Condensed Matter Physics - II

Paper Code: 
PHY 424(A)
Credits: 
4
Contact Hours: 
60.00
Max. Marks: 
100.00
Objective: 

This course will enable the students to –

1.     To equips the students with the theoretical and experimental knowledge about solids, solid solutions, liquids, alloys, disordered materials, introduction & synthesis of nanomaterials.

2.     To prepares the students to take up research in Condensed Matter Physics.

Course outcomes (COs):

 

Course

Learning outcomes

(at course level)

Learning and teaching strategies

Assessment

Strategies

PAPER CODE

Paper Title

PHY 424(A)

 

 

 

Condensed Matter Physics - II

 (Theory)

 

 

 

After the completion of this course the student will be able to:

CO119: understand the quantum mechanical behavior of metals, metallic interactions, pseudo potential formulation, exchange and correlation interactions

CO120: get the basic knowledge of liquid metals- structure factor and radial distribution functions, its resistivity.

CO121: define solid solution, its properties, phase transformations, binary metal alloy

CO122: understanding of Disordered condensed matter with its specifications and the idea to amorphous semiconductors & hopping conduction.

CO123:  get the basic knowledge of nano materials, quantum dots, quantum wires, fullerenes and graphenes.

CO124: get the idea of some useful experimental techniques of synthesis/deposition of nano-material.

Approach in teaching:

Interactive Lectures, Discussion, Tutorials, Demonstration, problem solving in tutorials

 

Learning activities for the students:

Self learning assignments, Effective questions, Seminar presentation, solving numerical.

Additional learning through online videos and MOOC courses

Class test, Semester end examinations, Quiz, Solving problems, Assignments, Presentations

 

10.00
Unit I: 
Synthesis techniques for Nanomaterials

Synthesis 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.
 

10.00
Unit II: 
Characterization techniques:

Characterization techniques: Basic ideas of the techniques of field emission, scanning tunneling and atomic force microscopy, scanning electron microscopy, transmission electron microscopy, X-ray diffraction line broadening, small angle X-ray scattering and small angle neutron scattering; Ultraviolet–visible spectroscopy.
 

14.00
Unit III: 
Theory of Metals

Theory of Metals: Metallic interactions; Kinetic energy; electrostatic; exchange and correlation; Pseudopotential formulation; local and non-local Pseudopotential; 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.

 

14.00
Unit IV: 
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 V: 
Disordered Systems:

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
 

References: 
  • W.A. Harison : Pseudo potentials in the theory of metals; W.A. Benjamin Inc. 1966, New York, Amsterdam
  • N.H. March: Liquid Metals: Concepts and Theory; Cambridge University Press
  • T. E. Faber: An introduction to the Theory of liquid metals; Cambridge University Press
  • Hansel and Mc Donald: Theory of Simple liquids; Academic Press INC. (London)
  • March, Young and Saupenthe : Many Body Problems.
  • March and Tosi : Atomic Motions in Liquids; Dover Publications 
  • March, Tosi and Street: Amorphous solids and the Liquids State, Plenum, 1985.
  • Dugdale : Electrical Properties of Metals and Alloys;  Edward Arnold (June 1977)
  • P.I. Taylor: A. Quantum Approach to the Solid State, Prentice Hall
  •  L. Azaroff: Introduction to Solids; McGraw-Hill Companies; New edition edition (1984)
  • Srinivasan: Science of Engineering Materials; John Wiley & Sons
  • Hand Book of nano-structured Materials & Nanotechnology- Ed. Hari Singh Nalwa (Vol.1 to 4);
  •  C. Kittal, Quantum theory of Solids
  • Pride- An introduction to Condensed Matter Physics
  • K.K. Chattopadhyay and A.N. Banerjee; Introduction to Nanoscience and Nanotechnology; PHI
  •  Sulabha K. Kulkarni; Nanotechnology Principles and Practice; Springer
  • David K. Ferry, Stephen M. Goodnick and Jonathan Bird; Transport in Nanostructures;Cambridge University Press (2009)
  • J.H. Fendler; Nanoparticles and Nanostructured Films: Preparation, Characterization and Application; Wiley-VCH(1998)

 

Academic Year: 
2021-2022
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