# PAPER-I

## Chemical periodicity

Periodic properties and group trends.

## Theories of chemical bonding

VSEPR theory

LCAO

types of
molecular orbitals

molecular orbital diagrams of homo and
heteronuclear (diatomic and polyatomic) molecules.

## Acid and Bases

Concepts of acids and bases

hard and soft acid base
concepts.

## Transition metal chemistry

Electronic configuration, variable
oxidation states, magnetic properties, charge transfer spectra, metal
atom clusters, stereochemistry of co-ordination compounds, their
IUPAC names, metal-ligand bonding

ligand field theory of complexes,
high and low spin complexes, CFSE, Jahn-Teller effect, spectral and
magnetic properties of complexes.

## Nomenclature

IUPAC nomenclature of organic compounds.

## Electronic displacements and aromaticity

Inductive, electromeric,
mesomeric and hyperconjugative effects, electrophiles, nucleophiles,
free radicals

Resonance and its applications to organic compounds

Effect of structure on the dissociation constants of organic acids and
bases

Hydrogen bond and its effects on the properties of organic
compounds

Aromaticity, Huckel’s rule and its applications

Annulenes
and heteroannulenes.

## Reaction mechanisms

Addition, substitution, elimination and
rearrangements (carbon to carbon, carbon to nitrogen)

Reactive
intermediates like benzynes, carbenes and nitrenes

Non-classical
carbonium ion, neighbouring group participation

Some name reactions:
Aldol,Cannizaro’s, Perkin, Stobbe, Dieckmann condensations,
Hoffmann, Schmidt, Lossen, Curtius, Beckmann and Fries
rearrangement

Reformatsky, Wittig, Favorskii, Shapiro and Baeyer-
Villiger reaction, Michael addition.

## Aromatics, heteroaromatics and dyes

Synthesis and important
reactions of anthracene, phenanthrene, biphenyl, furan, thiophene,
pyrrole, pyridine, quinoline, isoquinoline and indole

Modern theories
of colour and constitution

chemistry of indigo and alizarin.

## Stereochemistry and conformational analysis

Elements of
symmetry

Optical and geometrical isomerism

E,Z and R,S notations,
Conformations of alkanes and cycloalkanes and their effect on
reactivity

Asymmetric synthesis, stereoselective and stereospecific
synthesis.

## Spectroscopy

Rotational and vibrational spectra of diatomic molecules
, selection rules

Principles and applications of electronic, IR, NMR and
Mass spectroscopy and their combined applications for structural
elucidation of organic compounds

ESR, Raman, photoacoustic and
photoelectron spectroscopy.

## Nuclear chemistry

Radioactive decay

mass defect and binding
energy

nuclear reactions

nuclear transformation

fission and fusion

neutron activation analysis

applications of isotopes.

## Chemical kinetics

Rates of chemical reactions

methods of
determining rate laws

Arrhenius equation

collision theory of reaction
rates

steric factor

theory of absolute reaction rates

theory of
unimolecular reactions

salt effect

kinetics of photochemical reactions.

## Thermodynamics

First law, relation between Cp and Cv, enthalpies of
physical and chemical changes, temperature dependence of enthalpies,
second law, entropy, Gibbs and Helmholtz functions, evaluation of
entropy and Gibbs function, Gibbs-Helmholtz equation, Maxwell
relations

Thermodynamics of ideal and non-ideal gases and solutions

Third law of thermodynamics.

## Electrochemistry and ionic equilibria

Theory of strong electrolytes

equilibria in electrochemical cells

cell reactions

Nernst equation

applications of cells

e.m.f. measurements

concentration cells

fuel
cells

electrolysis

corrosion and its prevention.

## Environmental Chemistry

Atmospheric layers

Vertical temperature
profile,heat/radiation budget of the earth atmospheric systems, lapse
rate

Temperature inversion

Pressure variation in atmosphere and scale
height

Sources of nitrogen dioxide, sulphur dioxide, carbon oxides,
chloroflurocarbon, methane and other hydrocarbons in atmosphere, air
pollution

Mechanism of photochemical decomposition of NO2 and
formation of ozone, hydroperoxy and organic radicals

Reactions of
hydroxyl radical with methane, SO2 and NO2

Photochemical smog

Stratospheric ozone depletion, Green house effect.

# Paper-II

## Mathematical Methods of Physics

Dimensional analysis

Vector algebra and vector calculus

Linear algebra,
matrices, Cayley Hamilton theorem, eigenvalue problems

Linear differential
equations

Special functions (Hermite, Bessel, Laguerre and Legendre)

Fourier
series, Fourier and Laplace transforms

Elements of complex analysis

Elementary ideas about tensors

Introductory group theory

Elements of
computational techniques: roots of functions, interpolation, extrapolation,
integration by trapezoid and Simpson’s rule, solution of first order differential
equations using Runge-Kutta method

Finite difference methods

Elementary
probability theory, random variables, binomial, Poisson and normal
distributions.

## Classical Mechanics

Newton’s laws

Phase space dynamics, stability analysis

Central-force motion

Two-body collisions, scattering in laboratory and centre-of-mass frames

Rigid
body dynamics, moment of inertia tensor, non-inertial frames and pseudoforces

Variational principle, Lagrangian and Hamiltonian formalisms and equations of
motion

Poisson brackets and canonical transformations

Symmetry, invariance
and conservation laws, cyclic coordinates

Periodic motion, small oscillations
and normal modes

Special theory of relativity, Lorentz transformations,
relativistic kinematics and mass–energy equivalence.

## Quantum Mechanics

Wave-particle duality

Wave functions in coordinate and momentum
representations

Commutators and Heisenberg's uncertainty principle

Matrix
representation

Dirac’s bra and ket notation

Schroedinger equation (timedependent
and time-independent)

Eigenvalue problems such as particle-in-abox,
harmonic oscillator, etc.

Tunneling through a barrier

Motion in a central
potential

Orbital angular momentum, Angular momentum algebra, spin

Addition of angular momenta

Hydrogen atom, spin-orbit coupling, fine
structure

Time-independent perturbation theory and applications

Variational
method

WKB approximation

Time dependent perturbation theory and Fermi's
Golden Rule

Selection rules

Semi-classical theory of radiation

Elementary
theory of scattering, phase shifts, partial waves, Born approximation

Identical
particles, Pauli's exclusion principle, spin-statistics connection

Relativistic
quantum mechanics: Klein Gordon and Dirac equations.

## Thermodynamic and Statistical Physics

Laws of thermodynamics and their consequences

Thermodynamic potentials,
Maxwell relations

Chemical potential, phase equilibria

Phase space, microand
macrostates

Microcanonical, canonical and grand-canonical ensembles and
partition functions

Free Energy and connection with thermodynamic quantities

First- and second-order phase transitions

Classical and quantum statistics, ideal
Fermi and Bose gases

Principle of detailed balance

Blackbody radiation and
Planck's distribution law

Bose-Einstein condensation

Random walk and
Brownian motion

Introduction to nonequilibrium processes

Diffusion
equation.

## Nuclear and Particle Physics

Basic nuclear properties: size, shape, charge distribution, spin and parity

Binding energy, semi-empirical mass formula

Liquid drop model

Fission and
fusion

Nature of the nuclear force, form of nucleon-nucleon potential

Chargeindependence
and charge-symmetry of nuclear forces

Isospin

Deuteron
problem

Evidence of shell structure, single- particle shell model, its validity
and limitations

Rotational spectra

Elementary ideas of alpha, beta and gamma
decays and their selection rules

Nuclear reactions, reaction mechanisms,
compound nuclei and direct reactions

Classification of fundamental forces

Elementary particles (quarks, baryons, mesons, leptons)

Spin and parity
assignments, isospin, strangeness

Gell-Mann-Nishijima formula

C, P, and T
invariance and applications of symmetry arguments to particle reactions, parity
non-conservation in weak interaction

Relativistic kinematics.