Cell-twinning

From Online Dictionary of Crystallography

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'''Cell-twinning''' is a structure-building mechanism in which one or more types of building blocks (modules) are juxtaposed next to the other to build a three-dimensional triperiodic structure called a [[modular crystal structure]]. The building blocks are three-dimensional but less than triperiodic and can thus be:
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'''Cell-twinning''' is a structure-building mechanism in which one or more types of building blocks (modules) are juxtaposed next to another to build a three-dimensional triperiodic structure called a [[modular crystal structure]]. The building blocks are three-dimensional but less than triperiodic and can thus be:
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*finite and non-periodic, whose symmetry is described by a point group;
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*finite and non-periodic, with symmetry described by a point group;
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*monoperiodic, whose symmetry is described by a rod group;
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*monoperiodic, with symmetry described by a rod group;
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*diperiodic, whose symmetry is described by a layer group.
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*diperiodic, with symmetry described by a layer group.
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The juxtaposition of modules can produce an interface which is homogeneous with the structure of the module, or may created a heterogeneous interface where coordination polyhedra are modified, created or annihilated. This heterogeneity may lead to a modulation of the chemical composition of the resulting structure with respect to that of the archetype(s) corresponding to the composition of the building module(s). Accordingly, the following hierarchy of structures has been introduced:
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The juxtaposition of modules can produce an interface which is homogeneous with the structure of the module, or may create a heterogeneous interface where coordination polyhedra are modified, created or annihilated. This heterogeneity may lead to a modulation of the chemical composition of the resulting structure with respect to that of the archetype(s) corresponding to the composition of the building module(s). Accordingly, the following hierarchy of structures has been introduced:
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*'''polytypes''': cell-twins without alteration of the coordination at the interface;
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*'''[[polytypism|polytypes]]''': cell-twins without alteration of the coordination at the interface;
*'''chemical twins''': with alteration of the coordination at the interface;
*'''chemical twins''': with alteration of the coordination at the interface;
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**'''isochemical''', without chemical variation at the interface
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**'''isochemical''', without chemical variation at the interface;
**'''heterochemical''', with chemical variation at the interface.
**'''heterochemical''', with chemical variation at the interface.
The phenomenon in which the cell-twinning mechanism leads to a series of structures where the composition is directly related to the size of the modules is called '''tropochemical cell-twinning'''.
The phenomenon in which the cell-twinning mechanism leads to a series of structures where the composition is directly related to the size of the modules is called '''tropochemical cell-twinning'''.
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== Reference ==
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*[https://www.terrapub.co.jp/e-library/tct/index.html Yoshio Takéuchi: ''Topochemical cell-twinning. A Structure-Building Mechanism in Crystalline Solids'']
[[Category:Crystal chemistry]]
[[Category:Crystal chemistry]]

Latest revision as of 14:27, 1 July 2018

Cell-twinning is a structure-building mechanism in which one or more types of building blocks (modules) are juxtaposed next to another to build a three-dimensional triperiodic structure called a modular crystal structure. The building blocks are three-dimensional but less than triperiodic and can thus be:

  • finite and non-periodic, with symmetry described by a point group;
  • monoperiodic, with symmetry described by a rod group;
  • diperiodic, with symmetry described by a layer group.

The juxtaposition of modules can produce an interface which is homogeneous with the structure of the module, or may create a heterogeneous interface where coordination polyhedra are modified, created or annihilated. This heterogeneity may lead to a modulation of the chemical composition of the resulting structure with respect to that of the archetype(s) corresponding to the composition of the building module(s). Accordingly, the following hierarchy of structures has been introduced:

  • polytypes: cell-twins without alteration of the coordination at the interface;
  • chemical twins: with alteration of the coordination at the interface;
    • isochemical, without chemical variation at the interface;
    • heterochemical, with chemical variation at the interface.

The phenomenon in which the cell-twinning mechanism leads to a series of structures where the composition is directly related to the size of the modules is called tropochemical cell-twinning.

Reference