{"id":6853,"date":"2021-12-11T10:36:19","date_gmt":"2021-12-11T09:36:19","guid":{"rendered":"https:\/\/www.nickzom.org\/blog\/?p=6853"},"modified":"2024-05-21T07:49:07","modified_gmt":"2024-05-21T06:49:07","slug":"how-to-calculate-and-solve-for-litts-fraction-of-unoccupied-volume-polymer-deformation-2","status":"publish","type":"post","link":"https:\/\/www.nickzom.org\/blog\/2021\/12\/11\/how-to-calculate-and-solve-for-litts-fraction-of-unoccupied-volume-polymer-deformation-2\/","title":{"rendered":"How to Calculate and Solve for Litt&#8217;s Fraction of Unoccupied Volume |  Polymer Deformation"},"content":{"rendered":"<p><img decoding=\"async\" class=\"alignnone size-full wp-image-6878\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/litts-fraction-of-unoccupied-volume.jpg\" alt=\"\" width=\"225\" height=\"225\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/litts-fraction-of-unoccupied-volume.jpg 225w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/litts-fraction-of-unoccupied-volume-150x150.jpg 150w\" sizes=\"(max-width: 225px) 100vw, 225px\" \/><\/p>\n<p>The image above represents litt&#8217;s fraction of unoccupied volume. To calculate litt&#8217;s fraction of unoccupied volume, two essential parameter are needed and these parameters are <strong>Density of Amorphous (d<sub>a<\/sub>)<\/strong> and <strong>Density of Crystalline (d<sub>c<\/sub>).<\/strong><\/p>\n<h3><strong>The formula for calculating litt&#8217;s fraction of unoccupied volume:<\/strong><\/h3>\n<p>\u03b6 = 1 &#8211; (<sup>d<sub>a<\/sub><\/sup>\/<sub>dc<\/sub>)<\/p>\n<p>Where:<\/p>\n<p>\u03b6 = Litt&#8217;s Fraction of Unoccupied Volume (d)<br \/>\nd<sub>a<\/sub> = Density of Amorphous<br \/>\nd<sub>c<\/sub> = Density of Crystalline<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the litt&#8217;s fraction of unoccupied volume when the density of amorphous is 24 and the density of crystalline is 8.<\/p>\n<p>This implies that;<\/p>\n<p>d<sub>a<\/sub> = Density of Amorphous = 24<br \/>\nd<sub>c<\/sub> = Density of Crystalline = 8<\/p>\n<p>\u03b6 = 1 &#8211; (<sup>d<sub>a<\/sub><\/sup>\/<sub>dc<\/sub>)<br \/>\nSo, \u03b6 = 1 &#8211; (<sup>24<\/sup>\/<sub>8<\/sub>)<br \/>\n\u03b6 = 1 &#8211; (3)<br \/>\n\u03b6 = -2<\/p>\n<p>Therefore, the <strong>litt&#8217;s fraction of unoccupied volume <\/strong>is <strong>-2.<\/strong><\/p>\n<h3><strong>Calculating the Density of Amorphous when the Litt&#8217;s Fraction of Unoccupied Volume and Density of Crystalline are Given<\/strong><\/h3>\n<p>d<sub>a<\/sub> = d<sub>c<\/sub> (\u03b6 + 1)<\/p>\n<p>Where:<\/p>\n<p>d<sub>a<\/sub> = Density of Amorphous<br \/>\n\u03b6 = Litt&#8217;s Fraction of Unoccupied Volume (d)<br \/>\nd<sub>c<\/sub> = Density of Crystalline<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nGiven that litt&#8217;s fraction of unoccupied volume is 10 and the density of crystalline is 5. Find the density of amorphous?<\/p>\n<p>This implies that;<\/p>\n<p>\u03b6 = Litt&#8217;s Fraction of Unoccupied Volume = 10<br \/>\nd<sub>c<\/sub> = Density of Crystalline = 5<\/p>\n<p>d<sub>a<\/sub> = d<sub>c<\/sub> (\u03b6 + 1)<br \/>\nThat is, d<sub>a<\/sub> = 5 (10 + 1)<br \/>\nd<sub>a<\/sub> = 5 (11)<br \/>\nd<sub>a<\/sub> = 55<\/p>\n<p>Therefore, the <strong>density of amorphous <\/strong>is <strong>55.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2021\/12\/11\/how-to-calculate-and-solve-for-litts-fraction-of-unoccupied-volume-polymer-deformation\/\">How to Calculate and Solve for Litt&#8217;s Fraction of Unoccupied Volume | Polymer Deformation<\/a><\/p>\n<h3><strong>Calculating the Density of Crystalline when the Litt&#8217;s Fraction of Unoccupied Volume and the Density of Amorphous are Given<\/strong><\/h3>\n<p>d<sub>c<\/sub> = <sup>d<sub>a<\/sub><\/sup> \/ <sub>\u03b6 + 1<\/sub><\/p>\n<p>Where:<\/p>\n<p>d<sub>c<\/sub> = Density of Crystalline<br \/>\n\u03b6 = Litt&#8217;s Fraction of Unoccupied Volume (d)<br \/>\nd<sub>a<\/sub> = Density of Amorphous<\/p>\n<p>Let&#8217;s solve an example;<br \/>\nFind the density of crystalline when the litt&#8217;s fraction of unoccupied volme is 11 and the density of amorphous is 48.<\/p>\n<p>This implies that;<\/p>\n<p>\u03b6 = Litt&#8217;s Fraction of Unoccupied Volume (d) = 11<br \/>\nd<sub>a<\/sub> = Density of Amorphous = 48<\/p>\n<p>d<sub>c<\/sub> = <sup>d<sub>a<\/sub><\/sup> \/ <sub>\u03b6 + 1<\/sub><br \/>\nThat is, d<sub>c<\/sub> = <sup>48<\/sup> \/ <sub>11 + 1<\/sub><br \/>\nd<sub>c<\/sub> = <sup>48<\/sup> \/ <sub>12<\/sub><br \/>\nd<sub>c<\/sub> = 4<\/p>\n<p>Therefore, the <strong>density of crystalline <\/strong>is <strong>4.<\/strong><\/p>\n<p>Read more:\u00a0<a href=\"https:\/\/www.nickzom.org\/blog\/2022\/12\/04\/how-to-calculate-and-solve-for-percentage-crystallinity-polymer\/\">How to Calculate and Solve for Percentage Crystallinity | Polymer<\/a><\/p>\n<h3><strong>How to Calculate Litt&#8217;s Fraction of Unoccupied Volume Using Nickzom Calculator<\/strong><\/h3>\n<p>Nickzom Calculator \u2013\u00a0<strong>The Calculator Encyclopedia<\/strong> is capable of calculating the litt&#8217;s fraction of unoccupied volume.<\/p>\n<div>\n<p>To get the answer and workings of the litt&#8217;s fraction of unoccupied volume 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>Polymer Deformation <\/b>under\u00a0<strong>Materials and Metallurgical<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6879 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-547-768x432.png 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p>Now, Click on <strong>Litt&#8217;s Fraction of Unoccupied Volume<\/strong> under <strong>Polymer Deformation<br \/>\n<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6885 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-510.png\" alt=\"\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-510.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-510-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-510-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-510-768x432.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 litt&#8217;s fraction of unoccupied volume according to the respective parameter which is the <strong>Density of Amorphous (d<sub>a<\/sub>)<\/strong> and <strong>Density of Crystalline (d<sub>c<\/sub>).<\/strong><\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6886 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-511.png\" alt=\"How to Calculate and Solve for Litt's Fraction of Unoccupied Volume |  Polymer Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-511.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-511-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-511-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-511-768x432.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>Density of Amorphous (d<sub>a<\/sub>)\u00a0<\/strong>is\u00a0<strong>24<\/strong> and <strong>Density of Crystalline (d<sub>c<\/sub>)<\/strong> is <strong>8<\/strong>.<\/p>\n<p><img decoding=\"async\" class=\"alignnone wp-image-6887 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-512.png\" alt=\"How to Calculate and Solve for Litt's Fraction of Unoccupied Volume |  Polymer Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-512.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-512-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-512-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-512-768x432.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-6888 size-full\" src=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-513.png\" alt=\"How to Calculate and Solve for Litt's Fraction of Unoccupied Volume |  Polymer Deformation\" width=\"1366\" height=\"768\" srcset=\"https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-513.png 1366w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-513-300x169.png 300w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-513-1024x576.png 1024w, https:\/\/www.nickzom.org\/blog\/wp-content\/uploads\/2021\/12\/Screenshot-513-768x432.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 litt&#8217;s fraction of unoccupied volume and presents the formula, workings and steps too.<\/p>\n","protected":false},"excerpt":{"rendered":"The image above represents litt&#8217;s fraction of unoccupied volume. To calculate litt&#8217;s fraction of unoccupied volume, two essential&hellip;","protected":false},"author":5,"featured_media":15512,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"How to Calculate Litt's Fraction of Unoccupied Volume","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Master the steps and the formula on How to Calculate and Solve for Litt's Fraction of Unoccupied Volume in Polymer Deformation","_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":[1956,1957,60,1958,543,1935],"class_list":["post-6853","post","type-post","status-publish","format-standard","has-post-thumbnail","category-engineering","tag-density-of-amorphous","tag-densityof-crystalline","tag-engineering","tag-litts-fraction-of-unoccupied-volume","tag-materials-and-metallurgical","tag-polymer-deformation","cs-entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>How to Calculate and Solve for Litt&#039;s Fraction of Unoccupied Volume | 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