What is the Force Constant for Gaseous 14N16O?

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The discussion revolves around calculating the force constant for gaseous 14N16O using its fundamental vibrational frequency of 1904 cm-1. Participants clarify that the frequency given in cm-1 is actually a wavenumber, which needs to be converted to Hz for the calculation. The reduced mass is calculated as 1.24e^-26 kg/molecule, and the force constant is initially computed as 1.77e^-22 kg m^2. There is confusion regarding the use of wavenumber in the formula for force constant, prompting a discussion on the correct conversion from wavenumber to frequency. The conversation emphasizes the importance of using the correct units and understanding the relationship between wavenumber and frequency in the context of the simple harmonic oscillator model.
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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 ??
 
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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"?
 
cm^-1 is the wavenumber.
 
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?
 
Ok...

Good point, I will change wave number to frequency.
 
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