Germanium has relative permittivity and a conduction electron effective mass of

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 has relative permittivity

\epsilon_r=16.0

and a conduction electron effective mass of

0.12m

. Using the same hydrogen-scaling model as for phosphorus in silicon, estimate a donor's binding energy and orbit radius in germanium. Measured donor energies in germanium are about

10\,\mathrm{meV}

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