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Date of Award
1996
Document Type
Thesis - Pacific Access Restricted
Degree Name
Master of Science (M.S.)
Department
Physics
First Advisor
Carl E. Wulfman
First Committee Member
Alex Granik
Second Committee Member
Larry O. Spreer
Third Committee Member
Bruce W. Shore
Fourth Committee Member
Richard L. Perry
Abstract
Quantum mechanical calculations were used to examine the polarization of excited singlet states of twisted conjugated systems. This study began as an investigation of systems which are symmetric about a central double bond. Symmetry requires that when twisting about such a bold, there must be a crossing of two low-lying states. At the one election level of theory, this leads to a degeneracy between the ground state and first excited state at 90°of twist. Slight perturbations to the twisted system will mix the two degenerate states and lead to a highly polar condition. This was confirmed on the one-electron level with calculations on several symmetrically twisted conjugated systems.
Further calculations indicated that there were crossings between two low-lying states for twisting about certain non-central double bonds as well. It was hypothesized from the results of simple calculations, that the pairing theorem of alternant hydrocarbons provides a framework that explains where and why these non-symmetry determined crossings occur. In general, the implications of the pairing theorem are that twisting a neutral even-alternant hydrocarbon about any double bond should lead to a crossing of two low-lying states.
Upon further i:tivestigation of the connection between the pairing theorem and twisted excited states, the theorem's predictions were confirmed by MNDO calculations. Furthermore, it was shown that small perturbations applied to these systems when the two states become nearly degenerate led to a dramatic polarization across the twisted double bond.
It was found that there are also highly polarizable twisted excited states whose existence is not predicted by the pairing theorem.
Pages
123
Recommended Citation
Hyatt, Gerald C.. (1996). Polarization of certain conjugated systems. University of the Pacific, Thesis - Pacific Access Restricted. https://scholarlycommons.pacific.edu/uop_etds/510
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