In liquid tetrafluoromethane collision-induced absorption arises through octopolar and hexadecapolar induction. Induced dipoles are modulated by both the relative rotation and translation of interacting groups of molecules. To a good approximation the molecules rotate freely. To treat the more complicated many-body translational problem we apply information theory, which uses as input only spectral moments. We thus avoid the need to make assumptions about the system dynamics. At 110 K our computed absorption spectrum agrees well with experiment. The calculations are sensitive to the assumed values of the molecular octopole and hexadecapole moments. Our results suggest, subject to certain provisos, that the current values for these moments are accurate to ±5%.