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Q.

Lattice energy (UV) is defined as change in internal energy when one mole of a solid is converted into one mole of infinitely separated ions in the gas phase at 0 K.
The Born-Lande expression for lattice energy may be represented as

U0=N0AZ+Ze24πε0r011n

where N0 = Avogadro constant

A = Madelung’s constant, which depends upon the geometry of the crystal.
Z+ and Z- are charges on positive and negative ions respectively.
e = charge on electron
r0 = inter ionic distance
n = A constant called Born exponent (often assumed to be equal to 9)
0 = permittivity of vacuum
In the above equation first term deals with attraction between the ions and the second term1n is associated with repulsion.
From the above it becomes clear that lattice energy depends upon
(i) The ionic charges
(ii) The distance between the ions
(iii) Crystal structure

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