Difference between revisions of "Lattice complex"
From Online Dictionary of Crystallography
(→Definition) |
|||
| Line 7: | Line 7: | ||
The name ''lattice complex'' comes from the fact that an assemblage of points that are equivalent with respect to a group of symmetry operations including lattice tranlations can be visualized as a set of equivalent lattices. | The name ''lattice complex'' comes from the fact that an assemblage of points that are equivalent with respect to a group of symmetry operations including lattice tranlations can be visualized as a set of equivalent lattices. | ||
| + | |||
| + | If a first lattice complex formes a true subset of a second one, ''i''.''e''. if each point configuration of the first lattice complex also belongs to the second one, then the first one is called a '''limiting complex''' of the second one and the second complex is called a '''comprehensive complex''' of the first one. | ||
== History == | == History == | ||
Revision as of 17:00, 22 February 2007
Gittercomplex (Ge).
Definition
A lattice complex is the set of all point configurations that may be generated within one type of Wyckoff set.
The name lattice complex comes from the fact that an assemblage of points that are equivalent with respect to a group of symmetry operations including lattice tranlations can be visualized as a set of equivalent lattices.
If a first lattice complex formes a true subset of a second one, i.e. if each point configuration of the first lattice complex also belongs to the second one, then the first one is called a limiting complex of the second one and the second complex is called a comprehensive complex of the first one.
History
Paul Niggli introduced in 1919 the term lattice complex to indicate a set of crystallographically equivalent atoms in a crystal structure, like the Na atoms in NaCl or the C atoms in diamond.
See also
Chapter 14 of International Tables of Crystallography, Section A