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Acta Crystallogr A. 2008 Mar;64:273-9. doi: 10.1107/S0108767307050684. Epub 2008 Feb 19.

Reconstruction of an object from its symmetry-averaged diffraction pattern.

Acta crystallographica. Section A, Foundations of crystallography

Veit Elser, R P Millane

Affiliations

  1. Department of Physics, Cornell University, Ithaca, NY 14853-2501, USA. [email protected]

PMID: 18285621 DOI: 10.1107/S0108767307050684

Abstract

The problem of reconstructing an object from diffraction data that has been incoherently averaged over a discrete group of symmetries is considered. A necessary condition for such data to uniquely specify the object is derived in terms of the object support and the symmetry group. An algorithm is introduced for reconstructing objects from symmetry-averaged data and its use with simulations is demonstrated. The results demonstrate the feasibility of structure determination using a recent proposal for aligning molecules by means of their anisotropic dielectric interaction with an intense light field

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