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Lattice energy is an estimate of the bond strength in ionic compounds. It is defined as the heat of formation for ions of opposite charge in the gasphase to combine into an ionic solid. As an example, the lattice energy of sodium chloride, NaCl, is the energy released when gaseous Na+ and Cl- ions come together to form a lattice of alternating ions in the NaCl crystal.
Lattice energy cannot be determined experimentally due to the difficulty in isolating gaseous ions. The energy value can be estimated using the Born-Haber cycle, or it can be calculated theoretically with an electrostatic examination of the crystal structure.
Factors Affecting Lattice Energy
In 1918, Born and Lande presented the following model for lattice energy:
In this equation, NA is Avogadro's constant; M is the Madelung constant, which depends on the crystal geometry; z+ is the charge number of the cation; z- is the charge number of the anion; e is the elementary charge of the electron; n is the Born exponent, a characteristic of the compressibility of the solid; $\epsilon _o$ is the permittivity of free space; and r0 is the distance to the closest ion.
This model emphasizes two main factors that contribute to the lattice energy of an ionic solid: the charge on the ions, and the radius, or size, of the ions. The effect of those factors is:
as the charge of the ions increases, the lattice energy increases
as the size of the ions increases, the lattice energy decreases
Lattice energies are also important in predicting the solubility of ionic solids in H2O. Ionic compounds with smaller lattice energies tend to be more soluble in H2O.
are correlated with the charge and radius of the component ions, are determined experimentally by isolating gas-phase ions, estimate the strength of covalent bonds, or are described mathematically by the Carnot cycle