The Zero Point Energies of Isotopic Homologues and Isomers

Jacob Bigeleisen, Paul Goldstein
1963 Zeitschrift fur Naturforschung A-A Journal of Physical Sciences  
An explicit formula is derived for the zero point energy of a system of coupled harmonic oscillators. It is shown that for the. case of isotopic homologues this leads to an approximate linear relation in the number of equivalent isotopic substituents. It is shown that the zero point energy differences of successive members of an isotopic homologous series increases with further substitution of the heavy isotope. Through a study of the parabolic deviations from the linear rule, it is shown that
more » ... ntermediate members of an isotopic homologous series form a better basis for interpolation and extrapolation than the end members. The appropriate intermediate members are given by the second order sum rule.
doi:10.1515/zna-1963-0217 fatcat:gammewe72ncuxpq3vmgqvxkq5a