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Open Access Publications from the University of California

Selling reduction versus Niggli reduction for crystallographic lattices.

  • Author(s): Andrews, Lawrence C;
  • Bernstein, Herbert J;
  • Sauter, Nicholas K
  • et al.

The unit-cell reduction described by Selling and used by Delone (whose early publications were under the spelling Delaunay) is explained in a simple form. The transformations needed to implement the reduction are listed. The simplicity of this reduction contrasts with the complexity of Niggli reduction.

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