GroupTheory`
GroupTheory`

GTPhSphere

GTPhSphere[recirocal lattice vector,structure]

gives the structure factor of a sphere.

Details and Options

  • A dielectric sphere at the origin with radius is considered.
  • is the spherical Bessel function. The radius has to be given in the terms of the lattice constant . The list structure contains the filling factor and thr radius :
  • structure =
  • The reciprocal lattice vectors are given in units .
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 10.4

Examples

Basic Examples  (1)

First load the package:

The structure factor depends only on the norm of the reciprocal lattice vectors.

The structure factors are: