De Broglie Wavelength
Key Stage 5
Meaning
The de Broglie wavelength is the wavelength associated with a particle and is inversely proportional to its momentum, demonstrating the wave-like nature of matter.
About de Broglie Wavelength
Given by the formula 𝜆 = ℎ 𝑝 λ= p h
, where
𝜆 λ is the wavelength, ℎ h is the Planck constant, and 𝑝 p is the momentum. Suggests that particles such as electrons have wave properties. Confirmed by experiments such as electron diffraction through a crystal. Fundamental to the development of quantum mechanics. The concept applies to all particles, including macroscopic objects, but the wavelength is significant only for very small particles like electrons.
Formula
\[~ E= h \nu , \qquad \] \(~c= \lambda \nu , \qquad \) \(~ E= \frac {hc} {\lambda} = pc, \qquad \)
Examples
Electrons showing diffraction patterns when passing through a thin crystal. The de Broglie wavelength of a moving car is extremely small and not observable.