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The internal conversion of nuclear transition in the ${}^{235}U$ atom isconsidered. The low-energy $\gamma-$quanta ($E_{\gamma} \approx$ 76.8 $eV$) areemitted during the $E3-$transition from the excited state ($I = (\frac12)^+$)of the ${}^{235}U$ nucleus to its ground state ($I = (\frac72)^-$). The decayrate of this ${}^{235m}U$ isomer ($E \approx 76.8$ $eV$) noticeably dependsupon the chemical composition and actual physical conditions (i.e. temperature$T$ and pressure $p$). By varying such a composition and physical conditionsone can change the life-time of the ${}^{235m}U$ isomer to relativelylarge/small values. A specific attention is given to the fullerene moleculescontaining the central ${}^{235}U$ atom. It is shown that the decay rate$\lambda$ of the ${}^{235m}U$ isomer in the ${}^{235m}U@C_{60-n}X_n$ moleculesand related compounds can differ significantly from the values obtained forisolated ${}^{235}U$ atoms. Some applications of this effect are considered.

Internal conversion of nuclear transition in the ${}^{235m}U@C_{60-n}X_n$ molecules and related compounds