A new method is presented, which makes it possible to partition molecular properties like multipole moments and polarizabilities, into atomic and interatomic contributions. The method requires a subdivision of the atomic basis set into occupied and virtual basis functions for each atom in the molecular system. The localization procedure is organized into a series of orthogonalizations of the original basis set, which will have as a final result a localized orthonormal basis set. The new localization procedure is demonstrated to be stable with various basis sets, and to provide physically meaningful localized properties. Transferability of the methyl properties for the alkane series and of the carbon and hydrogen properties for the benzene, naphtalene, and anthracene series is demonstrated.

1.
R. S.
Mulliken
,
J. Chem. Phys.
36
,
3428
(
1962
).
2.
P.-O.
Löwdin
,
Adv. Quantum Chem.
5
,
185
(
1970
).
3.
A. J.
Stone
,
Chem. Phys. Lett.
83
,
233
(
1981
).
4.
D. E.
Williams
,
Rev. Comput. Chem.
2
,
219
(
1991
).
5.
C. I.
Bayly
,
P.
Cieplak
,
W. D.
Cornell
, and
P. A.
Kollman
,
J. Phys. Chem.
97
,
10269
(
1993
).
6.
C. A.
Reynolds
,
J. W.
Essex
, and
W. G.
Richards
,
J. Am. Chem. Soc.
114
,
9075
(
1992
).
7.
R. F. W. Bader, Atoms in Molecules (Clarendon Press, Oxford, 1990).
8.
R. F. W.
Bader
,
Chem. Rev. (Washington, D.C.)
91
,
893
(
1991
).
9.
C.
Mei
,
K. E.
Edgecombe
,
V. H.
Smith
, Jr.
, and
A.
Heilingbrunner
,
Int. J. Quantum Chem.
48
,
287
(
1993
).
10.
J.
Cioslowski
,
J. Am. Chem. Soc.
111
,
8333
(
1989
).
11.
M. B.
Ferraro
,
M. C.
Caputo
, and
P.
Lazzeretti
,
J. Chem. Phys.
109
,
2987
(
1988
).
12.
A. E.
Reed
,
L. A.
Curtiss
, and
F.
Weinhold
,
Chem. Rev. (Washington, D.C.)
88
,
899
(
1988
).
13.
G. Karlström, Proceedings of the Fifth Seminar on Computational Methods in Quantum Chemistry, edited by P. T. van Duijnen and W. C. Nieuwpoort (Max-Plank-Institut für Physik und Astrophysik, The Netherlands, 1981), p. 353.
14.
S. W.
Rick
and
S. J.
Stuart
,
Rev. Comput. Chem.
18
,
89
(
2002
).
15.
G.
Karlström
,
Theor. Chim. Acta
60
,
535
(
1982
).
16.
A. J.
Stone
,
Mol. Phys.
56
,
1065
(
1985
).
17.
G. J.
Williams
and
A. J.
Stone
,
J. Chem. Phys.
119
,
4620
(
2003
).
18.
P. N.
Day
,
J. H.
Jensen
, and
M. S.
Gordon
,
J. Chem. Phys.
105
,
1968
(
1996
).
19.
J. E.
Rice
and
R. D.
Amos
,
Chem. Phys. Lett.
122
,
585
(
1985
).
20.
K. Andersson, M. Barysz, A. Bernhardsson et al., MOLCAS Version 6.0, Department of Theor. Chem., Chem. Center, University of Lund, P.O.B. 124, S-221 00 Lund, Sweden, Lund (2003).
21.
G.
Karlström
,
R.
Lindh
, and
P.-Å.
Malmqvist
,
Comput. Mater. Sci.
28
,
222
(
2003
).
22.
K.
Pierloot
,
B.
Dumez
,
P.-O.
Widmark
, and
B. O.
Roos
,
Theor. Chim. Acta
90
,
87
(
1995
).
23.
P.-O.
Widmark
,
P.-Å.
Malmqvist
, and
B. O.
Roos
,
Theor. Chim. Acta
77
,
291
(
1990
).
24.
W. J.
Hehre
,
R.
Ditchfield
, and
J. A.
Pople
,
J. Chem. Phys.
56
,
2257
(
1972
).
25.
T. H.
Dunning
,
J. Chem. Phys.
90
,
1007
(
1989
).
26.
J. E. H.
Haverkort
,
F.
Baas
, and
J. J. M.
Beenakker
,
Chem. Phys.
79
,
105
(
1983
).
This content is only available via PDF.
You do not currently have access to this content.