Change search
ReferencesLink to record
Permanent link

Direct link
Steady state effects in a two-pulse diffusion-weighted sequence
KTH, School of Chemical Science and Engineering (CHE), Chemistry, Applied Physical Chemistry.
2015 (English)In: Journal of Chemical Physics, ISSN 0021-9606, E-ISSN 1089-7690, Vol. 142, no 15, 154201Article in journal (Refereed) Published
Abstract [en]

In conventional nuclear magnetic resonance (NMR) diffusion measurements a significant amount of experimental time is used up by magnetization recovery, serving to prevent the formation of the steady state, as in the latter case the manifestation of diffusion is modulated by multiple applications of the pulse sequence and conventional diffusion coefficient inference procedures are generally not applicable. Here, an analytical expression for diffusion-related effects in a two-pulse NMR experiment (e.g., pulsed-gradient spin echo) in the steady state mode (with repetition times less than the longitudinal relaxation time of the sample) is derived by employing a Fourier series expansion within the solution of the Bloch-Torrey equations. Considerations are given for the transition conditions between the full relaxation and the steady state experiment description. The diffusion coefficient of a polymer solution (polyethylene glycol) is measured by a two-pulse sequence in the full relaxation mode and for a range of repetition times, approaching the rapid steady state experiment. The precision of the fitting employing the presented steady state solution by far exceeds that of the conventional fitting. Additionally, numerical simulations are performed yielding results strongly supporting the proposed description of the NMR diffusion measurements in the steady state.

Place, publisher, year, edition, pages
2015. Vol. 142, no 15, 154201
Keyword [en]
Fourier series, Nuclear magnetic resonance, Nuclear magnetic resonance spectroscopy, Analytical expressions, Diffusion measurements, Fourier-series expansion, Longitudinal relaxation time, Multiple applications, Nuclear magnetic resonance(NMR), Pulsed gradient spin echos, Transition conditions
National Category
Other Physics Topics
URN: urn:nbn:se:kth:diva-166973DOI: 10.1063/1.4918279ISI: 000353307700025PubMedID: 25903883ScopusID: 2-s2.0-84928473865OAI: diva2:814786

QC 20150528

Available from: 2015-05-28 Created: 2015-05-21 Last updated: 2015-08-05Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textPubMedScopus

Search in DiVA

By author/editor
Stilbs, Peter
By organisation
Applied Physical Chemistry
In the same journal
Journal of Chemical Physics
Other Physics Topics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 17 hits
ReferencesLink to record
Permanent link

Direct link