GroupTheory`Wyckoff`
GroupTheory`Wyckoff`

GTInstallWyckoff

GTInstallWyckoff[Wyckoff positions]

adds a new set of Wyckoff positions to the global variable wyckoff.

Details and Options

  • Before adding a new set of Wyckoff positions for a space group to the global variable wyckoff, GTInstallWyckoff checks, if this set was already installed.
  • After installation the number of installed space groups is printed.
  • Installed space groups and Wyckoff positions can be saved using GTSaveWyckoff to a database.
  • The command is not explained in:
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter B.3
  • Information about the Wyckoff positions of a space can be found in:
  • International Tables for Crystallography
  • For the new structure a list has to be constructed:
  • {space group number, setting, origin, list of Wyckoff positions}
  • For a special Wyckoff position:
  • {multiplicity, Wyckoff letter, symmetry, list of positions}
  • Currently available space groups and Wyckoff positions are saved within the global variable wyckoff and can be listed by GTAllWyckoff.
  • Space groups and Wyckoff positions from external files can be loaded by GTLoadWyckoff.

Examples

Basic Examples  (1)

First, load the package:

CLear the internal variable:

The list to install the space group 221 is given by

To understand it better, compare the list with the data in "International Tables for Crystallography", Volume A "Space-Group Symmetry", p.663