513.001 Molecular and Solid State Physics

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Physical
Constants

Periodic System
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Effective mass

In a semiconductor where the bottom of the conduction band is at k = 0, an electron moves with a wavenumber k = 1010 m-1.

(a) If the effective mass of electrons in the conduction band is 0.7 m, what is the energy of this electron measured from the bottom of the conduction band?

(b) In a simple 1-d tight binding model, the width of a band is four times the transfer integral t.

E = -2tcos(ka)

Discuss the effective mass of electrons in this band.