{"id":6142,"date":"2021-09-24T01:02:31","date_gmt":"2021-09-24T00:02:31","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6142"},"modified":"2024-05-14T08:38:27","modified_gmt":"2024-05-14T07:38:27","slug":"how-to-calculate-and-solve-for-average-velocity-of-electrons-at-fermi-energy-energy-transport","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/09\/24\/how-to-calculate-and-solve-for-average-velocity-of-electrons-at-fermi-energy-energy-transport\/","title":{"rendered":"How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-6162\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/average-velocity-electrons-at-fermi-energy.png\" alt=\"\" width=\"248\" height=\"203\" \/><\/p>\n<p>The image above represents average velocity of electrons at fermi energy. To calculate the average velocity of electrons at fermi energy, two essential parameters are needed and these parameters are <strong>Fermi Energy (\u03b5<sub>f<\/sub>)<\/strong> and <strong>Mass of Electron (m<sub>e<\/sub>).<\/strong><\/p>\n<h3><strong>The formula for calculating the average velocity of electrons at fermi energy:<\/strong><\/h3>\n<p>v&#8217;<sub>f<\/sub> = (<sup>2\u03b5<sub>f<\/sub><\/sup> \/ <sub>me<\/sub>)<sup>0.5<\/sup><\/p>\n<p>Where:<\/p>\n<p>v&#8217;<sub>f<\/sub> = Average Velocity of Electrons at Fermi Energy<br \/>\n\u03b5<sub>f<\/sub> = Fermi Energy<br \/>\nm<sub>e<\/sub> = Mass of Electron<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the average velocity of electrons at fermi energy when the fermi energy is 22 and the mass of electron is 11.<\/p>\n<p>This implies that;<\/p>\n<p>\u03b5<sub>f<\/sub> = Fermi Energy = 22<br \/>\nm<sub>e<\/sub> = Mass of Electron = 11<\/p>\n<p>v&#8217;<sub>f<\/sub> = (<sup>2\u03b5<sub>f<\/sub><\/sup> \/ <sub>me<\/sub>)<sup>0.5<\/sup><br \/>\nv&#8217;<sub>f<\/sub> = (<sup>2(22)<\/sup> \/ <sub>11<\/sub>)<sup>0.5<\/sup><br \/>\nThen, v&#8217;<sub>f<\/sub> = (<sup>44<\/sup> \/ <sub>11<\/sub>)<sup>0.5<\/sup><br \/>\nv&#8217;<sub>f<\/sub> = (4)<sup>0.5<\/sup><br \/>\nv&#8217;<sub>f<\/sub> = 2<\/p>\n<p>Therefore, the <strong>average velocity of electrons at fermi energy <\/strong>is <strong>2m\/s.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/09\/24\/how-to-calculate-and-solve-for-speed-of-sound-throughout-liquid-energy-transport\/\">How to Calculate and Solve for Speed of Sound throughout Liquid | Energy Transport<\/a><\/p>\n<h3><strong>How to Calculate the Average Velocity of Electrons at Fermi Energy With Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the average velocity of electrons at fermi energy.<\/p>\n<div>\n<p>To get the answer and workings of the average velocity of electrons at fermi energy using the <strong>Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n<p>You can get this app via any of these means:<\/p>\n<p><strong>Web<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator-plus\">https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n<p>To get access to the\u00a0<strong>professional\u00a0<\/strong>version via web, you need to\u00a0<strong>register<\/strong>\u00a0and\u00a0<strong>subscribe <\/strong>to have utter access to all functionalities.<br \/>\nYou can also try the\u00a0<strong>demo\u00a0<\/strong>version via\u00a0<a href=\"https:\/\/www.nickzom.org\/calculator\">https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n<p><strong>Android (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a><br \/>\n<strong>Android (Free)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator\">https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n<p><strong>Apple (Paid)<\/strong>\u00a0\u2013\u00a0<a href=\"https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8\">https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a><br \/>\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0<strong>Calculator Map,\u00a0<\/strong>then click on\u00a0<b>Materials and Metallurgical\u00a0<\/b>under\u00a0<strong>Engineering<\/strong><strong>.<\/strong><\/p>\n<\/div>\n<p><img decoding=\"async\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/07\/Screenshot-2.png\" \/><\/p>\n<p>Now, Click on <b>Energy Transport <\/b>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6119 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-108.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-108.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-108-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-108-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-108-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Average Velocity of Electrons at Fermi Energy <\/strong>under <strong>Energy Transport<br \/>\n<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6172 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-132.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-132.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-132-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-132-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-132-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>The screenshot below displays the page or activity to enter your values, to get the answer for the average velocity of electrons at fermi energy according to the respective parameter which is the <strong>\u00a0Fermi Energy (\u03b5<sub>f<\/sub>) and Mass of Electron (m<sub>e<\/sub>).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6173 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-133.png\" alt=\"How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-133.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-133-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-133-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-133-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, enter the values appropriately and accordingly for the parameters as required by the\u00a0\u00a0<strong>Fermi Energy (\u03b5<sub>f<\/sub>)\u00a0<\/strong>is\u00a0<strong>22<\/strong> and <strong>Mass of Electron (m<sub>e<\/sub>)<\/strong> is <strong>11<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6174 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-134.png\" alt=\"How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-134.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-134-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-134-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-134-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Finally, Click on Calculate<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6175 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-135.png\" alt=\"How to Calculate and Solve for Average Velocity of Electrons at Fermi Energy | Energy Transport\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-135.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-135-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-135-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-135-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-6176 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-136.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-136.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-136-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-136-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/09\/Screenshot-136-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>As you can see from\u00a0the screenshot above,\u00a0<strong>Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the average velocity of electrons at fermi energy and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents average velocity of electrons at fermi energy. To calculate the average velocity of electrons&hellip;","protected":false},"author":5,"featured_media":15171,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_opengraph-title":"","_yoast_wpseo_opengraph-description":"","_yoast_wpseo_twitter-title":"","_yoast_wpseo_twitter-description":"","_lmt_disableupdate":"","_lmt_disable":"","_sitemap_exclude":false,"_sitemap_priority":"","_sitemap_frequency":"","_yoast_wpseo_focuskw_text_input":"","csco_display_header_overlay":false,"csco_singular_sidebar":"","csco_page_header_type":"","footnotes":"","_members_access_role":[],"_members_access_error":""},"categories":[47],"tags":[1765,1732,60,1761,1764,543],"class_list":["post-6142","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-average-velocity-of-electrons-at-fermi-energy","tag-energy-transport","tag-engineering","tag-fermi-energy","tag-mass-of-electrons","tag-materials-and-metallurgical","cs-entry"],"yoast_head":"<!-- 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