How Is the Angle of Electron Reflection Determined in Quantum Experiments?

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SUMMARY

The angle of electron reflection in quantum experiments is determined using the formula 2d sin(θ) = mλ, where d is the crystal spacing, θ is the reflection angle, m is the order number, and λ is the De Broglie wavelength. In this discussion, electrons accelerated by a voltage of 78.0 V achieve a speed of 5,230,000 m/s, resulting in a De Broglie wavelength of 0.139 nm. Given a crystal spacing of 0.085 nm, the correct reflection angle is calculated to be 70.3°.

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Homework Statement



For this question, h= 6.63×10–34 J.s, c = 3×108 m/s, me= 9.11×10–31 kg, e=1.6×10–19 C. Electrons are accelerated from rest by a voltage of 78.0 V. After that acceleration their speed is 5230000 m/s, their linear momentum is 4.77×10-24 and their De Broglie wavelength is 0.139 nm.

The accelerated electrons are then reflected by a crystal with crystal spacing d of 0.085 nm. Through which angle are they reflected?

(correct answer: 70.3°)

Homework Equations





The Attempt at a Solution



What formula can I use here? I tried using [tex]d sin \theta = m \lambda[/tex], where m is the order number. However I don't know what value to substitute for m...
Is there a better way of appraching this problem?
 
Last edited:
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Use 2dsin(θ) = mλ.
 

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