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  2. Bravais lattice - Wikipedia

    en.wikipedia.org/wiki/Bravais_lattice

    The seven lattice systems and their Bravais lattices in three dimensions. In geometry and crystallography, a Bravais lattice, named after Auguste Bravais (), [1] is an infinite array of discrete points generated by a set of discrete translation operations described in three dimensional space by

  3. Crystal structure - Wikipedia

    en.wikipedia.org/wiki/Crystal_structure

    The three dimensions of space afford 14 distinct Bravais lattices describing the translational symmetry. All crystalline materials recognized today, not including quasicrystals, fit in one of these arrangements. The fourteen three-dimensional lattices, classified by lattice system, are shown above.

  4. Crystal system - Wikipedia

    en.wikipedia.org/wiki/Crystal_system

    A lattice system is a set of Bravais lattices (an infinite array of discrete points). Space groups (symmetry groups of a configuration in space) are classified into crystal systems according to their point groups, and into lattice systems according to their Bravais lattices.

  5. Perfect crystal - Wikipedia

    en.wikipedia.org/wiki/Perfect_crystal

    Crystalline materials (mainly metals and alloys, but also stoichiometric salts and other materials) are made up of solid regions of ordered matter (atoms placed in one of a number of ordered formations called Bravais lattices). These regions are known as crystals. A perfect crystal is a crystal that contains no point, line, or planar defects. [1]

  6. Crystallographic point group - Wikipedia

    en.wikipedia.org/wiki/Crystallographic_point_group

    Leave out the Bravais lattice type. Convert all symmetry elements with translational components into their respective symmetry elements without translation symmetry. (Glide planes are converted into simple mirror planes; screw axes are converted into simple axes of rotation.) Axes of rotation, rotoinversion axes, and mirror planes remain unchanged.

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