The temperature dependence of the reaction rate constant for tunneling tran
sfer of an atomic particle in solid near absolute zero was studied. Differe
nt mechanisms describing the temperature dependence were considered: reorga
nization of the medium, modulation of parameters of the potential barrier,
and under-barrier friction. It was established that for the rate constant (
K) at low temperatures the equation lnK = lnK(0) + C4T4 + C5T5 + C6T6 + C8T
8 is valid. Experimental data were compared with the theory. A good agreeme
nt is achieved when the quantum nature of the hydrogen crystal is applied u
nder the assumption of a predominant role of reorganization of the medium.