“…Although the three dimensionality estimators have been applied successfully in several studies (Fay et al, 1992;Ruitenbeek et al, 2000;Ciuparu et al, 2005;Jalilehvand et al, 2006;Kirpichtchikova et al, 2006;Mah & Jalilehvand, 2008Breynaert et al, 2010;Manceau & Matynia, 2010;Wieland et al, 2010), they frequently run into difficulties with over-or under-estimation of PCs Panfili et al, 2005;Sarret et al, 2004;Má rquez-Alvarez et al, 1997;Conti et al, 2010). Deviation from the real number of chemical species (r) notably occurs when the experimental noise is close to the variation in the data, the data normalized inconsistently from a spectrum to another, and some component species either minor, their fractional weight statistically constant in the dataset, or their spectral features indistinct (Fay et al, 1992;Beauchemin et al, 2002;Manceau et al, 2002;Rossberg & Scheinost, 2005).…”