Abstract
Golden rule (GR) analysis is reported of the multimode nuclear effects on intermolecular H (D) tunneling. The collinear reaction model is applied with realistic quadratic expansion of the hydrogen tunneling factor over normal coordinate displacements. For an arbitrary multimode system, a rate constant expression is derived valid for the whole temperature region and convenient for numerical analysis. The validity of this, as well as of the linear expansion is quantitatively discussed. It is demonstratedthat the multimode problem for intermolecular tunneling in solids with Debye phonon spectrum can be treated with the explicit form of the tunneling factor by introducing an effective local mode. As an example of a multimode system, radical-pair conversion in crystalline dimethylglyoxime is discussed in detail for both isotopes. The available kinetic data are fitted within a GR approach generalized for an arbitrary value of the coupling as reported earlier.
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