What is the Force Constant for Gaseous 14N16O?

[jester07232]

Homework Statement

The fundamental vibrational frequency of gaseous 14N16O is 1904 cm-1.

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

Homework Equations

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

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 ??

 

[Matterwave]

What does it mean when there is a frequency given in cm-1? Frequency should be given in Hz (or per time of some sort). Perhaps instead of "fundamental frequency" they meant "wave number/vector"?

 

[jester07232]

cm^-1 is the wavenumber.

 

[Matterwave]

If you have K = u(2pi*v) why are you plugging in your wave number for v? v is a frequency yes? So how do you convert a wave number into frequency?

 

[jester07232]

Ok...

Good point, I will change wave number to frequency.