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VOLUME 60 (1994) | ISSUE 10 | PAGE 706
Electrostatic energy of a multicomponent icosahedral quasicrystal with a basis in the case of a substitutional disorder
A study is made of the effect of a substitutional disorder on the electrostatic energy of a multicomponent icosahedral quasicrystal whose structure is a decorated Amman-McKay network. In the absence of a short-range order, taking an average of fluctuations of the ion charges leads to an average valence in the final expression for the electrostatic energy. The general analytic expression derived here is convenient for finding the Madelung constant of decorated Amman-McKay networks. © 1994 American Institute of Physics.