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  2. Crystal system - Wikipedia

    en.wikipedia.org/wiki/Crystal_system

    A crystal system is a set of point groups in which the point groups themselves and their corresponding space groups are assigned to a lattice system. Of the 32 crystallographic point groups that exist in three dimensions, most are assigned to only one lattice system, in which case both the crystal and lattice systems have the same name. However ...

  3. Crystal structure - Wikipedia

    en.wikipedia.org/wiki/Crystal_structure

    A crystal system is a set of point groups in which the point groups themselves and their corresponding space groups are assigned to a lattice system. Of the 32 point groups that exist in three dimensions, most are assigned to only one lattice system, in which case the crystal system and lattice system both have the same name.

  4. Hermann–Mauguin notation - Wikipedia

    en.wikipedia.org/wiki/Hermann–Mauguin_notation

    These are the crystallographic point groups 1 and 1 (triclinic crystal system), 2, m, and ⁠ 2 / m ⁠ , and 222, ⁠ 2 / m ⁠ ⁠ 2 / m ⁠ ⁠ 2 / m ⁠, and mm2 (orthorhombic). (The short form of ⁠ 2 / m ⁠ ⁠ 2 / m ⁠ ⁠ 2 / m ⁠ is mmm.) If the symbol contains three positions, then they denote symmetry elements in the x, y, z ...

  5. Hexagonal crystal family - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_crystal_family

    A crystal system is a set of point groups in which the point groups themselves and their corresponding space groups are assigned to a lattice system (see table in Crystal system#Crystal classes). The trigonal crystal system consists of the 5 point groups that have a single three-fold rotation axis, which includes space groups 143 to 167.

  6. Crystal - Wikipedia

    en.wikipedia.org/wiki/Crystal

    Galena also sometimes crystallizes as octahedrons, and the eight faces of the octahedron belong to another crystallographic form reflecting a different symmetry of the isometric system. A crystallographic form is described by placing the Miller indices of one of its faces within brackets. For example, the octahedral form is written as {111 ...

  7. Crystallographic point group - Wikipedia

    en.wikipedia.org/wiki/Crystallographic_point_group

    Each crystallographic point group defines the (geometric) crystal class of the crystal. The point group of a crystal determines, among other things, the directional variation of physical properties that arise from its structure, including optical properties such as birefringency , or electro-optical features such as the Pockels effect .

  8. Crystallography - Wikipedia

    en.wikipedia.org/wiki/Crystallography

    This involved measuring the angles of crystal faces relative to each other and to theoretical reference axes (crystallographic axes), and establishing the symmetry of the crystal in question. The position in 3D space of each crystal face is plotted on a stereographic net such as a Wulff net or Lambert net. The pole to each face is plotted on ...

  9. Cubic crystal system - Wikipedia

    en.wikipedia.org/wiki/Cubic_crystal_system

    A network model of a primitive cubic system The primitive and cubic close-packed (also known as face-centered cubic) unit cells. In crystallography, the cubic (or isometric) crystal system is a crystal system where the unit cell is in the shape of a cube. This is one of the most common and simplest shapes found in crystals and minerals.

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