We study the many-quanta problem of an intramolecular vibrational excitatio
n interacting with optical phonons, that may represent the nonlinearity fro
m intrinsic electron-lattice interactions. In the adiabatic limit we calcul
ate numerically the ground-state energy and the corresponding wave function
s for N vibrational quanta. In the one-dimensional case we find strong reds
hifts in the overtone spectra and an increasing spatial localization as the
number of quanta increases. Through model parameter fitting we achieve ver
y good quantitative agreement with experimental resonant Raman scattering m
easurements in the quasi-one-dimensional charge transfer solid PtCl. Accura
te analytical expressions for the redshifts are also obtained.