International
Tables for Crystallography Volume F Crystallography of biological macromolecules Edited by M. G. Rossmann and E. Arnold © International Union of Crystallography 2006 |
International Tables for Crystallography (2006). Vol. F. ch. 16.2, p. 348
Section 16.2.3.1. The random-atom model
aLaboratory of Molecular Biology, Medical Research Council, Cambridge CB2 2QH, England |
The standard setting of probabilistic direct methods (Hauptman & Karle, 1953; Bertaut, 1955a
,b
; Klug, 1958
) uses implicitly as its starting point a source of random atomic positions. This can be described in the terms introduced in Section 16.2.2.1
by using a continuous alphabet
whose symbols s are fractional coordinates x in the asymmetric unit of the crystal, the uniform measure μ being the ordinary Lebesgue measure
. A message of length N generated by that source is then a random N-equal-atom structure.
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