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In Hermann–Mauguin notation, space groups are named by a symbol combining the point group identifier with the uppercase letters describing the lattice type. Translations within the lattice in the form of screw axes and glide planes are also noted, giving a complete crystallographic space group. These are the Bravais lattices in three dimensions:
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 ...
The symbol of a space group is defined by combining the uppercase letter describing the lattice type with symbols specifying the symmetry elements. The symmetry elements are ordered the same way as in the symbol of corresponding point group (the group that is obtained if one removes all translational components from the space group).
A: Space-Group Symmetry, [2] and the data of maximal subgroups of space groups as listed in International Tables of Crystallography, Vol. A1: Symmetry relations between space groups. [3] A k-vector database with Brillouin zone figures and classification tables of the k-vectors for space groups is also available via the KVEC tool.
This category lists minerals that display the Pmc2 1 (No. 26) space group symmetry of the orthorhombic crystal system. Pages in category "Minerals in space group 26" This category contains only the following page.
The naming of full space groups usually follows another common convention, the Hermann–Mauguin notation, also known as the international notation. Although Schoenflies notation without superscripts is a pure point group notation, optionally, superscripts can be added to further specify individual space groups.
Space group From the plural form : This is a redirect from a plural noun to its singular form. This redirect link is used for convenience; it is often preferable to add the plural directly after the link (for example, [[link]]s ).
The Pearson symbol does not uniquely identify the space group of a crystal structure. 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 ...