[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-665318-105":59,"doc-detail-665318-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","primer-on-semiconductors-unit-5-lecture-52-energy-band-diagrams","Primer on Semiconductors - Unit 5 - Lecture 5.2 - Energy Band Diagrams","","This educational lecture provides a fundamental overview of energy band diagrams in semiconductor physics. It details the significance of these diagrams as essential tools for visualizing and solving the semiconductor equations. The document emphasizes the importance of understanding band diagrams, referencing Kroemer's lemma on the subject, and explores the behavior of energy bands under equilibrium and applied voltage conditions, specifically illustrating the impact of electrostatic potential on electron energy.",{"@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/primer-on-semiconductors-unit-5-lecture-52-energy-band-diagrams/665318/",{"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/primer-on-semiconductors-unit-5-lecture-52-energy-band-diagrams/665318.png","ImageObject",300,407,{"name":92,"@type":93},"Mabel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-29",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 energy band diagrams considered important in semiconductor physics?","Question",{"text":112,"@type":113},"They serve as a powerful tool for providing qualitative solutions to the semiconductor equations, making them essential for understanding device physics.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does Kroemer's lemma state regarding energy band diagrams?",{"text":117,"@type":113},"It posits that if you cannot draw an energy band diagram while discussing a semiconductor problem, it indicates a lack of understanding of the subject.",{"name":119,"@type":110,"acceptedAnswer":120},"How does applying a positive voltage affect the energy of an electron in this context?",{"text":121,"@type":113},"According to the lecture, applying a positive potential lowers the potential energy of an electron.","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},665318,1793298190,{"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":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":129,"read_time":144},7971474920318,"https://ap-avatar.wpscdn.com/avatar/74000ee537e6b0ca360?x-image-process=image/resize,m_fixed,w_180,h_180&k=1788430171632181674","Primer on Semiconductors  \nUnit 5: The Semiconductor Equations  \nLecture 5.2: Energy band diagrams  \nMark Lundstrom  \n[lundstro@purdue.edu](lundstro@purdue.edu)[ ](lundstro@purdue.edu)Electrical and Computer Engineering Purdue University West Lafayette, Indiana USA  \nSummary: The “semiconductor equations”  \nThree equations in three unknowns:  \nLundstrom: 2018 2  \nEnergy band diagrams  \nAn energy band diagram is a plot of the bottom of the conduction band and the top of the valence band vs. position.  \nEnergy band diagrams are a powerful tool for understanding semiconductor devices because they provide qualitative solutions to the semiconductor equations.  \nKroemer’s lemma of proven ignorance  \n“Whenever I teach my semiconductor device physics course, one of the central messages I try to get across early is the importance of energy band diagrams. I often put this in the form of “Kroemer’s lemma of proven ignorance:  \nIf, in discussing a semiconductor problem, you cannot draw an Energy Band Diagram, this shows that you don’t know what you are talking about.”  \n(Nobel Lecture, 2000)  \nKroemer’s corollary  \nIf you can draw one, but don’t , then your audience won’t know what you are talking about.”  \n(Nobel Lecture, 2000)  \nAn important principle (in equilibrium)  \nLundstrom: 2018 6  \nThe Fermi level in equilibrium  \n| The Fermi level is constant in equilibrium. |  |\n| --- | --- |\n\nBand bending  \nWhat happens when we apply a voltage to the gate?  \nVoltage and electron potential energy  \n-  \nA positive potential lowers the energy of an electron.  \nLundstrom: 2018 9  \nElectrostatic potential vs. position","cbCaio6xs1H2WBoJ","https://ap.wps.com/l/cbCaio6xs1H2WBoJ","pdf",331194,29,"English","# The Semiconductor Equations\n## Energy band diagrams\n## Kroemer’s lemma and corollary\n## The Fermi level in equilibrium\n## Band bending\n## Voltage and electron potential energy","[{\"question\":\"Why are energy band diagrams considered important in semiconductor physics?\",\"answer\":\"They serve as a powerful tool for providing qualitative solutions to the semiconductor equations, making them essential for understanding device physics.\"},{\"question\":\"What does Kroemer's lemma state regarding energy band diagrams?\",\"answer\":\"It posits that if you cannot draw an energy band diagram while discussing a semiconductor problem, it indicates a lack of understanding of the subject.\"},{\"question\":\"How does applying a positive voltage affect the energy of an electron in this context?\",\"answer\":\"According to the lecture, applying a positive potential lowers the potential energy of an electron.\"}]","Primer on Semiconductors - Unit 5 - Lecture 5.2 - Energy Band Diagrams | PDF",73]