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To extend this approach to the time domain, we incorporate non-equilibrium charge-carrier distributions obtained from real-time, time-dependent density-functional theory. Generalizing the RIXS implementation with respect to arbitrary polarizations allows us to consider different orientations of incoming and outgoing light. We demonstrate our method\u2019s capabilities by studying RIXS at the K-edge of graphite for various non-equilibrium charge-carrier distributions, representing different delay times after optical pumping. Our results reveal angular dependencies in \u03c0- and \u03c3-orbital-derived spectral regions, in good agreement with the experiment.<\/jats:p>","DOI":"10.1063\/5.0347858","type":"journal-article","created":{"date-parts":[[2026,10,21]],"date-time":"2026-10-21T12:08:09Z","timestamp":1792584489000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["First-principles description of pumped inelastic x-ray scattering: Example of K-edge RIXS in graphite"],"prefix":"10.1063","volume":"165","author":[{"ORCID":"https:\/\/orcid.org\/0009-0008-2773-1248","authenticated-orcid":false,"given":"Elias","family":"Richter","sequence":"first","affiliation":[{"name":"Department of Physics and CSMB, Humboldt-Universit\u00e4t zu Berlin 1 , Berlin,","place":["Germany"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9152-7390","authenticated-orcid":false,"given":"Benedikt","family":"Maurer","sequence":"additional","affiliation":[{"name":"Department of Physics and CSMB, Humboldt-Universit\u00e4t zu Berlin 1 , Berlin,","place":["Germany"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3523-6657","authenticated-orcid":false,"given":"Claudia","family":"Draxl","sequence":"additional","affiliation":[{"name":"Department of Physics and CSMB, Humboldt-Universit\u00e4t zu Berlin 1 , Berlin,","place":["Germany"]},{"name":"Department of Physics, CSMB, and European Theoretical Spectroscopy Facility (ETSF) 2 , Humboldt-Universit\u00e4t zu Berlin, Berlin, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,10,21]]},"reference":[{"key":"2026102108080139800_c1","doi-asserted-by":"publisher","first-page":"705","DOI":"10.1103\/RevModPhys.83.705","volume":"83","year":"2011","journal-title":"Rev. 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