Optimization of the Czochralski method for InSb crystal ... - CUMC
Optimization of the Czochralski method for InSb crystal ... - CUMC
Optimization of the Czochralski method for InSb crystal ... - CUMC
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Background<br />
Analysis <strong>of</strong> <strong>InSb</strong> <strong>crystal</strong><br />
Summary<br />
References<br />
The model<br />
Future work<br />
Stress equations<br />
Pressures (stress) that give rise to relative displacements<br />
(strain)<br />
Dependent on strain equations<br />
General matrix equation (isotropic material)<br />
σ ij =<br />
where<br />
E<br />
(1 + ν) e Eν<br />
ij +<br />
(1 + ν)(1 − 2ν) e llδ ij − α 0(T − T g )E<br />
δ ij ,<br />
(1 − 2ν)<br />
or, in our case,<br />
e ll = e rr + e φφ + e zz , δ ij =<br />
e ll = u r + u r<br />
{<br />
1 i = j<br />
0 i ≠ j<br />
Devon Armstrong, Faculty <strong>of</strong> Science<br />
<strong>Optimization</strong> <strong>of</strong> <strong>the</strong> <strong>Czochralski</strong> <strong>method</strong> <strong>for</strong> <strong>InSb</strong> <strong>crystal</strong> growth