Common Arc Method for Diffraction Pattern Orientation

TL;DR

The paper introduces the Common Arc method for accurately orienting single-particle diffraction patterns using intensity correlations on Ewald sphere intersections, improving 3D structure reconstruction from XFEL data.

Contribution

It presents a novel orientation algorithm that leverages intensity correlations on Ewald sphere intersections, capable of handling symmetry, missing data, and low signal levels.

Findings

High orientation accuracy demonstrated on simulated data

Method effectively handles symmetric objects and missing data

Capable of working with low signal levels

Abstract

Very short pulses of x-ray free-electron lasers opened the way to obtain diffraction signal from single particles beyond the radiation dose limit. For 3D structure reconstruction many patterns are recorded in the object's unknown orientation. We describe a method for orientation of continuous diffraction patterns of non-periodic objects, utilizing intensity correlations in the curved intersections of the corresponding Ewald spheres, hence named Common Arc orientation. Present implementation of the algorithm optionally takes into account the Friedel law, handles missing data and is capable to determine the point group of symmetric objects. Its performance is demonstrated on simulated diffraction datasets and verification of the results indicates high orientation accuracy even at low signal levels. The Common Arc method fills a gap in the wide palette of the orientation methods.