N A L A N D A O P E N U N I V E R S I T Y
M.Sc. Physics, Part-I
PAPER-VII
(Condensed Matter Physics)
Annual Examination, 2016
Time 3 Hours. Full Marks 80
Answer any Five Questions.
All questions carry equal marks.
1. What are Brillouin Zones How are these zones constructed Give the sketches of the first
Billouin zones of bcc and fcc lattices.
2. What are Miller indices How the orientation of plane is specified by Miller indices Explain
their importance. Write down the Miller indices for plans with intercepts



c
b
a
2
.
3. Discuss the quantisation of electron orbits in a magnetic field.
4. Discuss Kronig-Penny model for a linear lattice. How does it lead to the formation of energy
bands in solids.
5. State and prove Bloch theorem.
Explain the significance of the effective mass of the electron.
6. Explain the schottky and the Frankel defects. Calculate the equilibrium concentration of each
defect and indicate the order of their magnitude.
7. What is atomic scattering factor Derive the general expression for this quantity using
spherical polar co-ordinates. How is it related to the geometrical structure factor
8. What are symmetry operations Describe the principal symmetry operation applicable to a
three dimensional lattice.
9. What is quantum hall effect Give an account of its relevant theory.
10. What is a Fermi surface What are its main characteristics Discuss the effect of electric field
and magnetic field on Fermi Surface.