# Difference between revisions of "Partial structure"

### From Online Dictionary of Crystallography

(Created page with "The crystal structure formed by a selection of atoms contained in the unit cell. In describing a crystal structure it is sometimes convenient to characterise only the structur...") |
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− | The crystal structure formed by a | + | <font color="blue">Structure partielle</font> (''Fr''). |

− | In describing a crystal structure it is sometimes convenient to | + | |

+ | The crystal structure formed by a subset of elements and their symmetry equivalents. | ||

+ | |||

+ | In describing or analyzing a crystal structure it is sometimes convenient to consider only the structure formed by the selected atoms. | ||

+ | |||

+ | '''Example''' | ||

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+ | The structure of <math>BaTiO_3</math> is tetragonal with a primitive unit cell and lattice constants <math>a</math> and <math>c</math>. The partial structure of Ba has the same lattice constants whereas the partial structure of O has also a primitive cell but with the lattice constant <math>a_O = a/ \sqrt{2}</math>, <math>c</math> being equal | ||

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+ | See synonymous [[Substructure]] |

## Latest revision as of 07:34, 2 June 2020

Structure partielle (*Fr*).

The crystal structure formed by a subset of elements and their symmetry equivalents.

In describing or analyzing a crystal structure it is sometimes convenient to consider only the structure formed by the selected atoms.

**Example**

The structure of [math]BaTiO_3[/math] is tetragonal with a primitive unit cell and lattice constants [math]a[/math] and [math]c[/math]. The partial structure of Ba has the same lattice constants whereas the partial structure of O has also a primitive cell but with the lattice constant [math]a_O = a/ \sqrt{2}[/math], [math]c[/math] being equal

See synonymous Substructure