The Jahn-Teller theorem is applied in the vibrational context where degenerate highfrequency vibrational states (E) are considered as adiabatic functions of low-frequency vibrational coordinates (e). For CH 3 CN and Cr(C 6 H 6)(CO) 3 , the global minimum of the nondegenerate electronic potential energy surface occurs at the C 3v geometry, but in CH 3 OH, the equilibrium geometry is far from the C 3v reference geometry. In the former cases, the computed spontaneous Jahn-Teller distortion is exceptionally small. In methanol, the vibrational Jahn-Teller interaction results in the splitting of the degenerate E-type CH stretch into what have been traditionally assigned as the distinct ν 2 and ν 9 vibrational bands. The ab initio vibrational frequencies are fit precisely by a two-state high-order Jahn-Teller Hamiltonian (A. Viel, W. Eisfeld, J Chem Phys 120 (2004) 4603-4613). The presence of vibrational conical intersections, including 7 for CH 3 OH, has implications for spectroscopy, for geometric phase, and for ultrafast localized non-adiabatic energy transfer.