Quantitative Energy-Property Relationships in IrZr₃ Superconductor with Negative Thermal Expansion

Abstract

This work establishes complete quantitative relationships between the energy density (E) and superconducting properties of IrZr₃, validated through R² goodness-of-fit analysis. We demonstrate: 

1. Strong correlation between E and T_c (R² = 0.94)
2. Predictive power for J_c (R² = 0.89)
3. NTE-induced energy stabilization (U = -1.898 kJ/m³ baseline)

The model enables texture (A) and composition (wt%) optimization of superconducting performance.

Description:
Presents R²-validated scaling laws (T_c: R² = 0.94; J_c: R² = 0.89) with microstructure-aware corrections. Highlights the -1.898 kJ/m³ NTE stabilization energy and its role in enhancing N(E_F) by ~12%.