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- W1965561723 abstract "The observed zero-point inertial defect Δ0=I0cc−I0aa−I0bb is often used as a test of the planarity of a molecule, but this test is difficult to make quantitative when the information on the vibrations and vibration–rotation interactions is limited. The general formula for the inertial defect to order κ2Ie is separated into harmonic and Coriolis contributions Δ0harm and Δ0Cor, which can be expressed in various ways by use of sum rules. It is shown here that the zero-point harmonic term is given approximately by Δharm0≊Δtau0= 3K(1/ωA+1/ωB+1/ωAB−1/ωC), where K is ℏ2/2hc and the effective vibrational frequencies are given in terms of the centrifugal tensor ταβγδ by τaaaa=−16A3/ωA2, τbbbb=−16B3/ωB2, τcccc=−16C3/ωC2, and τabab=−16ABC/ωAB2, so that Δ0harm can be estimated from centrifugal distortion constants. A fit of empirical data gives Δ0≊Δ0tau[1.0292−0.0911(N−3)], where N is the number of atoms and the correction factor makes approximate allowance for Δ0Cor. Thus an observed Δ0 that is significantly negative relative to this approximation may indicate that the molecule is nonplanar or has unusually low out-of-plane frequencies." @default.
- W1965561723 created "2016-06-24" @default.
- W1965561723 creator A5019896997 @default.
- W1965561723 date "1993-04-01" @default.
- W1965561723 modified "2023-10-18" @default.
- W1965561723 title "Approximations for the inertial defects of planar molecules" @default.
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- W1965561723 doi "https://doi.org/10.1063/1.464929" @default.
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