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- W2912862175 abstract "Mean-square amplitudes of vibration in the theory of small harmonic vibrations of polyatomic molecules are studied. The quantities are treated as a kind of vibrational constants, similarly to the familiar treatment of harmonic force constants. After including certain interaction terms to form the mean-square amplitude matrix Σ, it was possible to develop two secular equations, the former one involving the matrices Σ and G−1, the latter one the matrices Σ and F. Here F and G are used for the energy matrices in Wilson's notation. Applications of the secular equations, including the ordinary one involving F and G, are discussed, and an isotope rule for the mean-square amplitude matrix elements is evaluated. Ultimately some approximation methods for computing mean-square amplitude matrices are reported, and are based on approximate expressions for the hyperbolic cotangent." @default.
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- W2912862175 date "1959-01-01" @default.
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- W2912862175 title "Vibrational mean-square amplitude matrices—I" @default.
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- W2912862175 doi "https://doi.org/10.1016/s0371-1951(59)80379-9" @default.
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