Oxford Solid State Physics 2015
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Re: Scattering Experiments Posted by Steve Simon on March 8, 2015, 4:49 pm, in reply to "Scattering Experiments"

 Remember that Bragg's law 2 d sin theta = n lambda was our derived condition for constructive interference assuming a given spacing between lattice planes d. Suppose there is some family of lattice planes {hkl} with spacing d=2 pi/|G(hkl)| and (hkl) the shortest recip latt vector in the given direction. Suppose this satisfies 2 d sin theta = lambda. Now note that there is also a set of planes corresponding to {2h,2k,2l} which will have half the lattice plane spacing, or equivalently in the Bragg formula you can use the same value of d, but n=2. So if you consider all possible {hkl} you have already considered all possible n. Does that make sense?
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 Message Thread Scattering Experiments - Saad March 8, 2015, 2:36 pm Re: Scattering Experiments - Steve Simon March 8, 2015, 4:49 pm Re: Scattering Experiments - Saad March 8, 2015, 5:42 pm « Back to index

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