Physical Chemistry  | Structure  | Quantum mechanics postulates, Schrödinger equations, Born interpretation, Dirac bra-ket notation, Particle in a box, Harmonic oscillator, Rotational motion, Hydrogen and hydrogen-like atoms, Multi-electron atoms, Approximation Methods, Atomic units.  | 
Molecular Structure and Bonding  | Born-Oppenheimer approximation, Valence bond theory, LCAO-MO theory, Hybrid orbitals, LCAO-MO theory applications, Orbital theory (MOT), Hückel approximation.  | 
Group Theory  | Symmetry elements, Point groups, Character tables, Vibrational modes, Hybrid orbitals.  | 
Spectroscopy  | Atomic spectroscopy, Rotational, vibrational, electronic, Raman spectroscopy, Line broadening, NMR, Chemical shift, Nuclear coupling.  | 
Equilibrium  | Laws of thermodynamics, Thermochemistry, Thermodynamic functions, Gibbs-Helmholtz relations, Chemical equilibria, Ionic mobility, Debye-Hückel law, Nernst Equation, Phase rule, Clausius-Clapeyron equation, Statistical thermodynamics, Phase diagrams.  | 
Kinetics  | Reaction types, Steady-state approximation, Transition state theory, Catalysis, Kinetics of photochemical processes, Fast reaction kinetics.  | 
Surfaces and Interfaces  | Adsorption, Surface catalysis, Langmuir-Hinshelwood mechanism, Surface tension, Colloids, Micelles.  | 
Inorganic Chemistry  | Main Group Elements  | Hydrides, Halides, Oxides, Oxoacids, Boranes, Silicones, Boron nitride, Borazines, Phosphazenes, Allotropes of carbon, phosphorus, sulfur, Acid-base concepts, Noble gasses.  | 
Transition Elements  | Coordination chemistry, Crystal field theory, Electronic spectra, Magnetic properties, Reaction mechanisms, Substitution and redox reactions, Metal-metal bonds.  | 
Lanthanides and Actinides  | Recovery methods, Periodic properties, Spectra, Magnetic properties.  | 
Organometallics  | 18-Electron rule, Metal complexes, Homogeneous and heterogeneous catalysis.  | 
Radioactivity  | Detection of radioactivity, Decay processes, Fission, Fusion.  | 
Bioinorganic Chemistry  | Ion transport, Oxygen binding, Metalloenzymes, Electron transfer, Nitrogen fixation.  | 
Solids  | Crystal systems, Crystal defects, Bragg’s law, Ionic crystals, Structures of compounds, Band theory, Metals and semiconductors.  | 
Instrumental Methods of Analysis  | UV-visible, FTIR, NMR, Mass spectrometry, X-ray crystallography, Chromatography, Electroanalytical methods.  | 
Organic Chemistry  | Stereochemistry  | Chirality, Symmetry, Stereoisomers, Stereoselective synthesis, Conformational analysis, Geometrical and optical isomerism, Atropisomerism.  | 
Reaction Mechanisms  | Kinetic vs. thermodynamic control, Substitution reactions, Addition reactions, Elimination reactions, Reactive intermediates (carbocations, carbanions, radicals, etc.).  | 
Organic Synthesis  | Synthesis and reactions of various organic compounds, Use of reagents, Carbon-carbon bond formation, Concepts of multistep synthesis, Selectivity in synthesis, Functional group protection, Asymmetric synthesis, Bond forming reactions, Stereoselective additions.  | 
Pericyclic Reactions and Photochemistry  | Electrocyclic, Cycloaddition, Sigmatropic reactions, Orbital correlations, Photochemistry of alkenes, arenes, and carbonyl compounds, Photooxidation, Photoreduction, Norrish reactions.  | 
Heterocyclic Compounds  | Structure, Preparation, Properties, and Reactions of furan, pyrrole, thiophene, pyridine, indole, quinoline, and isoquinoline.  | 
Biomolecules  | Structure, Properties, and Reactions of sugars, amino acids, peptides, proteins, nucleic acids, lipids, steroids, terpenoids, carotenoids, and alkaloids.  | 
Experimental Techniques  | Optical rotation, Chromatographic techniques (TLC, column, HPLC, GC), Applications of UV-visible, IR, NMR, Mass spectrometry in structural determination of organic molecules.  |