The delocalisation energy of benzene and the non-empirical MO theory |
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Authors: | Melvyn P Melrose |
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Institution: | (1) Department of Chemistry, King's College London, WC2R 2LS Strand, London, UK |
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Abstract: | Algebraic expressions for the vertical Delocalisation Energy (DE) of benzene are derived from non-empirical MO theory. For
comparison with early work in the π-electron approximation, and ultimately with Hückel theory, the results are formulated
in terms of a core resonance integral,β, and π-electronic repulsion integrals. All integral values are inferred from the results ofab initio SCF calculations. Two expressions are derived, which refer to two ways of forming the localised π MOs: one where three pairs
of adjacent atomic orbitals are selected from a set of six orthogonalised orbitals; and another where a non-orthogonal set
of atomic orbitals is used. The first expression is formally similar to an expression originally derived by Pople from a different
point of view and with many approximations. This expression gives too large a magnitude for DE when used with anab initio value ofβ. The second expression gives a result much closer to an empirical value of DE and shows that the main reason for DE being
about 50% of 2β rather than 2β is the stabilising effect of overlap in the localised structure, and that the less important factor is the inclusion of electronic
repulsion. |
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Keywords: | Delocalisation energy Non-empirical MO Resonance integral |
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