Question

Write Born-Landé equation with meaning of all the terms involved​

Answer 1

Answer:

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.

Explanation:

{\displaystyle E=-{\frac {N_{A}Mz^{+}z^{-}e^{2}}{4\pi \varepsilon _{0}r_{0}}}\left(1-{\frac {1}{n}}\right)}{\displaystyle E=-{\frac {N_{A}Mz^{+}z^{-}e^{2}}{4\pi \varepsilon _{0}r_{0}}}\left(1-{\frac {1}{n}}\right)}

where:

NA = Avogadro constant;

M = Madelung constant, relating to the geometry of the crystal;

z+ = numeric charge number of cation

z− = numeric charge number of anion

e = elementary charge, 1.6022×10−19 C

ε0 = permittivity of free space

4πε0 = 1.112×10−10 C2/(J·m)

r0 = distance to closest ion

n = Born exponent, typically a number between 5 and 12, determined experimentally by measuring the compressibility of the solid, or derived theoretically.