Calculates the lattice energy of an ionic compound using a simplified Born-Landé equation. This calculator provides an estimate of the energy required to separate one mole of a solid ionic compound into gaseous ions.
Start with your values, or try a preset.
Enter Madelung Constant (A), Ionic Charge of Cation (z+), Ionic Charge of Anion (z-), Interionic Distance (r₀) (pm), and Born Exponent (n) in the units shown.
Read Interionic Distance (m), Permittivity of Free Space, Elementary Charge, Avogadro's Number, and Lattice Energy (U) in the results panel. Results update as you change the inputs.
Choose a preset to load an example, then adjust the values for your situation.
See the inputs and their calculated results.
Madelung Constant (A): 1.74756; Ionic Charge of Cation (z+): 1; Ionic Charge of Anion (z-): -1; Interionic Distance (r₀) (pm): 283 pm; Born Exponent (n): 9
Interionic Distance (m): 0.000000000283 m; Permittivity of Free Space: 0.000000000008854187813 F/m; Elementary Charge: 0.0000000000000000001602176634 C; Avogadro's Number: 602,214,076,000,000,000,000,000 mol⁻¹; Lattice Energy (U): 762.6165634 kJ/mol
Madelung Constant (A): 1.74756; Ionic Charge of Cation (z+): 2; Ionic Charge of Anion (z-): -2; Interionic Distance (r₀) (pm): 210 pm; Born Exponent (n): 7
Interionic Distance (m): 0.00000000021 m; Permittivity of Free Space: 0.000000000008854187813 F/m; Elementary Charge: 0.0000000000000000001602176634 C; Avogadro's Number: 602,214,076,000,000,000,000,000 mol⁻¹; Lattice Energy (U): 3,964.049769 kJ/mol
Madelung Constant (A): 1.74756; Ionic Charge of Cation (z+): 1; Ionic Charge of Anion (z-): -1; Interionic Distance (r₀) (pm): 201 pm; Born Exponent (n): 7
Interionic Distance (m): 0.000000000201 m; Permittivity of Free Space: 0.000000000008854187813 F/m; Elementary Charge: 0.0000000000000000001602176634 C; Avogadro's Number: 602,214,076,000,000,000,000,000 mol⁻¹; Lattice Energy (U): 1,035.386134 kJ/mol
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