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

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Wavenumber (1/cm) is considered a unit of frequency because it represents the spatial frequency of a wave. While frequency is defined as (1/sec), wavenumber can be derived from frequency by dividing it by the speed of light. The relationship is expressed in the equation c = fλ, leading to the conclusion that wavenumber is proportional to frequency. This connection highlights the interplay between spatial and temporal descriptions of waves. Understanding this relationship clarifies why wavenumber is relevant in discussions of frequency.
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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,

c = f\lambda \Leftrightarrow \frac{1}{\lambda} = \frac{f}{c}

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