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cond-mat.mtrl-sci2013★ 1 cited
The Geometry of Niggli Reduction III: SAUC -- Search of Alternate Unit Cells
Keith J. McGill, Mojgan Asadi, Maria Toneva Karakasheva +2
A crystallographic cell is a representation of a lattice, but each lattice can be represented just as well by any of an infinite number of such unit cells. Searching for matches to…
cond-mat.mtrl-sci2013
The Geometry of Niggli Reduction II: BGAOL -- Embedding Niggli Reduction
Lawrence C. Andrews, Herbert J. Bernstein
Niggli reduction can be viewed as a series of operations in a six-dimensional space derived from the metric tensor. An implicit embedding of the space of Niggli-reduced cells in a…