Phasing diffuse scattering. Application of the SIR2002 algorithm to the non-crystallographic phase problem

B. Carrozzini, G. L. Cascarano, L. De Caro, C. Giacovazzo, S. Marchesini, H. Chapman, H. He, M. Howells, J. S. Wu, Uwe Weierstall, John Spence

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

A new phasing algorithm has been used to determine the phases of diffuse elastic X-ray scattering from a non-periodic array of gold balls of 50 nm diameter. Two-dimensional real-space images, showing the charge-density distribution of the balls, have been reconstructed at 50 nm resolution from transmission diffraction patterns recorded at 550 eV energy. The reconstructed image fits well with a scanning-electron-microscope (SEM) image of the same sample. The algorithm, which uses only the density modification portion of the SIR2002 program, is compared with the results obtained via the Gerchberg-Saxton-Fienup HiO algorithm. The new algorithm requires no knowledge of the object's boundary and proceeds from low to high resolution. In this way, the relationship between density modification in crystallography and the HiO algorithm used in signal and image processing is elucidated.

Original languageEnglish (US)
Pages (from-to)331-338
Number of pages8
JournalActa Crystallographica Section A: Foundations of Crystallography
Volume60
Issue number4
DOIs
StatePublished - Jul 2004

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Scattering
scattering
balls
Aurothioglucose
Crystallography
Elastic scattering
Charge density
X ray scattering
Gold
Diffraction patterns
crystallography
image processing
density distribution
signal processing
Signal processing
Image processing
Electron microscopes
diffraction patterns
electron microscopes
X-Rays

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Structural Biology

Cite this

Phasing diffuse scattering. Application of the SIR2002 algorithm to the non-crystallographic phase problem. / Carrozzini, B.; Cascarano, G. L.; De Caro, L.; Giacovazzo, C.; Marchesini, S.; Chapman, H.; He, H.; Howells, M.; Wu, J. S.; Weierstall, Uwe; Spence, John.

In: Acta Crystallographica Section A: Foundations of Crystallography, Vol. 60, No. 4, 07.2004, p. 331-338.

Research output: Contribution to journalArticle

Carrozzini, B. ; Cascarano, G. L. ; De Caro, L. ; Giacovazzo, C. ; Marchesini, S. ; Chapman, H. ; He, H. ; Howells, M. ; Wu, J. S. ; Weierstall, Uwe ; Spence, John. / Phasing diffuse scattering. Application of the SIR2002 algorithm to the non-crystallographic phase problem. In: Acta Crystallographica Section A: Foundations of Crystallography. 2004 ; Vol. 60, No. 4. pp. 331-338.
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