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

Organic Chemistry

Spectroscopy & Advanced Topics

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

Methane (CH4)109.5°

4 bonding pairs, 0 lone pairs = perfect tetrahedral

Ammonia (NH3)107°

3 bonding pairs, 1 lone pair = compressed angle

Water (H2O)104.5°

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

Water (H2O)

Oxygen has 2 lone pairs

Ammonia (NH3)

Nitrogen has 1 lone pair

Methane (CH4)

Carbon has 0 lone pairs

none

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. 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. 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

Water (H₂O)

Bent, dipoles don't cancel

polar
CO₂

Linear, dipoles cancel

nonpolar
Ammonia (NH₃)

Pyramidal, lone pair asymmetry

polar
Methane (CH₄)

Tetrahedral, dipoles cancel symmetrically

nonpolar

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.

Open 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. 1.London Dispersion Forces (LDF) are present in all molecules. Caused by temporary fluctuations in electron density. Stronger for larger, more polarizable molecules.
  2. 2.Dipole-Dipole Forces occur only in polar molecules. The δ+ end of one molecule attracts the δ− end of another.
  3. 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

Water (H₂O)

LDF + DD + H-bonding

H-bonding
Formaldehyde (CH₂O)

LDF + DD (no H-bond donors)

dipole-dipole
Methane (CH₄)

LDF only (nonpolar)

LDF only
CO₂

LDF only (polar bonds cancel)

LDF only

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.

Open Explorer

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

1.
Find the Longest Chain

Identify the longest continuous chain of carbons - this gives the parent name (propane, butane, pentane, hexane...)

2.
Number from the Correct End

Number so substituents get the lowest possible locants (positions)

3.
Name & Number Substituents

Methyl (1C), ethyl (2C), propyl (3C). Use di-, tri- for repeated groups

4.
Assemble Alphabetically

List substituents alphabetically (ignoring di-/tri-), then append the parent name

Examples

propane3C chain, no substituents
2-methylbutane4C chain + methyl at C2
2,3-dimethylbutane4C chain + 2 methyls

Try it interactively

Learn to name molecules step-by-step with 3D highlights in our Nomenclature Explorer.

Open 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

Stereocenter

An atom (usually carbon) bonded to four different groups, creating a non-superimposable mirror image

Enantiomers

Non-superimposable mirror images of each other, like left and right hands

CIP Priority Rules

Rank substituents by atomic number; trace 1-2-3 - clockwise = R, counterclockwise = S

Meso Compounds

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.

Open 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

C2vWater (H2O), bent molecules with 2 mirror planes
C3vAmmonia (NH3), trigonal pyramidal molecules
TdMethane (CH4), perfect tetrahedral symmetry
D∞hCO2, linear symmetric molecules
D6hBenzene (C6H6), hexagonal planar molecules

Symmetry Elements

When you toggle "Symmetry" on a molecule, you'll see colored planes and axes. Here's what each symbol means:

σ (sigma)

Mirror Plane

A plane that reflects one half of the molecule onto the other. Subscripts indicate orientation: σv (vertical), σh (horizontal), σd (dihedral).

Cn

Rotation Axis

An axis around which the molecule can be rotated by 360°/n and look identical. C2 = 180° rotation, C3 = 120°, C6 = 60°.

i

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.

Sn

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