Global Analysis ofa-,b-, andc-Type Transitions Involving Tunneling Components ofK= 0 and 1 States of the Methanol Dimer

Abstract

Spectral data onK= 0 and 1 levels of the methanol dimer available from previous and present Fourier transform microwave measurements have been interpreted globally, using a group-theoretically derived effective Hamiltonian and corresponding tunneling matrix elements to describe the splittings arising from a large number of tunneling motions. In the present work, 302 new measurements (40K= 1–1 and 262K= 1–0 transitions) were added to the previous data set to give a total of 584 assigned transitions withJ≤ 6. As a result of the rather completeK= 0, 1 data set forJ≤ 4, the lone-pair exchange tunneling splittings were obtained experimentally. Matrix element expansions inJ(J+ 1) used in the previousK= 0 formalism were modified to apply toK> 0, essentially by making a number of real coefficients complex, as required by the generalized internal-axis-method tunneling formalism. To reduce the number of adjustable parameters to an acceptable level in both theK= 0 andK= 1 effective Hamiltonians (used in separateK= 0 andK= 1 least-squares fits), a rather large number of assumptions concerning probably negligible parameters had to be made. The present fitting results should thus be considered as providing assurance of the group-theoretical line assignments as well as a nearly quantitative global interpretation of the tunneling splittings, even though they do not yet unambiguously determine the relative contributions from all 25 group-theoretically inequivalent tunneling motions in this complex, nor do they permit quantitative extrapolation to higherKlevels.