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The FLOs are obtained for a set of occupied orbitals by specifying a classical position for each electron. These positions are known as Fermi-orbital descriptors (FODs), and they have a clear relation to chemical bonding. In this study, we show how FLOs and FODs can be used to initialize, interpret, and justify SIC solutions in a common chemical picture, both within FLO-SIC and in traditional variational SIC, and to locate distinct local minima in either of these approaches. We demonstrate that FLOs based on Lewis theory lead to symmetry breaking for benzene\u2014the electron density is found to break symmetry already at the symmetric molecular structure\u2014while ones from Linnett\u2019s double-quartet theory reproduce symmetric electron densities and molecular geometries. Introducing a benchmark set of 16 planar cyclic molecules, we show that using Lewis theory as the starting point\u00a0can lead to artifactual dipole moments of up to 1\u00a0D, while Linnett SIC dipole moments are in better agreement with experimental values. We suggest using the dipole moment as a diagnostic of symmetry breaking in SIC and monitoring it in all SIC calculations. We show that Linnett structures can often be seen as superpositions of Lewis structures and propose Linnett structures as a simple way to describe aromatic systems in SIC with reduced symmetry breaking. The role of hovering FODs is also briefly discussed.<\/jats:p>","DOI":"10.1063\/5.0071796","type":"journal-article","created":{"date-parts":[[2021,11,22]],"date-time":"2021-11-22T16:36:25Z","timestamp":1637598985000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":12,"title":["Chemical bonding theories as guides for self-interaction corrected solutions: Multiple local minima and symmetry breaking"],"prefix":"10.1063","volume":"155","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2214-2467","authenticated-orcid":false,"given":"Kai","family":"Trepte","sequence":"first","affiliation":[{"name":"SUNCAT Center for Interface Science and Catalysis, Stanford University 1 , Menlo Park, California 94025, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4561-0158","authenticated-orcid":false,"given":"Sebastian","family":"Schwalbe","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics, TU Bergakademie Freiberg 2 , D-09599 Freiberg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3618-0886","authenticated-orcid":false,"given":"Simon","family":"Liebing","sequence":"additional","affiliation":[{"name":"Joint\u00a0Institute for Nuclear Research Dubna, Bogoliubov Laboratory of Theoretical Physics 3 , 141980 Dubna, Russia"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4025-1790","authenticated-orcid":false,"given":"Wanja T.","family":"Schulze","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics, TU Bergakademie Freiberg 2 , D-09599 Freiberg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9351-7022","authenticated-orcid":false,"given":"Jens","family":"Kortus","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics, TU Bergakademie Freiberg 2 , D-09599 Freiberg, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2498-3841","authenticated-orcid":false,"given":"Hemanadhan","family":"Myneni","sequence":"additional","affiliation":[{"name":"Science Institute and Faculty of Physical Sciences, VR-III 4 , University of Iceland, 107 Reykjav\u00edk, Iceland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7403-3508","authenticated-orcid":false,"given":"Aleksei V.","family":"Ivanov","sequence":"additional","affiliation":[{"name":"Science Institute and Faculty of Physical Sciences, VR-III 4 , University of Iceland, 107 Reykjav\u00edk, Iceland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6296-8103","authenticated-orcid":false,"given":"Susi","family":"Lehtola","sequence":"additional","affiliation":[{"name":"Molecular Sciences Software Institute 5 , Blacksburg, Virginia 24061, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2021,12,13]]},"reference":[{"key":"2023070401023811800_c1","doi-asserted-by":"publisher","first-page":"762","DOI":"10.1021\/ja02261a002","article-title":"The atom and the molecule","volume":"38","year":"1916","journal-title":"J. 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