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Electronic and Optical Properties of Conjugated Polymers$
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William Barford

Print publication date: 2013

Print ISBN-13: 9780199677467

Published to Oxford Scholarship Online: May 2013

DOI: 10.1093/acprof:oso/9780199677467.001.0001

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Noninteracting electrons

Noninteracting electrons

Chapter:
(p.26) 3 Noninteracting electrons
Source:
Electronic and Optical Properties of Conjugated Polymers
Author(s):

William Barford

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199677467.003.0003

The Hückel model of noninteracting electrons is solved for a variety of problems. First, it is applied to the ethylene dimer, as this serves to introduce concepts of excited states used later in the book.Next, the Hückel model is solved for linear and cyclic polymer chains that are both uniform and dimerized. Metallic and semiconducting band structures are derived and discussed. The particularly important concept of electron-hole excitations and their properties under an electron-hole transformation are described.Finally, the concept of bond-order is introduced to motivate the physical explanation of the Peierls transition, discussed in Chapter 4.

Keywords:   Hückel model, noninteracting electrons, bands, Dimer, electron-hole excitations, bond order

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