Question

 

Calculate the mass of phosphorus required to make a silicon crystal with 1017 cm-3 doping density, if the initial melt load of silicon is 50 kg. The density of silicon in the melt is 2.5 g cm-3 and phosphorus has an atomic weight of 30.97u. Assume that the segregation coefficient k=0.35 is constant throughout the growth process.

06 Sep 2025
Answer :
Word Count : 241
To calculate the mass of phosphorus required for doping silicon, we start with the relation between doping concentration in the solid and the melt using the segregation coefficient $k$. The segregation coefficient $k$ is defined as: $$ k = \frac{C_s}{C_0} $$ where $C_s$ is the concentration of dopant in the solid silicon, and $C_0$ is the concentration of dopant in _______ _______ ________ ____ ___ _______ ___ ________.
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