Sketch the probability density functions of electrons

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1. Sketch the probability density functions of electrons at energies E+ and E- and k=π/a and sketch also the periodic potential V(x) using the same origin of the coordinate system.

2. Using the nearly-free electron energy band model obtained in section 181, compute the allowed energy bandwidth for a=2.35A (Si interatomic spacing) and show that 2k2k12/m in (181.19) is much larger than the energy gap of Si, EG(Si)=1.2eV, by calculating its value.

Reference no: EM131320727

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