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Difference between revisions of "Substructure"

From Online Dictionary of Crystallography

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A [[crystal structure]] is composed by a finite number N of [[crystallographic orbit]]s. When N > 1, a subset N’ (1 &#8804; N’ < N) of the  [[crystallographic orbit]]s of S defines a '''substructure'''.
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A [[crystal structure]] S is composed of a finite number N of [[crystallographic orbit]]s. When N > 1, a subset N’ (1 &#8804; 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]
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*Nespolo, M. (2019). ''J. Appl. Cryst.'' '''52''', 451--456. [http://scripts.iucr.org/cgi-bin/paper?S1600576719000463 The confusion between lattice and structure explained]
  
  
 
[[Category:Crystal chemistry]]
 
[[Category:Crystal chemistry]]
 
[[Category:Fundamental crystallography]]
 
[[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