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High‐Velocity Molecular Beam Scattering: Total Elastic Cross Sections for L‐J(n, 6) and Exp‐6(α) Potentials
1.R. B. Bernstein, (a) J. Chem. Phys. 33, 795 (1960);
1.(b) R. B. Bernstein, 34, 361 (1961); , J. Chem. Phys.
1.(c) R. B. Bernstein, 36, 1403 (1962); , J. Chem. Phys.
1.(d) R. B. Bernstein, 37, 1880 (1962).Errata are as follows: (1a) Table III: and should both be positive. Fig. 13: For the lowest curve, (lb) p. 365: should be (lc) Equation (5) was not in fact, obtained from Eq. (4), but rather was derived from the integral using an alternate boundary condition appropriate to this special case, i.e., In example 3, for the sign of should be positive. (1d) The symbol (i.e, the superscript m is not an exponent)., J. Chem. Phys.
2.H. S. W. Massey and C. B. O. Mohr, Proc. Roy. Soc. (London) A144, 188 (1934).
3.A. Dalgarno and M. R. McDowell, Proc. Phys. Soc. (London) A69, 615 (1956);
3.A. Dalgarno, M. R. McDowell, and A. Williams, Phil. Trans. Roy. Soc. (London) A250, 411 (1958).
4.E. A. Mason and J. T. Vanderslice, J. Chem. Phys. 29, 361 (1958).These authors employ a reduced velocity parameter which is closely related to .
5.In reference 1 attention was limited to the L‐J (12, 6) potential, and the notation involved σ [the first zero of ] and for the purpose of generalizing to other potentials, it is advantageous to change to the notation which makes use of and
6.N. F. Mott and H. S. W. Massey, Theory of Atomic Collisions (Clarendon Press, Oxford, England, 1949), 2nd ed.
7.Equation (14a) follows exactly from Eqs. (10a) and (6). However, in deriving Eq. (14b) from Eqs. (10b) and (6), an approximation was introduced, since the integral yielding the term in is not expressible in simple form. It was convenient to transform it to one involving Erf which was then expanded for large x in a semiconvergent series (the first few terms of which disappeared by cancellation). In computation, the series is terminated when the term exceeds the nth; a residue of half the nth; term is then applied. The error in X introduced by this procedure is for but increases to at Fortunately, this has a negligible influence on the resulting since the entire second term in the braces of Eq. (14b) is in the range 5–10%, compared to unity. The principal factor governing is the quantity where is, of course, strongly dependent on
8.I. Amdur and H. Pearlman, J. Chem. Phys. 9, 503 (1941).
8.I. Amdur, J. E. Jordan, and S. O. Colgate, J. Chem. Phys. 34, 1525 (1961)and other papers in the series., J. Chem. Phys.
9.E. A. Mason and J. T. Vanderslice, J. Chem. Phys. 27, 917 (1957).
10.G. N. Watson, Theory of Bessel Functions (Cambridge University Press, England, 1944), 2nd ed., pp.78, 79, 202.
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