Ab initio effective core potentials (ECP’s) have been generated to replace the Coulomb, exchange, and core‐orthogonality effects of the chemically inert core electron in the transition metal atoms Sc to Hg. For the second and third transition series relative ECP’s have been generated which also incorporate the mass–velocity and Darwin relativistic effects into the potential. The ab initio ECP’s should facilitate valence electron calculations on molecules containing transition‐metal atoms with accuracies approaching all‐electron calculations at a fraction of the computational cost. Analytic fits to the potentials are presented for use in multicenter integral evaluation. Gaussian orbital valence basis sets are developed for the (3d,4s,4p), (4d,5s,5p), and (5d,6s,6p) orbitals of the first, second, and third transition series atoms, respectively. All‐electron and valence‐electron atomic excitation energies are also compared for the low‐lying states of Sc–Hg, and the valence‐electron calculations are found to reproduce the all‐electron excitation energies (typically within a few tenths of an eV).

1.
Y. S.
Lee
and
A. D.
McLean
,
J. Chem. Phys.
76
,
735
(
1982
).
2.
J. P.
Desclaux
and
P.
Pyykko
,
Chem. Phys. Lett.
29
,
534
(
1974
).
3.
See Ref. 4 for a complete discussion of effective potential techniques up to 1976.
4.
L. R.
Kahn
,
P.
Baybutt
, and
D. G.
Truhlar
,
J. Chem. Phys.
65
,
3826
(
1976
).
5.
(a)
S.
Topiol
,
J. W.
Moskowitz
, and
C. F.
Melius
,
J. Chem. Phys.
68
,
2864
(
1978
);
S.
Topiol
,
J. W.
Moskowitz
, and
C. F.
Melius
,
70
,
3008
(
1979
); ,
J. Chem. Phys.
S. Topiol, J. W. Moskowitz, C. F. Melius, M. D. Newton, and J. Jafiri, Courant Institute Report C00‐3077‐105, 1976.
6.
V.
Bonifacic
and
S.
Huzinaga
,
J. Chem. Phys.
60
,
2779
(
1974
);
V.
Bonifacic
and
S.
Huzinaga
,
62
,
1507
,
1509
(
1975
); ,
J. Chem. Phys.
V.
Bonifacic
and
S.
Huzinaga
,
64
,
956
(
1976
).,
J. Chem. Phys.
7.
J. C.
Barthelat
,
P. K.
Durand
, and
A.
Serafini
,
Mol. Phys.
33
,
159
(
1977
).
8.
A. K.
Rappé
,
T.‐A.
Smedley
, and
W. A.
Goddard
III
,
J. Phys. Chem.
85
,
1662
(
1981
).
9.
Y. S.
Lee
,
W. C.
Ermler
, and
K. S.
Pitzer
,
J. Chem. Phys.
67
,
5871
(
1977
).
10.
W. C.
Ermler
,
Y. S.
Lee
,
K. S.
Pitzer
, and
N. W.
Winter
,
J. Chem. Phys.
69
,
976
(
1978
).
11.
L. R.
Kahn
,
R. H.
Cowan
, and
P. J.
Hay
,
J. Chem. Phys.
68
,
2368
(
1978
).
12.
P. J.
Hay
,
W. R.
Wadt
,
L. R.
Kahn
, and
F. W.
Bobrowicz
,
J. Chem. Phys.
69
,
984
(
1978
).
13.
P.
Hafner
and
W. H. E.
Schwarz
,
J. Phys. B
11
,
217
(
1978
).
14.
S. H.
Datta
,
C. S.
Ewig
, and
J. R.
Van Wazer
,
Chem. Phys. Lett.
57
,
83
(
1978
).
15.
Y. Ishikawa and G. L. Malli, Fully Relativistic Effective Core Potentials, NATO Advanced Study Institute on Relativistic Effects in Atoms, Molecules, and Solids, edited by G. L. Malli (Plenum, New York, 1983).
16.
G. B.
Bachelet
,
D. R.
Hamann
, and
M.
Schluter
,
Phys. Rev. B
26
,
4199
(
1982
).
17.
L.
McMurchie
and
E. R.
Davidson
,
J. Comput. Phys.
44
,
289
(
1981
).
18.
W. R.
Wadt
and
P. J.
Hay
,
J. Chem. Phys.
82
,
284
(
1985
).
19.
P. A.
Christiansen
,
Y. S.
Lee
, and
K. S.
Pitzer
,
J. Chem. Phys.
71
,
4445
(
1979
).
20.
D. R.
Hamann
,
M.
Schluter
, and
C.
Chiang
,
Phys. Rev. Lett.
43
,
1494
(
1979
).
21.
R. W.
Cowan
and
D. C.
Griffin
,
J. Opt. Soc. Am.
66
,
1010
(
1976
).
22.
W. C.
Ermler
,
Y. S.
Lee
,
P. A.
Christiansen
, and
K. S.
Pitzer
,
Chem. Phys. Lett.
81
,
70
(
1981
).
23.
W. J.
Stevens
and
M.
Krauss
,
Chem. Phys. Lett.
86
,
320
(
1982
);
W. J.
Stevens
and
M.
Krauss
,
J. Chem. Phys.
76
,
3834
(
1982
).
24.
J. S.
Cohen
,
W. R.
Wadt
, and
P. J.
Hay
,
J. Chem. Phys.
71
,
2955
(
1978
).
25.
W. R.
Wadt
,
Chem. Phys. Lett.
89
,
245
(
1982
).
26.
R. L.
Martin
and
P. J.
Hay
,
J. Chem. Phys.
75
,
4539
(
1981
).
27.
A. K.
Rappé
,
T.
Smedley
, and
W. A.
Goddard
III
,
J. Phys. Chem.
85
,
2607
(
1981
).
28.
P. J.
Hay
and
W. R.
Wadt
,
J. Chem. Phys.
82
,
299
(
1984
).
29.
A. J. H.
Wachters
,
J. Chem. Phys.
52
,
1033
(
1970
).
30.
P. J.
Hay
,
J. Chem. Phys.
66
,
4377
(
1977
).
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