Answered: 1. Square lattice, free electron… | bartleby

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1. Square lattice, free electron energies. (a) Show for a simple square lattice (two
dimensions) that the kinetic energy of a free electron at a corner of the first zone is
higher than that of an electron at midpoint of a side face of the zone by a factor of 2.
(b) What is the corresponding factor for a simple cubic lattice (three dimensions)?
(c) What bearing might the result of (b) have on the conductivity of divalent metals?

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