fig7

Figure 7. Correlation analysis across RE₃TaO₇ and RE₂Zr₂O₇ between target properties and fundamental descriptors, including are-earth ionic radius ($$ r_{RE^{3+}} $$), equilibrium volume (V₀), total energy (E₀), formation energy (E_form), bond energy (E_b) for RE–O, Ta–O, and Zr–O bonds, bond-length disorder (D_b) and Bader charge disorder (D_e). Pearson correlation heatmap for (A) RE₃TaO₇ and (B) RE₂Zr₂O₇. Colored sidebars indicate feature clusters derived from hierarchical clustering; (C) SHAP analysis showing the top five most influential features (ranked by mean SHAP value) for predicting K_IC and κ_L in each system. RE: Rare-earth; SHAP: SHapley Additive exPlanations.