A uniform nonlinearity criterion for rational functions applied to calibration curve and standard addition methods

Anna Maria Michałowska-Kaczmarczyk; Agustin G Asuero; Julia Martin; Esteban Alonso; Jose Marcos Jurado; Tadeusz Michałowski

doi:10.1016/j.talanta.2014.04.067

A uniform nonlinearity criterion for rational functions applied to calibration curve and standard addition methods

Talanta. 2014 Dec:130:307-14. doi: 10.1016/j.talanta.2014.04.067. Epub 2014 May 10.

Authors

Anna Maria Michałowska-Kaczmarczyk¹, Agustin G Asuero², Julia Martin², Esteban Alonso², Jose Marcos Jurado², Tadeusz Michałowski³

Affiliations

¹ Department of Oncology, The University Hospital in Cracow, 31-501 Cracow, Poland.
² Department of Analytical Chemistry, The University of Seville, 41012 Seville, Spain.
³ Faculty of Engineering and Chemical Technology, Technical University of Cracow, Warszawska 24, 31-155 Cracow, Poland. Electronic address: michalot@o2.pl.

PMID: 25159414
DOI: 10.1016/j.talanta.2014.04.067

Abstract

Rational functions of the Padé type are used for the calibration curve (CCM), and standard addition (SAM) methods purposes. In this paper, the related functions were applied to results obtained from the analyses of (a) nickel with use of FAAS method, (b) potassium according to FAES method, and (c) salicylic acid according to HPLC-MS/MS method. A uniform, integral criterion of nonlinearity of the curves, obtained according to CCM and SAM, is suggested. This uniformity is based on normalization of the approximating functions within the frames of a unit area.

Keywords: Calibration; Chemical analysis; Curve fitting; Rational functions; Standard addition.