A question regarding particle diffraction.

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SUMMARY

The discussion centers on calculating the diffraction angles of neutrons with an energy of 0.050 eV using Bragg's Law. The atomic plane spacing is specified as 0.20 nm. The initial approach involved solving for θ using the equation mλ = sin2θ, but the user encountered angles exceeding 90 degrees, indicating a calculation error. The need to calculate the wavelength of the neutrons is emphasized as a crucial step in resolving the problem.

PREREQUISITES
  • Understanding of Bragg's Law in crystallography
  • Knowledge of neutron energy and wavelength calculations
  • Familiarity with the concept of atomic plane spacing
  • Basic skills in trigonometry for angle calculations
NEXT STEPS
  • Calculate the wavelength of neutrons using the formula λ = h/p, where h is Planck's constant and p is momentum.
  • Review the application of Bragg's Law for different orders of diffraction (m = 1, 2, 3).
  • Explore the implications of diffraction angles exceeding 90 degrees in physical contexts.
  • Investigate the properties of neutron beams and their interactions with crystalline structures.
USEFUL FOR

Students in physics, particularly those studying quantum mechanics and crystallography, as well as researchers working with neutron diffraction techniques.

BruceSpringste
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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!
 
Physics news on Phys.org
but θ>90degrees
Looks like a calculation error.

Did you calculate the wavelength of those neutrons?
 

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