<p>This dataset contains a list of <a href="https://pymatgen.org/pymatgen.entries.html#pymatgen.entries.computed_entries.ComputedStructureEntry">ComputedStructureEntry</a> objects used to parameterize an embedded cluster expansion in the paper <a title="Persistent link using digital object identifier" href="https://doi.org/10.1016/j.actamat.2025.121752" target="_blank" rel="noreferrer noopener"><span><span>https://doi.org/10.1016/j.actamat.2025.121752</span></span></a>;. We used this model to predict finite-temperature vacancy concentrations in 9-component refractory alloys (Ti-Zr-Hf-V-Nb-Ta-Cr-Mo-W). The symmetrically distinct orderings of group 5 and 6 elements in small cells correspond to calculations reported in <a href="https://doi.org/10.1038/s41524-025-01543-3">https://doi.org/10.1038/s41524-025-01543-3</a>. </p>;