• Journal of Inorganic Materials
  • Vol. 37, Issue 12, 1321 (2022)
Zhixiang JIAO*, Fanhao JIA, Yongchen WANG, Jianguo CHEN, Wei REN, and Jinrong CHENG
DOI: 10.15541/jim20220080 Cite this Article
Zhixiang JIAO, Fanhao JIA, Yongchen WANG, Jianguo CHEN, Wei REN, Jinrong CHENG. Curie Temperature Prediction of BiFeO3-PbTiO3-BaTiO3 Solid Solution Based on Machine Learning[J]. Journal of Inorganic Materials, 2022, 37(12): 1321 Copy Citation Text show less
Schematic diagram of ABO3 perovskite structure
. Schematic diagram of ABO3 perovskite structure
Relationship between Tc and μ or μ*A/B
. Relationship between Tc and μ or μ*A/B
Correlations between the Tc and the candidate descriptors
. Correlations between the Tc and the candidate descriptors
RMSE and MaxAE of μ and μ*A/B varied with dimension under different operation modes
. RMSE and MaxAE of μ and μ*A/B varied with dimension under different operation modes
RMSE and MaxAE of two descriptors (a) and three descriptors (b) as a function of dimension
. RMSE and MaxAE of two descriptors (a) and three descriptors (b) as a function of dimension
Effects of the changes of descriptor and model dimension on the RMSE and MaxAE
. Effects of the changes of descriptor and model dimension on the RMSE and MaxAE
Experimental Tc and prediction Tc for training set (black square) and test set (red circle)
. Experimental Tc and prediction Tc for training set (black square) and test set (red circle)
FeatureNamePhysical attributes
μReduced massReduced mass of atoms
A/BIonic radiusShannon ion radius
A/B_CCovalent radiusThe covalent bond radius of an atom
A/B_EElectronegativityElectronegativity of atoms
A/B_NVNValenceThe number of electrons of unfilled orbitals
A/B_NUNUfilledThe number of electrons of unfilled orbitals
A/B_SSpace group numberingThe serial number of the element's space group in the space group table
Ti,Fe,Ba,Pb,BiElement contentElement content ratio of metal ions
Table 1. Basic descriptor and related physical meaning
SampleTc/℃ (y) μʹ (x1) A/ (x2) A/B_NU (x3) Ba (x4) Pb (x5) Bi (x6)
Bi0.62Pb0.23Ba0.15Fe0.62Ti0.38O35470.28210.38820.50360.07500.11500.3100
Bi0.6Pb0.25Ba0.15Fe0.6Ti0.4O35400.26900.46060.50000.07500.12500.3000
Bi0.54Pb0.31Ba0.15Fe0.54Ti0.46O35020.22950.67890.48970.07500.15500.2700
Table 2. The test sets after adjusting descriptor parameters
SampleExperim-ental Tc/℃ Predi-ction Tc/℃ Abso-lute error/℃ Rela-tive-error/%
Bi0.62Pb0.23Ba0.15Fe0.62Ti0.38O3547544.912.090.38
Bi0.6Pb0.25Ba0.15Fe0.6Ti0.4O3540536.123.880.72
Bi0.54Pb0.31Ba0.15Fe0.54Ti0.46O3502492.529.481.89
Table 3. Results of external verification set
Zhixiang JIAO, Fanhao JIA, Yongchen WANG, Jianguo CHEN, Wei REN, Jinrong CHENG. Curie Temperature Prediction of BiFeO3-PbTiO3-BaTiO3 Solid Solution Based on Machine Learning[J]. Journal of Inorganic Materials, 2022, 37(12): 1321
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