The Symmetric

Let us consider first the rotational transitions of this molecule, a pyramid in which the hydrogen atoms form an equilateral triangle (Figure 5.10). In classical mechanics, the kinetic energy of a three-dimensional rotator is found from a generalization of equation (5.5):

AE (v',J - 1 ^ v",J) = AEv>v» - (Bv> + Bv") hJ +(Bv, - Bv„) hJ tt AEv>v" — 2Bv' hJ + (Bv' — Bv" ) h J2 ,

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