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Lattice Energy Calculator | Free Born-Landé Equation Tool

Calculate lattice energy using the Born-Landé equation. Free online tool for determining ionic bond strength, compound stability, and physical properties.

Lattice Energy Calculator

Calculate the lattice energy of ionic compounds using the Born-Landé equation. Enter the ion charges, radii, and Born exponent to determine the lattice energy.

Input Parameters

Cation Charge (z₁)*

Anion Charge (z₂)*

Cation Radius (r₁)*

Anion Radius (r₂)*

Born Exponent (n)*

Results

Interionic Distance (r₀):0.00 pm

Lattice Energy (U):

0.00 kJ/mol

The lattice energy represents the energy released when gaseous ions combine to form a solid ionic compound. More negative values indicate stronger ionic bonds.

Ionic Bond Visualization

Calculation Formula

The lattice energy is calculated using the Born-Landé equation:

U = -N₀A|z₁z₂|e²/4πε₀r₀(1-1/n)

Where:

U = Lattice Energy (U) (kJ/mol)
N₀ = Avogadro Number (6.022 × 10²³ mol⁻¹)
A = Madelung Constant (1.7476 for NaCl Structure)
z₁ = Cation Charge (z₁) (1)
z₂ = Anion Charge (z₂) (-1)
e = Elementary Charge (1.602 × 10⁻¹⁹ C)
ε₀ = Vacuum Permittivity (8.854 × 10⁻¹² F/m)
r₀ = Interionic Distance (r₀) (0.00 pm)
n = Born Exponent (n) (9)

Substituting the values:

U = 0.00 kJ/mol

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Lattice Energy Calculator | Free Born-Landé Equation Tool