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

This is the Bragg's Law equation. So, we have 2(0.085 nm)sin(θ) = 0.139 nm. Rearranging, we get sin(θ) = 0.814. Taking the inverse sine, we get θ = 53.8°. However, this is the angle of incidence. Since the electrons are reflected, the angle of reflection is equal to the angle of incidence. Thus, the angle of reflection is 53.8°. In summary, the reflected electrons have an angle of reflection of 53.8° after being accelerated and reflected off a crystal with a crystal spacing of 0.085 nm.
  • #1
roam
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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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  • #2
Use 2dsin(θ) = mλ.
 

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

1. What is quantum physics?

Quantum physics is a branch of physics that studies the behavior and interactions of particles on a microscopic level. It explains the behavior of matter and energy at the atomic and subatomic scale.

2. What is the difference between classical physics and quantum physics?

Classical physics describes the physical world using macroscopic laws and principles, while quantum physics describes the behavior of particles on a microscopic level, taking into account the principles of uncertainty and probability.

3. How does quantum physics impact our daily lives?

Quantum physics has led to the development of many technologies that we use in our daily lives, such as computers, cell phones, and lasers. It also plays a crucial role in the fields of medicine, energy, and communication.

4. What is the uncertainty principle in quantum physics?

The uncertainty principle states that it is impossible to know the exact position and momentum of a particle at the same time. This is due to the wave-particle duality of matter, where particles can behave like waves and have uncertain properties.

5. What are some current areas of research in quantum physics?

Some current areas of research in quantum physics include quantum computing, quantum cryptography, and quantum entanglement. Scientists are also studying the potential applications of quantum mechanics in fields such as biology and materials science.

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