CONDENSED MATTER PHYSICS - II

Paper Code: 
PHY 424(A)
Credits: 
04
Contact Hours: 
60.00
Max. Marks: 
100.00
12.00
Unit I: 
Theory of Metals

Metallic interactions; Kinetic energy; electrostatic; exchange and correlation; Pseudopotential formulation; local and non-local Pseudopotentials; The diffraction model; Factorization of matrix elements; structure factor; Form Factor; Total Energy of the metals; Free electron energy, Band Structure energy; Self consistent screening of a local pseudopotential; Dielectric screening function, Energy wave number Characteristic.

12.00
Unit II: 

a)Liquid Metal and Alloys :Liquid structure factor s(q); radial distribution function g(r); Relationship between s(q) and g(r); Ziman’s resistivity formula, the role of effective mass on resistivity, Binary liquid metal alloys; Atom-atom partial structure factors; Thermodynamical relations.

 

(b)Phase Transformation in Alloys:Equilibrium transformation of first and second order, Phase rule, Equilibrium phase diagrams, Interpretation of Phase Diagrams; Substitutional solid solutions, Vegard's law, Interstial Solid Solutions, Hume-Rothery rules, Phase diagrams for binary alloys; Martensitic transitions.

12.00
Unit III: 
Disordered Systems

Disorder in condensed matter- substitutional, positional and topographical disorder; Short and long-range order; Atomic correlation function and structural descriptions of glasses and liquids; Anderson model; mobility edge; Minimum Metallic Conductivity, Qualitative application of the idea to amorphous semiconductors and hopping conduction.

12.00
Unit IV: 
Nanomaterials

Free electron theory (qualitative idea), variation of density of states with energy, variation of density of state and band gap with size of crystal. Electron confinement in infinitely deep square well, confinement of two and one dimensional well, idea of quantum well structure, tunneling through potential barrier, quantum dots, quantum wires, introduction to fullerenes and graphenes.

12.00
Unit V: 
Experimental techniques for Nanomaterials

Different methods of preparation of nanomaterial, Sol-gel and chemical bath deposition method, effect of temperature on the size of the particles. Bottom up: cluster beam evaporation, ion beam deposition, top down: ball milling. DC and RF sputtering.

References: 

 

  1. N.H. March: Liquid Metals: Concepts and Theory; Cambridge University Press

  2. T. E. Faber: An introduction to the Theory of liquid metals; Cambridge University Press

  3. Egelstaff: An introduction to the liquid state; Academic Press INC. (London)

  4. Hansel and Mc Donald: Theory of Simple liquids; Academic Press INC. (London)

  5. March, Young and Saupenthe : Many Body Problems.

  6. March and Tosi : Atomic Motions in Liquids; Dover Publications 

  7. March, Tosi and Street: Amorphous solids and the Liquids State, Plenum, 1985.

  8. Dugdale : Electrical Properties of Metals and Alloys;  Edward Arnold (June 1977)

  9. M. Shimoji : Liquid Metals; Academic Press Inc (December 1977)

  10. P.I. Taylor: A. Quantum Approach to the Solid State, Prentice Hall

  11.  L. Azaroff: Introduction to Solids; McGraw-Hill Companies; New edition edition (1984)

  12. Srinivasan: Science of Engineering Materials; John Wiley & Sons

  13. Hand Book of nano-structured Materials & Nanotechnology- Ed. Hari Singh Nalwa (Vol.1 to 4);

  14.  C. Kittal, Quantum theory of Solids

  15. Pride- An introduction to Condensed Matter Physics

  16. K.K. Chattopadhyay and A.N. Banerjee; Introduction to Nanoscience and Nanotechnology; PHI

  17.  Sulabha K. Kulkarni; Nanotechnology Principles and Practice; Springer

  18. David K. Ferry, Stephen M. Goodnick and Jonathan Bird; Transport in Nanostructures;Cambridge University Press (2009)

  19. J.H. Fendler; Nanoparticles and Nanostructured Films: Preparation, Characterization and Application; Wiley-VCH(1998)

  20. W.A. Harison : Pseudo potentials in the theory of metals; W.A. Benjamin Inc. 1966, New York, Amsterdam.

 

 

Academic Year: 
2018-2019
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