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

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