Estimate the width of the gap near the corner of the first, Physics

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Estimate the width of the gap near the corner of the first

1. How well does the nearly free electron model predict the band structure of the Kronig-Penney model plotted in Figure 5.18?

2. Estimate the width of the gap near the corner of the first Brillouin zone for a square two-dimensional crystal. How does this compare with the gap at the middle of a face?

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