Germanium's effective densities of states at are and

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

Germanium's effective densities of states at

300\,\mathrm{K}

are

N_c=1.04\times10^{19}\,\mathrm{cm^{-3}}

and

N_v=6.0\times10^{18}\,\mathrm{cm^{-3}}

, and its gap is

E_g=0.67\,\mathrm{eV}

. Both

N_c

and

N_v

scale as

T^{3/2}

, as shown earlier in the chapter. Find germanium's intrinsic carrier density at

350\,\mathrm{K}

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