20nm Fringe Visibility Map

face-centered cubic icosahedral twin

Patience while loading:
This model has 10 crystals, each with four (111) bands (d=a/Sqrt[3]),
three (200) bands (d=a/Sqrt[4]), and six (220) bands (d=a/Sqrt[8]),
drawn with 2 circles per band over the surface of an opaque sphere.
75% of the 40 (111) bands run as proximate pairs,
all thirty (200) bands run alone, and
half of the 60 (220) bands (dark grey) run in packs of 5.

Note that visibility bands for one of the fcc crystals are drawn (with labeled zones) in yellow, and that one each of the twelve 5-fold zones, and the twenty 3-fold zones, for the icosahedral structure are labeled in magenta. Also note that the 3-fold icosahedral symmetry zones lie at the center of the dark-grey (220) triangles, while the 3-fold fcc-symmetry or [111] zones lie at the corners of the dark-grey triangles. The 4-fold fcc-[100] zones are centered on the sides of these triangles, while the 2-fold fcc-[110] zones are shared between icosahedral 5-fold and fcc 3-fold sites.


Created by P. Fraundorf at UM-St. Louis using Mathematica, and LiveGraphics3D by Martin Kraus