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On the basis of density-functional computations, the electronic ground state of an Mo<jats:sub>4<\/jats:sub><jats:sup>13+<\/jats:sup> tetrahedron has been postulated as single-configuration <jats:italic>a<\/jats:italic><jats:sub>1<\/jats:sub><jats:sup>2<\/jats:sup>\u00a0<jats:italic>e<\/jats:italic><jats:sup>4<\/jats:sup>\u00a0<jats:italic>t<\/jats:italic><jats:sub>2<\/jats:sub><jats:sup>5<\/jats:sup>, where <jats:italic>a<\/jats:italic><jats:sub>1<\/jats:sub>, <jats:italic>e<\/jats:italic>, and <jats:italic>t<\/jats:italic><jats:sub>2<\/jats:sub> are symmetry-adapted linear combinations of single-site Mo <jats:italic>t<\/jats:italic><jats:sub>2g<\/jats:sub> atomic orbitals. Here we unveil the many-body tetramer wave-function: we show that sizable correlations yield a weight of only 62% for the <jats:italic>a<\/jats:italic><jats:sub>1<\/jats:sub><jats:sup>2<\/jats:sup>\u00a0<jats:italic>e<\/jats:italic><jats:sup>4<\/jats:sup>\u00a0<jats:italic>t<\/jats:italic><jats:sub>2<\/jats:sub><jats:sup>5<\/jats:sup> configuration. While spin\u2013orbit coupling within the peculiar valence orbital manifold is still effective, the expectation value of the spin\u2013orbit operator and the <jats:italic>g<\/jats:italic> factors deviate from figures describing nominal <jats:italic>t<\/jats:italic><jats:sup>5<\/jats:sup><jats:italic>j<\/jats:italic><jats:sub>eff<\/jats:sub>\u2009=\u20091\/2 moments. As such, our data documents the dressing of a spin\u2013orbit <jats:italic>j<\/jats:italic><jats:sub>eff<\/jats:sub>\u2009=\u20091\/2 object with intra-tetramer excitations. Our results on the internal degrees of freedom of these magnetic moments provide a solid theoretical starting point in addressing the intriguing phase transitions observed at low temperatures in these materials.<\/jats:p>","DOI":"10.1038\/s41598-023-28656-3","type":"journal-article","created":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T10:13:52Z","timestamp":1676024032000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Dressed jeff-1\/2 objects in mixed-valence lacunar spinel molybdates"],"prefix":"10.1038","volume":"13","author":[{"given":"Thorben","family":"Petersen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lilian","family":"Prodan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Korbinian","family":"Geirhos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hiroyuki","family":"Nakamura","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Istv\u00e1n","family":"K\u00e9zsm\u00e1rki","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liviu","family":"Hozoi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,2,10]]},"reference":[{"key":"28656_CR1","doi-asserted-by":"publisher","first-page":"2877","DOI":"10.1021\/acs.chemmater.2c00275","volume":"24","author":"JP Attfield","year":"2022","unstructured":"Attfield, J. 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