In
this article, we compare two analytical methods that have been recently
proposed: the columnar density Saha–Boltzmann plot method of
Cristoforetti and Tognoni (Cristoforetti, G.; Tognoni, E. Spectrochim. Acta, Part B, 2013, 79–80, 63–71) and the C-sigma model of Aragon and Aguilera (Aragon,
C.; Aguilera, J. A. J. Quant. Spectrosc. Radiat. Trans.
2014, 149, 90–102). Both methods
are based on the exploitation of self-absorbed lines for the characterization
of plasmas in laser-induced breakdown spectroscopy experiments. However,
although the two methods can be safely applied in many cases, their
usefulness is limited in many practical cases of interest because
of the intrinsic constraints of the used plasma model or because of
the complexity of the numerical treatment. The two methods are presented
here and critically discussed. Finally, an extended C-sigma approach
is proposed to merge the advantages of the two methods, overcoming
their intrinsic limitations and simplifying the numerical treatment.