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X-Ray Diffraction in Random Layer Lattices
Abstract
Random layer lattice structures are considered which consist of layers arranged parallel and equidistant, but random in translation parallel to the layer, and rotation about the normal. We call $a$ and $b$ the axes in the layer, and $c$ the axis normal to the layer. In this notation there will be crystalline reflections of type ($00l$), two-dimensional lattice reflections of type ($\mathrm{hk}$), and no general reflections ($\mathrm{hkl}$). Equations are developed for the intensity distribution in a two-dimensional powder reflection, and for the integrated intensity. Equations are also de-developed for the particle size in terms of the peak breadth, and for the displacement of the peak. The powder pattern of a heat treated carbon black is presented as an illustration of two-dimensional lattice reflections.
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Cited by
Haynes, B. S., & Wagner, H. G. (1981) · Progress in Energy and Combustion Science · doi:10.1016/0360-1285(81)90001-0 · Cited by 1,045
Mechanism of lithium insertion in hard carbons prepared by pyrolysis of epoxy resins
Liu, Y., Xue, J. S., Zheng, T., & Dahn, J. R. (1996) · Carbon · doi:10.1016/0008-6223(96)00177-7 · Cited by 732
Saurel, D., Orayech, B., Xiao, B., Carriazo, D., Li, X., & Rojo, T. (2018) · Advanced Energy Materials · doi:10.1002/aenm.201703268 · Cited by 668
Assessing the structural properties of graphitic and non-graphitic carbons by Raman spectroscopy
Schuepfer, D. B., Badaczewski, F., Guerra-Castro, J. M., Hofmann, D. M., Heiliger, C., Smarsly, B., & Klar, P. J. (2020) · Carbon · doi:10.1016/j.carbon.2019.12.094 · Cited by 622
Rao, C. N. R., Satishkumar, B. C., Govindaraj, A., & Nath, M. (2001) · ChemPhysChem · doi:10.1002/1439-7641(20010216)2:2<78::aid-cphc78>3.0.co;2-7 · Cited by 586
Metadata
- Authors
- Warren, B. E.
- Venue
- Physical Review
- Publisher
- American Physical Society (APS)
- Published
- 1941-05-01
- Volume
- 59
- Issue
- 9
- Pages
- 693-698
- ISSN
- 0031-899X (ISSN-L)
- OpenAlex
- W2037714018
- Cited by
- 1,362
- References
- 0
- FWCI
- 7.19
- Type
- journal article
- Language
- en
- Open access
- closed
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- Warren, B. E. (1941). X-Ray Diffraction in Random Layer Lattices. Physical Review. https://doi.org/10.1103/physrev.59.693
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
