Vibrational contributions to the molecular polarizability and hyperpolarizabilities are calculated for OH, OH+, and OH− for an electric field directed along the bond axis. It was found that vibrational averaging of the polarizability works reasonably well for OH and OH−, but fails for OH+ , giving a result 16% to low. For the hyperpolarizabilities, the vibrational averaging strongly underestimates the vibronic contribution, whose size can exceed the electronic contribution, and therefore disqualifies this procedure for evaluation of these types of higher-order molecular properties.
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Ludwik Adamowicz (1988) studied this question.
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