[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-657508-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-657508-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","tanabe-sugano-diagram-d2-system-study-notes","Tanabe-Sugano Diagram - d2 System - Study Notes","","Tanabe–Sugano diagrams for d2 and related electron configurations are introduced as an interpretation tool for electronic spectra under weak to strong ligand fields. The notes explain how energy levels vary with Δo relative to the ground state, why low-spin terms are included, and how normalization using E/B versus Δo/B helps compare different metal ions. Worked examples for a V(H2O)6^3+ complex estimate band positions, assign transitions between term symbols, and derive parameters such as Δo, B′, and β by comparing calculated and observed transitions. A short comparison with Orgel diagrams clarifies differences in spin and field strength treatment.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/tanabe-sugano-diagram-d2-system-study-notes/657508/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/tanabe-sugano-diagram-d2-system-study-notes/657508.png","ImageObject",300,407,{"name":42,"@type":43},"Liam","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-27","2026-10-26",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the key difference between Orgel and Tanabe–Sugano diagrams?","Question",{"text":62,"@type":63},"Orgel diagrams are typically used for weak-field interpretation, while Tanabe–Sugano diagrams cover weak-to-strong field behavior. Tanabe–Sugano diagrams also plot energy using E/B versus Δo/B and include both spin-allowed and spin-forbidden terms depending on the case.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Why do Tanabe–Sugano diagrams use E/B vs Δo/B instead of absolute energies?",{"text":67,"@type":63},"Using E/B versus Δo/B normalizes the spectrum so diagrams can be applied across different metal ions that share the same electronic configuration but have different B values and ligand field strengths.",{"name":69,"@type":60,"acceptedAnswer":70},"In the d2 example for V(H2O)6^3+, how are the two absorption bands assigned?",{"text":71,"@type":63},"The lower-energy band is associated with transitions such as 3T1g(F) to 3T2g(F), and the higher-energy band is estimated for transitions involving 3T1g(F) to 3A2g(F). The rough strong-field estimate is then checked against observed band positions to adjust B′.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},657508,1793091614,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":26,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":139,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":107},8796095461564,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","M.Sc Chemistry Inorganic Chemistry Semester-II  \nCourse Title: Chemistry of d and f block elements  \nCourse Code: 201-B  \nDr. Sriparna Dutta Inorganic Group III and IV  \nREFERENCE BOOKS:  \n1. Electronic Spectra of Transition Metal Complexes by D. Sutton  \n2. Introduction to Ligand Field Theory: Figgis  \n3. Concise Inorganic Chemistry by J. D. Lee  \n\n| \u003Cbr>Tanabe Sugano Diagram |\n| --- |\n| Though it is possible to add low-spin states to an Orgel Diagram, Tanabe Sugano diagrams are commonly used instead for interpretation of spectra including both weak and strong fields.\u003Cbr>Tanabe Sugano diagrams are similar to Orgel diagrams in that they show how energy levels change with Δo, but they differ in several ways:\u003Cbr>\u003Cbr>1.\u003Cbr>• Ground State is taken as the abscissa and provides a constant reference point. The other energy states are plotted relative to this.\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>2.\u003Cbr>• Low spin terms i.e. states where the spin multiplicity is lower than ground state are included.\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>3.\u003Cbr>• In order to make the diagrams general for different metal ions with same electronic configuration and to allow for different ligands energy/B is plotted against Δo/B\u003Cbr>|\n\n\n|  |\n| --- |\n| \u003Cbr>\u003Cbr>Difference between Orgel and Tanabe-Sugano\u003Cbr>Diagrams |\n| Sl. No ORGEL TANABE-SUGANO 1 Weak Field Weak-Strong Field 2 Spin Allowed Spin allowed and forbidden 3 E v/s CFS E/B vs Δo/B |\n\n\n| \u003Cbr>Tanabe Sugano Diagram for d2 system |  |  |  |  |\n| --- | --- | --- | --- | --- |\n| [V(H2 O)6 ]3+ Green and 2 bands: 17100 cm-1and 25200 cm-1\u003Cbr>d 2 configuration: 3 F, 3 P, 1 D, 1 G, 1 S\u003Cbr>3 F\u003Cbr>3 P\u003Cbr>A2g T2g (F)\u003Cbr>T 1g (F)\u003Cbr>T 1g (P)\u003Cbr>| \u003Cbr>Possible Arrangements are: |  |  |  |\n|  | dxy 1\u003Cbr>dxy 1\u003Cbr>dxy0 | dyz 1 dxzo\u003Cbr>dyz0 dxz 1\u003Cbr>dyz 1 dxz 1 | | \u003Cbr>T 1g (F) |\n\nWhen one electron gets promoted:  \ndxy 1 dz2 1 dyz 1 dx 2-y 21  \nd zx 1 dx 2-y 21  \nT2g (F)  \ndxy 1  \ndyz 1  \nd zx 1  \ndx 2-y 21 dz2 1 dz2 1  \nT 1g (P)  \nWhen both electrons get promoted:  \ndx 2-y 21 dz2 1  A2g (F)   \nLower energy band is assigned to transition:  \n3T 1g (F) 3T 2g (F)  \nThen a rough estimate of position of  \n3T 1g (F) 3A 2g (F) can be made because in strong  \nfield limit, these transitions are (t2g) 1 (eg)1  (t2g) 2 (E= Δo) and (eg)2  (t2g) 2 (E= 2Δo)  \nSo, if electron gets excited from T 1g (F) A 2g (=2 x Δo)  \n( =34200 cm-1)  \nBut second absorption is 25, 200 cm-1 which is much less than 34, 200 cm-1 .  \n\n| \u003Cbr>1A 1g (G)\u003Cbr>1Eg (D)\u003Cbr>1T2g (D)\u003Cbr>υ 1 υ2\u003Cbr>1T2g (G)\u003Cbr>3T2g (F)\u003Cbr>3A2g (F)\u003Cbr>3 F\u003Cbr>1 D\u003Cbr>3 P\u003Cbr>1 G\u003Cbr>1S\u003Cbr>\u003Cbr>1A 1g\u003Cbr>1 Eg\u003Cbr>1T 1g\u003Cbr>\u003Cbr>3T 1g (P)\u003Cbr>\u003Cbr>E/B\u003Cbr>\u003Cbr>υ2\u003Cbr>38.6\u003Cbr>\u003Cbr>25.8\u003Cbr>\u003Cbr>|  |  |\n| --- | --- | --- |\n| Δo/B | 27.5 | 3T 1g (F) |\n\n\n|  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- |\n|  | υ2= E[3T 1g (P)  3T 1g (F)] υ 1= E[3T2g (F)  3T 1g (F)] |  |  |  |  |\n|  | Ratio |  |  |  |  |\n|  | ~~ ~~υυ~~2~~1~~ ~~ = ~~ ~~2520017100~~ ~~ = 1.47\u003Cbr>For First Transition: E/B=25.8 |  |  |  |  |\n|  | υ2/ υ 1\u003Cbr>2\u003Cbr>1\u003Cbr>\u003Cbr>For second transition: E/B=38.6 E[3T2g(F)] = 25.8 x B = 25.8 x 860\u003Cbr>= 22188 cm-1\u003Cbr>E[T1g(P)] = 38.6 x 860 = 33196 cm-1 |  |  |  |  |\n|  |  | These values of υ1 and υ2 are higher as B we are using for free V 3+ |  |  |  |\n|  |  |  |  |  |  |\n\n\n|  |  |  |\n| --- | --- | --- |\n|  | Now to see how much υ 1 and υ 2 are\u003Cbr>varying |  |\n| First Band= Ecalculated/ E Observed = 22188/17100\u003Cbr>= 1.3\u003Cbr>Second Band= 33200/25200 =1.3\u003Cbr>We have accounted for 1.3 times higher B. B’= B/1.3 =860/3= 662 cm-1\u003Cbr>Δo/B’= 27.5 Δo = 27.5 x B’\u003Cbr>=27.5 x 662 = 18192 cm-1\u003Cbr>β = B’/ B = 662/860 = 0.77 |  |  |\n\n\n| \u003Cbr>\u003Cbr>d 3 configuration\u003Cbr>υ = 17400 cm-1, υ = 24600 cm-1, υ = 37800 cm-1 1 2 3\u003Cbr>Find Δo, B’ and β (B for Cr3+ = 918 cm-1) |  |\n| --- | --- |\n| | |","cbCaiuF1zFkV3ZEk","https://ap.wps.com/l/cbCaiuF1zFkV3ZEk","pdf",1017139,16,"English","# Tanabe-Sugano diagram basics\n## Comparison with Orgel diagrams\n# d2 system example\n## Complex and electronic terms\n## Transition assignment and energy estimates\n## Deriving B′ and β from band ratios\n# d3 configuration calculation prompt","[{\"question\":\"What is the key difference between Orgel and Tanabe–Sugano diagrams?\",\"answer\":\"Orgel diagrams are typically used for weak-field interpretation, while Tanabe–Sugano diagrams cover weak-to-strong field behavior. Tanabe–Sugano diagrams also plot energy using E/B versus Δo/B and include both spin-allowed and spin-forbidden terms depending on the case.\"},{\"question\":\"Why do Tanabe–Sugano diagrams use E/B vs Δo/B instead of absolute energies?\",\"answer\":\"Using E/B versus Δo/B normalizes the spectrum so diagrams can be applied across different metal ions that share the same electronic configuration but have different B values and ligand field strengths.\"},{\"question\":\"In the d2 example for V(H2O)6^3+, how are the two absorption bands assigned?\",\"answer\":\"The lower-energy band is associated with transitions such as 3T1g(F) to 3T2g(F), and the higher-energy band is estimated for transitions involving 3T1g(F) to 3A2g(F). The rough strong-field estimate is then checked against observed band positions to adjust B′.\"}]","Tanabe-Sugano Diagram - d2 System - Study Notes | PDF",1792981724]