Chemical structure refers to both molecular geometry and electronic structure. The structure can be represented by a variety of diagrams called
structural formulas.
Lewis structures use a dot notation to represent the
valence electrons for an atom; these are the electrons that determine the role of the atom in chemical reactions. Bonds between atoms can be represented by lines with one line for each pair of electrons that is shared. In a simplified version of such a diagram, called a
skeletal formula, only carbon-carbon bonds and functional groups are shown. Atoms in a crystal have a
structure that involves repetition of a basic unit called a
unit cell. The atoms can be modeled as points on a
lattice, and one can explore the effect of
symmetry operations that include rotations about a point, reflections about a symmetry planes, and
translations (movements of all the points by the same amount). Each crystal has a finite group, called the
space group, of such operations that map it onto itself; there are 230 possible space groups. By
Neumann's law, the symmetry of a crystal determines what physical properties, including
piezoelectricity and
ferromagnetism, the crystal can have. == Mathematical ==