Some qualitative effects of anharmonicity on the spectra of H 3 + and D 3 + between low vibrational levels are described. Using large-basis vibration-rotation calculations with a Morse-based discrete variable representation for the vibrations and a symmetric-top basis for the rotations, new spectra of H 3 + and D 3 + have been assigned. This procedure was assisted by adjusting eight coefficients for H 3 + and six coefficients for D 3 + in the Meyer-Botschwina-Burton ab initio potential function, and eventually 621 new and old lines of H 3 + to levels up to 3 ν 2 and 529 new and old lines of D 3 + to levels up to 2 ν 2 have been fitted with standard deviations of 0.118 and 0.059 cm −1 , respectively. An attempt is made to compare five different potential energy functions for the H 3 + system, two ab initio and three adjusted to fit spectra of H 3 + or D 3 + , by expanding them by the same procedure in the same variables. For extension of the present work to higher vibrational levels, more accurate boundary behaviour at linear configurations will be required, and some aspects of the use of hyperspherical coordinates are discussed.
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