# wavelength derivations

1. wavelength from frequency

   symbol | description | unit | variable name
   --- | --- | --- | ---
   \(c\) | speed of light | \(\frac{m}{s}\) |
   \(\nu\) | frequency | \(Hz\) | frequency {:}
   \(\lambda\) | wavelength | \(m\) | wavelength {:}

   The pattern : for the first dimensions can represent {spectral}, {time}, {time,spectral}, or no dimensions at all.

   \[\lambda = \frac{c}{\nu}\]

2. wavelength from wavenumber

   symbol | description | unit | variable name
   --- | --- | --- | ---
   \(\lambda\) | wavelength | \(m\) | wavelength {:}
   \(\tilde{\nu}\) | wavenumber | \(\frac{1}{m}\) | wavenumber {:}

   The pattern : for the first dimensions can represent {spectral}, {time}, {time,spectral}, or no dimensions at all.

   \[\lambda = \frac{1}{\tilde{\nu}}\]