# De Broglie thermal wavelength

- Page ID
- 5664

The thermal de Broglie wavelength is roughly the average de Broglie wavelength of the gas particles in an ideal gas at the specified temperature. It is defined as

\[\Lambda= \sqrt{\frac{h^2}{2\pi mk_BT}}\]

where

*h*is the Planck constant*m*is the mass- \(k_B\) is the Boltzmann constant
*T*is the temperature.

## References

- ↑ Louis-Victor de Broglie "On the Theory of Quanta" Thesis (1925)

## Related reading

- Zijun Yan, "General thermal wavelength and its applications", Eur. J. Phys.
**21**pp. 625-631 (2000)