GATE Examinations Courses Syllabus

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Course: Exam Catalyst AI Assisted Learning
Book: GATE Examinations Courses Syllabus
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Date: Monday, 9 February 2026, 10:36 AM

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Identified core and related concepts form GATE syllabus

Syllabus

Historical Perspective section_01

Syllabus
Historical Perspective: Discovery of microbial world; Landmark discoveries relevant to the field of microbiology; Controversy over spontaneous generation; Role of microorganisms in transformation of organic matter and in the causation of diseases.
Core concepts (5)
  • Discovery of the microbial world
  • Landmark discoveries in microbiology
  • Spontaneous generation controversy
  • Microorganisms in transformation of organic matter
  • Microorganisms in causation of diseases
Related concepts (6)
  • Development of microscopy and staining
  • Germ theory vs miasma theory
  • Sterilization, disinfection, and aseptic technique
  • Fermentation and industrial microbiology origins
  • Epidemiology and public health milestones
  • Concept of microbial ubiquity

Methods in Microbiology section_02

Syllabus
Methods in Microbiology: Pure culture techniques; Principles of microbial nutrition; Enrichment culture techniques for isolation of microorganisms; antigen and antibody detection methods for microbial diagnosis; Light-, phase contrast-, fluorescence- and electron-microscopy; PCR, real-time PCR for quantitation of microbes; Next generation sequencing technologies in microbiology.
Core concepts (7)
  • Pure culture techniques
  • Principles of microbial nutrition
  • Enrichment culture techniques
  • Antigen and antibody detection for diagnosis
  • Light, phase contrast, fluorescence, and electron microscopy
  • PCR and real-time PCR for quantitation
  • Next-generation sequencing technologies
Related concepts (8)
  • Aseptic technique and contamination control
  • Culture media types
  • Quantitative microbial growth concepts
  • Immunological specificity and cross-reactivity
  • Microscopy sample preparation
  • Nucleic acid extraction and quality control
  • Bioinformatics fundamentals for sequencing
  • Diagnostic test performance

Microbial Taxonomy and Diversity section_03

Syllabus
Microbial Taxonomy and Diversity: Bacteria, Archaea and their broad classification; Eukaryotic microbes: yeasts, molds and protozoa; Viruses and their classification; Molecular approaches to microbial taxonomy and phylogeny.
Core concepts (5)
  • Bacteria broad classification
  • Archaea broad classification
  • Eukaryotic microbial diversity
  • Viral diversity and classification
  • Molecular taxonomy and phylogeny
Related concepts (8)
  • Species concept and operational taxonomy
  • Taxonomic ranks and nomenclature
  • Prokaryotic vs eukaryotic cell organization
  • Phenotypic and chemotaxonomic markers
  • Horizontal gene transfer and genome plasticity
  • Molecular markers and genomic similarity metrics
  • Phylogenetic methods basics
  • Viral replication strategies (Baltimore framework linkage)

Prokaryotic Cells: Structure and Function section_04

Syllabus
Prokaryotic Cells: Structure and Function: Cell walls, cell membranes and their biosynthesis, mechanisms of solute transport across membranes, flagella and pili, capsules, cell inclusions like endospores and gas vesicles; bacterial locomotion, including positive and negative chemotaxis.
Core concepts (10)
  • Prokaryotic cell wall structure
  • Cell wall biosynthesis
  • Prokaryotic cell membrane structure
  • Cell membrane biosynthesis
  • Solute transport across membranes
  • Flagella
  • Pili (fimbriae)
  • Capsules
  • Cell inclusions- endospores and gas vesicles
  • Bacterial locomotion and chemotaxis
Related concepts (8)
  • Gram-positive vs Gram-negative envelope differences
  • Outer membrane components and porins
  • S-layer and archaeal cell wall variants
  • Membrane energetics
  • Two-component signaling systems
  • Biofilms and extracellular polymeric substances
  • Antibiotic targets in wall/membrane synthesis
  • Methods to study structure and motility

Microbial Growth section_05

Syllabus
Microbial Growth: Definition of growth; Growth curve; Mathematical expression of exponential growth phase; Measurement of growth and growth yields; Synchronous growth; Continuous culture; Effect of environmental factors on growth; Bacterial biofilm and biofouling.
Core concepts (8)
  • Definition of microbial growth
  • Microbial growth curve
  • Exponential growth mathematics
  • Measurement of growth and growth yields
  • Synchronous growth
  • Continuous culture
  • Environmental effects on growth
  • Biofilms and biofouling
Related concepts (8)
  • Growth rate parameters and units
  • Monod growth kinetics (conceptual linkage)
  • Viable vs total counts
  • Calibration and standard curves
  • Maintenance energy and stationary phase physiology
  • Quorum sensing and regulation in biofilms
  • Mass transfer limits in biofilms
  • Control strategies for biofouling

Control of Micro-organisms section_06

Syllabus
Control of Micro-organisms: Disinfection and Sterilization—principles, methods and assessment of efficacy.
Core concepts (4)
  • Principles of disinfection and sterilization
  • Physical methods of sterilization
  • Chemical disinfection and chemical sterilants
  • Assessment of efficacy (validation and monitoring)
Related concepts (8)
  • Terminology and levels of control
  • Microbial resistance determinants
  • Kinetics of microbial death
  • D-value and Z-value concepts
  • Sterility assurance level (SAL)
  • Cleaning and bioburden reduction
  • Packaging, loading, and penetration
  • Indicators and controls

Microbial Metabolism section_07

Syllabus
Microbial Metabolism: Energetics (redox reactions and electron carriers); Electron transport and oxidative phosphorylation; An overview of metabolism; Glycolysis; Pentose-phosphate pathway; Entner-Doudoroff pathway; Glyoxalate pathway; The citric acid cycle; Fermentation; Aerobic and anaerobic respiration; Chemolithotrophy; Photosynthesis; Calvin cycle; Biosynthetic pathway for fatty acids synthesis; Common regulatory mechanisms in synthesis of amino acids; Regulation of major metabolic pathways.
Core concepts (18)
  • Bioenergetics and redox
  • Electron carriers
  • Electron transport chain and oxidative phosphorylation
  • Metabolic organization overview
  • Glycolysis (EMP pathway)
  • Pentose phosphate pathway (PPP)
  • Entner–Doudoroff (ED) pathway
  • Glyoxylate pathway (shunt)
  • Citric acid cycle (TCA)
  • Fermentation
  • Aerobic respiration
  • Anaerobic respiration
  • Chemolithotrophy
  • Photosynthesis in microbes
  • Calvin cycle
  • Fatty acid biosynthesis
  • Regulation of amino acid biosynthesis
  • Regulation of major metabolic pathways
Related concepts (10)
  • Thermodynamic vs kinetic control
  • Proton motive force components
  • Substrate-level phosphorylation
  • Redox balancing logic
  • Anaplerotic reactions
  • Alternative central carbon routes
  • Terminal oxidases and nitrate reductases (conceptual)
  • Phototrophic electron donors and acceptors
  • Metabolic flux and regulation perspective
  • Experimental readouts in metabolism

Microbial Diseases and Host Pathogen Interaction section_08

Syllabus
Microbial Diseases and Host–Pathogen Interaction: Normal microbiota; classification of infectious diseases; reservoirs of infection; nosocomial infection; opportunistic infections; emerging infectious diseases; mechanism of microbial pathogenicity; nonspecific defense of host; antigens and antibodies; humoral and cell mediated immunity; vaccines; passive immunization; immune deficiency; human diseases caused by viruses, bacteria, and pathogenic fungi.
Core concepts (15)
  • Normal microbiota
  • Classification of infectious diseases
  • Reservoirs and transmission of infection
  • Nosocomial (healthcare-associated) infections
  • Opportunistic infections
  • Emerging infectious diseases
  • Mechanisms of microbial pathogenicity
  • Innate (nonspecific) host defenses
  • Antigens and antibodies
  • Humoral immunity
  • Cell-mediated immunity
  • Vaccines
  • Passive immunization
  • Immune deficiency
  • Human diseases caused by viruses, bacteria, and pathogenic fungi
Related concepts (10)
  • Colonization resistance and dysbiosis
  • Infection vs disease vs colonization
  • Epidemiologic measures and outbreak basics
  • Virulence factors and pathogenicity islands
  • Biofilms in infection
  • Antigen presentation and MHC concept
  • Hypersensitivity and immunopathology
  • Vaccination strategies
  • Diagnostic immunology linkages
  • Antimicrobial resistance as an emergence driver

Chemotherapy/Antibiotics section_09

Syllabus
Chemotherapy/Antibiotics: General characteristics of antimicrobial drugs; Antibiotics—classification, molecular mechanism of mode of action and resistance; Antifungal and antiviral drugs.
Core concepts (6)
  • General characteristics of antimicrobial drugs
  • Antibiotic classification
  • Molecular mechanisms of antibacterial action
  • Molecular mechanisms of antibacterial resistance
  • Antifungal drugs
  • Antiviral drugs
Related concepts (8)
  • Pharmacodynamic principles (conceptual)
  • MIC, MBC, and susceptibility testing logic
  • Combination therapy and synergy/antagonism
  • Intrinsic vs acquired resistance
  • Horizontal gene transfer in AMR
  • Tolerance and persistence vs resistance
  • Antibiotic stewardship concepts
  • Fungal and viral biology constraints

Microbial Genetics section_10

Syllabus
Microbial Genetics: Types of mutation; UV and chemical mutagens; Selection of mutants; Ames test for mutagenesis; Bacterial genetic system: transformation, conjugation, transduction, recombination, plasmids, transposons; DNA repair; Regulation of gene expression: repression and induction; Operon model; Bacterial genome with special reference to E. coli; Phage \u03bb and its life cycle; RNA; mutation in virus genomes, virus recombination and reassortment; Basic concept of microbial genomics.
Core concepts (18)
  • Types of mutation
  • UV and chemical mutagens
  • Selection of mutants
  • Ames test for mutagenesis
  • Bacterial transformation
  • Bacterial conjugation
  • Bacterial transduction
  • Recombination in bacteria
  • Plasmids
  • Transposons
  • DNA repair
  • Regulation of gene expression- repression and induction
  • Operon model
  • Bacterial genome with special reference to E. coli
  • Phage lambda (\\u03bb) and its life cycle
  • RNA in microbial genetics
  • Viral genome mutation, recombination, and reassortment
  • Basic concepts of microbial genomics
Related concepts (8)
  • Genotype to phenotype mapping
  • Mutational load and DNA damage tolerance
  • Gene mapping logic in bacteria
  • Restriction-modification and CRISPR (context for gene transfer)
  • Plasmid biology in AMR spread
  • Regulatory networks beyond operons
  • Mobile genetic elements in genome evolution
  • Differences between bacterial and viral genetics

Microbial Ecology section_11

Syllabus
Microbial Ecology: Microbial interactions; Carbon, sulphur and nitrogen cycles; Soil microorganisms associated with vascular plants; Bioremediation; Uncultivable microorganisms; basic concept of metagenomics and metatranscriptomics.
Core concepts (8)
  • Microbial interactions
  • Carbon cycle (microbial roles)
  • Nitrogen cycle (microbial roles)
  • Sulphur cycle (microbial roles)
  • Soil microorganisms associated with vascular plants
  • Bioremediation
  • Uncultivable microorganisms
  • Metagenomics and metatranscriptomics
Related concepts (8)
  • Community structure and diversity metrics
  • Microbial niches and microenvironments
  • Biofilms in ecology
  • Syntrophy and interspecies electron transfer
  • Biogeochemical coupling and redox ladders
  • Methods to link taxa to function
  • Sampling and experimental design in ecology
  • Data interpretation pitfalls in meta-omics

Syllabus

Biomolecues section_01

Syllabus
Organization of life; Importance of water; Structure and function of biomolecules: Amino acids, Carbohydrates, Lipids, Proteins and Nucleic acids; Protein structure, folding/misfolding and function; Myoglobin, Hemoglobin, Lysozyme, Ribonuclease A, Carboxypeptidase and Chymotrypsin.
Core concepts (10)
  • Organization of life
  • Importance of water
  • Amino acids
  • Carbohydrates
  • Lipids
  • Proteins
  • Protein structure levels
  • Protein folding and misfolding
  • Nucleic acids
  • Structure–function case proteins
Related concepts (10)
  • Noncovalent interactions in biology
  • pH, buffers, acids and bases
  • Dehydration/condensation reactions
  • Amphipathic self-assembly
  • Denaturation vs degradation
  • Gene-to-protein linkage
  • Isomerism and stereochemistry (biomolecules)
  • Saturated vs unsaturated fatty acids
  • Complementarity and base pairing
  • Enzyme basics (as proteins)

Enzymes and Enzymatic Reactions section_02

Syllabus
Enzyme kinetics, regulation and inhibition; Vitamins and Coenzymes; Bioenergetics and metabolism; Generation and utilization of ATP; Metabolic pathways and their regulation: glycolysis, TCA cycle, pentose phosphate pathway, oxidative phosphorylation, gluconeogenesis, glycogen and fatty acid metabolism; Metabolism of Nitrogen containing compounds: nitrogen fixation, amino acids and nucleotides. Photosynthesis, Calvin cycle.
Core concepts (11)
  • Enzyme kinetics
  • Enzyme regulation
  • Enzyme inhibition
  • Vitamins and coenzymes
  • Bioenergetics
  • ATP generation and utilization
  • Central carbon metabolism
  • Oxidative phosphorylation
  • Lipid (fatty acid) metabolism
  • Nitrogen metabolism
  • Photosynthesis and Calvin cycle
Related concepts (8)
  • Enzyme mechanisms and catalysis
  • Metabolic control analysis (basics)
  • Hormonal and signaling regulation
  • Transport and shuttles
  • Redox cofactor specificity
  • Compartmentation
  • Anaplerosis and cataplerosis
  • Reactive oxygen species and coupling efficiency

Biochemical Separation Techniques section_03

Syllabus
Biochemical separation techniques: Ion exchange, size exclusion and affinity chromatography, centrifugation; Characterization of biomolecules by electrophoresis; DNA- protein and protein – protein interactions; UV-visible and fluorescence spectroscopy; Mass spectrometry.
Core concepts (10)
  • Ion-exchange chromatography
  • Size-exclusion chromatography (SEC/gel filtration)
  • Affinity chromatography
  • Centrifugation
  • Electrophoresis (biomolecule characterization)
  • DNA–protein interactions
  • Protein–protein interactions
  • UV–visible spectroscopy (UV–Vis)
  • Fluorescence spectroscopy
  • Mass spectrometry (MS)
Related concepts (8)
  • Chromatography fundamentals
  • Buffer chemistry for separations
  • Sample preparation and cleanup
  • Calibration and quantitation
  • Interaction thermodynamics and kinetics
  • Data interpretation in electrophoresis
  • Spectroscopic artifacts and corrections
  • MS data concepts

Cell Structure and Process section_04

Syllabus
Cell structure and organelles; Biological membranes; Action potential; Transport across membranes; Membrane assembly and Protein targeting; Signal transduction; Receptor ligand interaction; Hormones and neurotransmitters.
Core concepts (8)
  • Cell structure and organelles
  • Biological membranes
  • Transport across membranes
  • Action potential and membrane excitability
  • Membrane assembly and protein targeting
  • Receptor–ligand interaction
  • Signal transduction
  • Hormones and neurotransmitters
Related concepts (5)
  • Bioenergetics of membranes
  • Thermodynamics and kinetics for binding/transport
  • Membrane biophysics
  • Electrical circuit analogs
  • Experimental approaches (exam-focused)

DNA and Activity section_05

Syllabus
DNA replication, transcription and translation; DNA damage and repair; Biochemical regulation of gene expression; Recombinant DNA technology and applications: PCR, site directed mutagenesis, DNA-microarray; Next generation sequencing; Gene silencing and editing.
Core concepts (10)
  • DNA replication
  • Transcription
  • Translation
  • DNA damage and repair
  • Regulation of gene expression
  • PCR
  • Site-directed mutagenesis
  • DNA microarray
  • Next generation sequencing (NGS)
  • Gene silencing and gene editing
Related concepts (9)
  • Replication fork mechanics
  • Fidelity and proofreading
  • RNA processing (eukaryotes)
  • Operons and transcription factors
  • Epigenetics
  • Recombinant DNA vectors
  • Enzymes of molecular biology
  • Quantification and controls
  • Experimental design & interpretation

Immune System section_06

Syllabus
Immune System: Innate and adaptive; Cell of the immune system; Active and passive immunity; Complement system; Antibody structure, function and diversity; B cell and T Cell receptors; B cell and T cell activation; Major histocompatibilty complex; Immunological techniques: Immuno diffusion, immune-electrophoresis, RIA and ELISA, flow cytometry; monoclonal antibodies and their applications.
Core concepts (10)
  • Innate vs adaptive immunity
  • Cells of the immune system
  • Complement system
  • Active and passive immunity
  • Antibody structure and function
  • Antibody diversity (generation)
  • B cell receptor (BCR) and T cell receptor (TCR)
  • B cell and T cell activation
  • Major histocompatibility complex (MHC)
  • Core immunological techniques
Related concepts (10)
  • Primary vs secondary lymphoid organs
  • Antigen-presenting cells (APCs)
  • Clonal selection and immunological memory
  • Isotypes (IgM, IgD, IgG, IgA, IgE)
  • Antigen–antibody binding forces
  • Precipitation and equivalence
  • Flow cytometry gating and immunophenotyping
  • ELISA formats
  • RIA competitive binding logic
  • Monoclonal antibodies (mAbs)

Syllabus

Fundamental Concepts section_1_1

Syllabus
Fundamental Concepts: Abiotic and biotic components; scales (population, species, community, ecosystems, biomes); niches and habitats.
Core concepts (5)
  • Abiotic components
  • Biotic components
  • Levels (scales) of ecological organization
  • Ecological niche
  • Habitat
Related concepts (8)
  • Species concept (ecological relevance)
  • Population attributes
  • Community interactions
  • Ecosystem processes
  • Biome classification
  • Niche partitioning and coexistence
  • Fundamental vs realized niche
  • Habitat selection and habitat suitability

Population Ecology section_1_2

Syllabus
Population Ecology: Population growth rates (density dependent/independent); meta population ecology (colonization, persistence, extinction, patches, sources, sinks); age-structured populations
Core concepts (8)
  • Population growth rate
  • Density-independent regulation
  • Density-dependent regulation
  • Metapopulation
  • Colonization and extinction dynamics
  • Patch structure
  • Source-sink dynamics
  • Age-structured populations
Related concepts (9)
  • Exponential growth model
  • Logistic growth and carrying capacity
  • Allee effects
  • Demographic vs environmental stochasticity
  • Dispersal and connectivity
  • Rescue effect
  • Life tables
  • Leslie matrix model
  • Reproductive value

Interactions section_1_3

Syllabus
Interactions: Types (mutualism, symbiosis, commensalism, competition, parasitism, predation, etc); ecophysiology (physiological adaptations to abiotic environment); prey-predator interactions (Lotka-Volterra equation, etc.)
Core concepts (10)
  • Species interactions (interaction types)
  • Mutualism
  • Symbiosis
  • Commensalism
  • Competition
  • Parasitism
  • Predation
  • Ecophysiology
  • Physiological adaptation to abiotic environment
  • Lotka-Volterra predator-prey model
Related concepts (10)
  • Interaction outcomes and context dependence
  • Functional response (Holling types)
  • Numerical response
  • Apparent competition
  • Keystone predation and trophic cascades
  • Competitive exclusion and coexistence
  • Character displacement
  • Thermal performance curves and Q10
  • Osmoregulation and water balance
  • Acclimation vs adaptation

Community Ecology section_1_4

Syllabus
Community Ecology: Community assembly, organization and succession; species richness, evenness and diversity indices, species-area relationships; theory of island biogeography
Core concepts (8)
  • Community assembly
  • Community organization
  • Ecological succession
  • Species richness
  • Evenness
  • Diversity indices
  • Species-area relationship (SAR)
  • Theory of island biogeography
Related concepts (10)
  • Environmental filtering
  • Dispersal limitation
  • Priority effects
  • Facilitation, tolerance, and inhibition models of succession
  • Intermediate disturbance hypothesis
  • Alpha, beta, gamma diversity
  • Rarefaction and sampling effort
  • Rank-abundance curves
  • Nestedness and turnover in island/fragment communities
  • Habitat fragmentation as 'islands'

Ecosystems Structure and Function section_1_5

Syllabus
Ecosystems Structure and Function: Trophic levels and their interactions; nutrient cycles; primary and secondary productivity
Core concepts (7)
  • Ecosystem structure
  • Trophic levels
  • Food chains and food webs
  • Trophic interactions
  • Nutrient cycles (biogeochemical cycles)
  • Primary productivity
  • Secondary productivity
Related concepts (9)
  • Energy flow vs nutrient cycling
  • Ecological efficiency and trophic transfer efficiency
  • Detrital pathway and decomposition
  • Stoichiometry and nutrient limitation
  • Mineralization and immobilization
  • Nitrogen transformations
  • Phosphorus cycle characteristics
  • Bottom-up vs top-down control
  • Standing crop and turnover

History of Evolutionary Thought section_2_1

Syllabus
History of Evolutionary Thought: Lamarckism; Darwinism; Modern Synthesis
Core concepts (4)
  • Lamarckism
  • Darwinism
  • Modern Synthesis (Neo-Darwinism)
  • Comparative analysis of evolutionary theories
Related concepts (9)
  • Mendelian genetics
  • Weismann barrier and germplasm theory
  • Population genetics basics
  • Variation and mutation
  • Adaptation and fitness
  • Selection types
  • Genetic drift and gene flow
  • Speciation overview
  • Evidence for evolution (historical context)

Fundamentals section_2_2

Syllabus
Fundamentals: Variation; heritability; natural selection; fitness and adaptation; types of selection (stabilizing, directional, disruptive)
Core concepts (6)
  • Variation
  • Heritability
  • Natural selection
  • Fitness
  • Adaptation
  • Types of selection
Related concepts (8)
  • Genotype–phenotype map
  • Phenotypic plasticity
  • Sources of genetic variation
  • Quantitative genetics
  • Hardy–Weinberg baseline
  • Trade-offs and constraints
  • Selection coefficients and selection gradients
  • Inclusive fitness (high-level)

Diversity of Life section_2_3

Syllabus
Fundamentals: Diversity of Life: Origin and history of life on earth; diversity and classification of life; systems of classification (cladistics and phenetics)
Core concepts (7)
  • Origin of life (abiogenesis) — overview
  • Early evolution and history of life on Earth
  • Diversity of life
  • Classification and taxonomy
  • Cladistics (phylogenetic systematics)
  • Phenetics (numerical taxonomy)
  • Comparing classification systems
Related concepts (10)
  • Geological time scale
  • Endosymbiotic theory
  • Great Oxidation Event and oxygenation
  • Fossil record and dating
  • Molecular phylogenetics (overview)
  • Homology vs analogy
  • Character states and polarity
  • Tree thinking
  • Species concepts (overview)
  • Horizontal gene transfer (HGT)

Life History Strategies section_2_4

Syllabus
Life History Strategies: Allocation of resources; tradeoffs; r/K selection; semelparity and iteroparity
Core concepts (7)
  • Life-history strategies (framework)
  • Resource allocation
  • Trade-offs
  • r/K selection (classic heuristic)
  • Semelparity
  • Iteroparity
  • Comparing parity modes
Related concepts (9)
  • Fitness components and reproductive value
  • Cost of reproduction
  • Age at first reproduction
  • Offspring size–number trade-off
  • Bet-hedging (overview)
  • Density dependence
  • Environmental stochasticity
  • Phenotypic plasticity in life histories
  • Survivorship curves

Interactions section_2_5

Syllabus
Interactions: Co-evolution (co-adaptations, arms race, Red Queen hypothesis, cospeciation); prey-predator interactions (mimicry, crypsis, etc)
Core concepts (8)
  • Coevolution
  • Co-adaptations
  • Evolutionary arms race
  • Red Queen hypothesis
  • Cospeciation
  • Predator–prey interactions (evolutionary outcomes)
  • Crypsis (camouflage)
  • Mimicry
Related concepts (9)
  • Host–parasite coevolution
  • Geographic mosaic theory of coevolution
  • Frequency-dependent selection
  • Aposematism
  • Behavioral ecology of predation
  • Sensory ecology
  • Phylogenetic congruence tests (overview)
  • Constraints and trade-offs in defenses
  • Community context

Population and Quantitative Genetics section_2_6

Syllabus
Population and Quantitative Genetics: Origins of genetic variation; Mendelian genetics; Hardy- Weinberg equilibrium; drift; selection (one-locus two-alleles model); population genetic structure (panmixia, gene flow, FST); polygenic traits; gene-environment interactions (phenotypic plasticity); heritability
Core concepts (13)
  • Origins of genetic variation
  • Mendelian genetics (population context)
  • Hardy–Weinberg equilibrium (HWE)
  • Genetic drift
  • Selection in a one-locus two-allele model
  • Panmixia
  • Gene flow (migration)
  • Population genetic structure
  • Fixation index \(F_{ST}\)
  • Polygenic (quantitative) traits
  • Gene–environment interaction (G×E)
  • Phenotypic plasticity
  • Heritability (quantitative genetics)
Related concepts (10)
  • Allele and genotype frequencies
  • Effective population size \(N_e\)
  • Inbreeding and assortative mating
  • Mutation–selection balance (overview)
  • Bottleneck and founder effects
  • Linkage disequilibrium (LD) (overview)
  • Additive, dominance, and epistatic variance
  • Breeder’s equation
  • Common garden and reciprocal transplant
  • Reaction norms

Molecular Evolution and Phylogenetics section_2_7

Syllabus
Molecular Evolution and Phylogenetics: Neutral theory; molecular clocks; rates of evolution; phylogenetic reconstruction; molecular systematics
Core concepts (6)
  • Neutral theory of molecular evolution
  • Nearly neutral theory (exam-relevant extension)
  • Molecular clocks
  • Rates of evolution
  • Phylogenetic reconstruction
  • Molecular systematics
Related concepts (14)
  • Genetic drift and fixation
  • Effective population size \(N_e\)
  • Synonymous vs nonsynonymous substitutions
  • Purifying selection and constraint
  • Positive selection (molecular signatures)
  • Multiple sequence alignment (MSA)
  • Models of sequence evolution
  • Distance methods
  • Parsimony, maximum likelihood, Bayesian inference
  • Support and uncertainty
  • Rooting and outgroups
  • Gene trees vs species trees
  • Orthology vs paralogy
  • Long-branch attraction (LBA)

Macroevolution section_2_8

Syllabus
Macroevolution: Species concepts and speciation; adaptive radiation; convergence; biogeography
Core concepts (7)
  • Macroevolution (scope and patterns)
  • Species concepts
  • Speciation
  • Reproductive isolation
  • Adaptive radiation
  • Convergent evolution
  • Biogeography
Related concepts (14)
  • Allopatric speciation
  • Peripatric speciation
  • Parapatric speciation
  • Sympatric speciation
  • Hybrid zones and reinforcement
  • Ecological speciation
  • Sexual selection in speciation
  • Dobzhansky–Muller incompatibilities (DMI)
  • Polyploid speciation
  • Key innovations
  • Character displacement
  • Homology vs convergence in phylogenies
  • Vicariance vs dispersal
  • Island biogeography link (overview)

Mathematics and Statistics in Ecology section_3_1

Syllabus
Mathematics and Statistics in Ecology: Simple functions (linear, quadratic, exponential, logarithmic, etc); concept of derivatives and slope of a function; permutations and combinations; basic probability (probability of random events; sequences of events, etc); frequency distributions and their descriptive statistics (mean, variance, coefficient of variation, correlation, etc).
Core concepts (5)
  • Simple functions used in ecology
  • Derivatives and slope
  • Permutations and combinations
  • Basic probability
  • Frequency distributions and descriptive statistics
Related concepts (5)
  • Transformations and linearization
  • Units, scaling, and dimensional reasoning
  • Sampling concepts
  • Graphical summaries
  • Covariance vs correlation

Statistical Hypothesis Testing section_3_2

Syllabus
Statistical Hypothesis Testing: Concept of p-value; Type I and Type II error, test statistics like t- test and Chi-square test; basics of linear regression and ANOVA.
Core concepts (7)
  • Statistical hypotheses and p-values
  • Type I and Type II errors
  • Test statistics and sampling distributions (working level)
  • t-tests
  • Chi-square tests
  • Linear regression (basics)
  • ANOVA (basics)
Related concepts (5)
  • Assumptions and diagnostics
  • Confidence intervals vs hypothesis tests
  • Effect size and practical significance
  • Multiple comparisons (awareness level)
  • Categorical vs continuous responses

Classical Ethology section_4_1

Syllabus
Behavioural Ecology (4.1): Classical Ethology—Instinct; fixed action patterns; imprinting; learnt behavior; proximate and ultimate questions.
Core concepts (5)
  • Instinct
  • Fixed action patterns (FAPs)
  • Imprinting
  • Learned behavior
  • Proximate vs ultimate questions
Related concepts (9)
  • Sign stimuli (releasers)
  • Innate releasing mechanism (IRM)
  • Sensitive/critical periods
  • Habituation and sensitization
  • Classical vs operant conditioning
  • Nature–nurture and reaction norms
  • Ethogram and behavioral measurement
  • Comparative method in ethology
  • Tinbergen’s four questions

Sensory Ecology section_4_2

Syllabus
Behavioural Ecology (4.2): Sensory Ecology—Neuroethology; communication (chemical, acoustic and visual signaling); recognition systems.
Core concepts (7)
  • Sensory ecology
  • Neuroethology
  • Animal communication
  • Chemical signaling
  • Acoustic signaling
  • Visual signaling
  • Recognition systems
Related concepts (10)
  • Signal vs cue
  • Sender–receiver coevolution
  • Honest signaling and signal reliability
  • Environmental transmission channels
  • Noise and masking
  • Receiver psychology
  • Multimodal signaling
  • Self/non-self and kin recognition
  • Species recognition and reproductive isolation
  • Sensory drive hypothesis

Foraging Ecology section_4_3

Syllabus
Behavioural Ecology (4.3): Foraging Ecology—Foraging behaviour; optimal foraging theory.
Core concepts (6)
  • Foraging behaviour
  • Optimal foraging theory (OFT)
  • Energy/time budgets
  • Prey choice (diet breadth) model
  • Patch use and patch leaving
  • Marginal Value Theorem (MVT)
Related concepts (9)
  • Fitness currencies
  • Constraints and trade-offs
  • Information and uncertainty
  • Risk-sensitive foraging
  • Central place foraging
  • Functional responses
  • Giving-up density (GUD)
  • Interference and exploitation competition
  • State-dependent foraging

Reproduction section_4_4

Syllabus
Behavioural Ecology (4.4): Reproduction—Cost of sex; sexual dimorphism; mate choice; sexual selection (runaway selection, good-genes, handicap principle, etc.); sexual conflict; mating systems; parental care.
Core concepts (10)
  • Cost of sex
  • Sexual dimorphism
  • Mate choice
  • Sexual selection
  • Runaway (Fisherian) selection
  • Good-genes sexual selection
  • Handicap principle
  • Sexual conflict
  • Mating systems
  • Parental care
Related concepts (10)
  • Anisogamy and Bateman’s principle
  • Operational sex ratio (OSR)
  • Parental investment theory (Trivers)
  • Sperm competition and cryptic female choice
  • Alternative reproductive tactics
  • Sex role reversal
  • Fecundity selection
  • Life-history trade-offs
  • Inclusive fitness and kin selection in care
  • Parent–offspring conflict

Social Living section_4_5

Syllabus
Behavioural Ecology (4.5): Social Living—Costs and benefits of group-living (including responses to predators); effect of competition (scramble and contest) on group formation; dominance relationships; eusociality; kin selection; altruism; reciprocity; human behaviour.
Core concepts (12)
  • Group living (social living)
  • Costs and benefits of group living
  • Anti-predator benefits of groups
  • Competition and group formation
  • Scramble competition
  • Contest competition
  • Dominance relationships
  • Kin selection
  • Altruism
  • Reciprocity
  • Eusociality
  • Human behaviour (behavioral ecology perspective)
Related concepts (13)
  • Hamilton’s rule
  • Inclusive fitness
  • Direct vs indirect fitness
  • Mutualism
  • Reciprocal altruism (Trivers)
  • By-product benefits
  • Cheater problem
  • Kin recognition and discrimination
  • Policing and punishment
  • Game theory in social behavior
  • Group selection and multilevel selection
  • Life-history and ecological constraints on eusociality
  • Gene–culture coevolution

Biodiversity and Conservation section_5_1

Syllabus
Biodiversity and Conservation: Importance of conserving biodiversity; ecosystem services; threats to biodiversity; invasive species; in-situ conservation (endemism, biodiversity hotspots, protected areas); ex-situ conservation; conservation genetics (genetic diversity, inbreeding depression); DNA fingerprinting and DNA barcoding.
Core concepts (8)
  • Biodiversity: levels and value
  • Ecosystem services
  • Threats to biodiversity
  • Invasive alien species
  • In-situ conservation
  • Ex-situ conservation
  • Conservation genetics
  • DNA fingerprinting and DNA barcoding
Related concepts (6)
  • Species concepts and taxonomy basics
  • Population viability analysis (PVA)
  • Metapopulations and fragmentation
  • IUCN categories and conservation prioritization
  • Conservation policy instruments
  • Molecular markers overview

Disease Ecology and Evolution section_5_2

Syllabus
Disease Ecology and Evolution: Epidemiology; zoonotic diseases; antibiotic resistance; vector Control Plant and animal breeding: Marker assisted breeding; genetic basis of economically important traits.
Core concepts (8)
  • Epidemiology fundamentals
  • Disease transmission models
  • Zoonotic diseases
  • Evolution of virulence and pathogen life-history
  • Antibiotic resistance evolution
  • Vector ecology and vector control
  • Genetic basis of economically important traits
  • Marker-assisted breeding
Related concepts (8)
  • Surveillance and study designs
  • Diagnostics and test performance
  • Phylogenetics and phylodynamics
  • One Health framework
  • Integrated vector management (IVM)
  • Quantitative genetics in breeding programs
  • Genomic selection (contrast to MAS)
  • Ethics and biosafety in breeding and control

Global Climate Change section_5_3

Syllabus
Global Climate Change: Causes; consequences; mitigation
Core concepts (10)
  • Earth’s climate system basics
  • Causes of modern climate change
  • Carbon cycle and major greenhouse gases
  • Climate variability vs climate change
  • Consequences for physical systems
  • Consequences for ecosystems and biodiversity
  • Consequences for society and health
  • Mitigation: emission reduction
  • Mitigation: carbon dioxide removal (CDR)
  • Adaptation and resilience (bridge to mitigation)
Related concepts (8)
  • IPCC framing and scenarios
  • Climate feedbacks and tipping elements
  • Ocean–atmosphere coupling
  • Ecophysiology under climate stress
  • Conservation under climate change
  • Policy instruments
  • Life cycle assessment (LCA)
  • Geoengineering overview

INORGANIC CHEMISTRY

ORGANIC CHEMISTRY

PHYSICAL CHEMISTRY

Syllabus

Chemistry of Main Group Elements unit_01

Syllabus
Main Group Elements - Hydrides, halides, oxides, oxoacids, nitrides, sulfides – shapes and reactivity
Core concepts (8)
  • Hydrides of Main Group Elements
  • Halides of Main Group Elements
  • Oxides of Main Group Elements
  • Oxoacids of Main Group Elements
  • Nitrides of Main Group Elements
  • Sulfides of Main Group Elements
  • VSEPR Theory and Molecular Geometry
  • Periodic Trends in Reactivity
Related concepts (5)
  • Oxidation States and Bonding Types
  • Thermal Stability Patterns
  • Acid-Base Properties
  • Redox Chemistry of Main Group Elements
  • Crystal Structure and Polymorphism

Chemistry of Main Group Elements unit_01_concept

Syllabus
Main Group Elements - Hydrides, halides, oxides, oxoacids, nitrides, sulfides – shapes and reactivity
Core concepts (8)
  • Hydrides of Main Group Elements
  • Halides of Main Group Elements
  • Oxides of Main Group Elements
  • Oxoacids of Main Group Elements
  • Nitrides of Main Group Elements
  • Sulfides of Main Group Elements
  • VSEPR Theory and Molecular Geometry
  • Periodic Trends in Reactivity
Related concepts (5)
  • Oxidation States and Bonding Types
  • Thermal Stability Patterns
  • Acid-Base Properties
  • Redox Chemistry of Main Group Elements
  • Crystal Structure and Polymorphism

Inroganic Rings and Clusters unit_02

Syllabus
Structure and bonding of boranes, carboranes, silicones, silicates, boron nitride, borazines and phosphazenes. Allotropes of carbon, phosphorous and sulphur. Industrial synthesis of compounds of main group elements.
Core concepts (11)
  • Boranes
  • Carboranes
  • Silicones
  • Silicates
  • Boron Nitride
  • Borazines
  • Phosphazenes
  • Carbon Allotropes
  • Phosphorus Allotropes
  • Sulfur Allotropes
  • Industrial Synthesis of Main Group Compounds
Related concepts (8)
  • Electron-Deficient Bonding
  • Cluster Chemistry
  • Cage Compounds
  • Polymeric Structures
  • Mineral Chemistry
  • Structure-Property Relationships
  • Spectroscopic Characterization
  • Phase Diagrams and Polymorphism

Inroganic Rings and Clusters unit_02_concept

Syllabus
Structure and bonding of boranes, carboranes, silicones, silicates, boron nitride, borazines and phosphazenes. Allotropes of carbon, phosphorous and sulphur. Industrial synthesis of compounds of main group elements.
Core concepts (11)
  • Boranes
  • Carboranes
  • Silicones
  • Silicates
  • Boron Nitride
  • Borazines
  • Phosphazenes
  • Carbon Allotropes
  • Phosphorus Allotropes
  • Sulfur Allotropes
  • Industrial Synthesis of Main Group Compounds
Related concepts (8)
  • Electron-Deficient Bonding
  • Cluster Chemistry
  • Cage Compounds
  • Polymeric Structures
  • Mineral Chemistry
  • Structure-Property Relationships
  • Spectroscopic Characterization
  • Phase Diagrams and Polymorphism

Chemistry of Noble Gases and Interhalogen Compounds unit_03

Syllabus
Chemistry of noble gases, pseudohalogens, and interhalogen compounds.
Core concepts (8)
  • Noble Gas Chemistry
  • Xenon Compounds
  • Radon Chemistry
  • Pseudohalogens
  • Interhalogen Compounds
  • Polyinterhalogen Ions
  • Noble Gas Fluorides
  • Noble Gas Oxides and Oxyfluorides
Related concepts (8)
  • Hypervalency and Expanded Octets
  • VSEPR Theory Extended
  • Oxidation States in Unusual Systems
  • Spectroscopic Characterization
  • Halogen Chemistry Fundamentals
  • Solid-State Structures
  • Thermodynamic Stability
  • Acidic and Basic Properties

Chemistry of Noble Gases and Interhalogen Compounds unit_03_concept

Syllabus
Chemistry of noble gases, pseudohalogens, and interhalogen compounds.
Core concepts (8)
  • Noble Gas Chemistry
  • Xenon Compounds
  • Radon Chemistry
  • Pseudohalogens
  • Interhalogen Compounds
  • Polyinterhalogen Ions
  • Noble Gas Fluorides
  • Noble Gas Oxides and Oxyfluorides
Related concepts (8)
  • Hypervalency and Expanded Octets
  • VSEPR Theory Extended
  • Oxidation States in Unusual Systems
  • Spectroscopic Characterization
  • Halogen Chemistry Fundamentals
  • Solid-State Structures
  • Thermodynamic Stability
  • Acidic and Basic Properties

Chemistry of Acids and Bases unit_04

Syllabus
Acid-base concepts and principles (Lewis, Brønsted, HSAB and acid-base catalysis).
Core concepts (8)
  • Brønsted-Lowry Acid-Base Theory
  • Lewis Acid-Base Theory
  • Hard-Soft Acid-Base (HSAB) Principle
  • Acid Strength and pKa
  • Base Strength and pKb
  • Amphoteric Species
  • Acid-Base Equilibria
  • Acid-Base Catalysis
Related concepts (8)
  • Solvent Effects on Acid-Base Behavior
  • Superacids and Superbases
  • Non-aqueous Acid-Base Systems
  • Redox vs. Acid-Base Reactions
  • Polarizability and Polarization
  • Resonance Stabilization of Conjugate Bases
  • Inductive Effects
  • Coordination Chemistry Perspective

Chemistry of Acids and Bases unit_04_concept

Syllabus
Acid-base concepts and principles (Lewis, Brønsted, HSAB and acid-base catalysis).
Core concepts (8)
  • Brønsted-Lowry Acid-Base Theory
  • Lewis Acid-Base Theory
  • Hard-Soft Acid-Base (HSAB) Principle
  • Acid Strength and pKa
  • Base Strength and pKb
  • Amphoteric Species
  • Acid-Base Equilibria
  • Acid-Base Catalysis
Related concepts (8)
  • Solvent Effects on Acid-Base Behavior
  • Superacids and Superbases
  • Non-aqueous Acid-Base Systems
  • Redox vs. Acid-Base Reactions
  • Polarizability and Polarization
  • Resonance Stabilization of Conjugate Bases
  • Inductive Effects
  • Coordination Chemistry Perspective

Transition Metals and Coordination Chemistry unit_05

Syllabus
Transition Elements: Coordination chemistry – structure and isomerism, theories of bonding (VBT, CFT, and MOT). Energy level diagrams in various crystal fields, CFSE, applications of CFT, Jahn-Teller distortion. Electronic spectra of transition metal complexes: spectroscopic term symbols, selection rules, Orgel and Tanabe-Sugano diagrams, nephelauxetic effect and Racah parameter, charge-transfer spectra. Magnetic properties of transition metal complexes. Ray- Dutt and Bailar twists, Reaction mechanisms: kinetic and thermodynamic stability, substitution and redox reactions. Metal-metal multiple bond.
Core concepts (26)
  • Coordination chemistry of transition metals
  • Structure of coordination complexes
  • Isomerism in coordination compounds
  • Valence Bond Theory (VBT) for complexes
  • Crystal Field Theory (CFT)
  • Molecular Orbital Theory (MOT) for metal complexes
  • Energy level diagrams in crystal fields
  • Crystal Field Stabilization Energy (CFSE)
  • Applications of Crystal Field Theory
  • Jahn–Teller distortion
  • Electronic spectra of transition metal complexes
  • Spectroscopic term symbols for dⁿ ions
  • Electronic selection rules
  • Orgel diagrams
  • Tanabe–Sugano diagrams
  • Nephelauxetic effect
  • Racah parameters
  • Charge-transfer spectra
  • Magnetic properties of transition metal complexes
  • Ray–Dutt twist
  • Bailar twist
  • Reaction mechanisms of coordination complexes
  • Kinetic versus thermodynamic stability
  • Substitution reactions in coordination chemistry
  • Redox reactions of transition metal complexes
  • Metal–metal multiple bonds
Related concepts (13)
  • Electronic configuration of transition metals
  • Oxidation state and coordination number
  • Nature of ligands and spectrochemical series
  • Hard and soft acids and bases (HSAB)
  • Ligand field vs crystal field theory
  • Group theory basics for complexes
  • Russell–Saunders coupling and free-ion terms
  • Types of magnetism
  • Magnetic susceptibility measurements
  • UV–Vis spectroscopy of coordination compounds
  • Kinetics of inorganic reactions
  • Stereochemical non-rigidity in octahedral complexes
  • Bioinorganic and catalytic relevance

Transition Metals and Coordination Chemistry unit_05_concept

Syllabus
Transition Elements: Coordination chemistry – structure and isomerism, theories of bonding (VBT, CFT, and MOT). Energy level diagrams in various crystal fields, CFSE, applications of CFT, Jahn-Teller distortion. Electronic spectra of transition metal complexes: spectroscopic term symbols, selection rules, Orgel and Tanabe-Sugano diagrams, nephelauxetic effect and Racah parameter, charge-transfer spectra. Magnetic properties of transition metal complexes. Ray- Dutt and Bailar twists, Reaction mechanisms: kinetic and thermodynamic stability, substitution and redox reactions. Metal-metal multiple bond.
Core concepts (26)
  • Coordination chemistry of transition metals
  • Structure of coordination complexes
  • Isomerism in coordination compounds
  • Valence Bond Theory (VBT) for complexes
  • Crystal Field Theory (CFT)
  • Molecular Orbital Theory (MOT) for metal complexes
  • Energy level diagrams in crystal fields
  • Crystal Field Stabilization Energy (CFSE)
  • Applications of Crystal Field Theory
  • Jahn–Teller distortion
  • Electronic spectra of transition metal complexes
  • Spectroscopic term symbols for dⁿ ions
  • Electronic selection rules
  • Orgel diagrams
  • Tanabe–Sugano diagrams
  • Nephelauxetic effect
  • Racah parameters
  • Charge-transfer spectra
  • Magnetic properties of transition metal complexes
  • Ray–Dutt twist
  • Bailar twist
  • Reaction mechanisms of coordination complexes
  • Kinetic versus thermodynamic stability
  • Substitution reactions in coordination chemistry
  • Redox reactions of transition metal complexes
  • Metal–metal multiple bonds
Related concepts (13)
  • Electronic configuration of transition metals
  • Oxidation state and coordination number
  • Nature of ligands and spectrochemical series
  • Hard and soft acids and bases (HSAB)
  • Ligand field vs crystal field theory
  • Group theory basics for complexes
  • Russell–Saunders coupling and free-ion terms
  • Types of magnetism
  • Magnetic susceptibility measurements
  • UV–Vis spectroscopy of coordination compounds
  • Kinetics of inorganic reactions
  • Stereochemical non-rigidity in octahedral complexes
  • Bioinorganic and catalytic relevance

Chemistry of Lanthanides and Actinides unit_06

Syllabus
Lanthanides and Actinides: Recovery. Periodic properties, spectra and magnetic properties.
Core concepts (16)
  • Lanthanide series chemistry
  • Actinide series chemistry
  • Recovery and extraction of lanthanides
  • Recovery and extraction of actinides
  • Periodic properties of lanthanides
  • Periodic properties of actinides
  • Oxidation states of lanthanides
  • Oxidation states of actinides
  • Electronic spectra of lanthanide complexes
  • Electronic spectra of actinide complexes
  • Magnetic properties of lanthanides
  • Magnetic properties of actinides
  • Lanthanide contraction and its consequences
  • Actinide contraction
  • Coordination chemistry of lanthanides
  • Coordination chemistry of actinides
Related concepts (12)
  • f-block elements and position in periodic table
  • Shielding and effective nuclear charge in f-block
  • Russell–Saunders coupling for f-electron systems
  • Spin–orbit coupling strength in heavy elements
  • Laporte selection rule and forbidden transitions
  • Orgel diagrams for lanthanide complexes
  • Nephelauxetic effect in lanthanide spectra
  • Ligand field theory for f electrons
  • Radioactivity and nuclear properties of actinides
  • Environmental and biological effects of lanthanides and actinides
  • Applications of lanthanides in materials and catalysis
  • Applications of actinides in energy and medicine

Chemistry of Lanthanides and Actinides unit_06_concept

Syllabus
Lanthanides and Actinides: Recovery. Periodic properties, spectra and magnetic properties.
Core concepts (16)
  • Lanthanide series chemistry
  • Actinide series chemistry
  • Recovery and extraction of lanthanides
  • Recovery and extraction of actinides
  • Periodic properties of lanthanides
  • Periodic properties of actinides
  • Oxidation states of lanthanides
  • Oxidation states of actinides
  • Electronic spectra of lanthanide complexes
  • Electronic spectra of actinide complexes
  • Magnetic properties of lanthanides
  • Magnetic properties of actinides
  • Lanthanide contraction and its consequences
  • Actinide contraction
  • Coordination chemistry of lanthanides
  • Coordination chemistry of actinides
Related concepts (12)
  • f-block elements and position in periodic table
  • Shielding and effective nuclear charge in f-block
  • Russell–Saunders coupling for f-electron systems
  • Spin–orbit coupling strength in heavy elements
  • Laporte selection rule and forbidden transitions
  • Orgel diagrams for lanthanide complexes
  • Nephelauxetic effect in lanthanide spectra
  • Ligand field theory for f electrons
  • Radioactivity and nuclear properties of actinides
  • Environmental and biological effects of lanthanides and actinides
  • Applications of lanthanides in materials and catalysis
  • Applications of actinides in energy and medicine

Chemistry of Organometallic Compounds unit_07

Syllabus
Organometallics - 18-Electron rule; metal-alkyl, metal-carbonyl, metal-olefin and metal-carbene complexes and metallocenes. Fluxionality in organometallic complexes. Types of organometallic reactions. Homogeneous catalysis - Hydrogenation, hydroformylation, acetic acid synthesis, metathesis and olefin oxidation. Heterogeneous catalysis - Fischer-Tropsch reaction, Ziegler-Natta polymerization.
Core concepts (10)
  • 18-Electron Rule
  • Metal-Alkyl Complexes
  • Metal-Carbonyl Complexes
  • Metal-Olefin Complexes
  • Metal-Carbene Complexes
  • Metallocenes
  • Fluxionality in Organometallic Complexes
  • Types of Organometallic Reactions
  • Homogeneous Catalysis
  • Heterogeneous Catalysis
Related concepts (10)
  • Hapticity and Coordination Modes
  • Backbonding and Ligand Field Theory
  • Oxidation States in Organometallics
  • Wilkinson Catalyst
  • Hydroformylation Mechanism
  • Acetic Acid Synthesis
  • Metathesis Reactions
  • Olefin Oxidation Catalysis
  • Fischer-Tropsch Process
  • Ziegler-Natta Catalysis

Chemistry of Organometallic Compounds unit_07_concept

Syllabus
Organometallics - 18-Electron rule; metal-alkyl, metal-carbonyl, metal-olefin and metal-carbene complexes and metallocenes. Fluxionality in organometallic complexes. Types of organometallic reactions. Homogeneous catalysis - Hydrogenation, hydroformylation, acetic acid synthesis, metathesis and olefin oxidation. Heterogeneous catalysis - Fischer-Tropsch reaction, Ziegler-Natta polymerization.
Core concepts (10)
  • 18-Electron Rule
  • Metal-Alkyl Complexes
  • Metal-Carbonyl Complexes
  • Metal-Olefin Complexes
  • Metal-Carbene Complexes
  • Metallocenes
  • Fluxionality in Organometallic Complexes
  • Types of Organometallic Reactions
  • Homogeneous Catalysis
  • Heterogeneous Catalysis
Related concepts (10)
  • Hapticity and Coordination Modes
  • Backbonding and Ligand Field Theory
  • Oxidation States in Organometallics
  • Wilkinson Catalyst
  • Hydroformylation Mechanism
  • Acetic Acid Synthesis
  • Metathesis Reactions
  • Olefin Oxidation Catalysis
  • Fischer-Tropsch Process
  • Ziegler-Natta Catalysis

Nuclear Chemistry unit_08

Syllabus
Radioactivity: Detection of radioactivity, Decay processes, half-life of radioactive elements, fission and fusion processes.
Core concepts (6)
  • Radioactivity
  • Detection of Radioactivity
  • Decay Processes
  • Half-life
  • Nuclear Fission
  • Nuclear Fusion
Related concepts (5)
  • Binding Energy
  • Mass Defect
  • Nuclear Stability
  • Q-value
  • Radiation Safety

Nuclear Chemistry unit_08_concept

Syllabus
Radioactivity: Detection of radioactivity, Decay processes, half-life of radioactive elements, fission and fusion processes.
Core concepts (6)
  • Radioactivity
  • Detection of Radioactivity
  • Decay Processes
  • Half-life
  • Nuclear Fission
  • Nuclear Fusion
Related concepts (5)
  • Binding Energy
  • Mass Defect
  • Nuclear Stability
  • Q-value
  • Radiation Safety

Bioinorganic Chemistry unit_09

Syllabus
Bioinorganic Chemistry - Ion (Na+ and K+) transport, oxygen binding, transport and utilization, electron transfer reactions, nitrogen fixation, metalloenzymes containing magnesium, molybdenum, iron, cobalt, copper and zinc.
Core concepts (5)
  • Ion Transport Mechanisms
  • Oxygen Binding and Transport
  • Electron Transfer Reactions
  • Nitrogen Fixation
  • Metalloenzymes Structure and Function
Related concepts (5)
  • Ligand Field Theory in Biological Systems
  • Heme Chemistry
  • Photosynthesis and Electron Transfer
  • Enzyme Kinetics and Cofactor Dependence
  • Metal Homeostasis

Bioinorganic Chemistry unit_09_concept

Syllabus
Bioinorganic Chemistry - Ion (Na+ and K+) transport, oxygen binding, transport and utilization, electron transfer reactions, nitrogen fixation, metalloenzymes containing magnesium, molybdenum, iron, cobalt, copper and zinc.
Core concepts (5)
  • Ion Transport Mechanisms
  • Oxygen Binding and Transport
  • Electron Transfer Reactions
  • Nitrogen Fixation
  • Metalloenzymes Structure and Function
Related concepts (5)
  • Ligand Field Theory in Biological Systems
  • Heme Chemistry
  • Photosynthesis and Electron Transfer
  • Enzyme Kinetics and Cofactor Dependence
  • Metal Homeostasis

Inorganic Solids and Crystals unit_10

Syllabus
Solids- Crystal systems and lattices, Miller planes, crystal packing, crystal defects, Bragg’s law, ionic crystals, structures of AX, AX2, ABX3 type compounds, spinels, band theory, metals and semiconductors.
Core concepts (8)
  • Crystal Systems and Bravais Lattices
  • Miller Indices and Crystallographic Planes
  • Crystal Packing and Efficiency
  • Crystal Defects and Non-stoichiometry
  • Bragg's Law and X-ray Diffraction
  • Ionic Crystal Structures
  • Complex Oxide Structures
  • Band Theory of Solids
Related concepts (8)
  • Symmetry Elements and Space Groups
  • Interplanar Spacing Calculations
  • Tetrahedral and Octahedral Voids
  • Kroger-Vink Notation
  • Structure Factor and Intensity
  • Radius Ratio Rules
  • Superexchange Interactions
  • Doping and Carrier Concentration

Inorganic Solids and Crystals unit_10_concept

Syllabus
Solids- Crystal systems and lattices, Miller planes, crystal packing, crystal defects, Bragg’s law, ionic crystals, structures of AX, AX2, ABX3 type compounds, spinels, band theory, metals and semiconductors.
Core concepts (8)
  • Crystal Systems and Bravais Lattices
  • Miller Indices and Crystallographic Planes
  • Crystal Packing and Efficiency
  • Crystal Defects and Non-stoichiometry
  • Bragg's Law and X-ray Diffraction
  • Ionic Crystal Structures
  • Complex Oxide Structures
  • Band Theory of Solids
Related concepts (8)
  • Symmetry Elements and Space Groups
  • Interplanar Spacing Calculations
  • Tetrahedral and Octahedral Voids
  • Kroger-Vink Notation
  • Structure Factor and Intensity
  • Radius Ratio Rules
  • Superexchange Interactions
  • Doping and Carrier Concentration

Instrumental Methods of Analysis unit_11

Syllabus
Instrumental Methods of Analysis - UV-visible, fluorescence and FTIR spectrophotometry, NMR and ESR spectroscopy, mass spectrometry, atomic absorption spectroscopy, Mössbauer spectroscopy (Fe and Sn) and X-ray crystallography. Chromatography including GC and HPLC. Electroanalytical methods- polarography, cyclic voltammetry, ion-selective electrodes. Thermoanalytical methods.
Core concepts (5)
  • Spectroscopic Techniques
  • Chromatographic Separation Methods
  • Electroanalytical Methods
  • Thermal Analysis Methods
  • Structural Determination Methods
Related concepts (5)
  • Quantitative Analysis
  • Qualitative Analysis
  • Sample Preparation
  • Beer-Lambert Law
  • Signal-to-Noise Ratio

Instrumental Methods of Analysis unit_11_concept

Syllabus
Instrumental Methods of Analysis - UV-visible, fluorescence and FTIR spectrophotometry, NMR and ESR spectroscopy, mass spectrometry, atomic absorption spectroscopy, Mössbauer spectroscopy (Fe and Sn) and X-ray crystallography. Chromatography including GC and HPLC. Electroanalytical methods- polarography, cyclic voltammetry, ion-selective electrodes. Thermoanalytical methods.
Core concepts (5)
  • Spectroscopic Techniques
  • Chromatographic Separation Methods
  • Electroanalytical Methods
  • Thermal Analysis Methods
  • Structural Determination Methods
Related concepts (5)
  • Quantitative Analysis
  • Qualitative Analysis
  • Sample Preparation
  • Beer-Lambert Law
  • Signal-to-Noise Ratio

Syllabus

Stereochemistry unit_01

Syllabus
Stereochemistry - Chirality, symmetry, absolute configurations, relative stereochemistry, homotopic/enantiotopic/diastereotopic atoms, stereoselective/stereospecific synthesis, conformational analysis, geometrical/optical isomerism, configurational/conformational effects, atropisomerism, neighbouring group participation
Core concepts (8)
  • Chirality and Stereogenic Centres
  • Absolute Configuration Determination
  • Relative Stereochemistry
  • Conformational Analysis
  • Geometrical Isomerism
  • Stereoselective and Stereospecific Synthesis
  • Configurational and Conformational Effects on Reactivity
  • Neighbouring Group Participation
Related concepts (5)
  • Homotopic, Enantiotopic, and Diastereotopic Relationships
  • Optical Isomerism
  • Atropisomerism
  • Symmetry Operations and Point Groups
  • 3D Molecular Visualization

Stereochemistry unit_01_concept

Syllabus
Stereochemistry - Chirality, symmetry, absolute configurations, relative stereochemistry, homotopic/enantiotopic/diastereotopic atoms, stereoselective/stereospecific synthesis, conformational analysis, geometrical/optical isomerism, configurational/conformational effects, atropisomerism, neighbouring group participation
Core concepts (8)
  • Chirality and Stereogenic Centres
  • Absolute Configuration Determination
  • Relative Stereochemistry
  • Conformational Analysis
  • Geometrical Isomerism
  • Stereoselective and Stereospecific Synthesis
  • Configurational and Conformational Effects on Reactivity
  • Neighbouring Group Participation
Related concepts (5)
  • Homotopic, Enantiotopic, and Diastereotopic Relationships
  • Optical Isomerism
  • Atropisomerism
  • Symmetry Operations and Point Groups
  • 3D Molecular Visualization

Organic Reaction Mechanisms unit_02

Syllabus
Reaction Mechanisms - Basic mechanistic concepts – kinetic versus thermodynamic control, Hammond’s postulate and Curtin-Hammett principle. Methods of determining reaction mechanisms through kinetics, identification of products, intermediates and isotopic labelling. Linear free-energy relationship – Hammett and Taft equations. Nucleophilic and electrophilic substitution reactions (both aromatic and aliphatic). Addition reactions to carbon-carbon and carbon-heteroatom (N and O) multiple bonds. Elimination reactions.
Core concepts (14)
  • Kinetic versus Thermodynamic Control
  • Hammond's Postulate
  • Curtin-Hammett Principle
  • Reaction Kinetics Analysis
  • Isotopic Labeling
  • Hammett Equation
  • Taft Equation
  • Aliphatic Nucleophilic Substitution
  • Aromatic Electrophilic Substitution
  • Aromatic Nucleophilic Substitution
  • Electrophilic Addition to C=C Bonds
  • Nucleophilic Addition to C=O Bonds
  • Conjugate Addition Reactions
  • Elimination Reactions
Related concepts (10)
  • Transition State Theory
  • Reaction Coordinate Diagrams
  • Rate Laws and Reaction Order
  • Stereochemical Analysis
  • Substituent Effects
  • Solvent Effects
  • Carbocation Stability
  • Carbanion Intermediates
  • Radical Mechanisms
  • Protecting Group Strategies

Organic Reaction Mechanisms unit_02_concept

Syllabus
Reaction Mechanisms - Basic mechanistic concepts – kinetic versus thermodynamic control, Hammond’s postulate and Curtin-Hammett principle. Methods of determining reaction mechanisms through kinetics, identification of products, intermediates and isotopic labelling. Linear free-energy relationship – Hammett and Taft equations. Nucleophilic and electrophilic substitution reactions (both aromatic and aliphatic). Addition reactions to carbon-carbon and carbon-heteroatom (N and O) multiple bonds. Elimination reactions.
Core concepts (14)
  • Kinetic versus Thermodynamic Control
  • Hammond's Postulate
  • Curtin-Hammett Principle
  • Reaction Kinetics Analysis
  • Isotopic Labeling
  • Hammett Equation
  • Taft Equation
  • Aliphatic Nucleophilic Substitution
  • Aromatic Electrophilic Substitution
  • Aromatic Nucleophilic Substitution
  • Electrophilic Addition to C=C Bonds
  • Nucleophilic Addition to C=O Bonds
  • Conjugate Addition Reactions
  • Elimination Reactions
Related concepts (10)
  • Transition State Theory
  • Reaction Coordinate Diagrams
  • Rate Laws and Reaction Order
  • Stereochemical Analysis
  • Substituent Effects
  • Solvent Effects
  • Carbocation Stability
  • Carbanion Intermediates
  • Radical Mechanisms
  • Protecting Group Strategies

Reactive Intermediates unit_03

Syllabus
Reactive intermediates - carbocations, carbanions, carbenes, nitrenes, arynes and free radicals. Molecular rearrangements.
Core concepts (7)
  • Carbocations
  • Carbanions
  • Carbenes
  • Nitrenes
  • Free Radicals
  • Arynes
  • Molecular Rearrangements
Related concepts (8)
  • Hyperconjugation
  • Inductive Effects
  • Resonance Stabilization
  • Singlet vs Triplet States
  • Radical Initiation Methods
  • Wagner-Meerwein Rearrangements
  • Pericyclic Rearrangements
  • Anchimeric Assistance

Reactive Intermediates unit_03_concept

Syllabus
Reactive intermediates - carbocations, carbanions, carbenes, nitrenes, arynes and free radicals. Molecular rearrangements.
Core concepts (7)
  • Carbocations
  • Carbanions
  • Carbenes
  • Nitrenes
  • Free Radicals
  • Arynes
  • Molecular Rearrangements
Related concepts (8)
  • Hyperconjugation
  • Inductive Effects
  • Resonance Stabilization
  • Singlet vs Triplet States
  • Radical Initiation Methods
  • Wagner-Meerwein Rearrangements
  • Pericyclic Rearrangements
  • Anchimeric Assistance

Organic Synthesis unit_04

Syllabus
Organic Synthesis- Synthesis, reactions, mechanisms and selectivity involving the following classes of compounds – alkenes, alkynes, arenes, alcohols, phenols, aldehydes, ketones, carboxylic acids, esters, nitriles, halides, nitro compounds, amines and amides. Uses of Mg, Li, Cu, B, Zn, P, S, Sn and Si based reagents in organic synthesis.
Core concepts (10)
  • Alkene Chemistry
  • Alkyne Chemistry
  • Aromatic Compound Reactivity
  • Alcohols and Phenols
  • Carbonyl Chemistry
  • Carboxylic Acid Derivatives
  • Halides and Nitro Compounds
  • Amines and Amides
  • Organometallic Reagents in Synthesis
  • Selective Synthesis Planning
Related concepts (4)
  • Reaction Mechanisms
  • Stereochemistry
  • Functional Group Interconversions
  • Green Chemistry Principles

Organic Synthesis unit_04_concept

Syllabus
Organic Synthesis- Synthesis, reactions, mechanisms and selectivity involving the following classes of compounds – alkenes, alkynes, arenes, alcohols, phenols, aldehydes, ketones, carboxylic acids, esters, nitriles, halides, nitro compounds, amines and amides. Uses of Mg, Li, Cu, B, Zn, P, S, Sn and Si based reagents in organic synthesis.
Core concepts (10)
  • Alkene Chemistry
  • Alkyne Chemistry
  • Aromatic Compound Reactivity
  • Alcohols and Phenols
  • Carbonyl Chemistry
  • Carboxylic Acid Derivatives
  • Halides and Nitro Compounds
  • Amines and Amides
  • Organometallic Reagents in Synthesis
  • Selective Synthesis Planning
Related concepts (4)
  • Reaction Mechanisms
  • Stereochemistry
  • Functional Group Interconversions
  • Green Chemistry Principles

Organometallic Catalyzed Reactions unit_05

Syllabus
Carbon-carbon bond formation through coupling reactions - Heck, Suzuki, Stille, Sonogoshira, Negishi, Kumada, Hiyama, Tsuji-Trost, olefin metathesis and McMurry.
Core concepts (11)
  • Palladium-Catalyzed Cross-Coupling Fundamentals
  • Heck Reaction
  • Suzuki-Miyaura Cross-Coupling
  • Stille Cross-Coupling
  • Sonogashira Coupling
  • Negishi Cross-Coupling
  • Kumada Cross-Coupling
  • Hiyama Cross-Coupling
  • Tsuji-Trost Allylic Substitution
  • Olefin Metathesis
  • McMurry Reaction
Related concepts (5)
  • Catalyst Design and Optimization
  • Mechanistic Pathways and Selectivity
  • Functional Group Tolerance
  • Green Chemistry in Cross-Coupling
  • Synthetic Applications and Route Design

Organometallic Catalyzed Reactions unit_05_concept

Syllabus
Carbon-carbon bond formation through coupling reactions - Heck, Suzuki, Stille, Sonogoshira, Negishi, Kumada, Hiyama, Tsuji-Trost, olefin metathesis and McMurry.
Core concepts (11)
  • Palladium-Catalyzed Cross-Coupling Fundamentals
  • Heck Reaction
  • Suzuki-Miyaura Cross-Coupling
  • Stille Cross-Coupling
  • Sonogashira Coupling
  • Negishi Cross-Coupling
  • Kumada Cross-Coupling
  • Hiyama Cross-Coupling
  • Tsuji-Trost Allylic Substitution
  • Olefin Metathesis
  • McMurry Reaction
Related concepts (5)
  • Catalyst Design and Optimization
  • Mechanistic Pathways and Selectivity
  • Functional Group Tolerance
  • Green Chemistry in Cross-Coupling
  • Synthetic Applications and Route Design

Synthetic Methods unit_06

Syllabus
Concepts of multistep synthesis - retrosynthetic analysis, strategic disconnections, synthons and synthetic equivalents. Atom economy and Green Chemistry, Umpolung reactivity – formyl and acyl anion equivalents.
Core concepts (10)
  • Retrosynthetic Analysis Fundamentals
  • Strategic Disconnections
  • Synthons and Synthetic Equivalents
  • Carbon-Carbon Bond Disconnections
  • Functional Group Strategy
  • Umpolung Reactivity
  • Formyl and Acyl Anion Equivalents
  • Atom Economy and Green Chemistry
  • Route Evaluation and Optimization
  • Multi-Step Synthesis Integration
Related concepts (5)
  • Selectivity Control Strategies
  • Named Reactions and Their Synthetic Roles
  • Heterocyclic Synthesis Strategies
  • Catalyst and Reagent Selection
  • Scale-Up and Process Chemistry

Synthetic Methods unit_06_concept

Syllabus
Concepts of multistep synthesis - retrosynthetic analysis, strategic disconnections, synthons and synthetic equivalents. Atom economy and Green Chemistry, Umpolung reactivity – formyl and acyl anion equivalents.
Core concepts (10)
  • Retrosynthetic Analysis Fundamentals
  • Strategic Disconnections
  • Synthons and Synthetic Equivalents
  • Carbon-Carbon Bond Disconnections
  • Functional Group Strategy
  • Umpolung Reactivity
  • Formyl and Acyl Anion Equivalents
  • Atom Economy and Green Chemistry
  • Route Evaluation and Optimization
  • Multi-Step Synthesis Integration
Related concepts (5)
  • Selectivity Control Strategies
  • Named Reactions and Their Synthetic Roles
  • Heterocyclic Synthesis Strategies
  • Catalyst and Reagent Selection
  • Scale-Up and Process Chemistry

Selectivity in Organic Synthesis unit_07

Syllabus
Selectivity in organic synthesis – chemo-, regio- and stereoselectivity. Protection and deprotection of functional groups. Concepts of asymmetric synthesis – resolution (including enzymatic), desymmetrization and use of chiral auxiliaries, organocatalysis.
Core concepts (12)
  • Chemoselectivity
  • Regioselectivity
  • Stereoselectivity
  • Diastereoselectivity
  • Enantioselectivity
  • Protection of Functional Groups
  • Deprotection Strategies
  • Resolution of Enantiomers
  • Desymmetrization
  • Chiral Auxiliaries
  • Organocatalysis
  • Enzymatic Asymmetric Synthesis
Related concepts (6)
  • Asymmetric Hydrogenation and Reduction
  • Chiral Ligands and Catalysts
  • Cram's Rule and Chelation Control
  • Double Stereodifferentiation
  • Prochirality Concepts
  • Biocatalysis and Biosynthesis

Selectivity in Organic Synthesis unit_07_concept

Syllabus
Selectivity in organic synthesis – chemo-, regio- and stereoselectivity. Protection and deprotection of functional groups. Concepts of asymmetric synthesis – resolution (including enzymatic), desymmetrization and use of chiral auxiliaries, organocatalysis.
Core concepts (12)
  • Chemoselectivity
  • Regioselectivity
  • Stereoselectivity
  • Diastereoselectivity
  • Enantioselectivity
  • Protection of Functional Groups
  • Deprotection Strategies
  • Resolution of Enantiomers
  • Desymmetrization
  • Chiral Auxiliaries
  • Organocatalysis
  • Enzymatic Asymmetric Synthesis
Related concepts (6)
  • Asymmetric Hydrogenation and Reduction
  • Chiral Ligands and Catalysts
  • Cram's Rule and Chelation Control
  • Double Stereodifferentiation
  • Prochirality Concepts
  • Biocatalysis and Biosynthesis

C-C and C-Heteroatom Formation unit_08

Syllabus
Carbon-carbon and carbon-heteroatom bond forming reactions through enolates (including boron enolates), enamines and silyl enol ethers. Stereoselective addition to C=O groups (Cram, Prelog and Felkin-Anh models).
Core concepts (12)
  • Enolate Formation and Reactivity
  • Enolate Regioselectivity
  • Enolate Nucleophilicity
  • Boron Enolates
  • Aldol Reaction Through Enolates
  • Enamines as Nucleophiles
  • Enamine vs. Iminium Activation
  • Silyl Enol Ethers
  • Silyl Enol Ether Reactions
  • Cram's Rule for Carbonyl Addition
  • Prelog's Rule
  • Felkin-Anh Model
Related concepts (6)
  • Enolate Chelation Control
  • Evans Asymmetric Aldol
  • Zimmerman-Traxler Transition State Model
  • Umpolung via Enamines and Silyl Enol Ethers
  • Mukaiyama Aldol Reaction
  • Cascade and Tandem Reactions with Enolates

C-C and C-Heteroatom Formation unit_08_concept

Syllabus
Carbon-carbon and carbon-heteroatom bond forming reactions through enolates (including boron enolates), enamines and silyl enol ethers. Stereoselective addition to C=O groups (Cram, Prelog and Felkin-Anh models).
Core concepts (12)
  • Enolate Formation and Reactivity
  • Enolate Regioselectivity
  • Enolate Nucleophilicity
  • Boron Enolates
  • Aldol Reaction Through Enolates
  • Enamines as Nucleophiles
  • Enamine vs. Iminium Activation
  • Silyl Enol Ethers
  • Silyl Enol Ether Reactions
  • Cram's Rule for Carbonyl Addition
  • Prelog's Rule
  • Felkin-Anh Model
Related concepts (6)
  • Enolate Chelation Control
  • Evans Asymmetric Aldol
  • Zimmerman-Traxler Transition State Model
  • Umpolung via Enamines and Silyl Enol Ethers
  • Mukaiyama Aldol Reaction
  • Cascade and Tandem Reactions with Enolates

Pericylic and Photochemical Reactions unit_09

Syllabus
Pericyclic Reactions and Photochemistry - Electrocyclic, cycloaddition and sigmatropic reactions. Orbital correlations - FMO and PMO treatments, Woodward-Hoffmann rule. Photochemistry of alkenes, arenes and carbonyl compounds. Photooxidation and photoreduction. Di-π-methane rearrangement, Barton-McCombie reaction, Norrish type-I and II cleavage reaction.
Core concepts (10)
  • Pericyclic Reactions
  • Electrocyclic Reactions
  • Cycloaddition Reactions
  • Sigmatropic Rearrangements
  • Frontier Molecular Orbital (FMO) Theory
  • Perturbational Molecular Orbital (PMO) Theory
  • Woodward-Hoffmann Rules
  • Photochemistry Fundamentals
  • Photooxidation and Photoreduction
  • Named Photochemical Reactions
Related concepts (6)
  • Orbital Symmetry Principles
  • Reaction Mechanisms
  • Stereochemistry
  • Aromatic Transition States
  • Excited-State Chemistry
  • Synthetic Applications

Pericylic and Photochemical Reactions unit_09_concept

Syllabus
Pericyclic Reactions and Photochemistry - Electrocyclic, cycloaddition and sigmatropic reactions. Orbital correlations - FMO and PMO treatments, Woodward-Hoffmann rule. Photochemistry of alkenes, arenes and carbonyl compounds. Photooxidation and photoreduction. Di-π-methane rearrangement, Barton-McCombie reaction, Norrish type-I and II cleavage reaction.
Core concepts (10)
  • Pericyclic Reactions
  • Electrocyclic Reactions
  • Cycloaddition Reactions
  • Sigmatropic Rearrangements
  • Frontier Molecular Orbital (FMO) Theory
  • Perturbational Molecular Orbital (PMO) Theory
  • Woodward-Hoffmann Rules
  • Photochemistry Fundamentals
  • Photooxidation and Photoreduction
  • Named Photochemical Reactions
Related concepts (6)
  • Orbital Symmetry Principles
  • Reaction Mechanisms
  • Stereochemistry
  • Aromatic Transition States
  • Excited-State Chemistry
  • Synthetic Applications

Chemistry of Heterocyclic Compounds unit_10

Syllabus
Heterocyclic Compounds - Structure, preparation, properties and reactions of furan, pyrrole, thiophene, pyridine, indole, quinoline and isoquinoline
Core concepts (6)
  • Aromaticity in Heterocycles
  • Structure and Nomenclature
  • Electrophilic Aromatic Substitution
  • Nucleophilic Aromatic Substitution
  • Preparation Methods
  • Redox and Addition Reactions
Related concepts (4)
  • Tautomerism
  • Basicity and Nucleophilicity
  • Metal Coordination
  • Biological Significance

Chemistry of Heterocyclic Compounds unit_10_concept

Syllabus
Heterocyclic Compounds - Structure, preparation, properties and reactions of furan, pyrrole, thiophene, pyridine, indole, quinoline and isoquinoline
Core concepts (6)
  • Aromaticity in Heterocycles
  • Structure and Nomenclature
  • Electrophilic Aromatic Substitution
  • Nucleophilic Aromatic Substitution
  • Preparation Methods
  • Redox and Addition Reactions
Related concepts (4)
  • Tautomerism
  • Basicity and Nucleophilicity
  • Metal Coordination
  • Biological Significance

Chemistry of Biomolecules unit_11

Syllabus
Biomolecules - Structure, properties and reactions of mono- and di-saccharides, 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, and alkaloids.
Core concepts (9)
  • Monosaccharides
  • Disaccharides
  • Amino Acids
  • Peptide Chemistry
  • Protein Structure
  • Nucleic Acids
  • Lipids
  • Steroids and Terpenoids
  • Carotenoids and Alkaloids
Related concepts (5)
  • Carbohydrate Reactions
  • Protein Denaturation
  • Chromatographic Separation
  • Spectroscopic Analysis
  • Bioenergetics Basics

Chemistry of Biomolecules unit_11_concept

Syllabus
Biomolecules - Structure, properties and reactions of mono- and di-saccharides, 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, and alkaloids.
Core concepts (9)
  • Monosaccharides
  • Disaccharides
  • Amino Acids
  • Peptide Chemistry
  • Protein Structure
  • Nucleic Acids
  • Lipids
  • Steroids and Terpenoids
  • Carotenoids and Alkaloids
Related concepts (5)
  • Carbohydrate Reactions
  • Protein Denaturation
  • Chromatographic Separation
  • Spectroscopic Analysis
  • Bioenergetics Basics

Experimental Methods unit_12

Syllabus
Experimental Techniques in Organic Chemistry- Optical rotation (polarimetry). Applications of various chromatographic techniques such as thin-layer, column, HPLC and GC. Applications of UV-visible, IR, NMR and Mass spectrometry in the structural determination of organic molecules.
Core concepts (9)
  • Optical rotation (polarimetry)
  • Thin-layer chromatography (TLC)
  • Column chromatography
  • High-performance liquid chromatography (HPLC)
  • Gas chromatography (GC)
  • UV-visible spectroscopy
  • Infrared spectroscopy
  • Nuclear magnetic resonance spectroscopy
  • Mass spectrometry
Related concepts (8)
  • Chirality and stereochemistry
  • Chromatographic principles
  • Detection systems
  • Beer-Lambert law
  • Vibrational modes
  • Chemical shift and coupling
  • Ionization techniques
  • Structural elucidation strategies

Experimental Methods unit_12_concept

Syllabus
Experimental Techniques in Organic Chemistry- Optical rotation (polarimetry). Applications of various chromatographic techniques such as thin-layer, column, HPLC and GC. Applications of UV-visible, IR, NMR and Mass spectrometry in the structural determination of organic molecules.
Core concepts (9)
  • Optical rotation (polarimetry)
  • Thin-layer chromatography (TLC)
  • Column chromatography
  • High-performance liquid chromatography (HPLC)
  • Gas chromatography (GC)
  • UV-visible spectroscopy
  • Infrared spectroscopy
  • Nuclear magnetic resonance spectroscopy
  • Mass spectrometry
Related concepts (8)
  • Chirality and stereochemistry
  • Chromatographic principles
  • Detection systems
  • Beer-Lambert law
  • Vibrational modes
  • Chemical shift and coupling
  • Ionization techniques
  • Structural elucidation strategies

Syllabus

Basic Quantum Mechanics unit_01

Syllabus
Structure: Postulates of quantum mechanics. Operators. Time dependent and time independent Schrödinger equations. Born interpretation. Dirac bra-ket notation. Particle in a box: infinite and finite square wells; concept of tunnelling; particle in 1D, 2D and 3D-box; applications. Harmonic oscillator: harmonic and anharmonic potentials; Hermite polynomials. Rotational motion: Angular momentum operators, Rigid rotor. Hydrogen and hydrogen-like atoms: atomic orbitals; radial distribution function.
Core concepts (12)
  • Postulates of Quantum Mechanics
  • Schrödinger Equation
  • Operators and Observable Algebra
  • Wave Function Interpretation
  • Bra-Ket Notation
  • Particle in a Box
  • Tunnelling Phenomenon
  • Quantum Harmonic Oscillator
  • Angular Momentum Operators
  • Rigid Rotor Model
  • Hydrogen Atom Structure
  • Radial Distribution Function
Related concepts (8)
  • Normalisation and Orthogonality
  • Expectation Values
  • Quantum Numbers
  • Nodal Structure
  • Boundary Conditions
  • Hermitian Operators
  • Commutators and Uncertainty
  • Variational Principle

Basic Quantum Mechanics unit_01_concept

Syllabus
Structure: Postulates of quantum mechanics. Operators. Time dependent and time independent Schrödinger equations. Born interpretation. Dirac bra-ket notation. Particle in a box: infinite and finite square wells; concept of tunnelling; particle in 1D, 2D and 3D-box; applications. Harmonic oscillator: harmonic and anharmonic potentials; Hermite polynomials. Rotational motion: Angular momentum operators, Rigid rotor. Hydrogen and hydrogen-like atoms: atomic orbitals; radial distribution function.
Core concepts (12)
  • Postulates of Quantum Mechanics
  • Schrödinger Equation
  • Operators and Observable Algebra
  • Wave Function Interpretation
  • Bra-Ket Notation
  • Particle in a Box
  • Tunnelling Phenomenon
  • Quantum Harmonic Oscillator
  • Angular Momentum Operators
  • Rigid Rotor Model
  • Hydrogen Atom Structure
  • Radial Distribution Function
Related concepts (8)
  • Normalisation and Orthogonality
  • Expectation Values
  • Quantum Numbers
  • Nodal Structure
  • Boundary Conditions
  • Hermitian Operators
  • Commutators and Uncertainty
  • Variational Principle

Approximation Methods of Quantum Mechanics unit_02

Syllabus
Multi-electron atoms: orbital approximation; electron spin; Pauli exclusion principle; Slater determinants. Approximation Methods: Variation method and secular determinants; first order perturbation techniques. Atomic units.
Core concepts (9)
  • Multi-Electron Atoms
  • Orbital Approximation
  • Electron Spin
  • Pauli Exclusion Principle
  • Slater Determinants
  • Variation Method
  • Secular Determinants
  • First-Order Perturbation Theory
  • Atomic Units
Related concepts (8)
  • Effective Nuclear Charge
  • Screening and Shielding
  • Spin-Orbitals
  • Antisymmetry Requirement
  • Hartree–Fock Idea
  • Rayleigh–Ritz Principle
  • Degenerate vs Non-Degenerate Perturbation
  • Unit Conversions in Atomic Units

Approximation Methods of Quantum Mechanics unit_02_concept

Syllabus
Multi-electron atoms: orbital approximation; electron spin; Pauli exclusion principle; Slater determinants. Approximation Methods: Variation method and secular determinants; first order perturbation techniques. Atomic units.
Core concepts (9)
  • Multi-Electron Atoms
  • Orbital Approximation
  • Electron Spin
  • Pauli Exclusion Principle
  • Slater Determinants
  • Variation Method
  • Secular Determinants
  • First-Order Perturbation Theory
  • Atomic Units
Related concepts (8)
  • Effective Nuclear Charge
  • Screening and Shielding
  • Spin-Orbitals
  • Antisymmetry Requirement
  • Hartree–Fock Idea
  • Rayleigh–Ritz Principle
  • Degenerate vs Non-Degenerate Perturbation
  • Unit Conversions in Atomic Units

Structure and Bonding unit_03

Syllabus
Molecular structure and Chemical bonding: Born-Oppenheimer approximation; Valence bond theory and linear combination of atomic orbitals – molecular orbital (LCAO-MO) theory. Hybrid orbitals. Applications of LCAO-MO theory to H2+, H2; orbital theory (MOT) of homo- and heteronuclear diatomic molecules. Hückel approximation and its application to annular π–electron systems.
Core concepts (9)
  • Born-Oppenheimer Approximation
  • Valence Bond Theory
  • LCAO-MO Theory
  • Molecular Orbital Formation
  • Hybrid Orbitals
  • Homonuclear Diatomic Molecules
  • Heteronuclear Diatomic Molecules
  • Hückel Approximation
  • Annular π-Electron Systems
Related concepts (9)
  • Molecular Orbital Diagrams
  • Bond Order
  • Orbital Overlap Integral
  • Σ and π Bonding
  • Aufbau Principle in Molecules
  • Variational Principle in LCAO
  • Electronegativity Differences
  • Aromaticity and Cyclic Conjugation
  • Resonance and Delocalization

Structure and Bonding unit_03_concept

Syllabus
Molecular structure and Chemical bonding: Born-Oppenheimer approximation; Valence bond theory and linear combination of atomic orbitals – molecular orbital (LCAO-MO) theory. Hybrid orbitals. Applications of LCAO-MO theory to H2+, H2; orbital theory (MOT) of homo- and heteronuclear diatomic molecules. Hückel approximation and its application to annular π–electron systems.
Core concepts (9)
  • Born-Oppenheimer Approximation
  • Valence Bond Theory
  • LCAO-MO Theory
  • Molecular Orbital Formation
  • Hybrid Orbitals
  • Homonuclear Diatomic Molecules
  • Heteronuclear Diatomic Molecules
  • Hückel Approximation
  • Annular π-Electron Systems
Related concepts (9)
  • Molecular Orbital Diagrams
  • Bond Order
  • Orbital Overlap Integral
  • Σ and π Bonding
  • Aufbau Principle in Molecules
  • Variational Principle in LCAO
  • Electronegativity Differences
  • Aromaticity and Cyclic Conjugation
  • Resonance and Delocalization

Group Theory and Molecular Symmetry unit_04

Syllabus
Group theory: Symmetry elements and operations; Point groups and character tables; Internal coordinates and vibrational modes; symmetry adapted linear combination of atomic orbitals (LCAO-MO); construction of hybrid orbitals using symmetry aspects.
Core concepts (8)
  • Symmetry Elements and Operations
  • Molecular Point Groups
  • Character Tables
  • Reducible and Irreducible Representations
  • Internal Coordinates and Vibrational Modes
  • Symmetry Adapted Linear Combinations (SALC)
  • Symmetry in LCAO-MO Construction
  • Symmetry-Based Hybrid Orbitals
Related concepts (8)
  • Group Theoretical Terminology
  • Matrix Representations of Operations
  • Mulliken Symbols
  • Projection Operator Method
  • Correlation Tables
  • IR and Raman Activity Criteria
  • Symmetry Labels in MO Diagrams
  • Degeneracy and Symmetry

Group Theory and Molecular Symmetry unit_04_concept

Syllabus
Group theory: Symmetry elements and operations; Point groups and character tables; Internal coordinates and vibrational modes; symmetry adapted linear combination of atomic orbitals (LCAO-MO); construction of hybrid orbitals using symmetry aspects.
Core concepts (8)
  • Symmetry Elements and Operations
  • Molecular Point Groups
  • Character Tables
  • Reducible and Irreducible Representations
  • Internal Coordinates and Vibrational Modes
  • Symmetry Adapted Linear Combinations (SALC)
  • Symmetry in LCAO-MO Construction
  • Symmetry-Based Hybrid Orbitals
Related concepts (8)
  • Group Theoretical Terminology
  • Matrix Representations of Operations
  • Mulliken Symbols
  • Projection Operator Method
  • Correlation Tables
  • IR and Raman Activity Criteria
  • Symmetry Labels in MO Diagrams
  • Degeneracy and Symmetry

Atomic and Molecular Spectroscopy unit_05

Syllabus
Spectroscopy - Atomic spectroscopy; Russell-Saunders coupling; Term symbols and spectral details; origin of selection rules. Rotational, vibrational, electronic and Raman spectroscopy of diatomic and polyatomic molecules. Line broadening. Einstein's coefficients. Relationship of transition moment integral with molar extinction coefficient and oscillator strength. Basic principles of nuclear magnetic resonance - gyromagnetic ratio; chemical shift, nuclear coupling.
Core concepts (12)
  • Atomic Spectroscopy
  • Russell-Saunders Coupling
  • Term Symbols and Selection Rules
  • Rotational Spectroscopy
  • Vibrational Spectroscopy
  • Electronic Spectroscopy
  • Raman Spectroscopy
  • Transition Probabilities and Einstein Coefficients
  • Spectroscopic Parameters
  • Line Broadening Mechanisms
  • Nuclear Magnetic Resonance Fundamentals
  • NMR Chemical Shift and Coupling
Related concepts (5)
  • Quantum Mechanical Foundations
  • Group Theory Applications
  • Boltzmann Distribution
  • Molecular Structure Determination
  • Instrumentation Basics

Atomic and Molecular Spectroscopy unit_05_concept

Syllabus
Spectroscopy - Atomic spectroscopy; Russell-Saunders coupling; Term symbols and spectral details; origin of selection rules. Rotational, vibrational, electronic and Raman spectroscopy of diatomic and polyatomic molecules. Line broadening. Einstein's coefficients. Relationship of transition moment integral with molar extinction coefficient and oscillator strength. Basic principles of nuclear magnetic resonance - gyromagnetic ratio; chemical shift, nuclear coupling.
Core concepts (12)
  • Atomic Spectroscopy
  • Russell-Saunders Coupling
  • Term Symbols and Selection Rules
  • Rotational Spectroscopy
  • Vibrational Spectroscopy
  • Electronic Spectroscopy
  • Raman Spectroscopy
  • Transition Probabilities and Einstein Coefficients
  • Spectroscopic Parameters
  • Line Broadening Mechanisms
  • Nuclear Magnetic Resonance Fundamentals
  • NMR Chemical Shift and Coupling
Related concepts (5)
  • Quantum Mechanical Foundations
  • Group Theory Applications
  • Boltzmann Distribution
  • Molecular Structure Determination
  • Instrumentation Basics

Equilibrium Chemical Thermodynamics I unit_06

Syllabus
Equilibrium - Laws of thermodynamics, Standard states, Thermochemistry, Thermodynamic functions and their relationships, Criteria of spontaneity and equilibrium, Absolute entropy, Partial molar quantities, Thermodynamics of mixing, Chemical potential, Fugacity, activity and activity coefficients, Ideal and Non-ideal solutions, Chemical equilibria, Dependence of equilibrium constant on temperature and pressure
Core concepts (9)
  • Laws of Thermodynamics
  • Thermodynamic Functions and Relations
  • Gibbs-Helmholtz and Maxwell Relations
  • Criteria of Spontaneity and Equilibrium
  • Chemical Potential and Partial Molar Quantities
  • Fugacity and Activity
  • Ideal and Non-ideal Solutions
  • Chemical Equilibrium
  • Temperature and Pressure Dependence of Equilibrium
Related concepts (6)
  • Standard States
  • Thermochemistry
  • Absolute Entropy
  • Gibbs-Duhem Equation
  • Thermodynamics of Mixing
  • Raoult's Law and Henry's Law

Equilibrium Chemical Thermodynamics I unit_06_concept

Syllabus
Equilibrium - Laws of thermodynamics, Standard states, Thermochemistry, Thermodynamic functions and their relationships, Criteria of spontaneity and equilibrium, Absolute entropy, Partial molar quantities, Thermodynamics of mixing, Chemical potential, Fugacity, activity and activity coefficients, Ideal and Non-ideal solutions, Chemical equilibria, Dependence of equilibrium constant on temperature and pressure
Core concepts (9)
  • Laws of Thermodynamics
  • Thermodynamic Functions and Relations
  • Gibbs-Helmholtz and Maxwell Relations
  • Criteria of Spontaneity and Equilibrium
  • Chemical Potential and Partial Molar Quantities
  • Fugacity and Activity
  • Ideal and Non-ideal Solutions
  • Chemical Equilibrium
  • Temperature and Pressure Dependence of Equilibrium
Related concepts (6)
  • Standard States
  • Thermochemistry
  • Absolute Entropy
  • Gibbs-Duhem Equation
  • Thermodynamics of Mixing
  • Raoult's Law and Henry's Law

Phase Rule and Phase Stability unit_07

Syllabus
Phase rule, Clausius-Clapeyron equation, Phase diagram of one component systems (CO2, H2O, S), two component systems (liquid-vapour, liquid-liquid, solid-liquid), Fractional distillation, Azeotropes and eutectics
Core concepts (8)
  • Phase Rule
  • Clausius-Clapeyron Equation
  • One-Component Phase Diagrams
  • Two-Component Liquid-Vapor Systems
  • Two-Component Liquid-Liquid Systems
  • Two-Component Solid-Liquid Systems
  • Azeotropes
  • Eutectics
Related concepts (6)
  • Triple Point and Critical Point
  • Fractional Distillation
  • Vapor Pressure Curves
  • Congruent and Incongruent Melting
  • Lever Rule
  • Degrees of Freedom

Phase Rule and Phase Stability unit_07_concept

Syllabus
Phase rule, Clausius-Clapeyron equation, Phase diagram of one component systems (CO2, H2O, S), two component systems (liquid-vapour, liquid-liquid, solid-liquid), Fractional distillation, Azeotropes and eutectics
Core concepts (8)
  • Phase Rule
  • Clausius-Clapeyron Equation
  • One-Component Phase Diagrams
  • Two-Component Liquid-Vapor Systems
  • Two-Component Liquid-Liquid Systems
  • Two-Component Solid-Liquid Systems
  • Azeotropes
  • Eutectics
Related concepts (6)
  • Triple Point and Critical Point
  • Fractional Distillation
  • Vapor Pressure Curves
  • Congruent and Incongruent Melting
  • Lever Rule
  • Degrees of Freedom

Ionic Equilibrium and Electrochemistry unit_08

Syllabus
Ionic mobility and conductivity. Debye-Hückel limiting law. Debye-Hückel-Onsager equation. Standard electrode potentials and electrochemical cells. Nernst Equation and its application, relationship between Electrode potential and thermodynamic quantities, Potentiometric and conductometric titrations.
Core concepts (10)
  • Ionic mobility
  • Conductivity of electrolyte solutions
  • Debye-Hückel limiting law
  • Debye-Hückel-Onsager equation
  • Standard electrode potentials
  • Electrochemical cells
  • Nernst equation
  • Electrode potential–thermodynamics relationship
  • Potentiometric titrations
  • Conductometric titrations
Related concepts (9)
  • Transport number
  • Kohlrausch’s law of independent migration
  • Ionic strength
  • Activity and activity coefficient
  • Ionic atmosphere
  • Liquid junction potential and salt bridge
  • Reference electrodes
  • pH measurement
  • Cell EMF measurement

Ionic Equilibrium and Electrochemistry unit_08_concept

Syllabus
Ionic mobility and conductivity. Debye-Hückel limiting law. Debye-Hückel-Onsager equation. Standard electrode potentials and electrochemical cells. Nernst Equation and its application, relationship between Electrode potential and thermodynamic quantities, Potentiometric and conductometric titrations.
Core concepts (10)
  • Ionic mobility
  • Conductivity of electrolyte solutions
  • Debye-Hückel limiting law
  • Debye-Hückel-Onsager equation
  • Standard electrode potentials
  • Electrochemical cells
  • Nernst equation
  • Electrode potential–thermodynamics relationship
  • Potentiometric titrations
  • Conductometric titrations
Related concepts (9)
  • Transport number
  • Kohlrausch’s law of independent migration
  • Ionic strength
  • Activity and activity coefficient
  • Ionic atmosphere
  • Liquid junction potential and salt bridge
  • Reference electrodes
  • pH measurement
  • Cell EMF measurement

Statistical Thermodynamics unit_09

Syllabus
Statistical thermodynamics- micro canonical, canonical and grand canonical ensembles, Boltzmann distribution, partition functions and thermodynamic properties.
Core concepts (6)
  • Microcanonical ensemble
  • Canonical ensemble
  • Grand canonical ensemble
  • Boltzmann distribution
  • Partition function
  • Thermodynamic properties from statistics
Related concepts (7)
  • Microstates and macrostates
  • Phase space and density of states
  • Ensemble averages and ergodic hypothesis
  • Statistical definition of entropy
  • Stirling approximation
  • Identical particles and indistinguishability
  • Classical versus quantum statistics

Statistical Thermodynamics unit_09_concept

Syllabus
Statistical thermodynamics- micro canonical, canonical and grand canonical ensembles, Boltzmann distribution, partition functions and thermodynamic properties.
Core concepts (6)
  • Microcanonical ensemble
  • Canonical ensemble
  • Grand canonical ensemble
  • Boltzmann distribution
  • Partition function
  • Thermodynamic properties from statistics
Related concepts (7)
  • Microstates and macrostates
  • Phase space and density of states
  • Ensemble averages and ergodic hypothesis
  • Statistical definition of entropy
  • Stirling approximation
  • Identical particles and indistinguishability
  • Classical versus quantum statistics

Chemical Kinetics unit_10

Syllabus
Kinetics - Elementary, parallel, opposing and consecutive reactions. Steady state approximation. Mechanisms of complex reactions, Kinetics of polymerization. Catalysis concepts and enzyme catalysis. Kinetic isotope effects.
Core concepts (6)
  • Elementary Reactions
  • Complex Reaction Types
  • Steady State Approximation
  • Reaction Mechanisms
  • Catalysis
  • Kinetic Isotope Effects
Related concepts (6)
  • Rate Laws and Order
  • Activation Energy
  • Intermediates and Rate-Determining Steps
  • Polymerization Kinetics
  • Enzyme Kinetics
  • Collision Theory

Chemical Kinetics unit_10_concept

Syllabus
Kinetics - Elementary, parallel, opposing and consecutive reactions. Steady state approximation. Mechanisms of complex reactions, Kinetics of polymerization. Catalysis concepts and enzyme catalysis. Kinetic isotope effects.
Core concepts (6)
  • Elementary Reactions
  • Complex Reaction Types
  • Steady State Approximation
  • Reaction Mechanisms
  • Catalysis
  • Kinetic Isotope Effects
Related concepts (6)
  • Rate Laws and Order
  • Activation Energy
  • Intermediates and Rate-Determining Steps
  • Polymerization Kinetics
  • Enzyme Kinetics
  • Collision Theory

Introduction to Reaction Dynamics unit_11

Syllabus
Unimolecular reactions. Potential energy surfaces and classical trajectories, Concept of Saddle points, Transition state theory - Eyring equation, thermodynamic aspects
Core concepts (5)
  • Unimolecular Reactions
  • Potential Energy Surfaces (PES)
  • Saddle Points
  • Transition State Theory (TST)
  • Thermodynamic Aspects of TST
Related concepts (6)
  • Classical Trajectories
  • Reaction Coordinate
  • Activation Energy
  • Partition Functions
  • First-Order Phase Transitions in Kinetics
  • Comparison of TST to Other Theories

Introduction to Reaction Dynamics unit_11_concept

Syllabus
Unimolecular reactions. Potential energy surfaces and classical trajectories, Concept of Saddle points, Transition state theory - Eyring equation, thermodynamic aspects
Core concepts (5)
  • Unimolecular Reactions
  • Potential Energy Surfaces (PES)
  • Saddle Points
  • Transition State Theory (TST)
  • Thermodynamic Aspects of TST
Related concepts (6)
  • Classical Trajectories
  • Reaction Coordinate
  • Activation Energy
  • Partition Functions
  • First-Order Phase Transitions in Kinetics
  • Comparison of TST to Other Theories

Fast Reaction Kinetics unit_12

Syllabus
Fast reaction kinetics- relaxation and flow methods. Diffusion controlled reactions. Kinetics of photochemical and photo physical processes.
Core concepts (6)
  • Fast Reaction Kinetics
  • Relaxation Methods
  • Flow Methods
  • Diffusion-Controlled Reactions
  • Photochemical Kinetics
  • Photophysical Processes
Related concepts (8)
  • Reaction Timescales and Instrument Response
  • Transient Species and Relaxation to Equilibrium
  • Stopped-Flow Instrumentation
  • Smoluchowski Theory
  • Jablonski Diagram
  • Fluorescence Quenching and Stern–Volmer Analysis
  • Quantum Yield
  • Laser Flash Photolysis

Fast Reaction Kinetics unit_12_concept

Syllabus
Fast reaction kinetics- relaxation and flow methods. Diffusion controlled reactions. Kinetics of photochemical and photo physical processes.
Core concepts (6)
  • Fast Reaction Kinetics
  • Relaxation Methods
  • Flow Methods
  • Diffusion-Controlled Reactions
  • Photochemical Kinetics
  • Photophysical Processes
Related concepts (8)
  • Reaction Timescales and Instrument Response
  • Transient Species and Relaxation to Equilibrium
  • Stopped-Flow Instrumentation
  • Smoluchowski Theory
  • Jablonski Diagram
  • Fluorescence Quenching and Stern–Volmer Analysis
  • Quantum Yield
  • Laser Flash Photolysis

Surfaces and Interfaces unit_13

Syllabus
Surfaces and Interfaces - Physisorption and chemisorption. Langmuir, Freundlich and Brunauer–Emmett–Teller (BET) isotherms. Surface catalysis- Langmuir-Hinshelwood mechanism. Surface tension, viscosity. Self-assembly. Physical chemistry of colloids, micelles and macromolecules
Core concepts (8)
  • Physisorption and Chemisorption
  • Langmuir Isotherm
  • Freundlich Isotherm
  • BET Isotherm
  • Langmuir-Hinshelwood Mechanism
  • Surface Tension
  • Viscosity
  • Self-Assembly
Related concepts (8)
  • Adsorption Thermodynamics
  • Surface Coverage and Kinetics
  • Heterogeneous Surfaces
  • Interfacial Tensions
  • Surfactants and Amphiphiles
  • Colloids and Colloidal Stability
  • Micelle Formation
  • Macromolecular Solutions

Surfaces and Interfaces unit_13_concept

Syllabus
Surfaces and Interfaces - Physisorption and chemisorption. Langmuir, Freundlich and Brunauer–Emmett–Teller (BET) isotherms. Surface catalysis- Langmuir-Hinshelwood mechanism. Surface tension, viscosity. Self-assembly. Physical chemistry of colloids, micelles and macromolecules
Core concepts (8)
  • Physisorption and Chemisorption
  • Langmuir Isotherm
  • Freundlich Isotherm
  • BET Isotherm
  • Langmuir-Hinshelwood Mechanism
  • Surface Tension
  • Viscosity
  • Self-Assembly
Related concepts (8)
  • Adsorption Thermodynamics
  • Surface Coverage and Kinetics
  • Heterogeneous Surfaces
  • Interfacial Tensions
  • Surfactants and Amphiphiles
  • Colloids and Colloidal Stability
  • Micelle Formation
  • Macromolecular Solutions

Syllabus

Mathematical Physics section_1

Syllabus
Mathematical Physics covering Linear Vector Spaces, Matrices, Differential Equations, Special Functions, Complex Analysis, Integral Transforms, and Tensor Calculus
Core concepts (8)
  • Linear Vector Spaces
  • Matrix Theory
  • Second Order Linear Differential Equations
  • Complex Analysis
  • Residue Theorem
  • Laplace Transform
  • Fourier Analysis
  • Tensor Calculus
Related concepts (10)
  • Inner Product Spaces
  • Eigenvalue Algorithms
  • Green's Functions
  • Sturm-Liouville Theory
  • Analytic Continuation
  • Conformal Mapping
  • Integral Representations
  • Spectral Methods
  • Differential Geometry
  • Special Relativity Applications

Classical Mechanics section_2

Syllabus
Classical Mechanics: Lagrangian Formulation (D'Alembert's principle, Euler-Lagrange equation, Hamilton's principle, calculus of variations), Symmetry and conservation laws, Central force motion (Kepler problem and Rutherford scattering), Small oscillations (coupled oscillations and normal modes), Rigid body dynamics (inertia tensor, orthogonal transformations, Euler angles, Torque-free motion of a symmetric top), Hamiltonian and Hamilton's equations of motion, Liouville's theorem, Canonical transformations (action-angle variables, Poisson brackets, Hamilton-Jacobi equation), Special Theory of Relativity (Lorentz transformations, relativistic kinematics, mass-energy equivalence)
Core concepts (8)
  • Lagrangian Mechanics
  • Hamiltonian Mechanics
  • Rigid Body Dynamics
  • Special Relativity
  • Central Force Motion
  • Small Oscillations
  • Canonical Transformations
  • Conservation Laws
Related concepts (15)
  • Calculus of Variations
  • D'Alembert's Principle
  • Hamilton's Principle
  • Noether's Theorem
  • Inertia Tensor
  • Euler Angles
  • Liouville's Theorem
  • Poisson Brackets
  • Hamilton-Jacobi Equation
  • Action-Angle Variables
  • Lorentz Transformations
  • Four-Vectors
  • Kepler Problem
  • Rutherford Scattering
  • Normal Modes

Electromagnetic Theory section_3

Syllabus
Electromagnetic Theory - Electrostatics and Magnetostatics, Maxwell's Equations, Wave Propagation, Boundary Interactions, Energy Transport, and Radiation Phenomena
Core concepts (6)
  • Electrostatics and Magnetostatics
  • Maxwell's Equations
  • Electromagnetic Wave Propagation
  • Wave-Boundary Interactions
  • Electromagnetic Energy and Momentum
  • Radiation Theory
Related concepts (8)
  • Vector Calculus
  • Partial Differential Equations
  • Boundary Value Problems
  • Complex Analysis
  • Fourier Analysis
  • Material Properties
  • Gauge Theory
  • Special Relativity

Quantum Mechanics section_4

Syllabus
Section 4: Quantum Mechanics - Postulates of quantum mechanics, uncertainty principle, Schrodinger equation, Dirac Bra Ket notation, linear vectors and operators in Hilbert space, one dimensional potentials (step potential, finite rectangular well, tunneling, particle in a box, harmonic oscillator), two and three dimensional systems with degeneracy, hydrogen atom, angular momentum and spin, addition of angular momenta, variational method, WKB approximation, time independent perturbation theory, elementary scattering theory, Born approximation, and symmetries in quantum mechanical systems
Core concepts (12)
  • Postulates of Quantum Mechanics
  • Schrodinger Equation
  • Hilbert Space Formalism
  • Uncertainty Principle
  • Particle in a Box
  • Quantum Harmonic Oscillator
  • Hydrogen Atom
  • Angular Momentum Operators
  • Spin
  • Time-Independent Perturbation Theory
  • Variational Principle
  • Scattering Theory
Related concepts (16)
  • Wave-Particle Duality
  • Probability Density and Normalization
  • Hermitian Operators
  • Commutators
  • Tunneling Phenomenon
  • Degeneracy
  • Spherical Harmonics
  • Radial Wavefunctions
  • Clebsch-Gordan Coefficients
  • WKB Approximation
  • Born Approximation
  • Parity and Symmetry Operations
  • Selection Rules
  • Eigenstates and Eigenvalues
  • Boundary Conditions
  • Continuity and Discontinuity Conditions

Thermodynamics and Statistical Physics section_5

Syllabus
Section 5: Thermodynamics and Statistical Physics - Laws of thermodynamics; Macrostates and microstates; phase space; Ensembles; Partition function, free energy, calculation of thermodynamic quantities; Classical and quantum statistics; Degenerate Fermi gas; Black body radiation and Planck's distribution law; Bose-Einstein condensation; First and second order phase transitions, phase equilibria, critical point
Core concepts (11)
  • Laws of Thermodynamics
  • Microstates and Macrostates
  • Phase Space
  • Statistical Ensembles
  • Partition Function
  • Free Energy
  • Classical Statistics
  • Quantum Statistics
  • Fermi-Dirac Statistics
  • Bose-Einstein Statistics
  • Phase Transitions
Related concepts (12)
  • Thermodynamic Equilibrium
  • Entropy and Second Law
  • Thermodynamic Potentials
  • Maxwell Relations
  • Density of States
  • Chemical Potential
  • Planck Distribution
  • Fermi Energy and Fermi Surface
  • Heat Capacity
  • Phase Diagrams
  • Order Parameters
  • Fluctuations

Atomic and Molecular Physics section_6

Syllabus
Section 6: Atomic & Molecular Physics - Spectra of one- and many-electron atoms, spin-orbit interaction (LS and jj couplings), fine and hyperfine structures, Zeeman and Stark effects, electric dipole transitions and selection rules, rotational and vibrational spectra of diatomic molecules, electronic transitions in diatomic molecules, Franck-Condon principle, Raman effect, EPR, NMR, ESR, X-ray spectra, lasers (Einstein coefficients, population inversion, two and three level systems)
Core concepts (14)
  • Atomic Spectra
  • Spin-Orbit Coupling
  • Fine and Hyperfine Structure
  • Zeeman Effect
  • Stark Effect
  • Electric Dipole Transitions
  • Rotational Spectra
  • Vibrational Spectra
  • Electronic Transitions in Molecules
  • Franck-Condon Principle
  • Raman Effect
  • Magnetic Resonance Spectroscopy
  • X-ray Spectra
  • Laser Physics
Related concepts (15)
  • Quantum Mechanical Angular Momentum
  • Perturbation Theory
  • Term Symbols
  • Molecular Orbitals
  • Born-Oppenheimer Approximation
  • Rigid Rotor and Harmonic Oscillator
  • Selection Rules
  • Group Theory in Spectroscopy
  • Transition Dipole Moments
  • Einstein A and B Coefficients
  • Population Inversion
  • Cavity Resonators
  • Boltzmann Distribution
  • Line Broadening Mechanisms
  • Molecular Symmetry

Solid State Physics section_7

Syllabus
Section 7: Solid State Physics - Comprehensive coverage of crystallography, electronic structure, transport properties, optical, dielectric, magnetic properties, and superconductivity
Core concepts (14)
  • Crystal Structure
  • Diffraction Methods
  • Bonding in Solids
  • Lattice Vibrations
  • Thermal Properties
  • Free Electron Theory
  • Band Theory
  • Electronic Classification
  • Charge Transport
  • Optical Properties
  • Dielectric Properties
  • Magnetic Properties
  • Magnetic Domains
  • Superconductivity
Related concepts (20)
  • Crystallographic Point Groups
  • Reciprocal Lattice
  • Ewald Sphere
  • Anharmonic Effects
  • Phonon Scattering
  • Bloch Theorem
  • Energy Gap Formation
  • Semiconductor Physics
  • Carrier Statistics
  • Optical Transitions Selection Rules
  • Excitons
  • Clausius-Mossotti Relation
  • Spontaneous Polarization
  • Exchange Interaction
  • Spin Waves
  • Critical Phenomena
  • Josephson Effect
  • High-Temperature Superconductors
  • Semiconductor Devices
  • Spintronics

Electronics section_8

Syllabus
Section 8: Electronics - Semiconductor Fundamentals, Metal-Semiconductor Junctions, Semiconductor Devices, Analog Circuits, Digital Electronics
Core concepts (15)
  • Semiconductor Physics
  • Metal-Semiconductor Junctions
  • PN Junction Diodes
  • Bipolar Junction Transistors
  • Field Effect Transistors
  • Feedback Circuits
  • Operational Amplifiers
  • Active Filters
  • Oscillators
  • Digital Logic Circuits
  • Combinational Circuits
  • Sequential Circuits
  • Timers and Counters
  • Registers
  • Data Conversion
Related concepts (11)
  • Band Theory of Solids
  • Drift and Diffusion
  • Continuity Equation
  • Small Signal Analysis
  • Frequency Response
  • Power Supplies
  • Noise in Electronic Circuits
  • CMOS Technology
  • Timing Analysis
  • Memory Circuits
  • Sampling Theory

Nuclear and Particle Physics section_9

Syllabus
Section 9: Nuclear Physics - Nuclear radii and charge distributions, nuclear binding energy, electric and magnetic moments, Semi-empirical mass formula, Nuclear models (liquid drop model, nuclear shell model), Nuclear force and two nucleon problem, Alpha decay, beta-decay, electromagnetic transitions in nuclei, Rutherford scattering, nuclear reactions, conservation laws, Fission and fusion, Particle accelerators and detectors, Elementary particles (photons, baryons, mesons and leptons), Quark model, Conservation laws, isospin symmetry, charge conjugation, parity and time-reversal invariance
Core concepts (19)
  • Nuclear Structure
  • Semi-Empirical Mass Formula
  • Liquid Drop Model
  • Nuclear Shell Model
  • Nuclear Forces
  • Alpha Decay
  • Beta Decay
  • Gamma Transitions
  • Nuclear Reactions
  • Rutherford Scattering
  • Fission
  • Fusion
  • Particle Accelerators
  • Radiation Detectors
  • Elementary Particle Classification
  • Quark Model
  • Conservation Laws
  • Isospin Symmetry
  • Discrete Symmetries
Related concepts (16)
  • Quantum Mechanics
  • Angular Momentum Theory
  • Electromagnetic Theory
  • Statistical Mechanics
  • Group Theory
  • Relativistic Quantum Mechanics
  • Fermi Gas Model
  • Tunneling Phenomenon
  • Weak Interaction Theory
  • Cross Section Formalism
  • Reaction Kinematics
  • Chain Reactions
  • Plasma Physics
  • Ionization and Excitation
  • Standard Model
  • CPT Theorem