Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6

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

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya

a

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

By conceptual
Watch 3-min video & get full concept clarity

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

score_test_img

Get Expert Academic Guidance – Connect with a Counselor Today!

whats app icon
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 asU0=N0A⋅Z+⋅Z−⋅e24πε0r01−1nwhere N0 = Avogadro constantA = 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 electronr0 = inter ionic distancen = A constant called Born exponent (often assumed to be equal to 9)∑0 = permittivity of vacuumIn 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