High Energy Chemistry

, Volume 53, Issue 1, pp 31–39 | Cite as

Excitons and Localized States in Nanosized Molecular Aggregates with Impurities

  • V. A. BenderskiiEmail author


The eigenvalues and eigenfunctions of excitons and localized states making up the spectrum of nanosized (number of sites <100) molecular chains with one and two impurity sites have been found from the solution of secular equations at an energy V of excited impurity states and their interaction energy W with neighboring sites (in a homogeneous chain, V = 0, W = 1). A method is proposed for determining the universal relations of energies, density of states, amplitude distributions, and localization lengths to V and W. It has been shown that the rates of tunneling and hopping between impurities located at different relative distances depend on band reorganization in the initial and transition states.


one-dimensional molecular models band and localized states density of states localization length 



This work was supported by the Presidium of the Russian Academy of Sciences under the Fundamental Research Program PFI 1.8 P and in the framework of project no. 0007-2014-FANO.


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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Institute of Problems of Chemical Physics, Russian Academy of SciencesChernogolovkaRussia

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