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The Nonlinear Optical Properties of Polyacetylene within the Intermediate Exciton Formalism

Published online by Cambridge University Press:  25 February 2011

David Yaron  and
Robert Silbey
David Yaron
Affiliation:
Massachusetts Institute of Technology, Cambridge MA 02139
Robert Silbey
Affiliation:
Massachusetts Institute of Technology, Cambridge MA 02139
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Abstract

Within the Singles-CI approximation, the perturbation theory expression for γ (the non-resonant third-order nonlinear optical susceptibility) contains a class of terms which correspond to (i) the creation of an s-type exciton (ii) a transition to a p-type exciton, and (iii) a return to the ground state through an s-type exciton. The contribution of these terms to γ is considered in the limit of an infinite chain of polyacetylene. The infinite chain limit is obtained by considering a ring of polyacetylene and allowing the ring size to go to infinity. The limit is approached using three methods, each of which reveals a different characteristic length of the system. The form of the excitons is found to be independent of ring size for rings which are larger than the size of the exciton.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 247: Symposium N – Electrical, Optical, and Magnetic Properties of Organic Solid State Materials , 1992 , 163
Copyright
Copyright © Materials Research Society 1992

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