Empirical Correlation Between Energy Descriptor and Superconducting Properties in EuIn₂AsP: A Quantitative Model

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Abstract

This paper proposes a predictive empirical framework relating a computed energy descriptor (E) to critical superconducting properties in EuIn₂AsP. The descriptor, originally derived from texture and composition, is shown to correlate strongly with both critical temperature (Tₙ) and critical current density (Jₙ) using nonlinear and power-law models. Regression analysis yields R² values of 0.978 for E vs Tₙ and 0.944 for E vs Jₙ, confirming the robustness of the proposed correlations. This work enables fast estimation of superconducting performance from crystallographic and compositional inputs.

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