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      https://www.ias.ac.in/article/fulltext/pram/048/04/0859-0870

    • Keywords

       

      Pentagonal point groups; quasicrystals; spherical and surface harmonics; Euler angles, induced representations

    • Abstract

       

      Surface harmonics for the seven pentagonal point groups 5(C5), {ie859-1}(S10), {ie859-2}(C5h), {ie859-3}m2(D5h), {ie859-4} 2(D5), 5m(C5v) and 5 2m(D5d) that represent the symmetries of quasicrystals in two and three dimensions are obtained, employing the projection operator method [11] and the simplified (authors) method. The results obtained are tabulated and are briefly discussed.

    • Author Affiliations

       

      K Rama Mohana Rao1 P Hemagiri Rao1 2 V Satyavathi1 3

      1. Department of Applied Mathematics, Andhra University, Visakhapatnam - 530 003, India
      2. Department of Mathematics, Bapatla Engineering College, Bapatla - 522 101, India
      3. Department of Applied Mathematics, A.U.P.G. Centre, Nuzvid - 521 201, India

    • Dates

       
      Published
      April 1997
      Manuscript received
      14 June 1996
      Manuscript revised
      19 November 1996

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