GATE CY Syllabus 2027: Overview

GATE Chemistry is designed around three broad areas of chemistry. Physical Chemistry includes quantum chemistry, thermodynamics, statistical mechanics, kinetics, electrochemistry and surface chemistry. Inorganic Chemistry covers main-group chemistry, transition metals, organometallics, bioinorganic chemistry, solid-state chemistry and instrumental analysis. Organic Chemistry covers stereochemistry, mechanisms, synthesis, oxidation, reduction, pericyclic reactions, heterocycles, biomolecules and experimental techniques.

Candidates should prepare the syllabus systematically because several topics require both conceptual understanding and numerical or mechanism-based problem solving.

GATE 2027 Chemistry Syllabus at a Glance

Structure and Quantum Chemistry

• Postulates of quantum mechanics.
• Operators.
• Commutation relations.
• Expectation values.
• Wave function and its absolute square.
• Time-dependent and time-independent Schrödinger equations.
• Born interpretation.
• Dirac bra-ket notation.
• Solvable quantum mechanical model systems.

Particle in a Box

• Finite and infinite potential barriers.
• Solutions and interpretation of wave functions.
• Quantum tunnelling.
• One-dimensional, two-dimensional and three-dimensional boxes.
• Applications of particle-in-a-box models.

Harmonic Oscillator

• Exact wave-function solutions.
• Properties of Hermite polynomials.
• One-dimensional eigenvalues.
• Expectation values of potential and kinetic energy.
• Harmonic and anharmonic potentials.

Rotational Motion

• Angular momentum operators.
• Orbital and spin angular momentum.
• Spherical harmonics and their properties.

Hydrogen and Hydrogen-like Atoms

• Atomic orbitals.
• Radial and angular distribution functions.
• Atomic units.
• Orbital approximation for multi-electron atoms.
• Electron spin.
• Pauli exclusion principle.
• Slater determinants.
• Variational method.
• Secular determinants.
• First-order non-degenerate perturbation theory.

Molecular Structure and Chemical Bonding

• Born-Oppenheimer approximation.
• Valence bond theory treatment of the hydrogen molecule.
• Linear Combination of Atomic Orbitals-Molecular Orbital (LCAO-MO) theory.
• Hybridization and hybrid orbitals.
• Molecular orbital theory of homonuclear and heteronuclear diatomic molecules.
• Hückel theory.
• Simple conjugated pi-electron systems.

Group Theory

• Symmetry elements and symmetry operations.
• Postulates of groups.
• Group multiplication tables.
• Classes and reducible and irreducible representations.
• Classification and labelling of molecular point groups.
• Symmetry-based selection rules.
• Electronic and vibrational spectroscopy applications.
• Symmetry labelling of vibrational modes.
• Symmetry-adapted LCAO-MO.
• Construction of hybrid orbitals using molecular point-group symmetry.

Spectroscopy

• Atomic spectroscopy.
• Russell-Saunders coupling.
• Term symbols and spectral details.
• Selection rules.
• Rotational spectroscopy.
• Vibrational spectroscopy.
• Electronic spectroscopy.
• Raman spectroscopy.
• Line broadening and line widths.
• Gaussian and Lorentzian line shapes.
• Beer-Lambert law.
• Einstein coefficients.
• Jablonski diagram.
• Transition moment integral.
• Molar extinction coefficient and oscillator strength.
• Basic Nuclear Magnetic Resonance principles.
• Gyromagnetic ratio, chemical shift and nuclear coupling.

Equilibrium and Thermodynamics

• Laws of thermodynamics.
• Standard states.
• Thermochemistry.
• Thermodynamic functions and their relationships.
• Gibbs-Helmholtz relation.
• Maxwell relations.
• Gibbs-Duhem equation.
• Van't Hoff equation.
• Criteria for spontaneity and equilibrium.
• Absolute entropy.
• Partial molar quantities.
• Thermodynamics of mixing.
• Chemical potential.
• Fugacity.
• Activity and activity coefficient.
• Chemical equilibria.
• Dependence of equilibrium constants on temperature and pressure.

Solutions

• Ideal solutions.
• Non-ideal solutions.
• Raoult's law.
• Henry's law.

Electrochemistry

• Standard electrode potential.
• Electrochemical cells.
• Nernst equation and applications.
• Relationship between electrode potential and thermodynamic quantities.
• Potentiometric titrations.
• Conductometric titrations.
• Ionic mobility and conductivity.
• Kohlrausch law.
• Debye-Hückel limiting law.
• Debye-Hückel-Onsager equation.

Phase Equilibria

• Phase rule.
• Clausius-Clapeyron equation.
• One-component phase diagrams of CO2, H2O and sulfur.
• Two-component liquid-vapor systems.
• Two-component liquid-liquid systems.
• Two-component solid-liquid systems.
• Fractional distillation.
• Azeotropes.
• Eutectics.

Statistical Thermodynamics

• Microcanonical ensemble.
• Canonical ensemble.
• Grand canonical ensemble.
• Boltzmann distribution.
• Partition functions.
• Thermodynamic properties from partition functions.
• Statistical mechanics of non-interacting systems.
• Ideal monoatomic and diatomic gases.
• Translational, rotational, vibrational and electronic partition functions.

Kinetics and Reaction Dynamics

• Elementary reactions.
• Parallel reactions.
• Opposing reactions.
• Consecutive reactions.
• Steady-state approximation.
• Mechanisms of complex reactions.
• Unimolecular reactions.
• Potential energy surfaces and classical trajectories.
• Saddle points.
• Transition state theory.
• Eyring equation.
• Kinetics of polymerization.
• Catalysis and enzyme catalysis.
• Kinetic isotope effects.
• Fast reaction kinetics.
• Relaxation and flow methods.
• Diffusion-controlled reactions.
• Photophysical processes.
• Quantum yield.
• Static and dynamic quenching.

Surfaces and Interfaces

• Physisorption.
• Chemisorption.
• Langmuir isotherm.
• Freundlich isotherm.
• Brunauer-Emmett-Teller (BET) isotherm.
• Langmuir-Hinshelwood mechanism.
• Surface tension.
• Viscosity.
• Physical chemistry of colloids, micelles and macromolecules.
• Self-assembly.

Main Group Elements

• Shapes and structures of molecules using VSEPR theory.
• Hydrides, halides, oxides, oxoacids, nitrides and sulfides.
• Structure and reactivity of main-group compounds.
• Boranes and carboranes.
• Silicones and silicates.
• Boron nitride and borazine.
• Phosphazenes.
• Electron counting in polyhedral boranes.
• Isolobal analogy.
• Allotropes of carbon, phosphorus and sulfur.
• Industrial synthesis of NH3, H2SO4 and HNO3.
• Noble gases.
• Interhalogen compounds.
• Lewis, Brønsted and HSAB acid-base concepts.
• Acid-base catalysis.

Transition Metals

• Coordination chemistry.
• Structure and isomerism of coordination compounds.
• Valence Bond Theory.
• Crystal Field Theory.
• Molecular Orbital Theory.
• Metal-metal multiple bonds.
• Crystal-field energy-level diagrams.
• Crystal Field Stabilization Energy.
• Jahn-Teller distortion.
• Electronic spectra of transition-metal complexes.
• Orgel diagrams.
• Tanabe-Sugano diagrams.
• Nephelauxetic effect and Racah parameter.
• Charge-transfer spectra.
• Magnetic properties.
• Ray-Dutt and Bailar twists.
• Substitution and redox reaction mechanisms.

Lanthanides and Actinides

• Recovery of lanthanides and actinides.
• Periodic properties.
• Spectral properties.
• Magnetic properties.

Organometallic Chemistry

• 18-electron rule.
• Metal-alkyl complexes.
• Metal-carbonyl complexes.
• Metal-olefin complexes.
• Metal-carbene complexes.
• Metallocenes.
• Fluxionality.
• Organometallic reaction types.
• Homogeneous catalysis including hydrogenation, hydroformylation, methanol-to-acetic-acid process, olefin metathesis and Wacker oxidation.
• Heterogeneous catalysis including Fischer-Tropsch reaction and Ziegler-Natta polymerization.

Bioinorganic Chemistry

• Sodium and potassium ion transport.
• Oxygen binding, transport and utilization.
• Electron-transfer reactions.
• Nitrogen fixation.
• Metalloenzymes containing magnesium, molybdenum, iron, cobalt, copper and zinc.

Solid-State Chemistry

• Crystal systems and lattices.
• Miller planes.
• Crystal packing.
• Crystal defects.
• Bragg's law.
• Ionic crystals.
• Structures of AX, AX2 and ABX3 compounds.
• Spinels.
• Band theory.
• Metals and semiconductors.
• Zeolites and their applications.

Instrumental Methods of Analysis

• UV-visible spectrophotometry.
• Fluorescence spectrophotometry.
• FT-IR spectroscopy.
• NMR spectroscopy.
• ESR spectroscopy.
• Mass spectrometry.
• Atomic absorption spectroscopy.
• Mössbauer spectroscopy of iron and tin.
• X-ray crystallography.
• Cyclic voltammetry.
• Ion-selective electrodes.
• Thermogravimetric analysis.
• Differential thermal analysis.
• Differential scanning calorimetry.

General Concepts

• Relationship between molecular structure and basicity.
• Relationship between molecular structure and acidity.
• Role of aromatic stability in physical properties.

Stereochemistry

• Chirality and symmetry of organic molecules.
• Absolute configuration and optical purity.
• Relative stereochemistry of compounds with multiple stereogenic centres.
• Homotopic, enantiotopic and diastereotopic atoms, groups and faces.
• Conformational analysis of acyclic and cyclic compounds.
• Geometrical and optical isomerism.
• Configurational and conformational effects.
• Atropisomerism.
• Neighbouring group participation.
• Stereoselective and stereospecific synthesis.
• Enantiomeric excess.

Reaction Mechanisms

• Basic mechanistic concepts.
• Energy profile diagrams.
• Kinetic versus thermodynamic control.
• Hammond postulate.
• Curtin-Hammett principle.
• Methods for determining reaction mechanisms using kinetics, products, intermediates and isotopic labelling.
• Solvent effects in substitution and elimination reactions.
• Hammett and Taft equations.

Types of Organic Reactions

• Nucleophilic substitution reactions.
• Electrophilic substitution reactions.
• Aromatic and aliphatic substitution.
• Addition to carbon-carbon multiple bonds.
• Addition to carbon-heteroatom multiple bonds.
• Elimination reactions.
• Carbocations.
• Carbanions.
• Carbenes.
• Nitrenes.
• Arynes.
• Free radicals.
• Molecular rearrangements.
• Barton decarboxylation.
• Barton-McCombie reaction.
• Hunsdiecker reaction.

Organic Synthesis

• Synthesis, reactions, mechanisms and selectivity of alkenes and alkynes.
• Arenes, alcohols and phenols.
• Aldehydes and ketones.
• Carboxylic acids and esters.
• Nitriles and halides.
• Nitro compounds, amines and amides.
• Mg-, Li-, Cu-, B-, Zn-, P-, S-, Sn- and Si-based reagents.
• Heck coupling.
• Suzuki coupling.
• Stille coupling.
• Sonogashira coupling.
• Negishi coupling.
• Kumada coupling.
• Hiyama coupling.
• Tsuji-Trost reaction.
• Olefin metathesis.
• McMurry coupling.
• Buchwald-Hartwig amination.
• Baylis-Hillman reaction.
• Henry reaction.
• Ritter reaction.
• Sakurai reaction.
• Tebbe olefination.
• Pauson-Khand reaction.
• Nazarov cyclization.
• Retrosynthetic analysis.
• Strategic disconnections, synthons and synthetic equivalents.
• Atom economy and green chemistry.
• Umpolung reactivity.
• Chemo-, regio- and stereoselectivity.
• Protection and deprotection of functional groups.
• Asymmetric synthesis.
• Resolution and enzymatic resolution.
• Desymmetrization.
• Chiral auxiliaries.
• Organocatalysis.
• Enolates, enamines and silyl enol ethers.
• Cram, Prelog and Felkin-Anh models.
• Asymmetric aldol reactions.
• Evans reaction.
• Proline-catalyzed reactions.

Oxidation

• Oxidation of alcohols using chromium and manganese reagents.
• DMSO-based oxidation.
• Hypervalent iodine reagents.
• Peracid oxidation of alkenes and carbonyl compounds.
• Conversion of alkenes to diols.
• Ozonolysis.
• Hydroboration-oxidation.
• Sharpless asymmetric epoxidation.
• Jacobsen asymmetric epoxidation.
• Sharpless asymmetric hydroxylation.

Reduction

• Homogeneous catalytic hydrogenation.
• Heterogeneous catalytic hydrogenation.
• Metal-based reductions using lithium and sodium in liquid ammonia.
• Magnesium, zinc, titanium and samarium reductions.
• NaBH4.
• L-Selectride and K-Selectride.
• Luche reduction.
• LiAlH4.
• DIBAL-H.

Pericyclic Reactions and Photochemistry

• Electrocyclic reactions.
• Cycloaddition reactions.
• Sigmatropic reactions.
• Diels-Alder reaction.
• Claisen rearrangement.
• Cope rearrangement.
• Frontier Molecular Orbital method.
• Woodward-Hoffmann rules.
• Photochemistry of alkenes, arenes and carbonyl compounds.
• Photo-oxidation and photo-reduction.
• Di-pi-methane rearrangements.
• Norrish Type I and Type II reactions.
• Paternò-Büchi reaction.
• Photo-Curtius and Wolff rearrangements.
• Barton and Hofmann-Löffler-Freytag reactions.

Heterocyclic Compounds

• Nomenclature of mono- and bicyclic heterocycles.
• Mono- and di-heteroatomic compounds.
• Furan.
• Pyrrole.
• Thiophene.
• Pyridine.
• Indole.
• Quinoline.
• Isoquinoline.

Biomolecules

• Structure, properties and reactions of monosaccharides and disaccharides.
• Physicochemical properties of amino acids.
• Chemical synthesis of peptides.
• Chemical structure determination of peptides and proteins.
• Structural features of proteins.
• Nucleic acids.
• Lipids.
• Steroids.
• Terpenoids.
• Carotenoids.
• Alkaloids.

Experimental Techniques in Organic Chemistry

• Optical rotation and polarimetry.
• Thin-layer chromatography.
• Column chromatography.
• HPLC.
• Gas chromatography.
• UV-visible spectroscopy.
• IR spectroscopy.
• NMR spectroscopy.
• Mass spectrometry for structural determination.

Important Topics for GATE CY 2027

GATE Chemistry 2027 Preparation Strategy

Download GATE 2027 Chemistry Syllabus PDF

The official Chemistry syllabus PDF is available on the GATE 2027 IIT Madras website.