Abstract
A complete set of symmetry-adapted vibronic states for strongly coupled orthorhombic T(X)(e+t2) JT systems are derived analytically using projection operator techniques from the exact infinite-coupling states. Details are given for the case of a T1 orbital state at a site of tetrahedral symmetry Td. The purpose of this calculation is to provide a complete set of basis states from which it is possible to calculate analytically the second-order reduction factors for this JT system as shown in the companion paper. The states are used here to obtain the energy level diagrams for the first few excited states using appropriate choices for the parameter values. The results compare favourably with numerical results obtained elsewhere for similar systems.
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