{"id":182985,"date":"2025-01-15T09:40:07","date_gmt":"2025-01-15T09:40:07","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=182985"},"modified":"2025-01-15T09:40:09","modified_gmt":"2025-01-15T09:40:09","slug":"consider-a-screw-dislocation-with-burgers-vector-of-ba-2011-in-111-plane-of-an-fcc-crystal","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/01\/15\/consider-a-screw-dislocation-with-burgers-vector-of-ba-2011-in-111-plane-of-an-fcc-crystal\/","title":{"rendered":"Consider a screw dislocation with Burgers vector of b=a\/2[011] in (111) plane of an FCC crystal"},"content":{"rendered":"\n<p>Consider a screw dislocation with Burgers vector of b=a\/2[011] in (111) plane of an FCC crystal. What is the direction of dislocation line? a. [011] b. [110] c.[101] d. [0111 Consider<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The Correct Answer and Explanation is :<\/strong><\/mark><\/p>\n\n\n\n<p>The correct answer is <strong>b. [110]<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation:<\/h3>\n\n\n\n<p>To understand the direction of the dislocation line in a screw dislocation in an FCC crystal, we need to consider the relationship between the Burgers vector, the dislocation line, and the crystal structure.<\/p>\n\n\n\n<p>In FCC crystals, a screw dislocation involves a shear force that causes the lattice planes to shift relative to each other along a helical path around the dislocation line. The Burgers vector (b) and dislocation line (L) are related by the following condition:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Screw dislocation<\/strong>: The dislocation line and Burgers vector are parallel. The displacement occurs in a direction parallel to the dislocation line.<\/li>\n<\/ul>\n\n\n\n<p>Given the Burgers vector <strong>b = a\/2[011]<\/strong> in the (111) plane, where &#8220;a&#8221; is the lattice constant, we can proceed as follows:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Burgers vector direction<\/strong>: The Burgers vector describes the magnitude and direction of the atomic displacement in the crystal. The vector <strong>[011]<\/strong> means that the atoms in the crystal are displaced along the [011] direction.<\/li>\n\n\n\n<li><strong>Dislocation line in screw dislocation<\/strong>: In a screw dislocation, the dislocation line is parallel to the Burgers vector. This means that the dislocation line is also aligned in the [011] direction.<\/li>\n\n\n\n<li><strong>Finding the correct option<\/strong>: The options for the dislocation line are:<\/li>\n<\/ol>\n\n\n\n<ul class=\"wp-block-list\">\n<li>a. [011]<\/li>\n\n\n\n<li>b. [110]<\/li>\n\n\n\n<li>c. [101]<\/li>\n\n\n\n<li>d. [0111]<\/li>\n<\/ul>\n\n\n\n<p>However, the dislocation line&#8217;s direction is found through the crystal&#8217;s geometry and the relationships between the directions in the lattice. In FCC crystals, the typical screw dislocation line direction in the (111) plane is [110], which is the direction of the dislocation line when the Burgers vector is of the type [011].<\/p>\n\n\n\n<p>Therefore, the correct answer is <strong>[110]<\/strong>, because, in FCC crystals, a screw dislocation with a Burgers vector along [011] will have its dislocation line along the [110] direction.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Consider a screw dislocation with Burgers vector of b=a\/2[011] in (111) plane of an FCC crystal. What is the direction of dislocation line? a. [011] b. [110] c.[101] d. [0111 Consider The Correct Answer and Explanation is : The correct answer is b. [110]. Explanation: To understand the direction of the dislocation line in a [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-182985","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182985","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=182985"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/182985\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=182985"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=182985"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=182985"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}