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March 23, 2026The Journal of Physical Chemistry Letters0 citationsOpen Access

Configurational Entropy and Phase Stability in Lead-Free Mixed-Halide CsSn(Br x I 1– x ) 3

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XLXing LiuBWBowen WangJGJiacheng Gong

Key Points

  • The study aims to explore the thermodynamics of Br/I alloying in lead-free CsSn(BrxI1–x)3.
  • Used density functional theory calculations for thermodynamic analysis.
  • Analyzed partition functions across various cubic, tetragonal, and orthorhombic configurations.
  • Measured connectivity between local octahedral distortions and thermodynamic stability.
  • The orthorhombic phase shows the lowest mixing free-energy, indicating stability.
  • Cubic phase was found to be least favorable for Br/I mixing.
  • Free-energy difference indicates a strong preference for the orthorhombic phase across the composition range.

Abstract

Metal halide perovskites have high compositional tunability, but halide mixing is often accompanied by phase segregation and instability in lead-free Sn-based systems. Here, we investigate the thermodynamics of Br/I alloying in CsSn(BrxI1-x)3 by combining density functional theory calculations with partition functions over all symmetry-inequivalent configurations of the cubic, tetragonal, and orthorhombic phases. We find that the orthorhombic phase exhibits the lowest mixing free-energy curve and is closest to the thermodynamic miscibility boundary, whereas the cubic phase remains the least favorable for Br/I mixing. At 300 K, the free-energy difference ΔFcub-orth = Fcub - Forth is positive over the entire composition range ((1.27-3.42)kBT), indicating a robust thermodynamic preference for the orthorhombic phase. The enhanced stability of the low-symmetry phase originates from more effective local structural relaxation. Our results further reveal a link between local octahedral distortions and thermodynamic stability, providing theoretical guidance for the compositional design of lead-free Sn-based mixed-halide perovskites.

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Cite This Study

Liu et al. (2026) studied this question.

synapsesocial.com/papers/69c0de74fddb9876e79c1426https://doi.org/10.1021/acs.jpclett.6c00224
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