{"id":8194,"date":"2022-12-12T11:30:20","date_gmt":"2022-12-12T10:30:20","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8194"},"modified":"2024-06-04T13:30:06","modified_gmt":"2024-06-04T12:30:06","slug":"how-to-calculate-and-solve-for-activation-energy-for-heterogeneous-nucleation-phase-transformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/12\/12\/how-to-calculate-and-solve-for-activation-energy-for-heterogeneous-nucleation-phase-transformation\/","title":{"rendered":"How to Calculate and Solve for Activation Energy for Heterogeneous Nucleation | Phase Transformation"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-8199\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/activation-energy-for-heterogenous-nucleation.png\" alt=\"\" width=\"193\" height=\"261\" \/><\/p>\n<p>The image above represents activation energy for heterogeneous nucleation. To calculate activation energy for heterogeneous nucleation, three essential parameters are needed and these parameters are <strong>Solid &#8211; Liquid Interface (\u03b3<sub>SL<\/sub>),<\/strong>\u00a0<strong>Volume Free Energy (\u0394G<sub>v<\/sub>)<\/strong> and <strong>Function, S(\u03b8)<\/strong>.<\/p>\n<h3><strong>The formula for calculating activation energy for heterogenous nucleation:<\/strong><\/h3>\n<p>\u0394G* = (<sup>16\u03c0\u03b3<sub>SL<\/sub>\u00b3<\/sup>\/<sub>3\u0394Gv\u00b2<\/sub>)S(\u03b8)<\/p>\n<p>Where:<\/p>\n<p>\u0394G* = Activation Energy for Heterogeneous Nucleation<br \/>\n\u03b3<sub>SL<\/sub> = <a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/12\/how-to-calculate-and-solve-for-solid-liquid-interface-nucleation-energies\/\">Solid-Liquid Interface<\/a><br \/>\n\u0394G<sub>v<\/sub>\u00a0= <a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/12\/how-to-calculate-and-solve-for-volume-free-energy-phase-transformation\/\">Volume Free Energy<\/a><br \/>\nS(\u03b8) = Function<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the activation energy for heterogenous nucleation when the solid &#8211; liquid interface is 12, the volume free energy is 6 and the function is 2.<\/p>\n<p>This implies that;<\/p>\n<p>\u03b3<sub>SL<\/sub> = Solid Liquid Interface = 12<br \/>\n\u0394G<sub>v<\/sub> = Volume Free Energy = 6<br \/>\nS(\u03b8) = Function = 2<\/p>\n<p>\u0394G* = (<sup>16\u03c0\u03b3<sub>SL<\/sub>\u00b3<\/sup>\/<sub>3\u0394Gv\u00b2<\/sub>)S(\u03b8)<br \/>\nThat is, \u0394G* = (<sup>16\u03c0(12)\u00b3<\/sup>\/<sub>3(6)\u00b2<\/sub>)(2)<br \/>\n\u0394G* = (<sup>16\u03c0(1728)<\/sup>\/<sub>3(36)<\/sub>)(2)<br \/>\n\u0394G* = (<sup>(86858.75)<\/sup>\/<sub>(108)<\/sub>)(2)<br \/>\nSo, \u0394G* = (804.24)(2)<br \/>\n\u0394G* = 1608.49<\/p>\n<p>Therefore, the\u00a0<strong>activation energy for heterogenous nucleation\u00a0<\/strong>is\u00a0<strong>1608.49<\/strong><\/p>\n<h3><strong>How to Calculate Activation Energy for Heterogeneous Nucleation Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the activation energy for heterogenous nucleation.<\/p>\n<div>\n<p>To get the answer and workings of the activation energy for heterogenous nucleation 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\u00a0<\/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\u00a0<strong>Phase Transformation<\/strong><b>\u00a0<\/b>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8001 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-44-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Activation Energy for Heterogenous Nucleation<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Phase Transformation<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8206 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-159.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-159.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-159-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-159-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-159-768x432.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 activation energy for heterogenous nucleation according to the respective parameter which is the <strong>Solid &#8211; Liquid Interface (\u03b3<sub>SL<\/sub>),<\/strong>\u00a0<strong>Volume Free Energy (\u0394G<sub>v<\/sub>)<\/strong> and <strong>Function, S(\u03b8)<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8207 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-160.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-160.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-160-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-160-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-160-768x432.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 <strong>Solid &#8211; Liquid Interface (\u03b3<sub>SL<\/sub>)<\/strong> is <strong>12<\/strong>,\u00a0<strong>Volume Free Energy (\u0394G<sub>v<\/sub>) <\/strong>is <strong>6<\/strong>\u00a0and <strong>Function, S(\u03b8) <\/strong>is <strong>2<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8208 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-161.png\" alt=\"How to Calculate and Solve for Activation Energy for Heterogeneous Nucleation | Phase Transformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-161.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-161-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-161-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-161-768x432.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-8209 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-162.png\" alt=\"How to Calculate and Solve for Activation Energy for Heterogeneous Nucleation | Phase Transformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-162.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-162-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-162-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-162-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-8210 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-163.png\" alt=\"How to Calculate and Solve for Activation Energy for Heterogeneous Nucleation | Phase Transformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-163.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-163-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-163-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-163-768x432.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 activation energy for heterogenous nucleation and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents activation energy for heterogeneous nucleation. To calculate activation energy for heterogeneous nucleation, three essential&hellip;","protected":false},"author":5,"featured_media":16327,"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":""},"categories":[47],"tags":[2288,60,225,543,2244,2284,2269],"class_list":["post-8194","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-activation-energy-for-heterogeneous-nucleation","tag-engineering","tag-function","tag-materials-and-metallurgical","tag-phase-transformation","tag-solid-liquid-interface","tag-volume-free-energy","cs-entry"],"yoast_head":"<!-- This site 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