HIGHER-ORDER VIBRATION-ROTATION CONSTANTS OF THE $X_{3}$ MOLECULE
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Date
1983
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Ohio State University
Abstract
Higher-order vibration-rotation perturbation calculations are unusually simple for the equilateral triangular $X_{3}$ molecule because the main Coriolis terms $H_{21}$ are diagonal in a harmonic representation, so that the corresponding contact transformation, function $S_{21}$ vanishes Formulas are obtained for several higher-order molecular parameters. Including the vibrational dependence of the centrifugal and Coriolis constants. The attempted application of these formulas to date for $H_{3}^{+}$ and $D_{3}^{+}$ will be discussed.
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Author Institution: Herzberg Institute of Astrophysics, National Research Council of Canada