Bohrn lande equation

1. Born-Lande Equation
Dr. Mithil Fal Desai
Shree Mallikarjun and Shri Chetan Manju
Desai College Canacona Goa
Alfred Lande Max Born

2. Born-Lande equation
U=
𝑁0
𝐴𝑍
+
𝑍
−
𝑒2
4Πε0
𝑟0
(1 −
1
𝑛
)
𝑁0 = Avogadro’s constant 6.023 X 1023
A = Madelung constant (NaCl-1.74756, CsCl-1.76267)
Z+/Z-= Charges on cation & anion
𝜀0 = vacuum permittivity- 8.85 x 10-12 C2 m-1 J-1
𝑒 = fundamental charge- 1.602176634 × 10−19 C
𝑟𝑜 = equilibrium interionic distance in m
n = Born exponent (5 and 12)

3. Born-Lande equation
U∝
𝑍
+
𝑍
−
𝑟0
Crystal Z+ Z- r (Å) U
(kJ/mol)
LiF 1 1 2.01 -1004
CsI 1 1 3.95 -527
MgO 2 2 2.10 -3933

4. Born-Haber cycle and its applications
Max Born Fritz Haber