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  2. Pearson symbol - Wikipedia

    en.wikipedia.org/wiki/Pearson_symbol

    The Pearson symbol, or Pearson notation, is used in crystallography as a means of describing a crystal structure. [1] It was originated by W. B. Pearson and is used extensively in Pearson's handbook of crystallographic data for intermetallic phases. [2] The symbol is made up of two letters followed by a number. For example: Diamond structure, cF8

  3. Hermann–Mauguin notation - Wikipedia

    en.wikipedia.org/wiki/Hermann–Mauguin_notation

    For example, symbols P 6 m2 and P 6 2m denote two different space groups. This also applies to symbols of space groups with odd-order axes 3 and 3. The perpendicular symmetry elements can go along unit cell translations b and c or between them. Space groups P321 and P312 are examples of the former and the latter cases, respectively.

  4. Crystallographic point group - Wikipedia

    en.wikipedia.org/wiki/Crystallographic_point_group

    In Schoenflies notation, point groups are denoted by a letter symbol with a subscript. The symbols used in crystallography mean the following: C n (for cyclic) indicates that the group has an n-fold rotation axis. C nh is C n with the addition of a mirror (reflection) plane perpendicular to the axis of rotation.

  5. List of space groups - Wikipedia

    en.wikipedia.org/wiki/List_of_space_groups

    For example, 4 1 /a means that the crystallographic axis in question contains both a 4 1 screw axis as well as a glide plane along a. In Schoenflies notation, the symbol of a space group is represented by the symbol of corresponding point group with additional superscript. The superscript doesn't give any additional information about symmetry ...

  6. Hexagonal crystal family - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_crystal_family

    The wurtzite crystal structure is referred to by the Strukturbericht designation B4 and the Pearson symbol hP4. The corresponding space group is No. 186 (in International Union of Crystallography classification) or P6 3 mc (in Hermann–Mauguin notation). The Hermann-Mauguin symbols in P6 3 mc can be read as follows: [13] 6 3..

  7. Miller index - Wikipedia

    en.wikipedia.org/wiki/Miller_index

    Planes with different Miller indices in cubic crystals Examples of directions. Miller indices form a notation system in crystallography for lattice planes in crystal (Bravais) lattices. In particular, a family of lattice planes of a given (direct) Bravais lattice is determined by three integers h, k, and ℓ, the Miller indices.

  8. Bravais lattice - Wikipedia

    en.wikipedia.org/wiki/Bravais_lattice

    For example, a crystal, viewed as a lattice with a single kind of atom located at every lattice point (the simplest basis form), may also be viewed as a lattice with a basis of two atoms. In this case, a primitive unit cell is a unit cell having only one lattice point in the first way of describing the crystal in order to ensure the smallest ...

  9. Crystal model - Wikipedia

    en.wikipedia.org/wiki/Crystal_model

    A crystal model is a teaching aid used for understanding concepts in crystallography and the morphology of crystals. Models are ideal to learn recognizing symmetry elements in crystals. Models are ideal to learn recognizing symmetry elements in crystals.