Click on any of the seven buttons on the right side of the figure to operate one of the seven symmetry classes of the hexagonal crystal system on a face pole in stereographic projection.

A single 6-fold rotation axis or the improper 6-fold rotation axis can either build a respective class. Theese axes will be present in the other five classes together with mirror plane or 2-fold axis.  Axes and planes or axis and axis are related similar as in the tetragonal system.

A click on the circle will clear the figure and select a new face pole.

Exercises

1) What is the intersection angle of the 2-fold axis and the 6-fold axis in class 62?

2) How many 2-fold axes can be observed in class 6/mm?

3) If a mirror plane perpendicular to the 6-fold axis is added in class 6m what class will result?

Theme table
 

Presentation