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Curriculum | Paper : Solid State Physics | Code: 09020201 | M.Sc. (Physics)

Curriculum

Paper: Solid State Physics 

Code: 09020201

Sr. No Topic Learning Objectives (At the end the student should be able to) Teaching Guidelines Methodology Time
1. Crystal Lattices
1.Crystal and atomic structure factors, Structure factor of the bcc and fcc lattices
2. Experimental methods of structure analysis: Types of probe beam, the Laue, rotating crystal and powder methods.
 

Determination of
Crystal structure

1. Explain Bravais lattice, Primitive vectors, Primitive, conventional and Wigner-Seitz unit cells, Crystal structures and lattices with basis,  Lattice planes and Miller indices, Simple crystal structures- Sodium chloride, Cesium chloride, Diamond, and Zinc-blende structures.

2. Discuss the Determination of crystal structure by diffraction: Reciprocal lattice and Brillouin zones (examples of sc, bcc and fcc lattices), Bragg and Laue formulations of X-ray diffraction by a crystal and their equivalence
Laue equations, Ewald construction, Brillouin interpretation

 

1. White board Teaching

2. Conducting Seminars

 

8 hrs

 

2 hrs

2. Lattice Vibrations

1. Classical theory of lattice vibration
2.Density of states in one and three dimensions,
2.Models of Debye and Einstein;
3. Effects due to anharmonic crystal interactions
4. Thermal expansion.

 Description of  Lattice dynamics and thermal properties  1. To explain Classical theory of lattice vibration (harmonic approximation), Vibrations of crystals with monatomic basis-Dispersion relation, First Brillouin zone, Group velocity.

2.  By deriving the relation for Two atoms per primitive basis- acoustical andoptical modes, Quantization of lattice vibration: Phonons, Phonon momentum, Inelastic scattering of neutrons by phonons, Thermal properties: Lattice (phonon) heat capacity, Normal modes.

 

 

1. white board Teaching

2. Group Discussion

 

1. 8 hrs

 

2. 2 hrs

3. Free Electron Gas Model
1.Solution of the central equation, Approximate solution near a zone boundary,
2.Periodic, extended and reduced zone schemes of energy band representation, 3.Number of orbitals in an energy band,
4.Classification into metals, semiconductors and insulators;
5. Tight binding method and its application to sc and bcc structures.
Discuss Electronic properties of solids  To Explain
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,
 

1. white board Teaching

2. Group Discussion

 

8 hrs

 

2 hrs

4. Superconductivity
1. BCS theory of superconductivity, 2.BCS ground state; Flux quantization in a superconducting ring;
3. Dc and Ac Josephson effects;
4.Macroscopic long-range quantum interference
5.High Tc superconductors (introduction only).
Detailed study of superconductivity and its applications  To explain
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
 

1. white board Teaching

2. Group Discussion

 

8 hrs

 

2 hrs