Utilizing generating functions, a method was constructed that retrieved the intermolecular potential from non‐velocity‐selected elastic‐scattering data. These generating functions were tested and found to be a slowly varying function of the potential, thereby making them available for use in a linearized Taylor series expansion technique, coupled with a least‐squares procedure, that inverted elastic‐scattering data. The sensitivity of the averaged differential cross section to the form of the potential was noted.
REFERENCES
1.
2.
J. W.
Brackett
, C. R.
Mueller
, and W. A.
Sanders
, J. Chem. Phys.
39
, 2564
(1963
).3.
4.
P. J.
Groblicki
and R. B.
Bernstein
, J. Chem. Phys.
42
, 2295
(1965
).5.
J. B. Scarborough, Numerical Mathematical Analysis (Johns Hopkins Press, Baltimore, Md., 1962), 5th ed., pp. 539ff. and p. 359.
6.
7.
8.
9.
10.
H. U.
Hostettler
and R. B.
Bernstein
, J. Chem. Phys.
31
, 1422
(1959
).11.
12.
J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids (John Wiley & Sons, Inc., New York, 1954), pp. 168, 110–1112.
13.
H. Eyring, J. Walter, and G. E. Kimball, Quantum Chemistry (John Wiley & Sons, Inc., New York, 1944), pp. 351–355.
14.
R. E. Olson and C. R. Mueller, “Inversion of Low‐Energy Elastic Differential Scattering Cross Sections,” J. Chem. Phys. (to be published).
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© 1967 American Institute of Physics.
1967
American Institute of Physics
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