Neutron Diffraction: Finding Wavelength of Neutron

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SUMMARY

The wavelength of neutrons in a diffraction experiment can be calculated using the formula λ = h/mv, where h is Planck's constant, m is the mass of the neutron, and v is the speed of the neutron. For thermal neutrons, which are in thermal equilibrium with the moderator, the accepted speed is approximately 2200 m/s. Substituting this value into the equation provides a wavelength around 2 nm, confirming the expected result for neutron diffraction experiments.

PREREQUISITES
  • Understanding of neutron properties, specifically thermal neutrons
  • Familiarity with the equation λ = h/mv
  • Knowledge of Planck's constant and neutron mass
  • Basic principles of diffraction and wave-particle duality
NEXT STEPS
  • Research the properties of thermal neutrons and their applications in diffraction
  • Study the derivation and implications of the equation λ = h/mv
  • Explore the role of moderators in neutron experiments
  • Learn about different types of neutron sources and their characteristics
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Students and researchers in physics, particularly those focusing on neutron scattering, diffraction techniques, and experimental particle physics.

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Homework Statement


In an experimental setup (shown in attachment) like this for neutron diffraction, how do I find the wavelength of the neutron. It should be around 2nm.


Homework Equations



\lambda = \frac{h}{mv}=\frac{396}{v}

The Attempt at a Solution



I am having trouble with finding v of the neutron. Does it have to do with the total length of the tube?
 

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The only speed information in your diagrams states that the neutrons are 'thermal' neutrons. This means that they are in thermal equilibrium with the moderator.
In an online reference site I read that neutrons have a range of speeds but the accepted speed for thermal neutrons is 2200 m/s.
In the absence of any other information I would use this and at least get some sort of answer.
 

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