RevisionPrep FAQ
IB Chemistry Born–Haber Cycles (HL): The Complete FAQ
Answered by RevisionPrep's IB Educators
Born–Haber cycles trip up more HL students than any other Reactivity 3 topic, mostly because of sign errors and messy diagrams. Here's what actually matters for the exam, taught the way I'd walk a student through it in a revision session, plus where marks are really lost.
The Core Concept
Born–Haber cycles: what do you actually need to know for IB Chemistry?
You need to construct and use a Born–Haber cycle to find an unknown enthalpy change — usually lattice enthalpy — by applying Hess's Law to a sequence of steps: atomisation, ionisation, electron affinity, and formation. According to the IB Chemistry guide (first exams 2025), this sits under Reactivity 3.1 at HL only.
The five enthalpy terms you must know cold:
- Enthalpy of atomisation — one mole of gaseous atoms from the element in its standard state (always endothermic).
- First/second ionisation energy — removing electrons from gaseous atoms (endothermic).
- Electron affinity — first is usually exothermic, second is always endothermic (repulsion into a negative ion).
- Lattice enthalpy — gaseous ions forming solid ionic lattice (exothermic; the reverse, lattice dissociation, is endothermic and often what's asked for).
- Enthalpy of formation — element in standard state to compound (usually exothermic).
Quick tip: draw the cycle with elements at the bottom and ions at the top — it makes the arrow directions almost automatic.
What's the difference between lattice enthalpy of formation and lattice dissociation?
Lattice enthalpy of formation is gaseous ions combining into a solid lattice — always exothermic, negative value. Lattice dissociation enthalpy is the reverse — solid lattice breaking into gaseous ions — always endothermic, positive value. IB data booklets and exam questions sometimes give one, sometimes ask you to find the other, so check the sign every time.
Common mistake: students memorise a lattice enthalpy value from a past question and reuse the wrong sign in a new cycle. Always check whether the question states 'formation' or 'dissociation' before plugging a number in — this single slip costs a mark almost every session I mark.
How do you actually draw a Born–Haber cycle diagram?
Start with the elements in their standard states at the bottom left, draw a direct arrow to the compound (enthalpy of formation), then build an indirect path up through atomisation, ionisation, electron affinity and lattice formation back down to the compound. Hess's Law then lets you equate the two routes.
Steps for NaCl(s):
- Na(s) → Na(g): atomisation, +107 kJ/mol
- Na(g) → Na⁺(g): 1st ionisation energy, +496 kJ/mol
- ½Cl₂(g) → Cl(g): atomisation, +122 kJ/mol
- Cl(g) → Cl⁻(g): 1st electron affinity, −349 kJ/mol
- Na⁺(g) + Cl⁻(g) → NaCl(s): lattice enthalpy, −787 kJ/mol
- Sum of steps 1–5 = ΔHf of NaCl = −411 kJ/mol (matches the direct route).
How do you calculate an unknown value using a Born–Haber cycle?
Add up every known enthalpy change around the indirect route, set that sum equal to the enthalpy of formation (the direct route), then solve algebraically for the missing value — usually lattice enthalpy. Get your signs right first; the arithmetic itself is simple GCSE-level addition and subtraction.
Worked example: Find the lattice enthalpy of MgO given: atomisation of Mg = +148, atomisation of O = +249, 1st IE Mg = +738, 2nd IE Mg = +1451, 1st EA O = −141, 2nd EA O = +798, ΔHf(MgO) = −602 kJ/mol.
Sum known steps: 148 + 249 + 738 + 1451 − 141 + 798 = 3243 ΔHf = sum of known steps + lattice enthalpy −602 = 3243 + LE LE = −602 − 3243 = −3845 kJ/mol
Exam Technique & Common Mistakes
Why do students lose marks on Born–Haber cycle questions?
The three biggest losses I see marking mocks are: wrong sign on electron affinity or lattice enthalpy, forgetting to double an ionisation energy or atomisation value for a formula with a coefficient of two, and drawing arrows in the wrong direction so the algebra falls apart. None of these are conceptual gaps — they're carelessness under time pressure.
Checklist before you submit an answer:
- Have you used the right number of moles for each species (e.g. ½O₂ for one oxygen atom)?
- Does every exothermic arrow point down and endothermic point up on your diagram?
- Have you included both first and second ionisation energy/electron affinity for group 2 metals or oxygen?
- Does your final equation actually equal the enthalpy of formation you were given?
Why does theoretical lattice enthalpy differ from the Born–Haber (experimental) value?
Theoretical lattice enthalpy (from an ionic model, purely electrostatic) assumes perfectly spherical ions with no covalent character. The Born–Haber experimental value includes real polarisation effects, so a big gap between the two — as with silver halides — signals covalent character in what you'd otherwise call an ionic bond.
This comparison is a favourite HL exam angle: examiners ask you to explain why the experimental (Born–Haber) lattice enthalpy of AgCl is more exothermic than the theoretical value. The answer is polarisation of the large Cl⁻ ion by the small, highly charged Ag⁺ ion, giving partial covalent character — a Fajans' rules argument worth having ready.
Do I need Born–Haber cycles for SL Chemistry too?
No — Born–Haber cycles are HL-only content under Reactivity 3.1 in the current IB Chemistry guide. SL students study Hess's Law and enthalpy cycles more generally but are never examined on the full ionic-compound cycle with ionisation energy and electron affinity terms.
| Aspect | SL Chemistry | HL Chemistry |
|---|---|---|
| Hess's Law cycles | Yes, general | Yes, general |
| Born–Haber cycles | Not examined | Examinable (Reactivity 3.1) |
| Lattice enthalpy calculations | No | Yes |
| Typical exam weighting | — | Paper 2, often 6–9 marks |
What command terms come up in Born–Haber exam questions?
Expect 'construct', 'calculate', 'define', 'explain' and 'compare' — construct asks you to build the actual cycle diagram or equation, calculate wants a numerical answer with correct units and sign, and explain/compare usually targets the theoretical-versus-experimental lattice enthalpy discussion involving ionic versus covalent character.
'Define' questions (e.g. define lattice enthalpy) need the full formal wording — one mole of gaseous ions forming one mole of solid ionic lattice under standard conditions — partial definitions lose marks even if the idea is right.
Study Strategy
How should I revise Born–Haber cycles for the IB exam?
Practise drawing the cycle from a blank page for three or four different compounds — NaCl, MgO, CaBr2 — until the arrow directions and mole ratios are automatic, then move to past-paper calculations. Timed practice matters more than re-reading notes; this is an arithmetic-under-pressure topic, not a memorisation one.
3 things to check before your next mock:
- Can you state all five enthalpy definitions without looking them up?
- Can you build a cycle for a compound with a 2:1 or 1:2 ratio (like MgCl₂) without help?
- Can you explain, in two sentences, why an experimental lattice enthalpy might differ from a theoretical one?
On RevisionPrep, the Reactivity 3 topical worksheets group these calculations by compound type so you can drill the pattern rather than jumping between random past-paper questions.
Is the Born–Haber cycle hard compared to other HL Chemistry topics?
It's more mechanical than conceptually hard — most students who struggle are making sign or arithmetic slips, not misunderstanding the chemistry. Compared to something like acid-base equilibria or organic mechanisms, Born–Haber cycles reward careful, repeatable practice rather than deep theoretical insight, which makes them a genuinely gettable set of marks with enough drilling.
| Topic | Conceptual difficulty | Main mark-loss risk |
|---|---|---|
| Born–Haber cycles | Moderate | Sign/arithmetic errors |
| Acid-base equilibria | High | Misapplying Ka/Kb logic |
| Organic mechanisms | High | Missing curly arrows/detail |
| Energetics (Hess's Law, general) | Low-moderate | Unit/sign errors |
Are Born–Haber cycles worth a lot of marks in IB Chemistry exams?
Yes — Born–Haber questions typically appear in Paper 2 as a structured 6-9 mark question, sometimes paired with a theoretical-versus-experimental lattice enthalpy discussion worth further marks. For a student aiming at grade 6 or 7 at HL, this is a reliably practisable topic rather than one where marks are unpredictable.
Because it's calculation-based rather than requiring extended written analysis, it's one of the more time-efficient topics for your child to secure marks on in Paper 2, provided the sign conventions have actually been drilled beforehand rather than just read over once.
SL vs HL Chemistry: Born–Haber Cycle Coverage
| Aspect | SL Chemistry | HL Chemistry |
| Syllabus reference | Not included | Reactivity 3.1 |
| Full cycle construction | No | Yes |
| Lattice enthalpy calculations | No | Yes |
| Typical Paper 2 marks | — | 6–9 marks |
For step-by-step Born–Haber worked examples and topic-sorted practice questions, see the Reactivity 3 revision notes and topical worksheets on revisionprep.com.
