Experimental data for the heat capacity of N2 as a function of temperature are provided.
Estimate the frequency of vibration of the N2 molecule.
Energy of harmonic oscillator = (n+1/2)ħω
Average molecular energy = C*T
But this is an expression for the total energy of a molecule.
Presumably the amount of energy within the two vibrational modes is:
The Attempt at a Solution
All I can think to do is equate the two expressions for the energy of the oscillator:
But I have no idea where to go now. In order to find frequency I would want to solve for ω, from which frequency can be trivially determined. However, how am I to know which integer value to use for n?
I am also very unsure as to my construction of the problem.
Any help/guidance greatly appreciated.