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We report on the first ESR study of atomic hydrogen and tritium stabilized ina solid T$_{2}$ and T$_{2}$:H$_{2}$ matrices down to 70$\,$mK. Theconcentrations of T atoms in pure T$_{2}$ approached $2\times10^{20}$cm$^{-3}$and record-high concentrations of H atoms $\sim1\times10^{20}$cm$^{-3}$ werereached in T$_{2}$:H$_{2}$ solid mixtures where a fraction of T atoms becameconverted into H due to the isotopic exchange reaction T+H$_2\rightarrow$TH+H.The maximum concentrations of unpaired T and H atoms was limited by theirrecombination which becomes enforced by efficient atomic diffusion due to apresence of a large number of vacancies and phonons generated in the matricesby $\beta$-particles. Recombination also appeared in an explosive manner bothbeing stimulated and spontaneously in thick films where sample cooling wasinsufficient. We suggest that the main mechanism for H and T migration isphysical diffusion related to tunneling or hopping to vacant sites in contrastto isotopic chemical reactions which govern diffusion of H and D atoms createdin H$_{2}$ and D$_{2}$ matrices by other methods.

ESR study of atomic hydrogen and tritium in solid T$_{2}$ and T$_{2}$:H$_{2}$ matrices below 1K