2 pi f = sqrt(k/m)
for m you can use that reduced mass or just use the mass of a hydrogen atom which is about 1 gram/mol or .001 kg /6*10^23 atoms = (1/6)*10^-26 = 1.66 *10^-27 kg because the H is the part that moves because the Cl is 35.5 times as massive which is what that "reduced mass" is about.
The molecular bonds of diatomic molecules can be modeled as
springs. The spring constant, k, for a HCl molecule is known to be 480 N/m. If the
reduced mass of the molecule is 1.626×10-27 kg, what is the frequency at which the
atoms in this molecule vibrate?
3 answers
http://hyperphysics.phy-astr.gsu.edu/hbase/molecule/vibrot.html
thank you!