15.3 Rotational modes of diatomic molecules,...2,1,0,)1(22=+=lllLhThe rotation is modeled as the motion of a quantum mechanical rigid rotator. The moment of inertia of the molecule rotating around the axis:I=mrr02,where mr=m1m2/(m1+m2) is the reduced mass, r0is the equilibrium distance between the nuclei.Quantum mechanics states that the allowed values of the angular momentum L meet The rotation energy is given by ε= (½)Iω2.ωis the angular velocity. Since L=Iω, ε=L2/2I.So that the quantized energy levels are:r0ω.2/)1(2Illrlh+=ε(15.13)
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