The primitive translation vectors of the hexagonal space lattice maybe taken as 32a --( 2 ) + (7) a1 11 32a 2 √x + (²) 9. 19. a₂ = a) Find the volume of the primitive cell of hcp structure. x + 9. a3 = C2 9. c2

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter6: Quantum Mechanics In One Dimension
Section: Chapter Questions
Problem 17P
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The primitive translation vectors of the hexagonal space lattice maybe taken as
32a
32a
a₁ -
x + ( ) 9. az
2+
(⁹.
9. a3 = c2
a) Find the volume of the primitive cell of hep structure.
b) Find the primitive vectors (bi, b2, b3) of the reciprocal lattice of the hcp structure.
c) Describe and sketch the first Brillouin zone of the hexagonal lattice.
Transcribed Image Text:The primitive translation vectors of the hexagonal space lattice maybe taken as 32a 32a a₁ - x + ( ) 9. az 2+ (⁹. 9. a3 = c2 a) Find the volume of the primitive cell of hep structure. b) Find the primitive vectors (bi, b2, b3) of the reciprocal lattice of the hcp structure. c) Describe and sketch the first Brillouin zone of the hexagonal lattice.
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