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Excitations in Organic Solids$
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Vladimir Agranovich

Print publication date: 2008

Print ISBN-13: 9780199234417

Published to Oxford Scholarship Online: January 2009

DOI: 10.1093/acprof:oso/9780199234417.001.0001

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The Second-Quantized Theory of Frenkel Excitons

The Second-Quantized Theory of Frenkel Excitons

Chapter:
(p.36) 3 THE SECOND-QUANTIZED THEORY OF FRENKEL EXCITONS
Source:
Excitations in Organic Solids
Author(s):

Vladimir M. Agranovich

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199234417.003.0003

This chapter presents a second quantized theory of Frenkel excitons. An energy operator for a molecular crystal in the second quantization is introduced, and excitonic states for crystals with one and more molecules per unit cell are considered. The paulions are introduced in consideration of the two-level molecular model, and exact transformation from paulions to bosons is demonstrated. The mechanism of self-trapping of Frenkel excitons and spectra and transport of self-trapped excitons are discussed. The interaction of excitons and elementary lattice excitations is considered. The results of calculations of exciton states for some molecular crystals (anthracene, naphthalene, tetracene and pentacene) are presented.

Keywords:   molecular crystals, crystal energy operator, paulions, bosons, self-trapped Frenkel excitons, excitons transport, exciton states, anthracene, naphthalene, tetracene

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