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Physics20755 marksBloch theorem

Explain Bloch theorem. Discuss its use in Kronig-Penney model and hence in band theory.

Explain Bloch theorem. Discuss its use in Kronig-Penney model and hence in band theory. [5]

--- In a crystalline solid, atoms are arranged in a periodic lattice. If the spacing between ions in the x-direction is 'd', then the potential energy of an electron at position x is equal to the potential energy at position x + d: $$V(x) = V(x + d)$$ This is called a periodic potential. Statemen...

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