dorsal/arxiv
View SchemaNMR line shapes of a gas of nuclear spin-1/2 molecules in fluctuating nano-containers
| Authors | E. B. Fel'dman, M. G. Rudavets |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0409076 |
| URL | https://arxiv.org/abs/quant-ph/0409076 |
| DOI | 10.1016/j.cplett.2004.08.086 |
| Journal | Chemical Physics Letters V396 (2004) pp. 458-464 |
Abstract
Reported in this paper is the impact of the fluctuations of the geometry of the nano-meter gas containers in the medium on the NMR line shape of the gas inside of the nano-containers. We calculate exactly the NMR line shape of the gas of spin-1/2 carrying molecules for two typical dynamics of the nano-container volume and the orientation with respect to the external magnetic field: (i) for a Gaussian stochastic dynamics, and (ii) for the regular harmonic vibrations. For the Gaussian ensemble of static disordered containers having an infinite correlation time, $\tau_{\sf c} \to \infty $, the overall line shape is shown to obey a logarithmic low frequency asymptotics, $ I(\omega) = {const} \times \ln (\frac{1}{\omega})$, at $\omega \to 0$, and exponentially decaying asymptotics in a high frequency domain. For the Gaussian ensemble of the rapidly fluctuating containers of a finite $\tau_{\sf c}$, the overall line shape has a bell-shaped profile with $\sim \omega^{-4}$ far wing behaviour. In addition, we calculate exactly a satellite structure of the NMR line shape when the nano-bubbles in a liquid are affected by the harmonic deformations due to the acoustic waves.
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"abstract": "Reported in this paper is the impact of the fluctuations of the geometry of\nthe nano-meter gas containers in the medium on the NMR line shape of the gas\ninside of the nano-containers. We calculate exactly the NMR line shape of the\ngas of spin-1/2 carrying molecules for two typical dynamics of the\nnano-container volume and the orientation with respect to the external magnetic\nfield: (i) for a Gaussian stochastic dynamics, and (ii) for the regular\nharmonic vibrations. For the Gaussian ensemble of static disordered containers\nhaving an infinite correlation time, $\\tau_{\\sf c} \\to \\infty $, the overall\nline shape is shown to obey a logarithmic low frequency asymptotics, $\nI(\\omega) = {const} \\times \\ln (\\frac{1}{\\omega})$, at $\\omega \\to 0$, and\nexponentially decaying asymptotics in a high frequency domain. For the Gaussian\nensemble of the rapidly fluctuating containers of a finite $\\tau_{\\sf c}$, the\noverall line shape has a bell-shaped profile with $\\sim \\omega^{-4}$ far wing\nbehaviour. In addition, we calculate exactly a satellite structure of the NMR\nline shape when the nano-bubbles in a liquid are affected by the harmonic\ndeformations due to the acoustic waves.",
"arxiv_id": "quant-ph/0409076",
"authors": [
"E. B. Fel\u0027dman",
"M. G. Rudavets"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.cplett.2004.08.086",
"journal_ref": "Chemical Physics Letters V396 (2004) pp. 458-464",
"title": "NMR line shapes of a gas of nuclear spin-1/2 molecules in fluctuating nano-containers",
"url": "https://arxiv.org/abs/quant-ph/0409076"
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