The Double Slit Interference And Davisson-Germer Experiment

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The double slit interference and Davisson-Germer experiments.

In 1801 Thomas Young provided some very strong evidence to support the wave nature of light, he placed a monochromatic light in front of a screen with two slits cut into it, and observed an interference pattern, only possible if light was a wave. In 1965 Richard Feynman came up with a thought-experiment that was similar to Young’s experiment. In Feynman’s double-slit experiment, a chosen material is fired at a wall which has two small slits that can be opened and closed at will – some of the material gets blocked and some passes through the slits, depending on which ones are open.
Based on the pattern that is detected beyond the wall by a specific detector – one can distinguish whether the material coming through behaves as either a wave or particle.
When particles are fired at the wall with both slits open, they are more likely to hit the detector in one specific area, whereas waves interfere with each other creating an interference pattern.
Feynman proposed that electrons – historically thought to be particles – would actually produce the pattern of a wave in the double-split experiment.
Unlike water waves for example, Feynman emphasised that when electrons are fired through the slits one at a time, an interference pattern would be produced. He then famously said that this phenomenon “has in it the heart of quantum physics [but] in reality, it contains the only mystery.”
Finally in 2012 Feynman’s thought-experiment had been accurately carried out by a team of researchers. The team managed to “show a full realization of Feynman’s thought experiment and illustrate key features of quantum mechanics: interference and the wave-particle duality of matter.”

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...c energy of an accelerated electron, we get the equation:
1/λ = n/2dsinθ = p/h = (√2mE)/h = (√2meV)/h
Equation (1)

Davisson and Germer found that by varying the applied voltage to the electron gun, the maximum intensity of electrons diffracted by the atomic surface was found at different angles. The highest intensity was found to be at an angle θ = 50° with a voltage of 54 V, giving the electrons a kinetic energy of 54 eV.
According to the de Broglie relation and Bragg's law, a beam of 54 eV had a wavelength of 0.167 nm. The experimental outcome was 0.165 nm via the grating equation, which closely matched the predictions. Davisson and Germer's accidental discovery of the diffraction of electrons was the first direct evidence confirming de Broglie's hypothesis that particles can have wave properties as well.

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