Calibration graphs in isotope dilution mass spectrometry

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Journal titleAnalytica Chimica Acta
Pages6367; # of pages: 5
SubjectIsotope dilution; Stable isotope labeled internal standards; Calibration graphs; Nonlinearity
AbstractIsotope-based quantitation is routinely employed in chemical measurements. Whereas most analysts seek for methods with linear theoretical response functions, a unique feature that distinguishes isotope dilution from many other analytical methods is the inherent possibility for a nonlinear theoretical response curve. Most implementations of isotope dilution calibration today either eliminate the nonlinearity by employing internal standards with markedly different molecular weight or they employ empirical polynomial fits. Here we show that the exact curvature of any isotope dilution curve can be obtained from three-parameter rational function, y = f(q) = (a0 + a1q)/(1 + a2q), known as the Padé[1,1] approximant. The use of this function allows eliminating an unnecessary source of error in isotope dilution analysis when faced with nonlinear calibration curves. In addition, fitting with Padé model can be done using linear least squares.
Publication date
AffiliationMeasurement Science and Standards; National Research Council Canada
Peer reviewedYes
NPARC number21276802
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Record identifierc963874f-036a-4da0-9def-eead416e46d9
Record created2015-10-19
Record modified2016-05-09
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