The Born-Lande equation is a mathematical formula used to calculate the lattice energy of an ionic compound, which is the energy released when separate ions come together to form a solid. The equation was developed by Max Born and Alfred Lande in 1918, and it takes into account the charge, sizes, and arrangement of ions in the crystal lattice. The equation can be written as:
ΔHlattice = -k(Q1Q2 / r)
where ΔHlattice is the lattice energy, k is a constant, Q1 and Q2 are the charges of the ions, and r is the distance between the centers of the ions. The equation shows that the lattice energy increases with the magnitude of the ions' charges and decreases with their distance apart. The Born-Lande equation has been widely used in chemical and materials science industries to understand the stability and properties of ionic compounds.
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