Pseudo-Jahn-Teller effect in the bicyclic copper(II) complexes containing tetrahedrally distorted chelate cores. Solution of vibronic equations

A: nonstandard approach to the solution of vibronic equations for the pseud o-Jahn-Teller effect is suggested for the bicyclic copper(II) complexes con taining tetrahedrally distorted chelate cores. The representation of the vi bronic wave function as a series in Hermite polynomials: reduces the soluti on of a set of differential equations to the solution of an infinite system of uniform algebraic equations. The method is suggested for the approximat e solution of this system. It allows the ground-state vibronic wave functio n to be determined for the practically important case of strong vibronic co upling. It is shown that a certain continuous set of wave functions with di fferent parameters may satisfy vibronic equations, thus providing possibili ty of explaining the nature of the effects responsible for the EPR line bro adening and disappearance of the paramagnetic absorption signals.