Of
the four axes in hexagonal crystals, three in one plane are
equal in length and meet at 120° angles, while the fourth (which
is either shorter or longer) meets the others at 90°. Although
these axes also characterize the triagonal system, the two
systems differ in other ways, such as in the elements of symmetry.
the six sided crystals may be hexagons, plates or pyramids.
The hexagonal crystal system is divided into the hexagonal and rhombohedral or
triagonal divisions. All crystals of the hexagonal division possess a single 6-fold
axis of rotation. In addition to the single 6-fold axis of rotation, crystals
of the hexagonal division may possess up to six 2-fold axes of rotation. They
may demonstrate a center of inversion symmetry and up to seven mirror planes.
Crystals of the triagonal division all possess a single 3-fold axis of rotation
rather than the 6-fold axis of the hexagonal division. Crystals of this division
may possess up to three 2-fold axes of rotation and may demonstrate a center
of inversion and up to three mirror planes.
In the hexagonal system are found nearly 8% of all minerals, including apatite,
graphite, ice, beryl, and molybdenite.
12
crystal classes divided into 2 groups
Hexagonal
division with a 6-fold symmetry axis
Rhombohedral
division have a 3-fold symmetry axis
Four
crystallographic axes of equal length with angels of
120 degrees. The fourth axis is vertical.