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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 />

In our case, with displacement vector u = 〈u(r), 0, 0〉 in<br />

cylindrical coordinates,<br />

e rr = ∂u<br />

∂r → u r ,<br />

e zz = ∂w<br />

∂z → 0,<br />

2e rz = ∂u<br />

∂z + ∂w<br />

∂r<br />

→ 0,<br />

e φφ = 1 ∂v<br />

r ∂φ + u r → u r ,<br />

2e φz = 1 ∂w<br />

r ∂φ + ∂v<br />

∂z → 0,<br />

2e rφ = ∂v<br />

∂r − v r + 1 ∂u<br />

r ∂φ → 0.<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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