In a molecule with a large-amplitude coordinate like the internal rota
tion angle of the methyl hydrogens relative to the CNO2 fragment in ni
tromethane the other structural parameters are not strictly constant,
but vary slightly with the angle. This behavior is usually described b
y saying that relaxations of the vibrational coordinates take placet a
nd ii is observed by the presence of special terms in the Hamiltonian
needed in fitting the spectra. It is shown how relaxations can be trea
ted theoretically by a perturbation method. Subsequent quantitative an
alysis of the effects in nitromethane Indicates that the dominant rela
xations involve the rocking and wagging coordinates of the nitro group
. The maximum rocking relaxation in the staggered configuration is fou
nd to be theta(r) approximate to 4 degrees, whereas the maximum waggin
g relaxation in the eclipsed configuration is smaller, theta(k) approx
imate to 0.7 degrees.