{"id":242577,"date":"2025-07-04T08:23:10","date_gmt":"2025-07-04T08:23:10","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=242577"},"modified":"2025-07-04T08:23:12","modified_gmt":"2025-07-04T08:23:12","slug":"what-is-the-orbital-designation-for-electrons-with-the-following-quantum-numbers","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/07\/04\/what-is-the-orbital-designation-for-electrons-with-the-following-quantum-numbers\/","title":{"rendered":"What is the orbital designation for electrons with the following quantum numbers"},"content":{"rendered":"\n

What is the orbital designation for electrons with the following quantum numbers? Orbital n \/ m 5 3 -3 to 3 Question Help:Read Message instructor Calculator Submit Question<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n

Correct Answer:<\/strong> 5f<\/p>\n\n\n\n

Explanation<\/h3>\n\n\n\n

The orbital designation for an electron is determined by its principal quantum number (n) and its angular momentum quantum number (l). These numbers are part of a set of four quantum numbers that describe the unique state of an electron in an atom, according to the Schr\u00f6dinger wave equation.<\/p>\n\n\n\n

    \n
  1. The Principal Quantum Number (n):<\/strong>\u00a0This number specifies the principal energy level, or shell, of an electron. It can be any positive integer (1, 2, 3, etc.). A higher value of n indicates a higher energy level and a greater average distance from the nucleus. In this problem,\u00a0n = 5<\/strong>, which means the electrons are in the fifth energy shell. This number becomes the numerical prefix in the orbital designation.<\/li>\n\n\n\n
  2. The Angular Momentum Quantum Number (l):<\/strong>\u00a0This number defines the shape of the orbital and designates the subshell within the principal shell. The value of l can range from 0 to n-1. Each value of l corresponds to a specific letter used to name the subshell:\n
      \n
    • l = 0 corresponds to the\u00a0s<\/strong>\u00a0subshell.<\/li>\n\n\n\n
    • l = 1 corresponds to the\u00a0p<\/strong>\u00a0subshell.<\/li>\n\n\n\n
    • l = 2 corresponds to the\u00a0d<\/strong>\u00a0subshell.<\/li>\n\n\n\n
    • l = 3 corresponds to the\u00a0f<\/strong>\u00a0subshell.
      In this case,\u00a0l = 3<\/strong>, which means the electrons are in an\u00a0f<\/strong>\u00a0subshell.<\/li>\n<\/ul>\n<\/li>\n\n\n\n
    • The Magnetic Quantum Number (m_l):<\/strong>\u00a0This number describes the orientation of the orbital in space. Its possible values range from -l to +l, including 0. For l = 3, the possible values for m_l are -3, -2, -1, 0, +1, +2, and +3. The problem statement gives the range\u00a0m_l = -3 to 3<\/strong>, which encompasses all seven possible orientations for an f subshell. This confirms the consistency of the quantum numbers provided.<\/li>\n<\/ol>\n\n\n\n

      To find the orbital designation, we combine the principal quantum number (n) with the letter corresponding to the angular momentum quantum number (l). With n = 5 and l = 3 (which corresponds to ‘f’), the orbital designation is\u00a05f<\/strong>. This represents the 5f subshell, which contains seven distinct orbitals.<\/p>\n\n\n\n

      \"\"<\/figure>\n","protected":false},"excerpt":{"rendered":"

      What is the orbital designation for electrons with the following quantum numbers? Orbital n \/ m 5 3 -3 to 3 Question Help:Read Message instructor Calculator Submit Question The Correct Answer and Explanation is: Correct Answer: 5f Explanation The orbital designation for an electron is determined by its principal quantum number (n) and its angular momentum […]<\/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-242577","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242577","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=242577"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/242577\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=242577"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=242577"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=242577"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}