{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T13:14:19Z","timestamp":1788268459137,"version":"build-2803163510"},"reference-count":60,"publisher":"AIP Publishing","issue":"9","content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2026,9,7]]},"abstract":"<jats:p>We investigate range-separated hybrids (RSHs) and locally range-separated hybrids (LRSHs) for linear-response time-dependent density-functional theory (TDDFT) Sternheimer calculations of the photoionization spectrum of the Ne atom. This system constitutes a stringent test for approximate exchange-correlation treatments because it exhibits both valence and core resonances with very different energy scales. Building on a previous study employing a simple one-parameter local range-separation function, we assess here a more flexible two-parameter range-separation function designed to improve the high-density limit. We compare photoionization spectra and resonance parameters obtained with RSHs and LRSHs. We find that the LRSH approach with the two-parameter range-separation function provides an overall satisfactory description of the photoionization spectrum, including energies for both valence and core resonances. The lifetimes of the 2s \u2192 np valence resonances are also reasonably reproduced since their decay does not involve double excitations. In contrast, the lifetimes of the 1s \u2192 np core resonances are overestimated by orders of magnitude because their Auger decay channels involve double excitations that are absent in adiabatic, single-determinant TDDFT. Obtaining more accurate resonance widths within the linear-response range-separated TDDFT would require using multideterminant schemes and\/or adding a frequency-dependent response kernel.<\/jats:p>","DOI":"10.1063\/5.0346283","type":"journal-article","created":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T12:21:24Z","timestamp":1788265284000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Linear-response time-dependent density-functional theory with local range separation: Core and valence resonances of the neon atom"],"prefix":"10.1063","volume":"165","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7976-6978","authenticated-orcid":false,"given":"Jari","family":"van Gog","sequence":"first","affiliation":[{"name":"Laboratoire de Chimie Th\u00e9orique, Sorbonne Universit\u00e9 and CNRS 1 , F-75005 Paris,","place":["France"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0095-1730","authenticated-orcid":false,"given":"Felipe","family":"Zapata","sequence":"additional","affiliation":[{"name":"Departamento de Qu\u00edmica F\u00edsica, Universidad Complutense de Madrid 2 , 28040 Madrid,","place":["Spain"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2855-1835","authenticated-orcid":false,"given":"Julien","family":"Toulouse","sequence":"additional","affiliation":[{"name":"Laboratoire de Chimie Th\u00e9orique, Sorbonne Universit\u00e9 and CNRS 1 , F-75005 Paris,","place":["France"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,9,1]]},"reference":[{"key":"2026090108204326100_c1","doi-asserted-by":"publisher","first-page":"3540","DOI":"10.1063\/1.1383587","volume":"115","year":"2001","journal-title":"J.\u00a0Chem. 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