Partition Function: Energy States & Force Constants

[DanPhysChem]

Hi All - If I have a potential energy surface with two energy states, one higher than the other, where I can make the assumption that both potential wells can be approximated via harmonic potentials with force constants kA and kB then would the partition function for the system be Z=e^(-hwA/2kT)+e^(-hwB/2kT) where wA=sqrt(kA/m) and wB=sqrt(kB/m)? Also, if the higher energy state was the more likely to be populated at some temperature T, how small would kB (the higher energy state) need to be in terms of kA?

 

[DanPhysChem]

Anyone? Maybe I should have posted this in Advanced Physics.