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Figure 1
Schematic illustration of translation likelihood function for acentric structure factors. As a molecule is translated, the molecular-transform contributions from the symmetry-related copies (four in this example) will change in phase but not in amplitude. For the correct translation, the true structure factor will be found within a two-dimensional Gaussian distribution (shown as grey shading) centered on the total calculated structure factor, scaled by the factor D to obtain the centroid of the distribution (Read, 1990BB28). The contribution of a single structure factor to the likelihood function is obtained by integrating around a circle with a radius given by the observed amplitude, FO, so the likelihood will be high when this circle intersects regions of high probability in the two-dimensional Gaussian. For a combined rotation/translation search, both the amplitudes and phases of the molecular-transform contributions will vary.

Journal logoBIOLOGICAL
CRYSTALLOGRAPHY
ISSN: 1399-0047
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