An exact solution for R in CPMG experiments in the case of two site chemical exchange
The Carr-Purcell-Meiboom-Gill (CPMG) experiment is widely used to quantitatively analyse the effects of chemical exchange on NMR spectra. In a CPMG experiment, the effective transverse relaxation rate, R , is typically measured as a function of the pulse frequency, ν. Here, an exact expression for h...
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| Format: | Journal article |
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2014
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| _version_ | 1797081687213998080 |
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| author | Baldwin, A |
| author_facet | Baldwin, A |
| author_sort | Baldwin, A |
| collection | OXFORD |
| description | The Carr-Purcell-Meiboom-Gill (CPMG) experiment is widely used to quantitatively analyse the effects of chemical exchange on NMR spectra. In a CPMG experiment, the effective transverse relaxation rate, R , is typically measured as a function of the pulse frequency, ν. Here, an exact expression for how R varies with ν is derived for the commonly encountered scenario of two-site chemical exchange of in-phase magnetisation. This result, summarised in Appendix A, generalises a frequently used equation derived by Carver and Richards, published in 1972. The expression enables more rapid analysis of CPMG data by both speeding up calculation of R over numerical methods by a factor of ca. 130, and yields exact derivatives for use in data analysis. Moreover, the derivation provides insight into the physical principles behind the experiment. © 2014 Elsevier Inc. All rights reserved. |
| first_indexed | 2024-03-07T01:17:28Z |
| format | Journal article |
| id | oxford-uuid:8f2d95f5-bd47-4e4e-a4f5-092715ff251a |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:17:28Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | oxford-uuid:8f2d95f5-bd47-4e4e-a4f5-092715ff251a2022-03-26T23:02:35ZAn exact solution for R in CPMG experiments in the case of two site chemical exchangeJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8f2d95f5-bd47-4e4e-a4f5-092715ff251aSymplectic Elements at Oxford2014Baldwin, AThe Carr-Purcell-Meiboom-Gill (CPMG) experiment is widely used to quantitatively analyse the effects of chemical exchange on NMR spectra. In a CPMG experiment, the effective transverse relaxation rate, R , is typically measured as a function of the pulse frequency, ν. Here, an exact expression for how R varies with ν is derived for the commonly encountered scenario of two-site chemical exchange of in-phase magnetisation. This result, summarised in Appendix A, generalises a frequently used equation derived by Carver and Richards, published in 1972. The expression enables more rapid analysis of CPMG data by both speeding up calculation of R over numerical methods by a factor of ca. 130, and yields exact derivatives for use in data analysis. Moreover, the derivation provides insight into the physical principles behind the experiment. © 2014 Elsevier Inc. All rights reserved. |
| spellingShingle | Baldwin, A An exact solution for R in CPMG experiments in the case of two site chemical exchange |
| title | An exact solution for R in CPMG experiments in the case of two site chemical exchange |
| title_full | An exact solution for R in CPMG experiments in the case of two site chemical exchange |
| title_fullStr | An exact solution for R in CPMG experiments in the case of two site chemical exchange |
| title_full_unstemmed | An exact solution for R in CPMG experiments in the case of two site chemical exchange |
| title_short | An exact solution for R in CPMG experiments in the case of two site chemical exchange |
| title_sort | exact solution for r in cpmg experiments in the case of two site chemical exchange |
| work_keys_str_mv | AT baldwina anexactsolutionforrincpmgexperimentsinthecaseoftwositechemicalexchange AT baldwina exactsolutionforrincpmgexperimentsinthecaseoftwositechemicalexchange |