The branch of science that deals with the study of structure, geometry and properties of crystals
Types of symmetry in crystals
Plane of symmetry
Centre of symmetry
Axis of symmetry
Plane of symmetry
An imaginary plane which passes through the centre of a crystal and divides it into two equal portions which are exactly the mirror images of each other
Centre of symmetry
An imaginary point in the crystal that any linedrawn through it intersects the surface of the crystal at equal distance on either side
Axis of symmetry
An imaginary line, passing through the crystal such that when the crystal is rotated about this line, it presents the same appearance more than once in one complete revolution
Symmetry elements
The locations where the symmetry operations occur such as rotation axis, a mirror plane, an inversion center, or a translation vector
Symmetry
A set of mathematical rules that describe the shape of an object
There is only one object in the geometrical universe with perfect symmetry - a sphere
Crystal systems
Isometric (or cubic)
Tetragonal
Orthorhombic
Hexagonal
Triclinic
Monoclinic
Rhombohedral (trigonal)
Isometric (or cubic)
All three axes are equal in length, and all are perpendicular to one another
Tetragonal
Two of the three axes are equal in length, and all three axes are perpendicular to one another
Orthorhombic
All three axes are unequal length, and all are perpendicular to one another
Hexagonal
Of four axes, three are equal length, are separated by equal angles, and lie in the same plane. The fourth axis is perpendicular to the plane of the other three axes. Hexagonal cells have lattice points in each of the two six-sided faces.
Triclinic
All three axes are unequal in length, and none is perpendicular to another
Monoclinic
All three axes are unequal in length, and two axes are perpendicular to another
Rhombohedral (trigonal)
All three axes are of equal length, and none of the axes is perpendicular to another, but the crystal faces all have the same size and shape
In crystallography, symmetry is used to characterize crystals, identify repeating parts of molecules, and simplify both data collection and nearly all calculations
Quartz
Composed of silicon (Si) and oxygen (O), the two most abundant elements in the crust of the Earth, an essential mineral in such silica-rich felsic rocks as granites, granodiorites, and rhyolites
Chalcedony
The most generally widespread of these materials is composed of tiny fibers of silica
Jaspers
Solid-colored materials mostly chalcedony stained by oxides
Agate
Banded varieties, or materials with mosslike inclusions
Piezoelectric
A crystal develops positive and negative charges on alternate prism edges when it is subjected to pressure or tension. The charges are proportional to the change in pressure.