Equipartition Theorem and Microscopic Motion

1. Apr 30, 2008

kkaplanoz

1. The problem statement, all variables and given/known data

What is the typical rotational frequency f_rot for a molecule like N2 at room temperature T = 298 K? Assume that d for this molecule is 10^-10 m. Take the atomic mass of N2 to be m = 4.65 *10^-26 kg.

2. Relevant equations
w = omega
w_x^2 = (2kbT)/(md^2) (where kb is boltzmann's constant)
f=w/(2*pi)

3. The attempt at a solution

When plugging in the numbers, w_x is equal to 4.20568*10^12. Dividing this by 2*pi gives the frequency as 6.69*10^11. This is not right. I did a practice problem that was the same setup and got that one right. Where did I go wrong?

Thanks!