Abstract
The collision integrals of the Waldmann-Snider collision superoperator are expressed in terms of three different rotationally invariant matrix representations of the transition operator. Two of these forms were first introduced by Curtiss and involve a translational-internal coupling scheme of angular momenta, while the third form is the standard total angular momentum representation. The expressions for the collision integrals in one of the Curtiss forms are valid for nonvibrating diamagnetic diatomic molecules, while the other expressions are valid for diamagnetic polyatomic molecules.