Abstract
Expressions are derived for the second intensity moments of vibrational bands of symmetric top molecules in the limit of rotational broadening. An expression for the moments for parallel bands agrees, apart from one minor term, with that given by Gordon. First order Coriolis effects are included for perpendicular bands, for which the second moment is given by M(2)=B2[2kT/Bhc+ 1/3 +B/3A]+A2[2(1 –ζ)2kT/hcB2/3A2+(1 – 2ζ)2]+ 2BA′(1 – 2ζ). The potential and the problems in the use of the formulae are discussed.

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