### Abstract

Laser-induced breakdown spectroscopy (LIBS) with partial least squares regression (PLSR) has been applied to measuring the acidity of iron ore, which can be defined by the concentrations of oxides: CaO, MgO, Al_{2}O_{3}, and SiO_{2}. With the conventional internal standard calibration, it is difficult to establish the calibration curves of CaO, MgO, Al_{2}O_{3}, and SiO_{2} in iron ore due to the serious matrix effects. PLSR is effective to address this problem due to its excellent performance in compensating the matrix effects. In this work, fifty samples were used to construct the PLSR calibration models for the above-mentioned oxides. These calibration models were validated by the 10-fold cross-validation method with the minimum root-mean-square errors (RMSE). Another ten samples were used as a test set. The acidities were calculated according to the estimated concentrations of CaO, MgO, Al_{2}O_{3}, and SiO_{2} using the PLSR models. The average relative error (ARE) and RMSE of the acidity achieved 3.65% and 0.0048, respectively, for the test samples.

Original language | English (US) |
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Pages (from-to) | 7795-7801 |

Number of pages | 7 |

Journal | Optics Express |

Volume | 23 |

Issue number | 6 |

DOIs | |

State | Published - Mar 23 2015 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

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## Cite this

*Optics Express*,

*23*(6), 7795-7801. https://doi.org/10.1364/OE.23.007795