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# What is the De Broglie equation?

The de Broglie equation is lambda_(dB) = h/p where lambda_(dB) is the de Broglie wavelength, h is , and p is the momentum of the particle. The de Broglie hypothesis tells you about the wave-particle duality of matter.

It can also be written equivalently as nu_(dB) = E/h where nu_(dB) is the frequency, E is the energy, and h is Planck's constant.

De Broglie came to this hypothesis by borrowing ideas from Planck's quantization of energy of light and Einstein's relativity.  E_(light) = h nu = cp where c is the speed of light.

Also, recall lambda nu = c

After manipulating the equation, you find h/p = c/nu = lambda which is a relation that holds for light.

De Broglie hypothesized that this relation could also hold for particles, and it turns out that his guess was right!