M.Sc- Materials Science (Physics)
M.Sc- Materials Science (Chemistry)
(w.e.f. June 2009)
Semester - I
MS - I - Mathematical Techniques(C)
MS - II - Condensed Matter Physics (C)
MS - III - Physical Chemistry - 100
MS - IV - Analytical Techniques - I
- 100
- 100
- 100
-100
Semester - II
MS - V - Statistical Mechanics (C)
MS - VI - Quantum Mechanics (C)
MS - VII - Materials Chemistry
MS - VIII - Analytical Techniques - II
Practical - III - 100
Practical - IV - 100
Semester - III
MS - IX - Elements of Materials Science
MS - X - Instrumentation (C)
MS - XI - Elective - I
MS - XII - Elective – II
List of Elective Courses
E-11 Organic Solids & Polymers
E-12 Ceramic Materials
- 100
- 100
- 100
- 100
- 100
- 100
- 100
- 100
E-13 Semiconductor Physics (C)
E-14 Electronic & Magnetic Materials
Practical - V
Practical - VI
Semester - IV
-100
-100
MS - XIII - Computational Methods & Programming(C) - 100
MS - XIV - Nano science & Technology. - 100
MS - XI - Elective - I
MS - XII - Elective - II
List of Elective Courses
- 100
- 100
E-21 - Liquid crystals & Amorphous Materials.
E-22 - Engineering & Smart Materials.
E-23 - Thin - film Technology
E-24 - Microelectronics
Practical – VII
Project
- 100
- 100
The Practicals Examination at Sem. IV shall be of 2 laboratory practicals & 1 Project
Presentation. The project work could be initialed in Sem. III, so as to Complete it properly and well in advance. (C) Indicates common courses of the school

M.Sc-I, Semester -I, Materials Science
PHAE-I/ MS-I/ES-I .Mathematical Techniques
Unit 1: Calculus of Residues (6)
COMPLEX VARIABLE AND REPRESENTATIONS: Algebraic Operations, Argand
Diagram: Vector Representation, Complex Conjugate, Euler’s Formula, De Moiver’s
Theorem, The nth Root or Power of a complex number.
ANALYTICAL FUNCTIONS OF A COMPLEX VARIABLE : The Derivative fo ,f (Z) and Analyticity, Harmonic Functions, Contour Integrals, Cauchy’s Integral Theorem,
Cauchy’s Integral Formula, Differentiation inside the Sign of Integration.
Unit 2: Operator and Matrix Analysis (8)
Vector Space and its dimensionality, Vector Spaces and Matrices, Linear independence;
Bases; Dimensionality, linear dependence, Inner product Hilbert space, linear operators.
Matrix operations, properties of matrices, Inverse, Orthogonal and unitary matrices;
Independent elements of a matrix Diaglonization; Complete otrhonormal sets of functions, special square matrices, Eigenvalues and eigenvectors; Eigenvalue problem.
Unit 3: Differential Equations (8)
ORDINARY DIFFERENTIAL EQUATIONS: First-Order Homogeneous and
Nonhomogeneous equations with variable coefficients. The superposition principle,
Second-order homogeneous equations with constant coefficient. Second-order nonhomegeneous equations with constant coefficients, Second-Order Nonhomogeneous with Variable Coefficients, Second-Order Homogeneous equations with Variable
Coefficient.
Unit 4: Fourier series and Integral Transforms (8)
Fourier’s theorem; consine, sine and complex Fourier series, Applications to saw footh and square waves and full wave rectifier. FS of arbitary period; Half wave expansions;
Partial sums Fourier integral and transforms; consine since complex forms, Parsevals relation, Applcationf to Gaussian distribution, box and exponential functions; FT of delta function Laprace transforms of common functions, First and second shifting theorems; inverse LT by partial fractions; LT of derivative and integral of a function.

Unit 5: Special Functions (15)
Spherical harmones, Recurrence Relations, Application to Hydrogeon Atom Problem.
Legendrees equation and Polynomials, Generating function, Application uncharged conducting sphere in uniform electric field. Bessels equation and its solutions, characteristics of various Bessel functions, Application - vibrating stretched membrane.
Hermites equation and polynomials, Generating functions, Application - linear harmonic oscillator in quantum mechanics.
Reference Books:
1. Introduction to Mathematical Physics by C. Harpcr, Prcnticc - Hall of
India Ltd. N.Delhi 1993,( Chapters 2,4,6,9)
2. Mathematical Physics by A.G. Ghatak, I.C.Goyal and S.J.Chua,
McMillan India Ltd. New Delhi 1995 ( Chapters 4,7,9,10)
3. Quantum Mechanics by Thankappan, Wiley Fastern Ltd. N.Delhi 1993,
Second Edition
4. Matrices and Tensors for Physicists, by A W Joshi
5. Advanced Engineering Mathematics, by E Keryszig
6. Special Functions, by E D Rainville
7. Spccial Functions by W W Bell
8. Mathematical Method for Physicits and Engineers , by K F Reily, M P
Hobson and S J Bence
9. Mathematics for Physicists by Mary L B
10. Mathematical Methods for Physics, by G Arfken
Tutorial:

M.Sc-I, Semester -I, Physics (Applied Electronics) / Materials Science
PHAE-II / MS-II -CONDENSED MATTER PHYSICS
1. Crystal Structure : Basic Structures; symmetry properties, packing fractions, directions and position-orientation of planes in crystal, concept of reciprocal lattice, concept of brillouin zones, closed packed structure, and structures of some binary/ternary compounds. Elementary concepts of polycrystalline, nanocrystalline and amorphous materials. Elementary concepts of defects in solids. X-ray scattering from solids including Laue conditions and line intensities.
(07)
2. Energy bands: Electron in periodic potential, Bloch function, solution of wave equation of electron in periodic potential, reduced, periodic and extended zone schemes. Construction of Fermi surfaces in brillouin zones for two - dimensional lattices, Introduction to methods for calculations of energy bands and their features. (8)
3. Semiconductors: Direct and indirect band gap semiconductors effective mass, intrinsic carrier concentration, impurity conductivity thermal ionization Revision on p-n junction and rectification, metal- semiconductor contacts, schotky barrier. (8)
4. Dielectric properties of Solids: electronic, ionic, orientational, polarzabilities, static dielectric constant for gases, internal field in solids, dielectric constant of solids, dielectric relaxation in alternating fields, dielectric losses, complex dielectric constant
(7)
5. Ferroelectric and Ferromagnetic properties of Solids
Classification and general properties ferroelectric materials, dipole theory, spontaneous polarization, thermodynamical aspects of ferroelectric transitions, Ferro electric domains, ferromagnetism, ferromagnetic domains. (7)
6. Superconductivity: Basic concepts, Meissner effect, heat capacity, energy gap,
London equation, coherence length Josephson effect (flux quantization), type I and
II superconductors, BCS theory, introduction to high Tc superconductors. ( 8)
Reference Books:
1) Introduction to Solid State Physics 4 th Ed. C.Kittel,
2) Solid State Physics by A.J.Dekker
3) Solid State Physics by N.W.Ashoroff & N.D.Mermin
4) Solid State Physics S.O.Pillai
5) Solid state Physics by R.L.Singhal

M.Sc-I, Semester -I, Materials Science
MS III - Physical Chemistry
1. Electrochemistry:
Electrolytic conductance - Debye- Huckel theory of Interionic attraction, Debye-Huckel limiting law, energetic of electrochemical reactions, electrode potential and EMF application of EMF measurements, potentiometric titrations . (5)
Electrochemical devices: Galvanic cells (primary and secondary), concentration cells and fuel cells, polarization, over voltage, decomposition potential and electrodeposition techniques.
Corrosion: introduction and importance of corrosion studies, theories of corrosion, factors influencing corrosion, forms of corrosion, corrosion control measures, through paints, metal coatings, anodic and cathodic protection polarization studies, corrosion rate measurement, Tafel extraploration passivity, analysis of corrosion failure. ( 10)
2. Chemical Thermodynamics:
Brief resume of concepts of laws of thermodynamics. Free energy, chemical potential and entropy. Gibb’s-Helmholtz equation and Maxwell’s relation.
Real Gases: Definition of fugacity, standard state of real gases. The relation between fugacity and pressure. Concept of activity and activity coefficient and their determination by vapour pressure methods.
Non-ideal behaviour: partial molar quantities, partial moral volume ant its determination by dilatometry. Partial molar entropy and its determination by calorimetry.
(10)
3. Chemical Dynamics- I:
A brief review of basic concepts and terminology in reaction kinetics. Methods of determining rate laws. Arrehenius equation. Collision state theory for bimolecular reaction rates. Transition state theory. Comparison between collision and transition state theories. Lindeman and RRKM theories of unimolecular reaction rates. Concepts and significance of energy of activation.
Dynamics in solution: Ionic reactions, effect of ionic strength. Primary and secondary salt effects. Numerical examples.
Dynamics of chain reaction: general aspects of chain reactions, parallel and complex reactions, consecutive and opposite reactions. (15)
4. Colloids, surfactants and interfacial phenomenon:
Introduction to Colloids and Surfactants. Determination of Critical Micillar concentration from surface tension measurements. ( 05)
Reference Books:
1. Chemical Kinetics and Dynamics, J.I. Stiefield, J.S. Franciso and W.L. Hase,
Prantice Hall, Eaglewood Cliffs, New Jersy, 1989.
2. The surface chemistry of solids, S.J.Gregg Chappman and Hall Ltd, 1961.
3. Introduction to kinetics of chemical chain reactions, Gimblett, TMH.
4. Chemical Kinetics, Laidler.
5. Problems in Physical Chemisty, K. K. Sharma, Vikas Pub. House, New Delhi,
2000
6. Physical Chemistry by P.W. Atkins, 1980.

M.Sc-I, Semester -I, Materials Science
MS IV. Analytical Techniques -I
1. Ultraviolet and visible Spectrophotometry (UV/Vis.) (8)
Introduction, Beer Lamberts law, Instrumentation, calculation of absorption maximum of dienes, dienons and polyenes, Qualitative and Quantitative applications.
2. Infra-red spectroscopy (IR): (8)
Introduction, instrumentation, sampling technique, selection rule, types of bonds, absorption of common functional groups, Factors frequencies, applications.
3. Nuclear Magnetic Resonance (NMR): (11)
Magnetic and nonmagnetic nuclei, Larmor frequency, absorption of radio frequency,
Instrumentation (FT- NMR). Sample preparation chemical shift, anisotropy effect, spin-spin coupling, coupling constant, applications to Simple structural problems.
4. Mass spectroscopy (MS) (9)
Principle, working of mass sepectrometer, (double beam). Formation of different types of ions, Mc Lafferty rearrangements, framegntetation of alkanes, alkyl aromatics, alcohols and ketones in brief simple applications, simple structural problems based on IR, UV,
NMR and MS.
5. Atomic Absorption Spectroscopy (AAS): (6)
Introduction, principle, difference between AAS and FES. Advantages of AAS over FES,
Disadvantages of AAS, instrumentation, Single and double beam AAS, Detection limits and sensitivity, Interference, Applications.

M.Sc-I, Semester -II, Physics (Applied Electronics) / Materials Science
PHAE-V / MS-V STATISTICAL MECHANICS
Unit I: Foundation of statistical Mechanics. (6)
Thermodynamics, Laws of thermodynamics, Contact between statistics and thermodynamics, the classical ideal gas, entropy of mixing and Gibbs and paradox.
Unit II: Classical statistical mechanics . (8)
Phase space, statistical ensembles, Liouville’s theorem, Micro canonical ensemblecondition for equilibrium, canonical ensemble-partition function, energy fluctuations,
Grand canonical ensemble-partition function, density and number flucations.
Unit III: Quantum Stastical Mechanics (8)
Phase space and quantum states, density matrix, Liouvilles theorem, ensembles, various statistics in quantum mechanics-
Maxwell- Boltzmann, Fermi-Dirac and Bose-Einstein statistics, Ideal Bose gas, Fremi gas, Bose- Einstien condensation.
Unit IV: Interacting system: The method of Cluster expansion (7)
Cluster expansion for a classical gas, virial expansion of the equation of state, evaluation of the virial coefficients, cluster expansion for a quantum mechanical system.
Unit V: Phase transitions and critical phenomena (8)
Phase transition, condition for phase equilibrium, first order phase transition, Clausius-
Clayperon equation, second order phase transition, Critical indices, Properties of matter near the critical point. The law of corresponding states.
Unit VI: Fluctuations (6)
Thermodynamic fluctuations, spatial correlations in a fluid, Einstein - Smoluchowski theory of Brownian motion, Langevin theory of Brownian motion, The fluctuationdeposition theorem, The Fokker-Plank equation.
Reference Books:
1) Introduction to Statistical Mechanics by B.B.Laud
2) Statistical Mechanics by S.K.Sinha
3) Statistical Mechanics by I.D. Landau & F.M.Lifshitz

M.Sc-I, Semester -II, Physics (Applied Electronics) / Materials Science
PHAE-VI / MS-VI QUANTUM MECHANICS
Unit No.1 - Introductory Quantum Mechanics
Waves and quanta: Wave and particle nature of radiation, Wave equation, Interpretation and properties of wave function; Heisenberg uncertainty principle.
Operators, postulates of quantum mechanics, some important theorems, Eigen functions of the position operator and Dirac delta function. (AKC, pp 1-32) (8)
Unit 2 - Wave Mechanics of simple systems
One dimensional Box, Normalization and orthogonality, Discussion of the factors influencing colour.
One dimensional harmonic oscillator, Normalization and Characteristics of eigen functions of harmonic oscillator, Hydrogen - like atoms, Total wave function of hydrogen- like atom, Prob. Density of 1s atomic orbital, shape of atomic orbital, physical interpretation of hydrogenic orbital, space quantization, electronic spin, Vibration and vibrational spectra of diatomic molecules. [AKC,pp:33-91] (15)
Unit No.3 Many electron atoms
Wave function of many electron systems, Helium atom, Many electron atoms, Hartree and Hartree Fock self consistent field methods. [AKC, pp: 120-130) (7)
Unit No. 4- Molecular Orbitals
The Born- Oppenheimer approximation, Molecular orbital theory, Hydrogen molecule ion, Hydrogen Molecule - Molecular Orbital -Valance Band methods.
[AKC, pp: 151-180] (10)
Text Books:
1. Introductory Quantum Chemisty (3rd Ed n
), A. K. Chandra (Tata McGraw Hill).
2. Quantum Chemistry (4th Edition) - Ira N. Levine (Prentice Hall) of India Pvt.
Ltd. New Delhi. 1995.
3. A textbook of Quantum Mechanics - P M Mathews, K Venkatesan. (Tata
McGraw Hil

M.Sc-I, Semester -II, Materials Science
MS VII - MATERIAL CHEMISTRY
1. Chemical bonding in Organic and Inorganic molecules:
Nature of bonding in organic and inorganic molecules, atomic orbitals, concept of localized covalent bond, molecular orbital, hybridization- concept, geometry and shapes of carbon compounds, bond angles, bond lengths, bond order and bond energies of carbon compounds.
Electronegativity scale, partial ionic character of covalent bond, dipole moments and inductive effect. ( 10)
2. Coordination Compounds:
Ionic bond: properties of ionic compounds, ionic radii, factors affecting ionic radii, radius ration, types and structures of simple ionic compounds, lattice energy, Born Lande equation, Born-Haber cycle, applications, size effects, polarizing power and polarizability of ions, covalent characteristics in ionic compounds.
(10)
3. Reaction Mechanism:
Organic reactions and regents, terminology, classification of reagents and reactions, methods of determining reaction mechanisms, kinetic and non-kinetic methods. Reaction kinetics and thermodynamics, energy profile diagrams, free energy, entropies, and volumes of activation. Detection of reaction intermediates, substituent effects isotope effect, solvent effects, kinetic salt effects, tracer technique and catalysis.
Aliphatic nucleophilic substitution at saturated carbon atom. Mechanism, scope and stereochemistry of SN1 SN2 and SN1 reactions, leaving group effects, ambient nucleophiles, and substrates, regiospecificity, neighboring group participation. ( 10)
Stereochemistry:
Optical isomerism, concept of chirality, elements of symmetry, projection formulae-
Fischer, Sawhorse, newman and Flying - Wedge and their interconversion. Optical isomerism due to one or more chiral centers, enantiomers, diasteremomers, epimers, racemic modification and pseado asymmetric compounds, configuration -dl and RS convention. Optical isomerism due to molecular dissymmetry (optical activity in the absence of asymmetric carbon atoms) - allene, spiranes and bipenyls.
Optical isomerism of nitrogen compounds, confirmation analysis of acyclie systems
(ethane, propane, butane and mono and di-substituted cyclohexane). (10)
4. Organometallic compounds:
Synthesis and uses of Grignard reagents organolithium boron and silicon compounds in organic synthesis. Metal carbonyls, olefins, alkyls and metallocene synthesis, structure and bonding. (10)
Reference Book:
1. Concise Inorganic Chemistry, J. D. Lee, ELBS Publications.
2. Advanced Inorganic Chemistry, F A Cotton and Wilkinson, Jhon Wiley Publications.
3. Inorganic Chemistry, Principles and Reactivity, J.D. Huhhey, Harper and Rew.
4. Thereotical Inorganic Chemistry, M.C. Day, Jr. and J Selbin, East West Press/
5. Coordination Chemistr, F. Baslao and W.A. Jhonson- Benjamin Inc.
6. Comprehensive Coordination Chemistry, G. Wilkinson, R.D. Gillars and J.A.
7. Basic Inorganic Chemistry, F.A. Cotton and G. Wilkinson
8. Bibinorganic Chemistry, G.R. Chatwal and Ajay Kumar Bhagi.
9. Principles of Organometallic Chemistry, G.E. Coater, M.L.H. Green, P. Powell & K.
Wade.

M.Sc-I, Semester -II, Physics (Applied Electronics) / Materials Science
PHAE-VIII / MS - VIII- Analytical Techniques - II
1. Atomic Force Microscope (AFM), contact -mode, tapping mode and lateral force AFM, electrostatic force microscope, magnetic force microscope, AFM based nano-lithography, surface force and adhesion measurements, as well as molecular recognition. (07)
2. X-ray photoelectron spectroscopy (XPS) basic principle, instrumentation configuration, data interpretation and analysis, chemical shift, quantification, and depth-profiling. (06)
3. Ultraviolet Photo Spectroscopy (UPS) basic principle, instrumentation configuration, data interpretation and analysis, valence-band analysis and work function measurement. (06)
4. Fourier - Transform InfraRed Spectroscopy (FTIR) and Raman spectroscopy, basic principle, instrumentation configuration date interpretation and analysis, and special techniques such as Attenuated Total Reflection (ATR).
(07)
5. Scanning Electron Microscope (SEM) basic principle and instrumentation configuration, resolution, applications of SEM, types of images, EDS, WDS, scanning probe electron spectroscopy. (08)
6. X-ray Diffraction techniques: Review of basic crystal systems, powder diffraction method, instrumentation of X-ray diffractometer, sources of X-rays, detectors of X-rays, acquisition of raw data, date processing and refinement. (06)
7. Determination of lattice parameters and crystal structure of cubic systems, structure factors, systematic absence of reflections, intensity calculations for cubic system, determination of particle size using X-ray diffractograms, basic concept for determination of lattice parameters for other crystal systems, use of soft-ware packages. (05)

1. Determine the rate constant of an acid catalyzed reaction.
2. Acid base titration employing conductometric titrations.
3. Determine standard electrode potential of copper and zinc electrode.
4. To determine the normality of NH
4
Cl solution by titrating it against standard NaOH solution of known normality conductometrically.
5. To determine the normality of weak base (NH
4
OH) by titrating it against strong acid (HCL) conductometrically.
6. Determination of equivalent conductance of weak electrolyte.
7. Hydrolysis of ethyl acetate conductometrically.
8. To determination the concentration of halide ions form the mixture potentiometrically.
9. To determine the formal redox potential of Fe
+2
/ Fe
+3 system potentiometrically.
10. To determine the dissociation constant of the given monobasic weak acid potentiometrically.
11. To study the effect of temperature on radiation between persulfate and iodide ions to calculate activation energy.
12. Iodination of acetone.
13. Determination of order of reaction by differential method.
14. Determination of Ea of acid catalyzed hydrolysis of an ester.
15. Study of filter circuits.
16. Voltage regulator.
17. Transistor Biasing.
18. Op-amp parameters.
19. DTL gates.
20. Crystal structure of cubic systems.
21. Temperature variations Zener breakdown voltage.
22. Band gap of Ge-diode.
23. Verification of Dr Morgan’s theorem.

1. Spectral Analysis of Organic Compounds. ( 15 Practicals )
16. C.E. Amplifier Design.
17. Wein Bridge Oscillator.
18. Op-Amp as an amplifier.
19. Astable Multivibrator.
20. FET characteristics.
21. Characteristics of Opto isolator.
22. Study of RTD.
23. Study of Thermister as a temperature transducer.

1.
Structure of the courses :-
A) Each paper of every subject for Arts, Social Sciences & Commerce Faculty shall be of 50 marks as resolved by the respective faculties and Academic Council.
B) For Science Faculty subjects each paper shall be of 50 marks and practical for every subject shall be of 50 Marks as resolved in the faculty and Academic Council.
C) For B. Pharmacy also the paper shall be of 50 marks for University examination.
Internal marks will be given in the form of grades.
D) For courses which were in semester pattern will have their original distribution already of marks for each paper.
E) For the faculties of Education, Law, Engineering the course structure shall be as per the resolutions of the respective faculties and Academic Council.
2.
Nature of question paper:
A) Nature of questions.
“20% Marks - objectives question” (One mark each and multiple choice
questions)
“40% Marks - Short notes / Short answer type questions / Short
Mathematical type questions / Problems. (2 to 5 Marks each)
“40% Marks - Descriptive type questions / Long Mathematical
type questions / Problems. (6 to 10 Marks each)
B) Objective type question will be of multiple choice (MCQ) with four alternatives. This answer book will be collected in first 15 minutes for 10 marks and in first 30 minutes for 20 marks. Each objective question will carry one mark each.
C) Questions on any topic may be set in any type of question. All questions should be set in such a way that there should be permutation and combination of questions on all topics from the syllabus. As far as possible it should cover entire syllabus.
D) There will be only five questions in the question paper. All questions will be
compulsory. There will be internal option (30%) and not overall option.
for questions 2 to 5.
3.
Practical Examination for B. Sc. I. will be conducted at the end of second semester.
4.
Examination fees for semester Examination will be decided in the Board of
Examinations.
The structures of all courses in all Faculties were approved and placed before the
Academic Council. After considered deliberations and discussion it was decided not to convene a meeting of the Academic Council for the same matter as there is no deviation from any decision taken by Faculties and Academic Council. Nature of Question Paper approved by Hon. Vice Chancellor on behalf of the Academic Council.