Question

2. a) Find the primitive vectors (G1, G2) of the reciprocal lattice of the honeycomb lattice. (the primitive vectors of the honeycomb lattice: $\vec{a_1} = \frac{a}{2} (\sqrt{3}, 1)$, $\vec{a_2} = \frac{a}{2} (\sqrt{3}, -1)$ b) Draw schematically the reciprocal lattice of the honeycomb lattice. c) Draw the (1st) Brillouin zone and calculate its area.

          2. a) Find the primitive vectors (G1, G2) of the reciprocal lattice of the honeycomb lattice.
(the primitive vectors of the honeycomb lattice: $\vec{a_1} = \frac{a}{2} (\sqrt{3}, 1)$, $\vec{a_2} = \frac{a}{2} (\sqrt{3}, -1)$
b) Draw schematically the reciprocal lattice of the honeycomb lattice.
c) Draw the (1st) Brillouin zone and calculate its area.

2. a) Find the primitive vectors (G1, G2) of the reciprocal lattice of the honeycomb lattice.
(the primitive vectors of the honeycomb lattice: a⃗1⃗ = (a)/(2) (√(3), 1), a⃗2⃗ = (a)/(2) (√(3), -1)
b) Draw schematically the reciprocal lattice of the honeycomb lattice.
c) Draw the (1st) Brillouin zone and calculate its area.

Added by Ronald L.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Vipender Yadav

Step 1

The honeycomb lattice consists of two sublattices, labeled A and B, arranged in a hexagonal pattern. We can choose the primitive vectors of the honeycomb lattice as: a1 = a(√3, 0) a2 = a(√3/2, 3/2) where a is the lattice constant. Show more…

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a) Find the primitive vectors (G1, G2) of the reciprocal lattice of the honeycomb lattice. b) Draw schematically the reciprocal lattice of the honeycomb lattice. c) Draw the (1st) Brillouin zone and calculate its area.