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The conduction and valence bands in a semiconductor can be described as Ec(k) = E1 E2 cos ka and Ev(k) = E3 + E4

The conduction and valence bands in a semiconductor can be described as Ec(k) = E1 − E2 cos ka and Ev(k) = E3 + E4 cos 2ka, respectively, where E1=6 eV, E2=1 eV, E3=3.4 eV, E4=0.5 eV.

(a) Sketch the E(k) diagram for this semiconductor. Is it a direct or indirect bandgap material? What is the bandgap energy?

(b) Find the hole to electron effective mass ratio.

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