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The boundary between liquidlike and solidlike behavior in magnetic resonance

Publication ,  Journal Article
Warren, WS; Ahn, S
Published in: Journal of Chemical Physics
January 22, 1998

Recent experimental work in two-dimensional solution NMR (nuclear magnetic resonance) has demonstrated anomalous cross-peaks and additional resonances due to dipolar couplings between distant nuclei. These spectra have been analyzed either classically, using Bloch equations which include a mean-field approximation to the demagnetizing field, or quantum mechanically, using a full density matrix picture which shows that the peaks correspond to intermolecular multiple-quantum coherences (iMQCs). Here we use a density matrix treatment to predict intensities in solution for dipolar effects conventionally seen in solids; we also explore in detail the fundamental differences between dipolar effects in solids and liquids. For example, even though polarization transfer via the dipolar Hamiltonian in solution is not possible, indirect detection with substantial signal enhancement is possible. We find that, even for high-γ nuclei such as 1H or 3He, solidlike dipolar effects are quite small unless the diffusion constant is roughly one million times smaller than that of water - which means that deviations between the quantum and classical treatments are barely observable in solution NMR, and that even solid 3He has liquidlike dipolar effects in agreement with experiment. However, the dipolar correlation function has an extremely unusual functional form - the long time falloff is proportional to t-3/2, not the exponential one commonly encounters. Because of this long falloff, solidlike dipolar effects can be substantial in solution electron spin resonance, and the classical picture of the demagnetizing field would fail in that case. © 1998 American Institute of Physics.

Duke Scholars

Published In

Journal of Chemical Physics

DOI

ISSN

0021-9606

Publication Date

January 22, 1998

Volume

108

Issue

4

Start / End Page

1313 / 1325

Related Subject Headings

  • Chemical Physics
  • 51 Physical sciences
  • 40 Engineering
  • 34 Chemical sciences
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

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ICMJE
MLA
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Warren, W. S., & Ahn, S. (1998). The boundary between liquidlike and solidlike behavior in magnetic resonance. Journal of Chemical Physics, 108(4), 1313–1325. https://doi.org/10.1063/1.475504
Warren, W. S., and S. Ahn. “The boundary between liquidlike and solidlike behavior in magnetic resonance.” Journal of Chemical Physics 108, no. 4 (January 22, 1998): 1313–25. https://doi.org/10.1063/1.475504.
Warren WS, Ahn S. The boundary between liquidlike and solidlike behavior in magnetic resonance. Journal of Chemical Physics. 1998 Jan 22;108(4):1313–25.
Warren, W. S., and S. Ahn. “The boundary between liquidlike and solidlike behavior in magnetic resonance.” Journal of Chemical Physics, vol. 108, no. 4, Jan. 1998, pp. 1313–25. Scopus, doi:10.1063/1.475504.
Warren WS, Ahn S. The boundary between liquidlike and solidlike behavior in magnetic resonance. Journal of Chemical Physics. 1998 Jan 22;108(4):1313–1325.

Published In

Journal of Chemical Physics

DOI

ISSN

0021-9606

Publication Date

January 22, 1998

Volume

108

Issue

4

Start / End Page

1313 / 1325

Related Subject Headings

  • Chemical Physics
  • 51 Physical sciences
  • 40 Engineering
  • 34 Chemical sciences
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences