[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657129-105":59,"doc-detail-657129-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","molecular-orbital-diagrams-for-octahedral-and-related-complexes-understanding-the-bonding-in-tm-complexes","Molecular Orbital Diagrams for Octahedral and Related Complexes - Understanding the Bonding in TM Complexes","","Material summarizes molecular orbital (MO) diagrams for octahedral transition-metal (TM) complexes and explains why TM bonding understanding is important for catalyst design and electronic-structure reasoning beyond steric factors. It outlines step-by-step construction of an octahedral MO diagram from point-group determination through fragment orbitals, combination, electron counting, possible MO mixing, and a checklist for diagram completeness. It further discusses orbital origin, symmetry labeling using the Oh character table, and analysis via the octahedral splitting parameter.",{"@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/molecular-orbital-diagrams-for-octahedral-and-related-complexes-understanding-the-bonding-in-tm-complexes/657129/",{"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/molecular-orbital-diagrams-for-octahedral-and-related-complexes-understanding-the-bonding-in-tm-complexes/657129.png","ImageObject",300,407,{"name":92,"@type":93},"Malam Tenang","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","2026-10-26",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"Why is understanding bonding in TM complexes important?","Question",{"text":112,"@type":113},"TM complexes are widely used and can act as catalysts. Improving catalysts requires understanding electronic structure, not only steric factors, and magnetic properties and visible colour relate to d-orbital occupations and transitions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What are the main steps to form an MO diagram for an octahedral TM complex?",{"text":117,"@type":113},"Determine molecular shape and point group, define the axial system and symmetry operations, identify fragments, assign fragment energy levels and symmetry labels, combine same-symmetry fragment orbitals to estimate splitting, count electrons, check and handle MO mixing, then analyze the resulting diagram using the checklist and parameters.",{"name":119,"@type":110,"acceptedAnswer":120},"How are ligand and metal orbitals positioned when building the MO diagram?",{"text":121,"@type":113},"Metal fragment orbitals are added at higher energy (electropositive M), while ligand fragment orbitals are added at lower energy (electronegative L). Combining orbitals of the same symmetry yields bonding and antibonding characters and determines the extent of energy splitting.","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},657129,1793051731,{"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":81,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":139,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":41},962093532863,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Molecular Orbital Diagrams for Octahedral and Related Complexes  \nWhy is the Understanding the Bonding in TM complexes Important?  \n• octahedral complexes are the an extensive and important class for TM complexes  \n• TM complexes can be catalysts and play an important role in many industrial chemical processes. To improve a catalyst we need to understand the electronic structure and not be limited by influencing just the steric factors  \n• the magnetic properties and visible colour of many TM complexes are a result of varying occupation and transitions between the dAO dominated MOs  \nForm the MO diagram of an octahedral TM complex  \n• first let us remind ourselves of the steps for forming a MO diagram  \nForming a MO diagram  \n1. determine the molecular shape and identify the point group of the molecule  \n2. define the axial system and find all of the symmetry operations on the molecule  \n3. identify the fragments, and put them along the bottom of the diagram  \n4. determine the energy levels and symmetry labels of the fragment orbitals  \n5. combine fragment orbitals of the same symmetry, estimate the splitting energy and draw in the MO energy levels and MOs  \n6. determine the number of electrons in each fragment and hence the central region  \n7. identify if any MO mixing occurs, determine the mixed orbitals and redraw the MO diagram with shifted energy levels and the mixed MOs  \n8. use the MO diagram check-list!  \n9. analyse the MO diagram  \nSteps 1-2: Point-Group  \n• determine the molecular shape: octahedral  \n• determine the point group of the molecule: octahedral, Figure 1  \n\n| Oh | E | 8C3 | 6C2 | 6C4 | 3C2 | i | 6S4 | 8S6 | 3σh | 6σd |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| A1g | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |  |\n| A2g | 1 | 1 | -1 | -1 | 1 | 1 | -1 | 1 | 1 | -1 |  |\n| Eg | 2 | -1 | 0 | 0 | 2 | 2 | 0 | -1 | 2 | 0 |  |\n| T1g | 3 | 0 | -1 | 1 | -1 | 3 | 1 | 0 | -1 | -1 |  |\n| T2g | 3 | 0 | 1 | -1 | -1 | 3 | -1 | 0 | -1 | 1 |  |\n| A1u | 1 | 1 | 1 | 1 | 1 | -1 | -1 | -1 | -1 | -1 |  |\n| A2u | 1 | 1 | -1 | -1 | 1 | -1 | 1 | -1 | -1 | 1 |  |\n| Eu | 2 | -1 | 0 | 0 | 2 | -2 | 0 | 1 | -2 | 0 |  |\n| T1u | 3 | 0 | -1 | 1 | -1 | -3 | -1 | 0 | 1 | 1 |  |\n| T2u | 3 | 0 | 1 | -1 | -1 | -3 | 1 | 0 | 1 | -1 |  |\n\nh=48 (x2+y2+z2)  \n(2z2-x2-y2 , x2-y2)  \n(xy , xz , yz)  \n(Tx, Ty ,Tx)  \nFigure 1 Oh character table  \nHunt / Lecture 6 1  \n• define the axial system: Figure 2  \n• and be aware of all the symmetry operations of the point group  \nSteps 3-4: The Fragment Orbitals  \nz  \nLL    LM  \n y L   L x  \nL  \nFigure 2 coordinate system  \n• determine the fragments: we will use L6 for the ligands and a central M atom  \nFigure 3  \nFigure 3 Fragments for the MO diagram  \nIMPORTANT  \n• determine the energy levels and symmetry labels of the fragments we covered  \nthese last lecture:  \nothe metal orbitals for the 3d TMs are shown in Figure 4, symmetries are easily read off the character table  \nofor the ligand orbitals we use the symmetry adapted “sigma” orbitals shown in Figure 5. Symmetries and energy ordering are determined by examining the orbital phase pattern.  \n4p t1u ~~ ~~~~ ~~  \n4s a1g~~ ~~~~ ~~  \n3d eg t2 g  Figure 4 Metal FO energies and symmetry  \nfor the Oh point group  \nFigure 5 Ligand FO energies and symmetry adapted FOs for the Oh point group  \nHunt / Lecture 6 2  \nIMPORTANT  \nStep 5: Set up the MO Diagram and Combine the FOs  \n• setup the MO diagram by presenting the FO information, Figure 6 o draw the fragments  \no add the TM FOs higher in energy (electropositive M)  \no add the ligand FOs lower in energy (electronegative E)  \n• combine fragment orbitals of the same symmetry, estimate bonding and antibonding character and hence the extent of energy splitting  \nothe ENERGY level diagram for ML6 is shown in Figure 6, you need tobe able to generate this diagram  \nothe associated MOs are pictured separately in Figure 7  \no overall , the interaction of these orbitals involves d-s overlap which","cbCaipYunfACLVJL","https://ap.wps.com/l/cbCaipYunfACLVJL","pdf",2331218,12,"English","# Molecular Orbital Diagrams for Octahedral and Related Complexes\n## Why Understanding Bonding in TM Complexes Matters\n## Steps for Forming an MO Diagram\n## Point-Group: Oh Symmetry\n## Fragment Orbitals and Symmetry Labels\n## Combining Fragment Orbitals to Build the MO Diagram\n## Electronic Configuration and Electron Count\n## MO Mixing and Checklist\n## Step 9 Analysis: Octahedral Splitting Parameter","[{\"question\":\"Why is understanding bonding in TM complexes important?\",\"answer\":\"TM complexes are widely used and can act as catalysts. Improving catalysts requires understanding electronic structure, not only steric factors, and magnetic properties and visible colour relate to d-orbital occupations and transitions.\"},{\"question\":\"What are the main steps to form an MO diagram for an octahedral TM complex?\",\"answer\":\"Determine molecular shape and point group, define the axial system and symmetry operations, identify fragments, assign fragment energy levels and symmetry labels, combine same-symmetry fragment orbitals to estimate splitting, count electrons, check and handle MO mixing, then analyze the resulting diagram using the checklist and parameters.\"},{\"question\":\"How are ligand and metal orbitals positioned when building the MO diagram?\",\"answer\":\"Metal fragment orbitals are added at higher energy (electropositive M), while ligand fragment orbitals are added at lower energy (electronegative L). Combining orbitals of the same symmetry yields bonding and antibonding characters and determines the extent of energy splitting.\"}]","Molecular Orbital Diagrams for Octahedral and Related Complexes - Understanding the Bonding in TM Complexes | PDF",1792974536]