Fundemental Frequency units?

1. The problem statement, all variables and given/known data
The fundamental vibrational frequency of gaseous 14N16O is 1904 cm-1.

a. Calculate the force constant, using the simple harmonic oscillator model


2. Relevant equations

K=u((2pi)(v))^2 u=reduced mass

3. The attempt at a solution

u=[(14)(16)/(30)] (1kg/6.02e^26)= 1.24e^-26 Kg/molecules

K=(1.24e^-26 kg)((2pi)(1904 cm^-1))^2= 1.77e^-22 kg m^2

How do I get the answer in N/m ??

 

cm^-1 is the wavenumber.

 

Ok...

Good point, I will change wave number to frequency.