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Ciro Santilli (@cirosantilli, 36)

Matter wave (1923, de Broglie hypothesis)

Table of contents
- Electron diffraction experiment Matter wave
  - Diffraction of Cathode Rays by a Thin Film by Thomson and Reid (1927) Electron diffraction experiment
  - Davisson-Germer experiment Electron diffraction experiment
- de Broglie relations Matter wave

Electron diffraction experiment

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Single electron double slit experiment

Diffraction of Cathode Rays by a Thin Film by Thomson and Reid (1927)

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www.nature.com/articles/119890a0

Davisson-Germer experiment (1927, Electron diffraction pattern)

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Figure 1.
Schematic of the Davisson-Germer experiment
. Source.

de Broglie relations

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

The wavelength relation is:

λ = \frac{h}{p}

but since:

v = λ 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.

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1937 Nobel Prize in Physics

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