The collision cross section of rotational transition J=0-->1 in the CHF3 molecule caused by nonpolar peturbers has been measured. The observed cross sections depend linearly on (mQ(2)(2))(1/3), where Q(2) is the quadrupole moment of the perturber and m is the reduced mass of the colliding molecules. Calculations based on the Murphy-Boggs theory using the dipole-quadrupole and first order dispersion interactions for a description of CHF3 + C2H2, C6H6, CO2, O-2 collisions are in qualitative agreement with the experimental results. The theoretical values are in general lower than the experimental values, and especially in the case of O-2 collisions, the first order dispersion interaction contributes largely to the collision cross section.