An algorithm for the arithmetic classification of multilattices

Details An algorithm for the arithmetic classification of multilattices An algorithm for the arithmetic classification of multilattices

2009-08-17

arxiv.org/abs/0908.2314v1

Physics

Mathematical Physics

21 pages

Scientific paper

A procedure for the construction and the classification of multilattices in arbitrary dimension is proposed. The algorithm allows to determine explicitly the location of the points of a multilattice given its space group, and to determine whether two multilattices are arithmetically equivalent. The algorithm is based on ideas from integer matrix theory, in particular the reduction to the Smith normal form. Among the applications of this procedure is a software package that allows the classification of complex crystalline structures and the determination of their space groups. Also, it can be used to determine the symmetry of regular systems of points in high dimension, with applications to the study of quasicrystals and sets of points with noncrystallographic symmetry in low dimension, such as viral capsid structures.

Affiliated with

Also associated with

No associations

Rating

An algorithm for the arithmetic classification of multilattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An algorithm for the arithmetic classification of multilattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An algorithm for the arithmetic classification of multilattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-19365