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

@article{Kurta2013SolutionOT,
  title={Solution of the phase problem for coherent scattering from a disordered system of identical particles},
  author={Ruslan P Kurta and Roman Dronyak and Massimo Altarelli and Edgar Weckert and Ivan A. Vartanyants},
  journal={New Journal of Physics},
  year={2013},
  volume={15}
}
While the implementation of single-particle coherent diffraction imaging for non-crystalline particles is complicated by current limitations on photon flux, hit rate and sample delivery, the concept of many-particle coherent diffraction imaging offers an alternative way of overcoming these difficulties. In this paper, 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… 

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References

SHOWING 1-10 OF 27 REFERENCES

Signal, noise, and resolution in correlated fluctuations from snapshot small-angle x-ray scattering.

The resulting signal-to-noise ratio (SNR) is found to rapidly approach a limit independent of the number of particles contributing to each diffraction pattern, so that the addition of more particles to a "single-particle-per-shot" experiment may be of little value, apart from reducing solvent background.

Structure determination through correlated fluctuations in x-ray scattering

It was suggested more than three decades ago that the three-dimensional structure of one particle may be determined using the simultaneous x-ray scattering from many randomly oriented copies ab

New light on disordered ensembles: ab initio structure determination of one particle from scattering fluctuations of many copies.

We report on the first experimental ab initio reconstruction of an image of a single particle from fluctuations in the scattering from an ensemble of copies, randomly oriented about an axis. The

Reconstructing an icosahedral virus from single-particle diffraction experiments.

A very simple test on the angular correlations of measured diffraction data is described to determine if the scattering is from an icosahedral particle, and if this is confirmed, the efficient algorithm proposed can then combine Diffraction data from multiple shots of particles in random unknown orientations to generate a full 3D image of the icosahed particle.

X-ray cross-correlation analysis and local symmetries of disordered systems: General theory

In a recent article (P.Wochner et al., PNAS (2009)) x-ray scattering intensity correlations around a ring, in the speckle diffraction pattern of a colloidal glass, were shown to display a remarkable

X-ray cross-correlation analysis applied to disordered two-dimensional systems

Angular x-ray cross-correlation analysis (XCCA) is an approach to study the structure of disordered systems using the results of coherent x-ray scattering experiments. Here, we present the results of

Single mimivirus particles intercepted and imaged with an X-ray laser

This work shows that high-quality diffraction data can be obtained with a single X-ray pulse from a non-crystalline biological sample, a single mimivirus particle, which was injected into the pulsed beam of a hard-X-ray free-electron laser, the Linac Coherent Light Source.

Phase retrieval by iterated projections.

  • V. Elser
  • Physics
    Journal of the Optical Society of America. A, Optics, image science, and vision
  • 2003
Several strategies in phase retrieval are unified by an iterative "difference map" constructed from a pair of elementary projections and three real parameters, which illuminates the distinction between its fixed points and the recovered object.

Imaging Atomic Structure and Dynamics with Ultrafast X-ray Scattering

This work discusses recent advances in ultrafast x-ray science and coherent imaging made possible by linear-accelerator–based light sources, and highlights the promise of ultrafastx-ray lasers, as well as the technical challenges and potential range of applications that will accompany these transformative x-Ray light sources.