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Plot the dopant concentration profile of a 20" long silicon rod grown by the float-zone technique using P as a dopant in a core doping scheme for various lengths of the floating zone. Assume the dopant concentration in the core to be 1 019 cm·.> and the rad ius of the core to be 4 ti mes smaller than that of the final rod. Which one results in a more unifom1 dopin g profile: a long float-zone or a short one?

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