An accurate description of the electrical properties of atoms and molecules is critical for quantitative predictions of the nonlinear properties of molecules and of long‐range atomic and molecular interactions between both neutral and charged species. We report a systematic study of the basis sets required to obtain accurate correlated values for the static dipole (α1), quadrupole (α2), and octopole (α3) polarizabilities and the hyperpolarizability (γ) of the rare gas atoms He, Ne, and Ar. Several methods of correlation treatment were examined, including various orders of Moller–Plesset perturbation theory (MP2, MP3, MP4), coupled‐cluster theory with and without perturbative treatment of triple excitations [CCSD, CCSD(T)], and singles and doubles configuration interaction (CISD). All of the basis sets considered here were constructed by adding even‐tempered sets of diffuse functions to the correlation consistent basis sets of Dunning and co‐workers. With multiply‐augmented sets we find that the electrical properties of the rare gas atoms converge smoothly to values that are in excellent agreement with the available experimental data and/or previously computed results. As a further test of the basis sets presented here, the dipole polarizabilities of the F and Cl anions and of the HCl and N2 molecules are also reported.  

1.
(a)
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
90
,
1007
(
1989
);
(b)
R. A.
Kendall
,
T. H.
Dunning
,Jr.
, and
R. J.
Harrison
,
J. Chem. Phys.
,
96
,
6796
(
1992
); ,
J. Chem. Phys.
(c)
D. E.
Woon
and
T. H.
Dunning
, Jr.
,
J. Chem. Phys.
,
98
,
1358
(
1993
).,
J. Chem. Phys.
2.
D. E.
Woon
and
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
99
,
1914
(
1993
);
K. A.
Peterson
,
R. A.
Kendall
, and
T. H.
Dunning
, Jr.
,
J. Chem. Phys.
99
,
1930
(
1993
).,
J. Chem. Phys.
3.
L. I. Schiff, Quantum Mechanics, 3rd Ed. (McGraw-Hill, New York, 1968), p. 263ff.
4.
S. Svanberg, Atomic and Molecular Spectroscopy: Basic Aspects and Practical Applications, 2nd Ed. (Springer-Verlag, Berlin, 1992), p. 56ff.
5.
G. C. Maitland, M. Rigby, E. B. Smith, and W. A. Wakeham, Intermolecular Force:s Their Origin and Determination (Clarendon, Oxford, 1981);
A. D.
Buckingham
,
Adv. Chem. Phys.
12
,
107
(
1967
);
P.
Isnard
,
D.
Robert
, and
L.
Galatry
,
Mol. Phys.
31
,
1789
(
1976
);
A. Zangwill, Physics at Surfaces (Cambridge University, Cambridge, 1988), Chap. 8.
6.
N. W. Ashcroft and N. D. Mermin, Solid State Physics (Saunders College, Philadelphia, 1976), p. 539ff.
7.
C.
Girard
,
X.
Bouju
, and
C.
Joachim
,
Chem. Phys.
168
,
203
(
1992
).
8.
S. S.
Xantheas
and
T. H.
Dunning
, Jr.
,
J. Phys. Chem.
97
,
18
(
1993
).
9.
D.
Feller
,
J. Chem. Phys.
96
,
6104
(
1992
);
S. S.
Xantheas
and
T. H.
Dunning
,Jr.
,
J. Chem. Phys.
99
,
8037
(
1993
);
J. E.
Del Bene
,
Int. J. Quantum Chem. Quantum Chem. Symp.
26
,
527
(
1992
).
10.
D. E.
Woon
,
Chem. Phys. Lett.
204
,
29
(
1993
);
D. E.
Woon
,
J. Chem. Phys.
100
,
2838
(
1994
).
11.
K.
Jankowski
,
R.
Becherer
,
P.
Scharf
,
H.
Schiffler
, and
R.
Ahlrichs
,
J. Chem. Phys.
82
,
1413
(
1985
);
R.
Ahlrichs
,
P.
Scharf
, and
K.
Jankowski
,
Chem. Phys. Lett.
98
,
381
(
1985
);
R.
Becherer
and
R.
Ahlrichs
,
Chem. Phys.
99
,
389
(
1985
).
12.
X = D (double), T (triple), Q (quadruple), or 5 (quintuple). Sets of sextuple zeta quality (cc-pV6Z) and augmented sextuple zeta quality (aug-cc-pV6Z) have been determined for hydrogen and have been used to study the transition state and barrier height of the H+H2 reaction [K. A. Peterson, D. E. Woon, and T. H. Dunning, Jr., J. Chem. Phys. (to be published)].
13.
D.
Feller
,
J. Chem. Phys.
98
,
7059
(
1993
).
14.
C. E. Dykstra, Ab initio Calculation of the Structures and Properties of Molecules (Elsevier, Amsterdam, 1988), p. 147ff.
15.
D. M.
Bishop
and
J.
Pipin
,
Int. J. Quantum Chem.
45
,
349
(
1993
).
16.
D. M. Bishop, private communication.
17.
A. D.
McLean
and
M.
Yoshimine
,
J. Chem. Phys.
47
,
1927
(
1967
).
18.
P. R.
Taylor
,
T. J.
Lee
,
J. E.
Rice
, and
J.
Almlof
,
Chem. Phys. Lett.
163
,
359
(
1989
);
P. R.
Taylor
,
T. J.
Lee
,
J. E.
Rice
, and
J.
Almlof
,
189
,
197
(
1992
).,
Chem. Phys. Lett.
19.
MOLPRO92 is a suite of programs written by H.-J. Werner and P. J. Knowles with contributions by J. Almlöf, R. D. Amos, M. Deegan, S. T. Elbert, C. Hampel, W. Meyer, K. A. Peterson, R. M. Pitzer, E.-A. Reinsch, A. J. Stone, and P. R. Taylor.
20.
C.
Hampel
,
K. A.
Peterson
, and
H.-J.
Werner
,
Chem. Phys. Lett.
190
,
1
(
1992
);
perturbative triples implemented by M. Deegan and P. J. Knowles.
21.
K.
Raghavachari
,
G. W.
Trucks
,
J. A.
Pople
, and
M.
Head-Gordon
,
Chem. Phys. Lett.
157
,
479
(
1989
).
22.
A.
Kumar
and
W. J.
Meath
,
Can. J. Chem.
63
,
1616
(
1985
).
23.
D. P.
Shelton
,
Chem. Phys. Lett.
195
,
591
(
1992
).
24.
J. E.
Rice
,
P. R.
Taylor
,
T. I.
Lee
, and
J.
Almlof
,
J. Chem. Phys.
94
,
4972
(
1991
).
25.
J. E.
Rice
,
G. E.
Scuseria
,
T. J.
Lee
,
P. R.
Taylor
, and
J.
Almlof
,
Chem. Phys. Lett.
191
,
23
(
1992
).
26.
I.
Cernusak
,
G. H. F.
Diercksen
, and
A. J.
Sadlej
,
Phys. Rev. A
33
,
814
(
1986
).
27.
G.
Maroulis
and
A. J.
Thakkar
,
Chem. Phys. Lett.
156
,
87
(
1989
).
28.
D. P.
Chong
and
S. R.
Langhoff
,
J. Chem. Phys.
93
,
570
(
1990
).
29.
O.
Christiansen
and
P.
Jo/rgensen
,
Chem. Phys. Lett.
207
,
367
(
1993
).
30.
D. M.
Bishop
and
S. M.
Cybulski
,
Chem. Phys. Lett.
211
,
255
(
1993
).
31.
M. B.
Doran
,
J. Phys. B
7
,
558
(
1974
).
32.
R. P.
McEachran
,
A. G.
Ryman
, and
A. D.
Staufifer
,
J. Phys. B
10
,
L681
(
1977
).
33.
F.
Visser
,
P. E. S.
Wormer
, and
W. P. J. H.
Jacobs
,
J. Chem. Phys.
82
,
3753
(
1985
).
34.
D. M.
Bishop
and
M.
Rérat
,
J. Chem. Phys.
91
,
5489
(
1989
).
35.
D. P.
Shelton
,
Phys. Rev. A
42
,
2578
(
1990
).
36.
V.
Mizrahi
and
D. P.
Shelton
,
Phys. Rev. Lett.
55
,
696
(
1985
).
37.
I.
Cernusak
,
G. H. F.
Diercksen
, and
A.
Sadlej
,
Chem. Phys. Lett.
128
,
18
(
1986
).
38.
G.
Maroulis
and
D. M.
Bishop
,
J. Phys. B
18
,
4675
(
1985
).
39.
M.
Bulski
,
P. E. S.
Wormer
, and
A.
van der Avoird
,
J. Chem. Phys.
94
,
491
(
1991
).
40.
N. C.
Pyper
,
C. G.
Pike
, and
P. P.
Edwards
,
Mol. Phys.
76
,
353
(
1992
).
41.
C.
Nelin
,
B. O.
Roos
,
A. J.
Sadlej
, and
P. E. M.
Siegbahn
,
J. Chem. Phys.
77
,
3607
(
1982
).
42.
G. H. F.
Diercksen
and
A. J.
Sadlej
,
Chem. Phys. Lett.
84
,
390
(
1981
).
43.
V.
Kellö
,
B. O.
Roos
, and
A. J.
Sadlej
,
Theor. Chim. Acta
74
,
185
(
1988
).
44.
A. D.
Buckingham
,
M. P.
Bogaard
,
D. A.
Dunmur
,
C. P.
Hobbs
, and
B. J.
Orr
,
Trans. Faraday Soc.
66
,
1548
(
1970
).
45.
G.
Maroulis
and
A. J.
Thakkar
,
J. Chem. Phys.
88
,
7623
(
1988
).
46.
H.
Sekino
and
R. J.
Bartlett
,
J. Chem. Phys.
98
,
3022
(
1993
).
47.
B. L.
Hammond
and
J. E.
Rice
,
J. Chem. Phys.
97
,
1138
(
1992
).
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