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A new method for the evaluation of small-angle scattering data
Abstract
A new numerical method is presented for simultaneous smoothing, desmearing and Fourier transformation of X-ray and neutron small-angle scattering data. The method can only be applied to scattering curves from dilute particle systems, i.e. for scattering media whose distance distributions are zero beyond a certain value. The distance distribution of the scattering medium is approximated by a linear combination of about 20 to 30 cubic B-splines. These spline functions have a restricted extension in real space. Their coefficients are adjusted by a weighted least-squares operation so that the series, after being Fourier transformed and smeared according to the geometry and wavelength distribution, represents an optimum smoothed approximation of the experimental data. Tendencies towards oscillations in the least-squares operation are suppressed by a new stabilization routine. The method offers a new possibility for the estimation of the radius of gyration, which is generally superior to the Guinier approximation.
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Cited by
Pedersen, J. S. (1997) · Advances in Colloid and Interface Science · doi:10.1016/s0001-8686(97)00312-6 · Cited by 1,653
Putnam, C. D., Hammel, M., Hura, G. L., & Tainer, J. A. (2007) · Quarterly Reviews of Biophysics · doi:10.1017/s0033583507004635 · Cited by 1,184
Structural characterization of proteins and complexes using small-angle X-ray solution scattering
Mertens, H. D. T., & Svergun, D. I. (2010) · Journal of Structural Biology · doi:10.1016/j.jsb.2010.06.012 · Cited by 567
Sterilizable Gels from Thermoresponsive Block Copolymer Worms
Blanazs, A., Verber, R., Mykhaylyk, O. O., Ryan, A. J., Heath, J. Z., Douglas, C. W. I., & Armes, S. P. (2012) · Journal of the American Chemical Society · doi:10.1021/ja3024059 · Cited by 396
Ree, B. J., Lee, J., Satoh, Y., Kwon, K., Isono, T., Satoh, T., & Ree, M. (2018) · Polymers · doi:10.3390/polym10121347 · Cited by 31
Metadata
- Authors
- Glatter, O.
- Venue
- Journal of Applied Crystallography
- Published
- 1977-10-01
- Volume
- 10
- Issue
- 5
- Pages
- 415-421
- ISSN
- 0021-8898 (ISSN-L)
- OpenAlex
- W2094253502
- Cited by
- 1,279
- References
- 0
- FWCI
- 10.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- Glatter, O. (1977). A new method for the evaluation of small-angle scattering data. Journal of Applied Crystallography. https://doi.org/10.1107/s0021889877013879
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
