Predictions for pulsed-field-gradient NMR experiments of diffusion in fractal spaces

Damion, R.A.; Packer, K.J.

Abstract

In this paper, theoretical predictions are made for pulsed-field-gradient NMR experiments of diffusion in fractal spaces. We obtain the general q-space behaviour of the NMR signal, which upon Fourier transformation, delivers the probability density for displacements. We also show that there exists a power law behaviour in the limits of large q or small displacements.

Citation

Damion, R., & Packer, K. (1997). Predictions for pulsed-field-gradient NMR experiments of diffusion in fractal spaces. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 453(1956), https://doi.org/10.1098/rspa.1997.0012

• Journal Article Type: Article
• Online Publication Date: Jan 8, 1997
• Publication Date: Jan 8, 1997
• Deposit Date: Dec 5, 2022
• Print ISSN: 1364-5021
• Electronic ISSN: 1471-2946
• Publisher: The Royal Society
• Peer Reviewed: Peer Reviewed
• Volume: 453
• Issue: 1956
• DOI: https://doi.org/10.1098/rspa.1997.0012
• Public URL: https://nottingham-repository.worktribe.com/output/14320803
• Publisher URL: https://royalsocietypublishing.org/doi/10.1098/rspa.1997.0012