Chemistry Deep Dives

Every topic rebuilt 3Blue1Brown-style: foundations from zero, the derivation in pictures, worked examples for every scenario, graded exercises, and concept-trap question banks.

283 topics · 1396 pages — more land as generation runs

1.1

Matter, Measurement & the Mole

16 deep-dive topics

1.1.1States of matter — solid, liquid, gas, plasma; macroscopic vs particulate view

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1.1.2Pure substances vs mixtures — elements, compounds, homogeneous - heterogeneous

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1.1.3Separation techniques — filtration, distillation, chromatography, centrifugation, sublimation

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1.1.4Physical vs chemical change

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1.1.5SI units in chemistry — kg, mol, K, Pa; derived units (J, L)

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1.1.6Significant figures and rounding rules

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1.1.7Density, molar mass, molar volume

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1.1.8Law of conservation of mass (Lavoisier) — proof, examples

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1.1.9Law of definite proportions (Proust)

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1.1.10Law of multiple proportions (Dalton)

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1.1.11Avogadro's law and Avogadro's number N_A = 6.022 × 10²³

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1.1.12The mole concept — counting by weighing

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1.1.13Molar mass calculations

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1.1.14Empirical formula vs molecular formula — determination from % composition

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1.1.15Concentration units — mass %, volume %, ppm, ppb, molarity (M), molality (m), mole fraction

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1.1.16Dilution formula M₁V₁ = M₂V₂

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1.2

Atomic Structure (Classical)

11 deep-dive topics

1.2.1Dalton's atomic theory — postulates and limitations

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1.2.2Discovery of electron (Thomson, cathode rays), proton (Goldstein), neutron (Chadwick)

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1.2.3Thomson's plum-pudding model

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1.2.4Rutherford's gold-foil experiment — nuclear model

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1.2.5Atomic number Z, mass number A, isotopes, isobars, isotones

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1.2.6Calculation of atomic mass from isotopic abundance

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1.2.7Bohr model of hydrogen — postulates, radius rₙ = 0.529 n² - Z Å, energy Eₙ = −13.6 Z² - n² eV

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1.2.8Derivation of Bohr's radii and energies from electrostatics + quantization

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1.2.9Hydrogen emission spectrum — Lyman, Balmer, Paschen, Brackett, Pfund

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1.2.10Rydberg formula 1 - λ = R(1 - n₁² − 1 - n₂²)

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1.2.11Limitations of Bohr — fails for multi-electron atoms, fine structure

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1.3

Chemical Reactions & Stoichiometry

9 deep-dive topics

1.3.1Writing and balancing chemical equations

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1.3.2Types of reactions — combination, decomposition, displacement, double displacement, redox

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1.3.3Limiting reagent problems

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1.3.4Percent yield, theoretical yield, actual yield

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1.3.5Solution stoichiometry — titrations, dilutions

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1.3.6Oxidation number rules — assigning, change

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1.3.7Balancing redox equations — ion-electron (half-reaction) method, oxidation-number method

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1.3.8Acid-base reactions — neutralization, salt formation

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1.3.9Combustion stoichiometry — fuel + O₂ → CO₂ + H₂O

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2.1

Quantum Atomic Structure

11 deep-dive topics

2.1.1Black-body radiation and Planck's quantum hypothesis E = hν

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2.1.2Photoelectric effect — Einstein's photon model

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2.1.3Dual nature of matter — de Broglie λ = h - p

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2.1.4Heisenberg uncertainty principle — Δx Δp ≥ ℏ - 2

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2.1.5Quantum numbers — n (principal), l (azimuthal), mₗ (magnetic), mₛ (spin)

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2.1.6Orbital shapes — s (spherical), p (dumbbell), d (cloverleaf), f

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2.1.7Aufbau principle — order of filling (Madelung rule, n + l)

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2.1.8Pauli exclusion principle

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2.1.9Hund's rule of maximum multiplicity

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2.1.10Electronic configuration of elements (Z = 1 to 30) — exceptions Cr, Cu

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2.1.11Stability of half-filled and fully-filled subshells

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2.2

Periodic Trends

9 deep-dive topics

2.2.1Effective nuclear charge Z_eff — Slater's rules

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2.2.2Atomic radius — covalent, metallic, van der Waals; trends across period and group

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2.2.3Ionic radius — cation - parent atom, anion - parent atom; isoelectronic series

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2.2.4Ionization energy — first, second, …; trends and anomalies (e.g. B - Be)

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2.2.5Electron gain enthalpy - electron affinity — trends, anomalies (e.g. Cl - F)

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2.2.6Electronegativity — Pauling, Mulliken, Allred-Rochow scales

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2.2.7Diagonal relationship — Li - Mg, Be - Al, B - Si

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2.2.8Metallic - non-metallic character trends

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2.2.9Variation of oxidation state across the table

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2.3

Chemical Bonding

18 deep-dive topics

2.3.1Octet rule — Lewis structures, exceptions (incomplete octet, expanded octet, odd-electron species)

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2.3.2Formal charge calculation — best resonance structure

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2.3.3Ionic bonding — Born-Haber cycle, lattice energy (Kapustinskii equation)

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2.3.4Fajan's rules — covalent character in ionic compounds

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2.3.5Covalent bonding — bond length, bond energy, bond order

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2.3.6Polarity of bonds — dipole moment μ = q·d

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2.3.7Polarity of molecules — vector sum of bond dipoles

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2.3.8VSEPR theory — geometry from electron pairs (linear, trigonal planar, tetrahedral, trigonal bipyramidal, octahedral, etc

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2.3.9Effect of lone pairs on geometry (e.g. H₂O bent, NH₃ pyramidal)

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2.3.10Valence Bond Theory (VBT) — hybridization (sp, sp², sp³, sp³d, sp³d²)

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2.3.11σ vs π bonds — overlap, strength

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2.3.12Molecular Orbital Theory (MOT) — LCAO, bonding - antibonding orbitals

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2.3.13MO diagrams of H₂, He₂, N₂, O₂, F₂, NO, CO — bond order, magnetism

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2.3.14Why O₂ is paramagnetic (MOT prediction)

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2.3.15Resonance — delocalization, resonance energy (benzene, ozone, carbonate)

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2.3.16Hydrogen bonding — intermolecular, intramolecular; consequences (boiling points, water density)

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2.3.17van der Waals forces — London dispersion, dipole-dipole, dipole-induced dipole

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2.3.18Metallic bonding — electron sea, band theory (intro)

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2.4

States of Matter (Quantitative)

17 deep-dive topics

2.4.1Gas laws — Boyle (PV const at T), Charles (V - T const at P), Gay-Lussac (P - T const at V)

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2.4.2Combined gas law and ideal gas equation PV = nRT

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2.4.3Dalton's law of partial pressures

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2.4.4Graham's law of effusion - diffusion (rate ∝ 1 - √M)

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2.4.5Kinetic molecular theory — derivation of P = (1 - 3)ρv²_rms

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2.4.6Maxwell-Boltzmann distribution of speeds — most probable, mean, rms

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2.4.7Real gases — deviations from ideality, compressibility factor Z

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2.4.8van der Waals equation (P + a - V²)(V − b) = RT — physical meaning of a, b

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2.4.9Critical constants Tc, Pc, Vc; law of corresponding states

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2.4.10Liquefaction of gases — Linde, Claude processes (concept)

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2.4.11Liquid state — vapour pressure, viscosity, surface tension

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2.4.12Solid state — crystalline vs amorphous; unit cell, Bravais lattices

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2.4.13Cubic systems — SCC, BCC, FCC; packing fraction calculations

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2.4.14Coordination number, voids (tetrahedral, octahedral)

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2.4.15Ionic crystals — NaCl, CsCl, ZnS, fluorite, antifluorite structures

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2.4.16Defects — Schottky, Frenkel; non-stoichiometric defects

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2.4.17Electrical properties — conductors, semiconductors, insulators; doping (n-type, p-type)

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2.5

Thermodynamics (Chemical)

16 deep-dive topics

2.5.1System vs surroundings; open, closed, isolated

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2.5.2State functions vs path functions

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2.5.3First law - ΔU = q + w (chemist sign convention)

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2.5.4Work in expansion - reversible isothermal w = −nRT ln(V₂ - V₁), irreversible w = −P_ext ΔV

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2.5.5Enthalpy H = U + PV; ΔH for reactions at constant P

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2.5.6Heat capacities Cp, Cv; relationship Cp − Cv = nR (ideal gas)

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2.5.7Standard enthalpy of formation ΔH°f

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2.5.8Hess's law — enthalpy is a state function; enthalpy cycles

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2.5.9Bond enthalpies — estimating ΔH_rxn from bond energies

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2.5.10Born-Haber cycle revisited — calculating lattice energy

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2.5.11Enthalpy of combustion, neutralization, hydration, solution

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2.5.12Spontaneity — second law; entropy ΔS

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2.5.13Standard entropy S° and ΔS_rxn = Σ S°(products) − Σ S°(reactants)

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2.5.14Gibbs free energy ΔG = ΔH − TΔS; spontaneity criteria

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2.5.15ΔG° and equilibrium constant - ΔG° = −RT ln K

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2.5.16Coupling reactions — driving unfavorable reactions

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2.6

Equilibrium

16 deep-dive topics

2.6.1Reversible reactions and dynamic equilibrium

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2.6.2Law of mass action and Kc, Kp

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2.6.3Relationship Kp = Kc(RT)^Δn

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2.6.4Reaction quotient Q vs K — direction of shift

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2.6.5Le Chatelier's principle — pressure, temperature, concentration, catalyst effects

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2.6.6Heterogeneous equilibria — pure solids - liquids excluded

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2.6.7Acids and bases — Arrhenius, Brønsted-Lowry, Lewis definitions

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2.6.8Conjugate acid-base pairs

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2.6.9Ionic product of water Kw = 10⁻¹⁴ at 25 °C

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2.6.10pH, pOH, pKa, pKb scales

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2.6.11Strong vs weak acids - bases; degree of dissociation α

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2.6.12Ostwald's dilution law (weak acid) - α = √(Ka - C)

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2.6.13Common ion effect

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2.6.14Buffer solutions — Henderson-Hasselbalch equation

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2.6.15Solubility product Ksp — common-ion suppression, selective precipitation

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2.6.16Salt hydrolysis — pH of salt solutions (4 cases - SA - SB, SA - WB, WA - SB, WA - WB)

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2.7

Redox & Electrochemistry (Intro)

11 deep-dive topics

2.7.1Galvanic (voltaic) cells — anode (oxidation), cathode (reduction)

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2.7.2Standard electrode potentials — SHE reference, electrochemical series

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2.7.3Cell EMF E°_cell = E°_cathode − E°_anode

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2.7.4Nernst equation E = E° − (RT - nF) ln Q

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2.7.5Spontaneity from E°_cell and ΔG = −nFE

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2.7.6Equilibrium constant from E° - ln K = nFE° - RT

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2.7.7Concentration cells

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2.7.8Batteries — primary (dry cell), secondary (lead-acid, Li-ion)

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2.7.9Fuel cells — H₂ - O₂ fuel cell (spacecraft relevance)

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2.7.10Electrolysis — Faraday's laws (m = ZIt), industrial electrolysis (NaCl, Al)

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2.7.11Corrosion — electrochemical mechanism; cathodic protection, galvanization

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2.8

Chemical Kinetics

12 deep-dive topics

2.8.1Rate of reaction — average vs instantaneous

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2.8.2Rate law — order vs molecularity

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2.8.3Differential rate equations for 0, 1st, 2nd order — derivations

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2.8.4Integrated rate laws — half-life t₁ - ₂ for each order

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2.8.5Pseudo-first-order kinetics

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2.8.6Methods to determine order — initial rates, integrated method, half-life method

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2.8.7Temperature dependence — Arrhenius equation k = A·e^(−Ea - RT)

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2.8.8Activation energy from Arrhenius plot; effect of catalyst

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2.8.9Collision theory — frequency factor, steric factor

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2.8.10Transition state theory — activated complex (intro)

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2.8.11Reaction mechanisms — elementary steps, rate-determining step

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2.8.12Catalysis — homogeneous, heterogeneous, enzyme catalysis

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3.1

Hydrogen and s-Block

10 deep-dive topics

3.1.1Position of hydrogen in the periodic table (anomalous)

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3.1.2Isotopes of hydrogen — protium, deuterium, tritium

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3.1.3Preparation, properties, uses of dihydrogen

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3.1.4Hydrides — ionic, covalent, interstitial

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3.1.5Water — structure (HOH = 104.5°), anomalous expansion, hardness (temporary - permanent), softening

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3.1.6Heavy water D₂O, hydrogen peroxide H₂O₂ — structure, preparation, reactions

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3.1.7Alkali metals (Group 1) — physical - chemical properties, anomaly of Li, diagonal Li-Mg

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3.1.8Alkaline earth metals (Group 2) — physical - chemical properties, anomaly of Be, diagonal Be-Al

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3.1.9Important compounds — NaOH, NaCl, Na₂CO₃ (Solvay), NaHCO₃; CaO, CaCO₃, gypsum, plaster of Paris

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3.1.10Biological importance of Na, K, Ca, Mg

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3.2

p-Block

11 deep-dive topics

3.2.1Group 13 (Boron family) — anomaly of B, diagonal B-Si; BX₃ Lewis acidity; diborane B₂H₆ (3c-2e bond), borazine

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3.2.2Aluminium — chemistry, alloys; alumina, alums

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3.2.3Group 14 (Carbon family) — allotropes of C (diamond, graphite, fullerenes, graphene, CNTs)

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3.2.4Silicon and silicates; silicones; zeolites

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3.2.5Group 15 (Nitrogen family) — N₂ inertness; NH₃ synthesis (Haber); HNO₃ (Ostwald); oxides of N (N₂O, NO, NO₂, N₂O₄, N₂O₅)

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3.2.6Phosphorus allotropes (white, red, black); P₄O₆, P₄O₁₀; oxoacids of P (H₃PO₃ vs H₃PO₄ basicity)

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3.2.7Group 16 (Oxygen family) — allotropes of O (O₂, O₃); ozone chemistry, ozone layer

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3.2.8Sulfur — allotropes (rhombic, monoclinic); SO₂, SO₃; H₂SO₄ (Contact process); oxoacids of S

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3.2.9Group 17 (Halogens) — properties, oxidizing power; HX strengths; interhalogens; pseudohalogens

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3.2.10Oxoacids of halogens — HClO, HClO₂, HClO₃, HClO₄ — acidity trend

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3.2.11Group 18 (Noble gases) — discovery, isolation, compounds of Xe (XeF₂, XeF₄, XeF₆, XeO₃) — structure and bonding

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3.3

d-Block (Transition Metals) & f-Block

9 deep-dive topics

3.3.1General electronic configuration (n−1)d¹⁻¹⁰ ns⁰⁻²

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3.3.2Variable oxidation states — reasons

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3.3.3Atomic - ionic size trends; lanthanide contraction

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3.3.4Magnetic properties — paramagnetism via spin-only formula μ = √(n(n+2)) BM

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3.3.5Colour of complexes — d-d transitions

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3.3.6Catalytic properties — examples (V₂O₅, Fe, Ni, Pt)

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3.3.7Important compounds — KMnO₄, K₂Cr₂O₇ — preparation, oxidizing reactions

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3.3.8Lanthanides — electronic configuration, lanthanide contraction, oxidation states (mostly +3)

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3.3.9Actinides — electronic configuration, comparison with lanthanides; nuclear chemistry tie-in

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3.4

Coordination Chemistry

15 deep-dive topics

3.4.1Werner's theory of coordination compounds

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3.4.2Ligands — classification (mono, bi, poly, ambidentate, chelating); denticity

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3.4.3Nomenclature (IUPAC) — naming complex ions and compounds

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3.4.4Coordination number and geometry — 2 (linear), 4 (tetrahedral - square planar), 6 (octahedral)

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3.4.5Isomerism — structural (linkage, ionization, coordination, hydrate) and stereo (geometrical, optical)

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3.4.6Effective Atomic Number (EAN) rule

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3.4.7VBT applied to complexes — inner vs outer orbital, hybridization, magnetism

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3.4.8Crystal Field Theory (CFT) — Δ_oct, Δ_tet, splitting diagrams

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3.4.9Crystal Field Stabilization Energy (CFSE) — high-spin vs low-spin; spectrochemical series

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3.4.10Jahn-Teller distortion

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3.4.11Colour and spectra — d-d transitions, charge transfer; selection rules

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3.4.12Magnetic moments of complexes

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3.4.13Ligand Field Theory (LFT) and MO description (overview)

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3.4.14Stability constants of complexes — chelate effect

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3.4.15Applications — biological (haemoglobin, chlorophyll, vit B₁₂), medicinal (cisplatin), industrial (catalysts)

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4.1

General Organic Chemistry (GOC)

12 deep-dive topics

4.1.1Tetravalency of carbon; hybridization recap (sp, sp², sp³)

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4.1.2Catenation and the diversity of organic molecules

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4.1.3Functional groups and homologous series

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4.1.4IUPAC nomenclature — alkanes, alkenes, alkynes, aromatics, alcohols, ethers, aldehydes, ketones, acids, esters, amines,

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4.1.5Isomerism — structural (chain, position, functional, metamerism, tautomerism) and stereo (geometrical - cis-trans - E-Z,

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4.1.6Chirality — chiral centres, enantiomers, diastereomers, meso compounds

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4.1.7Optical activity — specific rotation, racemic mixtures, resolution

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4.1.8Electronic effects — inductive (+I - −I), mesomeric - resonance (+M - −M), hyperconjugation, electromeric

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4.1.9Reactive intermediates — carbocations (stability), carbanions, free radicals, carbenes, nitrenes; rearrangements (hydrid

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4.1.10Reagent classification — electrophiles, nucleophiles (hard - soft)

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4.1.11Types of organic reactions — addition, substitution, elimination, rearrangement

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4.1.12Reaction mechanisms — curved-arrow notation, bond formation - breaking (heterolysis vs homolysis)

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4.2

Hydrocarbons

10 deep-dive topics

4.2.1Alkanes — preparation (Wurtz, Kolbe electrolysis, hydrogenation), properties, free-radical halogenation (Cl₂ - Br₂)

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4.2.2Conformations of ethane, butane — Newman projections

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4.2.3Cycloalkanes — Baeyer's strain theory; cyclohexane chair - boat, axial vs equatorial

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4.2.4Alkenes — preparation (dehydration, dehydrohalogenation, Zaitsev's rule), addition reactions

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4.2.5Markovnikov vs anti-Markovnikov (peroxide effect, Kharasch)

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4.2.6Hydroboration-oxidation, ozonolysis (reductive - oxidative), syn vs anti dihydroxylation, halohydrin formation

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4.2.7Alkynes — preparation, acidity of terminal alkynes, addition reactions, hydration to ketones

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4.2.8Aromaticity — Hückel's rule (4n + 2 π electrons); examples (benzene, naphthalene, pyridine, furan, cyclopentadienyl anio

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4.2.9Electrophilic aromatic substitution (EAS) — nitration, halogenation, sulfonation, Friedel-Crafts alkylation - acylation;

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4.2.10Activating vs deactivating groups; ortho - para vs meta directors; reactivity order

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4.3

Halides and Oxygenated Derivatives

9 deep-dive topics

4.3.1Alkyl halides — preparation, SN1 vs SN2 (mechanism, kinetics, stereochemistry), E1 vs E2 (mechanism, Zaitsev - Hofmann)

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4.3.2Effect of substrate, nucleophile - base, solvent, leaving group

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4.3.3Aryl halides — low reactivity, addition-elimination (benzyne mechanism), nucleophilic aromatic substitution

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4.3.4Alcohols — preparation, acidity (pKa ~16), oxidation (PCC, Jones, K₂Cr₂O₇), Lucas test

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4.3.5Phenols — acidity (resonance stabilization), Kolbe-Schmidt, Reimer-Tiemann, Fries rearrangement

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4.3.6Ethers — Williamson synthesis, cleavage by HI

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4.3.7Aldehydes and ketones — preparation; nucleophilic addition; aldol, Cannizzaro, Wittig, Claisen-Schmidt, Mannich, Reforma

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4.3.8Carboxylic acids — acidity, derivatives (acid chlorides, anhydrides, esters, amides), Hell-Volhard-Zelinsky, esterificat

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4.3.9α,β-Unsaturated carbonyls — Michael addition, 1,2 vs 1,4 addition

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4.5

Biomolecules

8 deep-dive topics

4.5.1Carbohydrates — classification (mono - di - polysaccharides), Fischer - Haworth projections, mutarotation, glycosidic bo

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4.5.2Amino acids — zwitterion, isoelectric point pI, classification (essential, non-essential)

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4.5.3Peptide bond; primary, secondary, tertiary, quaternary protein structure

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4.5.4Enzymes — lock-and-key vs induced fit; Michaelis-Menten kinetics

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4.5.5Nucleic acids — DNA, RNA; base pairing, double helix, replication, transcription, translation (overview)

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4.5.6Lipids — fatty acids, triglycerides, phospholipids; saponification

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4.5.7Vitamins — fat-soluble (A, D, E, K) vs water-soluble (B-complex, C)

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4.5.8Hormones — peptide vs steroid (overview)

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4.8

Spectroscopy & Analysis (Intro)

3 deep-dive topics

4.8.2UV-Vis spectroscopy — Beer-Lambert law, conjugation and λ_max

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4.8.4¹H NMR — chemical shift, multiplicity (n + 1 rule), integration; common ranges

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4.8.7Chromatography — TLC, column, GC, HPLC (principles)

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5.1

Physical Chemistry (Advanced)

2 deep-dive topics

5.1.1Quantum chemistry — particle in a box revisited; H-atom solutions

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5.1.8Electrochemistry (advanced) — Butler-Volmer equation, Tafel plot, overpotential

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5.2

Nuclear & Radiochemistry

6 deep-dive topics

5.2.4Radioactive series — uranium, thorium, actinium

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5.2.5Nuclear reactions — Q-value, cross-section

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5.2.6Fission — chain reaction, critical mass, reactors (thermal vs fast)

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5.2.7Fusion — D-T reaction, solar fusion (p-p chain), tokamak - ICF

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5.2.8Applications — radiocarbon dating, medical (Tc-99m, I-131), RTG (Pu-238 in spacecraft)

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5.2.9Radiation safety — units (Bq, Gy, Sv), shielding

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5.3

Combustion Chemistry (Propulsion Bridge)

10 deep-dive topics

5.3.1Stoichiometric vs fuel-rich vs fuel-lean combustion

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5.3.2Adiabatic flame temperature — calculation with enthalpies of formation

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5.3.3Equilibrium products at high T — dissociation (H₂O ⇌ OH + H; CO₂ ⇌ CO + ½O₂)

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5.3.4Chapman-Jouguet detonation; deflagration vs detonation

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5.3.5Premixed vs diffusion flames

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5.3.6Combustion of hydrocarbons (RP-1 - kerosene, methane) and hydrogen

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5.3.7Combustion of hypergolics — N₂O₄ + UDMH - MMH; ignition delay

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5.3.8Solid propellants — AP - HTPB - Al composition; burn rate dependence on pressure (Vieille's law)

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5.3.9Pollutants — NOₓ, soot, unburned hydrocarbons

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5.3.10CEA (Chemical Equilibrium with Applications) — using NASA-CEA tool to compute Isp, Tc, products

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5.4

Materials Chemistry (Aerospace)

10 deep-dive topics

5.4.1Metals & alloys — Al alloys (2024, 7075), Ti alloys (Ti-6Al-4V), Ni superalloys (Inconel, Hastelloy), stainless steels

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5.4.2Refractory metals — W, Mo, Ta, Re for rocket nozzles

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5.4.3Heat treatment — annealing, normalising, quenching, tempering; precipitation hardening

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5.4.4Ceramics — alumina, zirconia, silicon carbide, silicon nitride; properties at high T

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5.4.5Carbon-carbon composites (RCC for nose cone - leading edges)

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5.4.6Polymer-matrix composites — CFRP, GFRP; ply lay-up, laminate theory

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5.4.7Ablative materials — phenolic-impregnated carbon ablator (PICA), AVCOAT, SLA

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5.4.8Thermal protection — silica tiles (Shuttle), UHTCs (ZrB₂, HfB₂)

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5.4.9Corrosion in aerospace environments — stress corrosion cracking, hydrogen embrittlement

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5.4.10Surface treatments — anodising, plasma spraying, vapour deposition

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