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
Variables -
Model
Intercept ()
Slope ()
SiO2
Conc-IntCorr
OLR
60
−47.8441
13.1332
34.9772
6.3592
0.2401
0.6395
0.96105
0.92362
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
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
Conc-IntCorr
UWLR
60
0.0594
3.0552
8.1369
7.0715
0.1663
0.4430
0.98557
0.97135
Fe2O3t
Conc-IntCorr
OLR
60
12.2628
2.4739
6.5886
4.3943
0.1337
0.3561
0.97419
0.94904
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
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
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
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
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
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
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.