Difference between revisions of "Crystal pattern"
From Online Dictionary of Crystallography
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# all translation vectors, except the zero vector '''0''', have a length of at least d > 0. | # all translation vectors, except the zero vector '''0''', have a length of at least d > 0. | ||
| − | When the crystal pattern consists of atoms, it takes the name of '''crystal structure'''. The crystal pattern is thus the generalization of a crystal structure to any pattern, concrete of abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above. | + | When the crystal pattern consists of atoms, it takes the name of '''[[crystal structure]]'''. The crystal pattern is thus the generalization of a crystal structure to any pattern, concrete of abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above. |
== See also == | == See also == | ||
Revision as of 11:55, 15 September 2016
Motif cristallin (Fr). Motivo cristallino(It). 結晶模様 (Ja)
An object in the n-dimensional point space En is called an n-dimensional crystallographic pattern or, for short, crystal pattern if among its symmetry operations:
- there are n translations, the translation vectors t1, ... , tn of which are linearly independent;
- all translation vectors, except the zero vector 0, have a length of at least d > 0.
When the crystal pattern consists of atoms, it takes the name of crystal structure. The crystal pattern is thus the generalization of a crystal structure to any pattern, concrete of abstract, in any dimension, which obeys the conditions of periodicity and discreteness expressed above.
See also
- Point space
- Noncrystallographic symmetry
- International Tables of Crystallography, Volumes A and A1