SPEDEN: Reconstructing single particles from their diffraction patterns

Stefan P. Hau-Riege, Hanna Szoke, Henry N. Chapman, Abraham Szoke, Stefano Marchesini, Aleksandr Noy, Haifeng He, Malcolm Howells, Uwe Weierstall, John C H Spence

Research output: Contribution to journalArticle

21 Scopus citations


SPEDEN is a computer program that reconstructs the electron density of single particles from their X-ray diffraction patterns, using a single-particle adaptation of the holographic method in crystallography [Szöke, Szöke & Somoza (1997). Acta Cryst. A53, 291-313]. The method, like its parent, is unique because it does not rely on 'back' transformation from the diffraction pattern into real space and on interpolation within measured data. It is designed to deal successfully with sparse, irregular, incomplete and noisy data. It is also designed to use prior information for ensuring sensible results and for reliable convergence. This article describes the theoretical basis for the reconstruction algorithm, its implementation, and quantitative results of tests on synthetic and experimentally obtained data. The program could be used for determining the structures of radiation-tolerant samples and, eventually, of large biological molecular structures without the need for crystallization.

Original languageEnglish (US)
Pages (from-to)294-305
Number of pages12
JournalActa Crystallographica Section A: Foundations of Crystallography
Issue number4
StatePublished - Jul 2004
Externally publishedYes

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Structural Biology

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    Hau-Riege, S. P., Szoke, H., Chapman, H. N., Szoke, A., Marchesini, S., Noy, A., He, H., Howells, M., Weierstall, U., & Spence, J. C. H. (2004). SPEDEN: Reconstructing single particles from their diffraction patterns. Acta Crystallographica Section A: Foundations of Crystallography, 60(4), 294-305. https://doi.org/10.1107/S0108767304010293