Space Groups of Symmetry
University of Seville (Spain)

Space symmetry operators: All point symmetry elements are included in the spatial symmetry, but there are also screw axes and glide planes.

Screw axis: Are the combination of a rotation with a parallel translation. They are named with the number indicating the rotational component (N=2, 3, 4 o 6) and a subindex indicating the translational component to the rotational component (τ) thus: 21 ,  31 ,  32 ,  41 ,  42 ,  43 ,  61 ,  62 ,  63 ,  64 ,  65.

The ratio τ/N indicates the translation to be performed parallel to the axis, after each sub-rotation (always counter clockwise).

screw axes

Fig. 12. Screw axes from 2, 3, 4 y 6 rotation axes.