A silicon crystal is doped with phosphorus and no acceptors

PHYSICS · Subjective · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Semiconductor physics and devices · Semiconductor physics and devices

Condensed Matter Physics, Ch Homogeneous semiconductors: counting carriers, doping and mobility

Problem

A silicon crystal is doped with Nd=1.0×1017 cm−3N_d=1.0\times10^{17}\,\mathrm{cm^{-3}} phosphorus and no acceptors. Using Nc=2.8×1019 cm−3N_c=2.8\times10^{19}\,\mathrm{cm^{-3}} and the measured ni=1.0×1010 cm−3n_i=1.0\times10^{10}\,\mathrm{cm^{-3}}, find the hole density pp and how far μ\mu sits below EcE_c.

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