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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 21, 1971 - Issue 3
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Original Articles

Vibronic interaction in the lower electronic states of benzene

II. The hexagonal approximation for the free molecule and the effect of a crystal field

, &
Pages 497-521 | Received 05 Mar 1971, Published online: 16 Dec 2010
 

Abstract

Results of further calculations on the dynamic coupling between the lower B 1u and E 1u electronic states of benzene via a single e 2g mode are presented. In part I we gave the ‘pseudo-cylindrical’ solutions that result when the leading coupling term, linear in the nuclear displacements, is considered (cylindrical Born-Oppenheimer potential). Here we investigate the effect of

1.

(1) the next higher terms in the expansion of the coupling hamiltonian for the free molecule (hexagonal Born-Oppenheimer potential);

2.

(2) a crystal field anisotropy.

From the scanty data on the coupling constants available a priori it would follow that the refinement introduced by (1) is small for benzene. On the contrary, the effect of even a small crystal field anisotropy is predicted to be appreciable.

The results of the calculations are analysed by comparison with experimental data on the benzene crystal at low temperature. A consistent interpretation of both magnetic resonance results and the triplet ← singlet absorption spectrum is obtained.

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