Co-expression of multi-genes for polynary perovskite electrocatalysts for reversible solid oxide cells

High-entropy LnBaCo₂O_5+δ perovskites are explored as rSOC air electrodes, though high configuration entropy (S_config) alone poorly correlates with performance due to multifactorial interactions. We systematically engineer LnBaCo₂O_5+δ perovskites (Ln = lanthanides) with tunable S_config and 20 consistent parameters, employing Bayesian-optimized symbolic regression to decode activity descriptors. The model identifies synergistic contributions from S_config, ionic radius, and electronegativity, enabling screening of 177,100 compositions. Three validated oxides exhibit superior activity/durability, particularly (Pr_0.05La_0.4Nd_0.2Sm_0.1Y_0.25)BaCo₂O_5+δ, showing enhanced oxygen vacancy concentration and disordered transport pathways. First-principles studies reveal optimized charge transfer kinetics via cobalt-oxygen bond modulation. Further, the interplay between first ionization energy, atomic mass, and ionic Lewis acidity dictates stability. This data-driven approach establishes a quantitative framework bridging entropy engineering and catalytic functionality in complex oxides.