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American physicists Davisson and Germer did a diffraction experiment in the
1920s to demonstrate the wave-like property of electrons. If d is 0.215 nm for a cubic
lattice crystal (see Fig. 1), and the incident beam is perpendicular to the surface of the
crystal,
(a)  find the optical path length difference between ray 1 and ray 2 in terms of d
and φ.
(b)  how much voltage has to be applied to a beam of electrons so the diffraction
peak would be observed at φ = 53.13°?

Diffracted rays
Incident rays 1
2
1
2
Figure 1: Problem 2.
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Transcribed Image Text:Diffracted rays Incident rays 1 2 1 2 Figure 1: Problem 2.
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