GROUP THEORY SYMBOL

GTPhEllipticRod

GTPhEllipticRod[recirocal lattice vector,structure]
gives the structure factor of an elliptic rod.

DetailsDetails

  • The structure factor of an elliptic rod is given by
  • is the Bessel function of first kind. is the semi-major axis (x-direction) and the semi-minor axis (y-direction). The center of the elliptic rod coincides with the origin of the coordinate system. The dimensions of the elipsoid have to be measured in units of the lattice constant . The list structure contains the filling factor , and . If an additional entry is given, it is a rotation angle. It enables the rotation of the structure with respect to the coordinate system.
  • structure =
  • The reciprocal lattice vectors are given in units .
  • A circular rod, described by the token CircularRod, is a special case of EllipticRod.
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 10.4

ExamplesExamplesopen allclose all

Basic Examples  (1)Basic Examples  (1)

First load the package:

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The structure factors are calculated for a mesh of reciprocal lattice vectors corresponding to a square lattice.

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