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

  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},
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… 

The role of the coherence in the cross-correlation analysis of diffraction patterns from two-dimensional dense mono-disperse systems

It is demonstrated that the amplitude of the CCF is a fingerprint of the degree of the ordering in the sample and that at partial transverse coherence, theCCF of a dense sample corresponds to that of an individual scattering object.

Multiple-wavelength resonant fluctuation x-ray scattering

A multiple-wavelength resonant fluctuation x-ray scattering approach is proposed for element-specific imaging of nanoscale objects in random ensembles with short positional and rotational relaxation

Sorting algorithms for single-particle imaging experiments at X-ray free-electron lasers.

An approach for classification of diffraction patterns measured in prototypical diffract-and-destroy single-particle imaging experiments at XFELs is presented, proposing that the data are classified on the basis of a set of parameters that take into account the underlying diffraction physics and specific relations between the real-space structure of a particle and its reciprocal-space intensity distribution.

Angular Correlations of CsCl Solutions

The evolution of brighter and intenser x-ray sources such as free-electron lasers have rekindled the interest in correlation methods, which were limited by the low photon counts reaching the

Correlations in Scattered X-Ray Laser Pulses Reveal Nanoscale Structural Features of Viruses.

This work employs angular correlations to recover the three-dimensional (3D) structure of nanoscale viruses from x-ray diffraction data measured at the Linac Coherent Light Source, revealing a clear indication that the structure of the viruses deviates from the expected perfect icosahedral symmetry.

Iterative phasing for fluctuation X-ray scattering

A multitiered iterative phasing algorithm to determine the underlying structure of the scattering object from FXS data is developed, which allows one to visualize structural details that may be inaccessible through traditional methods.

Autocorrelation analysis for cryo-EM with sparsity constraints: Improved sample complexity and projection-based algorithms

It is proved that molecular structures modeled as sums of idealized point masses are uniquely determined by the second-order autocorrelation of their projection images, implying that the sample complexity is proportional to the square of the variance of the noise.

XFEL data analysis for structural biology

These applications of X-ray lasers in structural biology are described, with a focus particularly on aspects of data analysis for the computational research community, and perspectives on future research using computational methods are provided.

Error analysis of ellipsoidal mirrors for soft X-ray focusing by wave-optical simulation

The ellipsoidal mirror is an ideal soft X-ray focusing optic that enables achromatic and highly efficient focusing to a nanometer spot size; however, a high-quality surface is necessary for ideal

Angular X-ray Cross-Correlation Analysis (AXCCA): Basic Concepts and Recent Applications to Soft Matter and Nanomaterials

This review provides an introduction to the technique and gives a survey of the recent experimental work in which AXCCA in combination with micro- or nanofocused X-ray microscopy was used to study the orientational order in various soft matter systems.



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.