
268
,
1155
(
1995
);
(b)
T.
Oka
,
Science
277
,
328
(
1997
).
11.
T.
Tsuji
,
Annu. Rev. Astron. Astrophys.
24
,
89
(
1986
).
12.
A. R.
Hoy
,
I. M.
Mills
, and
G.
Strey
,
Mol. Phys.
24
,
1265
(
1972
).
13.
A. G.
Császár
and
I. M.
Mills
,
Spectrochim. Acta A
53
,
1101
(
1996
).
14.
G. S.
Kedziora
and
I.
Shavitt
,
J. Chem. Phys.
106
,
8733
(
1997
).
15.
S.
Carter
and
N. C.
Handy
,
J. Chem. Phys.
87
,
4294
(
1987
).
16.
(a)
O. L.
Polyansky
,
P.
Jensen
, and
J.
Tennyson
,
J. Chem. Phys.
101
,
7651
(
1994
);
(b)
C. D.
Paulse
and
J.
Tennyson
,
J. Mol. Spectrosc.
168
,
271
(
1994
);
(c)
O. L.
Polyansky
,
N. F.
Zobov
,
S.
Viti
,
J.
Tennyson
,
P. F.
Bernath
, and
L.
Wallace
,
J. Mol. Spectrosc.
186
,
422
(
1997
).
17.
P.
Jensen
,
J. Mol. Spectrosc.
133
,
438
(
1989
).
18.
L.
Halonen
and
T.
Carrington
, Jr.
,
J. Chem. Phys.
88
,
4171
(
1988
).
19.
Z.
Bačić
,
D.
Watt
, and
J. C.
Light
,
J. Chem. Phys.
89
,
947
(
1988
).
20.
R. J.
Bartlett
,
S. J.
Cole
,
G. D.
Purvis
,
W. C.
Ermler
,
H. C.
Hsieh
, and
I.
Shavitt
,
J. Chem. Phys.
87
,
6579
(
1987
).
21.
I. M. Mills, in Specialist Periodical Reports, Theoretical Chemistry, edited by R. N. Dixon (The Chemical Society, London, 1974), Vol. 1.
22.
R.
Beardsworth
,
P. R.
Bunker
,
P.
Jensen
, and
W. P.
Kraemer
,
J. Mol. Spectrosc.
118
,
50
(
1986
).
23.
P. R.
Bunker
,
P.
Jensen
,
W. P.
Kraemer
, and
R.
Beardsworth
,
J. Chem. Phys.
85
,
3724
(
1986
).
24.
Y.
Guan
and
C. R.
Quade
,
J. Chem. Phys.
86
,
4808
(
1987
).
25.
G. J.
Sexton
and
N. C.
Handy
,
Mol. Phys.
51
,
1321
(
1984
).
26.
A. G.
Császár
,
W. D.
Allen
, and
H. F.
Schaefer
III
,
J. Chem. Phys.
108
,
9751
(
1998
).
27.
(a)
F.
Jensen
,
Chem. Phys. Lett.
261
,
633
(
1996
);
(b)
J. S.
Lee
,
J. Phys. Chem. A
101
,
8762
(
1997
).
28.
(a)
A. L. L.
East
and
W. D.
Allen
,
J. Chem. Phys.
99
,
4638
(
1993
);
(b) W. D. Allen, A. L. L. East, and A. G. Császár, in Structures and Conformations of Non-Rigid Molecules, edited by J. Laane, M. Dakkouri, B. van der Veken, and H. Oberhammer (Kluwer, Dordrecht, 1993);
(c)
B. D.
Wladkowski
,
W. D.
Allen
, and
J. I.
Brauman
,
J. Phys. Chem.
98
,
13532
(
1994
).
29.
A. G. Császár, Anharmonic Molecular Force Fields, in The Encyclopedia of Computational Chemistry, edited by P. v. R. Schleyer, N. L. Allinger, T. Clark, J. Gasteiger, P. A. Kollmann, H. F. Schaefer III, and P. R. Schreiner (Wiley, Chichester, 1998).
30.
J. F.
Stanton
,
J.
Gauss
,
J. D.
Watts
,
W. J.
Lauderdale
, and
R. J.
Bartlett
,
Int. J. Quantum Chem., Quantum Chem. Symp.
26
,
897
(
1992
).
31.
C. L. Janssen, E. T. Seidl, G. E. Scuseria, T. P. Hamilton, Y. Yamaguchi, R. B. Remington, Y. Xie, G. Vacek, C. D. Sherrill, T. D. Crawford, J. T. Fermann, W. D. Allen, B. R. Brooks, G. B. Fitzgerald, D. J. Fox, J. F. Gaw, N. C. Handy, W. D. Laidig, T. J. Lee, R. M. Pitzer, J. E. Rice, P. Saxe, A. C. Scheiner, and H. F. Schaefer III, PSI 2.0.8, PSITECH Inc., Watkinsville, Georgia, 1994.
32.
M. J. Frisch et al., GAUSSIAN 94, Revision B.2, Gaussian, Inc., Pittsburgh, Pennsylvania, 1995.
33.
SORE program, second-order r12 energy, written by W. Klopper.
34.
(a) DIRCCR12 program, written by J. Noga and W. Klopper;
(b)
W.
Klopper
and
J.
Noga
,
J. Chem. Phys.
103
,
6127
(
1995
).
35.
W. Klopper, r12Dependent Wave Functions, in The Encyclopedia of Computational Chemistry, edited by P. v. R. Schleyer, N. L. Allinger, T. Clark, J. Gasteigen, P. A. Kollmann, H. F. Schaefer III, and P. R. Schreiner (Wiley, Chichester, 1998).
36.
(a)
C. C. J.
Roothaan
,
Rev. Mod. Phys.
23
,
69
(
1951
);
(b) W. J. Hehre, L. Radom, P. v. R. Schleyer, and J. A. Pople, Ab Initio Molecular Orbital Theory (Wiley–Interscience, New York, 1986).
37.
(a)
J. A.
Pople
,
J. S.
Binkley
, and
R.
Seeger
,
Int. J. Quantum Chem., Symp.
10
,
1
(
1976
);
(b)
R.
Krishnan
,
M. J.
Frisch
, and
J. A.
Pople
,
J. Chem. Phys.
72
,
4244
(
1980
);
(c)
K.
Raghavachari
,
J. A.
Pople
,
E. S.
Replogle
, and
M.
Head-Gordon
,
J. Phys. Chem.
94
,
5579
(
1990
).
38.
R. J.
Bartlett
,
Annu. Rev. Phys. Chem.
32
,
359
(
1981
).
39.
(a)
G. E.
Scuseria
,
A. C.
Scheiner
,
T. J.
Lee
,
J. E.
Rice
, and
H. F.
Schaefer III
,
J. Chem. Phys.
86
,
2881
(
1987
);
(b)
A. C.
Scheiner
,
G. E.
Scuseria
,
J. E.
Rice
,
T. J.
Lee
, and
H. F.
Schaefer III
,
J. Chem. Phys.
87
,
5361
(
1987
).
40.
(a)
J.
Noga
and
R. J.
Bartlett
,
J. Chem. Phys.
86
,
7041
(
1987
);
(b)
G. E.
Scuseria
and
H. F.
Schaefer III
,
Chem. Phys. Lett.
152
,
382
(
1988
).
41.
I. Shavitt, in Methods of Electronic Structure Theory, edited by H. F. Schaefer III (Plenum, New York, 1977).
42.
(a)
K.
Raghavachari
,
G. W.
Trucks
,
J. A.
Pople
, and
M.
Head-Gordon
,
Chem. Phys. Lett.
157
,
479
(
1989
);
(b)
G. E.
Scuseria
and
T. J.
Lee
,
J. Chem. Phys.
93
,
5851
(
1990
).
43.
N. C.
Handy
,
J. A.
Pople
,
M.
Head-Gordon
,
K.
Raghavachari
, and
G. W.
Trucks
,
Chem. Phys. Lett.
164
,
185
(
1989
).
44.
C. E.
Dykstra
,
Chem. Phys. Lett.
45
,
466
(
1977
).
45.
(a)
O.
Goscinski
,
Int. J. Quantum Chem.
1
,
769
(
1967
);
(b)
N. C.
Handy
,
P. J.
Knowles
, and
K.
Somasundram
,
Theor. Chim. Acta
68
,
87
(
1985
);
(c)
W. D.
Laidig
,
G.
Fitzgerald
, and
R. J.
Bartlett
,
Chem. Phys. Lett.
113
,
151
(
1985
).
46.
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
90
,
1007
(
1989
);
R. A.
Kendall
,
T. H.
Dunning
,Jr.
, and
R. J.
Harrison
,
J. Chem. Phys.
96
,
6796
(
1992
);
D. E.
Woon
and
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
98
,
1358
(
1993
);
D. E.
Woon
and
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
100
,
2975
(
1994
);
D. E.
Woon
and
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
103
,
4572
(
1995
);
A. K.
Wilson
,
T. v.
Mourik
, and
T. H.
Dunning
, Jr.
,
J. Mol. Struct., THEOCHEM
388
,
339
(
1997
).
47.
Program DETCI, written by C. D. Sherrill and M. L. Leininger.
48.
(a)
V.
Bakken
,
T.
Helgaker
,
W.
Klopper
, and
K.
Ruud
,
Mol. Phys.
96
,
653
(
1999
);
(b) see Table IX of
W.
Klopper
,
J. Chem. Phys.
102
,
6168
(
1995
).
49.
Structure Data of Free Polyatomic Molecules, edited by K. Kuchitsu (Springer, Berlin, 1995), Vol. 23.
50.
I. M. B.
Nielsen
,
W. D.
Allen
,
A. G.
Császár
, and
H. F.
Schaefer
III
,
J. Chem. Phys.
107
,
1195
(
1997
).
51.
W.
Klopper
and
W.
Kutzelnigg
,
Chem. Phys. Lett.
134
,
17
(
1987
).
52.
J.
Noga
and
W.
Kutzelnigg
,
J. Chem. Phys.
101
,
7738
(
1994
).
53.
W.
Klopper
and
J.
Noga
,
J. Chem. Phys.
103
,
6127
(
1995
).
54.
R. J.
Gdanitz
,
Chem. Phys. Lett.
210
,
253
(
1993
).
55.
R.
Bukowski
,
B.
Jeziorski
,
S.
Rybak
, and
K.
Szalewicz
,
J. Chem. Phys.
102
,
888
(
1995
).
56.
H. F.
King
,
J. Chem. Phys.
46
,
705
(
1967
).
57.
J.
Olsen
,
O.
Christiansen
,
H.
Koch
, and
P.
Jørgensen
,
J. Chem. Phys.
105
,
5082
(
1996
).
58.
W.
Kutzelnigg
,
Theor. Chim. Acta
68
,
445
(
1985
).
59.
D.
Feller
,
J. Chem. Phys.
96
,
6104
(
1992
);
D.
Feller
,
J. Chem. Phys.
98
,
7059
(
1993
).
60.
T.
Helgaker
,
W.
Klopper
,
H.
Koch
, and
J.
Noga
,
J. Chem. Phys.
106
,
9639
(
1997
).
61.
(a)
C.
Schwartz
,
Phys. Rev.
126
,
1015
(
1962
);
(b)
D. P.
Carroll
,
H. J.
Silverstone
, and
R. M.
Metzger
,
J. Chem. Phys.
71
,
4142
(
1979
).
62.
R. N.
Hill
,
J. Chem. Phys.
83
,
1173
(
1985
).
63.
A.
Halkier
,
T.
Helgaker
,
P.
Jørgensen
,
W.
Klopper
,
H.
Koch
,
J.
Olsen
, and
A. K.
Wilson
,
Chem. Phys. Lett.
286
,
243
(
1998
).
64.
A. G.
Császár
,
J. Phys. Chem.
98
,
8823
(
1994
).
65.
J. M. L.
Martin
and
P. R.
Taylor
,
Chem. Phys. Lett.
225
,
473
(
1994
).
66.
A. G.
Császár
and
W. D.
Allen
,
J. Chem. Phys.
104
,
2746
(
1996
).
67.
K. Balasubramanian, Relativistic Effects in Chemistry, Part A: Theory and Techniques (Wiley, New York, 1997).
68.
W.
Klopper
,
J. Comput. Chem.
18
,
20
(
1997
).
69.
H. M.
Quiney
,
H.
Skaane
, and
I. P.
Grant
,
Chem. Phys. Lett.
290
,
473
(
1998
).
70.
N. C.
Handy
,
Y.
Yamaguchi
, and
H. F.
Schaefer
III
,
J. Chem. Phys.
84
,
4481
(
1986
).
71.
(a)
J. K. G.
Watson
,
J. Mol. Spectrosc.
41
,
229
(
1972
);
(b)
X-F.
Zhou
and
P.
Pulay
,
J. Comput. Chem.
10
,
935
(
1989
);
(c)
A. G.
Császár
,
J. Phys. Chem.
96
,
7898
(
1992
).
72.
C. Lanczos, Applied Analysis (Prentice–Hall, Englewood Cliffs, 1956).
73.
W. D.
Allen
and
A. G.
Császár
,
J. Chem. Phys.
98
,
2983
(
1993
).
74.
J. P.
Foster
and
F.
Weinhold
,
J. Am. Chem. Soc.
102
,
7211
(
1980
). This paper provides a firm physical basis for determining a unique set of atomic hybrids and bond orbitals in a given molecule. The resulting “natural hybrid orbitals” are often substantially different from the classic “nominal” hybrids, but in the case of H2O the essential trends in %(s,p) character upon bending are retained.
75.
H. A.
Bent
,
Chem. Rev.
61
,
275
(
1961
).
76.
Z.
Bačić
and
J. C.
Light
,
J. Chem. Phys.
86
,
3065
(
1987
).
77.
(a)
H. H.
Nielsen
,
Rev. Mod. Phys.
23
,
90
(
1951
);
(b) D. Papoušek and M. R. Aliev, Molecular Rotational-Vibrational Spectra (Elsevier, Amsterdam, 1982);
(c)
D. A.
Clabo
,Jr.
,
W. D.
Allen
,
R. B.
Remington
,
Y.
Yamaguchi
, and
H. F.
Schaefer
 III
,
Chem. Phys.
123
,
187
(
1988
);
(d)
W. D.
Allen
,
Y.
Yamaguchi
,
A. G.
Császár
,
D. A.
Clabo
, Jr.
,
R. B.
Remington
, and
H. F.
Schaefer
, III
,
Chem. Phys.
145
,
427
(
1990
).
78.
(a)
V.
Szalay
,
J. Mol. Spectrosc.
128
,
24
(
1988
);
V.
Szalay
,
J. Chem. Phys.
92
,
3633
(
1990
).
79.
INTDER is a set of programs written by W. D. Allen and co-workers which performs various vibrational analysis and higher-order nonlinear transformations among force field representations.
80.
A. Willetts, J. F. Gaw, W. H. Green, Jr., and N. C. Handy, SPECTRO, a second-order rovibrational perturbation theory program, version 3.0, University Chemical Laboratory, Cambridge, United Kingdom, 1994.
81.
(a)
I. M.
Mills
and
A. G.
Robiette
,
Mol. Phys.
56
,
743
(
1985
);
(b)
R. G.
Della Valle
,
Mol. Phys.
63
,
611
(
1988
).
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