AP® Chemistry · Unit 2 · Topic 2.3
Lattice Energy and Coulomb's Law
Lattice energy is the energy released when gaseous ions pack into an ionic solid, and it grows with the product of the ionic charges and shrinks as the ions get farther apart.
An ionic lattice is held together by the electrostatic pull between cations and anions, and that pull follows Coulomb's law: the attraction is proportional to (charge of cation x charge of anion) divided by the distance between their centers. Lattice energy, the energy released when separate gaseous ions come together into a solid crystal, tracks that same ratio. Bigger charges or shorter distances mean a stronger pull, more energy released, and a lattice that is harder to break apart with heat.
Charge and radius both matter, but charge usually wins because it enters as a product, not a sum. Going from a 1+/1- pair to a 2+/2- pair roughly quadruples the charge product, while swapping in an ion one row down the periodic table only stretches the distance by a modest amount. That is why MgO, with 2+ and 2- ions packed close together, has a far larger lattice energy than NaCl, even though both have similar-sized ions. It also explains why a small, highly charged pair like MgO beats a large, singly charged pair like CsI despite CsI's bigger radius sum.
This ties directly to melting point: a stronger lattice needs more thermal energy to pull ions apart, so high lattice energy means high melting point, which is why MgO melts near 2800 C while NaCl melts at 801 C. The same logic carries into solubility. Dissolving an ionic solid means breaking the lattice and replacing those ion-ion attractions with ion-water attractions, so a very high lattice energy can make a salt stubbornly insoluble even when water is eager to surround the ions.
Key terms
- Lattice energy
- The energy released when gaseous cations and anions combine to form one mole of a solid ionic compound.
- Coulomb's law
- The rule that electrostatic attraction is proportional to the product of two charges divided by the distance between them.
- Ionic radius
- The effective size of an ion, which sets how close oppositely charged ions can approach each other.
- Charge product
- The cation charge multiplied by the anion charge, the dominant factor in how strong a lattice is.
Watch it explained
- How it worksHow do ionic charge and ionic radius together set the strength of a lattice?
- Worked exampleCompare the lattice energies of NaF, NaCl, MgO, and CaO and explain the ordering.
- Common mistakeWhy isn't the bigger ion always the one that gives the weaker lattice?
- Ties togetherHow does lattice strength connect to how readily a salt dissolves in water?
Check yourself
End of topic.