Difference between revisions of "Substructure"
From Online Dictionary of Crystallography
(Created page with "<font color="blue">Sous-structure </font> (''Fr''). <font color="black">Sottostruttura </font> (''It''). <font color="purple">部分構造 </font> (''Ja''). A [[crystal structu...") |
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| − | A [[crystal structure]] is composed | + | A [[crystal structure]] S is composed of a finite number N of [[crystallographic orbit]]s. When N > 1, a subset N’ (1 ≤ N’ < N) of the [[crystallographic orbit]]s of S defines a '''substructure'''. |
In chemistry and material science literature a substructure is often but incorrectly called a [[sublattice]]. A [[lattice]] is a mathematical description of the periodicity of a crystal structure and does not possess atomic nature. Furthermore, the translation lattice built on the subset of atoms defining a substructure can either coincide with the lattice of the original structure or be a [[superlattice]] of it, but never a sublattice. | In chemistry and material science literature a substructure is often but incorrectly called a [[sublattice]]. A [[lattice]] is a mathematical description of the periodicity of a crystal structure and does not possess atomic nature. Furthermore, the translation lattice built on the subset of atoms defining a substructure can either coincide with the lattice of the original structure or be a [[superlattice]] of it, but never a sublattice. | ||
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*[[Derivative structure]] | *[[Derivative structure]] | ||
*[[Superstructure]] | *[[Superstructure]] | ||
| − | *[http://scripts.iucr.org/cgi-bin/paper?S1600576719000463 The confusion between lattice and structure explained] | + | *Nespolo, M. (2019). ''J. Appl. Cryst.'' '''52''', 451--456. [http://scripts.iucr.org/cgi-bin/paper?S1600576719000463 The confusion between lattice and structure explained] |
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| + | [[Category:Crystal chemistry]] | ||
| + | [[Category:Fundamental crystallography]] | ||
Latest revision as of 12:58, 15 July 2021
Sous-structure (Fr). Sottostruttura (It). 部分構造 (Ja).
A crystal structure S is composed of a finite number N of crystallographic orbits. When N > 1, a subset N’ (1 ≤ N’ < N) of the crystallographic orbits of S defines a substructure.
In chemistry and material science literature a substructure is often but incorrectly called a sublattice. A lattice is a mathematical description of the periodicity of a crystal structure and does not possess atomic nature. Furthermore, the translation lattice built on the subset of atoms defining a substructure can either coincide with the lattice of the original structure or be a superlattice of it, but never a sublattice.
See also
- Derivative structure
- Superstructure
- Nespolo, M. (2019). J. Appl. Cryst. 52, 451--456. The confusion between lattice and structure explained