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Updated: Aug 7, 2026

Assembly and Characterization of Polyelectrolyte Complex Micelles
Published on: March 2, 2020
Phase determination via Sayre-type equations with anomalous-scattering data
J Roach1, P Retailleau, C W Carter
1Department of Biochemistry and Biophysics, University of North Carolina at Chapel Hill, North Carolina, USA.
Abstract:
The necessary background for the analysis of complex-valued electron-density maps is established. Various systems of structure-factor equations of convolutional type akin to Sayre's squaring method equations are tested for agreement on the real and imaginary parts of the electron density as well as approximations thereof. A system of convolutional structure-factor equations holding in a complex-valued electron density generated by two atom types is developed. The scope of application of these equations is determined and it is shown that the equations provide a method of extrapolating high-resolution phases from a low-resolution base phase set without introducing further model bias. Additional applications to phase refinement are explored.
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