(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A doped silicon ingot is to be grown by the Czochralski technique with a dopant concentration of 10^{16}boron atoms/cm^{3}. If k_{0}= 0.9 for boron/Si, what concentration of boron atoms should be in the melt?

2. Relevant equations

C_{s}/C_{0}= k_{0}(1 - m/m_{0})^{k0-1}

k0 = C_{s}/ C_{l}

3. The attempt at a solution

I think it's just a case of subbing in the numbers to establish C_{s}and then using this in the second equation to find C_{l}, but I'm really confused about what the values of M and M_{0}should be in this scenario.

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# Crystal Growth - Czochralski technique, finding concen. of dopant after growth

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