Symmetry in Molecules and Crystals

A₁ angle arrangement of points atomic orbitals axis y axis bonds Bravais lattice C₁ C₂ centre of symmetry centrosymmetric circle consider conventional unit cell corresponding cos² crystal drawings crystal systems crystallographic point groups cubic diad diagram direction enantiomorphous equation equivalent positions example F F F faces families of planes geometrical given glide plane Hermann-Mauguin hexagonal unit cell intersection inversion Laue matrix Miller indices mirror planes molecules monoclinic monoclinic lattice notation object obtained orientation origin orthorhombic orthorhombic lattice parallel parametral plane perpendicular plane group point-group symbol point-group symmetry poles projection symmetry R₁ R₂ reciprocal lattice reciprocal lattice points rectangular reference axes represent respectively rhombohedral rotational symmetry Schoenflies Schoenflies notation Section shown in Fig space group species stereogram Stereoview symmetry axes symmetry elements symmetry operations tetragonal transformation translation triangle triclinic trigonal two-dimensional two-fold rotation unit cell zone axes