Why is Wavenumber (1/cm) Considered a Unit of Frequency?

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SUMMARY

Wavenumber, expressed in units of 1/cm, is not a frequency itself but serves as a spatial representation of frequency. The relationship between frequency (f) and wavenumber (1/λ) is established through the equation c = fλ, where c represents the speed of light. By rearranging this equation, one can derive that wavenumber is proportional to frequency when divided by the speed of light. This insight clarifies the connection between these two concepts in wave physics.

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if frequency is (1/sec), then why is wavenumber (1/cm) considered a unit of frequency?
 
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asdf1 said:
if frequency is (1/sec), then why is wavenumber (1/cm) considered a unit of frequency?
It is considered the spatial representation of frequency, it in itself is not a fequency. However, you can obtain the the wavenumber by dividing the frequency by the speed of light. Observe,

[tex]c = f\lambda \Leftrightarrow \frac{1}{\lambda} = \frac{f}{c}[/tex]

[tex]\frac{1}{\lambda}\propto f[/tex]
 
wow! never thought of it that way before~ thank you!
 

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