[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-657524-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-657524-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","walsh-diagram-note-for-msc-chemistry-sem-i-inorganic-chemistry","Walsh diagram - Note for M.Sc. Chemistry (sem.-I) Inorganic chemistry","","Walsh diagrams describe how total molecular energy can be estimated from orbital binding energies plotted against bond angle, enabling rapid predictions of equilibrium geometries. The note outlines Walsh angular coordinate diagrams for AB2 (and AB2L, AB2L2) systems by comparing linear versus bent conformations, using orbital symmetry and energy trends across 90° to 180°. Examples include BeH2 (linear favored) and H2O (bent favored), with explanations based on stabilization and destabilization of specific molecular orbitals upon bending.",{"@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/walsh-diagram-note-for-msc-chemistry-sem-i-inorganic-chemistry/657524/",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/walsh-diagram-note-for-msc-chemistry-sem-i-inorganic-chemistry/657524.png","ImageObject",300,407,{"name":42,"@type":43},"Maya Linwood","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-10-26",true,{"@type":52,"interactionType":53,"userInteractionCount":22},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What is the main idea behind a Walsh diagram?","Question",{"text":62,"@type":63},"Walsh diagrams plot orbital binding energies against bond angles. By summing the stabilization or destabilization of orbitals when the angle changes, the equilibrium bond angle can be predicted.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How does bending affect BeH2 according to the note?",{"text":67,"@type":63},"For BeH2, the 1b2 orbital drops in energy more strongly than the 2a1 orbital gains upon bending. Therefore, BeH2 is predicted to be linear rather than bent.",{"name":69,"@type":60,"acceptedAnswer":70},"Why is H2O bent instead of linear in Walsh-diagram terms?",{"text":71,"@type":63},"In the note’s MO explanation, the bent form stabilizes orbitals such as 3a1 (associated with π character) more effectively than the linear form, while the linear configuration is less favored overall. This leads to higher stability for the bent conformation.","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},657524,1792981960,{"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":22,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":110,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":79,"read_time":117},962084928432,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Walsh diagram (complete note)  \nNote for  \nM.Sc. Chemistry (sem.–I)  \nInorganic chemistry  \nPrepared by  \nMr. Jai Prakash (Assistant Professor)  \nP.G. department of Chemistry  \nS.P Jain College, Sasaram ( V.K.S.U, ARA) Mob no-7905770737  \nEmail [id-jaibhu.patel@gmail.com](id-jaibhu.patel@gmail.com)  \n􀂙Walsh diagram is given by A.D. Walsh (1953) .  \n􀂙In Walsh diagram ``orbital binding energies'' plotted against bond angles. The primary idea is that the total energy is the sum of all the orbital binding energies; therefore, by considering the stabilization or destabilization of all the orbital by a change in the angle, one can predict (roughly) the equilibrium bond angle for a given state of a molecule. Walsh diagrams, often called angular coordinate diagrams or correlation diagrams , are representations of calculated orbital energies of a molecule versus a distortion coordinate, used for making rapid predictions about the geometries of small molecules. By plotting the change in molecular orbital levels of a molecule as a function of geometrical change, Walsh diagrams explain why molecules are more stable in certain spatial configurations.  \n(He explain why water adopts a bent conformation.)  \n\n| Application to Triatomic Molecules\u003Cbr>The coordinate system for the AB 2 molecule is shown in given below Figure. The AB 2 molecule has C2v symmetry when it is bent but when linear it has D∞h symmetry. To simplify notations, however, the linear configuration is considered to be simply an extremum of the C2v symmetry. Therefore the labels given to the orbitals through the range 90o ≤ θ \u003C 180o are retained even when θ = 180o. The symbols used to label the orbitals are derived from the orbital symmetry properties in a systematic way, but a detailed explanation is not given here. For present purposes, these symbol may be treated simply as labels and please go to symmetry unit for details. |  |  |\n| --- | --- | --- |\n| z\u003Cbr>\u003Cbr>\u003Cbr>| y\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>|  |\n| \u003Cbr>\u003Cbr>\u003Cbr>|  | x |\n\n\n| A linear XH2 molecule belongs to the D∞h point group. A qualitative molecular orbital diagram for the formation of linear XH 2 from atom X and two H atoms is shown below. |  |  |\n| --- | --- | --- |\n| Energy | | 2p z  􀁓 u  \u003Cbr>2py 􀁓 u \u003Cbr>2px( 􀁖 u) \u003Cbr>2s( 􀁖 g ) ~~ ~~\u003Cbr>X\u003Cbr> 􀁖 *\u003Cbr>  u\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr> 􀁖 u \u003Cbr>\u003Cbr>\u003Cbr>H..........H |\n|  |  | 􀁖 g\u003Cbr>XH2 |\n\n\n| A bent XH2 molecule belongs to the C2v point group. A general qualitative molecular orbital diagram for the formation of bent XH2 from atom X and two H atoms is shown below. |  |  |  |\n| --- | --- | --- | --- |\n| Energy\u003Cbr>| ~~ ~~  a *1\u003Cbr>\u003Cbr>\u003Cbr>  b*2    \u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>x\u003Cbr>z\u003Cbr>2px( b 1 )\u003Cbr>2p z  a 1 \u003Cbr>2py b2  y\u003Cbr>2s( a 1 )\u003Cbr>X\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>H\u003Cbr>XH2\u003Cbr>X\u003Cbr>\u003Cbr>H\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>z\u003Cbr>y | |  b2  a 1 |\n|  |  | H..........H |  |\n\n􀂙It is found that an AB2 molecule (without lone pairs) is more stable when linear than when bent. The 1b2 orbital drops steadily in energy form θ = 90o to 180o ; while the energy of the 1a1 orbitals is fairly insensitive to angle. This is shown for BeH2 in next slide.  \n􀂙For an AB 2 L molecule the results are ambiguous, because the trend in the energy of the 2a1 orbital approximately offsets that of the 1b2 orbiral.  \n􀂙For AB 2 L 2 molecules, the result should be the same as for AB 2 L. Since the energy of b1 orbirtal is independent of the angle. Thus it is not clear in this approach that AB 2 L 2 molecules should necessarily be bent, but it is clear that it exist in bent form..  \n\n| Example-BeH2 molecule\u003Cbr>For BeH2 molecule walsh diagram is shown below. Electronic configuration of BeH2 in linear form is (2σg)2 ,(1σu)2 whereas in bent form it is (2a1)2 ,( 1b2)2. The energy of the 1a1 orbitals is nearly constant that fairly insensitive to angle. Consider (2σg) orbital which is constructed from atomic wavefunction that are everywhere positive and hence on bending there will be increase in overlap since the two H-atoms wave function will overlap to slightly gr","cbCaiuFbiOTPpnD8","https://ap.wps.com/l/cbCaiuFbiOTPpnD8","pdf",397964,"English","# Walsh diagram overview\n## Application to triatomic molecules (AB2)\n## XH2: linear form (D∞h) and orbital diagram\n## XH2: bent form (C2v) and orbital diagram\n## Trends: linear vs bent for AB2, AB2L, AB2L2\n## Example: BeH2\n## Example: H2O","[{\"question\":\"What is the main idea behind a Walsh diagram?\",\"answer\":\"Walsh diagrams plot orbital binding energies against bond angles. By summing the stabilization or destabilization of orbitals when the angle changes, the equilibrium bond angle can be predicted.\"},{\"question\":\"How does bending affect BeH2 according to the note?\",\"answer\":\"For BeH2, the 1b2 orbital drops in energy more strongly than the 2a1 orbital gains upon bending. Therefore, BeH2 is predicted to be linear rather than bent.\"},{\"question\":\"Why is H2O bent instead of linear in Walsh-diagram terms?\",\"answer\":\"In the note’s MO explanation, the bent form stabilizes orbitals such as 3a1 (associated with π character) more effectively than the linear form, while the linear configuration is less favored overall. This leads to higher stability for the bent conformation.\"}]","Walsh diagram - Note for M.Sc. Chemistry (sem.-I) Inorganic chemistry | PDF"]