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Syllabus | Paper Solid State Physics | Code 09020201

Syllabus

Paper : Solid State Physics

Code: 09020201

 

Sr. No.

Topic Domain Hours as per UGC
1. 1.Recapitulation of basic concepts: Bravais lattice, Primitive vectors, Primitive, conventional and Wigner-Seitz unit cells

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

 

 

 

 

 

 

 

 

 

 

 

 

 

Must Know

10 hrs
2. 1.Classical theory of lattice vibration (harmonic approximation)

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

11 hrs
3. 1.Free electron gas model in three dimensions:

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

11 hrs
4. 1.Experimental survey: Superconductivity and its occurrence

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

 

 

 

 

 

 

 

 

 

Must  Know

12 hrs

References Books

  1. Introduction to Solid State Physics (7th edition ) by Charles Kittel
  2. Solid State Physics by Neil W. Ashcroft and N. David Mermin
  3. Applied Solid State Physics by Rajnikant
  4. Solid State Physics: An Introduction to Theory and Experiment by H. Ibach and H. Luth
  5. 5. Principles of the Theory of Solids (2nd edition) by J. M. Ziman