Pulling Crystals

This was what I thought of pulling silicon crystal,

and the artifacts that it creates.  This is what I thought that would reduce such ringing artifacts,

$\theta$  for diamond cubic crystals will be,

$OA=OC=\cfrac{3}{4}\sqrt{\cfrac{2}{3}}a$

$OH=\cfrac{1}{4}\sqrt{\cfrac{2}{3}}a$

$\theta=arcsin(\cfrac{OH}{OC})=arcsin(\cfrac{1}{3})=19.47^o$.

where $C$ is at the first layer and is bonded to the next layer of silicon is at $O$.  The next pull does not form up the bond along $OA$, but it is at $19.47^o$ from $O$.  Bonds similar to $CO$ form up else where in the crystal.  After four steps, because $OH=\cfrac{1}{4}AH$, the atom needed at $A$ falls into place.  At each step, a sheet of atoms is shifted into place.

Good night...