[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-1-en-105":3,"doc-seo-566559-105":53,"doc-detail-566559-en":127},{"code":4,"msg":5,"data":6},0,"success",[7,14,19,24,29,34,39,44,49],{"id":8,"doc_module":9,"doc_module_name":10,"category_name":11,"show_sort_weight":12,"slug":13},11,1,"Template","Presentations",90,"presentations",{"id":15,"doc_module":9,"doc_module_name":10,"category_name":16,"show_sort_weight":17,"slug":18},12,"Resumes",80,"resumes",{"id":20,"doc_module":9,"doc_module_name":10,"category_name":21,"show_sort_weight":22,"slug":23},14,"Invoices",70,"invoices",{"id":25,"doc_module":9,"doc_module_name":10,"category_name":26,"show_sort_weight":27,"slug":28},15,"Posters",60,"posters",{"id":30,"doc_module":9,"doc_module_name":10,"category_name":31,"show_sort_weight":32,"slug":33},16,"Social Media",50,"social-media",{"id":35,"doc_module":9,"doc_module_name":10,"category_name":36,"show_sort_weight":37,"slug":38},17,"Forms",40,"forms",{"id":40,"doc_module":9,"doc_module_name":10,"category_name":41,"show_sort_weight":42,"slug":43},18,"Letters",30,"letters",{"id":45,"doc_module":9,"doc_module_name":10,"category_name":46,"show_sort_weight":47,"slug":48},21,"Paper Templates",5,"papers-templates",{"id":50,"doc_module":9,"doc_module_name":10,"category_name":51,"show_sort_weight":4,"slug":52},158,"General","general-158",{"code":4,"msg":54,"data":55},"ok",{"site_id":56,"language":57,"slug":58,"title":59,"keywords":60,"description":61,"schema_data":62,"social_meta":120,"head_meta":122,"extra_data":124,"updated_unix":126},105,"en","pauli-hund-and-aufbau-the-periodic-table","Pauli, Hund and Aufbau - The Periodic Table","","This educational document covers fundamental principles of atomic structure, focusing on the quantum mechanical description of electrons in atoms. It details the hydrogen atom's quantum numbers, including principal, orbital angular momentum, magnetic, and spin quantum numbers. The text explains the Aufbau principle, the Pauli Exclusion Principle, and Hund's Rule for multi-electron atoms. Furthermore, it introduces total orbital angular momentum (L) and total electron spin (S), providing examples of Lithium's ground and excited states using term symbols. The content is designed to help students understand electron configuration and atomic energy states through theoretical definitions and practical examples like the Li Grotrian Diagram.",{"@graph":63,"@context":119},[64,80,102],{"@type":65,"itemListElement":66},"BreadcrumbList",[67,71,74,77],{"item":68,"name":69,"@type":70,"position":9},"https://docshare.wps.com","Home","ListItem",{"item":72,"name":10,"@type":70,"position":73},"https://docshare.wps.com/template/",2,{"item":75,"name":51,"@type":70,"position":76},"https://docshare.wps.com/template/general/",3,{"item":78,"name":59,"@type":70,"position":79},"https://docshare.wps.com/template/pauli-hund-and-aufbau-the-periodic-table/566559/",4,{"url":78,"name":59,"@type":81,"image":82,"author":87,"headline":59,"publisher":90,"fileFormat":93,"inLanguage":57,"description":61,"dateModified":94,"datePublished":95,"encodingFormat":93,"isAccessibleForFree":96,"interactionStatistic":97},"DigitalDocument",{"url":83,"@type":84,"width":85,"height":86},"https://docshare.wps.com/thumbnails/pauli-hund-and-aufbau-the-periodic-table/566559.png","ImageObject",442,249,{"name":88,"@type":89},"Damian","Person",{"url":68,"name":91,"@type":92},"DocShare","Organization","application/pdf","2026-10-27","2026-10-13",true,{"@type":98,"interactionType":99,"userInteractionCount":101},"InteractionCounter",{"@type":100},"ViewAction",9,{"@type":103,"mainEntity":104},"FAQPage",[105,111,115],{"name":106,"@type":107,"acceptedAnswer":108},"What are the four quantum numbers that describe an electron in a hydrogen atom?","Question",{"text":109,"@type":110},"The four quantum numbers are the principal quantum number (n), the orbital angular momentum quantum number (l), the magnetic quantum number (ml), and the spin magnetic quantum number (ms).","Answer",{"name":112,"@type":107,"acceptedAnswer":113},"What does the Aufbau principle state?",{"text":114,"@type":110},"The Aufbau principle dictates that atomic orbitals should be filled with electrons starting from the lowest energy states and progressing to higher energy states.",{"name":116,"@type":107,"acceptedAnswer":117},"How is the total electron spin (S) determined for multi-electron atoms?",{"text":118,"@type":110},"In multi-electron atoms, S is calculated as N/2, where N represents the total number of unpaired electron spins.","https://schema.org",{"og:url":78,"og:type":121,"og:title":59,"og:site_name":91,"og:description":61},"article",{"robots":123,"canonical":78},"index,follow",{"doc_id":125,"site_id":56},566559,1792007612,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":88,"user_avatar":130,"doc_module":9,"category_id":50,"category_name":51,"doc_title":59,"doc_description":61,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":101,"is_deleted":4,"is_public":9,"is_downloadable":9,"audit_status":9,"page_count":136,"language":137,"language_code":57,"site_id":56,"html_lang":57,"table_of_contents":138,"faqs":139,"seo_title":140,"seo_description":61,"update_tm":141,"read_time":142},137451208677,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Pauli, Hund and Aufbau The Periodic Table  \nHydrogen atom quantum numbers  \nn is called the principal quantum number.  \n n = 1, 2, 3....  \nl is called the orbital angular momentum quantum number.  \n l = 0, 1, 2...(n-1) = s, p, d, f...  \nml is called the magnetic quantum number.  ml = l, l-1,...-l : a total of 2l + 1; l = 0 to n-1  \nms is called the spin magnetic quantum number.  ms = 1/2, -1/2 : a total of 2s + 1; s = 1/2  \nMulti-electron atoms  \nAufbau (building-up) Principle:  \nFill the atomic orbitals with electrons starting at the lowest available energy states before filling higher states.  \n Pauli Exclusion Principle:  \nNo two electrons can have the same 4 quantum numbers.  \n Hund's Rule (one of three)  \nFor an electron shell with multiple orbitals, the term with maximum number of unpaired spins has the lowest energy.  \n There are exceptions to Aufbau principle and Hund's Rules, but not the Pauli exclusion principle  \nH-1s 1  \nHe-1s 2  \nS= 0  \nPauli exclusion principle: |1,0,0,½> and |1,0,0,-½>  \nLi - [He]2s 1  \nS= ?  \nLi - [He]2s 1  \nS= 1/2  \nMulti-electron atom quantum numbers  \nL and S  \nFor multi-electron atoms, we replace l and s with L and S, where L is the TOTAL orbital angular momentum quantum number, and S is the TOTAL electron spin quantum number. In this case, S is N/2 where N is the number of unpaired electron spins. Spectroscopists use TERM SYMBOLS to describe the angular momentum state of an atom:  \nwhere the letter corresponding to the L quantum number is used (e.g., 0,1,2…becomes S, P, D…) .  \nMulti-electron atom quantum numbers  \nL and S  \nFor example, the 1s2 2s 1 ground state of Lithium is called the \"doublet S\" state (L=0, S=1/2), and the 1s2 2p 1 excited state is called the \"doublet P\" state (L=1, S=1/2):  \nLi - [He]2s 1  \n Li - [He]2p 1  \nLi Grotrian Diagram  \nFor example, the 1s2 2s 1 ground state of Lithium is called the \"doublet S\"state (L=0, S=1/2), and the 1s2 2p 1 excited state is called the \"doublet P\"state (L=1, S=1/2):","cbCaiiCwwJmYh9cX","https://ap.wps.com/l/cbCaiiCwwJmYh9cX","pdf",2231929,36,"English","# Hydrogen Atom Quantum Numbers\n## Principles of Electron Configuration\n# Multi-Electron Atoms\n## Quantum Numbers L and S\n## Term Symbols and Atomic States","[{\"question\":\"What are the four quantum numbers that describe an electron in a hydrogen atom?\",\"answer\":\"The four quantum numbers are the principal quantum number (n), the orbital angular momentum quantum number (l), the magnetic quantum number (ml), and the spin magnetic quantum number (ms).\"},{\"question\":\"What does the Aufbau principle state?\",\"answer\":\"The Aufbau principle dictates that atomic orbitals should be filled with electrons starting from the lowest energy states and progressing to higher energy states.\"},{\"question\":\"How is the total electron spin (S) determined for multi-electron atoms?\",\"answer\":\"In multi-electron atoms, S is calculated as N/2, where N represents the total number of unpaired electron spins.\"}]","Pauli, Hund and Aufbau - The Periodic Table | PDF",1791862807,13]