A linear‐scaling method to carry out semiempirical quantum mechanical calculations for large systems has been developed based on the density matrix version of the divide‐and‐conquer approach. The method has been tested and demonstrated to be accurate and efficient. With this implementation, semiempirical quantum mechanical calculations are made possible for large molecules over 9000 atoms on a typical workstation. For biological macromolecules, solvent effects are included with a dielectric continuum model.

1.
J. P. Lewis, O. F. Sankey, and P. J. Ordejón, Phys. Rev. B (submitted).
2.
L. Y.
Zhang
and
R. A.
Friesner
,
J. Phys. Chem.
99
,
16479
(
1995
).
3.
D.
Bakowies
,
M.
Bühl
, and
W.
Thiel
,
J. Am. Chem. Soc.
117
,
10113
(
1995
).
4.
W.
Yang
,
Phys. Rev. Lett.
66
,
438
(
1991
).
5.
W.
Yang
,
Phys. Rev. A
44
,
7823
(
1991
).
6.
G.
Galli
and
M.
Parrinello
,
Phys. Rev. Lett.
69
,
3547
(
1992
).
7.
X.-P.
Li
,
R. W.
Nunes
, and
D.
Vanderbilt
,
Phys. Rev. B
47
,
10891
(
1993
).
8.
F.
Mauri
,
G.
Galli
, and
R.
Car
,
Phys. Rev. B
47
,
9973
(
1993
).
9.
P.
Ordejón
et al.,
Phys. Rev. B
48
,
14646
(
1993
).
10.
E. B.
Stechel
,
A. P.
Williams
, and
P. J.
Feibelman
,
Phys. Rev. B
49
,
3898
(
1993
).
11.
S.
Goedecker
and
L.
Colombo
,
Phys. Rev. B
73
,
122
(
1994
).
12.
J. M.
Pérez-Jordá
and
W.
Yang
,
Chem. Phys. Lett.
247
,
484
(
1995
).
13.
J. M.
Pérez-Jordá
and
W.
Yang
,
Chem. Phys. Lett.
241
,
469
(
1995
).
14.
J. M.
Pérez-Jordá
and
W.
Yang
,
J. Chem. Phys.
104
,
8003
(
1996
).
15.
C. A.
White
et al.,
Chem. Phys. Lett.
230
,
8
(
1994
).
16.
M. C.
Strain
,
G. E.
Scuseria
, and
M. J.
Frisch
,
Science
271
,
51
(
1996
).
17.
J. J. P. Stewart, in Review in Computational Chemistry, Vol. 1, edited by K. B. Lipkowitz and D. B. Boyd (VCH, New York, 1990), Chap. 2.
18.
W.
Thiel
,
Tetrahedron
44
,
7393
(
1988
).
19.
J. J. P. Stewart, Abstract of the 211th ACS National meeting, Division of Computers in Chemistry.
20.
W.
Yang
and
T.-S.
Lee
,
J. Chem. Phys.
103
,
5674
(
1995
).
21.
J. J. P. Stewart, MOPAC7 Version 2 Manual (QCPE, Bloomington, 1993).
22.
J. J. P.
Stewart
,
J. Comput.-aided Mol. Design
4
,
1
(
1990
).
23.
R. S.
Mulliken
,
J. Chem. Phys.
23
,
1833
(
1955
).
24.
P. D.
Walker
and
P. G.
Mezey
,
J. Am. Chem. Soc.
115
,
12423
(
1993
).
25.
L.
Massa
,
L.
Huang
, and
J.
Karle
,
J. Quantum Chem.
29
,
371
(
1995
).
26.
Q.
Zhao
and
W.
Yang
,
J. Chem. Phys.
102
,
9598
(
1995
).
27.
M. J. S.
Dewar
and
V.
Yamaguch
,
Comput. Chem.
2
,
25
(
1978
).
28.
J. D.
Head
and
M. C.
Zerner
,
Chem. Phys. Lett.
122
,
264
(
1985
).
29.
W. H. Press et al., Numerical Recipes in Fortran, 2nd ed. (Cambridge University Press, New York, 1992), p. 413.
30.
A.
Klamt
and
G.
Schüürmann
,
Perkin Trans.
2
,
799
(
1993
).
31.
T. N.
Troung
and
E. V.
Stephanovich
,
J. Chem. Phys.
103
,
3709
(
1995
).
32.
J.
Andzelm
,
C.
Kölmel
, and
A.
Klamant
,
J. Chem. Phys.
103
,
9312
(
1995
).
33.
D. York, T.-S. Lee, and W. Yang, Chem. Phys. Lett. (submitted).
34.
J. D. Jackson, Classical Electrodynamics (Wiley, New York, 1975).
35.
J. J. P.
Stewart
,
J. Comput. Chem.
10
,
209
(
1989
).
36.
J. J. P.
Stewart
,
J. Comput. Chem.
10
,
221
(
1989
).
37.
D.
Fréchet
et al.,
Biochemistry
33
,
42
(
1994
).
38.
M. M.
Teeter
,
S. M.
Roe
, and
N. H.
Heo
,
J. Mol. Biol.
230
,
292
(
1993
).
39.
J.
Deisenhofer
et al.,
Acta Crystallograph. B
31
,
238
(
1975
).
40.
D.
York
et al.,
Proc. Natl. Acad. Sci.
91
,
7815
(
1994
).
41.
A.
Woldawer
,
M.
Miller
, and
M.
Jaskólski
,
Science
245
,
616
(
1989
).
42.
D.
York
,
T.
Darden
, and
L.
Pedersen
,
J. Chem. Phys.
99
,
8345
(
1993
).
43.
K.
Harata
,
Acta Crystallograph. B
50
,
250
(
1994
).
44.
E. F.
Pai
et al.,
EMBO J.
9
,
2351
(
1990
).
45.
J. L.
Sussman
et al.,
Science
253
,
872
(
1991
).
46.
H.
Eklund
,
J.-P.
Samama
, and
T. A.
Jones
,
Biochemistry
23
,
5982
(
1984
).
47.
H.-X.
Deng
et al.,
Science
261
,
1047
(
1993
).
48.
M.
Newman
et al.,
Science
269
,
656
(
1995
).
49.
L.
Greengard
,
Science
265
,
909
(
1994
).
50.
C. A.
White
et al.,
Chem. Phys. Lett.
230
,
8
(
1994
).
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