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9701 A Level Chemistry/ Topic 23 Chemical energetics (A Level)/ 6 interactive simulations/ drag to rotate 3D scenes

Chemical energetics (A Level), made interactive

Six simulations covering Topic 23: a Born-Haber cycle for NaCl, MgCl₂, MgO or CaO built one enthalpy step at a time, with any term set as the unknown and solved; every term in the cycle defined in 3D, from atomisation to lattice energy; three ionic lattices side by side to see how charge and radius set the lattice energy; the solution cycle that links lattice energy and hydration enthalpies to the enthalpy of solution, and why hydration enthalpy follows charge density; a particle view of entropy with the sign of ΔS predicted and then calculated from standard entropies; and the Gibbs equation as a straight line against temperature, with the temperature at which a reaction becomes feasible.

1. Born-Haber cycle builder 2D · 23.1

A lattice energy cannot be measured directly, so it is found by going the long way round: turn the elements into gaseous ions one step at a time, then let the ions fall into the lattice. Hess's law says the total must equal the enthalpy of formation. Build the cycle for one compound, decide which term is the unknown, and let the diagram close.

Compound

Unknown term

STEP
EQUATION FOR THIS STEP
SOLVED
Exam point: lattice energy is defined as the enthalpy change when one mole of an ionic compound is formed from its gaseous ions under standard conditions, so it is always negative. Write the Hess equation as ΔHf = Σ(atomisation + ionisation + electron affinity terms) + ΔHlatt and rearrange for the unknown. All values in kJ mol−1.

2. The steps, defined 3D · 23.1

Every arrow in a Born-Haber cycle has a definition that the exam expects word for word. Pick a term and watch the change it describes: a metal lattice breaking into single atoms, a molecule splitting, an electron leaving or arriving, and finally gaseous ions collapsing into a crystal.

drag to rotate · wheel to zoom

Compound

Term

VALUE
EQUATION
DEFINITION
Exam point: atomisation enthalpy is defined per mole of gaseous atoms formed, so for chlorine the equation starts with ½Cl₂(g). Ionisation energies and electron affinities are defined per mole of gaseous atoms or ions. Second electron affinity is endothermic because an electron is being pushed onto an ion that is already negative.

3. Charge and size 3D · 23.1

Lattice energy is electrostatic: the attraction between ions grows with the charges and shrinks as the ions get larger and their centres move apart. Compare three rock-salt lattices drawn with the real ionic radii and read the lattice energies beside them.

drag to rotate · wheel to zoom

Compare

Focus

LATTICE ENERGY
CHARGES
CATION RADIUS
ANION RADIUS
ION SEPARATION r+ + r−
Exam point: to explain a difference in lattice energy, name both factors and say which one is changing. Higher charge gives stronger attraction; a smaller ion lets the charges sit closer together. Radii are Shannon ionic radii in nm; lattice energies are from Born-Haber cycles, in kJ mol−1.

4. The solution cycle 2D · 23.1

Dissolving an ionic solid is a tug of war. Energy must be supplied to pull the lattice apart, and energy is released when each gaseous ion is surrounded by water molecules. The enthalpy of solution is the difference. Pick a salt to see the triangle, then switch to the hydration view to see why small, highly charged ions release the most.

View

Salt

LATTICE ENERGY
ΔHhyd CATION
ΔHhyd ANION
ΔHsol
Exam point: ΔHsol = −ΔHlatt + ΣΔHhyd. Hydration enthalpy is the enthalpy change when one mole of gaseous ions is dissolved in water to form an infinitely dilute solution; it is always negative, and its size rises with ionic charge and falls with ionic radius. Values in kJ mol−1, standard teaching data.

5. Entropy, in particles 2D · 23.2

Entropy measures how many ways the particles and their energy can be arranged. Gases have far more ways than liquids, and liquids more than solids, so any change that frees particles or makes more gas molecules has a positive ΔS. Predict the sign from the picture, then check it with standard entropy data.

Change

ΔS° OF THE SYSTEM
PREDICTION FROM THE PICTURE
ΔS° = ΣS°(products) − ΣS°(reactants)
Exam point: standard entropies S° are in J K−1 mol−1, not kJ, so divide by 1000 before combining with ΔH in the Gibbs equation. Multiply each S° by its coefficient in the equation. Count gas moles on each side first: more gas on the right means ΔS is almost certainly positive.

6. Gibbs and temperature 2D · 23.3

A reaction is feasible when ΔG = ΔH − TΔS is negative. Plot ΔG against T and the equation is a straight line with intercept ΔH and gradient −ΔS, so the sign of ΔS decides whether heating helps or hinders. Drag the sliders, or load a real reaction, and find the temperature where the line crosses zero.

Reaction

+178
+161
298
ΔG AT T
FEASIBLE AT T
CROSSING TEMPERATURE (ΔG = 0)
Exam point: ΔG = ΔH − TΔS with ΔS converted to kJ K−1 mol−1. At the crossing temperature ΔG = 0, so T = ΔH / ΔS. Feasible does not mean fast: a reaction with negative ΔG may still have a large activation energy. The sliders assume ΔH and ΔS do not change with temperature.
TheLucidSTEM · Cambridge International A Level Chemistry 9701 · Topic 23 Chemical energetics (A Level). Every scene runs in the browser; drag to rotate 3D scenes, wheel to zoom. Values are standard textbook data rounded for teaching.

About this lab: Chemical energetics (A Level)

Six interactive simulations for Cambridge A Level Chemistry 9701 topic 23 Chemical energetics: a Born-Haber cycle builder for sodium chloride, magnesium chloride, magnesium oxide and calcium oxide that draws the energy-level diagram step by step from real data and solves whichever term you set as the unknown, 3D definitions of atomisation enthalpy, ionisation energy, electron affinity, lattice energy and enthalpy of formation, a three-lattice comparison showing how ionic charge and ionic radius control the size of the lattice energy, a solution cycle giving the enthalpy of solution from lattice energy and hydration enthalpies with a charge-density view of hydration, an animated particle picture of entropy change with standard entropy calculations, and a Gibbs free energy line against temperature with the crossing temperature for calcium carbonate decomposition.

Six simulations covering Topic 23: a Born-Haber cycle for NaCl, MgCl₂, MgO or CaO built one enthalpy step at a time, with any term set as the unknown and solved; every term in the cycle defined in 3D, from atomisation to lattice energy; three ionic lattices side by side to see how charge and radius set the lattice energy; the solution cycle that links lattice energy and hydration enthalpies to the enthalpy of solution, and why hydration enthalpy follows charge density; a particle view of entropy with the sign of ΔS predicted and then calculated from standard entropies; and the Gibbs equation as a straight line against temperature, with the temperature at which a reaction becomes feasible.

Chemical energetics (A Level) is a free, browser-based simulation for Cambridge International AS & A Level Chemistry 9701 (topic 23 Chemical energetics, sections 23.1 Lattice energy and Born–Haber cycles, 23.2 Enthalpies of solution and hydration, 23.3 Entropy change, ΔS). The course is assessed in Paper 1 (Multiple Choice (AS)), Paper 2 (AS Structured), Paper 3 (Advanced Practical), Paper 4 (A Level Structured), Paper 5 (Planning, Analysis, Evaluation). Syllabus for examination in 2025-2027. There are 6 tabs, each a self-contained experiment with its own controls and live readings, and nothing to install: it runs on a laptop, tablet or classroom projector.

Syllabus coverage

Full syllabus map: A Level Chemistry 9701 topic 23.

How to use this simulation

  1. 1. Born-Haber cycle builder. A lattice energy cannot be measured directly, so it is found by going the long way round: turn the elements into...
  2. 2. The steps, defined. Every arrow in a Born-Haber cycle has a definition that the exam expects word for word.
  3. 3. Charge and size. Lattice energy is electrostatic: the attraction between ions grows with the charges and shrinks as the ions get larger...
  4. 4. The solution cycle. Dissolving an ionic solid is a tug of war.
  5. 5. Entropy, in particles. Entropy measures how many ways the particles and their energy can be arranged.
  6. 6. Gibbs and temperature. A reaction is feasible when ΔG = ΔH − TΔS is negative.
  7. The buttons at the end of the tab strip give the scene the whole window (Full screen, Hide controls) and, on a dark stage, a projector-friendly palette (Light scene). Many scenes also have drag handles: drag them to change the set-up directly.

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