513.001 Molecular and Solid State Physics

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Conduction band electron energy

In silicon, the bottom of the conduction valley along the [100] direction is at (2π/a)(0.85,0,0) where a = 0.543 nm. Electrons in this valley have an anisotropic effective mass. The effective mass in the [100] direction is ml* = 0.98me and the effective mass transverse to the [100] direction is mt* = 0.19me. What is the energy of an electron with a k-vector (2π/a)(0.71,-0.13,0.11)?

E = eV