4 papers
Delone lattice studies in C3, the space of three complex variables
Lawrence C. Andrews, Herbert J. Bernstein
The Delone (Selling) scalars, which are used in unit cell reduction and in lattice type determination, are studied in , the space of three complex variables. The thre…
SELLA -- A Program for Determining Bravais Lattice Types
Lawrence C. Andrews, Herbert J. Bernstein, Nicholas K. Sauter
We introduce a new Bravais lattice determination algorithm. SELLA is a straight-forward algorithm and a program for determining Bravais lattice type based on Selling (Delone) reduc…
Measuring Lattices
Lawrence C. Andrews, Herbert J. Bernstein
Unit cells are used to represent crystallographic lattices. Calculations measuring the differences between unit cells are used to provide metrics for measuring meaningful distances…
An Invertible Seven-Dimensional Dirichlet Cell Characterization of Lattices
Herbert J. Bernstein, Lawrence C. Andrews, Mario Xerri
Characterization of crystallographic lattices is an important tool in structure solution, crystallographic database searches and clustering of diffraction images in serial crystall…