Angular-Dependent Many-Atom Bond-Order Potentials

  • M. Aoki
  • P. Gumbsch
  • D. G. Pettifor
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 114)


The state-of-the-art many-atom potentials for the bond order, which are derived within tight binding Hückel theory, are shown to be promising tools in modeling of the structural properties of materials. Explicit angular dependence of these potentials is naturally derived on the theoretical basis of the exact many-atom expansion theorem for the bond order. It is shown that a good convergence is achieved by satisfying a sum rule for the intersite Green’s function.


Bond Order Tight Binding Atomistic Simulation Interference Term Interatomic Potential 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • M. Aoki
    • 1
    • 2
  • P. Gumbsch
    • 3
    • 4
  • D. G. Pettifor
    • 1
  1. 1.Department of MaterialsUniversity of OxfordOxforUK
  2. 2.Department of PhysicsGifu UniversityYanagido, GifuJapan
  3. 3.Department of MathematicsImperial CollegeLondonUK
  4. 4.Max-Planck-Institut für MetallforschungStuttgartGermany

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