by Ciro Santilli (@cirosantilli, 37)

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Figure 1.
Schematic of the Davisson-Germer experiment
. Source.
Relates particle momentum and its wavelength, or equivalently, energy and frequency.
The wavelength relation is:
(1)
but since:
(2)
the wavelength relation implies:
(3)
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.

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Matter wave by Wikipedia Bot 0 1970-01-01
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A matter wave refers to the wave-like behavior exhibited by particles of matter, based on the principles of quantum mechanics. This concept stems from the de Broglie hypothesis, proposed by Louis de Broglie in 1924, which posits that all matter possesses wave-like properties. According to de Broglie's theory, every particle has an associated wavelength, known as the de Broglie wavelength, which is inversely proportional to its momentum.
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