{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T21:57:16Z","timestamp":1790719036510,"version":"4.1.0"},"reference-count":40,"publisher":"American Physical Society (APS)","issue":"3","license":[{"start":{"date-parts":[[2025,7,21]],"date-time":"2025-07-21T00:00:00Z","timestamp":1753056000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001671","name":"European Synchrotron Radiation Facility","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100001671","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100020909","name":"Institut Laue-Langevin","doi-asserted-by":"publisher","award":["5-24-737"],"award-info":[{"award-number":["5-24-737"]}],"id":[{"id":"10.13039\/100020909","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100011889","name":"Diamond Light Source","doi-asserted-by":"publisher","award":["CY32893-10"],"award-info":[{"award-number":["CY32893-10"]}],"id":[{"id":"10.13039\/100011889","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100011889","name":"Diamond Light Source","doi-asserted-by":"publisher","award":["CY32893-8"],"award-info":[{"award-number":["CY32893-8"]}],"id":[{"id":"10.13039\/100011889","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000741","name":"University of Warwick","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100000741","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000275","name":"Leverhulme Trust","doi-asserted-by":"publisher","award":["RPG-2022-22"],"award-info":[{"award-number":["RPG-2022-22"]}],"id":[{"id":"10.13039\/501100000275","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000288","name":"Royal Society","doi-asserted-by":"publisher","award":["UF160265"],"award-info":[{"award-number":["UF160265"]}],"id":[{"id":"10.13039\/501100000288","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100000288","name":"Royal Society","doi-asserted-by":"publisher","award":["URFR231012"],"award-info":[{"award-number":["URFR231012"]}],"id":[{"id":"10.13039\/501100000288","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. B"],"accepted":{"date-parts":[[2025,7,1]]},"abstract":"<jats:p>\n                    A detailed high-resolution, variable temperature powder diffraction study of the fluoro-perovskites\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <a:msub>\n                        <a:mi>NaFeF<\/a:mi>\n                        <a:mn>3<\/a:mn>\n                      <\/a:msub>\n                    <\/a:math>\n                    and\n                    <b:math xmlns:b=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <b:msub>\n                        <b:mi>NaCoF<\/b:mi>\n                        <b:mn>3<\/b:mn>\n                      <\/b:msub>\n                    <\/b:math>\n                    is performed to probe their orbital ordering transitions. Through analysis of the symmetry adapted macrostrains and atomic distortions, we show that\n                    <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <c:msub>\n                        <c:mi>NaFeF<\/c:mi>\n                        <c:mn>3<\/c:mn>\n                      <\/c:msub>\n                    <\/c:math>\n                    undergoes a C-type orbital order transition associated with the\n                    <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <d:msubsup>\n                        <d:mi>t<\/d:mi>\n                        <d:mrow>\n                          <d:mn>2<\/d:mn>\n                          <d:mi>g<\/d:mi>\n                        <\/d:mrow>\n                        <d:mn>4<\/d:mn>\n                      <\/d:msubsup>\n                    <\/d:math>\n                    states of\n                    <e:math xmlns:e=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <e:msup>\n                        <e:mrow>\n                          <e:mi>Fe<\/e:mi>\n                        <\/e:mrow>\n                        <e:mrow>\n                          <e:mn>2<\/e:mn>\n                          <e:mo>+<\/e:mo>\n                        <\/e:mrow>\n                      <\/e:msup>\n                    <\/e:math>\n                    . Counterintuitively, the phase transition leading to the orbital order appears second-order-like, which contradicts the thermodynamic requirements for electronic and isosymmeric phase transitions, implying that there must be an associated hidden symmetry breaking. On the other hand, for\n                    <f:math xmlns:f=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <f:msub>\n                        <f:mi>NaCoF<\/f:mi>\n                        <f:mn>3<\/f:mn>\n                      <\/f:msub>\n                    <\/f:math>\n                    , consideration of the symmetry adapted strains allows us to confidently rule out the occurrence of any long-range orbital orders down to 4\u00a0K. Since\n                    <g:math xmlns:g=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <g:msub>\n                        <g:mi>NaCoF<\/g:mi>\n                        <g:mn>3<\/g:mn>\n                      <\/g:msub>\n                    <\/g:math>\n                    is an insulator with quenched orbital angular momentum at this temperature, our findings point towards a novel kind of orbital disorder associated to the\n                    <h:math xmlns:h=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <h:msubsup>\n                        <h:mi>t<\/h:mi>\n                        <h:mrow>\n                          <h:mn>2<\/h:mn>\n                          <h:mi>g<\/h:mi>\n                        <\/h:mrow>\n                        <h:mn>5<\/h:mn>\n                      <\/h:msubsup>\n                    <\/h:math>\n                    electronic degeneracy.\n                  <\/jats:p>","DOI":"10.1103\/hk2f-pd2s","type":"journal-article","created":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T15:04:39Z","timestamp":1751382279000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":3,"title":["Signatures of orbital order and disorder in fluoroperovskites with\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                      <mml:msub>\n                        <mml:mi>t<\/mml:mi>\n                        <mml:mrow>\n                          <mml:mn>2<\/mml:mn>\n                          <mml:mi>g<\/mml:mi>\n                        <\/mml:mrow>\n                      <\/mml:msub>\n                    <\/mml:math>\n                    electronic degeneracies"],"prefix":"10.1103","volume":"112","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3806-8687","authenticated-orcid":true,"given":"C. A.","family":"Crawford","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01a77tt86","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Warwick"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2699-1725","authenticated-orcid":true,"given":"C. 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Campbell, INVARIANTS, ISOTROPY Software Suite, iso.byu.edu..","type":"other"},{"key":"hk2f-pd2sCc24R1","doi-asserted-by":"publisher","DOI":"10.1107\/S0021889803005946","type":"journal-article"},{"key":"hk2f-pd2sCc25R1","doi-asserted-by":"publisher","DOI":"10.1107\/S0021889811038970","type":"journal-article"},{"key":"hk2f-pd2sCc26R1","doi-asserted-by":"publisher","DOI":"10.1107\/S1600576723009925","type":"journal-article"},{"key":"hk2f-pd2sCc27R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/hk2f-pd2s for variable temperature CIFs, exported parameters from refinements, detail on calculations of Van Vleck distortion modes, INVARIANTS analysis and resulting parameters, critical temperature fit to extract OO temperatures, magnetometry and magnetic structure analysis of NaCoF3. The Supplemental Material also contains Refs.   [18, 23, 24, 26].","type":"other"},{"key":"hk2f-pd2sCc28R1","doi-asserted-by":"publisher","DOI":"10.1107\/S2053273318007441","type":"journal-article"},{"key":"hk2f-pd2sCc29R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1750327","type":"journal-article"},{"key":"hk2f-pd2sCc30R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.1984590","type":"journal-article"},{"key":"hk2f-pd2sCc31R1","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.matsci.28.1.1","type":"journal-article"},{"key":"hk2f-pd2sCc32R1","doi-asserted-by":"publisher","DOI":"10.1107\/S0108768195001728","type":"journal-article"},{"key":"hk2f-pd2sCc33R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.57.R3189","type":"journal-article"},{"key":"hk2f-pd2sCc34R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.95.174107","type":"journal-article"},{"key":"hk2f-pd2sCc35R1","unstructured":"A.\u00a0L. Goodwin, Orbital (dis)order: A tale of two temperatures (2017), https:\/\/goodwingroupox.uk\/etc\/project-two-xt38h.","type":"other"},{"key":"hk2f-pd2sCc36R1","doi-asserted-by":"publisher","DOI":"10.1088\/0953-8984\/17\/46\/023","type":"journal-article"},{"key":"hk2f-pd2sCc37R1","doi-asserted-by":"publisher","DOI":"10.1021\/jacs.5c00459","type":"journal-article"},{"key":"hk2f-pd2sCc38R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.108.134115","type":"journal-article"},{"key":"hk2f-pd2sCc39R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.65.174112","type":"journal-article"},{"key":"hk2f-pd2sCc40R1","doi-asserted-by":"publisher","DOI":"10.5291\/ILL-DATA.5-24-737","type":"dataset"}],"container-title":["Physical Review B"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.aps.org\/article\/10.1103\/hk2f-pd2s","content-type":"unspecified","content-version":"vor","intended-application":"syndication"},{"URL":"http:\/\/harvest.aps.org\/v2\/journals\/articles\/10.1103\/hk2f-pd2s\/fulltext","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,9,29]],"date-time":"2026-09-29T21:01:11Z","timestamp":1790715671000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.aps.org\/doi\/10.1103\/hk2f-pd2s"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,7,21]]},"references-count":40,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2025,7]]}},"URL":"https:\/\/doi.org\/10.1103\/hk2f-pd2s","relation":{"has-preprint":[{"id-type":"doi","id":"10.48550\/arXiv.2504.03410","asserted-by":"subject"}]},"ISSN":["2469-9950","2469-9969"],"issn-type":[{"value":"2469-9950","type":"print"},{"value":"2469-9969","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,7,21]]},"assertion":[{"value":"2025-04-10","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"Published by the American Physical Society. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2025","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92025 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"035150"}}