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    Carbon-carbon interactions in warm dense titanium carbide

    Katerina P. Hilleke1,*, Valentin V. Karasiev1, and S. X. Hu1,2,3,†

    • *Contact author: khil@lle.rochester.edu
    • †Contact author: shu@lle.rochester.edu

    Phys. Rev. B 112, 144109 – Published 29 October, 2025

    DOI: https://doi.org/10.1103/phfw-9bp9

    Abstract

    Encouraged by experimental reports of diamond precipitation in carbon-containing materials under warm dense matter conditions and in shock compression experiments, we examine the behavior of carbon in TiC using density functional theory–molecular dynamics simulations. Two polymorphs of TiC are considered, the ambient-pressure B1 (Fm3¯m) structure in which C-C interactions are prevented by geometric constraints and a high-pressure Cmcm structure in which C atoms condense into zigzag chains. Chemistry-inspired bonding analyses confirm the covalently bound nature of these chains and further illuminate important interatomic interactions in both structures. Upon melting of B1 TiC, new short-range C-C interactions develop in the liquid, while the preexisting C-C interactions in Cmcm TiC persist in the liquid. The resulting carbon networks in the melt provide a promising environment for eventual diamond nucleation.

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