{"id":8758,"date":"2023-01-13T08:46:32","date_gmt":"2023-01-13T07:46:32","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=8758"},"modified":"2024-06-09T14:33:38","modified_gmt":"2024-06-09T13:33:38","slug":"how-to-calculate-and-solve-for-equilibrium-number-of-vacancies-imperfection-in-solids","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2023\/01\/13\/how-to-calculate-and-solve-for-equilibrium-number-of-vacancies-imperfection-in-solids\/","title":{"rendered":"How to Calculate and Solve for Equilibrium Number of Vacancies | Imperfection in Solids"},"content":{"rendered":"

\"\"<\/p>\n

The image above represents equilibrium number of vacancies. To calculate equilibrium number of vacancies, four essential parameters are needed and these parameters are Total Number of Atomic Sites (N), Energy for Forming Vacancy (-Qv<\/sub>), Boltzmann’s Constant (K)\u00a0<\/strong>and\u00a0Temperature (T).<\/strong><\/p>\n

The formula for calculating equilibrium number of vacancies:<\/strong><\/h3>\n

Nv<\/sub>\u00a0= Nexp(-Qv<\/sub><\/sup>\/KT<\/sub>)<\/p>\n

Where:<\/p>\n

Nv<\/sub>\u00a0= Equilibrium Number of Vacancies
\nN = Total Number of Atomic Sites
\n-Qv<\/sub>\u00a0= Energy for Forming Vacancy
\nK = Boltzmann’s Constant<\/a>
\nT = Temperature (in Kelvin)<\/p>\n

Let’s solve an example;
\nFind the equilibrum number of vacancies when the total number of atomic sites is 12, the energy for forming vacancy is 10 and the boltzmann’s constant is 1.38064852E-23 and the temperature is 5.<\/p>\n

This implies that;<\/p>\n

N = Total Number of Atomic Sites = 12
\n-Qv<\/sub> = Energy for Forming Vacancy = 10
\nK = Boltzmann’s Constant = 1.38064852E-23
\nT = Temperature (in Kelvin) = 5<\/p>\n

Nv<\/sub>\u00a0= Nexp(-Qv<\/sub><\/sup>\/KT<\/sub>)
\nNv<\/sub>\u00a0= 12exp(10<\/sup>\/(1.38064852e-23)(5)<\/sub>)
\nThat is, Nv<\/sub>\u00a0= 12exp(10<\/sup>\/(6.903242599999999e-23)<\/sub>)
\nNv<\/sub> = 12exp(1.4485946068301296e+23)
\nSo, Nv<\/sub> = 12(Infinity)
\nNv<\/sub> = Infinity<\/p>\n

Therefore, the\u00a0equilibrum number of vacanies\u00a0<\/strong>is\u00a0infinity.<\/strong><\/p>\n

Read more:\u00a0How to Calculate and Solve for Number of Atoms per Unit Volume in Metals | Imperfection in Solids<\/a><\/p>\n

How to Calculate Equilibrium Number of Vacancies Using Nickzom Calculator<\/strong><\/h3>\n

Nickzom Calculator \u2013\u00a0The Calculator Encyclopedia<\/strong> is capable of calculating the equilibrium number of vacancies.<\/p>\n

\n

To get the answer and workings of the equilibrium number of vacancies using the Nickzom Calculator \u2013 The Calculator Encyclopedia.\u00a0<\/strong>First, you need to obtain the app.<\/p>\n

You can get this app via any of these means:<\/p>\n

Web<\/strong>\u00a0\u2013\u00a0https:\/\/www.nickzom.org\/calculator-plus<\/a><\/p>\n

To get access to the\u00a0professional\u00a0<\/strong>version via web, you need to\u00a0register<\/strong>\u00a0and\u00a0subscribe\u00a0<\/strong>to have utter access to all functionalities.
\nYou can also try the\u00a0demo\u00a0<\/strong>version via\u00a0https:\/\/www.nickzom.org\/calculator<\/a><\/p>\n

Android (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=org.nickzom.nickzomcalculator<\/a>
\nAndroid (Free)<\/strong>\u00a0\u2013\u00a0https:\/\/play.google.com\/store\/apps\/details?id=com.nickzom.nickzomcalculator<\/a><\/p>\n

Apple (Paid)<\/strong>\u00a0\u2013\u00a0https:\/\/itunes.apple.com\/us\/app\/nickzom-calculator\/id1331162702?mt=8<\/a>
\nOnce, you have obtained the calculator encyclopedia app, proceed to the\u00a0Calculator Map,\u00a0<\/strong>then click on\u00a0Materials and Metallurgical\u00a0<\/b>under\u00a0Engineering<\/strong>.<\/strong><\/p>\n<\/div>\n

<\/p>\n

Now, Click on\u00a0Imperfection in Solids<\/strong>\u00a0<\/b>under\u00a0Materials and Metallurgical<\/strong><\/p>\n

\"\"<\/p>\n

Now, Click on Equilibrium Number of Vacancies<\/strong>\u00a0<\/strong>under\u00a0Imperfection in Solids<\/strong><\/p>\n

\"\"<\/p>\n

The screenshot below displays the page or activity to enter your values, to get the answer for the Equilibrium number of vacancies according to the respective parameter which is the Total Number of Atomic Sites (N), Energy for Forming Vacancy (-Qv<\/sub>), Boltzmann’s Constant (K)\u00a0<\/strong>and\u00a0Temperature (T).<\/strong><\/p>\n

\"\"<\/p>\n

Now, enter the values appropriately and accordingly for the parameters as required by the Total Number of Atomic Sites (N)<\/strong> is 12<\/strong>, Energy for Forming Vacancy (-Qv<\/sub>)<\/strong> is 10<\/strong>, Boltzmann’s Constant (K)<\/strong> is 1.38064852E-23 <\/strong>and Temperature (T)<\/strong> is 5<\/strong>.<\/p>\n

\"How<\/p>\n

Finally, Click on Calculate<\/p>\n

\"How
\n\"How<\/p>\n

As you can see from\u00a0the screenshot above,\u00a0Nickzom Calculator<\/strong>\u2013 The Calculator Encyclopedia solves for the equilibrium number of vacancies and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents equilibrium number of vacancies. To calculate equilibrium number of vacancies, four essential parameters are…","protected":false},"author":5,"featured_media":16801,"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":[873,2405,60,2406,2407,543,75,2404],"class_list":["post-8758","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-boltzmanns-constant","tag-energy-for-forming-vacancy","tag-engineering","tag-equilibrium-number-of-vacancies","tag-imperfection-in-solids","tag-materials-and-metallurgical","tag-temperature","tag-total-number-of-atomic-sites","cs-entry"],"yoast_head":"\nHow 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