Formula Units

A formula unit is the smallest whole-number ratio of cations to anions in an ionic compound, like one Na⁺ paired with one Cl⁻ in NaCl. It describes a repeating ratio in a crystal lattice, not a discrete particle, which is why ionic compounds get formula units while molecular compounds get molecules.

Verified for the 2027 AP Chemistry examLast updated June 2026

What is Formula Units?

A formula unit is the simplest collection of ions you can use to write an ionic compound's formula. NaCl means one Na⁺ for every one Cl⁻. CaF₂ means one Ca²⁺ for every two F⁻. The key idea is that this is a ratio, not an actual freestanding particle. There's no single 'NaCl molecule' floating around. Instead, an ionic solid is a giant 3D lattice of alternating cations and anions, and the formula unit just tells you the recipe that repeats throughout the whole crystal.

The AP CED (1.3.A.1) draws this line directly. Some pure substances are made of individual molecules (like H₂O or CO₂), while others consist of atoms or ions held together in fixed proportions described by a formula unit. That fixed proportion is the law of definite proportions in action. Any pure sample of NaCl, anywhere, always has the same mass ratio of sodium to chlorine because the formula unit never changes.

Why Formula Units matters in AP Chemistry

Formula units live in Unit 1 (Atomic Structure and Properties), specifically Topics 1.3 and 1.4. Learning objective AP Chem 1.3.A asks you to connect elemental composition by mass to the empirical formula of a pure substance, and for ionic compounds, the empirical formula is the formula unit. Learning objective AP Chem 1.4.A then uses formula units to define purity itself. Per 1.4.A.1, a pure substance contains only one type of atom, molecule, or formula unit, while a mixture contains two or more types in proportions that can vary. So this little term is doing double duty. It explains how ionic compounds are built, and it gives you the vocabulary to argue whether a sample is pure. It also sets up Unit 2, where you'll explain why ionic compounds form lattices instead of molecules.

How Formula Units connects across the course

Empirical Formula (Unit 1)

For an ionic compound, the formula unit and the empirical formula are the same thing. Both give the lowest whole-number ratio of particles. That's why ionic formulas are always already reduced; you'll never write Na₂Cl₂.

Pure Substances and Mixtures (Unit 1)

The CED defines purity using formula units. A sample of pure Na₂SO₄ contains only one type of formula unit, so it's a pure substance even though it has three different elements in it. Three elements does not mean mixture.

Law of Definite Proportions (Unit 1)

Because the formula unit is a fixed ratio, every pure sample of an ionic compound has the same mass ratio of its elements. A sample with Cu and S in a perfect 1:1 ratio throughout behaves like a compound (CuS), not a mixture, because mixtures can vary in proportion.

Ionic Compound (Unit 2)

Unit 2 explains the structure behind the term. Ionic compounds form extended lattices held by Coulombic attraction, which is exactly why they have no discrete molecules and need the formula-unit ratio instead.

Is Formula Units on the AP Chemistry exam?

Formula units show up most in multiple-choice questions about classifying matter. A classic stem gives you a sample like Na₂SO₄ made of 'only one type of particle' and asks whether it's a pure substance or a mixture (it's pure, one type of formula unit). Another favorite gives you a sample with a perfect fixed ratio of two elements, like Cu and S in 1:1, and asks for the best conclusion (it's a compound, since mixtures have variable proportions). You may also be asked which properties distinguish molecular substances from ionic ones built from formula units. Things like melting point and electrical conductivity when molten work; properties that don't depend on bonding type don't. No released FRQ has demanded the term verbatim, but FRQs on empirical formulas and particle-level diagrams assume you know that ionic compounds come in formula units, not molecules.

Formula Units vs Molecule

A molecule is a real, discrete particle with atoms covalently bonded together, like one H₂O. A formula unit is just the simplest repeating ratio of ions in an endless lattice. You can point at one water molecule; you can't point at one 'NaCl molecule' because the crystal is a continuous network of Na⁺ and Cl⁻ ions. Rule of thumb for the exam is covalent compounds get molecules, ionic compounds get formula units.

Key things to remember about Formula Units

  • A formula unit is the lowest whole-number ratio of cations to anions in an ionic compound, like 1:2 in CaF₂.

  • Ionic compounds don't form molecules; they form extended lattices, so the formula unit describes a repeating ratio rather than a discrete particle.

  • For ionic compounds, the formula unit and the empirical formula are the same thing, since ionic formulas are always written in lowest terms.

  • A pure substance contains only one type of atom, molecule, or formula unit, so a compound like Na₂SO₄ is pure even though it contains multiple elements.

  • Because formula units are fixed ratios, the law of definite proportions guarantees that every pure sample of an ionic compound has the same elemental mass ratio.

  • If a sample's elemental proportions can vary, it's a mixture; if the ratio is fixed everywhere in the sample, it's a compound described by a single formula unit.

Frequently asked questions about Formula Units

What is a formula unit in AP Chem?

It's the smallest whole-number ratio of cations to anions in an ionic compound, like one Na⁺ to one Cl⁻ in NaCl. The CED (1.3.A.1) uses it to describe pure substances made of ions held together in fixed proportions.

Is a formula unit the same as a molecule?

No. A molecule is an actual discrete particle held together by covalent bonds, like H₂O. A formula unit is just the repeating ion ratio in an ionic lattice, so there is no single 'NaCl molecule' you could isolate.

Is NaCl a molecule or a formula unit?

NaCl is a formula unit. Solid sodium chloride is a giant lattice of alternating Na⁺ and Cl⁻ ions, and NaCl simply records the 1:1 ratio that repeats throughout the crystal.

Is a compound made of formula units a pure substance or a mixture?

It's a pure substance, as long as the sample contains only one type of formula unit. Na₂SO₄ has three elements, but every particle is the same formula unit, so it's pure. Mixtures contain two or more types of particles in proportions that can vary.

How is a formula unit different from an empirical formula?

An empirical formula is the lowest whole-number atom ratio for any compound, molecular or ionic. A formula unit is specifically the ion ratio in an ionic compound, and for ionic compounds the two are identical. The difference matters for molecular compounds, where the molecular formula (like C₆H₁₂O₆) can be a multiple of the empirical formula (CH₂O).