{"id":8099,"date":"2022-12-11T12:18:23","date_gmt":"2022-12-11T11:18:23","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8099"},"modified":"2024-05-31T07:46:57","modified_gmt":"2024-05-31T06:46:57","slug":"how-to-calculate-and-solve-for-free-energy-for-formation-of-stable-nucleus-phase-transformation","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2022\/12\/11\/how-to-calculate-and-solve-for-free-energy-for-formation-of-stable-nucleus-phase-transformation\/","title":{"rendered":"How to Calculate and Solve for Free Energy for Formation of Stable Nucleus | Phase Transformation"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-8103\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/free-energy-for-formation-of-stable-nucleus.png\" alt=\"\" width=\"275\" height=\"183\" \/><\/p>\n<p>The image above represents free energy for formation of stable nucleus. To calculate free energy for formation of stable nucleus, two essential parameters are needed and these parameters are <strong>Volume Free Energy (\u0394G<sub>v<\/sub>)<\/strong> and<strong> Surface Free Energy (\u03b3).<\/strong><\/p>\n<h3><strong>The formula for calculating free energy for formation of stable nucleus:<\/strong><\/h3>\n<p>\u0394G* =\u00a0<sup>16\u03c0\u03b3\u00b3<\/sup>\/<sub>3(\u0394Gv)\u00b2<\/sub><\/p>\n<p>Where:<\/p>\n<p>\u0394G* = Free Energy for Formation of Stable Nucleus<br \/>\n\u03b3 = Surface Free Energy<br \/>\n\u0394G<sub>v<\/sub>\u00a0= Volume Free Energy<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the free energy for formation of stable nucleus when the surface free energy is 12 and the volume free energy is 6.<\/p>\n<p>This implies that;<\/p>\n<p>\u03b3 = Surface Free Energy = 12<br \/>\n\u0394G<sub>v<\/sub> = Volume Free Energy = 6<\/p>\n<p>\u0394G* =\u00a0<sup>16\u03c0\u03b3\u00b3<\/sup>\/<sub>3(\u0394Gv)\u00b2<\/sub><br \/>\nThat is, \u0394G* = <sup>16\u03c0(6)\u00b3<\/sup>\/<sub>3(12)\u00b2<\/sub><br \/>\n\u0394G* =\u00a0<sup>16\u03c0(216)<\/sup>\/<sub>3(144)<\/sub><br \/>\nSo, \u0394G* = <sup>(10857.34)<\/sup>\/<sub>(432)<\/sub><br \/>\n\u0394G* = 25.13<\/p>\n<p>Therefore, the\u00a0<strong>free energy for formation of stable nucleus\u00a0<\/strong>is\u00a0<strong>25.13 J.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/12\/how-to-calculate-and-solve-for-activation-energy-for-heterogeneous-nucleation-phase-transformation\/\">How to Calculate and Solve for Activation Energy for Heterogeneous Nucleation | Phase Transformation<\/a><\/p>\n<h3><strong>How to Calculate Free Energy for Formation of Stable Nucleus Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the free energy for formation of stable nucleus.<\/p>\n<div>\n<p>To get the answer and workings of the free energy for formation of stable nucleus 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>Free Energy for Formation of Stable Nucleus<\/strong><strong>\u00a0<\/strong>under\u00a0<strong>Phase Transformation<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8114 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-106.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-106.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-106-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-106-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-106-768x432.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 free energy for formation of stable nucleus according to the respective parameter which is the <strong>Volume Free Energy (\u0394G<sub>v<\/sub>)<\/strong> and<strong> Surface Free Energy (\u03b3).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8115 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-107.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-107.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-107-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-107-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-107-768x432.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>Volume Free Energy (\u0394G<sub>v<\/sub>)\u00a0<\/strong>is <strong>12<\/strong>\u00a0and<strong> Surface Free Energy (\u03b3)<\/strong> is <strong>6<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-8116 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-108.png\" alt=\"How to Calculate and Solve for Free Energy for Formation of Stable Nucleus | Phase Transformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-108.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-108-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-108-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-108-768x432.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-8117 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-109.png\" alt=\"How to Calculate and Solve for Free Energy for Formation of Stable Nucleus | Phase Transformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-109.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-109-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-109-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-109-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><br \/>\n<img decoding=\"async\" class=\"alignnone wp-image-8118 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110.png\" alt=\"How to Calculate and Solve for Free Energy for Formation of Stable Nucleus | Phase Transformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2022\/12\/Screenshot-110-768x432.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 free energy for formation of stable nucleus and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents free energy for formation of stable nucleus. To calculate free energy for formation of&hellip;","protected":false},"author":5,"featured_media":16151,"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":[60,2274,543,2244,2270,2269],"class_list":["post-8099","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-engineering","tag-free-energy-for-formation-of-stable-nucleus","tag-materials-and-metallurgical","tag-phase-transformation","tag-surface-free-energy","tag-volume-free-energy","cs-entry"],"yoast_head":"<!-- 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