GroupTheory`
GroupTheory`

GTPointGroups

GTPointGroups[Mode]

gives a graph according to the subgroup relationships of the 32 point groups.

Details and Options

  • Mode="Graph" gives a standard Graph representation.
  • Mode="LayeredGraph" tries to order the nodes of the graph.
  • Mode="Graph3D" shows a 3D plot of the graph.
  • The following options can be given:
  • GODimension 3Selects 2D or 3D point groups
    GONotation "SFL"Changes the notation betweenSFL and HM
    GraphStyle "IndexLabeled"Specifies styles for graph elements
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 4.1.2

Examples

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Basic Examples  (1)

First, load the package:

Then run the examples:

Options  (5)

GONotation  (2)

GraphStyle  (2)

The style of the vertices in the graph can be changed by this option. Useful choices are: "DiagramBlack","DiagramBlue","DiagramGreen", "DiagramGold","VintageDiagram".

You get an overview about possible settings by GraphElelemtData["GraphStyle"].

GODimension  (1)