A hypothetical monovalent metal consists of a simple cubic lattice of atoms of spac- ing a. (i) Show that the radius of the Fermi sphere is given by kr = 3.09 a- when using free electron theory. (ii) Calculate the distance of closest approach of the Fermi sphere to the Brillouin zone boundary.

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d) A hypothetical monovalent metal consists of a simple cubic lattice of atoms of spac-
ing a.
(i) Show that the radius of the Fermi sphere is given by kp = 3.09 a when using
free electron theory.
(ii) Calculate the distance of closest approach of the Fermi sphere to the Brillouin
zone boundary.
Transcribed Image Text:d) A hypothetical monovalent metal consists of a simple cubic lattice of atoms of spac- ing a. (i) Show that the radius of the Fermi sphere is given by kp = 3.09 a when using free electron theory. (ii) Calculate the distance of closest approach of the Fermi sphere to the Brillouin zone boundary.
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