A question regarding particle diffraction.

AI Thread Summary
The discussion revolves around calculating the diffraction angles for neutrons emerging from a reactor, specifically targeting an energy of 0.050 eV using Bragg's law. The atomic plane spacing is given as 0.20 nm, and the user initially attempts to solve for the angles using the equation mλ = sin2θ, but encounters issues with angles exceeding 90 degrees. A suggestion is made to first calculate the wavelength of the neutrons to proceed accurately. The conversation highlights the importance of ensuring correct calculations to avoid errors in determining diffraction angles. Accurate calculations are essential for solving diffraction problems in particle physics.
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!
 
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but θ>90degrees
Looks like a calculation error.

Did you calculate the wavelength of those neutrons?
 
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