Kucherenko M.G., Izmodenova S.V., Chmereva T.M., Kruchinin N.Yu., Podresova N.S.
DIFFUSION CONTROLLED REACTION KINETICS IN NEAR-SURFACE SHELL OF FULLERENE-TUBULENE NANOPARTICLE WITH ADSORBED MACROMOLECULAR CHAIN ^{[№ 9 ' 2013]}
A mathematical model of the electronic excitation cross-annihilation kinetics of oxygen molecules and organic dyes, connected with macromolecule linkers adsorbed on a fullerene or carbon nanotube (tubulene) surface in a solution is proposed. The model taken into account a non-homogeneous character of the radial distribution of polymeric chain linkers forming like profile of oxygen singlet excitations generation centers and furthermore diffusion relaxation features of its density in the near-surface zone of the different curvature radius. Expressions are produced for the time — dependent signal of annihilation delayed fluorescence of dye molecules and they are different for the spherical and tubular nanoparticle. The oxygen molecules thermal diffusion which obtained by the formation of a non-homogeneous temperature field in the near-surface layer was taken into account. The estimation of the thermal diffusion effect value is made and its influence on the long-time luminescence kinetics of dye molecules connected with polymeric chains adsorbed on fullerene/tubulene kernels is obtained.