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      https://www.ias.ac.in/article/fulltext/boms/017/06/0783-0794

    • Keywords

       

      Lattice; diffraction; incommensurate; quasicrystals

    • Abstract

       

      Statistically averaged lattices provide a common basis to understand the diffraction properties of structures displaying deviations from regular crystal structures. An average lattice is defined and examples are given in one and two dimensions along with their diffraction patterns. The absence of periodicity in reciprocal space corresponding to aperiodic structures is shown to arise out of different projected spacings that are irrationally related, when the grid points are projected along the chosen coordinate axes. It is shown that the projected length scales are important factors which determine the existence or absence of observable periodicity in the diffraction pattern more than the sequence of arrangement.

    • Author Affiliations

       

      E S R Gopal1 2 S Baranidharan1 2

      1. National Physical Laboratory, New Delhi - 110 012, India
      2. Department of Physics, Indian Institute of Science, Bangalore - 560 012, India
    • Dates

       
  • Bulletin of Materials Science | News

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