LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
M.Sc. DEGREE EXAMINATION – PHYSICS
FOURTH SEMESTER – NOVEMBER 2003
PH 4801 / PH 1017 – SOLID STATE PHYSICS II
30.10.2003 Max. : 100 Marks
1.00 – 4.00
PART – A
Answer all the questions. (10 x 2 = 20)
- Explain the physical basis of the effective mass.
- Discuss the Mott – metal insulation transition with a suitable example.
- List the microwave and infrared properties of superconductors.
- Outline briefly, the various methods of measuring the B.E of excitons.
- Explain the nature of piezoelectricity and hence obtain the piezoelectric equations for polarization and elastic strain.
- What is meant by “zero field splitting”?
- Discuss the role of isotope effect on superconductivity.
- With necessary diagrams, explain the mechanism responsible for the mobility of a dislocation.
- Distinguish between the Burger vector of a screw dislocation and that of an edge dislocation.
- Explain the formation of a hole trapped color centre with suitable example.
PART – B
Answer any FOUR questions only (4 x 7.5 = 30)
- Explain the thermoelectric effects in semiconductors and hence obtain the Kelvin’s relation for irreversible thermodynamics.
- Derive the dispersion relation for electromagnetic waves and discuss in detail the conditions to be satisfied for the propagation or attenuation of em waves.
- State the essential conditions required in the formation of Freckle exciton and obtain the energy eigen values.
- Explain the thermodynamics of the super conducting transition and obtain the expression for stabilization energy density of the super conducting state at absolute zero.
- Discuss in detail, the Landau’s theory of phase transition and explain the second order phase transition.
-2-
PART – C
Answer any FOUR questions only. (4 x 12.5 = 50)
- Derive the expression for the intrinsic carrier concentration and hence form the law of mass action. Prove that the Fermi level lies in the middle of the forbidden gap.
- a) Discuss in detail, the electrostatic screening behavior of electron gas and obtain the
relation connecting the es potential and charge concentration. (7)
- Using the Thomas-Fermi approximation, derive the expression for the dielectric function of an electron gas. (5.5)
- a) Distinguish between A.C. Josephson and D.C. Josephson effects. (3.5)
- b) Prove that the current of superconductor pairs across the junction depends on the phase difference in the case of D.C Josephon effect. (9)
- Derive the Block equations of motion and obtain the equations for (i) the power absorption and (ii) half width of the resonance at half maximum power.
- a) What are lattice vacancies? Explain the mechanisms of forming the Schottky and Freckle defects with relevant diagrams. (5.5)
- b) Derive the expression for the number of defects formed in the Schottky type with special references to ionic crystals. (7)