{"id":667936,"date":"2023-08-31T19:46:42","date_gmt":"2023-08-31T14:16:42","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=667936"},"modified":"2023-08-31T19:48:28","modified_gmt":"2023-08-31T14:18:28","slug":"radial-nodes-definition-formula-types-comparison-with-angular-nodes","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/","title":{"rendered":"Radial nodes | Definition, Formula, Types &#038; Comparison with Angular Nodes"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Introduction_Radial_nodes\" title=\"Introduction Radial nodes\">Introduction Radial nodes<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Definition_of_Radial_nodes\" title=\"Definition of Radial nodes\">Definition of Radial nodes<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#How_to_find_radial_nodes_Radial_nodes_formula\" title=\"How to find radial nodes: Radial nodes formula\">How to find radial nodes: Radial nodes formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Radial_nodes_in_2p\" title=\"Radial nodes in 2p\">Radial nodes in 2p<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Radial_nodes_in_3s\" title=\"Radial nodes in 3s\">Radial nodes in 3s<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Radial_nodes_in_4d_orbital\" title=\"Radial nodes in 4d orbital\">Radial nodes in 4d orbital<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Radial_nodes_and_Angular_nodes_Comparison\" title=\"Radial nodes and Angular nodes: Comparison\">Radial nodes and Angular nodes: Comparison<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Count_of_Electrons\" title=\"Count of Electrons\">Count of Electrons<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Based_on_Shape\" title=\"Based on Shape\">Based on Shape<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Through_Characteristic_Properties\" title=\"Through Characteristic Properties\">Through Characteristic Properties<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Depending_on_the_number_of_nodes\" title=\"Depending on the number of nodes\">Depending on the number of nodes<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Angular_nodes_formula\" title=\"Angular nodes formula\">Angular nodes formula<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#Frequently_Asked_Questions_on_Radial_nodes\" title=\"Frequently Asked Questions on Radial nodes\">Frequently Asked Questions on Radial nodes<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#What_is_radial_node\" title=\"What is radial node?\">What is radial node?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#How_to_calculate_radial_node\" title=\"How to calculate radial node?\">How to calculate radial node?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#How_many_no_of_radial_nodes_are_present_in_4d_orbital\" title=\"How many no of radial nodes are present in 4d orbital?\">How many no of radial nodes are present in 4d orbital?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#How_many_radial_nodes_are_present_in_3p_orbital\" title=\"How many radial nodes are present in 3p orbital?\">How many radial nodes are present in 3p orbital?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/infinitylearn.com\/surge\/topics\/radial-nodes\/#What_are_radial_nodes_also_called\" title=\"What are radial nodes also called?\">What are radial nodes also called?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_Radial_nodes\"><\/span>Introduction Radial nodes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Within an atom, there are two sorts of nodes: angular and radial. This section is dedicated to angular nodes, which are or will be explored in another section. Radial nodes, as the name implies, are determined radially. Places lacking electrons, or radial nodes, can be found using the radial probability density function.<\/p>\n<p>Angular nodes are either x, y, or z planes that are devoid of electrons, whereas radial nodes are parts of these axes that are devoid of electrons.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Definition_of_Radial_nodes\"><\/span>Definition of Radial nodes<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Radial nodes are often spherical locations with a 0% probability of detecting an electron. This sphere has a set radius. Radial nodes can thus be determined radially. When the principal quantum number grows, radial nodes form.<\/p>\n<p>The primary quantum number is related to electron shells. The radial probability density function must be employed while calculating radial nodes.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone wp-image-667937 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/08\/Radial-nodes.png\" alt=\"Radial nodaes\" width=\"483\" height=\"178\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/08\/Radial-nodes.png 483w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/08\/Radial-nodes-300x111.png 300w\" sizes=\"(max-width: 483px) 100vw, 483px\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"How_to_find_radial_nodes_Radial_nodes_formula\"><\/span>How to find radial nodes: Radial nodes formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Radial nodes can be calculated using the following formula:<br \/>\n<strong>Number of radial nodes<\/strong> count = n-l-1 = n-(l+1)<br \/>\nWhere n denotes the principal quantum number and l denotes the azimuthal quantum number.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Radial_nodes_in_2p\"><\/span>Radial nodes in 2p<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The value of the principal quantum number (n) in the 2p orbital is 2 and the value of the azimuthal quantum number (l) is 1.<\/p>\n<p>Radial nodes in 2p = n-l-1 = 2-1-1 = 0<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Radial_nodes_in_3s\"><\/span>Radial nodes in 3s<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In the 3s orbital, the primary quantum number (n) equals 3 and the azimuthal quantum number (l) equals 0.<\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/questions\/chemistry\/number-angular-nodes-radial-nodes-s-orbital-are\"><strong>Radial nodes in 3s<\/strong><\/a> = n &#8211; l -1 = 3 &#8211; 0 &#8211; 1 = 2<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Radial_nodes_in_4d_orbital\"><\/span>Radial nodes in 4d orbital<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>In 4d orbital, the value of principal quantum number (n) is 4 and the value of Azimuthal quantum number (l) is 2<\/p>\n<p>Number of Radial nodes in 4d orbital = n- l -1 = 4-2-1 = 1<\/p>\n<h3><span class=\"ez-toc-section\" id=\"Radial_nodes_and_Angular_nodes_Comparison\"><\/span>Radial nodes and Angular nodes: Comparison<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"Count_of_Electrons\"><\/span>Count of Electrons<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Radial Nodes: These nodes often have spherical surfaces with a zero likelihood of finding an electron.<br \/>\nAngular Nodes: Angular nodes are normally flat planes (or cones) with a 0% probability of containing an electron.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Based_on_Shape\"><\/span>Based on Shape<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Radial nodes are discovered to be spherical.<br \/>\nAngular Nodes: Angular nodes are planar or cone-shaped.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Through_Characteristic_Properties\"><\/span>Through Characteristic Properties<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Radial Nodes: Radial nodes have fixed radii.<br \/>\nAngular Nodes: These nodes have set angles.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Depending_on_the_number_of_nodes\"><\/span>Depending on the number of nodes<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>Number of radial nodes: The primary quantum number can be used to calculate the number of radial nodes in an atom.<br \/>\nAngular Nodes: The number of angular nodes in an atom is often computed using angular momentum quantum number.<\/p>\n<p><strong>Also Check Relevant Topics like:<\/strong><\/p>\n<p><a href=\"https:\/\/infinitylearn.com\/surge\/formulas\/chemistry-formulas\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Chemistry Formulas<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/chemistry-articles\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Chemistry Articles<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/topics\/newman-projections\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Newman Projections<\/button><\/a> <a href=\"https:\/\/infinitylearn.com\/surge\/articles\/the-cannizzaro-reaction-key-points-mechanism-and-conditions\/\"><button class=\"btn btn-dark mx-2 my-2 px-4\" style=\"border-radius: 50px;\" type=\"button\">Cannizzaro Reaction<\/button><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Angular_nodes_formula\"><\/span>Angular nodes formula<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>The angular node values are not determined by the value of the primary quantum number. It is solely determined by the value of the azimuthal quantum number.<\/p>\n<p>l = number of angular nodes<\/p>\n<p>Where l denotes the azimuthal quantum number<\/p>\n<p>Total number of nodes = no of radial nodes plus angular nodes = (n-l-1) = (n-1)<\/p>\n<p>As a result, the total number of nodes equals (n-1).<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Radial_nodes\"><\/span>Frequently Asked Questions on Radial nodes<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_is_radial_node\"><\/span>What is radial node?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tRadial nodes are spherical surface regions with a 0% probability of finding an electron. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_to_calculate_radial_node\"><\/span>How to calculate radial node?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\t The following simple equation can be used to calculate the number of radial nodes. No of Radial Nodes = n - 1 - l The 'n' represents the total number of nodes present. The total number of nodes is n-1. Using the total number of nodes, we can calculate the number of radial nodes. The number of radial nodes is n-l-1 \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_many_no_of_radial_nodes_are_present_in_4d_orbital\"><\/span>How many no of radial nodes are present in 4d orbital?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe number of radial nodes relates to the principal quantum number, n. Overall, the nd orbitals have (n - 3) radial nodes. As a result, the 4d-orbitals each have (4 - 3) = 1 radial node.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"How_many_radial_nodes_are_present_in_3p_orbital\"><\/span>How many radial nodes are present in 3p orbital?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tone radial node The np orbital has (n - 2) radial nodes in general. As a result, the 3p-orbital has (3 - 2) = 1 radial nodes. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h3><span class=\"ez-toc-section\" id=\"What_are_radial_nodes_also_called\"><\/span>What are radial nodes also called?<span class=\"ez-toc-section-end\"><\/span><\/h3>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tA radial node is also known as a nodal area. A radial node is a spherical surface with a zero probability of finding an electron. The number of radial nodes grows in proportion to the principle quantum number (n). An angular node is also known as a nodal plane. \t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is radial node?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Radial nodes are spherical surface regions with a 0% probability of finding an electron.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How to calculate radial node?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The following simple equation can be used to calculate the number of radial nodes. No of Radial Nodes = n - 1 - l The 'n' represents the total number of nodes present. The total number of nodes is n-1. Using the total number of nodes, we can calculate the number of radial nodes. The number of radial nodes is n-l-1\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How many no of radial nodes are present in 4d orbital?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The number of radial nodes relates to the principal quantum number, n. Overall, the nd orbitals have (n - 3) radial nodes. As a result, the 4d-orbitals each have (4 - 3) = 1 radial node.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"How many radial nodes are present in 3p orbital?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"one radial node The np orbital has (n - 2) radial nodes in general. As a result, the 3p-orbital has (3 - 2) = 1 radial nodes.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are radial nodes also called?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"A radial node is also known as a nodal area. A radial node is a spherical surface with a zero probability of finding an electron. The number of radial nodes grows in proportion to the principle quantum number (n). An angular node is also known as a nodal plane.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>Introduction Radial nodes Within an atom, there are two sorts of nodes: angular and radial. This section is dedicated to [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Radial Nodes","_yoast_wpseo_title":"Radial Nodes - Radial nodes and Angular nodes Formula","_yoast_wpseo_metadesc":"Radial nodes are spherical surfaces where the wavefunction is zero. Angular nodes are planar surfaces where the wavefunction is zero.","custom_permalink":"topics\/radial-nodes\/"},"categories":[8593,8591],"tags":[8828,8827,8826,8823,8822,8821,8819,8818,8817,8824,8825,8829,8820],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Radial Nodes - Radial nodes and Angular nodes Formula<\/title>\n<meta name=\"description\" content=\"Radial nodes are spherical surfaces where the wavefunction is zero. 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