Abstract
A harmonic two-photon cross section sum rule for benzene b 2u modes (ν 14 and ν 15) in the à 1B 2u←X̃ 1A 1g transition is derived. An approximate (but accurate) form of this rule based on skeletal mode displacements is used to obtain absorptivity values for C 6H 6 14 1 0 (6.3×10 −50 cm 4 s mol −1 photon −1) and 15 1 0 (1.6×10 −50 cm 4 s mol −1 photon −1) from the measured absorptivity ratio, δ ↑↑(15)/δ ↑↑(14) and from the measured value of 14 0 1. We also report the sum-rule-predicted hot and cold band absolute absorptivities in the other D 6h benzenes, C 6D 6, 13C 6H 6 and 13C 6D 6.
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