Crystal pattern
- Page ID
- 17924
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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.