Thus far our discussion has centered about crystals as individuals,
but, in most cases by far, they form groups or aggregates. Most
commonly crystal grouping is very irregular, but by no means rare
is parallel grouping where whole crystals, or more usually parts of
crystals, have all corresponding parts exactly parallel. But most
remarkable of all are the twin crystals in which two or more crystals
intergrown or in contact have all corresponding parts in exactly
reverse order. The conditioning circumstances under which twin crystals
develop are unknown.
In the light of the facts and principles above explained, the reader
will more than likely agree with the author that crystals rank very
high among nature's most wonderful objects. But there are still other
characteristic features of crystals naturally resulting from their
marvelous structure. Some of these will now be briefly referred to.
[Illustration: Fig. 73.--Figures illustrating twin crystals: a, gypsum
(Monoclinic system); b, fluorite (Isometric system); c, cassiterite
(Tetragonal system). (After New York State Museum Bulletin.)]
Many crystals and crystalline substances exhibit the important property
known as cleavage which is the marked tendency to break easily in
certain directions yielding more or less smooth plane surfaces. As
would be expected, a cleavage surface is always parallel to an actual,
or at least a possible, crystal face, and it takes place along the
surfaces of weaker molecular cohesion. The degree of cleavage varies
from almost perfect, as in mica, to very poor or none at all, as in
quartz. The number of cleavage directions exhibited by common minerals
is illustrated as follows: mica, one; feldspar, two; calcite, three;
and fluorite, four.
It is a striking fact that when a crystal or cleavage piece is placed
in a solvent, the action proceeds with different velocities in
crystallographically different directions and little pits or cavities,
called etching figures, are developed on some or all of the faces.
Since the symmetry of these etching figures and their arrangement upon
the faces are directly related to, and natural effects of the crystal
symmetry, the figures often furnish an important method of placing
a doubtful crystal or even merely a cleavage fragment in its proper
symmetry class.