I have been trying to figure out if, and if so, just how is the shape of the molecules in a gas is taken into account by the MaxwellBoltzman distribution. I know the assumption is perfect spheres, but still, a square hit and a glancing blow on a pool table yield different results. My intuition is also telling me that repeated off center collisions would be required to get those situations where atoms are traveling manyfold faster than the mean. It seems like SIN would have to be in there somewhere.
Any insights?
