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{c}
{{wiki=Matter_wave#de_Broglie_relations}}

Relates particle momentum and its wavelength, or equivalently, energy and frequency.

The wavelength relation is:
$$
\lambda = \frac{h}{p}
$$
but since:
$$
v = \lambda f
E = p v
$$
the wavelength relation implies:
$$
\frac{v}{f} = \frac{h}{p}
f = \frac{v p}{h}  = \frac{E}{h}
$$

Particle wavelength can be for example measured very directly on a <double-slit experiment>.

So if we take for example electrons of different speeds, we should be able to see the diffraction pattern change accordingly.


de Broglie relations

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de Broglie relations

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de Broglie relations

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