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Tony Gardner
Daedalian Member

 Posted: Tue Jul 25, 2006 11:53 am    Post subject: 1 [materials science mode] Does anyone know if there's a general formula to compute the multiplicity of a certain (hkl)-reflection for a given type of crystal structure? I'm writing a bit of Matlab code and I want to include a computation of the multiplicity of the reflection I'm looking at. I could go with something like: if h==k==l M=6 elseif h==k or k==l or h==l | | | | end but I'd like it to be cleaner than that. So, can anyone help me out? Btw I'm interested in fcc and bcc structures. [/materials science mode]
Lepton*
Guest

 Posted: Wed Jul 26, 2006 5:00 pm    Post subject: 2 I hate to see a good question with no replies, but I cannot help. I'll check with some people today..
Sumudu*
Guest

 Posted: Tue Sep 26, 2006 8:49 pm    Post subject: 3 Could you explain how "multiplicity" is related to "(hkl)"? I'd like to help, but I don't know any materials science I guess a start would be filling in your program above to cover all the cases.
Tony Gardner
Daedalian Member

 Posted: Thu Sep 28, 2006 10:14 am    Post subject: 4 Okay, a quick lesson on crystal diffraction. For a certain crystal type,Bragg's Law describes the relation between the spacing between the atomic planes, and the angles under which incident photons of a certain wavelength produce diffraction maxima after passing. These angles depend on the plane off which the incident photons reflect; this plane is identified using hkl-indices. The multiplicity indicates how many different hkl-combinations, i.e. how many different planes, result in the same diffraction angle. But I've already sort of solved this issue. Thanks anyways!
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