Towards Consistent Interpretations of Coal Geochemistry Data on Whole-Coal versus Ash Bases through Machine Learning
Abstract
:1. Introduction
2. Compositional Data Transformation
2.1. Additive Log-Ratio (alr) Transformation
2.2. Centered Log-Ratio (clr) Transformation
2.3. Isometric Log-Ratio (ilr) Transformation
3. Improved Additive Log-Ratio and Correlation Analysis
3.1. Improved Additive Log-Ratio Transformation
3.2. Correlation Analysis of Different Transformation Methods
3.3. Correlation Replaced by Stability
4. Prediction for Occurrence Mode of Element in Coal Based on Hierarchy Clustering
4.1. Hierarchical Clustering
4.2. Similarities Analysis between the Elements in Coal
4.3. Agglomerative Clustering Algorithm for Prediction
5. Results
6. Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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SiO2 | TiO2 | Al2O3 | Fe2O3 | MgO | CaO | MnO | K2O | P2O5 | Li | Be | B | F | Sc | V | Cr | Co | Ni | Cu | Zn | Ga | Ge | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
SiO2 | 1 | 0.890 | 0.964 | 0.310 | 0.346 | 0.213 | 0.206 | 0.835 | 0.828 | 0.419 | 0.803 | 0.551 | 0.940 | 0.804 | 0.647 | 0.669 | 0.481 | 0.572 | 0.734 | 0.606 | 0.932 | 0.734 |
TiO2 | 0.890 | 1 | 0.875 | 0.297 | 0.316 | 0.206 | 0.206 | 0.670 | 0.817 | 0.451 | 0.805 | 0.470 | 0.834 | 0.828 | 0.696 | 0.675 | 0.470 | 0.555 | 0.774 | 0.544 | 0.903 | 0.714 |
Al2O3 | 0.964 | 0.875 | 1 | 0.302 | 0.322 | 0.214 | 0.204 | 0.757 | 0.821 | 0.431 | 0.795 | 0.513 | 0.942 | 0.803 | 0.597 | 0.597 | 0.440 | 0.531 | 0.688 | 0.590 | 0.944 | 0.709 |
Fe2O3 | 0.310 | 0.297 | 0.302 | 1 | 0.764 | 0.773 | 0.802 | 0.263 | 0.478 | 0.116 | 0.395 | 0.159 | 0.364 | 0.503 | 0.438 | 0.403 | 0.508 | 0.508 | 0.418 | 0.269 | 0.371 | 0.502 |
MgO | 0.346 | 0.316 | 0.322 | 0.764 | 1 | 0.689 | 0.502 | 0.352 | 0.456 | 0.120 | 0.419 | 0.217 | 0.399 | 0.469 | 0.435 | 0.396 | 0.459 | 0.457 | 0.437 | 0.286 | 0.398 | 0.512 |
CaO | 0.213 | 0.206 | 0.214 | 0.773 | 0.689 | 1 | 0.652 | 0.165 | 0.365 | 0.059 | 0.328 | 0.088 | 0.270 | 0.371 | 0.313 | 0.269 | 0.428 | 0.401 | 0.337 | 0.207 | 0.276 | 0.422 |
MnO | 0.206 | 0.206 | 0.204 | 0.802 | 0.502 | 0.652 | 1 | 0.152 | 0.338 | 0.088 | 0.301 | 0.089 | 0.237 | 0.400 | 0.331 | 0.320 | 0.408 | 0.407 | 0.320 | 0.185 | 0.267 | 0.406 |
K2O | 0.835 | 0.670 | 0.757 | 0.263 | 0.352 | 0.165 | 0.152 | 1 | 0.644 | 0.350 | 0.560 | 0.571 | 0.803 | 0.579 | 0.473 | 0.535 | 0.341 | 0.416 | 0.531 | 0.480 | 0.716 | 0.515 |
P2O5 | 0.828 | 0.817 | 0.821 | 0.478 | 0.456 | 0.365 | 0.338 | 0.644 | 1 | 0.354 | 0.775 | 0.461 | 0.872 | 0.821 | 0.684 | 0.656 | 0.571 | 0.649 | 0.726 | 0.572 | 0.841 | 0.758 |
Li | 0.419 | 0.451 | 0.431 | 0.116 | 0.120 | 0.059 | 0.088 | 0.350 | 0.354 | 1 | 0.385 | 0.223 | 0.389 | 0.376 | 0.299 | 0.425 | 0.162 | 0.271 | 0.324 | 0.213 | 0.449 | 0.294 |
Be | 0.803 | 0.805 | 0.795 | 0.395 | 0.419 | 0.328 | 0.301 | 0.560 | 0.775 | 0.385 | 1 | 0.382 | 0.790 | 0.889 | 0.753 | 0.741 | 0.654 | 0.743 | 0.890 | 0.493 | 0.866 | 0.908 |
B | 0.551 | 0.470 | 0.513 | 0.159 | 0.217 | 0.088 | 0.089 | 0.571 | 0.461 | 0.223 | 0.382 | 1 | 0.514 | 0.387 | 0.335 | 0.351 | 0.232 | 0.262 | 0.342 | 0.292 | 0.477 | 0.371 |
F | 0.940 | 0.834 | 0.942 | 0.364 | 0.399 | 0.270 | 0.237 | 0.803 | 0.872 | 0.389 | 0.790 | 0.514 | 1 | 0.792 | 0.602 | 0.608 | 0.471 | 0.566 | 0.700 | 0.586 | 0.904 | 0.721 |
Sc | 0.804 | 0.828 | 0.803 | 0.503 | 0.469 | 0.371 | 0.400 | 0.579 | 0.821 | 0.376 | 0.889 | 0.387 | 0.792 | 1 | 0.824 | 0.772 | 0.648 | 0.712 | 0.864 | 0.505 | 0.877 | 0.886 |
V | 0.647 | 0.696 | 0.597 | 0.438 | 0.435 | 0.313 | 0.331 | 0.473 | 0.684 | 0.299 | 0.753 | 0.335 | 0.602 | 0.824 | 1 | 0.846 | 0.691 | 0.725 | 0.883 | 0.413 | 0.677 | 0.804 |
Cr | 0.669 | 0.675 | 0.597 | 0.403 | 0.396 | 0.269 | 0.320 | 0.535 | 0.656 | 0.425 | 0.741 | 0.351 | 0.608 | 0.772 | 0.846 | 1 | 0.648 | 0.768 | 0.799 | 0.420 | 0.700 | 0.770 |
Co | 0.481 | 0.470 | 0.440 | 0.508 | 0.459 | 0.428 | 0.408 | 0.341 | 0.571 | 0.162 | 0.654 | 0.232 | 0.471 | 0.648 | 0.691 | 0.648 | 1 | 0.881 | 0.728 | 0.349 | 0.524 | 0.745 |
Ni | 0.572 | 0.555 | 0.531 | 0.508 | 0.457 | 0.401 | 0.407 | 0.416 | 0.649 | 0.271 | 0.743 | 0.262 | 0.566 | 0.712 | 0.725 | 0.768 | 0.881 | 1 | 0.767 | 0.373 | 0.617 | 0.776 |
Cu | 0.734 | 0.774 | 0.688 | 0.418 | 0.437 | 0.337 | 0.320 | 0.531 | 0.726 | 0.324 | 0.890 | 0.342 | 0.700 | 0.864 | 0.883 | 0.799 | 0.728 | 0.767 | 1 | 0.475 | 0.784 | 0.877 |
Zn | 0.606 | 0.544 | 0.590 | 0.269 | 0.286 | 0.207 | 0.185 | 0.480 | 0.572 | 0.213 | 0.493 | 0.292 | 0.586 | 0.505 | 0.413 | 0.420 | 0.349 | 0.373 | 0.475 | 1 | 0.593 | 0.485 |
Ga | 0.932 | 0.903 | 0.944 | 0.371 | 0.398 | 0.276 | 0.267 | 0.716 | 0.841 | 0.449 | 0.866 | 0.477 | 0.904 | 0.877 | 0.677 | 0.700 | 0.524 | 0.617 | 0.784 | 0.593 | 1 | 0.811 |
Ge | 0.734 | 0.714 | 0.709 | 0.502 | 0.512 | 0.422 | 0.406 | 0.515 | 0.758 | 0.294 | 0.908 | 0.371 | 0.721 | 0.886 | 0.804 | 0.770 | 0.745 | 0.776 | 0.877 | 0.485 | 0.811 | 1 |
SiO2 | TiO2 | Fe2O3 | MgO | CaO | MnO | K2O | P2O5 | Li | Be | B | F | Sc | V | Cr | Co | Ni | Cu | Zn | Ga | Ge | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
SiO2 | 1 | 0.386 | 0.150 | 0.270 | 0.074 | 0.099 | 0.668 | 0.263 | −0.173 | −0.162 | 0.102 | −0.183 | −0.217 | 0.253 | 0.398 | 0.192 | 0.154 | 0.204 | −0.030 | −0.328 | −0.007 |
TiO2 | 0.386 | 1 | 0.147 | 0.148 | 0.107 | 0.152 | 0.029 | 0.398 | −0.020 | −0.154 | −0.224 | −0.457 | −0.094 | 0.286 | 0.172 | 0.017 | −0.028 | 0.223 | −0.248 | −0.365 | −0.173 |
Fe2O3 | 0.150 | 0.147 | 1 | 0.885 | 0.913 | 0.930 | 0.123 | 0.676 | −0.295 | −0.022 | −0.252 | −0.229 | 0.236 | 0.379 | 0.258 | 0.522 | 0.452 | 0.228 | −0.061 | −0.299 | 0.386 |
MgO | 0.270 | 0.148 | 0.885 | 1 | 0.871 | 0.758 | 0.327 | 0.577 | −0.333 | −0.058 | −0.144 | −0.235 | 0.060 | 0.287 | 0.167 | 0.412 | 0.322 | 0.176 | −0.082 | −0.332 | 0.314 |
CaO | 0.074 | 0.107 | 0.913 | 0.871 | 1 | 0.864 | 0.015 | 0.664 | −0.429 | 0.059 | −0.369 | −0.226 | 0.167 | 0.269 | 0.116 | 0.512 | 0.414 | 0.252 | −0.053 | −0.296 | 0.431 |
MnO | 0.099 | 0.152 | 0.930 | 0.758 | 0.864 | 1 | −0.015 | 0.628 | −0.253 | −0.005 | −0.350 | −0.304 | 0.256 | 0.331 | 0.266 | 0.490 | 0.431 | 0.215 | −0.099 | −0.305 | 0.406 |
K2O | 0.668 | 0.029 | 0.123 | 0.327 | 0.015 | −0.015 | 1 | 0.077 | 0.060 | −0.181 | 0.403 | 0.196 | −0.129 | 0.080 | 0.300 | 0.022 | 0.039 | 0.034 | 0.079 | −0.012 | −0.114 |
P2O5 | 0.263 | 0.398 | 0.676 | 0.577 | 0.664 | 0.628 | 0.077 | 1 | −0.218 | −0.047 | −0.125 | −0.143 | 0.082 | 0.361 | 0.225 | 0.422 | 0.366 | 0.190 | −0.033 | −0.312 | 0.216 |
Li | −0.173 | −0.020 | −0.295 | −0.333 | −0.429 | −0.253 | 0.060 | −0.218 | 1 | 0.207 | 0.138 | 0.282 | 0.176 | −0.067 | 0.356 | −0.250 | 0.049 | −0.056 | −0.003 | 0.395 | −0.148 |
Be | −0.162 | −0.154 | −0.022 | −0.058 | 0.059 | −0.005 | −0.181 | −0.047 | 0.207 | 1 | −0.002 | 0.509 | 0.658 | 0.240 | 0.317 | 0.449 | 0.545 | 0.629 | 0.092 | 0.554 | 0.709 |
B | 0.102 | −0.224 | −0.252 | −0.144 | −0.369 | −0.350 | 0.403 | −0.125 | 0.138 | −0.002 | 1 | 0.433 | 0.013 | −0.130 | 0.005 | −0.116 | −0.117 | −0.225 | 0.111 | 0.289 | −0.062 |
F | −0.183 | −0.457 | −0.229 | −0.235 | −0.226 | −0.304 | 0.196 | −0.143 | 0.282 | 0.509 | 0.433 | 1 | 0.512 | −0.035 | 0.098 | 0.076 | 0.199 | 0.177 | 0.420 | 0.815 | 0.285 |
Sc | −0.217 | −0.094 | 0.236 | 0.060 | 0.167 | 0.256 | −0.129 | 0.082 | 0.176 | 0.658 | 0.013 | 0.512 | 1 | 0.480 | 0.412 | 0.434 | 0.464 | 0.528 | 0.125 | 0.590 | 0.633 |
V | 0.253 | 0.286 | 0.379 | 0.287 | 0.269 | 0.331 | 0.080 | 0.361 | −0.067 | 0.240 | −0.130 | −0.035 | 0.480 | 1 | 0.645 | 0.545 | 0.511 | 0.641 | −0.132 | −0.119 | 0.396 |
Cr | 0.398 | 0.172 | 0.258 | 0.167 | 0.116 | 0.266 | 0.300 | 0.225 | 0.356 | 0.317 | 0.005 | 0.098 | 0.412 | 0.645 | 1 | 0.473 | 0.627 | 0.460 | −0.016 | 0.135 | 0.390 |
Co | 0.192 | 0.017 | 0.522 | 0.412 | 0.512 | 0.490 | 0.022 | 0.422 | −0.250 | 0.449 | −0.116 | 0.076 | 0.434 | 0.545 | 0.473 | 1 | 0.871 | 0.639 | 0.055 | 0.042 | 0.670 |
Ni | 0.154 | −0.028 | 0.452 | 0.322 | 0.414 | 0.431 | 0.039 | 0.366 | 0.049 | 0.545 | −0.117 | 0.199 | 0.464 | 0.511 | 0.627 | 0.871 | 1 | 0.604 | 0.024 | 0.164 | 0.625 |
Cu | 0.204 | 0.223 | 0.228 | 0.176 | 0.252 | 0.215 | 0.034 | 0.190 | −0.056 | 0.629 | −0.225 | 0.177 | 0.528 | 0.641 | 0.460 | 0.639 | 0.604 | 1 | −0.029 | 0.145 | 0.556 |
Zn | −0.030 | −0.248 | −0.061 | −0.082 | −0.053 | −0.099 | 0.079 | −0.033 | −0.003 | 0.092 | 0.111 | 0.420 | 0.125 | −0.132 | −0.016 | 0.055 | 0.024 | −0.029 | 1 | 0.366 | 0.046 |
Ga | −0.328 | −0.365 | −0.299 | −0.332 | −0.296 | −0.305 | −0.012 | −0.312 | 0.395 | 0.554 | 0.289 | 0.815 | 0.590 | −0.119 | 0.135 | 0.042 | 0.164 | 0.145 | 0.366 | 1 | 0.318 |
Ge | −0.007 | −0.173 | 0.386 | 0.314 | 0.431 | 0.406 | −0.114 | 0.216 | −0.148 | 0.709 | −0.062 | 0.285 | 0.633 | 0.396 | 0.390 | 0.670 | 0.625 | 0.556 | 0.046 | 0.318 | 1 |
SiO2 | TiO2 | Al2O3 | Fe2O3 | MgO | CaO | MnO | K2O | P2O5 | Li | Be | B | F | Sc | V | Cr | Co | Ni | Cu | Zn | Ga | Ge | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
SiO2 | 1 | 0.625 | 0.891 | −0.635 | −0.512 | −0.687 | −0.649 | 0.737 | 0.241 | 0.325 | 0.041 | 0.486 | 0.786 | −0.026 | −0.303 | −0.137 | −0.495 | −0.418 | −0.233 | 0.306 | 0.709 | −0.382 |
TiO2 | 0.625 | 1 | 0.617 | −0.593 | −0.559 | −0.627 | −0.555 | 0.292 | 0.285 | 0.422 | 0.168 | 0.264 | 0.429 | 0.242 | 0.008 | −0.021 | −0.431 | −0.374 | 0.096 | 0.148 | 0.639 | −0.331 |
Al2O3 | 0.891 | 0.617 | 1 | −0.537 | −0.499 | −0.551 | −0.535 | 0.538 | 0.329 | 0.369 | 0.157 | 0.387 | 0.822 | 0.148 | −0.370 | −0.308 | −0.529 | −0.444 | −0.290 | 0.291 | 0.832 | −0.313 |
Fe2O3 | −0.635 | −0.593 | −0.537 | 1 | 0.789 | 0.848 | 0.880 | −0.306 | 0.043 | −0.333 | −0.393 | −0.289 | −0.343 | 0.087 | 0.032 | −0.055 | 0.350 | 0.286 | −0.199 | −0.114 | −0.511 | 0.104 |
MgO | −0.512 | −0.559 | −0.499 | 0.789 | 1 | 0.772 | 0.579 | −0.046 | −0.104 | −0.343 | −0.343 | −0.095 | −0.251 | −0.147 | −0.021 | −0.122 | 0.220 | 0.124 | −0.178 | −0.091 | −0.440 | 0.083 |
CaO | −0.687 | −0.627 | −0.551 | 0.848 | 0.772 | 1 | 0.773 | −0.429 | 0.029 | −0.498 | −0.190 | −0.435 | −0.333 | −0.005 | −0.057 | −0.205 | 0.375 | 0.268 | −0.093 | −0.094 | −0.483 | 0.249 |
MnO | −0.649 | −0.555 | −0.535 | 0.880 | 0.579 | 0.773 | 1 | −0.449 | −0.014 | −0.255 | −0.251 | −0.390 | −0.435 | 0.225 | 0.062 | 0.045 | 0.367 | 0.325 | −0.097 | −0.136 | −0.447 | 0.257 |
K2O | 0.737 | 0.292 | 0.538 | −0.306 | −0.046 | −0.429 | −0.449 | 1 | 0.123 | 0.247 | −0.301 | 0.549 | 0.651 | −0.278 | −0.315 | −0.052 | −0.437 | −0.376 | −0.339 | 0.193 | 0.369 | −0.542 |
P2O5 | 0.241 | 0.285 | 0.329 | 0.043 | −0.104 | 0.029 | −0.014 | 0.123 | 1 | 0.063 | −0.282 | 0.193 | 0.475 | −0.077 | −0.250 | −0.314 | −0.199 | −0.179 | −0.441 | 0.164 | 0.140 | −0.408 |
Li | 0.325 | 0.422 | 0.369 | −0.333 | −0.343 | −0.498 | −0.255 | 0.247 | 0.063 | 1 | 0.178 | 0.142 | 0.230 | 0.121 | −0.048 | 0.360 | −0.404 | −0.072 | −0.065 | −0.033 | 0.438 | −0.287 |
Be | 0.041 | 0.168 | 0.157 | −0.393 | −0.343 | −0.190 | −0.251 | −0.301 | −0.282 | 0.178 | 1 | −0.186 | 0.005 | 0.277 | 0.004 | 0.015 | 0.093 | 0.176 | 0.427 | −0.206 | 0.201 | 0.449 |
B | 0.486 | 0.264 | 0.387 | −0.289 | −0.095 | −0.435 | −0.390 | 0.549 | 0.193 | 0.142 | −0.186 | 1 | 0.383 | −0.209 | −0.153 | −0.066 | −0.292 | −0.334 | −0.311 | 0.059 | 0.242 | −0.249 |
F | 0.786 | 0.429 | 0.822 | −0.343 | −0.251 | −0.333 | −0.435 | 0.651 | 0.475 | 0.230 | 0.005 | 0.383 | 1 | −0.060 | −0.483 | −0.381 | −0.506 | −0.408 | −0.375 | 0.253 | 0.595 | −0.413 |
Sc | −0.026 | 0.242 | 0.148 | 0.087 | −0.147 | −0.005 | 0.225 | −0.278 | −0.077 | 0.121 | 0.277 | −0.209 | −0.060 | 1 | 0.316 | 0.121 | 0.030 | −0.018 | 0.220 | −0.209 | 0.202 | 0.243 |
V | −0.303 | 0.008 | −0.370 | 0.032 | −0.021 | −0.057 | 0.062 | −0.315 | −0.250 | −0.048 | 0.004 | −0.153 | −0.483 | 0.316 | 1 | 0.595 | 0.365 | 0.301 | 0.619 | −0.247 | −0.383 | 0.249 |
Cr | −0.137 | −0.021 | −0.308 | −0.055 | −0.122 | −0.205 | 0.045 | −0.052 | −0.314 | 0.360 | 0.015 | −0.066 | −0.381 | 0.121 | 0.595 | 1 | 0.268 | 0.448 | 0.333 | −0.183 | −0.181 | 0.147 |
Co | −0.495 | −0.431 | −0.529 | 0.350 | 0.220 | 0.375 | 0.367 | −0.437 | −0.199 | −0.404 | 0.093 | −0.292 | −0.506 | 0.030 | 0.365 | 0.268 | 1 | 0.812 | 0.404 | −0.175 | −0.506 | 0.451 |
Ni | −0.418 | −0.374 | −0.444 | 0.286 | 0.124 | 0.268 | 0.325 | −0.376 | −0.179 | −0.072 | 0.176 | −0.334 | −0.408 | −0.018 | 0.301 | 0.448 | 0.812 | 1 | 0.317 | −0.263 | −0.423 | 0.314 |
Cu | −0.233 | 0.096 | −0.290 | −0.199 | −0.178 | −0.093 | −0.097 | −0.339 | −0.441 | −0.065 | 0.427 | −0.311 | −0.375 | 0.220 | 0.619 | 0.333 | 0.404 | 0.317 | 1 | −0.214 | −0.196 | 0.341 |
Zn | 0.306 | 0.148 | 0.291 | −0.114 | −0.091 | −0.094 | −0.136 | 0.193 | 0.164 | −0.033 | −0.206 | 0.059 | 0.253 | −0.209 | −0.247 | −0.183 | −0.175 | −0.263 | −0.214 | 1 | 0.219 | −0.253 |
Ga | 0.709 | 0.639 | 0.832 | −0.511 | −0.440 | −0.483 | −0.447 | 0.369 | 0.140 | 0.438 | 0.201 | 0.242 | 0.595 | 0.202 | −0.383 | −0.181 | −0.506 | −0.423 | −0.196 | 0.219 | 1 | −0.180 |
Ge | −0.382 | −0.331 | −0.313 | 0.104 | 0.083 | 0.249 | 0.257 | −0.542 | −0.408 | −0.287 | 0.449 | −0.249 | −0.413 | 0.243 | 0.249 | 0.147 | 0.451 | 0.314 | 0.341 | −0.253 | −0.180 | 1 |
SiO2 | TiO2 | Al2O3 | Fe2O3 | MgO | CaO | MnO | K2O | P2O5 | Li | Be | B | F | Sc | V | Cr | Co | Ni | Cu | Zn | Ga | Ge | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
SiO2 | 1 | −0.598 | −0.014 | −0.104 | 0.019 | 0.073 | −0.344 | 0.171 | 0.173 | 0.143 | −0.188 | −0.271 | 0.366 | 0.333 | 0.143 | 0.035 | 0.022 | 0.337 | −0.147 | 0.016 | 0.036 | −0.222 |
TiO2 | −0.598 | 1 | −0.030 | −0.088 | 0.047 | −0.031 | 0.029 | −0.021 | −0.019 | −0.056 | 0.018 | 0.336 | −0.135 | −0.473 | −0.478 | −0.219 | −0.186 | −0.400 | 0.134 | 0.294 | −0.030 | 0.217 |
Al2O3 | −0.014 | −0.030 | 1 | 0.795 | 0.834 | 0.783 | −0.737 | −0.633 | −0.545 | −0.553 | −0.480 | −0.754 | −0.197 | −0.034 | −0.111 | 0.323 | 0.227 | −0.285 | −0.266 | −0.768 | 0.028 | 0.257 |
Fe2O3 | −0.104 | −0.088 | 0.795 | 1 | 0.715 | 0.408 | −0.464 | −0.688 | −0.519 | −0.462 | −0.271 | −0.642 | −0.380 | −0.069 | −0.157 | 0.207 | 0.084 | −0.221 | −0.222 | −0.654 | 0.042 | 0.047 |
MgO | 0.019 | 0.047 | 0.834 | 0.715 | 1 | 0.644 | −0.795 | −0.509 | −0.638 | −0.307 | −0.592 | −0.578 | −0.125 | −0.060 | −0.192 | 0.381 | 0.264 | −0.107 | −0.183 | −0.598 | 0.221 | 0.248 |
CaO | 0.073 | −0.031 | 0.783 | 0.408 | 0.644 | 1 | −0.738 | −0.485 | −0.315 | −0.374 | −0.509 | −0.702 | 0.073 | 0.030 | 0.057 | 0.299 | 0.261 | −0.173 | −0.248 | −0.577 | 0.147 | 0.226 |
MnO | −0.344 | 0.029 | −0.737 | −0.464 | −0.795 | −0.738 | 1 | 0.351 | 0.419 | 0.105 | 0.603 | 0.649 | −0.222 | −0.155 | 0.069 | −0.411 | −0.324 | −0.036 | 0.209 | 0.470 | −0.358 | −0.218 |
K2O | 0.171 | −0.021 | −0.633 | −0.688 | −0.509 | −0.485 | 0.351 | 1 | 0.360 | 0.301 | 0.342 | 0.567 | 0.082 | 0.048 | 0.017 | −0.157 | −0.081 | 0.075 | 0.191 | 0.395 | −0.123 | −0.041 |
P2O5 | 0.173 | −0.019 | −0.545 | −0.519 | −0.638 | −0.315 | 0.419 | 0.360 | 1 | 0.247 | 0.169 | 0.213 | 0.083 | 0.008 | 0.354 | −0.386 | −0.072 | 0.049 | −0.032 | 0.410 | −0.214 | −0.300 |
Li | 0.143 | −0.056 | −0.553 | −0.462 | −0.307 | −0.374 | 0.105 | 0.301 | 0.247 | 1 | 0.083 | 0.324 | 0.540 | 0.354 | 0.299 | 0.257 | 0.304 | 0.672 | −0.036 | 0.365 | 0.584 | −0.054 |
Be | −0.188 | 0.018 | −0.480 | −0.271 | −0.592 | −0.509 | 0.603 | 0.342 | 0.169 | 0.083 | 1 | 0.305 | −0.244 | −0.098 | −0.052 | −0.263 | −0.327 | −0.144 | 0.074 | 0.242 | −0.153 | −0.123 |
B | −0.271 | 0.336 | −0.754 | −0.642 | −0.578 | −0.702 | 0.649 | 0.567 | 0.213 | 0.324 | 0.305 | 1 | 0.006 | −0.224 | −0.219 | −0.337 | −0.263 | 0.063 | 0.313 | 0.636 | −0.135 | −0.048 |
F | 0.366 | −0.135 | −0.197 | −0.380 | −0.125 | 0.073 | −0.222 | 0.082 | 0.083 | 0.540 | −0.244 | 0.006 | 1 | 0.565 | 0.338 | 0.247 | 0.177 | 0.553 | −0.142 | 0.189 | 0.460 | 0.103 |
Sc | 0.333 | −0.473 | −0.034 | −0.069 | −0.060 | 0.030 | −0.155 | 0.048 | 0.008 | 0.354 | −0.098 | −0.224 | 0.565 | 1 | 0.669 | 0.450 | 0.387 | 0.673 | −0.181 | −0.263 | 0.359 | 0.100 |
V | 0.143 | −0.478 | −0.111 | −0.157 | −0.192 | 0.057 | 0.069 | 0.017 | 0.354 | 0.299 | −0.052 | −0.219 | 0.338 | 0.669 | 1 | 0.339 | 0.494 | 0.406 | −0.153 | −0.158 | 0.223 | 0.036 |
Cr | 0.035 | −0.219 | 0.323 | 0.207 | 0.381 | 0.299 | −0.411 | −0.157 | −0.386 | 0.257 | −0.263 | −0.337 | 0.247 | 0.450 | 0.339 | 1 | 0.812 | 0.389 | −0.162 | −0.458 | 0.430 | 0.367 |
Co | 0.022 | −0.186 | 0.227 | 0.084 | 0.264 | 0.261 | −0.324 | −0.081 | −0.072 | 0.304 | −0.327 | −0.263 | 0.177 | 0.387 | 0.494 | 0.812 | 1 | 0.313 | −0.250 | −0.390 | 0.307 | 0.270 |
Ni | 0.337 | −0.400 | −0.285 | −0.221 | −0.107 | −0.173 | −0.036 | 0.075 | 0.049 | 0.672 | −0.144 | 0.063 | 0.553 | 0.673 | 0.406 | 0.389 | 0.313 | 1 | −0.047 | 0.075 | 0.460 | 0.006 |
Cu | −0.147 | 0.134 | −0.266 | −0.222 | −0.183 | −0.248 | 0.209 | 0.191 | −0.032 | −0.036 | 0.074 | 0.313 | −0.142 | −0.181 | −0.153 | −0.162 | −0.250 | −0.047 | 1 | 0.237 | −0.198 | −0.063 |
Zn | 0.016 | 0.294 | −0.768 | −0.654 | −0.598 | −0.577 | 0.470 | 0.395 | 0.410 | 0.365 | 0.242 | 0.636 | 0.189 | −0.263 | −0.158 | −0.458 | −0.390 | 0.075 | 0.237 | 1 | 0.020 | −0.207 |
Ga | 0.036 | −0.030 | 0.028 | 0.042 | 0.221 | 0.147 | −0.358 | −0.123 | −0.214 | 0.584 | −0.153 | −0.135 | 0.460 | 0.359 | 0.223 | 0.430 | 0.307 | 0.460 | −0.198 | 0.020 | 1 | −0.047 |
Ge | −0.222 | 0.217 | 0.257 | 0.047 | 0.248 | 0.226 | −0.218 | −0.041 | −0.300 | −0.054 | −0.123 | −0.048 | 0.103 | 0.100 | 0.036 | 0.367 | 0.270 | 0.006 | −0.063 | −0.207 | −0.047 | 1 |
Al2O3 | SiO2 | CaO | Fe2O3 | K2O | MgO | MnO | Na2O | P2O5 | TiO2 | Li | Be | F | Sc | V | Cr | Co | Ni | Cu | Zn | Ga | Ge | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Al2O3 | 1 | 0.614 | 0.258 | 0.411 | 0.817 | 0.187 | 0.284 | 0.924 | 0.422 | 0.866 | 0.515 | 0.908 | 0.820 | 0.806 | 0.811 | 0.854 | 0.709 | 0.752 | 0.713 | 0.746 | 0.922 | 0.842 |
SiO2 | 0.614 | 1 | 0.097 | 0.159 | 0.729 | 0.060 | 0.099 | 0.693 | 0.117 | 0.581 | 0.708 | 0.503 | 0.342 | 0.543 | 0.512 | 0.461 | 0.352 | 0.416 | 0.389 | 0.348 | 0.565 | 0.514 |
CaO | 0.258 | 0.097 | 1 | 0.724 | 0.174 | 0.825 | 0.681 | 0.324 | 0.181 | 0.221 | 0.095 | 0.289 | 0.341 | 0.261 | 0.286 | 0.395 | 0.424 | 0.387 | 0.333 | 0.355 | 0.292 | 0.295 |
Fe2O3 | 0.411 | 0.159 | 0.724 | 1 | 0.272 | 0.739 | 0.823 | 0.469 | 0.204 | 0.387 | 0.172 | 0.448 | 0.458 | 0.409 | 0.434 | 0.565 | 0.480 | 0.547 | 0.469 | 0.451 | 0.434 | 0.435 |
K2O | 0.817 | 0.729 | 0.174 | 0.272 | 1 | 0.119 | 0.182 | 0.794 | 0.307 | 0.804 | 0.622 | 0.752 | 0.620 | 0.726 | 0.661 | 0.676 | 0.534 | 0.585 | 0.546 | 0.571 | 0.772 | 0.694 |
MgO | 0.187 | 0.060 | 0.825 | 0.739 | 0.119 | 1 | 0.634 | 0.238 | 0.145 | 0.165 | 0.063 | 0.205 | 0.247 | 0.182 | 0.194 | 0.289 | 0.287 | 0.293 | 0.235 | 0.228 | 0.201 | 0.199 |
MnO | 0.284 | 0.099 | 0.681 | 0.823 | 0.182 | 0.634 | 1 | 0.328 | 0.151 | 0.248 | 0.111 | 0.320 | 0.367 | 0.266 | 0.291 | 0.408 | 0.318 | 0.349 | 0.333 | 0.363 | 0.307 | 0.318 |
Na2O | 0.924 | 0.693 | 0.324 | 0.469 | 0.794 | 0.238 | 0.328 | 1 | 0.353 | 0.785 | 0.606 | 0.824 | 0.739 | 0.754 | 0.765 | 0.837 | 0.706 | 0.779 | 0.684 | 0.705 | 0.859 | 0.794 |
P2O5 | 0.422 | 0.117 | 0.181 | 0.204 | 0.307 | 0.145 | 0.151 | 0.353 | 1 | 0.320 | 0.126 | 0.414 | 0.590 | 0.326 | 0.313 | 0.388 | 0.454 | 0.396 | 0.300 | 0.422 | 0.413 | 0.381 |
TiO2 | 0.866 | 0.581 | 0.221 | 0.387 | 0.804 | 0.165 | 0.248 | 0.785 | 0.320 | 1 | 0.513 | 0.894 | 0.695 | 0.907 | 0.884 | 0.862 | 0.668 | 0.736 | 0.776 | 0.718 | 0.891 | 0.853 |
Li | 0.515 | 0.708 | 0.095 | 0.172 | 0.622 | 0.063 | 0.111 | 0.606 | 0.126 | 0.513 | 1 | 0.410 | 0.351 | 0.425 | 0.464 | 0.450 | 0.352 | 0.402 | 0.381 | 0.363 | 0.476 | 0.436 |
Be | 0.908 | 0.503 | 0.289 | 0.448 | 0.752 | 0.205 | 0.320 | 0.824 | 0.414 | 0.894 | 0.410 | 1 | 0.785 | 0.890 | 0.850 | 0.916 | 0.734 | 0.791 | 0.816 | 0.830 | 0.952 | 0.924 |
F | 0.820 | 0.342 | 0.341 | 0.458 | 0.620 | 0.247 | 0.367 | 0.739 | 0.590 | 0.695 | 0.351 | 0.785 | 1 | 0.623 | 0.650 | 0.784 | 0.703 | 0.689 | 0.626 | 0.781 | 0.758 | 0.728 |
Sc | 0.806 | 0.543 | 0.261 | 0.409 | 0.726 | 0.182 | 0.266 | 0.754 | 0.326 | 0.907 | 0.425 | 0.890 | 0.623 | 1 | 0.923 | 0.860 | 0.728 | 0.765 | 0.820 | 0.696 | 0.915 | 0.886 |
V | 0.811 | 0.512 | 0.286 | 0.434 | 0.661 | 0.194 | 0.291 | 0.765 | 0.313 | 0.884 | 0.464 | 0.850 | 0.650 | 0.923 | 1 | 0.913 | 0.778 | 0.795 | 0.875 | 0.780 | 0.922 | 0.896 |
Cr | 0.854 | 0.461 | 0.395 | 0.565 | 0.676 | 0.289 | 0.408 | 0.837 | 0.388 | 0.862 | 0.450 | 0.916 | 0.784 | 0.860 | 0.913 | 1 | 0.819 | 0.872 | 0.899 | 0.891 | 0.922 | 0.910 |
Co | 0.709 | 0.352 | 0.424 | 0.480 | 0.534 | 0.287 | 0.318 | 0.706 | 0.454 | 0.668 | 0.352 | 0.734 | 0.703 | 0.728 | 0.778 | 0.819 | 1 | 0.847 | 0.770 | 0.757 | 0.776 | 0.725 |
Ni | 0.752 | 0.416 | 0.387 | 0.547 | 0.585 | 0.293 | 0.349 | 0.779 | 0.396 | 0.736 | 0.402 | 0.791 | 0.689 | 0.765 | 0.795 | 0.872 | 0.847 | 1 | 0.780 | 0.748 | 0.810 | 0.798 |
Cu | 0.713 | 0.389 | 0.333 | 0.469 | 0.546 | 0.235 | 0.333 | 0.684 | 0.300 | 0.776 | 0.381 | 0.816 | 0.626 | 0.820 | 0.875 | 0.899 | 0.770 | 0.780 | 1 | 0.831 | 0.832 | 0.844 |
Zn | 0.746 | 0.348 | 0.355 | 0.451 | 0.571 | 0.228 | 0.363 | 0.705 | 0.422 | 0.718 | 0.363 | 0.830 | 0.781 | 0.696 | 0.780 | 0.891 | 0.757 | 0.748 | 0.831 | 1 | 0.824 | 0.842 |
Ga | 0.922 | 0.565 | 0.292 | 0.434 | 0.772 | 0.201 | 0.307 | 0.859 | 0.413 | 0.891 | 0.476 | 0.952 | 0.758 | 0.915 | 0.922 | 0.922 | 0.776 | 0.810 | 0.832 | 0.824 | 1 | 0.964 |
Ge | 0.842 | 0.514 | 0.295 | 0.435 | 0.694 | 0.199 | 0.318 | 0.794 | 0.381 | 0.853 | 0.436 | 0.924 | 0.728 | 0.886 | 0.896 | 0.910 | 0.725 | 0.798 | 0.844 | 0.842 | 0.964 | 1 |
SiO2 | CaO | Fe2O3 | K2O | MgO | MnO | Na2O | P2O5 | TiO2 | Li | Be | F | Sc | V | Cr | Co | Ni | Cu | Zn | Ga | Ge | As | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
SiO2 | 1 | −0.301 | −0.349 | 0.595 | −0.364 | −0.360 | 0.508 | −0.613 | 0.167 | 0.587 | −0.210 | −0.471 | 0.043 | −0.027 | −0.237 | −0.258 | −0.159 | −0.172 | −0.376 | −0.069 | −0.069 | −0.411 |
CaO | −0.301 | 1 | 0.875 | −0.182 | 0.942 | 0.854 | 0.471 | 0.235 | −0.011 | −0.242 | 0.020 | 0.186 | 0.024 | 0.088 | 0.311 | 0.383 | 0.308 | 0.247 | 0.293 | 0.015 | 0.086 | 0.127 |
Fe2O3 | −0.349 | 0.875 | 1 | −0.247 | 0.927 | 0.923 | 0.398 | 0.094 | 0.115 | −0.208 | 0.031 | 0.122 | 0.046 | 0.096 | 0.315 | 0.250 | 0.316 | 0.238 | 0.198 | −0.017 | 0.069 | 0.156 |
K2O | 0.595 | −0.182 | −0.247 | 1 | −0.217 | −0.242 | 0.198 | −0.139 | 0.374 | 0.653 | 0.346 | 0.119 | 0.404 | 0.262 | 0.239 | 0.102 | 0.158 | 0.133 | 0.148 | 0.347 | 0.298 | 0.201 |
MgO | −0.364 | 0.942 | 0.927 | −0.217 | 1 | 0.853 | 0.435 | 0.253 | 0.017 | −0.244 | 0.027 | 0.188 | 0.022 | 0.061 | 0.314 | 0.327 | 0.321 | 0.227 | 0.211 | 0.001 | 0.055 | 0.151 |
MnO | −0.360 | 0.854 | 0.923 | −0.242 | 0.853 | 1 | 0.356 | 0.112 | 0.011 | −0.217 | 0.035 | 0.187 | −0.015 | 0.044 | 0.282 | 0.172 | 0.201 | 0.203 | 0.261 | −0.011 | 0.085 | 0.148 |
Na2O | 0.508 | 0.471 | 0.398 | 0.198 | 0.435 | 0.356 | 1 | −0.185 | −0.087 | 0.260 | −0.420 | −0.349 | −0.247 | −0.242 | −0.152 | −0.078 | 0.020 | −0.172 | −0.239 | −0.313 | −0.255 | −0.452 |
P2O5 | −0.613 | 0.235 | 0.094 | −0.139 | 0.253 | 0.112 | −0.185 | 1 | −0.186 | −0.200 | 0.287 | 0.593 | 0.127 | 0.098 | 0.274 | 0.453 | 0.325 | 0.152 | 0.428 | 0.254 | 0.249 | 0.351 |
TiO2 | 0.167 | −0.011 | 0.115 | 0.374 | 0.017 | 0.011 | −0.087 | −0.186 | 1 | 0.173 | 0.276 | −0.082 | 0.472 | 0.449 | 0.324 | 0.116 | 0.195 | 0.389 | 0.184 | 0.215 | 0.307 | 0.365 |
Li | 0.587 | −0.242 | −0.208 | 0.653 | −0.244 | −0.217 | 0.260 | −0.200 | 0.173 | 1 | 0.240 | 0.202 | 0.362 | 0.408 | 0.344 | 0.254 | 0.332 | 0.295 | 0.194 | 0.404 | 0.338 | 0.082 |
Be | −0.210 | 0.020 | 0.031 | 0.346 | 0.027 | 0.035 | −0.420 | 0.287 | 0.276 | 0.240 | 1 | 0.684 | 0.869 | 0.765 | 0.848 | 0.656 | 0.723 | 0.773 | 0.730 | 0.918 | 0.880 | 0.771 |
F | −0.471 | 0.186 | 0.122 | 0.119 | 0.188 | 0.187 | −0.349 | 0.593 | −0.082 | 0.202 | 0.684 | 1 | 0.477 | 0.483 | 0.686 | 0.644 | 0.604 | 0.508 | 0.706 | 0.644 | 0.606 | 0.591 |
Sc | 0.043 | 0.024 | 0.046 | 0.404 | 0.022 | −0.015 | −0.247 | 0.127 | 0.472 | 0.362 | 0.869 | 0.477 | 1 | 0.909 | 0.820 | 0.684 | 0.719 | 0.794 | 0.575 | 0.902 | 0.858 | 0.641 |
V | −0.027 | 0.088 | 0.096 | 0.262 | 0.061 | 0.044 | −0.242 | 0.098 | 0.449 | 0.408 | 0.765 | 0.483 | 0.909 | 1 | 0.874 | 0.739 | 0.744 | 0.857 | 0.679 | 0.889 | 0.852 | 0.613 |
Cr | −0.237 | 0.311 | 0.315 | 0.239 | 0.314 | 0.282 | −0.152 | 0.274 | 0.324 | 0.344 | 0.848 | 0.686 | 0.820 | 0.874 | 1 | 0.794 | 0.853 | 0.897 | 0.840 | 0.865 | 0.857 | 0.751 |
Co | −0.258 | 0.383 | 0.250 | 0.102 | 0.327 | 0.172 | −0.078 | 0.453 | 0.116 | 0.254 | 0.656 | 0.644 | 0.684 | 0.739 | 0.794 | 1 | 0.840 | 0.750 | 0.710 | 0.729 | 0.652 | 0.513 |
Ni | −0.159 | 0.308 | 0.316 | 0.158 | 0.321 | 0.201 | 0.020 | 0.325 | 0.195 | 0.332 | 0.723 | 0.604 | 0.719 | 0.744 | 0.853 | 0.840 | 1 | 0.751 | 0.676 | 0.758 | 0.743 | 0.572 |
Cu | −0.172 | 0.247 | 0.238 | 0.133 | 0.227 | 0.203 | −0.172 | 0.152 | 0.389 | 0.295 | 0.773 | 0.508 | 0.794 | 0.857 | 0.897 | 0.750 | 0.751 | 1 | 0.799 | 0.796 | 0.814 | 0.678 |
Zn | −0.376 | 0.293 | 0.198 | 0.148 | 0.211 | 0.261 | −0.239 | 0.428 | 0.184 | 0.194 | 0.730 | 0.706 | 0.575 | 0.679 | 0.840 | 0.710 | 0.676 | 0.799 | 1 | 0.727 | 0.768 | 0.735 |
Ga | −0.069 | 0.015 | −0.017 | 0.347 | 0.001 | −0.011 | −0.313 | 0.254 | 0.215 | 0.404 | 0.918 | 0.644 | 0.902 | 0.889 | 0.865 | 0.729 | 0.758 | 0.796 | 0.727 | 1 | 0.946 | 0.653 |
Ge | −0.069 | 0.086 | 0.069 | 0.298 | 0.055 | 0.085 | −0.255 | 0.249 | 0.307 | 0.338 | 0.880 | 0.606 | 0.858 | 0.852 | 0.857 | 0.652 | 0.743 | 0.814 | 0.768 | 0.946 | 1 | 0.685 |
As | −0.411 | 0.127 | 0.156 | 0.201 | 0.151 | 0.148 | −0.452 | 0.351 | 0.365 | 0.082 | 0.771 | 0.591 | 0.641 | 0.613 | 0.751 | 0.513 | 0.572 | 0.678 | 0.735 | 0.653 | 0.685 | 1 |
Al2O3 | SiO2 | CaO | Fe2O3 | K2O | MgO | MnO | Na2O | P2O5 | TiO2 | Li | Be | F | Cl | Sc | V | Cr | Co | Ni | Cu | Zn | Ga | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Al2O3 | 1 | 0.544 | −0.434 | −0.289 | 0.519 | −0.341 | −0.310 | 0.672 | 0.063 | 0.326 | 0.355 | 0.342 | 0.335 | −0.213 | −0.060 | −0.049 | −0.182 | −0.212 | −0.172 | −0.325 | −0.246 | 0.439 |
SiO2 | 0.544 | 1 | −0.417 | −0.399 | 0.732 | −0.437 | −0.419 | 0.724 | −0.464 | 0.433 | 0.760 | 0.070 | −0.299 | 0.013 | 0.307 | 0.192 | −0.220 | −0.267 | −0.102 | −0.181 | −0.415 | 0.448 |
CaO | −0.434 | −0.417 | 1 | 0.820 | −0.470 | 0.927 | 0.803 | −0.003 | 0.043 | −0.609 | −0.349 | −0.519 | 0.117 | −0.087 | −0.395 | −0.256 | 0.245 | 0.368 | 0.240 | 0.059 | 0.121 | −0.611 |
Fe2O3 | −0.289 | −0.399 | 0.820 | 1 | −0.455 | 0.903 | 0.898 | 0.042 | −0.100 | −0.354 | −0.255 | −0.351 | 0.079 | −0.156 | −0.278 | −0.172 | 0.360 | 0.140 | 0.306 | 0.072 | −0.024 | −0.568 |
K2O | 0.519 | 0.732 | −0.470 | −0.455 | 1 | −0.436 | −0.449 | 0.464 | −0.115 | 0.480 | 0.612 | 0.146 | −0.027 | 0.047 | 0.172 | −0.118 | −0.401 | −0.368 | −0.294 | −0.414 | −0.387 | 0.249 |
MgO | −0.341 | −0.437 | 0.927 | 0.903 | −0.436 | 1 | 0.812 | 0.035 | 0.097 | −0.460 | −0.339 | −0.453 | 0.121 | −0.195 | −0.361 | −0.281 | 0.285 | 0.269 | 0.281 | 0.045 | −0.013 | −0.605 |
MnO | −0.310 | −0.419 | 0.803 | 0.898 | −0.449 | 0.812 | 1 | −0.010 | −0.068 | −0.467 | −0.273 | −0.321 | 0.182 | −0.057 | −0.394 | −0.260 | 0.287 | 0.013 | 0.082 | 0.034 | 0.129 | −0.523 |
Na2O | 0.672 | 0.724 | −0.003 | 0.042 | 0.464 | 0.035 | −0.010 | 1 | −0.154 | 0.040 | 0.612 | −0.096 | 0.080 | −0.144 | −0.171 | −0.123 | −0.022 | −0.076 | 0.116 | −0.286 | −0.275 | 0.123 |
P2O5 | 0.063 | −0.464 | 0.043 | −0.100 | −0.115 | 0.097 | −0.068 | −0.154 | 1 | −0.370 | −0.328 | −0.109 | 0.592 | −0.048 | −0.373 | −0.457 | −0.314 | 0.254 | 0.028 | −0.343 | 0.113 | −0.171 |
TiO2 | 0.326 | 0.433 | −0.609 | −0.354 | 0.480 | −0.460 | −0.467 | 0.040 | −0.370 | 1 | 0.349 | 0.320 | −0.199 | 0.009 | 0.552 | 0.427 | 0.019 | −0.352 | −0.182 | 0.069 | −0.320 | 0.248 |
Li | 0.355 | 0.760 | −0.349 | −0.255 | 0.612 | −0.339 | −0.273 | 0.612 | −0.328 | 0.349 | 1 | −0.251 | −0.124 | 0.185 | 0.016 | 0.170 | −0.008 | −0.128 | −0.010 | −0.069 | −0.182 | 0.155 |
Be | 0.342 | 0.070 | −0.519 | −0.351 | 0.146 | −0.453 | −0.321 | −0.096 | −0.109 | 0.320 | −0.251 | 1 | −0.046 | −0.267 | 0.226 | −0.146 | −0.110 | −0.446 | −0.306 | −0.015 | −0.047 | 0.333 |
F | 0.335 | −0.299 | 0.117 | 0.079 | −0.027 | 0.121 | 0.182 | 0.080 | 0.592 | −0.199 | −0.124 | −0.046 | 1 | −0.005 | −0.628 | −0.495 | −0.091 | 0.068 | −0.107 | −0.339 | 0.252 | −0.353 |
Cl | −0.213 | 0.013 | −0.087 | −0.156 | 0.047 | −0.195 | −0.057 | −0.144 | −0.048 | 0.009 | 0.185 | −0.267 | −0.005 | 1 | 0.037 | 0.001 | −0.275 | 0.129 | 0.131 | −0.081 | −0.066 | −0.128 |
Sc | −0.060 | 0.307 | −0.395 | −0.278 | 0.172 | −0.361 | −0.394 | −0.171 | −0.373 | 0.552 | 0.016 | 0.226 | −0.628 | 0.037 | 1 | 0.611 | −0.072 | −0.093 | −0.075 | 0.249 | −0.503 | 0.409 |
V | −0.049 | 0.192 | −0.256 | −0.172 | −0.118 | −0.281 | −0.260 | −0.123 | −0.457 | 0.427 | 0.170 | −0.146 | −0.495 | 0.001 | 0.611 | 1 | 0.384 | 0.138 | 0.070 | 0.498 | −0.042 | 0.456 |
Cr | −0.182 | −0.220 | 0.245 | 0.360 | −0.401 | 0.285 | 0.287 | −0.022 | −0.314 | 0.019 | −0.008 | −0.110 | −0.091 | −0.275 | −0.072 | 0.384 | 1 | 0.145 | 0.308 | 0.578 | 0.415 | −0.207 |
Co | −0.212 | −0.267 | 0.368 | 0.140 | −0.368 | 0.269 | 0.013 | −0.076 | 0.254 | −0.352 | −0.128 | −0.446 | 0.068 | 0.129 | −0.093 | 0.138 | 0.145 | 1 | 0.505 | 0.245 | 0.145 | −0.232 |
Ni | −0.172 | −0.102 | 0.240 | 0.306 | −0.294 | 0.281 | 0.082 | 0.116 | 0.028 | −0.182 | −0.010 | −0.306 | −0.107 | 0.131 | −0.075 | 0.070 | 0.308 | 0.505 | 1 | 0.182 | −0.027 | −0.258 |
Cu | −0.325 | −0.181 | 0.059 | 0.072 | −0.414 | 0.045 | 0.034 | −0.286 | −0.343 | 0.069 | −0.069 | −0.015 | −0.339 | −0.081 | 0.249 | 0.498 | 0.578 | 0.245 | 0.182 | 1 | 0.373 | 0.032 |
Zn | −0.246 | −0.415 | 0.121 | −0.024 | −0.387 | −0.013 | 0.129 | −0.275 | 0.113 | −0.320 | −0.182 | −0.047 | 0.252 | −0.066 | −0.503 | −0.042 | 0.415 | 0.145 | −0.027 | 0.373 | 1 | −0.200 |
Ga | 0.439 | 0.448 | −0.611 | −0.568 | 0.249 | −0.605 | −0.523 | 0.123 | −0.171 | 0.248 | 0.155 | 0.333 | −0.353 | −0.128 | 0.409 | 0.456 | −0.207 | −0.232 | −0.258 | 0.032 | −0.200 | 1 |
Al2O3 | SiO2 | CaO | Fe2O3 | K2O | MgO | MnO | Na2O | P2O5 | TiO2 | Li | Be | F | Cl | Sc | V | Cr | Co | Ni | Cu | Zn | Ga | |
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Al2O3 | 1 | −0.533 | −0.599 | 0.395 | −0.530 | −0.502 | 0.468 | −0.493 | 0.290 | 0.715 | −0.089 | −0.521 | 0.108 | 0.199 | 0.102 | −0.212 | −0.274 | −0.103 | −0.100 | −0.351 | 0.146 | 0.116 |
SiO2 | −0.533 | 1 | 0.765 | −0.810 | 0.924 | 0.696 | −0.893 | −0.109 | −0.771 | −0.722 | −0.537 | −0.135 | −0.086 | −0.452 | −0.357 | −0.074 | 0.203 | 0.023 | −0.053 | 0.029 | −0.617 | −0.414 |
CaO | −0.599 | 0.765 | 1 | −0.743 | 0.824 | 0.795 | −0.835 | −0.200 | −0.532 | −0.611 | −0.399 | −0.163 | −0.142 | −0.310 | −0.246 | 0.031 | −0.034 | 0.116 | −0.003 | −0.060 | −0.521 | −0.323 |
Fe2O3 | 0.395 | −0.810 | −0.743 | 1 | −0.808 | −0.685 | 0.681 | 0.310 | 0.688 | 0.589 | 0.486 | 0.235 | 0.177 | 0.340 | 0.149 | −0.055 | −0.202 | −0.178 | −0.075 | 0.016 | 0.465 | 0.262 |
K2O | −0.530 | 0.924 | 0.824 | −0.808 | 1 | 0.637 | −0.858 | −0.112 | −0.749 | −0.714 | −0.599 | −0.215 | −0.227 | −0.438 | −0.372 | −0.059 | 0.126 | 0.074 | −0.071 | −0.106 | −0.589 | −0.431 |
MgO | −0.502 | 0.696 | 0.795 | −0.685 | 0.637 | 1 | −0.759 | −0.227 | −0.583 | −0.532 | −0.352 | −0.035 | −0.007 | −0.436 | −0.326 | −0.072 | −0.219 | −0.195 | −0.048 | 0.091 | −0.460 | −0.231 |
MnO | 0.468 | −0.893 | −0.835 | 0.681 | −0.858 | −0.759 | 1 | 0.255 | 0.593 | 0.686 | 0.470 | 0.225 | 0.084 | 0.315 | 0.299 | 0.108 | 0.020 | 0.108 | 0.035 | 0.084 | 0.540 | 0.336 |
Na2O | −0.493 | −0.109 | −0.200 | 0.310 | −0.112 | −0.227 | 0.255 | 1 | 0.078 | −0.159 | 0.299 | 0.669 | 0.057 | 0.023 | −0.042 | 0.009 | 0.330 | 0.111 | −0.083 | 0.268 | 0.202 | 0.120 |
P2O5 | 0.290 | −0.771 | −0.532 | 0.688 | −0.749 | −0.583 | 0.593 | 0.078 | 1 | 0.501 | 0.716 | 0.163 | 0.184 | 0.679 | 0.612 | 0.313 | −0.043 | 0.060 | 0.359 | 0.133 | 0.556 | 0.473 |
TiO2 | 0.715 | −0.722 | −0.611 | 0.589 | −0.714 | −0.532 | 0.686 | −0.159 | 0.501 | 1 | 0.046 | −0.116 | 0.247 | 0.079 | 0.168 | −0.086 | −0.189 | −0.103 | −0.014 | −0.113 | 0.157 | 0.072 |
Li | −0.089 | −0.537 | −0.399 | 0.486 | −0.599 | −0.352 | 0.470 | 0.299 | 0.716 | 0.046 | 1 | 0.360 | 0.052 | 0.672 | 0.522 | 0.482 | 0.122 | 0.176 | 0.461 | 0.438 | 0.716 | 0.666 |
Be | −0.521 | −0.135 | −0.163 | 0.235 | −0.215 | −0.035 | 0.225 | 0.669 | 0.163 | −0.116 | 0.360 | 1 | 0.110 | −0.151 | −0.082 | 0.068 | 0.138 | −0.075 | −0.059 | 0.410 | 0.090 | 0.097 |
F | 0.108 | −0.086 | −0.142 | 0.177 | −0.227 | −0.007 | 0.084 | 0.057 | 0.184 | 0.247 | 0.052 | 0.110 | 1 | −0.227 | −0.258 | −0.556 | −0.136 | −0.174 | −0.271 | −0.264 | −0.345 | −0.281 |
Cl | 0.199 | −0.452 | −0.310 | 0.340 | −0.438 | −0.436 | 0.315 | 0.023 | 0.679 | 0.079 | 0.672 | −0.151 | −0.227 | 1 | 0.817 | 0.546 | 0.220 | 0.242 | 0.581 | 0.129 | 0.729 | 0.654 |
Sc | 0.102 | −0.357 | −0.246 | 0.149 | −0.372 | −0.326 | 0.299 | −0.042 | 0.612 | 0.168 | 0.522 | −0.082 | −0.258 | 0.817 | 1 | 0.721 | 0.354 | 0.312 | 0.697 | 0.358 | 0.684 | 0.628 |
V | −0.212 | −0.074 | 0.031 | −0.055 | −0.059 | −0.072 | 0.108 | 0.009 | 0.313 | −0.086 | 0.482 | 0.068 | −0.556 | 0.546 | 0.721 | 1 | 0.353 | 0.452 | 0.755 | 0.662 | 0.506 | 0.562 |
Cr | −0.274 | 0.203 | −0.034 | −0.202 | 0.126 | −0.219 | 0.020 | 0.330 | −0.043 | −0.189 | 0.122 | 0.138 | −0.136 | 0.220 | 0.354 | 0.353 | 1 | 0.500 | 0.362 | 0.278 | 0.088 | −0.010 |
Co | −0.103 | 0.023 | 0.116 | −0.178 | 0.074 | −0.195 | 0.108 | 0.111 | 0.060 | −0.103 | 0.176 | −0.075 | −0.174 | 0.242 | 0.312 | 0.452 | 0.500 | 1 | 0.318 | 0.150 | 0.106 | 0.194 |
Ni | −0.100 | −0.053 | −0.003 | −0.075 | −0.071 | −0.048 | 0.035 | −0.083 | 0.359 | −0.014 | 0.461 | −0.059 | −0.271 | 0.581 | 0.697 | 0.755 | 0.362 | 0.318 | 1 | 0.544 | 0.402 | 0.507 |
Cu | −0.351 | 0.029 | −0.060 | 0.016 | −0.106 | 0.091 | 0.084 | 0.268 | 0.133 | −0.113 | 0.438 | 0.410 | −0.264 | 0.129 | 0.358 | 0.662 | 0.278 | 0.150 | 0.544 | 1 | 0.329 | 0.468 |
Zn | 0.146 | −0.617 | −0.521 | 0.465 | −0.589 | −0.460 | 0.540 | 0.202 | 0.556 | 0.157 | 0.716 | 0.090 | −0.345 | 0.729 | 0.684 | 0.506 | 0.088 | 0.106 | 0.402 | 0.329 | 1 | 0.844 |
Ga | 0.116 | −0.414 | −0.323 | 0.262 | −0.431 | −0.231 | 0.336 | 0.120 | 0.473 | 0.072 | 0.666 | 0.097 | −0.281 | 0.654 | 0.628 | 0.562 | −0.010 | 0.194 | 0.507 | 0.468 | 0.844 | 1 |
Input: The similarities graph . Output: Print hierarchy clustering records. Begin: Initialize: Elements clusters , Minimum distance Cluster index . While do . For ) do For do Calculate the distance between and : If then . End for End for Merge cluster and : .Delete and from . Append to Print elements . End While End |
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Xu, N.; Peng, M.; Li, Q.; Xu, C. Towards Consistent Interpretations of Coal Geochemistry Data on Whole-Coal versus Ash Bases through Machine Learning. Minerals 2020, 10, 328. https://doi.org/10.3390/min10040328
Xu N, Peng M, Li Q, Xu C. Towards Consistent Interpretations of Coal Geochemistry Data on Whole-Coal versus Ash Bases through Machine Learning. Minerals. 2020; 10(4):328. https://doi.org/10.3390/min10040328
Chicago/Turabian StyleXu, Na, Mengmeng Peng, Qing Li, and Chuanpeng Xu. 2020. "Towards Consistent Interpretations of Coal Geochemistry Data on Whole-Coal versus Ash Bases through Machine Learning" Minerals 10, no. 4: 328. https://doi.org/10.3390/min10040328