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Theory of the Effect of Temperature on the Electron Diffraction Patterns of Diatomic Molecules
1.L. S. Bartell, J. Chem. Phys. 23, 1219 (1955).
2.K. Kuchitsu and L. S. Bartell, J. Chem. Phys. 35, 1945 (1961).
3.K. Hedberg and M. Iwasaki, J. Chem. Phys. 36, 589 (1962).
4.A. Reitan, Acta Chem. Scand. 12, 131 (1958).
5.M. Born and E. Oppenheimer, Ann. Physik 84, 457 (1927).
6.See for instance, H. Eyring, J. Walter and G. Kimball, Quantum Chemistry (John Wiley & Sons, Inc., New York, 1954), p. 268.
7.This treatment is similar to that outlined in L. I. Schiff, Quantum Mechanics (McGraw‐Hill Book Company, Inc., New York, 1955), p. 305.
8.P. M. Morse, Phys. Rev. 34, 57 (1929).
9.See reference 7, page 154.
10.The authors are indebted to L. S. Bartell for pointing out the physical significance of the terms in (1.21).
11.See for instance, R. A. Bonham, and T. Ukaji, J. Chem. Phys. 36, 72 (1962).
12.P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw‐Hill Book Company, Inc., New York, 1953), Vol. II, p. 1327.
13.See reference 12, Vol. I, p. 786.
14.Bartell has recently shown that the errors in (1.31) are of two types. The first is due to the truncation of the series expansion of the potential, and the second is due to errors in the perturbation approximation. Bartell’s calculations for and indicated that these errors were largely compensating at 300 °K (L. S. Bartell, private communication).
15.Reference 12, p. 1672.
16.C. H. Townes and A. L. Schawlow, Microwave Spectroscopy (McGraw‐Hill Book Company, Inc., New York, 1955), p. 8.
17.H. Buchholz, Die Konfluente Hypergeometrische Funktion (Springer‐Verlag, Berlin, 1953), p. 143, formulas 20 and 21.
18.See reference 12, p. 1575.
19.C. D. Hodgman, Mathematical Tables (Chemical Rubber Publishing Company, Cleveland, Ohio, 1948), 9th Ed., p. 279.
20.See for instance, S. Golden, Introduction to Theoretical Chemistry (Addison‐Wesley Publishing Company, Inc., Reading, Massachusetts, 1961), p. 134.
21.B. O. Pierce, A Short Table of Integrals (Ginn and Company, Boston, Massachusetts, 1929), The expansion for the may be obtained from Eq. 775, p. 91 by taking the negative first derivative term by term.
22.E. Jahnke and R. Emde, Funktionentafeln (Dover Publications, Inc., New York, 1945), 4th Ed., p. 10.
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