Systematic Analysis of Many-Body Interactions in Molecular Solids. Jansen, L. Physical Review, 125(6):1798--1804, March, 1962. 00089
Systematic Analysis of Many-Body Interactions in Molecular Solids [link]Paper  doi  abstract   bibtex   
An analysis is undertaken of the different possible types of simultaneous interactions between more than two atoms or molecules in so-called molecular solids. The analysis is carried out on the basis of a double series expansion: (1) in terms of linked exchange-clusters of increasing numbers of atoms; (2) as a series in increasing orders of perturbation theory. The use of a multiple series for the electrostatic interactions between different atoms is avoided by retaining this interaction in unexpanded form. Instead, an effective-electron model is used with a Gaussian form for the charge distributions. The method is illustrated by computing the exchange quadrupole moment of two argon atoms as a function of their distance. Calculations by Rosen and by Shostak for first-order interactions between three helium atoms are extended to atoms of the heavy rare gases. It is found that the relative magnitude of this many-body effect may amount to 20% of the first-order interaction energy. Possible implications with respect to stability of the cubic structures of heavy rare-gas crystals are briefly discussed.
@article{ jansen_systematic_1962,
  title = {Systematic {Analysis} of {Many}-{Body} {Interactions} in {Molecular} {Solids}},
  volume = {125},
  url = {http://link.aps.org/doi/10.1103/PhysRev.125.1798},
  doi = {10.1103/PhysRev.125.1798},
  abstract = {An analysis is undertaken of the different possible types of simultaneous interactions between more than two atoms or molecules in so-called molecular solids. The analysis is carried out on the basis of a double series expansion: (1) in terms of linked exchange-clusters of increasing numbers of atoms; (2) as a series in increasing orders of perturbation theory. The use of a multiple series for the electrostatic interactions between different atoms is avoided by retaining this interaction in unexpanded form. Instead, an effective-electron model is used with a Gaussian form for the charge distributions. The method is illustrated by computing the exchange quadrupole moment of two argon atoms as a function of their distance. Calculations by Rosen and by Shostak for first-order interactions between three helium atoms are extended to atoms of the heavy rare gases. It is found that the relative magnitude of this many-body effect may amount to 20% of the first-order interaction energy. Possible implications with respect to stability of the cubic structures of heavy rare-gas crystals are briefly discussed.},
  number = {6},
  urldate = {2014-07-17TZ},
  journal = {Physical Review},
  author = {Jansen, Laurens},
  month = {March},
  year = {1962},
  note = {00089},
  pages = {1798--1804}
}
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