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  2. Bravais lattice - Wikipedia

    en.wikipedia.org/wiki/Bravais_lattice

    Below each diagram is the Pearson symbol for that Bravais lattice. Note: In the unit cell diagrams in the following table the lattice points are depicted using black circles and the unit cells are depicted using parallelograms (which may be squares or rectangles) outlined in black. Although each of the four corners of each parallelogram ...

  3. 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.

  4. File:Antisymmetric Bravais Lattice 30.svg - Wikipedia

    en.wikipedia.org/wiki/File:Antisymmetric_Bravais...

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  5. Rectangular lattice - Wikipedia

    en.wikipedia.org/wiki/Rectangular_lattice

    The rectangular lattice and rhombic lattice (or centered rectangular lattice) constitute two of the five two-dimensional Bravais lattice types. [1] The symmetry categories of these lattices are wallpaper groups pmm and cmm respectively. The conventional translation vectors of the rectangular lattices form an angle of 90° and are of unequal ...

  6. Crystal structure - Wikipedia

    en.wikipedia.org/wiki/Crystal_structure

    The fourteen three-dimensional lattices, classified by lattice system, are shown above. The crystal structure consists of the same group of atoms, the basis, positioned around each and every lattice point. This group of atoms therefore repeats indefinitely in three dimensions according to the arrangement of one of the Bravais lattices.

  7. List of space groups - Wikipedia

    en.wikipedia.org/wiki/List_of_space_groups

    The degree of translation is then added as a subscript showing how far along the axis the translation is, as a portion of the parallel lattice vector. For example, 2 1 is a 180° (twofold) rotation followed by a translation of ⁠ 1 / 2 ⁠ of the lattice vector. 3 1 is a 120° (threefold) rotation followed by a translation of ⁠ 1 / 3 ⁠ of ...

  8. File:2d-bravais.svg - Wikipedia

    en.wikipedia.org/wiki/File:2d-bravais.svg

    Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts.

  9. Oblique lattice - Wikipedia

    en.wikipedia.org/wiki/Oblique_lattice

    The oblique lattice is one of the five two-dimensional Bravais lattice types. [1] The symmetry category of the lattice is wallpaper group p2. The primitive translation vectors of the oblique lattice form an angle other than 90° and are of unequal lengths.