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  2. List of space groups - Wikipedia

    en.wikipedia.org/wiki/List_of_space_groups

    There are 230 space groups in three dimensions, given by a number index, and a full name in Hermann–Mauguin notation, and a short name (international short symbol). The long names are given with spaces for readability. The groups each have a point group of the unit cell.

  3. Orthorhombic crystal system - Wikipedia

    en.wikipedia.org/wiki/Orthorhombic_crystal_system

    Point group Type Example Space groups; Name [3] Schön. Intl Orb. Cox. Primitive Base-centered Face-centered Body-centered 16–24 Rhombic disphenoidal D 2 (V) 222 222 [2,2] + Enantiomorphic: Epsomite. Boron(gamma form) P222, P222 1, P2 1 2 1 2, P2 1 2 1 2 1: C222 1, C222 F222 I222, I2 1 2 1 2 1: 25–46 Rhombic pyramidal C 2v: mm2 *22 [2 ...

  4. Space group - Wikipedia

    en.wikipedia.org/wiki/Space_group

    A space group is called symmorphic (or split) if there is a point such that all symmetries are the product of a symmetry fixing this point and a translation. Equivalently, a space group is symmorphic if it is a semidirect product of its point group with its translation subgroup. There are 73 symmorphic space groups, with exactly one in each ...

  5. Category:Minerals in space group 19 - Wikipedia

    en.wikipedia.org/wiki/Category:Minerals_in_space...

    This category lists minerals that display the P2 1 2 1 2 1 (No. 19) space group symmetry of the orthorhombic crystal system. Pages in category "Minerals in space group 19" The following 17 pages are in this category, out of 17 total.

  6. Cubic crystal system - Wikipedia

    en.wikipedia.org/wiki/Cubic_crystal_system

    The isometric crystal system class names, point groups (in Schönflies notation, Hermann–Mauguin notation, orbifold, and Coxeter notation), type, examples, international tables for crystallography space group number, [2] and space groups are listed in the table below. There are a total 36 cubic space groups.

  7. Wyckoff positions - Wikipedia

    en.wikipedia.org/wiki/Wyckoff_positions

    The Wyckoff positions are named after Ralph Wyckoff, an American X-ray crystallographer who authored several books in the field.His 1922 book, The Analytical Expression of the Results of the Theory of Space Groups, [3] contained tables with the positional coordinates, both general and special, permitted by the symmetry elements.

  8. List of planar symmetry groups - Wikipedia

    en.wikipedia.org/wiki/List_of_planar_symmetry_groups

    17 wallpaper groups – 2D space groups. Rosette groups ... Subgroup relationships among the 17 wallpaper group [2] o 2222

  9. Pearson symbol - Wikipedia

    en.wikipedia.org/wiki/Pearson_symbol

    For example, both the NaCl structure (space group Fm 3 m) and diamond (space group Fd 3 m) have the same Pearson symbol cF8. Due to this constraint, the Pearson symbol should only be used to designate simple structures (elements, some binary compound) where the number of atoms per unit cell equals, ideally, the number of translationally ...