How it works
This labeled diagram of the Born-Haber cycle follows sodium chloride from its elements to the solid. Arrows that point up take energy in; arrows that point down give energy out. Study the names, then quiz yourself.
Read the full guide
Reading the cycle
Start at the elements in their standard states: solid sodium and chlorine gas. Three steps climb. Sodium becomes gaseous atoms, each atom loses an electron, and chlorine molecules are broken into atoms. Two steps fall. Each chlorine atom gains an electron, then the gaseous ions come together as the solid.
What the cycle is for
Lattice energy cannot be measured directly. By Hess's law the five steps add up to the enthalpy of formation, so the lattice energy is worked out from the other values.
- One mole of sodium chloride needs only half a mole of chlorine gas, which is why three levels read ½Cl₂.
Questions and answers
What is a Born-Haber cycle?
An energy diagram that splits the making of an ionic solid from its elements into steps: atomization, ionization, electron affinity and lattice energy. It applies Hess's law and is used mainly to work out a lattice energy.
What are the steps of the Born-Haber cycle for NaCl?
Atomization of sodium, the first ionization energy of sodium, atomization of chlorine, the electron affinity of chlorine and the lattice energy. Together they add up to sodium chloride's enthalpy of formation.
Which steps of a Born-Haber cycle are exothermic?
For sodium chloride, the electron affinity of chlorine and the lattice energy give energy out, and so does the enthalpy of formation. Atomization and ionization take energy in.
How do you label each step in a Born-Haber cycle?
Read the formulas on the two levels an arrow joins. Solid to gaseous atoms is atomization, an atom losing an electron is ionization energy, an atom gaining one is electron affinity, and gaseous ions to solid is lattice energy.