softmatter:Van der Waals interaction

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Van der Waals interactions are a type of intermolecular interactions arising from dipoles. There are three types of van der Waals interactions:

  • Keesom interactions, which are a result of permanent dipoles
  • Debye interactions, which are a result of induced dipoles
  • Dispersion (London) interactions, which are a result of fluctuating dipoles.

The total van der Waals interaction is of the form:


 U(r) = -\frac{C}{r^6}

where,

 C = \frac{1}{(4\pi\epsilon_{0})^2} \left[(u_{1}^2\alpha_{02}+u_{2}^2\alpha_{01})+\frac{u_{1}^{2}u_{2}^{2}}{3K_{B}T}+\frac{3\alpha_{01}\alpha_{02}h\nu_{1}\nu_{2}}{2(\nu_{1}+\nu_{2})}\right] .


  • u1 and u2 are the permanent dipole moments of atom/molecules 1 and 2.
  • α0's are the polarizibilities
  • ν's are the ionization frequencies
  • h is Planks constant (6.625 x 10 -34 J\cdots )
  • ε0 is the permittivity of free space (8.8 x 10 -12 C2J-1m-1)


The last term term in C represents dispersion (London) interactions.

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