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