Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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)

icon
Related questions
Question

SOLID STATE PHYSICS

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)
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)
Expert Solution
steps

Step by step

Solved in 6 steps with 5 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer