Journal of Spectroscopy

Research Article

Statistically Coherent Calibration of X-Ray Fluorescence Spectrometry for Major Elements in Rocks and Minerals

Table 1

Instrumental sensitivities (x-y: concentration-matrix-corrected intensity (Conc-IntCorr) regression model; mean and 99% uncertainty) for major elements.


Element	Regression		Number of data pairs (calibrators)	Regression equation parameters						Quality of regression equation
Element	Variables -	Model	Number of data pairs (calibrators)	Intercept ()			Slope ()

SiO₂	Conc-IntCorr	OLR	60	−47.8441	13.1332	34.9772	6.3592	0.2401	0.6395	0.96105	0.92362
SiO₂	Conc-IntCorr	UWLR	60	0.1035	5.3870	14.3471	5.3476	0.0985	0.2623	0.99157	0.98321

TiO₂	Conc-IntCorr	OLR	60	−0.2298	0.3000	0.7991	13.2255	0.2889	0.7694	0.98644	0.97307
TiO₂	Conc-IntCorr	UWLR	60	−0.0188	0.2637	0.7024	12.3181	0.2539	0.6763	0.99113	0.98235

Al₂O₃	Conc-IntCorr	OLR	60	8.1398	4.1673	11.0987	6.1191	0.2269	0.6043	0.96237	0.92615
Al₂O₃	Conc-IntCorr	UWLR	60	0.0594	3.0552	8.1369	7.0715	0.1663	0.4430	0.98557	0.97135

Fe₂O₃^t	Conc-IntCorr	OLR	60	12.2628	2.4739	6.5886	4.3943	0.1337	0.3561	0.97419	0.94904
Fe₂O₃^t	Conc-IntCorr	UWLR	60	0.0715	2.7723	7.3835	5.4403	0.1498	0.3991	0.98112	0.96259

MnO	Conc-IntCorr	OLR	60	2.0367	0.2963	0.7891	46.1686	0.6958	1.8531	0.99348	0.98700
MnO	Conc-IntCorr	UWLR	60	0.0147	0.7535	2.0069	59.6875	1.7695	4.7127	0.99160	0.98328

MgO	Conc-IntCorr	OLR	60	1.1050	1.0231	2.7246	3.6928	0.0901	0.2400	0.98317	0.96662
MgO	Conc-IntCorr	UWLR	60	0.0108	0.9641	2.5676	3.9863	0.0849	0.2262	0.98745	0.97505

CaO	Conc-IntCorr	OLR	60	−14.3055	3.5661	9.4974	15.4215	0.3371	0.8977	0.98643	0.97304
CaO	Conc-IntCorr	UWLR	60	−0.0121	5.6252	14.9814	11.5666	0.5317	1.4160	0.98657	0.97332

Na₂O	Conc-IntCorr	OLR	60	0.0166	0.1553	0.4137	2.6888	0.0571	0.1521	0.98716	0.97449
Na₂O	Conc-IntCorr	UWLR	60	−0.0111	0.1154	0.3073	2.7843	0.0424	0.1130	0.99344	0.98692

K₂O	Conc-IntCorr	OLR	60	1.2200	0.5896	1.5702	13.8296	0.1431	0.3811	0.99691	0.99383
K₂O	Conc-IntCorr	UWLR	60	−0.1130	0.5491	1.4623	14.4829	0.1333	0.3549	0.99793	0.99587

P₂O₅	Conc-IntCorr	OLR	60	−1.7376	0.5433	1.4469	39.1055	1.2932	3.4442	0.96972	0.94035
P₂O₅	Conc-IntCorr	UWLR	60	0.0626	0.7039	1.8747	29.4822	1.6756	4.4624	0.96926	0.93946

, intercept; , standard error; , uncertainty at 99%; , slope; , linear correlation coefficient; , squared linear correlation coefficient.