Statistically coherent calibration of X-ray fluorescence spectrometry for

major elements in rocks and minerals

Surendra P. Verma, Sanjeet K. Verma, M. Abdelaly Rivera-Gómez, Darío Torres-

Sánchez, Lorena Díaz-González, Alejandra Amezcua-Valdez, Beatriz Adriana Rivera-

Escoto, Mauricio Rosales-Rivera, John S. Armstrong-Altrin, Héctor López-Loera,

Fernando Velasco-Tapia, Kailasa Pandarinath

TABLE S1 Geochemical reference materials (GRMs) processed and used for the calibration of XRF

spectrometry GRM

name

GRM type Issuing country Literature

compilation year

[reference]

Number of

other compiled

references ACE granite France 1987 [31] 10 ANG anorthosite France (sample from Greenland) 1980 [32] 3

BEN basalt France 1980 [32] 20

BHVO1 basalt USA 1988 [33] 102 BXN bauxite France 1982 [34] 9

DNC1 diorite USA 1988 [35] 34

DRN diorite France 1982 [34] 15 DTN disthene (kyanite) France 1982 [34] 4

FER1 iron formation Canada 1983[36] 2 FER2 iron formation Canada 1983[36] 5

FER3 iron formation Canada 1983[36] 0

FER4 iron formation Canada 1983[36] 0 FKN potash feldspar France 1984 [37] 5

GSN granite France 1984 [37] 12

GXR1 jasperoid USA 1984, 1990 [38, 39] 6 GXR2 soil USA 1984, 1990 [38, 39] 5

GXR3 Fe-Mn-W-rich hot springs deposit USA 1984, 1990 [38, 39] 5

GXR4 Porphyry copper mill heads USA 1984, 1990 [38, 39] 5 GXR5 soil USA 1984, 1990 [38, 39] 3

GXR6 soil USA 1984, 1990 [38, 39] 5

IFG iron formation France (sample from Greenland) 1984 [40] 4 JA1 andesite Japan 1995 [41] * 29

JA2 andesite Japan 1995 [41] * 52

JB1 basalt Japan 1995 [41] * 20 JB1a basalt Japan 1995 [41] * 31

JB2 basalt Japan 1995 [41] * 66

JB3 basalt Japan 1995 [41] * 46 JCh1 chert Japan 1990 [42] * 0

JDo1 dolomite Japan 1990 [42] * 7

JF1 feldspar Japan 1995 [41] * 7 JG1 granodiorite Japan 1995 [41] * 3

JG1a granodiorite Japan 1995 [41] * 25

JG2 granite Japan 1995 [41] * 16 JGb1 gabbro Japan 1995 [41] * 27

JLk1 lake sediment Japan 1990 [42] * 7

JLs1 limestone Japan 1990 [42] * 7 JP1 peridotite Japan 1995 [41] * 31

JR1 rhyolite Japan 1995 [41] * 32

JR2 rhyolite Japan 1995 [41] * 20 JR3 rhyolite Japan 1990 [43] * 8

JSd1 sediment Japan 1990 [42] * 7

JSd2 sediment Japan 1990 [42] * 7 JSl2 slate Japan 1990 [42] * 5

MAN granite France 1980 [32] 0

MRG1 gabbro Canada 1979 [44] 17 MicaFe biotite France 1979 [45] 4

MicaMg phlogopite France 1979 [45] 1

NIMD dunite South Africa 1979 [46] 9 NIMG granite South Africa 1979 [46] 21

NIML lujavrite South Africa 1979 [46] 8

NIMN norite South Africa 1979 [46] 9

NIMP pyroxenite South Africa 1979 [46] 6

NIMS syenite South Africa 1979 [46] 5

SDC1 mica schist USA 1988 [33] 6 SY2 syenite Canada 1979 [44] 9

SY3 syenite Canada 1979 [44] 14

UBN serpentine France 1982 [34] 23 W1 diabase USA 1991 [47] 14

W2 diabase USA 1988 [35] 54

* The initial database was complemented from the internet site https://gbank.gsj.jp/geostandards/welcome.html, also from

www.aist.go.jp/RIODB/geostand; this latter e-address no longer exists. Complete list of the compiled references is available at

http://tlaloc.ier.unam.mx.

TABLE S2 Statistical information (mean x and 99% uncertainty 99u or simply 𝑢 in the text) of major element concentrations (C, %m/m; mass/mass unit expressed in percentage, also

called wt. %) and measured drift-corrected intensities (I, kc s-1) for the GRMs used for the XRF calibrations GRM

(C/I)

SiO2 TiO2 Al2O3 Fe2O3t

MnO MgO CaO Na2O K2O P2O5

�̅� 𝑢99

�̅� 𝑢99 �̅� 𝑢99

�̅� 𝑢99

�̅� 𝑢99

�̅� 𝑢99 �̅� 𝑢99

�̅� 𝑢99 �̅� 𝑢99

�̅� 𝑢99 Concentration data (rounded values)

ACE 70.506 0.074 0.10935 0.00293 14.730 0.048 2.5521 0.0232 0.05855 0.00132 0.02451 0.00231 0.342 0.0084 6.5597 0.0335 4.4879 0.0153 0.0115 0.00137

ANG 46.365 0.128 0.22396 0.00391 29.723 0.128 3.3425 0.0269 0.04286 0.00198 1.8223 0.0257 15.940 0.091 1.6507 0.0329 0.1354 0.0048 0.02327 0.00408

BEN 38.435 0.083 2.6406 0.0171 10.0669 0.0396 12.8531 0.0421 0.20143 0.00387 13.197 0.064 13.976 0.048 3.1895 0.0192 1.404 0.0072 1.0642 0.0139

BHVO1 49.789 0.072 2.7335 0.0113 13.6579 0.0309 12.220 0.055 0.16907 0.00086 7.2082 0.0188 11.4295 0.0240 2.3105 0.0197 0.52572 0.00213 0.27806 0.00204

BXN 7.389 0.102 2.377 0.069 54.434 0.275 23.061 0.131 0.0486 0.0087 0.136 0.0365 0.1748 0.0327 0.076 0.0333 0.0648 0.0141 0.1405 0.0353

DNC1 47.163 0.202 0.5055 0.0075 18.519 0.075 9.891 0.053 0.14779 0.00145 10.193 0.064 11.317 0.079 1.9285 0.0113 0.2292 0.0049 0.0753 0.0048

DRN 52.891 0.193 1.0945 0.0113 17.559 0.090 9.755 0.082 0.21936 0.00400 4.399 0.059 7.0657 0.0356 2.957 0.069 1.7089 0.0154 0.2477 0.0105

DTN 36.538 0.227 1.376 0.058 59.097 0.204 0.619 0.051 0.0086 0.0067 0.0916 0.0274 0.0506 0.0218 0.0379 0.0129 0.1243 0.0076 0.0896 0.0228

FER1 16.915 0.249 0.0262 0.0072 0.4958 0.0316 75.761 0.150 0.2297 0.0060 0.2966 0.0179 3.298 0.068 0.0126 0.0050 0.0166 0.0055 2.421 0.051

FER2 49.059 0.226 0.1855 0.0056 5.173 0.065 39.313 0.196 0.11969 0.00211 2.0965 0.0406 2.1671 0.0287 0.4977 0.0256 1.3091 0.0361 0.2684 0.0083

FER3 53.02 0.62 0.0129 0.0061 0.0969 0.0226 44.573 0.229 0.08079 0.00271 0.9996 0.0330 0.8359 0.0418 0.0088 0.0049 0.0259 0.0088 0.0702 0.0088

FER4 49.93 0.50 0.0646 0.0048 1.680 0.068 39.933 0.130 0.19138 0.00251 1.402 0.055 2.259 0.060 0.0268 0.0063 0.2918 0.0129 0.127 0.0069

FKN 65.10 0.136 0.0155 0.0070 18.573 0.114 0.088 0.0111 0.00406 0.00115 0.0111 0.00295 0.1149 0.0129 2.5585 0.0368 12.772 0.064 0.01955 0.00277

GSN 65.809 0.149 0.6691 0.0078 14.619 0.067 3.718 0.046 0.05628 0.00282 2.3017 0.0391 2.4779 0.0227 3.753 0.053 4.6015 0.0427 0.28 0.00336

GXR1 48.37 0.90 0.0457 0.0090 6.697 0.216 35.69 0.55 0.11168 0.0038 0.3624 0.028 1.242 0.047 0.0706 0.0064 0.05802 0.00281 0.1475 0.0120

GXR2 47.696 1.066 0.4845 0.0260 35.05 0.69 2.718 0.057 0.12357 0.00332 1.418 0.076 1.2376 0.0383 0.759 0.050 1.6355 0.0334 0.149 0.083

GXR3 13.335 0.376 0.1733 0.0052 12.07 0.56 27.283 0.314 3.0036 0.0422 1.357 0.042 19.215 0.337 1.14 0.076 0.8923 0.0304 0.248 0.076

GXR4 65.98 0.94 0.4659 0.0196 14.0 0.6 4.400 0.065 0.01907 0.00092 2.714 0.069 1.386 0.052 0.7428 0.0452 4.876 0.148 0.249 0.077

GXR5 41.202 0.349 0.3946 0.0263 39.172 1.457 4.834 0.127 0.0389 0.00056 1.938 0.070 1.216 0.099 1.028 0.119 1.0471 0.0374 0.0754 0.0365

GXR6 47.002 1.438 0.8537 0.0311 32.24 1.239 8.058 0.076 0.13081 0.0037 1.020 0.047 0.2976 0.0343 0.1426 0.0074 2.286 0.079 0.0771 0.0304

IFG 41.327 0.091 0.008 0.00144 0.1479 0.0102 56.051 0.163 0.04026 0.00166 1.9097 0.022 1.5755 0.0297 0.02291 0.00236 0.00632 0.00121 0.06182 0.00377

JA1 63.842 0.124 0.8609 0.0063 15.261 0.046 7.134 0.065 0.15641 0.00215 1.5645 0.0177 5.7094 0.0231 3.8517 0.0144 0.7822 0.0082 0.16149 0.00175

JA2 56.263 0.059 0.67538 0.0035 15.391 0.052 6.3383 0.0313 0.10964 0.00086 7.804 0.074 6.3044 0.0367 3.1064 0.0284 1.7995 0.0097 0.15321 0.00259

JB1 52.223 0.096 1.3214 0.0106 14.5637 0.0382 8.9669 0.0339 0.15471 0.00201 7.7713 0.035 9.2794 0.0284 2.7969 0.0202 1.4339 0.0067 0.2567 0.00306

JB1a 52.479 0.115 1.2865 0.0056 14.467 0.060 9.0571 0.0414 0.13035 0.00050 7.9106 0.0262 9.3013 0.0293 2.7483 0.0215 1.4138 0.0082 0.25997 0.00348

JB2 53.130 0.058 1.1717 0.0047 14.6861 0.0414 14.231 0.050 0.21773 0.00177 4.6259 0.0184 9.8202 0.0220 2.0513 0.0138 0.42117 0.00319 0.09831 0.00325

JB3 50.849 0.078 1.4254 0.0060 17.175 0.068 11.8509 0.0426 0.17618 0.00138 5.155 0.0251 9.7935 0.0190 2.7499 0.0178 0.7674 0.0051 0.28996 0.00164

JCh1 97.882 0.384 0.0267 0.0053 0.7546 0.0377 0.3474 0.0399 0.01721 0.00239 0.0802 0.0138 0.0428 0.0098 0.0315 0.0108 0.22499 0.00433 0.0179 0.0070

JDo1 0.2154 0.0178 0.00156 0.00059 0.01565 0.00393 0.0211 0.00058 0.00646 0.000381 18.588 0.165 33.925 0.285 0.01219 0.00292 0.00229 0.00083 0.03492 0.00300

JF1 66.902 0.144 0.01167 0.00362 18.186 0.097 0.0819 0.0047 0.000969 0.000142 0.00795 0.00143 0.9111 0.0152 3.352 0.067 10.0811 0.0364 0.01059 0.00233

JG1 72.278 0.076 0.2698 0.0063 14.192 0.052 2.1374 0.0172 0.06466 0.00177 0.7392 0.0123 2.1686 0.0077 3.3816 0.0209 3.9745 0.0179 0.08791 0.00195

JG1a 72.414 0.162 0.24504 0.00234 14.246 0.046 1.9917 0.0233 0.05866 0.00083 0.6881 0.0084 2.1422 0.0119 3.4041 0.0200 3.9982 0.0240 0.08013 0.00098

JG2 77.024 0.127 0.04544 0.00207 12.453 0.0338 0.9718 0.0158 0.01735 0.00071 0.04042 0.00373 0.6937 0.0073 3.5416 0.0116 4.7104 0.0172 0.01121 0.0029

JGb1 43.703 0.099 1.6155 0.0064 17.575 0.062 15.147 0.059 0.18955 0.00128 7.8332 0.0288 11.929 0.046 1.2282 0.0119 0.2336 0.0051 0.05282 0.00226

JLk1 57.173 0.239 0.6741 0.0225 16.738 0.119 6.959 0.126 0.2624 0.0073 1.7471 0.0311 0.6857 0.0190 1.0684 0.0275 2.7793 0.0059 0.2133 0.0154

JLs1 0.1083 0.0142 0.00167 0.00056 0.0227 0.006 0.01600 0.00060 0.002078 0.000228 0.5957 0.0226 55.165 0.140 0.0021 0.00047 0.00328 0.00067 0.02944 0.00134

JP1 43.731 0.095 0.003614 0.000312 0.6868 0.0164 8.461 0.060 0.12235 0.00153 46.119 0.132 0.5575 0.0056 0.02217 0.00195 0.03782 0.00061 0.09659 0.00103

JR1 75.535 0.135 0.1105 0.00118 12.848 0.061 0.8926 0.0116 0.10199 0.00335 0.12132 0.00340 0.6943 0.0063 4.0134 0.0294 4.4558 0.0237 0.01928 0.00119

JR2 75.473 0.142 0.06398 0.00282 12.760 0.064 0.7613 0.0106 0.11089 0.00171 0.04708 0.00396 0.5163 0.0159 4.0235 0.0367 4.4701 0.0238 0.00982 0.00182

JR3 72.780 0.403 0.21848 0.0029 11.962 0.109 4.732 0.049 0.08281 0.00209 0.0543 0.0118 0.0926 0.0095 4.754 0.071 4.333 0.062 0.01899 0.00363

JSd1 66.415 0.143 0.6463 0.0108 14.612 0.080 5.076 0.063 0.09104 0.00178 1.8122 0.0258 3.0389 0.0283 2.7309 0.0287 2.1856 0.0144 0.1206 0.0065

JSd2 60.782 0.377 0.6177 0.0115 12.285 0.129 11.446 0.100 0.12039 0.00352 2.7425 0.0413 3.6672 0.0421 2.456 0.064 1.1346 0.0139 0.1086 0.0048

JSl2 59.581 0.272 0.7583 0.0100 17.992 0.099 6.6292 0.0314 0.08287 0.0027 2.388 0.0409 1.8794 0.0352 1.3546 0.0408 2.9528 0.0177 0.1699 0.0140

MAN 66.678 0.140 0.01574 0.00226 17.713 0.099 0.477 0.0118 0.03954 0.00148 0.048 0.0054 0.5879 0.0103 5.8175 0.0426 3.1962 0.0209 1.3833 0.0201

MRG1 39.181 0.110 3.740 0.051 8.478 0.073 17.891 0.106 0.17098 0.00282 13.415 0.071 14.67 0.098 0.7196 0.0146 0.1785 0.0061 0.0645 0.0064

MicaFe 34.455 0.260 2.504 0.061 19.393 0.246 25.7054 0.0423 0.3467 0.0095 4.609 0.105 0.4248 0.0337 0.2848 0.0202 8.792 0.069 0.4319 0.0212

MicaMg 38.227 0.258 1.617 0.074 15.209 0.052 9.492 0.085 0.240 0.0334 20.325 0.206 0.0715 0.0361 0.211 0.108 9.917 0.221 0.0186 0.0150

NIMD 39.000 0.076 0.02002 0.00010 0.383 0.059 17.000 0.088 0.2253 0.0049 43.518 0.196 0.2701 0.0187 0.0148 0.005 0.0172 0.0048 0.00953 0.00104

NIMG 75.755 0.061 0.09405 0.00244 12.138 0.093 2.0099 0.0302 0.01784 0.00113 0.0339 0.0073 0.7762 0.0078 3.371 0.047 4.9955 0.0282 0.00973 0.00097

NIML 52.532 0.122 0.4967 0.0082 13.843 0.154 9.934 0.068 0.7601 0.0070 0.2694 0.0289 3.194 0.056 8.507 0.207 5.541 0.066 0.0614 0.0086

NIMN 52.738 0.081 0.19698 0.00435 16.45 0.064 8.998 0.054 0.18436 0.00374 7.545 0.071 11.523 0.064 2.4683 0.0151 0.2566 0.0112 0.0260 0.0055

NIMP 51.121 0.125 0.1955 0.0063 4.2295 0.0443 12.757 0.076 0.2074 0.0062 25.297 0.120 2.6793 0.0168 0.3652 0.0195 0.0879 0.0050 0.0212 0.00204

NIMS 63.464 0.073 0.03893 0.00429 17.323 0.117 1.4201 0.0289 0.00875 0.00047 0.4713 0.0251 0.6809 0.0254 0.4458 0.0234 15.407 0.107 0.1238 0.0098

SDC1 65.844 0.320 1.0787 0.0361 15.826 0.176 6.865 0.158 0.11256 0.00411 1.711 0.073 1.4158 0.0221 2.055 0.046 3.269 0.053 0.1515 0.0114

SY2 60.141 0.130 0.15034 0.00302 12.068 0.064 6.331 0.052 0.31969 0.00330 2.6843 0.034 8.005 0.054 4.294 0.051 4.4550 0.0314 0.4299 0.0056

SY3 59.417 0.073 0.14678 0.00418 11.7858 0.0995 6.461 0.058 0.3255 0.0046 2.67 0.0389 8.2444 0.045 4.1471 0.0286 4.2153 0.0428 0.5392 0.0117

UBN 39.490 0.111 0.1099 0.0055 2.869 0.072 8.375 0.082 0.12358 0.00375 35.388 0.208 1.2109 0.0202 0.1259 0.0076 0.01924 0.00227 0.0238 0.0064

W1 52.4841

0.036

7

1.0753 0.0075

15.0145 0.0362

11.1118 0.0262

0.16935 0.00118

6.6333 0.0214

10.933 0.0189

2.1683 0.0166

0.6389 0.0049

0.13583 0.00247

W2 52.640 0.104 1.0672 0.0068 15.472 0.0452 10.835 0.0395 0.16853 0.00144 6.404 0.048 10.8718 0.0447 2.2401 0.0195 0.6292 0.0059 0.13599 0.00294

Blank 0 0.001 0 0.001 0 0.001 0 0.001 0 0.001 0 0.001 0 0.001 0 0.001 0 0.001 0 0.001

Intensity data (rounded values)

ACE 436.05 1.39 1.4576 0.0181 112.243 0.388 17.949 0.057 3.9443 0.0386 0.15756 0.00284 4.2596 0.0415 20.316 0.058 65.734 0.162 0.3114 0.0143

ANG 258.10 1.53 2.5514 0.0226 220.99 1.90 19.231 0.081 2.4553 0.0363 8.669 0.052 192.45 1.28 4.7840 0.0393 2.078 0.0216 0.3864 0.0117

BEN 202.73 1.12 30.81 0.48 68.370 0.284 64.946 0.242 10.193 0.046 49.48 1.16 164.25 1.14 10.468 0.072 22.576 0.126 36.127 0.176

BHVO1 229.94 0.69 32.162 0.200 86.310 0.275 64.492 0.210 8.966 0.099 19.42 1.94 127.92 0.49 5.7931 0.0220 7.153 0.0393 5.177 0.064

BXN 26.992 0.086 42.236 0.185 235.47 0.84 157.383 0.149 3.2261 0.0211 0.1463 0.0104 1.7326 0.0074 0.01884 0.00201 0.87385 0.00446 2.6007 0.0238

DNC1 230.78 0.80 5.5181 0.0361 123.46 0.57 56.920 0.180 8.424 0.082 36.02 3.61 131.71 0.68 5.1687 0.0218 3.6472 0.0167 2.5063 0.0377

DRN 277.33 1.22 13.892 0.241 111.69 0.57 57.886 0.254 13.106 0.077 19.776 0.331 80.08 0.46 7.5361 0.0365 24.832 0.096 6.770 0.050

DTN 170.21 0.82 17.550 0.128 436.66 2.16 5.0697 0.0153 0.0940 0.0124 0.1335 0.0182 0.4538 0.0119 0.1082 0.0084 2.1860 0.0098 2.5755 0.0293

FER1 102.93 3.14 -0.06875 0.00409 4.498 0.065 281.689 0.259 13.605 0.059 1.647 0.049 53.925 0.151 0.16629 0.00434 0.2748 0.0057 106.76 1.43

FER2 248.9 9.2 2.9506 0.0210 29.22 0.51 180.62 2.75 7.4862 0.0183 9.058 0.134 26.385 0.446 0.9269 0.0434 22.653 0.182 10.061 0.355

FER3 330.92 1.23 0.02881 0.00286 0.8798 0.0069 191.82 0.85 5.5084 0.0099 8.8806 0.0278 13.4898 0.0371 0.01204 0.00385 0.3291 0.0056 2.4622 0.0293

FER4 263.77 0.90 0.9605 0.0050 15.117 0.087 193.72 1.00 13.6517 0.0402 7.620 0.128 35.807 0.107 0.05944 0.00297 5.5025 0.0110 5.169 0.057

FKN 371.65 0.89 -0.0224 0.0047 131.206 0.340 0.5040 0.0063 0.1329 0.0135 0.0863 0.0114 0.9428 0.0112 6.7000 0.0183 169.343 0.359 0.31134 0.00427

GSN 396.98 2.14 7.934 0.058 109.775 0.440 23.645 0.095 3.3769 0.0183 11.253 0.076 27.3604 0.0349 11.723 0.065 67.223 0.278 8.168 0.059

GXR1 180.17 1.65 0.4351 0.0174 28.565 0.295 202.207 0.432 6.890 0.069 1.100 0.045 14.005 0.089 0.1188 0.0046 0.7009 0.0088 2.8158 0.0369

GXR2 252.56 1.27 6.4433 0.0354 224.50 1.27 21.601 0.057 9.924 0.095 7.617 0.299 14.955 0.061 2.2564 0.0196 23.992 0.090 3.9956 0.0368

GXR3 49.151 0.428 0.3460 0.0227 41.815 0.443 121.149 0.264 136.66 1.42 3.520 0.048 217.90 0.79 1.4653 0.0150 13.014 0.071 5.209 0.080

GXR4 295.73 1.91 5.2103 0.0356 96.49 0.86 27.572 0.066 1.3050 0.0245 13.664 0.167 13.558 0.077 1.7655 0.0149 59.329 0.192 6.628 0.093

GXR5 216.17 0.99 5.4730 0.0392 206.90 1.02 39.560 0.090 2.9752 0.0354 8.98 0.50 13.622 0.054 2.8462 0.0285 15.448 0.053 1.8739 0.0188

GXR6 187.48 1.07 11.4456 0.0315 193.54 1.59 54.926 0.143 9.192 0.090 4.696 0.058 3.2760 0.0319 0.3591 0.0065 27.804 0.075 1.9079 0.0356

IFG 255.83 1.57 0.0724 0.0092 1.3159 0.0221 275.19 0.77 2.4703 0.0353 11.853 0.425 24.473 0.143 0.0749 0.0080 0.1060 0.0058 2.529 0.048

JA1 340.99 2.33 10.926 0.154 97.77 0.75 43.554 0.198 9.658 0.102 4.09 0.51 63.250 0.376 10.676 0.076 10.872 0.063 3.868 0.064

JA2 320.85 1.51 8.737 0.092 110.69 0.65 40.348 0.099 6.704 0.063 29.07 1.11 71.465 0.415 9.128 0.056 26.956 0.094 4.501 0.064

JB1 229.35 1.93 15.940 0.063 78.96 0.85 49.789 0.141 8.260 0.074 19.26 0.65 92.888 0.369 5.853 0.073 20.630 0.095 6.943 0.091

JB1a 265.07 0.50 16.038 0.177 92.593 0.296 51.701 0.164 8.281 0.051 24.29 2.01 98.97 0.62 7.1348 0.0248 21.162 0.056 7.3279 0.0381

JB2 283.87 1.10 14.807 0.076 104.26 0.49 79.327 0.200 12.277 0.064 11.85 0.67 116.15 0.49 6.0060 0.0349 6.1375 0.0289 2.3622 0.0246

JB3 270.27 0.91 15.895 0.114 122.20 0.54 61.253 0.190 9.860 0.048 13.80 0.52 114.76 0.64 8.163 0.056 12.105 0.050 8.568 0.114

JCh1 757.01 2.25 0.3026 0.0123 7.582 0.052 3.1168 0.0209 1.3370 0.0210 0.5252 0.0229 0.5561 0.0126 0.1519 0.0056 3.1692 0.0158 0.4203 0.0119

JDo1 1.5445 0.0099 0.01082 0.00378 0.17408 0.00407 0.14232 0.00412 0.3541 0.0099 81.98 1.18 570.07 1.89 0.01432 0.00261 0.0070 0.0048 1.5581 0.0148

JF1 380.32 1.18 -0.4834 0.0053 128.219 0.447 0.5792 0.0046 0.0110 0.0080 -0.0178 0.0062 9.1845 0.0320 8.9063 0.0376 132.677 0.311 0.35980 0.00416

JG1 362.72 1.88 3.734 0.048 89.23 0.57 15.007 0.071 4.3253 0.0357 4.582 0.266 23.035 0.121 7.943 0.052 56.018 0.168 2.6577 0.0438

JG1a 393.43 0.94 3.1340 0.0280 98.332 0.317 13.597 0.072 3.8497 0.0439 4.105 0.414 23.681 0.094 9.1617 0.0346 56.607 0.138 2.5369 0.0290

JG2 459.98 0.80 0.64184 0.00449 97.533 0.171 8.1148 0.0145 1.3063 0.0078 0.2492 0.0144 8.0923 0.0294 10.8506 0.0345 69.294 0.079 0.2335 0.0048

JGb1 228.15 0.96 20.061 0.134 115.20 0.63 79.584 0.230 10.643 0.084 32.92 2.44 146.720 0.439 3.1456 0.0246 3.5472 0.0189 1.6886 0.0272

JLk1 352.98 1.30 10.479 0.073 124.52 0.50 52.312 0.129 19.644 0.219 9.11 0.64 8.199 0.072 2.4811 0.0186 42.271 0.132 5.446 0.065

JLs1 1.143 0.0203 -0.0710 0.0101 0.4642 0.0098 0.0866 0.0065 0.0831 0.0093 2.249 0.057 907.99 4.33 0.0057 0.0058 0.08121 0.0114 1.4836 0.0299

JP1 164.12 0.57 0.0517 0.0079 3.3406 0.0311 64.716 0.139 9.221 0.085 156.8 10.7 7.055 0.056 0.0467 0.0086 0.0659 0.0054 0.2401 0.0125

JR1 447.98 1.61 1.4086 0.0191 88.897 0.445 6.3459 0.0337 7.027 0.051 0.4143 0.0244 7.545 0.054 10.597 0.059 60.621 0.184 0.4493 0.0135

JR2 496.25 1.66 0.8510 0.0139 97.912 0.402 5.7807 0.0183 8.073 0.0417 0.1892 0.0200 5.801 0.053 11.907 0.063 64.025 0.191 0.1839 0.0119

JR3 391.90 2.05 2.8610 0.0360 81.17 0.53 32.906 0.074 5.576 0.053 0.2309 0.0151 1.0167 0.0197 13.280 0.070 56.835 0.213 0.3437 0.0145

JSd1 364.61 1.33 9.397 0.046 111.346 0.436 36.345 0.119 6.5054 0.0413 10.700 0.423 34.980 0.140 6.9587 0.0358 33.678 0.116 3.6526 0.0300

JSd2 328.69 0.99 8.375 0.049 92.182 0.303 70.721 0.201 7.9435 0.0304 14.913 0.416 42.933 0.215 6.1725 0.0439 18.215 0.051 3.1536 0.0299

JSl2 336.09 0.94 10.953 0.061 130.71 0.59 47.835 0.118 5.8942 0.0339 12.26 1.09 22.591 0.161 3.1538 0.0152 44.534 0.118 3.779 0.058

MAN 360.27 1.90 0.12286 0.00317 129.75 0.50 3.7438 0.0153 2.8997 0.0211 0.3381 0.0310 6.943 0.051 13.912 0.087 49.790 0.138 36.075 0.261

MRG1 218.50 1.01 48.517 0.295 53.368 0.364 89.863 0.299 9.005 0.055 59.17 4.49 187.93 0.98 1.8340 0.0099 3.0865 0.0191 2.0309 0.0312

MicaFe 180.73 0.59 36.075 0.106 113.18 0.45 143.007 0.221 20.215 0.265 18.69 1.23 4.0120 0.0373 0.6154 0.0087 136.578 0.373 9.429 0.117

MicaMg 208.33 0.76 21.166 0.256 89.355 0.286 58.632 0.166 15.421 0.074 97.83 1.43 0.0875 0.0087 0.4110 0.0064 152.13 0.50 0.1326 0.0124

NIMD 139.98 0.56 0.2591 0.0080 1.6279 0.0213 122.237 0.164 16.266 0.092 140.6 11.4 3.9628 0.0316 0.0048 0.0086 0.0829 0.0073 0.2532 0.0155

NIMG 441.37 0.89 1.3209 0.0065 92.277 0.217 14.4169 0.0295 1.1992 0.0105 0.2972 0.0163 9.8216 0.0318 9.6687 0.0270 73.894 0.081 0.2065 0.0058

NIML 275.91 1.44 6.0728 0.0202 92.48 0.58 58.558 0.074 46.421 0.110 1.084 0.072 35.506 0.054 19.754 0.149 79.050 0.121 0.0612 0.0134

NIMN

258.89

8 0.334

2.1737 0.0122

114.723 0.178

51.441 0.137

10.1628 0.0437

23.930 0.162

130.576 0.210

6.9344 0.0177

3.7197 0.0083

0.4665 0.0051

NIMP 238.72 0.46 2.9017 0.0148 27.499 0.078 78.387 0.132 15.550 0.056 97.22 0.48 34.036 0.074 1.2352 0.0076 1.7099 0.0065 0.7761 0.0083

NIMS 352.39 0.58 -0.3482 0.0087 113.766 0.242 8.3760 0.0125 0.4025 0.0070 1.9496 0.0338 5.9777 0.0214 0.9731 0.0058 205.334 0.220 3.2997 0.0131

SDC1 358.57 0.48 12.9703 0.0395 106.884 0.124 41.848 0.048 6.4064 0.0411 8.521 0.431 17.041 0.059 5.86560 0.00371 45.498 0.054 4.5941 0.0310

SY2 350.61 0.70 1.2973 0.0094 87.074 0.210 37.102 0.054 18.202 0.049 10.88 0.51 86.093 0.196 11.9169 0.0291 67.222 0.104 13.250 0.095

SY3 334.01 0.88 1.4474 0.0087 80.492 0.288 35.8893 0.0439 17.528 0.097 10.380 0.245 89.498 0.197 10.8712 0.0406 62.429 0.102 16.9379 0.131

UBN 187.232 0.294 1.5621 0.0109 10.711 0.046 68.532 0.106 10.3449 0.0352 160.5 4.9 12.8578 0.0408 0.1364 0.0047 0.21710 0.00267 0.3309 0.0063

W1 271.67 0.94 12.835 0.097 106.43 0.55 60.206 0.178 9.319 0.060 21.84 1.93 123.661 0.387 6.4230 0.0329 10.5603 0.0297 4.887 0.083

W2 272.22 1.07 12.700 0.086 109.34 0.48 59.071 0.168 9.060 0.096 21.85 2.18 123.43 0.54 6.6037 0.0430 10.089 0.053 4.516 0.061

Blank 0.120 0.003 -0.0001 0.002 0.055 0.001 0.051 0.002 0.0035 0.004 -0.00014 0.0011 0.0680 0.0025 -0.0010 0.0007 -0.0100 0.0016 0.5207 0.0034

TABLE S3 Measurement conditions employed for the WD-X-ray fluorescence spectrometer (Rigaku ZSX Primus II)

Elemental line X–ray tube kV–mA Filter Slit Crystal Detector PHA Peak/BG Angle (deg) Time (sec)

Si–K Rhodium 40– 35 OUT S4 PET PC 130–310 Peak 109.100 20

BG1 107.250 10

BG2 110.400 10

Ti– K Rhodium 60– 65 OUT S2 LiF (200) SC 80–320 Peak 86.160 80

BG1 85.110 10

BG2 87.110 10

Al–K Rhodium 40– 30 OUT S4 PET PC 130–290 Peak 144.800 20

BG1 140.500 10

BG2 147.300 10

Fe–K Rhodium 30– 10 OUT S2 LiF (200) SC 80–320 Peak 57.520 40

BG1 57.050 10

BG2 58.050 10

Mn–K Rhodium 50– 65 OUT S2 LiF (200) SC 90–310 Peak 62.980 80

BG1 61.000 10

BG2 64.000 10

Mg–K Rhodium 50– 50 OUT S4 RX25 PC 120–300 Peak 38.850 80

BG1 37.000 10

BG2 40.390 10

Ca–K Rhodium 30– 30 OUT S4 LiF (200) PC 140–280 Peak 113.150 20

BG1 111.520 10

BG2 114.620 10

Na–K Rhodium 60– 65 OUT S4 RX25 PC 120–290 Peak 47.250 80

BG1 45.000 10

BG2 49.500 10

K–K Rhodium 50– 20 OUT S4 LiF (200) PC 130–280 Peak 136.700 80

BG1 134.200 10

BG2 138.900 10

P–K Rhodium 60– 65 OUT S4 Ge PC 140–290 Peak 141.150 80

BG1 138.060 10

BG2 143.500 10

SC–scintillation counter; PC–proportional counter; kV–voltage; mA–current; S2–Standard slit for SC detector; S4–Standard slit for PC detector; PHA–

Pulse height analyzer; BG1 and BG2–backgrounds of the peak.

TABLE S4 Regression parameters for two different statistical models (OLR and UWLR) and quality of equations for the XRF calibrations Element Regression Number of data

pairs

(calibrators)

Regression equation parameters Quality of regression

equation

Variables 𝑥–𝑦 Model Intercept (𝑏) 𝑠𝑒𝑏 𝑢𝑏 Slope (𝑚) 𝑠𝑒𝑚 𝑢𝑚 𝑟 𝑅2

SiO2 Int–Conc OLR 60 11.47071 1.84139 4.90411 0.14325 0.00603 0.01605 0.95229 0.90687

SiO2 Int–Conc UWLR 60 -0.01316 1.06328 2.83181 0.18539 0.00348 0.00927 0.99004 0.98017

SiO2 ConcCalc–Conc OLR 60 1.87016 1.50961 4.02048 0.96759 0.02767 0.07369 0.97710 0.95472 SiO2 ConcCalc–Conc UWLR 60 -0.02185 0.55329 1.47356 1.00325 0.01014 0.02701 0.99704 0.99408

TiO2 Int–Conc OLR 60 0.03474 0.02208 0.05879 0.07358 0.00161 0.00429 0.98639 0.97296

TiO2 Int–Conc UWLR 60 0.00210 0.02037 0.05425 0.08005 0.00149 0.00396 0.99109 0.98225

TiO2 ConcCalc–Conc OLR 60 0.01055 0.00586 0.01560 0.99344 0.00564 0.01503 0.99907 0.99813

TiO2 ConcCalc–Conc UWLR 60 0.00065 0.00483 0.01286 0.99384 0.00465 0.01238 0.99939 0.99878

Al2O3 Int–Conc OLR 60 0.06735 0.68516 1.82477 0.15152 0.00575 0.01533 0.96062 0.92279

Al2O3 Int–Conc UWLR 60 -0.00858 0.43525 1.15917 0.14425 0.00366 0.00974 0.98491 0.97005 Al2O3 ConcCalc–Conc OLR 60 -0.07666 0.16024 0.42675 0.99462 0.00866 0.02305 0.99781 0.99563

Al2O3 ConcCalc–Conc UWLR 60 -0.02508 0.10608 0.28251 0.9777 0.00573 0.01526 0.99915 0.99829

Fe2O3t Int–Conc OLR 60 -2.09847 0.58437 1.55633 0.21892 0.00652 0.01736 0.97524 0.95110

Fe2O3t Int–Conc UWLR 60 -0.01096 0.54595 1.45401 0.17842 0.00609 0.01622 0.98165 0.96363

Fe2O3t ConcCalc–Conc OLR 60 -0.10968 0.10673 0.28424 0.99477 0.00572 0.01523 0.99904 0.99809

Fe2O3t ConcCalc–Conc UWLR 60 0.02051 0.08592 0.22883 0.98286 0.00460 0.01226 0.99940 0.99881

MnO Int–Conc OLR 60 -0.04134 0.00676 0.01801 0.02137 0.00033 0.00087 0.99329 0.98663 MnO Int–Conc UWLR 60 0.00014 0.01360 0.03623 0.01638 0.00066 0.00175 0.99144 0.98295

MnO ConcCalc–Conc OLR 60 0.00069 0.00070 0.00187 0.99956 0.00165 0.00440 0.99992 0.99984

MnO ConcCalc–Conc UWLR 60 0.00063 0.00101 0.00268 0.98608 0.00236 0.00629 0.99993 0.99986

MgO Int–Conc OLR 60 -0.07486 0.27232 0.72526 0.26182 0.00634 0.01688 0.98344 0.96715

MgO Int–Conc UWLR 60 -0.00154 0.26883 0.71598 0.23737 0.00626 0.01666 0.98766 0.97547

MgO ConcCalc–Conc OLR 60 0.04066 0.09821 0.26155 0.99794 0.00866 0.02307 0.99782 0.99565 MgO ConcCalc–Conc UWLR 60 0.00477 0.14656 0.39032 1.07934 0.01293 0.03443 0.99836 0.99673

CaO Int–Conc OLR 60 1.05215 0.21720 0.57846 0.06311 0.00138 0.00367 0.98645 0.97309

CaO Int–Conc UWLR 60 0.00262 0.45752 1.21850 0.08506 0.00290 0.00773 0.98659 0.97336

CaO ConcCalc–Conc OLR 60 0.01223 0.03161 0.08420 0.99957 0.00299 0.00796 0.99974 0.99948 CaO ConcCalc–Conc UWLR 60 -0.00673 0.02787 0.07423 1.00504 0.00264 0.00702 0.99981 0.99962

Na2O Int–Conc OLR 60 0.04561 0.05820 0.15500 0.36277 0.00791 0.02107 0.98649 0.97316

Na2O Int–Conc UWLR 60 0.00535 0.04331 0.11534 0.35559 0.00589 0.01568 0.99310 0.98624 Na2O ConcCalc–Conc OLR 60 0.02839 0.03544 0.09437 0.99079 0.01304 0.03473 0.99501 0.99005

Na2O ConcCalc–Conc UWLR 60 0.00303 0.02458 0.06547 1.00283 0.00905 0.02410 0.99764 0.99528

K2O Int–Conc OLR 60 -0.06812 0.04656 0.12400 0.07188 0.00081 0.00215 0.99638 0.99277

K2O Int–Conc UWLR 60 0.00923 0.04391 0.11694 0.06806 0.00076 0.00202 0.99760 0.99521 K2O ConcCalc–Conc OLR 60 -0.00550 0.01395 0.03716 1.00003 0.00338 0.00901 0.99967 0.99934

K2O ConcCalc–Conc UWLR 60 0.01687 0.01350 0.03595 0.98321 0.00327 0.00872 0.99978 0.99956

P2O5 Int–Conc OLR 60 0.04729 0.01149 0.03061 0.02449 0.00072 0.00191 0.97591 0.95240 P2O5 Int–Conc UWLR 60 0.01074 0.01851 0.04931 0.03196 0.00116 0.00308 0.97715 0.95482

P2O5 ConcCalc–Conc OLR 60 0.00172 0.00223 0.00593 0.99587 0.00530 0.01410 0.99918 0.99836

P2O5 ConcCalc–Conc UWLR 60 -0.00095 0.00212 0.00565 0.99906 0.00504 0.01342 0.99926 0.99852

Intercept— 𝑏; 𝑠𝑒—standard error; 𝑢—uncertainty at 99%; slope— 𝑚; linear correlation coefficient—𝑟; squared linear correlation coefficient— 𝑅2.

TABLE S5 Statistical information (mean �̅� and 99% uncertainty 𝑢99 or simply as 𝑢) of measured drift- and matrix-effect corrected intensities (kc s-1) for the GRMs used for the XRF calibrations

GRM

SiO2 TiO2 Al2O3 Fe2O3t MnO MgO CaO Na2O K2O P2O5

�̅� 𝑢99

�̅� 𝑢99 �̅� 𝑢99

�̅� 𝑢99 �̅� 𝑢99

�̅� 𝑢99 �̅� 𝑢99

�̅� 𝑢99 �̅� 𝑢99

�̅� 𝑢99

ACE 434.0216 1.3816 1.4576 0.0181 112.2431 0.3885 17.9487 0.0574 3.9443 0.0386 0.1576 0.0028 4.2596 0.0415 20.3155 0.0576 62.7038 0.1544 0.2990 0.0137

ANG 258.0977 1.5254 2.5514 0.0226 220.9900 1.8982 21.6998 0.0916 2.4553 0.0363 8.6694 0.0519 192.4489 1.2839 4.7840 0.0393 1.9816 0.0206 0.3864 0.0117

BEN 202.7256 1.1231 30.8060 0.4872 68.3698 0.2842 69.2588 0.2575 10.1926 0.0455 49.4826 1.1570 164.2492 1.1400 10.4675 0.0718 22.5762 0.1261 36.1274 0.1760

BHVO1 229.9420 0.6899 32.1622 0.2001 110.4796 0.3520 64.4918 0.2100 8.9661 0.0992 19.4220 1.9422 127.9198 0.4876 5.7931 0.0220 7.7556 0.0426 6.6710 0.0829

BXN 26.9922 0.0856 42.2363 0.1852 243.3715 0.8717 157.3831 0.1485 3.2261 0.0211 0.1463 0.0104 1.7326 0.0074 0.0188 0.0020 0.8842 0.0045 2.6309 0.0241

DNC1 232.2210 0.8099 5.5551 0.0363 123.4588 0.5708 56.9200 0.1795 8.3345 0.0812 36.0171 3.6099 131.9957 0.6767 5.1963 0.0219 3.6260 0.0166 2.5063 0.0377

DRN 277.3251 1.2249 13.8921 0.2412 111.6933 0.5659 57.8864 0.2543 13.1059 0.0771 19.7758 0.3308 80.1868 0.4560 7.5361 0.0365 24.8315 0.0961 6.7703 0.0498

DTN 170.2088 0.8162 17.5505 0.1277 436.6609 2.1640 5.0697 0.0153 0.0980 0.0130 0.1453 0.0198 0.4649 0.0122 0.1082 0.0084 2.1370 0.0096 2.5519 0.0290

FER1 91.8155 2.8050 -0.0688 0.0041 1.8675 0.0271 281.6888 0.2586 13.6051 0.0589 1.6465 0.0490 56.7201 0.1585 0.1663 0.0043 0.2748 0.0057 106.7593 1.4282

FER2 253.8058 9.4278 2.9506 0.0210 29.2249 0.5056 180.6225 2.7532 7.4862 0.0183 9.0584 0.1337 26.3853 0.4463 0.9269 0.0434 22.6533 0.1818 10.0609 0.3553

FER3 326.9504 1.2170 0.0324 0.0032 0.8078 0.0063 209.6739 0.9252 5.6298 0.0102 8.8806 0.0278 13.4898 0.0371 0.0120 0.0039 0.3291 0.0056 2.4622 0.0293

FER4 269.8941 0.9233 0.9605 0.0050 15.1171 0.0874 193.7246 1.0048 13.4363 0.0396 6.9357 0.1165 34.5368 0.1036 0.0594 0.0030 5.5025 0.0110 5.1694 0.0569

FKN 370.7698 0.8847 -0.0224 0.0047 131.2062 0.3399 0.5212 0.0065 0.1342 0.0136 0.0863 0.0114 0.9499 0.0113 6.8772 0.0188 169.3433 0.3591 0.3113 0.0043

GSN 396.9831 2.1417 7.9342 0.0576 109.7751 0.4397 23.6449 0.0946 3.6066 0.0196 11.2529 0.0763 27.3604 0.0349 11.7233 0.0651 67.2228 0.2783 7.7818 0.0558

GXR1 196.4316 1.8032 0.4351 0.0174 28.5646 0.2947 202.2067 0.4316 6.8899 0.0687 1.1004 0.0452 14.0051 0.0889 0.1188 0.0046 0.7783 0.0097 4.2829 0.0562

GXR2 252.5552 1.2689 6.4433 0.0354 224.5019 1.2669 21.6007 0.0566 9.9243 0.0948 8.8814 0.3487 15.4648 0.0631 2.2564 0.0196 23.2117 0.0867 3.9280 0.0362

GXR3 49.1506 0.4277 0.3460 0.0227 50.0180 0.5294 121.1488 0.2640 136.6578 1.4155 3.0367 0.0412 217.9010 0.7873 1.4300 0.0147 13.3814 0.0727 5.2095 0.0798

GXR4 303.6483 1.9644 5.2103 0.0356 96.4915 0.8568 27.5724 0.0665 1.3050 0.0245 13.6639 0.1670 13.5577 0.0766 1.7655 0.0149 65.2709 0.2109 6.6275 0.0934

GXR5 210.0251 0.9628 5.5520 0.0398 206.8957 1.0198 39.5598 0.0901 2.9752 0.0354 9.3821 0.5196 14.0837 0.0555 2.7969 0.0280 15.2459 0.0527 1.8618 0.0187

GXR6 190.6830 1.0904 11.4456 0.0315 193.5448 1.5921 54.9256 0.1433 9.1915 0.0897 4.6963 0.0583 3.2760 0.0319 0.3024 0.0055 29.4249 0.0791 1.9079 0.0356

IFG 219.9981 1.3461 0.1629 0.0208 0.6166 0.0104 275.1894 0.7707 2.7245 0.0389 11.8528 0.4253 24.4732 0.1430 0.0749 0.0080 0.1060 0.0058 2.5294 0.0482

JA1 340.9887 2.3262 10.9259 0.1535 110.4907 0.8448 39.8020 0.1809 9.6575 0.1022 4.0882 0.5061 61.5313 0.3663 10.6758 0.0765 11.1747 0.0646 4.1150 0.0677

JA2 319.2898 1.5055 8.7367 0.0920 110.6936 0.6550 40.3483 0.0993 6.7042 0.0632 29.0673 1.1097 71.4650 0.4148 9.1277 0.0563 26.9563 0.0943 4.5014 0.0643

JB1 229.3496 1.9303 15.9402 0.0627 107.6356 1.1547 49.7894 0.1413 8.2604 0.0735 19.2637 0.6468 92.8880 0.3687 5.8526 0.0730 20.6298 0.0950 8.1249 0.1063

JB1a 265.0683 0.4974 16.0376 0.1774 101.5116 0.3247 51.7013 0.1637 7.8604 0.0483 24.2896 2.0075 98.9725 0.6152 7.1348 0.0248 21.1623 0.0565 8.4737 0.0440

JB2 283.8684 1.0951 14.8069 0.0756 104.0931 0.4903 79.3266 0.2004 12.2767 0.0642 12.0794 0.6798 115.8821 0.4903 6.0060 0.0349 6.1537 0.0289 2.4454 0.0254

JB3 267.5463 0.9007 16.0447 0.1155 120.8292 0.5368 61.4964 0.1907 9.8598 0.0480 14.1096 0.5329 114.7550 0.6378 8.1631 0.0564 12.1054 0.0503 8.5677 0.1139

JCh1 745.3258 2.2149 0.3273 0.0133 7.5820 0.0523 3.1168 0.0209 1.3369 0.0210 0.5252 0.0229 0.5561 0.0126 0.1519 0.0056 3.1692 0.0158 0.4203 0.0119

JDo1 1.5412 0.0099 0.0108 0.0038 0.1741 0.0041 0.1423 0.0041 0.3541 0.0099 81.9773 1.1805 570.0735 1.8897 0.0143 0.0026 0.0070 0.0048 1.7000 0.0162

JF1 378.2847 1.1744 -0.4786 0.0052 128.2187 0.4469 0.5835 0.0047 0.0110 0.0080 -0.0173 0.0060 9.2056 0.0320 8.9462 0.0377 132.6772 0.3108 0.3573 0.0041

JG1 373.4360 1.9305 3.2799 0.0419 111.2022 0.7076 12.3252 0.0583 4.3253 0.0357 3.3851 0.1967 23.0345 0.1207 7.9434 0.0516 56.0185 0.1681 2.6577 0.0438

JG1a 400.3272 0.9614 3.1340 0.0280 110.9850 0.3582 11.8105 0.0625 3.8497 0.0439 3.6414 0.3676 22.7748 0.0907 9.1617 0.0346 56.6072 0.1377 2.5369 0.0290

JG2 462.1754 0.8084 0.6413 0.0045 99.3742 0.1742 8.0010 0.0143 1.3063 0.0078 0.2492 0.0144 8.0703 0.0293 10.7275 0.0341 69.0902 0.0783 0.2335 0.0048

JGb1 228.1475 0.9586 20.0605 0.1342 115.2024 0.6259 83.0783 0.2402 10.6432 0.0838 32.9163 2.4449 146.7197 0.4387 3.2308 0.0253 3.5472 0.0189 1.6886 0.0272

JLk1 352.9801 1.2962 10.4791 0.0729 98.7225 0.3962 52.3119 0.1295 19.6437 0.2192 11.9856 0.8416 8.1991 0.0717 2.4811 0.0186 39.3805 0.1229 5.2339 0.0628

JLs1 1.1427 0.0203 -0.0710 0.0101 0.4622 0.0098 0.0817 0.0062 0.0831 0.0093 2.2492 0.0566 907.9933 4.3304 0.0056 0.0057 0.0811 0.0114 1.4836 0.0299

JP1 179.2109 0.6175 0.0452 0.0070 4.2258 0.0393 64.7164 0.1395 9.2211 0.0849 156.7597 10.7122 6.4385 0.0512 0.0467 0.0086 0.0685 0.0056 -11.8970 0.6170

JR1 447.9839 1.6108 1.3616 0.0185 94.0423 0.4709 6.0761 0.0323 6.8609 0.0493 0.4143 0.0244 7.4664 0.0537 10.5975 0.0593 61.2492 0.1862 0.4647 0.0139

JR2 488.4284 1.6372 0.8510 0.0139 97.9115 0.4023 5.7807 0.0183 8.0735 0.0417 0.1892 0.0200 5.8011 0.0531 11.9068 0.0634 64.0246 0.1906 0.1839 0.0119

JR3 395.8156 2.0661 2.8610 0.0360 81.1719 0.5324 29.5662 0.0669 5.5762 0.0528 0.2048 0.0134 0.9713 0.0188 13.2801 0.0703 59.1206 0.2220 0.3548 0.0149

JSd1 371.3724 1.3538 9.3963 0.0463 111.3457 0.4361 36.3445 0.1193 6.5054 0.0413 10.6998 0.4229 34.3981 0.1374 7.0707 0.0364 33.1727 0.1146 3.5623 0.0293

JSd2 337.1644 1.0164 8.5449 0.0501 87.7856 0.2882 70.7214 0.2013 8.0954 0.0310 14.9129 0.4162 42.3591 0.2125 6.3470 0.0451 17.8365 0.0500 3.0388 0.0288

JSl2 336.0901 0.9428 10.9533 0.0607 119.6565 0.5424 47.8348 0.1183 5.8942 0.0339 13.5169 1.2064 22.5908 0.1609 3.2861 0.0158 43.4199 0.1152 3.7795 0.0576

MAN 360.2656 1.9041 0.1229 0.0032 132.7148 0.5076 3.6447 0.0149 2.8621 0.0208 0.3257 0.0299 6.8680 0.0506 13.9121 0.0875 49.7903 0.1382 36.1650 0.2616

MRG1 214.8138 0.9887 48.5173 0.2949 53.3677 0.3641 89.8630 0.2987 9.0050 0.0549 59.1665 4.4945 187.9316 0.9802 1.8889 0.0102 2.9864 0.0185 1.9408 0.0298

MicaFe 178.0399 0.5847 36.0753 0.1062 105.1512 0.4204 143.0067 0.2211 20.2154 0.2652 21.0650 1.3848 4.1040 0.0382 0.6154 0.0087 136.5783 0.3728 9.6215 0.1193

MicaMg 205.4834 0.7540 21.1661 0.2557 89.3554 0.2864 71.7356 0.2025 15.4207 0.0741 97.8325 1.4273 0.0936 0.0093 0.4303 0.0067 152.1277 0.5024 0.1326 0.0124

NIMD 157.5399 0.6268 0.2591 0.0080 2.1025 0.0275 122.2370 0.1645 16.2656 0.0923 140.5961 11.3783 3.2659 0.0260 0.0048 0.0086 0.3831 0.0339 -1.6189 0.0993

NIMG 444.0195 0.8950 1.2845 0.0063 92.2773 0.2171 13.6888 0.0281 1.1992 0.0105 0.2899 0.0159 9.6501 0.0313 9.6687 0.0270 73.8940 0.0809 0.2079 0.0058

NIML 278.7469 1.4525 6.0728 0.0202 88.9724 0.5552 59.4785 0.0751 46.4211 0.1096 1.0837 0.0719 35.5056 0.0542 19.9440 0.1502 79.5088 0.1215 0.0613 0.0134

NIMN 260.7122 0.3367 2.1737 0.0122 114.7232 0.1783 51.4406 0.1366 10.1629 0.0437 23.2558 0.1578 130.5762 0.2097 6.9344 0.0177 3.7819 0.0085 0.4710 0.0052

NIMP 239.5960 0.4601 2.8893 0.0147 27.4990 0.0778 78.3868 0.1316 14.6651 0.0527 97.5572 0.4834 33.7435 0.0735 1.2298 0.0076 1.7099 0.0065 0.9166 0.0097

NIMS 352.3909 0.5830 -0.3327 0.0083 122.2473 0.2598 8.3760 0.0125 0.4025 0.0070 1.9496 0.0338 5.9777 0.0214 0.9731 0.0058 205.3335 0.2203 3.3568 0.0134

SDC1 362.2527 0.4883 12.9703 0.0395 118.8531 0.1380 38.8556 0.0448 6.4064 0.0411 8.5214 0.4312 16.7055 0.0579 5.6313 0.0036 46.0817 0.0548 4.5886 0.0309

SY2 350.6051 0.7036 1.3888 0.0101 87.0741 0.2099 37.1023 0.0542 18.2019 0.0485 10.8815 0.5115 86.0934 0.1960 11.9169 0.0291 67.2218 0.1037 13.2500 0.0950

SY3 334.0068 0.8785 1.4788 0.0089 80.4920 0.2880 36.6756 0.0449 17.7721 0.0987 10.3803 0.2452 89.4980 0.1967 10.8712 0.0406 62.4291 0.1021 16.4868 0.1273

UBN 185.2253 0.2905 1.6944 0.0118 10.7114 0.0465 81.0149 0.1257 10.5148 0.0358 160.5363 4.9010 13.2221 0.0420 0.1365 0.0047 0.2171 0.0027 0.3309 0.0063

W1 271.6972 0.9396 12.8346 0.0975 106.4317 0.5511 60.2065 0.1781 9.3186 0.0597 21.8419 1.9340 123.6613 0.3871 6.4089 0.0328 10.5603 0.0297 4.8867 0.0826

W2 272.7388 1.0728 12.6996 0.0864 109.3436 0.4832 59.0715 0.1679 9.0601 0.0960 21.8539 2.1766 123.4321 0.5377 6.5546 0.0427 10.0888 0.0528 4.5163 0.0614

Blank 0.1259 0.0130 0.0040 0.0217 0.0547 0.0055 0.0514 0.0176 0.0074 0.0271 0.0005 0.0019 0.0696 0.0183 0.0006 0.0070 -0.0125 0.0043 0.5196 0.0144