Exercise 2: Calculate the reciprocal lattice of a single sheet of graphite (graphene) and construct its first Brillouin zone. b₁ = b2 b3 = = 2п а2 х аз a1 (a2 x aз 2п аз ха1 a1 (a2 x aз) 2п а1 х а2 a₁ (a2 x a3) L Fig. 2.2 Structure of a graphite sheet. Left: The unit cell (gray) of this hexagonal lattice is spanned by the lattice vectors |a1| and |a2|, with a lattice constant of |a1|=|a2| = 0.246 nm. It contains a basis of two carbon atoms (full circles) occupying non-equivalent sites. The distance between two neighboring atoms is 0.142 nm. Right: The first Brillouin zone of the graphite sheet with points of high symmetry.

Exercise 2: Calculate the reciprocal lattice of a single sheet of graphite (graphene) and construct its first Brillouin zone. b₁ = b2 b3 = = 2п а2 х аз a1 (a2 x aз 2п аз ха1 a1 (a2 x aз) 2п а1 х а2 a₁ (a2 x a3) L Fig. 2.2 Structure of a graphite sheet. Left: The unit cell (gray) of this hexagonal lattice is spanned by the lattice vectors |a1| and |a2|, with a lattice constant of |a1|=|a2| = 0.246 nm. It contains a basis of two carbon atoms (full circles) occupying non-equivalent sites. The distance between two neighboring atoms is 0.142 nm. Right: The first Brillouin zone of the graphite sheet with points of high symmetry.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 44E

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