What does space group mean?

Definitions for space group
space group

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Wiktionary

  1. space groupnoun

    The set of all symmetry operations that can be applied to a given crystal without changing it.

Wikipedia

  1. Space group

    In mathematics, physics and chemistry, a space group is the symmetry group of an object in space, usually in three dimensions. The elements of a space group (its symmetry operations) are the rigid transformations of an object that leave it unchanged. In three dimensions, space groups are classified into 219 distinct types, or 230 types if chiral copies are considered distinct. Space groups are discrete cocompact groups of isometries of an oriented Euclidean space in any number of dimensions. In dimensions other than 3, they are sometimes called Bieberbach groups. In crystallography, space groups are also called the crystallographic or Fedorov groups, and represent a description of the symmetry of the crystal. A definitive source regarding 3-dimensional space groups is the International Tables for Crystallography Hahn (2002).

Wikidata

  1. Space group

    In mathematics and geometry, a space group is the symmetry group of a configuration in space, usually in three dimensions. In three dimensions, there are 219 distinct types, or 230 if chiral copies are considered distinct. Space groups are also studied in dimensions other than 3 where they are sometimes called Bieberbach groups, and are discrete cocompact groups of isometries of an oriented Euclidean space. In crystallography, space groups are also called the crystallographic or Fedorov groups, and represent a description of the symmetry of the crystal. A definitive source regarding 3-dimensional space groups is the International Tables for Crystallography.

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Numerology

  1. Chaldean Numerology

    The numerical value of space group in Chaldean Numerology is: 1

  2. Pythagorean Numerology

    The numerical value of space group in Pythagorean Numerology is: 4

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"space group." Definitions.net. STANDS4 LLC, 2024. Web. 8 Dec. 2024. <https://www.definitions.net/definition/space+group>.

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