H. Bettermann et R. Kok, COUPLING BETWEEN LOCALIZED C-H OSCILLATORS OBTAINED FROM SEMIEMPIRICAL 2-DIMENSIONAL POTENTIAL-ENERGY FUNCTIONS, Journal of molecular structure, 348, 1995, pp. 477-480
This contribution presents a theoretical approach based on computation
s of two electronically coupled C-H oscillators located in ortho-, met
a- and para-position, respectively. The two-dimensional potential ener
gy surfaces built up by chosen pair of local oscillators were calculat
ed by semi-empirical quantum chemical calculations. Relevant coupling
was found out in the case of ortho-positioned oscillators. The vibrati
onal eigenvalues were obtained from a two-dimensional Hamilton operato
r using a variational setup.