GroupTheory`
GroupTheory`

GTSGClasses

GTSGClasses[space group, basis]

gives the classes of a factor group of the factor group G/T (G being a space group, T the group of pure lattice translations)."

Details and Options

  • An element of a group is said to be conjugate to another element , if there exists an element such that . A set of mutually conjugate elements of is called "class" or "conjugacy class" of a group .
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapters 3.2 and 4.2.

Examples

Basic Examples  (1)

  • First load the package.
  • We choose a monoclinic basis and the space group P21/c (#14).