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Theory of orientational relaxation of individual specified units in a dendrimer

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Abstract

The theory of orientational relaxation properties of certain individual segments in a dendrimer macromolecule depending on the generation number and the position of a given segment in the dendrimer was developed. The time dependence for the dipole moment after switching an electric field off and the frequency dependence of the permittivity for this segment were calculated, which are determined by the autocorrelation function P 1 of the average projection of the single element. The dielectric properties of the dendrimer at the random distribution of dipole moments (e.g., as a result of sorption of solvent polar groups on the macromolecule) are considered. The time and frequency dependences of the autocorrelation function P 2 for the mean squared projection of the single element that are detectable by means of some experimental techniques (NMR, luminescence, birefringence, etc.) were studied. The theory qualitatively agrees with both the computer simulation results on the autocorrelation function P 1 for the dendrimer macromolecules and the available experimental data on the dependence of orientational mobility for the terminal segments of the number of generations.

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Correspondence to Yu. Ya. Gotlib.

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Original Russian Text © Yu.Ya. Gotlib, D.A. Markelov, 2007, published in Vysokomolekulyarnye Soedineniya, Ser. A, 2007, Vol. 49, No. 10, pp. 1838–1858.

This work was supported by the Russian Foundation for Basic Research, project no. 05-03-32332; the Integrated Federal Research Program; and INTAS, grant no. 05-1000004-47.

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Gotlib, Y.Y., Markelov, D.A. Theory of orientational relaxation of individual specified units in a dendrimer. Polym. Sci. Ser. A 49, 1137–1154 (2007). https://doi.org/10.1134/S0965545X07100112

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  • DOI: https://doi.org/10.1134/S0965545X07100112

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