# thermal_deBroglie_wavelength¶

plasmapy.physics.quantum.thermal_deBroglie_wavelength(T_e)

Calculate the thermal deBroglie wavelength for electrons.

Parameters

T_e (Quantity) – Electron temperature.

Returns

lambda_dbTh – The thermal deBroglie wavelength for electrons in meters.

Return type

Quantity

Raises
Warns

~astropy.units.UnitsWarning – If units are not provided, SI units are assumed.

Notes

The thermal deBroglie wavelength is approximately the average deBroglie wavelength for electrons in an ideal gas and is given by

$\lambda_dbTh = \frac{h}{\sqrt{2 \pi m_e k_B T_e}}$

Example

>>> from astropy import units as u
>>> thermal_deBroglie_wavelength(1 * u.eV)
<Quantity 6.91936752e-10 m>