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 [quote="Tony Gardner"][materials science mode] Does anyone know if there's a general formula to compute the multiplicity of a certain [i](hkl)[/i]-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: [b]if[/b] h==k==l M=6 [b]elseif[/b] h==k or k==l or h==l | | | | [b]end[/b] 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][/quote]
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Tony Gardner
Posted: Thu Sep 28, 2006 10:14 am    Post subject: 1

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!
Sumudu*
Posted: Tue Sep 26, 2006 8:49 pm    Post subject: 0

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.
Lepton*
Posted: Wed Jul 26, 2006 5:00 pm    Post subject: -1

I hate to see a good question with no replies, but I cannot help. I'll check with some people today..
Tony Gardner
Posted: Tue Jul 25, 2006 11:53 am    Post subject: -2

[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]