Learn Chemistry
A curriculum-ordered guide to the concepts behind molecular structure. Each chapter covers the theory you need, then links to interactive 3D explorers and practice modules to solidify your understanding.
General Chemistry
Chemical Bonding
Why atoms bond, ionic vs covalent, Lewis structures, sigma and pi bonds, bond order, resonance.
Lewis Structures
Drawing dot structures, formal charge, resonance, and octet rule exceptions.
Hybridization & Orbitals
sp, sp2, sp3 orbital mixing and how it determines geometry.
VSEPR Theory & Geometry
Predicting 3D molecular shape from electron pair repulsion.
Lone Pairs
How non-bonding electrons affect geometry, polarity, and reactivity.
Molecular Polarity
Bond dipoles, molecular geometry, and net dipole moment.
Intermolecular Forces
London dispersion, dipole-dipole, and hydrogen bonding.
Periodic Trends
Electronegativity, atomic radius, ionization energy, and electron affinity.
Electron Configuration
coming soonAufbau principle, orbital filling order, noble gas shorthand.
Bonding Types
coming soonClassifying bonds as ionic, polar covalent, or nonpolar covalent.
Stoichiometry
coming soonBalancing equations, mole conversions, limiting reagent, percent yield.
Chemical Equilibrium
coming soonLe Chatelier's principle, equilibrium constants, ICE tables, Q vs K.
Organic Chemistry
IUPAC Nomenclature
Systematic naming rules for organic molecules.
Functional Groups
coming soonIdentifying alcohols, carbonyls, amines, and other key groups.
Stereochemistry & Chirality
Stereocenters, enantiomers, R/S assignment, and CIP priority rules.
Conformational Analysis
coming soonNewman projections, chair flips, axial vs equatorial positions.
Isomers
coming soonConstitutional, geometric, and optical isomers compared side-by-side.
Acid-Base Chemistry
coming soonBronsted-Lowry definitions, conjugate pairs, pKa, and proton transfer.
Acidity Ranking
coming soonComparing acid strength using resonance, induction, and orbital effects.
Reaction Mechanisms
coming soonElectron flow arrows, nucleophilic substitution, elimination, and addition.
Spectroscopy & Advanced Topics
IR Spectroscopy
Molecular vibrations, diagnostic regions, functional group frequencies, and interpretation strategy.
1H NMR Spectroscopy
Chemical shift, splitting patterns, integration, coupling constants, and interpretation strategy.
Symmetry Elements
Mirror planes, rotation axes, inversion centers, and improper rotations.
Point Group Symmetry
Classifying molecules by their symmetry operations.
Drug Chirality
coming soonHow enantiomers affect drug activity, safety, and pharmacology.
Using Symmetria
The sections below provide quick reference material for topics that don't have a dedicated chapter yet. As we build out each chapter, these summaries will be replaced with links to the full guide.
VSEPR Theory & Bond Angles
Valence Shell Electron Pair Repulsion (VSEPR) theory predicts molecular geometry. The basic idea: electron pairs repel each other and arrange themselves to minimize repulsion.
When you toggle "Angles" on a molecule, you see the actual bond angles. These angles are determined by:
- 1.The number of bonding pairs (atoms attached to central atom)
- 2.The number of lone pairs (non-bonding electrons)
Why Angles Vary
4 bonding pairs, 0 lone pairs = perfect tetrahedral
3 bonding pairs, 1 lone pair = compressed angle
2 bonding pairs, 2 lone pairs = further compressed
Lone pairs occupy more space than bonding pairs, pushing bonds closer together.
Lone Pairs
Lone pairs are pairs of valence electrons that don't participate in bonding. They're shown as purple lobes when you toggle "Lone Pairs" on.
Though invisible in a simple molecular formula, lone pairs have profound effects:
- They reduce bond angles by taking up more space than bonding pairs
- They can act as nucleophiles in reactions (donating electrons)
- They determine the molecule's polarity and reactivity
Examples
Oxygen has 2 lone pairs
Nitrogen has 1 lone pair
Carbon has 0 lone pairs
Molecular Polarity
A molecule is polar if it has an uneven distribution of electron density, creating a net dipole moment. Determining polarity requires two steps:
- 1.Are the bonds polar? Compare electronegativities. A difference > ~0.4 means the bond is polar (e.g., O-H has ΔEN = 1.24).
- 2.Does the geometry cancel the dipoles? Symmetric shapes like linear (CO₂) and tetrahedral (CH₄) cancel polar bonds. Asymmetric shapes like bent (H₂O) leave a net dipole.
Polarity determines key physical properties: polar molecules have higher boiling points, dissolve in water (like dissolves like), and interact through dipole-dipole forces and hydrogen bonding.
Polar vs Nonpolar
Bent, dipoles don't cancel
Linear, dipoles cancel
Pyramidal, lone pair asymmetry
Tetrahedral, dipoles cancel symmetrically
Key Rule
Polar bonds + asymmetric geometry = polar molecule. Even very polar bonds (like C=O in CO₂) can produce a nonpolar molecule if the geometry causes the dipoles to cancel. Shape matters as much as bond polarity!
Try it interactively
Visualize bond dipoles and net dipole moments on 9 molecules in our Polarity Explorer.
Intermolecular Forces
Intermolecular forces (IMFs) are attractions between molecules, not the covalent bonds within them. They determine boiling point, solubility, viscosity, and whether a substance is a solid, liquid, or gas at room temperature.
There are three main types, listed from weakest to strongest:
- 1.London Dispersion Forces (LDF) are present in all molecules. Caused by temporary fluctuations in electron density. Stronger for larger, more polarizable molecules.
- 2.Dipole-Dipole Forces occur only in polar molecules. The δ+ end of one molecule attracts the δ− end of another.
- 3.Hydrogen Bonding is a strong type of dipole-dipole force. Requires H bonded to N, O, or F (donor) and a lone pair on N, O, or F (acceptor).
Forces are additive: a molecule that can hydrogen bond also has dipole-dipole and London dispersion forces. The strongest force present dominates the molecule's physical properties.
Force Comparison
LDF + DD + H-bonding
LDF + DD (no H-bond donors)
LDF only (nonpolar)
LDF only (polar bonds cancel)
H-Bonding Checklist
Hydrogen bonding requires both of these:
Donor: H bonded directly to N, O, or F
Acceptor: A lone pair on N, O, or F (on the same or a neighboring molecule)
H bonded to C does not count - that's why formaldehyde has no H-bonding despite having an O atom.
Try it interactively
Identify hydrogen bonding, dipole-dipole, and London dispersion forces on 9 molecules in our IMF Explorer.
Periodic Trends
The periodic table isn't just a list of elements. It's organized so that properties change predictably across rows (periods) and down columns (groups). These patterns arise from how electron shells fill and how the nucleus pulls on valence electrons.
Two forces compete: effective nuclear charge (Z_eff) increases across a period as protons are added while electrons go into the same shell, pulling electrons closer. Meanwhile, adding a new shell down a group increases shielding, pushing valence electrons farther from the nucleus.
Understanding these two forces explains all four major trends: electronegativity, atomic radius, ionization energy, and electron affinity.
The Four Major Trends
How strongly an atom attracts bonding electrons. Increases across a period (higher Z_eff), decreases down a group (more shielding). F is highest (3.98), Cs is lowest (0.79).
The "size" of an atom. Decreases across a period (electrons pulled in by higher Z_eff), increases down a group (new shells added). Cs is the largest common atom, He is the smallest.
Energy to remove the first electron. Increases across a period (harder to pull electrons from a stronger Z_eff), decreases down a group (outer electrons are farther and easier to remove). He is highest (2372 kJ/mol).
Energy released when gaining an electron. Generally increases across a period (atoms "want" to complete their shell) but with many exceptions. Cl has the highest (349 kJ/mol). Noble gases and group 2 elements have ~zero EA.
Across a Period (left to right)
Why: More protons with the same number of shells = stronger pull on valence electrons.
Down a Group (top to bottom)
Why: New electron shells added = more shielding = weaker hold on valence electrons.
Notable Exceptions
Nitrogen (1402 kJ/mol) has a higher IE than oxygen (1314 kJ/mol) despite being to its left. N's half-filled 2p subshell (2p³) is extra stable.
Noble gases have essentially zero EA because their shells are full, so adding an electron goes into a higher, less stable shell.
Chlorine (349 kJ/mol) has a higher EA than fluorine (328 kJ/mol). F is so small that added electron-electron repulsion in its tiny 2p shell reduces its EA.
Try it interactively
See all four trends as heatmap overlays on the full 118-element periodic table.
IUPAC Nomenclature
Every organic molecule needs a unique, systematic name so chemists worldwide can communicate precisely. The IUPAC naming system (International Union of Pure and Applied Chemistry) provides a set of rules that map any structure to one unambiguous name.
Common names like "isobutane" or "neopentane" are still used informally, but they don't scale to the millions of known organic compounds. IUPAC names are constructed from the structure itself, so you can go from name to structure (and back) once you know the rules.
For simple alkanes, naming follows four steps: find the longest carbon chain, number it correctly, name the substituents, and assemble the final name alphabetically.
The Four Steps
Identify the longest continuous chain of carbons - this gives the parent name (propane, butane, pentane, hexane...)
Number so substituents get the lowest possible locants (positions)
Methyl (1C), ethyl (2C), propyl (3C). Use di-, tri- for repeated groups
List substituents alphabetically (ignoring di-/tri-), then append the parent name
Examples
Try it interactively
Learn to name molecules step-by-step with 3D highlights in our Nomenclature Explorer.
Stereochemistry & Chirality
A molecule is chiral if it cannot be superimposed on its mirror image, like your left and right hands. Chirality most commonly arises at a carbon bonded to four different groups, called a stereocenter.
The two mirror-image forms are called enantiomers. They share the same physical properties but interact differently with other chiral molecules, which is why chirality matters in biology and medicine.
Chemists assign each stereocenter an R or S configuration using the Cahn-Ingold-Prelog (CIP) priority rules, based on the atomic numbers of the attached groups.
Key Concepts
An atom (usually carbon) bonded to four different groups, creating a non-superimposable mirror image
Non-superimposable mirror images of each other, like left and right hands
Rank substituents by atomic number; trace 1-2-3 - clockwise = R, counterclockwise = S
Molecules with stereocenters but an internal mirror plane, making them achiral overall
Why It Matters
In medicine: Thalidomide's (R)-enantiomer treated morning sickness, but the (S)-form caused birth defects.
In nature: Nearly all amino acids in living organisms are L-form. Enzymes are chiral and only recognize specific enantiomers.
In everyday life: (R)-limonene smells like oranges, (S)-limonene smells like lemons. Same formula, different arrangement.
Try it interactively
Practice R/S assignment with 3D molecules in our Stereochemistry Explorer.
Point Group Symmetry
Every molecule belongs to a point group that describes its symmetry. The point group is determined by the symmetry elements present in the molecule: planes, axes, and centers of symmetry.
Symmetry matters because it determines many molecular properties: which vibrations are IR or Raman active, how orbitals combine, and even whether a molecule is chiral.
Common Point Groups
Symmetry Elements
When you toggle "Symmetry" on a molecule, you'll see colored planes and axes. Here's what each symbol means:
Mirror Plane
A plane that reflects one half of the molecule onto the other. Subscripts indicate orientation: σv (vertical), σh (horizontal), σd (dihedral).
Rotation Axis
An axis around which the molecule can be rotated by 360°/n and look identical. C2 = 180° rotation, C3 = 120°, C6 = 60°.
Inversion Center
A point where every atom has an identical atom at an equal distance on the opposite side. Present in molecules like benzene and CO2.
Improper Rotation
A rotation followed by reflection through a perpendicular plane. S4 axes are common in tetrahedral molecules.
Ready to explore?
Head to the Molecules page to see these concepts in action. Toggle orbitals, symmetry, angles, and lone pairs to understand each molecule's structure.
Explore Molecules