Graphite is lamellar crystal in which single layers of carbon atoms or graphene are distributed at the points of regular hexagons (with sides d) to form a honeycomb pattern, as shown in Fig. Q2. a2 Characterize this structure by its Bravais lattice and basis. Show that its primitive vectors expressed in terms of i and j are given by (a) 3 dj and a, = 3dj 2 (b) Determine the primitive vectors for the corresponding reciprocal lattice. Sketch its reciprocal lattice and the first Brillouin zone (Wigner-Seitz). Fig. Q2 Obtain the expression of its structure factor in terms of Miller indices. How does the irradiance of the Bragg reflection depend on the various combination of Miller indices? (c)
Graphite is lamellar crystal in which single layers of carbon atoms or graphene are distributed at the points of regular hexagons (with sides d) to form a honeycomb pattern, as shown in Fig. Q2. a2 Characterize this structure by its Bravais lattice and basis. Show that its primitive vectors expressed in terms of i and j are given by (a) 3 dj and a, = 3dj 2 (b) Determine the primitive vectors for the corresponding reciprocal lattice. Sketch its reciprocal lattice and the first Brillouin zone (Wigner-Seitz). Fig. Q2 Obtain the expression of its structure factor in terms of Miller indices. How does the irradiance of the Bragg reflection depend on the various combination of Miller indices? (c)
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SOLID STATE PHYSICS
Transcribed Image Text:Graphite is lamellar crystal in which single layers of
carbon atoms or graphene are distributed at the points
of regular hexagons (with sides d) to form a
honeycomb pattern, as shown in Fig. Q2.
(a)
a2
Characterize this structure by its Bravais lattice
and basis. Show that its primitive vectors
expressed in terms of i and j are given by
3
a =
di – đj and
az = V3dj .
2
(b)
Determine the primitive vectors for the
corresponding reciprocal lattice. Sketch its
reciprocal lattice and the first Brillouin zone
(Wigner-Seitz).
Fig. Q2
Obtain the expression of its structure factor in terms of Miller indices. How
does the irradiance of the Bragg reflection depend on the various combination
of Miller indices?
(c)
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