thermal_deBroglie_wavelength

plasmapy.formulary.quantum.thermal_deBroglie_wavelength(

T_e: Quantity,

) → Quantity

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

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