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An Analytical Derivation of a Popular Approximation of the Voigt Function for Quantification of NMR Spectra

✍ Scribed by Stephen D Bruce; John Higinbotham; Ian Marshall; Paul H Beswick

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 94 KB
Volume: 142
Category: Article
ISSN: 1090-7807
DOI: 10.1006/jmre.1999.1911

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✦ Synopsis

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.

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