Fifty-Facet Model of a Diamond-Cubic Crystal
This model uses faces tangent to an
inscribed sphere, whose diameter was adjusted to 0.921429 times
the vertex sphere so that the ratio between long and
short sides of the {001} faces was three i.e. approximately that
seen in
the
experimental images. Which faces are missing?
How do the
facets compare to those found in nature?
For example, how do shapes of the {110} and {111}
faces compare? Do experimental face sizes, in comparison to
this two-sphere fifty-facet model, reflect the surface energies and/or
growth kinetics expected for their respective surface
lattice structures? Also, should this model
be adjusted to take into account the experimentally-observed
biplanarity of the {110} and the "leftover" ~{227} facets,
e.g. by creating
seventyfour or ninetyeight facet models? Will those
"leftover" facets become more "crystallographic" in the
process, e.g. might the "leftover facet" bend detail in the closeup image
be showing us that {112} faces are more stable than {114}?