Previous calculations of (Li+, Li) scattering utilizing an expansion in traveling atomic orbitals have been extended to the collisions (Na+, Na), (Li+, Na), and (Na+, Li). While the over‐all trends of the experimental energy dependences of the cross sections are reproduced by the theory, the detailed structure in the data is very poorly represented by our calculations. Since this structure is due to collisions at small impact parameter (less than ∼ 5 a 0) it appears that a variational technique is required to allow the atomic orbitals to contract at small separations. Unless this is done, the atomic expansion method fails badly at small impact parameter. We believe the calculations are reasonable at large impact parameters, however.

1.
M. R. C. McDowell and J. P. Coleman, Introduction to the Theory of Ion‐Atom Collisions (North‐Holland, Amsterdam, 1970).
2.
D. R.
Bates
and
R.
McCarroll
,
Proc. R. Soc. A
245
,
175
(
1958
).
3.
M. A.
Riley
and
T. A.
Green
,
Phys. Rev. A
4
,
619
(
1971
).
See also
D. R.
Bates
and
D.
Sprevak
,
J. Phys. B
4
,
147
(
1971
).
4.
R.
McCarroll
,
Proc. R. Soc. A
264
,
547
(
1961
).
5.
S. E.
Lovell
and
M. B.
McElroy
,
Proc. R. Soc. A
283
,
100
(
1965
).
6.
L.
Wilets
and
D. F.
Gallaher
,
Phys. Rev.
147
,
13
(
1966
).
7.
I. M.
Cheshire
,
D. F.
Gallaher
, and
A. J.
Taylor
,
J. Phys. B
3
,
813
(
1970
).
8.
D.
Rapp
and
D.
Dinwiddie
,
J. Chem. Phys.
57
,
4919
(
1972
).
9.
D.
Rapp
,
J. Chem. Phys.
58
,
2043
(
1973
).
10.
C.
Chang
and
D.
Rapp
,
J. Chem. Phys.
59
,
1266
(
1973
), preceding paper.
11.
D. F.
Gallaher
and
L.
Wilets
,
Phys. Rev.
169
,
139
(
1968
).
12.
I. M.
Cheshire
,
J. Phys. B
1
,
428
(
1968
).
13.
C. Chang and D. Rapp, “Approximate Solution to the Schroedinger Equation by Minimizing the Deviation,” J. Chem. Phys. (to be published).
14.
A. F.
Ferguson
,
Proc. R. Soc. A
246
,
540
(
1961
).
15.
D. R.
Bates
and
D. A.
Williams
,
Proc. Phys. Soc. Lond.
83
,
425
(
1964
).
16.
D. R.
Bates
and
R.
McCarroll
,
Adv. Phys.
11
,
39
(
1962
).
17.
H. L. Daley and J. Perel, VIth ICPEAC, MIT, Cambridge (MIT U.P., Cambridge, MA, 1969), p. 1051.
18.
F. J.
Smith
,
Phys. Lett.
20
,
271
(
1966
).
19.
A.
Dalgarno
,
C.
Bottcher
, and
G. A.
Victor
,
Chem. Phys. Lett.
7
,
265
(
1970
);
A.
Dalgarno
,
C.
Bottcher
, and
G. A.
Victor
,
Chem. Phys. Lett.
11
,
307
(
1971
).
20.
W. L.
McMillan
,
Phys. Rev. A
4
,
69
(
1971
).
21.
C.
Bottcher
and
M.
Oppenheimer
,
J. Phys. B
5
,
492
(
1972
).
22.
C. F.
Melius
and
W. A.
Goddard
III
,
Chem. Phys. Lett.
15
,
524
(
1972
);
C. F.
Melius
and
W. A.
Goddard
III
,
Phys. Rev. Lett.
29
,
975
(
1972
).
23.
D.
Rapp
and
C.
Chang
, (a)
J. Chem. Phys.
57
,
4283
(
1972
);
D.
Rapp
and
C.
Chang
, (b)
J. Chem. Phys.
58
,
2657
(
1973
).
24.
D.
Rapp
and
W. E.
Francis
,
J. Chem. Phys.
37
,
2631
(
1962
).
25.
V. Aquilanti, G. Liuti, F. Vecchio‐Cattivi, and G. G. Volpi, Abstracts of Papers of the VIIth ICPEAC, Amsterdam, edited by L. M. Branscomb et al. (North‐Holland, Amsterdam, 1971), p. 600.
This content is only available via PDF.
You do not currently have access to this content.