The different possible mechanisms of the temperature dependence of the tunn
elling transition of an atomic particle in solids near absolute zero and th
e non-adiabatic effects are determined and considered. The general expressi
on for the rate constant is obtained, taking into account the quantum prope
rties of hydrogenous crystal. Comparison of the theoretical formula with ex
perimental data [3] has permitted the leading mechanism, i.e. medium reorga
nization, of temperature dependence to be established. Good agreement has b
een achieved between theory and the discussed experimental data at reasonab
le values of the system parameters. (C) 2000 Elsevier Science B.V. All righ
ts reserved.