3. Volume of Brillouin zone. Show that the volume of the first Brillouin zone is (27)³/V where V is the volume of a crystal primitive cell. Hint: The volume of a Brillouin zone is equal to the volume of the primitive parallelepiped in Fourier space. Recall the vector identity (cxä)×(axb) = č. (axb)ā.
3. Volume of Brillouin zone. Show that the volume of the first Brillouin zone is (27)³/V where V is the volume of a crystal primitive cell. Hint: The volume of a Brillouin zone is equal to the volume of the primitive parallelepiped in Fourier space. Recall the vector identity (cxä)×(axb) = č. (axb)ā.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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let the volume of the parallelopiped primitive cell :
The reciprocal lattice primitive translation vectors are :
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