Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids
Korb, J.-P. ; Ahadi, M. ; Zientara, G. P. ; Freed, J. H.
College Park, Md. : American Institute of Physics (AIP)
Published 1987
College Park, Md. : American Institute of Physics (AIP)
Published 1987
| ISSN: |
1089-7690
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|---|---|
| Source: |
AIP Digital Archive
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| Topics: |
Physics
Chemistry and Pharmacology
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| Notes: |
The dynamic effects of pair correlation functions (pcf) on spin relaxation by translational diffusion in infinite two-dimensional fluids are considered explicitly through a Smoluchowski equation, for the usual conditional probability, with appropriate boundary conditions, especially at the contact separation of the interacting pair of molecules. The solution of this equation by finite difference techniques permits the calculation of time correlation functions, spectral densities, and spin-relaxation rates associated with a dipolar relaxation mechanism between the spin-bearing molecules. Comparison of the two-dimensional spin-relaxation results obtained with different pcf is presented. The spectral densities and spin-relaxation rates are indeed found to be significantly altered by the pcf. For example, for a nonuniform pcf, the two-dimensional spectral densities, at (and above) the Larmor frequency ω0, are greater for translational correlation times τt that are an order of magnitude faster than τt=ω−10 which provides the maximum spectral density in bulk theory. This fast motion result is consistent with the two-dimensional dynamical results found by other techniques. Moreover for a nonuniform pcf and a single translational correlation time, two well-defined minima are found in the variation of the spin-lattice relaxation time with the diffusion coefficient. This could be very useful for interpreting the spin-relaxation data of diffusing complexes in clays, intercalation compounds, and bilayers.
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| Type of Medium: |
Electronic Resource
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| URL: |
| _version_ | 1798289754948632576 |
|---|---|
| autor | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. |
| autorsonst | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. |
| book_url | http://dx.doi.org/10.1063/1.452254 |
| datenlieferant | nat_lic_papers |
| hauptsatz | hsatz_simple |
| identnr | NLZ21892691X |
| issn | 1089-7690 |
| journal_name | The Journal of Chemical Physics |
| materialart | 1 |
| notes | The dynamic effects of pair correlation functions (pcf) on spin relaxation by translational diffusion in infinite two-dimensional fluids are considered explicitly through a Smoluchowski equation, for the usual conditional probability, with appropriate boundary conditions, especially at the contact separation of the interacting pair of molecules. The solution of this equation by finite difference techniques permits the calculation of time correlation functions, spectral densities, and spin-relaxation rates associated with a dipolar relaxation mechanism between the spin-bearing molecules. Comparison of the two-dimensional spin-relaxation results obtained with different pcf is presented. The spectral densities and spin-relaxation rates are indeed found to be significantly altered by the pcf. For example, for a nonuniform pcf, the two-dimensional spectral densities, at (and above) the Larmor frequency ω0, are greater for translational correlation times τt that are an order of magnitude faster than τt=ω−10 which provides the maximum spectral density in bulk theory. This fast motion result is consistent with the two-dimensional dynamical results found by other techniques. Moreover for a nonuniform pcf and a single translational correlation time, two well-defined minima are found in the variation of the spin-lattice relaxation time with the diffusion coefficient. This could be very useful for interpreting the spin-relaxation data of diffusing complexes in clays, intercalation compounds, and bilayers. |
| package_name | American Institute of Physics (AIP) |
| publikationsjahr_anzeige | 1987 |
| publikationsjahr_facette | 1987 |
| publikationsjahr_intervall | 8014:1985-1989 |
| publikationsjahr_sort | 1987 |
| publikationsort | College Park, Md. |
| publisher | American Institute of Physics (AIP) |
| reference | 86 (1987), S. 1125-1130 |
| search_space | articles |
| shingle_author_1 | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. |
| shingle_author_2 | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. |
| shingle_author_3 | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. |
| shingle_author_4 | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. |
| shingle_catch_all_1 | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids The dynamic effects of pair correlation functions (pcf) on spin relaxation by translational diffusion in infinite two-dimensional fluids are considered explicitly through a Smoluchowski equation, for the usual conditional probability, with appropriate boundary conditions, especially at the contact separation of the interacting pair of molecules. The solution of this equation by finite difference techniques permits the calculation of time correlation functions, spectral densities, and spin-relaxation rates associated with a dipolar relaxation mechanism between the spin-bearing molecules. Comparison of the two-dimensional spin-relaxation results obtained with different pcf is presented. The spectral densities and spin-relaxation rates are indeed found to be significantly altered by the pcf. For example, for a nonuniform pcf, the two-dimensional spectral densities, at (and above) the Larmor frequency ω0, are greater for translational correlation times τt that are an order of magnitude faster than τt=ω−10 which provides the maximum spectral density in bulk theory. This fast motion result is consistent with the two-dimensional dynamical results found by other techniques. Moreover for a nonuniform pcf and a single translational correlation time, two well-defined minima are found in the variation of the spin-lattice relaxation time with the diffusion coefficient. This could be very useful for interpreting the spin-relaxation data of diffusing complexes in clays, intercalation compounds, and bilayers. 1089-7690 10897690 American Institute of Physics (AIP) |
| shingle_catch_all_2 | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids The dynamic effects of pair correlation functions (pcf) on spin relaxation by translational diffusion in infinite two-dimensional fluids are considered explicitly through a Smoluchowski equation, for the usual conditional probability, with appropriate boundary conditions, especially at the contact separation of the interacting pair of molecules. The solution of this equation by finite difference techniques permits the calculation of time correlation functions, spectral densities, and spin-relaxation rates associated with a dipolar relaxation mechanism between the spin-bearing molecules. Comparison of the two-dimensional spin-relaxation results obtained with different pcf is presented. The spectral densities and spin-relaxation rates are indeed found to be significantly altered by the pcf. For example, for a nonuniform pcf, the two-dimensional spectral densities, at (and above) the Larmor frequency ω0, are greater for translational correlation times τt that are an order of magnitude faster than τt=ω−10 which provides the maximum spectral density in bulk theory. This fast motion result is consistent with the two-dimensional dynamical results found by other techniques. Moreover for a nonuniform pcf and a single translational correlation time, two well-defined minima are found in the variation of the spin-lattice relaxation time with the diffusion coefficient. This could be very useful for interpreting the spin-relaxation data of diffusing complexes in clays, intercalation compounds, and bilayers. 1089-7690 10897690 American Institute of Physics (AIP) |
| shingle_catch_all_3 | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids The dynamic effects of pair correlation functions (pcf) on spin relaxation by translational diffusion in infinite two-dimensional fluids are considered explicitly through a Smoluchowski equation, for the usual conditional probability, with appropriate boundary conditions, especially at the contact separation of the interacting pair of molecules. The solution of this equation by finite difference techniques permits the calculation of time correlation functions, spectral densities, and spin-relaxation rates associated with a dipolar relaxation mechanism between the spin-bearing molecules. Comparison of the two-dimensional spin-relaxation results obtained with different pcf is presented. The spectral densities and spin-relaxation rates are indeed found to be significantly altered by the pcf. For example, for a nonuniform pcf, the two-dimensional spectral densities, at (and above) the Larmor frequency ω0, are greater for translational correlation times τt that are an order of magnitude faster than τt=ω−10 which provides the maximum spectral density in bulk theory. This fast motion result is consistent with the two-dimensional dynamical results found by other techniques. Moreover for a nonuniform pcf and a single translational correlation time, two well-defined minima are found in the variation of the spin-lattice relaxation time with the diffusion coefficient. This could be very useful for interpreting the spin-relaxation data of diffusing complexes in clays, intercalation compounds, and bilayers. 1089-7690 10897690 American Institute of Physics (AIP) |
| shingle_catch_all_4 | Korb, J.-P. Ahadi, M. Zientara, G. P. Freed, J. H. Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids The dynamic effects of pair correlation functions (pcf) on spin relaxation by translational diffusion in infinite two-dimensional fluids are considered explicitly through a Smoluchowski equation, for the usual conditional probability, with appropriate boundary conditions, especially at the contact separation of the interacting pair of molecules. The solution of this equation by finite difference techniques permits the calculation of time correlation functions, spectral densities, and spin-relaxation rates associated with a dipolar relaxation mechanism between the spin-bearing molecules. Comparison of the two-dimensional spin-relaxation results obtained with different pcf is presented. The spectral densities and spin-relaxation rates are indeed found to be significantly altered by the pcf. For example, for a nonuniform pcf, the two-dimensional spectral densities, at (and above) the Larmor frequency ω0, are greater for translational correlation times τt that are an order of magnitude faster than τt=ω−10 which provides the maximum spectral density in bulk theory. This fast motion result is consistent with the two-dimensional dynamical results found by other techniques. Moreover for a nonuniform pcf and a single translational correlation time, two well-defined minima are found in the variation of the spin-lattice relaxation time with the diffusion coefficient. This could be very useful for interpreting the spin-relaxation data of diffusing complexes in clays, intercalation compounds, and bilayers. 1089-7690 10897690 American Institute of Physics (AIP) |
| shingle_title_1 | Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids |
| shingle_title_2 | Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids |
| shingle_title_3 | Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids |
| shingle_title_4 | Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids |
| sigel_instance_filter | dkfz geomar wilbert ipn albert |
| source_archive | AIP Digital Archive |
| timestamp | 2024-05-06T08:05:49.437Z |
| titel | Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids |
| titel_suche | Dynamic effects of pair correlation functions on spin relaxation by translational diffusion in two-dimensional fluids |
| topic | U V |
| uid | nat_lic_papers_NLZ21892691X |