thermal_deBroglie_wavelength

plasmapy.formulary.quantum.thermal_deBroglie_wavelength(T_e: Unit('K'))

Calculate the thermal de Broglie wavelength for electrons.

Aliases: lambdaDB_th_

Parameters

T_e (Quantity) – Electron temperature.

Returns

lambda_dbTh – The thermal de Broglie wavelength for electrons in meters.

Return type

Quantity

Raises

• TypeError – If argument is not a Quantity.

• UnitConversionError – If argument is in incorrect units.

• ValueError – If argument contains invalid values.

Warns

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

Notes

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

\[λ_{dbTh} = \frac{h}{\sqrt{2 π m_e k_B T_e}}\]

Examples

>>> from astropy import units as u
>>> thermal_deBroglie_wavelength(1 * u.eV)
<Quantity 6.9193675e-10 m>