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Investigation of non-ideal two-phase polymer structures by small-angle X-ray scattering
Abstract
The mean square of the electron-density gradient, 〈|grad η|2〉 in isotropic structures is shown to be proportional to the fourth moment of the SAXS intensity distribution in reciprocal space ∫s4I(s)ds, as well as to the second derivative of the correlation function in the origin. In the case of two-phase structures with unsharp phase boundaries, these relations may be used to find the thickness E of the transition regions. As was shown by Ruland [J. Appl. Cryst. (1971). 4, 70–73] E can also be determined by analysis of the intensity in the tail of the SAXS pattern. This approach is used here to investigate the effect of E on the one-dimensional correlation function. In the application of both methods, separation of the SAXS intensity from the continuous background of liquid scattering constitutes a critical step. A procedure in which the background is represented by a curve of the type a + bsn, where n is an even number, is found to work well for a number of polymers.
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Citations
Cited by
Crystallization in Block Copolymers
Hamley, I. W. (2007) · Advances in Polymer Science · doi:10.1007/3-540-48836-7_2 · Cited by 175
Baratian, S., Hall, E. S., Lin, J. S., Xu, R., & Runt, J. (2001) · Macromolecules · doi:10.1021/ma001125r · Cited by 148
Chain Segregation in Block Copolymers
Brown, R. A., Masters, A. J., Price, C., & Yuan, X. F. (1989) · Comprehensive Polymer Science and Supplements · doi:10.1016/b978-0-08-096701-1.00043-4 · Cited by 23
Metadata
- Authors
- Vonk, C. G.
- Venue
- Journal of Applied Crystallography
- Published
- 1973-04-01
- Volume
- 6
- Issue
- 2
- Pages
- 81-86
- ISSN
- 0021-8898 (ISSN-L)
- OpenAlex
- W2064097355
- Cited by
- 361
- References
- 0
- FWCI
- 3.75
- Type
- journal article
- Language
- en
- Open access
- closed
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- Vonk, C. G. (1973). Investigation of non-ideal two-phase polymer structures by small-angle X-ray scattering. Journal of Applied Crystallography. https://doi.org/10.1107/s0021889873008204
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