Beyond the x-K relations

Abstract
Explicit formulae are given for all off-diagonal 1–1 and 2–2 resonance terms in the vibrational hamiltonian following the first contact transformation. Such formulae are needed to test the quantitative accuracy of the generalized x-K relation recently published by Della Valle. These formulae are used in a test calculation for linear HCN and DCN and are found only modestly to improve the predicted energy levels for the former, but dramatically improve those of the latter.

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