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Scaling of some chemical properties of tetrahedral and octahedral molecules plus almost spherical C and B cages

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Abstract

It is shown that for tetrahedral and octahedral molecules the quantity a R e /N 1/3 is quadratic in the ratio z/N, where R e is the equilibrium bond length, ze is the central charge and N is the total number of electrons. Some scaling properties for the ‘breathing’ force constant k are proposed for a series of 5 tetrachlorides.

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Authors and Affiliations

  1. Department of Physics, University of Antwerp, Antwerp, Belgium

    N. H. March

  2. Oxford University, Oxford, UK

    N. H. March

  3. Department of Theoretical Physics, University of Debrecen, 4010, Debrecen, Hungary

    Á. Nagy

Authors
  1. N. H. March
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  2. Á. Nagy
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Correspondence to Á. Nagy.

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March, N.H., Nagy, Á. Scaling of some chemical properties of tetrahedral and octahedral molecules plus almost spherical C and B cages. J Math Chem 49, 2268–2274 (2011). https://doi.org/10.1007/s10910-011-9885-5

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  • DOI: https://doi.org/10.1007/s10910-011-9885-5

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