The single layer state of graphite is called the graphene layer and is ahoneycomb lattice with hexagonal symmetry. If the distance betweenthe closest neighbors is a,(a) Identify the primitive lattice vectors of the structure and draw theprimitive unit cell clearly showing the base atoms.(b) Determine the first Brillouin region by calculating the purl vectors.(c) Assuming that the electron density is 7.1010 cm-2, calculate thetwo-dimensional free electron Fermi energy for the graphene sheet (ineV).

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Science

Chemistry

graphene layer

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter21: The Solid State: Crystals

Section: Chapter Questions

Problem 21.16E

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Concept explainers

Group 14 Elements

The following elements come under group 14 of the periodic table.

Question

The single layer state of graphite is called the graphene layer and is a
honeycomb lattice with hexagonal symmetry. If the distance between
the closest neighbors is a,
(a) Identify the primitive lattice vectors of the structure and draw the
primitive unit cell clearly showing the base atoms.
(b) Determine the first Brillouin region by calculating the purl vectors.
(c) Assuming that the electron density is 7.1010 cm-2, calculate the
two-dimensional free electron Fermi energy for the graphene sheet (in
eV).

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