How To Find Lattice Energy?

Use the Born-Haber cycle

Write the formation reaction for the ionic compound

Break the reaction into steps: atomization, ionization, electron affinity, and bond dissociation if needed

Apply Hess’s law to relate all steps

Solve for the lattice energy from the energy balance

Use the formula: lattice energy = sum of energies of ion formation and atomization steps minus enthalpy of formation, with sign convention adjusted as needed

Alternatively, use the Born-Landé equation if ionic charges, ionic radii, and crystal structure are known

Use the formula: (U = dfrac{N_A M z^+ z^- e^2}{4pi varepsilon_0 r_0}left(1 – dfrac{1}{n}right))

Identify the correct Madelung constant, ionic charges, internuclear distance, and Born exponent

Substitute the values and calculate the lattice energy

Check the sign convention used in your source, since lattice energy may be reported as positive or negative

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