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
- Raises
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>