International
Tables for
Crystallography
Volume B
Reciprocal space
Edited by U. Shmueli

© International Union of Crystallography 2006
International Tables for Crystallography (2006). Vol. B. ch. 3.3, p. 368   | 1 | 2 |

Section 3.3.1.3.3. Rotation

R. Diamonda*

aMRC Laboratory of Molecular Biology, Hills Road, Cambridge CB2 2QH, England
Correspondence e-mail: rd10@cam.ac.uk

3.3.1.3.3. Rotation

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Rotation about the origin is achieved by [\pmatrix{{N{\bi R}} &{\bf 0}\cr {\bf 0}^{T} &{N}\cr} \pmatrix{{\bf X}\cr {W}\cr} = \pmatrix{{{N}{\bi R}{\bf X}}\cr {NW}\cr} \simeq \pmatrix{{{\bi R}{\bf X}}\cr {W}\cr},] in which R is an orthogonal [3 \times 3] matrix. R necessarily has elements not exceeding one in modulus. For machines using integer arithmetic, therefore, N would be chosen large enough (usually half the largest possible integer) for the product NR to be well represented in the available word length. Characteristically, N affects resolution but not scale.








































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