[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-656906-105":59,"doc-detail-656906-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","sf6-molecular-orbitals-degeneracy-and-symmetry-of-d-and-f-orbitals","SF6 Molecular Orbitals - Degeneracy and Symmetry of d and F Orbitals","","SF6 molecular orbital formation is analyzed by focusing on orbital symmetry, degeneracy, and how interaction with six fluorine atoms changes sulfur d-orbital energies. The sulfur p orbitals and d orbitals start as degenerate sets based on symmetry. Upon bonding, the d orbitals split into t2g and eg groups. The fluorine p-orbital symmetry (π vs σ) determines which sulfur orbitals can overlap, yielding specific linear group orbitals (LGOs) and assigning t1u and a1g characters while highlighting the t2g π-type interactions within defined coordinate planes.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":30,"@type":76,"position":81},"https://docshare.wps.com/document/technology/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/sf6-molecular-orbitals-degeneracy-and-symmetry-of-d-and-f-orbitals/656906/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/sf6-molecular-orbitals-degeneracy-and-symmetry-of-d-and-f-orbitals/656906.png","ImageObject",300,407,{"name":92,"@type":93},"MrHarris58","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-25",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Why are the sulfur d orbitals initially degenerate in SF6?","Question",{"text":112,"@type":113},"Because they can be interconverted by symmetry operations, indicating an underlying symmetry element that makes their energies equal.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How does interaction with the six fluorines change the sulfur d-orbital energies?",{"text":117,"@type":113},"The sulfur d orbitals are no longer equivalent; they split into a three-orbital set (t2g) and a two-orbital set (eg).",{"name":119,"@type":110,"acceptedAnswer":120},"Which fluorine orbitals interact with specific sulfur d orbitals in π-type overlap?",{"text":121,"@type":113},"The sulfur dxy interacts with fluorines along the x- and y-axes, while dxz interacts with fluorines along the x- and z-axes, and dyz interacts with fluorines along the y- and z-axes.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},656906,1793146380,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":29,"category_name":30,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":24,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":52,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":144},687212988360,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","First let’s consider the sulfur orbitals  \n• we need to consider their symmetry  \nz   \nF y  \nFF ~~ ~~~~ ~~ S ~~ ~~~~ ~~F x  F   \nF  \nThe fluorines lie along the axes  \n• and, we need to consider their energy  \nz  \ns  \nF  \nF  \nF  \nF  \n(pz, px, py)  \ny F  \nF  \nx  \nz   \nlies along  \nthe axes F y  FFSF  x   \nF    \nF (dz2, dx2–y2)  \nz lies between the axes  \nFF  \nF  \nS  \nF  \nd xy  \ny F  \nF  \nx  \nz   \nF  \ndxz  \ny  \nF  \nF  \nS  \nF  \nF  \nF  \nF  \n(dxz, dyz , dxy )= degenerate since they can be interconverted by symmetry operations (C4)  \nThe d–orbitals  \n point along the axes  \npoint between the axes  \nFor orbitals to possess the same energy (ie, be degenerate), there has to be a symmetry element which interconverts them  \nTherefore, E(pz) = E(py)= E(px)  \nF  \nz   \npx  \nF y    F  \n x  \nF S   FF F  \ndxy  \ndxz  \nTherefore, E(dxz) = E(dyz)  \nie, they are degenerate  \ndyz  \nWhat symmetry do these orbitals have?  \nthe central atom’s atomic orbitals  \ndoubly degenerate  \nSulfur s-orbital  \nSulfur d-orbitals (σ)  \ntriply degenerate  \nSulfur  \nSulfur d-orbitals  \n(π-type)  \np-orbitals  \ntriply degenerate  \n(originally all five d-orbitals were degenerate)  \nnotice how the degeneracy of the sulfur’s d–orbitals is “lifted” upon interaction with the six F’s  \nWhat about the relative energies of these orbitals? Most importantly, how does their energy compare with the fluorine orbitals?  \nUpon interaction with the F’s, the d–  \norbitals will no longer be equivalent, but  \ndivide up into one set of three (t2g), and  \n 3dx dy dx dz dx2–y2 another set of two (eg)  \nt2g eg  \n3pz px py  \nt1u  \n 3s   \na1g  \n• What about the symmetry of the fluorine AO’s?  \n• How do the AOs combine to form LGO’s in this molecule?  \nSulfur AO’s (atomic orbitals)  2pz px py   \nFluorine’s AO’s  \ntoo low in E to  \ninteract with the   2s   \nsulfur orbitals  \na1g  \neg  \nt1u  \noverlaps with the sulfur’s  \ns antibonding MO  is pictured here  \nLGO(1)  \nThe Fluorine LGO’s  \n(σ–bonding only)  \npy  \nLGO(4)  \nLGO’s are contained in the appendices of numerous text books    \nShown here is an abbreviation for the orbitals involved in bonding on the terminal atoms  \nin the more specific case of SF6, these  \ncoordinate system for sulfur orbitals  \nz   \nF y  \nF  \n  x F ~~ ~~ S F F   \nF  \nthus the F px and py–orbitals would have π–symmetry  \nin contrast to the  \nfluorine pz which  \nx y  \n point along the axes  \nz  F  x F SFFy  \nF  z  \nF coordinate system for fluorine orbitals  \nF  \nF S  \nF  \nF  \nF  \nF  \nfluorine px and py–orbitals are perpendicular to the S– F axis……& therefore π in character  \nSF6 MOs  \nt1u Fluorine LGOs  \na1g  \nF  \nF SF  \nF  \nWhich sulfur orbitals do the fluorine px and py–orbitals interact with?  \nd  \nThe  \nd  \nx2-y2 and  \nxy  \norbitals are  \northogonal  \nThe py & dxy orbitals are configured for π– overlap  \nπ–type orbitals  \nan LGO with  \nt  \n2g symmetry  \nz  \nx  \ndxz  \nF  \nThe sulfur dxz only interacts with fluorinesthat lie along the x– and z–axes  \nd  \nyz  \nanother LGO with  \nt  \n2g symmetry lies in the yz plane  \nz  \ny  \nThe sulfur dyz only interacts with fluorinesthat lie along the y– and z–axes  \ny  \na third LGO with  \nt  \n2g symmetry lies in the xy plane  \nF  \nThe sulfur dxy only interacts with fluorines that lie along the x– and y–axes","cbCainCMnPDwjPxR","https://ap.wps.com/l/cbCainCMnPDwjPxR","pdf",1563758,"English","# Sulfur orbital symmetry and degeneracy\n## Degeneracy conditions for orbitals\n## Energy splitting into t2g and eg\n# Fluorine AO symmetry and LGO combinations\n## Fluorine p orbitals: π vs σ character\n## Which sulfur orbitals overlap with fluorine px and py\n## Resulting t2g π-type LGOs in coordinate planes","[{\"question\":\"Why are the sulfur d orbitals initially degenerate in SF6?\",\"answer\":\"Because they can be interconverted by symmetry operations, indicating an underlying symmetry element that makes their energies equal.\"},{\"question\":\"How does interaction with the six fluorines change the sulfur d-orbital energies?\",\"answer\":\"The sulfur d orbitals are no longer equivalent; they split into a three-orbital set (t2g) and a two-orbital set (eg).\"},{\"question\":\"Which fluorine orbitals interact with specific sulfur d orbitals in π-type overlap?\",\"answer\":\"The sulfur dxy interacts with fluorines along the x- and y-axes, while dxz interacts with fluorines along the x- and z-axes, and dyz interacts with fluorines along the y- and z-axes.\"}]","SF6 Molecular Orbitals - Degeneracy and Symmetry of d and F Orbitals | PDF",1792971375,25]