A question regarding particle diffraction.

In summary, the problem is determining the angles at which neutrons with an energy of 0.050 eV will be diffracted when passed through a crystal with atomic planes 0.20 nm apart. The solution involves using Braggs law and calculating the wavelength of the neutrons. However, there may be a calculation error and the solution may be more complex than initially thought.
  • #1
BruceSpringste
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0

Homework Statement


"A beam of neutrons that emerges from a nuclear reactor contains neutrons with a variety of energies. To obtain neutrons with an energy of 0.050 eV, the beam is passed through a crystal whose atomic planes are 0.20 nm apart. At what angles relative to the original beam will the desired netruons be diffracted?"


Homework Equations


Braggs law
mλ=sin2θ


The Attempt at a Solution


My first thought was to use braggs law and simply solve for θ and m=1,2,3... but θ>90degrees.
However the problem seems a lot more complex than that. My book doesn't have any answers to the question so I can't double check if I have done this right!
 
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  • #2
but θ>90degrees
Looks like a calculation error.

Did you calculate the wavelength of those neutrons?
 

Related to A question regarding particle diffraction.

1. What is particle diffraction?

Particle diffraction is the phenomenon in which particles, such as electrons or photons, exhibit wave-like behavior when passing through a barrier or slit. This results in a diffraction pattern, which can be used to study the properties of the particles.

2. How does particle diffraction occur?

Particle diffraction occurs when a particle's wavelength is comparable to the size of the barrier or slit it is passing through. As the particle interacts with the edges of the barrier or slit, it diffracts, or bends, creating a pattern of constructive and destructive interference.

3. What types of particles can undergo diffraction?

Any type of particle with wave-like properties, such as electrons, protons, and photons, can undergo diffraction. However, the effect is most noticeable with small particles, such as electrons, due to their shorter wavelengths.

4. What is the importance of studying particle diffraction?

Particle diffraction is important in understanding the wave-particle duality of matter and in studying the properties of particles at the atomic and subatomic levels. It also has practical applications in fields such as materials science and microscopy.

5. How is particle diffraction used in research?

In research, particle diffraction is used to study the structure and behavior of particles, determine their properties, and investigate fundamental principles of quantum mechanics. It is also used in various technologies, such as electron microscopy, to image and analyze materials at the nanoscale.

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