513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
of Elements

      

Donors in GaAs

Gallium arsenide has a bandgap Eg = 1.42 eV and an electron effective mass of m* = 0.016 me. The dielectric constant for GaAs is 12.9. Assuming that when the donor electron is bound it is in a hydrogen-like ground state orbit, calculate the radius of this orbit and the ionization energy.

At which concentration of donors do the orbits start to overlap?