Solids: Thermodynamics and Bonding

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· The van der Waals potential is a function of r only, and has the Lennard-Jones form: V(r) = - (A/r6 ) + (B/r12 )
· A may be written in terms of the dipole moments, p, and the polarizability, α, of the atoms: p2 =αE = 2αp1 /r3, where E is the dipole electric field at atom 2 due to the instantaneous dipole on atom 1, so that: (A/r6 ) = (2p1 p2 /r3 ) = (4αp12 /r6 )
· This attractive potential is both short range and weak.
· The repulsive potential is also short range, but increases rapidly as distance decreases.

From: Kittel, "Introduction to Solid State Physics,"
Wiley (1996)