{"id":7875,"date":"2016-05-20T10:00:13","date_gmt":"2016-05-20T10:00:13","guid":{"rendered":"http:\/\/vps468643.ovh.net.s216418.gridserver.com\/?p=7875"},"modified":"2016-05-23T09:11:14","modified_gmt":"2016-05-23T09:11:14","slug":"emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions","status":"publish","type":"post","link":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/","title":{"rendered":"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions"},"content":{"rendered":"

M.\u2009S. Senn, D.\u2009A. Keen, T.\u2009C.\u2009A. Lucas, J.\u2009A. Hriljac, and A.\u2009L. Goodwin, Phys. Rev. Lett. 116 (2016), 207602.<\/p>\n

By using a symmetry motivated basis to evaluate local distortions against pair distribution function data (PDF), we show without prior bias, that the off-centre Ti displacements in the archetypal ferroelectric BaTiO3 are zone centred and rhombohedral-like in nature across its known ferroelectric and paraelectric phases. With our newly-gained insight we construct a simple Monte Carlo (MC) model which captures our main experimental findings and demonstrate how the rich crystallographic phase diagram of BaTiO3 emerges from correlations of local symmetry-breaking distortions alone. Our results strongly support the order-disorder picture for these phase transitions, but can also be reconciled with the soft-mode theory of BaTiO3 that is supported by some spectroscopic techniques.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"

M.\u2009S. Senn, D.\u2009A. Keen, T.\u2009C.\u2009A. Lucas, J.\u2009A. Hriljac, and A.\u2009L. Goodwin, Phys. Rev. Lett. 116 (2016), 207602. By using a symmetry motivated basis to evaluate local distortions against pair distribution
Read more<\/a><\/p>\n","protected":false},"author":2,"featured_media":8220,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":"","_links_to":"","_links_to_target":""},"categories":[3,64],"tags":[],"acf":[],"yoast_head":"\nEmergence of long-range order in BaTiO3 from local symmetry-breaking distortions - SENN GROUP<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions - SENN GROUP\" \/>\n<meta property=\"og:description\" content=\"M.\u2009S. Senn, D.\u2009A. Keen, T.\u2009C.\u2009A. Lucas, J.\u2009A. Hriljac, and A.\u2009L. Goodwin, Phys. Rev. Lett. 116 (2016), 207602. By using a symmetry motivated basis to evaluate local distortions against pair distributionRead more\" \/>\n<meta property=\"og:url\" content=\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/\" \/>\n<meta property=\"og:site_name\" content=\"SENN GROUP\" \/>\n<meta property=\"article:published_time\" content=\"2016-05-20T10:00:13+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2016-05-23T09:11:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1245\" \/>\n\t<meta property=\"og:image:height\" content=\"586\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Mark\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Mark\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/\"},\"author\":{\"name\":\"Mark\",\"@id\":\"https:\/\/senngroup.com\/#\/schema\/person\/56efbdd98406e419d0c1fb8d15561eda\"},\"headline\":\"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions\",\"datePublished\":\"2016-05-20T10:00:13+00:00\",\"dateModified\":\"2016-05-23T09:11:14+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/\"},\"wordCount\":140,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/senngroup.com\/#organization\"},\"image\":{\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png\",\"articleSection\":[\"News\",\"Publications\"],\"inLanguage\":\"en-US\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/\",\"url\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/\",\"name\":\"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions - SENN GROUP\",\"isPartOf\":{\"@id\":\"https:\/\/senngroup.com\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png\",\"datePublished\":\"2016-05-20T10:00:13+00:00\",\"dateModified\":\"2016-05-23T09:11:14+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#primaryimage\",\"url\":\"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png\",\"contentUrl\":\"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png\",\"width\":1245,\"height\":586},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/senngroup.com\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/senngroup.com\/#website\",\"url\":\"https:\/\/senngroup.com\/\",\"name\":\"SENN GROUP\",\"description\":\"Symmetry, Solid State, Phase Transitions and their Relationship to Physical Properties\",\"publisher\":{\"@id\":\"https:\/\/senngroup.com\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/senngroup.com\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/senngroup.com\/#organization\",\"name\":\"Senn Group\",\"url\":\"https:\/\/senngroup.com\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/senngroup.com\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/senngroup.com\/wp-content\/uploads\/2019\/10\/senn-group-icon.jpg\",\"contentUrl\":\"https:\/\/senngroup.com\/wp-content\/uploads\/2019\/10\/senn-group-icon.jpg\",\"width\":1024,\"height\":622,\"caption\":\"Senn Group\"},\"image\":{\"@id\":\"https:\/\/senngroup.com\/#\/schema\/logo\/image\/\"}},{\"@type\":\"Person\",\"@id\":\"https:\/\/senngroup.com\/#\/schema\/person\/56efbdd98406e419d0c1fb8d15561eda\",\"name\":\"Mark\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/senngroup.com\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/c0b41d61e87dcec57632ef4f1f376c1d?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/c0b41d61e87dcec57632ef4f1f376c1d?s=96&d=mm&r=g\",\"caption\":\"Mark\"},\"description\":\"Principal Investigator\",\"sameAs\":[\"https:\/\/senngroup.com\"],\"url\":\"https:\/\/senngroup.com\/author\/dr-mark-senn\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions - SENN GROUP","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/","og_locale":"en_US","og_type":"article","og_title":"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions - SENN GROUP","og_description":"M.\u2009S. Senn, D.\u2009A. Keen, T.\u2009C.\u2009A. Lucas, J.\u2009A. Hriljac, and A.\u2009L. Goodwin, Phys. Rev. Lett. 116 (2016), 207602. By using a symmetry motivated basis to evaluate local distortions against pair distributionRead more","og_url":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/","og_site_name":"SENN GROUP","article_published_time":"2016-05-20T10:00:13+00:00","article_modified_time":"2016-05-23T09:11:14+00:00","og_image":[{"width":1245,"height":586,"url":"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png","type":"image\/png"}],"author":"Mark","twitter_card":"summary_large_image","twitter_misc":{"Written by":"Mark","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#article","isPartOf":{"@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/"},"author":{"name":"Mark","@id":"https:\/\/senngroup.com\/#\/schema\/person\/56efbdd98406e419d0c1fb8d15561eda"},"headline":"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions","datePublished":"2016-05-20T10:00:13+00:00","dateModified":"2016-05-23T09:11:14+00:00","mainEntityOfPage":{"@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/"},"wordCount":140,"commentCount":0,"publisher":{"@id":"https:\/\/senngroup.com\/#organization"},"image":{"@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#primaryimage"},"thumbnailUrl":"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png","articleSection":["News","Publications"],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/","url":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/","name":"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions - SENN GROUP","isPartOf":{"@id":"https:\/\/senngroup.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#primaryimage"},"image":{"@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#primaryimage"},"thumbnailUrl":"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png","datePublished":"2016-05-20T10:00:13+00:00","dateModified":"2016-05-23T09:11:14+00:00","breadcrumb":{"@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#primaryimage","url":"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png","contentUrl":"https:\/\/senngroup.com\/wp-content\/uploads\/2016\/05\/BaTiO_PRL_front_cover2.png","width":1245,"height":586},{"@type":"BreadcrumbList","@id":"https:\/\/senngroup.com\/emergence-of-long-range-order-in-batio3-from-local-symmetry-breaking-distortions\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/senngroup.com\/"},{"@type":"ListItem","position":2,"name":"Emergence of long-range order in BaTiO3 from local symmetry-breaking distortions"}]},{"@type":"WebSite","@id":"https:\/\/senngroup.com\/#website","url":"https:\/\/senngroup.com\/","name":"SENN GROUP","description":"Symmetry, Solid State, Phase Transitions and their Relationship to Physical Properties","publisher":{"@id":"https:\/\/senngroup.com\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/senngroup.com\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/senngroup.com\/#organization","name":"Senn Group","url":"https:\/\/senngroup.com\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/senngroup.com\/#\/schema\/logo\/image\/","url":"https:\/\/senngroup.com\/wp-content\/uploads\/2019\/10\/senn-group-icon.jpg","contentUrl":"https:\/\/senngroup.com\/wp-content\/uploads\/2019\/10\/senn-group-icon.jpg","width":1024,"height":622,"caption":"Senn Group"},"image":{"@id":"https:\/\/senngroup.com\/#\/schema\/logo\/image\/"}},{"@type":"Person","@id":"https:\/\/senngroup.com\/#\/schema\/person\/56efbdd98406e419d0c1fb8d15561eda","name":"Mark","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/senngroup.com\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/c0b41d61e87dcec57632ef4f1f376c1d?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/c0b41d61e87dcec57632ef4f1f376c1d?s=96&d=mm&r=g","caption":"Mark"},"description":"Principal Investigator","sameAs":["https:\/\/senngroup.com"],"url":"https:\/\/senngroup.com\/author\/dr-mark-senn\/"}]}},"_links":{"self":[{"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/posts\/7875"}],"collection":[{"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/comments?post=7875"}],"version-history":[{"count":0,"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/posts\/7875\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/media\/8220"}],"wp:attachment":[{"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/media?parent=7875"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/categories?post=7875"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/senngroup.com\/wp-json\/wp\/v2\/tags?post=7875"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}