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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

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