Abstract
The relative changes in pattern for O18 and C13 substituted carbon dioxide are calculated. The frequencies for the isotopic carbon dioxide molecules and the associated normal coordinates are obtained for a harmonic potential function. These are then used as the basis for the ground-state vibrational wave functions. The bond breaking probability integrals are evaluated for various values of the ``critical'' internuclear separation rc, and a study is made of the change in predicted bond breaking ratios as a function of rc. The values of rc are chosen which give the experimental pattern for O16C12O16 and then the relative changes in pattern are calculated for the other molecules and are compared with experimental values. Especially striking is the fact that the calculation faithfully reproduces the change in pattern for the case of a heavier molecule, which is more likely to fragment than a lighter one, as well as for the reverse case. It is concluded that a Franck-Condon type calculation adequately describes the electron impact process in carbon dioxide.
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