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    Unified mechanism behind the body-centered-cubic phase stability in compressed solids

    Masaaki Geshi1, Hiroki Funashima2, and Gayan Prasad Hettiarachchi1

    • 1R3 Institute for Newly-Emerging Science Design, The University of Osaka, 1–2 Machikaneyama, Toyonaka, Osaka 560-0043, Japan
    • 2Department of Comprehensive Engineering, Kindai University Technical College, 7-1 Kasugaoka, Nabari, Mie 518-0459, Japan

    Phys. Rev. B 112, 125161 – Published 26 September, 2025

    DOI: https://doi.org/10.1103/6cnj-9lr4

    Abstract

    We propose a unified mechanism to understand the remarkable stability of the body-centered cubic (bcc) phase in compressed solids, rooted in the orbital character of the electronic structure. In our previous study [Phys. Rev. B 108, 094112 (2023)], we showed that the contrasting high-pressure behavior of phosphorus (P), arsenic (As), and antimony (Sb)—where As and Sb adopt a stable bcc phase, but P does not—can be explained by whether a bonding-antibonding state composed purely of p orbitals is preserved or not. In this paper, we extend this framework to the chalcogen elements and to the d-electron system titanium (Ti). First-principles calculations reveal that sulfur (S) exhibits a similar p-orbital-driven stabilization of the bcc phase, while heavier chalcogens are destabilized due to the occupation of antibonding p states. In Ti, we identify a pressure-induced s−d transition accompanied by the orbital-symmetry-resolved formation of a bonding-antibonding state within the d manifold. Under high pressure, the electronic occupations of the t2g and eg orbitals approach an ideal 2:1 ratio, reinforcing the bonding framework and enhancing the stability of the bcc phase up to at least 1000 GPa. These results support a general criterion for the bcc phase stability in compressed elements based on orbital purity and symmetry, providing a unifying perspective across disparate chemical families.

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