2
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: not found

      Scattering functions of polyhedra

      ,
      Journal of Applied Crystallography
      International Union of Crystallography (IUCr)

      Read this article at

      ScienceOpenPublisher
      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Herein, a general method to calculate the scattering functions of polyhedra, including both regular and semi-regular polyhedra, is presented. These calculations may be achieved by breaking a polyhedron into sets of congruent pieces, thereby reducing computation time by taking advantage of Fourier transforms and inversion symmetry. Each piece belonging to a set or subunit can be generated by either rotation or translation. Further, general strategies to compute truncated, concave and stellated polyhedra are provided. Using this method, the asymptotic behaviors of the polyhedral scattering functions are compared with that of a sphere. It is shown that, for a regular polyhedron, the form factor oscillation at highqis correlated with the face-to-face distance. In addition, polydispersity affects the Porod constant. The ideas presented herein will be important for the characterization of nanomaterials using small-angle scattering.

          Related collections

          Author and article information

          Journal
          JACGAR
          Journal of Applied Crystallography
          J Appl Crystallogr
          International Union of Crystallography (IUCr)
          1600-5767
          April 2015
          March 2015
          : 48
          : 2
          : 565-577
          Article
          10.1107/S1600576715002964
          f1980475-52b6-429e-976f-4d2facfb96c8
          © 2015
          History

          Comments

          Comment on this article