Solution of the phase problem for coherent scattering from a disordered system of identical particles

Abstract

While the implementation of single particle coherent diffraction imaging for non-crystalline particles is complicated by current limitations in photon flux, hit rate, and sample delivery a concept of many-particle coherent diffraction imaging offers an alternative way to overcome these difficulties. Here we present a direct, non-iterative approach for the recovery of the diffraction pattern corresponding to a single particle using coherent x-ray data collected from a two-dimensional (2D) disordered system of identical particles, that does not require a priori information about the particles and can be applied to a general case of particles without symmetry. The reconstructed single particle diffraction pattern can be directly used in common iterative phase retrieval algorithms to recover the structure of the particle.

14 pages, 5 figures

References in corpus (3)

• X-ray cross-correlation analysis and local symmetries of disordered systems. I. General theory
• X-ray cross-correlation analysis applied to disordered two-dimensional systems
• Reconstructing an Icosahedral Virus from Single-Particle Diffraction Experiments

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• The role of the coherence in the cross-correlation analysis of diffraction patterns from two-dimensional dense mono-disperse systems
• Autocorrelation analysis for cryo-EM with sparsity constraints: Improved sample complexity and projection-based algorithms
• Spatial properties of $\pi -\pi$ conjugated network in semicrystalline polymer thin films studied by intensity x-ray cross-correlation functions