The temperature dependence of tunneling transition of the atomic particle i
n solids is studied near absolute zero. The different mechanisms of the tem
perature dependence are considered. They are the medium reorganization, the
potential barrier parameters modulation, and the under-barrier friction Th
e nonadiabatic effects are also considered. The rate constant K is describe
d by formula ln K=ln K-0+C4T4+C5T5+C6T6+C8T8 at low temperatures. It was co
nducted through the comparison of theory with the experimental data from th
e article of Kumada [Chem. Phys. Lett. 261, 463 (1996)]. It turned out that
good agreement takes place if one takes into account the quantum propertie
s of the hydrogen crystal with the assumption of the dominated role of medi
um reorganization. (C) 2000 American Institute of Physics. [S0021-9606(00)5
0824-1].