Numerically stable form factor of any polygon and polyhedron

Wuttke, J.

doi:10.1107/S1600576721001710

Journal of Applied Crystallography Journal of Applied
Crystallography

IUCr IT WDC

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Figure 5
Modulus of the form factor of a truncated tetrahedron (trigonal pyramidal frustum). The base is an equilateral triangle in the xy plane, oriented so that an edge points in the y direction, with edge length L = 1; the dihedral angle is 72°; the height H = L/2. The plot shows $[{\rm Re}F]$ versus q for the off-symmetric direction $[{{\hat{\bf q}}} = (1,2,3)/ {14} ^{1/2}]$ . Blue spots are computed using the analytical expressions (9)