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Structure Factor


The structure factor S_Gamma of a discrete set Gamma is the Fourier transform of delta-scatterers of equal strengths on all points of Gamma,

 S_Gamma(k)=intsum_(x in Gamma)delta(x^'-x)e^(-2piikx^')dx^'=sum_(x in Gamma)e^(-2piikx).

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References

Baake, M.; Grimm, U.; and Warrington, D. H. "Some Remarks on the Visible Points of a Lattice." J. Phys. A: Math. General 27, 2669-2674, 1994.

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Structure Factor

Cite this as:

Weisstein, Eric W. "Structure Factor." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/StructureFactor.html

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