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Updated: Aug 23, 2026

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Published on: May 10, 2024
Phase improvement by cross-validated density modification
1The Howard Hughes Medical Institute and Department of Molecular Biophysics and Biochemistry, Yale University, New Haven, CT 06520, USA.
Abstract:
Solvent flattening is a useful constraint for the early stages of crystallographic structure determination. However, sometimes it fails to produce significant improvement of poor experimental or molecular-replacement phases. This often occurs as a result of incorrect parameterization. In addition, the potential of overfitting or misinterpretation of the data exists. We have implemented a cross-validated (or free) R value in order to reduce this risk. The free R value was calculated between the experimental F(obs)(h) and the calculated structure factors, F(sf)(h), obtained by inverse Fourier transformation of the solvent-flattened electron density. Because of the sensitivity of the free R value to the test set selection at low resolution complete cross-validation may be required. The reliability of this approach was assessed by examining the correlation between the free R value and the known phase errors for two test cases. A high correlation was found upon variation of the extent of negative density elimination, figure of merit estimation, and the relative weighting in the phase combination procedure. The free R value can be used to optimize parameters of density-modification procedures when independent phase error estimates are unavailable.
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