The primitive translation vectors of the bcc lattice are given: = = (²/²) (-₁ + j + k) a₁ d3 = (-) (² + 1 - k) = ä₂ = (²-) (1 - 1 + k) _â3 a) Find the volume of the primitive cell. b) Find the primitive translations of the reciprocal lattice c) Sketch the first Brillouin zone of the bcc lattice.
The primitive translation vectors of the bcc lattice are given: = = (²/²) (-₁ + j + k) a₁ d3 = (-) (² + 1 - k) = ä₂ = (²-) (1 - 1 + k) _â3 a) Find the volume of the primitive cell. b) Find the primitive translations of the reciprocal lattice c) Sketch the first Brillouin zone of the bcc lattice.
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Transcribed Image Text:The primitive translation vectors of the bcc lattice are given:
ä₂ = (²) (1 - 1 + k) az = (-) (² + 1 = k)
a₁
(²7) (-²+j+ k)
a) Find the volume of the primitive cell.
b) Find the primitive translations of the reciprocal lattice
c) Sketch the first Brillouin zone of the bcc lattice.
Expert Solution
Introduction:
The volume of primitive cell is given by
Where are translational vectors.
A bcc lattice is a lattice with atoms at each corners and an atom in the center of cube. We then find the reciprocal lattice vectors to the given bcc lattice. We will find that the reciprocal of bcc is fcc lattice.
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