Bragg Scattering - Need help because it is hard for me.

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SUMMARY

The discussion centers on calculating the Bragg scattering angle for thermal neutrons incident on a crystal with a plane separation of 0.247 nm and energy of 0.0105 eV. The relevant equation used is 2dsin(θ) = nλ, where θ is the Bragg angle, d is the plane separation, and λ is the wavelength derived from the de Broglie relation. The user seeks clarification on whether other energies will also be present in the scattered beam, indicating a need for deeper understanding of neutron scattering principles.

PREREQUISITES
  • Understanding of Bragg's Law in crystallography
  • Familiarity with the de Broglie wavelength calculation
  • Knowledge of thermal neutron properties and behavior
  • Basic principles of wave-particle duality in quantum mechanics
NEXT STEPS
  • Study the derivation of the de Broglie wavelength for particles
  • Explore advanced applications of Bragg's Law in materials science
  • Investigate the implications of energy selection in neutron scattering experiments
  • Learn about the continuous energy spectrum of thermal neutrons and its significance
USEFUL FOR

Students and researchers in physics, particularly those focusing on crystallography, neutron scattering, and quantum mechanics. This discussion is beneficial for anyone seeking to understand the principles of Bragg scattering and its applications in material analysis.

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I am really stuck on this problem. This entire section I have been teaching myself using the homework answers but I have no idea where to start. Thanks anyone.

Question:
A beam of thermal neutrons emerges from a nuclear reactor and is incident on a crystal as shown below. The beam is Bragg scattered from a crystal whose scattering planes are separated by 0.247nm. From the continuous energy spectrum of the beam we wish to select neutrons of energy 0.0105eV. Find the Bragg scattering angle that results in a scattered beam of this energy. Will other energies also be present in this scattered beam?

http://qaboard.cramster.com/answer-board/image/373f241a0a260e4f6fd216bbcb88754a.jpg



Homework Statement


d = 0.247 nm
E of neurons 0.0105ev



Homework Equations


http://earth.esa.int/applications/data_util/SARDOCS/_icons/c3_bragg.jpg

http://earth.esa.int/applications/data_util/SARDOCS/_icons/c3_brag_formula.jpg
http://earth.esa.int/applications/data_util/SARDOCS/_icons/c3_brag_formula1.jpg

The Attempt at a Solution



2dsin(tetha) = n(lamda)
from here sin(tetha) comes.
 
Last edited by a moderator:
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Calculate the wave-length of the neutron through the de Broglie-relation. Then use the Bragg condition to identify the angle.
 

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