IB Chemistry SL Topic 3 — Classifying the Elements Paper 1 & 2 Core skill ~11 min read

Oxidation States

An oxidation state is a piece of accounting. It is the charge an atom would have if every bond in the compound were completely ionic — a pretence, but an extremely useful one. It lets you see at a glance which atoms have gained electrons and which have lost them, even in reactions where nothing looks like an ion at all.

📚 What you need to know

What it actually means

Take water. The O–H bonds are covalent — the electrons are shared, not transferred. But oxygen is much more electronegative than hydrogen, so it takes the larger share. Now pretend the sharing was total: oxygen would have grabbed both bonding pairs, giving it a charge of –2, and each hydrogen would be left at +1.

Those are the oxidation states: O = –2, H = +1. Nobody is claiming water contains ions. It is a deliberate simplification that makes electron movement visible.

The rule underneath every fixed value is the same: in any bond, the more electronegative atom is assigned the negative oxidation state. Everything else follows from that.

The rules

RuleExample
An uncombined element is 0Na, O2, P4, Cl2 → all 0
A monatomic ion equals its chargeMg2+ = +2, S2– = –2
Group 1 = +1, Group 2 = +2, F = –1In KBr, K = +1
Hydrogen = +1, but –1 in metal hydridesHCl: H = +1; NaH: H = –1
Oxygen = –2, but –1 in peroxides and +2 in OF2H2O: O = –2; H2O2: O = –1
A neutral compound sums to 0NaCl: (+1) + (–1) = 0
A polyatomic ion sums to its chargeNO3: sums to –1
The more electronegative atom takes the negative valueOF2: F = –1, so O = +2
Notice the pattern in the exceptions. Hydrogen goes negative only when bonded to something less electronegative (a metal). Oxygen goes positive only when bonded to fluorine, the one element that beats it.

Working out an unknown

You are almost never asked for a value you have memorised. You are asked for the one that is left over — and there is a reliable method.

🧩 Finding an unknown oxidation state

  1. Write down the fixed values first — usually oxygen at –2 and hydrogen at +1.
  2. Multiply each by the number of those atoms in the formula.
  3. Set the total equal to 0 for a neutral compound, or to the charge for an ion.
  4. Solve for the unknown. Divide by the number of those atoms if there is more than one.
  5. Write it with the sign in front: +6, not 6.
WORKED EXAMPLE

Deduce the oxidation state of nitrogen in the nitrate ion, NO3.

Fixed value: oxygen is −2, and there are 3 3 × (−2) = −6 The total must equal the ion’s charge, −1 N + (−6) = −1 N = +5
WORKED EXAMPLE

Deduce the oxidation state of chromium in the dichromate ion, Cr2O72–.

Oxygen is −2, and there are 7 7 × (−2) = −14 Total must equal −2 2Cr + (−14) = −2, so 2Cr = +12 Cr = +6 Two chromium atoms share the +12, so divide — a very common slip.
WORKED EXAMPLE

Deduce the oxidation state of oxygen in hydrogen peroxide, H2O2.

Hydrogen is +1, and there are 2 2 × (+1) = +2 Neutral compound, so the total is 0 2O + (+2) = 0, so 2O = −2 O = −1 This is the peroxide exception — and here the maths proves it rather than you having to remember it.

Spotting oxidation and reduction

Once you can assign oxidation states, redox becomes obvious. Compare each element before and after:

THE OXIDATION NUMBER LINE-4-3-2-10+1+2+3+4+5+6+7OXIDATION — loses electrons, number goes UPREDUCTION — gains electrons, number goes DOWNFe²⁺ → Fe³⁺an element is oxidised if its oxidation state increases — no exceptions
Direction along the line is the whole test: right is oxidation, left is reduction, whatever the sign of the numbers.
WORKED EXAMPLE

In Cl2 + 2KBr → 2KCl + Br2, identify what has been oxidised and what has been reduced.

Chlorine: element → chloride 0 → −1, a decrease chlorine is reduced Bromine: bromide → element −1 → 0, an increase bromide is oxidised Potassium stays at +1 throughout — a spectator ion.

Naming with oxidation states

Transition metals can have more than one oxidation state, so the name has to say which one. That is what the Roman numerals in Stock notation are for.

FormulaMetal’s oxidation stateName
FeO+2iron(II) oxide
Fe2O3+3iron(III) oxide
Cu2O+1copper(I) oxide
KMnO4+7potassium manganate(VII)
K2Cr2O7+6potassium dichromate(VI)

The Roman numeral is always positive and has no sign, and it refers to that one element, not to the whole compound. Non-metals are usually named with prefixes instead — SO2 is sulfur dioxide, not sulfur(IV) oxide.

Can oxidation states be fractions?

Occasionally the maths gives you something like +2.5. That does not mean half an electron has moved. It means the atoms of that element are in different environments within the ion, and the value you calculated is the average across them. A single atom always has a whole-number oxidation state.

💡 Exam tip

⚠️ Common mix-up

That completes Classifying the Elements: The Periodic Table. You started with a grid of 118 boxes and finished able to predict an element’s size, reactivity, oxide and electron bookkeeping from its position alone — which is exactly what the table was built to let you do.

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