An analytical derivation of a popular approximation of the Voigt function for quantification of NMR spectra
| Autor: | Paul H. Beswick, Stephen Derek Bruce, John Higinbotham, Ian Marshall |
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| Rok vydání: | 2000 |
| Předmět: |
Voigt profile
Physics Nuclear and High Energy Physics Magnetic Resonance Spectroscopy Fourier Analysis Gaussian Mathematical analysis Biophysics Analytical chemistry Function (mathematics) Models Theoretical Condensed Matter Physics Biochemistry Spectral line Spectral line shape symbols.namesake Fourier analysis Line (geometry) Range (statistics) symbols Humans |
| Zdroj: | Journal of magnetic resonance (San Diego, Calif. : 1997). 142(1) |
| ISSN: | 1090-7807 |
| Popis: | The approximation of the Voigt line shape by the linear summation of Lorentzian and Gaussian line shapes of equal width is well documented and has proved to be a useful function for modeling in vivo (1)H NMR spectra. We show that the error in determining peak areas is less than 0.72% over a range of simulated Voigt line shapes. Previous work has concentrated on empirical analysis of the Voigt function, yielding accurate expressions for recovering the intrinsic Lorentzian component of simulated line shapes. In this work, an analytical approach to the approximation is presented which is valid for the range of Voigt line shapes in which either the Lorentzian or Gaussian component is dominant. With an empirical analysis of the approximation, the direct recovery of T(2) values from simulated line shapes is also discussed. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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