Postulate of the Arithmetical Mean and Nonbonded Interactions

  • Yurii. G. Papulov
  • Marina. G. Vinogradova
  • M. N. Saltykova


The postulate of the arithmetical mean for binary interactions of particles is formulated as the relation
$${p_{HX}} = \left( {1/2} \right)\left( {{p_{HH}} + {p_{XX}}} \right)$$
(interaction of unlike particles H and X is equal to one-half of the sum of the interactions of the like particles). Analogously, for ternary interactions
$${p_{HHX}} = \left( {1/3} \right)\left( {2{p_{HHH}} + {p_{XXX}}} \right),{p_{HXX}} = \left( {1/3} \right)\left( {{p_{HHH}} + 2{p_{XXX}}} \right);$$
and, for quaternary interactions
$$\begin{gathered} {p_{HHHX}} = \left( {1/4} \right)\left( {3{p_{HHHH}} + {p_{XXXX}}} \right),{p_{HXXX}} = \left( {1/4} \right)\left( {{p_{HHHH}} + 3{p_{XXXX}}} \right), \hfill \\ {p_{HHXX}} = \left( {1/4} \right)\left( {2{p_{HHHH}} + 2{p_{XXXX}}} \right) \hfill \\ \end{gathered} $$
and so on.


Molecular Chain Effective Interaction Additive Scheme Binary Interaction Ternary Interaction 


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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Yurii. G. Papulov
    • 1
  • Marina. G. Vinogradova
    • 1
  • M. N. Saltykova
    • 1
  1. 1.Tver State UniversityRussia

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