[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ skip to main content
10.1145/2683405.2683456acmotherconferencesArticle/Chapter ViewAbstractPublication PagesivcnzConference Proceedingsconference-collections
research-article

Phase retrieval from crystalline diffraction averaged over several different unit cells

Published: 19 November 2014 Publication History

Abstract

In protein nanocrystallography using x-ray lasers, diffraction is measured from an ensemble of very small crystals. The measured diffraction data can sometimes be processed to estimate the continuous Fourier transform intensity of the contents within the unit cell that makes up the crystals. However, in most cases the intensity data are averaged over a number of different kinds of unit cell that can occur in the ensemble. We investigate the properties of this problem and describe two algorithms to reconstruct the electron density of these unit cells from the averaged x-ray diffraction intensity data. The algorithms are evaluated by simulation.

References

[1]
M. Born and E. Wolf. Principles of Optics. Cambridge University Press, 7th edition, 2003.
[2]
H. N. Chapman et al. Femtosecond x-ray protein nanocrystallography. Nature, 470:73--78, 2011.
[3]
J. P. J. Chen and R. P. Millane. Diffraction by nanocrystals II. J. Opt. Soc. Am. A, 31(8):1730--1737, 2014.
[4]
J. P. J. Chen, J. C. H. Spence, and R. P. Millane. Direct phasing in femtosecond nanocrystallography I. diffraction characteristics. Acta Cryst. A, 70:143--153, 2014.
[5]
V. Elser. Phase retrieval by iterated projections. J. Opt. Soc. Am. A, 20(1):40--55, 2003.
[6]
V. Elser. Direct phasing of nanocrystal diffraction. Acta Cryst. A, 69:559--569, 2013.
[7]
V. Elser and R. P. Millane. Reconstruction of an object from its symmetry-averaged diffraction pattern. Acta Cryst. A, 64:273--279, 2008.
[8]
T. Hahn. International Tables for Crystallography, Volume A: Space Group Symmetry. Berlin, New York: Springer-Verlag, 5th edition, 2002.
[9]
R. A. Kirian et al. Femtosecond protein nanocrystallography - data analysis methods. Optics Express, 18(6):5713--5723, 2010.
[10]
R. A. Kirian et al. Phasing coherently illuminated nanocrystals with random edge terminations. Phil. Trans. R. Soc. B, 369:2013331, 2014.
[11]
S. Marchesini. A unified evaluation of iterative projection algorithms for phase retrieval. Rev. Sci. Instrum., 78:011301, 2007.
[12]
R. P. Millane. Phase retrieval in crystallography and optics. J. Opt. Soc. Am. A, 7(3):394--411, 1990.
[13]
J. C. H. Spence et al. Phasing of coherent femtosecond x-ray diffraction from size-varying nanocrystals. Optics Express, 19(4):2866--2873, 2011.
[14]
J. C. H. Spence, U. Weierstall, and H. N. Chapman. X-ray lasers for structural and dynamic biology. Rep. Prog. Phys., 75:102601, 2012.

Recommendations

Comments

Please enable JavaScript to view thecomments powered by Disqus.

Information & Contributors

Information

Published In

cover image ACM Other conferences
IVCNZ '14: Proceedings of the 29th International Conference on Image and Vision Computing New Zealand
November 2014
298 pages
ISBN:9781450331845
DOI:10.1145/2683405
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

In-Cooperation

  • The University of Waikato

Publisher

Association for Computing Machinery

New York, NY, United States

Publication History

Published: 19 November 2014

Permissions

Request permissions for this article.

Check for updates

Author Tags

  1. crystallography
  2. image reconstruction
  3. iterative search algorithms
  4. nanocrystals
  5. phase retrieval
  6. symmetry
  7. x-ray free-electron lasers

Qualifiers

  • Research-article
  • Research
  • Refereed limited

Conference

IVCNZ '14

Acceptance Rates

IVCNZ '14 Paper Acceptance Rate 55 of 74 submissions, 74%;
Overall Acceptance Rate 55 of 74 submissions, 74%

Contributors

Other Metrics

Bibliometrics & Citations

Bibliometrics

Article Metrics

  • 0
    Total Citations
  • 49
    Total Downloads
  • Downloads (Last 12 months)0
  • Downloads (Last 6 weeks)0
Reflects downloads up to 31 Dec 2024

Other Metrics

Citations

View Options

Login options

View options

PDF

View or Download as a PDF file.

PDF

eReader

View online with eReader.

eReader

Media

Figures

Other

Tables

Share

Share

Share this Publication link

Share on social media