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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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Strain equations<br />

Background<br />

Analysis <strong>of</strong> <strong>InSb</strong> <strong>crystal</strong><br />

Summary<br />

References<br />

The model<br />

Future work<br />

Strain is relative displacement<br />

Example: If a L = 1m long bar stretches ∆L = 1cm <strong>the</strong>n <strong>the</strong><br />

strain is ∆L/L = 0.01.<br />

Derived from displacement vector u : R 3 ↦→ R 3<br />

Dependent on <strong>the</strong> <strong>the</strong>rmal perturbations<br />

One possible representation<br />

⎛<br />

⎞<br />

e rr e rφ e rz<br />

e = ⎝e φr e φφ e φz<br />

⎠ , e T = e.<br />

e zr e zφ e zz<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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