quantitykind:AngularWavenumber

Type
Description

Properties
"wavenumber" is the spatial frequency of a wave - the number of waves that exist over a specified distance. More formally, it is the reciprocal of the wavelength. It is also the magnitude of the wave vector.
$$k = \frac{2\pi}{\lambda}= \frac{2\pi\upsilon}{\upsilon_p}=\frac{\omega}{\upsilon_p}$$, where $$\upsilon$$ is the frequency of the wave, $$\lambda$$ is the wavelength, $$\omega = 2\pi \upsilon$$ is the angular frequency of the wave, and $$\upsilon_p$$ is the phase velocity of the wave. Alternatively: $$k = \frac{p}{\hbar}$$, where $$p$$ is the linear momentum of quasi free electrons in an electron gas and $$\hbar$$ is the reduced Planck constant ($$h$$ divided by $$2\pi$$); for phonons, its magnitude is $$k = \frac{2\pi}{\lambda}$$, where $$\lambda$$ is the wavelength of the lattice vibrations.
Annotations
Angular Wavenumber(en)
belongs to SOQ-ISO

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