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The Born–Landé equation is a means of calculating the lattice energy of a crystalline ionic compound. In 1918 [ 1 ] Max Born and Alfred Landé proposed that the lattice energy could be derived from the electrostatic potential of the ionic lattice and a repulsive potential energy term.
n is the Born exponent (a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically). [6] The Born–Landé equation above shows that the lattice energy of a compound depends principally on two factors:
The Born–Mayer equation is an equation that is used to calculate the lattice energy of a crystalline ionic compound. It is a refinement of the Born–Landé equation by using an improved repulsion term.
The Born equation can be used for estimating the electrostatic component of Gibbs free energy of solvation of an ion. It is an electrostatic model that treats the solvent as a continuous dielectric medium (it is thus one member of a class of methods known as continuum solvation methods). It was derived by Max Born. [1] [2]
Alfred Landé was born on 13 December 1888 in Elberfeld, Rhineland, Germany, today part of the city of Wuppertal.. In 1913 Landé was sent by Arnold Sommerfeld, his thesis advisor at the University of Munich, to be a special assistant for physics to David Hilbert at the University of Göttingen, to replace Paul Peter Ewald, whom Sommerfeld had sent to the same position in 1912. [2]
The calculated lattice energy gives a good estimation for the Born–Landé equation; the real value differs in most cases by less than 5%. Furthermore, one is able to determine the ionic radii (or more properly, the thermochemical radius) using the Kapustinskii equation when the lattice energy is known.
The book was originally started by Born in c. 1940, and was finished in the 1950s by Huang in consultation with Born. The text is considered a classical treatise on the subject of lattice dynamics, phonon theory, and elasticity in crystalline solids, but excluding metals and other complex solids with order/disorder phenomena.
Bibliography of Max Born; Born (crater) Born approximation; Max Born Award; Born coordinates; Born equation; Max Born Medal and Prize; Born reciprocity; Born rigidity; Born rule; Born series; Born–Haber cycle; Born–Huang approximation; Born–Infeld model; Born–Landé equation; Born–Oppenheimer approximation; Born–von Karman boundary ...