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The determination of diffuse-boundary thicknesses of polymers by small-angle X-ray scattering
Abstract
Thermal density fluctuations within phases and finite interphase widths lead to systematic deviations from Porod's law. The validity of present methods used to analyze these deviations and determine diffuse-boundary widths is determined. In view of the inadequacies found in these methods, a simple yet accurate method is proposed to determine the diffuse-boundary width from direct graphical analysis of slit-smeared intensity data. The diffuse interface is modelled by a sigmoidal-gradient model which is justified on thermodynamic grounds, with the interphase thickness as a function of the Flory–Huggins interaction parameter.
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Citations
Cited by
Small-Angle X-ray Scattering of Polymers
Chu, B., & Hsiao, B. S. (2001) · Chemical Reviews · doi:10.1021/cr9900376 · Cited by 455
Storey, R. F., & Baugh, D. W. (2000) · Polymer · doi:10.1016/s0032-3861(99)00512-1 · Cited by 54
Ai, J., Zeng, B., Pang, Y., Xia, M., Shen, J., Zheng, Y., & Guo, S. (2024) · ACS Sustainable Chemistry & Engineering · doi:10.1021/acssuschemeng.4c05461 · Cited by 3
Metadata
- Authors
- Koberstein, J. T., Morra, B., & Stein, R. S.
- Venue
- Journal of Applied Crystallography
- Published
- 1980-02-01
- Volume
- 13
- Issue
- 1
- Pages
- 34-45
- ISSN
- 0021-8898 (ISSN-L)
- OpenAlex
- W2077537974
- Cited by
- 431
- References
- 0
- FWCI
- 8.78
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The determination of diffuse-boundary thicknesses of polymers by small-angle X-ray scattering. https://app.cochat.ai/papers/10.1107/s0021889880011478
- The paper
- Koberstein, J. T., Morra, B., & Stein, R. S. (1980). The determination of diffuse-boundary thicknesses of polymers by small-angle X-ray scattering. Journal of Applied Crystallography. https://doi.org/10.1107/s0021889880011478
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
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.
