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2.3 Basic structure types
Lattice energy of a ionic structure
1) Set the first derivative of the sum to zero
2) Substitute B-parameter of repulsive part
2
z
e
0
.(V AB Born ) 0 z 0 N 1 ( 1 )
Min
A
V
L
4
r
n
L
0
-1
• typical values, measured (calculated) [kJ mol ]:
• NaCl: –772 (-757); CsCl: -652 (-623)
• measured means by Born Haber cycle (later)
• fraction of Coulomb interaction at r : ~ 90%
0
• missing in our lattice energy calculations:
• zero point energy
• dipole-dipole interaction
• covalent contributions, example: AgCl: -912 (-704)