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Zhang et al. J. Mater. Inf. 2026, 6, 11                                           Page 3 of 17





               thereby significantly reducing thermal conductivity [29,31] . On the other hand, K  in ceramics predominantly
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               depends on intrinsic factors, including bond strength, lattice rigidity, and phase stability, along with extrinsic
               toughening mechanisms such as crack deflection, bridging, and stress-induced phase transformations [32-34] .
               Controlled introduction of structural distortions and interfaces is known to activate these toughening
               mechanisms, thereby improving fracture resistance in brittle oxide ceramics [23,24,35] . Despite these advances, a
               comprehensive, systematic understanding of the individual contributions of different RE elements to the
               delicate balance between low κ  and high K  in zirconate and tantalate systems remains elusive. Clarifying
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               these relationships is essential for rationally optimizing and designing advanced TBC materials with tailored
               thermomechanical properties.

               Traditional experimental approaches to thermal barrier material discovery, typically grounded in empirical
               trial-and-error methodologies , face significant limitations when applied to the vast compositional space of
                                        [36]
               RE oxides. The high cost, long cycle times and difficulty in isolating intrinsic structure–property
               relationships hinder the ability of these methods to identify high-performance candidates efficiently [37-39] .
               Moreover, most existing studies focus on individual compositions, lacking a systematic cross-comparison of
               the full RE series. Addressing these challenges requires an integrated strategy that can both explore broad
               chemical design spaces and uncover the underlying physical principles governing thermomechanical
               performance . Advances in high-throughput computational methods combined with data-driven analyses
                          [40]
               have emerged as powerful tools for the accelerated discovery and rational design of complex,
               multicomponent materials [3,41,42] . By systematically computing material properties across broad chemical
               spaces using first-principles calculations and subsequently analyzing the resulting large datasets, these
               approaches enable the identification of key physical parameters and governing principles that link
               atomic-scale features to macroscopic behavior . For instance, such approaches have identified correlations
                                                      [43]
               between ionic charge and thermal conductivity in perovskite oxides  and quantified the impact of severe
                                                                         [44]
               lattice distortion on K  in ceramics by linking it to local bonding environments and macroscopic
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               elastic/plastic properties [26,27] . In addition, they have revealed how atomic bonding distortions directly
               influence phonon scattering and reduce thermal conductivity in RE oxides [13,27] .


               In this work, the present work systematically investigates and compares structural stability, κ , K , and
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               bonding characteristics in RE Zr O  (pyrochlore/defect fluorite) and RE TaO  (Weberite-type/defect fluorite)
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                                       2
                                          2
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               oxides across 17 RE elements (RE = Sc, Y, La ~ Lu). Although RE TaO  and RE Zr O  oxides differ in
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               stoichiometry and crystal symmetry, both systems feature BO  (B = Ta or Zr) octahedra and distorted RE
                                                                     6
               coordination polyhedra derived from fluorite-related frameworks. These structural analogies, together with
               shared controlling factors such as RE ionic radius (r ), bond distortion and electronic distribution, support
                                                          RE3+
               a unified structure–property comparison across both families. By employing a high-throughput calculations
               approach combined with data-driven analytics, this study generates an extensive dataset encompassing
               formation energy (E form ), equilibrium volume (V 0), lattice parameters, bond characteristics, thermal
               conductivities, and K . Subsequent correlation analyses and dimensionality reduction techniques identify
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               key atomic-scale descriptors, including ionic radius, bond-length heterogeneity and valence state stability,
               that critically govern thermomechanical properties. This study elucidates the fundamental mechanisms
               dictating the trade-offs between low thermal conductivity and high K  in these oxide families, thereby
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               providing an essential data-driven foundation to guide the rational selection and design of next-generation
               TBC materials. Moreover, the methodological framework demonstrated herein exemplifies how data-driven
               approaches can significantly advance the fundamental understanding of structure–property relationships in
               complex multicomponent ceramic systems, aligning closely with current objectives in high-impact materials
               science research.
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