Sr. No.

2.Crystal structures and lattices with basis,

3. Lattice planes and Miller indices

4.Simple crystal structures- Sodium chloride, Cesium chloride

5.Diamond, and Zinc-blende structures

6.Determination of crystal structure by diffraction: 7.Reciprocal lattice and

8.Brillouin zones (examples of sc, bcc and fcc lattices), 9.Bragg and Laue formulations of X-ray diffraction by a crystal and their equivalence

10.Laue equations, Ewald construction, Brillouin interpretation

11.Crystal and atomic structure factors, Structure factor of the bcc andfcc lattices

12. Experimental methods of structure analysis: Types of probe beam, the Laue, rotating crystal and powder methods.

Must Know

2.Vibrations of crystals with monatomic basis-Dispersion relation,

3. First Brillouin zone, Group velocity,

4.Two atoms per primitive basis- acoustical andoptical modes;

5.Quantization of lattice vibration: Phonons, Phonon momentum,

6.Inelastic scattering of neutrons by phonons;

7.Thermal properties: Lattice (phonon) heat capacity, Normal modes,

8.Density of states in one and three dimensions,

9.Models of Debye and Einstein;

10.Effects due to anharmonic crystal interactions,

11. Thermal expansion.

Must   Know

Must Know

2.Density of states, Fermi energy,

3.Effect of temperature, Heat capacity of the electron gas, 4.Experimental heat capacity of metals, Thermal effective mass,

5. Electrical conductivity and Ohm’s law, Hall effect; 6.Failure of the free electron gas model and Band theory of solids:

7.Periodic potential and Block’s theorem,

8.Kronig-Penney model, Wave equation of electron in a periodic potential,

9.Solution of the central equation, Approximate solution near a zone boundary,

10.Periodic, extended and reduced zone schemes of energy band representation,

11.Number of orbitals in an energy band,

12.Classification into metals, semiconductors and insulators;

13. Tight binding method and its application to sc and bcc structures.

Must Know

2.Destruction of superconductivity by magnetic field, Meissner effect,

3.Type I and type II superconductors,

4.Entropy, Free energy, Heat capacity, Energy gap

5.Microwave and infrared properties, Isotope effect; 6.Theoretical survey: Thermodynamics of the superconducting transition,

7.London equation, Coherence length,

8. Salient features of the BCS theory of superconductivity, 9.BCS ground state; Flux quantization in a superconducting ring;

10. Dc and Ac Josephson effects;

11.Macroscopic long-range quantum interference

12.High Tc superconductors (introduction only).

Must  Know