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11
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19944401306
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We shall assume that experimental transition intensities for the molecule in question either do not exist or are not reliable. In the case where certain of these are known, the so-called wave-function expansion of
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may be used to obtain other transition probabilities (see Refs. 2 and 10).
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(1959)
J. Chem. Phys.
, vol.31
, pp. 218
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Trischka, J.1
Salwen, H.2
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14
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84950582684
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One often sees in the literature the transition probability written as [formula omitted] where the first term is independent of the initial and final rotational quantum number.
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In developing the present method we shall keep for simplicity to the notation of Eq. (1).
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35
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84950582700
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A polynomial of degree four is sufficiently flexible to represent all dipole-moment functions except those which exhibit a pathological number of oscillations in the vicinity of [formula omitted] In the case of most diatomic molecules this is fortunately not expected to occur (see Ref. 2).
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43
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0001752458
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We used the RKR program initially developed by J. Kasper and first described by
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We are grateful to Professor Kasper for providing a recent version of his program.
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(1964)
J. Chem. Phys.
, vol.40
, pp. 1934
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Zare, R.N.1
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44
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84950582703
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(unpublished work). The phases of the vibration-rotation wavefunctions are determined by forcing the first derivative of [formula omitted] to be positive for [formula omitted]
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Alexander, M.H.1
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47
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84950601019
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This value is obtained by first fitting the results of Rothstein (Ref. 33) for [formula omitted] to a two-term power series in [formula omitted] and then extrapolating to [formula omitted]
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51
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84950582697
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Unfortunately, due to the limited applicability of presentday techniques for obtaining error bounds to expectation values (Refs. 20–23), we are unable to obtain by a rigorous method useful error limits to the Brown-Shull dipole-moment function.
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53
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84950582699
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We likewise neglect any possible Born-Oppenheimer breakdown leading to different dipole-moment functions for the different isotopes (Ref. 10).
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Even if this did occur, the error introduced would most likely be much smaller than the desired accuracy of the vibrational transition amplitudes.
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54
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84950591662
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We have used the IBM-supplied Mathematical Programming System MPS-360 package.
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