Calculate the mass of boron required to make a silicon crystal with
doping density, if the initial melt load of silicon is 50 kg. The density of silicon in the melt is 2.5 g
and boron has an atomic weight of 10.8 u. Assume that the equilibrium segregation coefficient k0is constant throughout the growth process.
To solve this problem numerically, let's break it down step by step: ### Given Data: - Doping density of boron = \( 10^{16} \) cm\(^{-3}\) - Initial silicon melt load = 50 kg - Density of silicon in the melt = 2.5 g/cm³ - Atomic weight of boron = 10.8 u ### Step 1: Calculate the Total Volume of Silicon Melt Since density = mass/volume, \[ V_{\text{Si}} = \frac{\text{Mass of Si}}{\text{Density of Si}} \] _____ _______ __________ ______ _____ ____ _____ ___ ___ _________.
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and
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