{"id":3542,"date":"2023-02-05T06:50:36","date_gmt":"2023-02-05T06:50:36","guid":{"rendered":"https:\/\/10thclass.deltapublications.in\/?page_id=3542"},"modified":"2024-12-18T14:52:03","modified_gmt":"2024-12-18T14:52:03","slug":"s-18-f-quantum-numbers","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/s-18-f-quantum-numbers\/","title":{"rendered":"S-18.f Quantum Numbers"},"content":{"rendered":"\n<h2 class=\"wp-block-heading has-text-align-center has-text-color\" style=\"color:#00056d;text-transform:uppercase\"><strong>Quantum Numbers<\/strong><\/h2>\n\n\n\n<p class=\"has-text-color has-link-color has-huge-font-size wp-elements-f79afd6ea8b322268468366b8e5f7cc7\" style=\"color:#74008b\"><strong>Key Notes:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<h4 class=\"wp-block-heading has-text-align-center has-background\" style=\"background-color:#dfc816\"><strong>Introduction<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Quantum Numbers<\/strong> are numerical values that describe the properties of electrons in an atom.<\/li>\n\n\n\n<li>They provide information about the <strong>energy, position, orientation, and spin<\/strong> of electrons.<\/li>\n\n\n\n<li>There are <strong>four types of quantum numbers<\/strong>.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-background\" style=\"background-color:#dfc816\"><strong>Types of Quantum Numbers<\/strong><\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Principal Quantum Number (n)<\/strong>\n<ul class=\"wp-block-list\">\n<li>Represents the <strong>energy level<\/strong> or <strong>shell<\/strong> of an electron.<\/li>\n\n\n\n<li>Determines the size and energy of the orbital.<\/li>\n\n\n\n<li>Possible values: n=1,2,3,\u2026<\/li>\n\n\n\n<li><strong>Higher n<\/strong> means:\n<ul class=\"wp-block-list\">\n<li>Higher energy.<\/li>\n\n\n\n<li>Larger orbital.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Azimuthal Quantum Number (l)<\/strong>\n<ul class=\"wp-block-list\">\n<li>Also called the <strong>orbital angular momentum quantum number<\/strong>.<\/li>\n\n\n\n<li>Determines the <strong>shape<\/strong> of the orbital.<\/li>\n\n\n\n<li>Depends on n: l=0,1,2,\u2026,(n\u22121)<\/li>\n\n\n\n<li>Orbital shapes:\n<ul class=\"wp-block-list\">\n<li>l=0: <strong>s-orbital (spherical)<\/strong>.<\/li>\n\n\n\n<li>l=1 <strong>p-orbital (dumbbell-shaped)<\/strong>.<\/li>\n\n\n\n<li>l = 2: <strong>d-orbital (complex shapes)<\/strong>.<\/li>\n\n\n\n<li>l = 3: <strong>f-orbital (more complex shapes)<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Magnetic Quantum Number (m\u2097)<\/strong>\n<ul class=\"wp-block-list\">\n<li>Describes the <strong>orientation<\/strong> of the orbital in space.<\/li>\n\n\n\n<li>Depends on l: m\u2097=-l to +l (including 0).<\/li>\n\n\n\n<li>Example: For l = 1 (p-orbital), m\u2097=\u22121,0,+1 representing the three orientations (px, py, pz).<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Spin Quantum Number (msm_s)<\/strong>\n<ul class=\"wp-block-list\">\n<li>Describes the <strong>spin<\/strong> of the electron.<\/li>\n\n\n\n<li>Can have only two possible values:\n<ul class=\"wp-block-list\">\n<li>m\u209b=+\u00bd: <strong>Spin-up<\/strong>.<\/li>\n\n\n\n<li>m\u209b= -\u00bd:<strong>Spin-down<\/strong>.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">3. <strong>Summary Table<\/strong><\/h4>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>Quantum Number<\/th><th>Symbol<\/th><th>Represents<\/th><th>Possible Values<\/th><\/tr><\/thead><tbody><tr><td>Principal<\/td><td>n<\/td><td>Energy level (shell)<\/td><td>1,2,3,\u2026<\/td><\/tr><tr><td>Azimuthal<\/td><td>l<\/td><td>Shape of the orbital<\/td><td>0,1,\u2026,(n\u22121)<\/td><\/tr><tr><td>Magnetic<\/td><td>m\u2097<\/td><td>Orientation of the orbital<\/td><td>-l to +l<\/td><\/tr><tr><td>Spin<\/td><td>m\u209b<\/td><td>Electron spin direction<\/td><td>-\u00bd,+\u00bd<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-text-color has-background has-link-color wp-elements-fc3d4b036da56f5fb1b50c50f9990a30\" style=\"color:#000060;background-color:#dfc816\"><strong>Importance of Quantum Numbers<\/strong><\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Describe Electron Configuration<\/strong>\n<ul class=\"wp-block-list\">\n<li>Help in predicting how electrons are arranged in an atom.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Explain Chemical Properties<\/strong>\n<ul class=\"wp-block-list\">\n<li>Determine the reactivity and bonding of elements.<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Define Orbital Shapes and Energy<\/strong>\n<ul class=\"wp-block-list\">\n<li>Allow scientists to visualize electron clouds and predict atomic behavior.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n\n\n\n<h4 class=\"wp-block-heading has-text-align-center has-text-color has-background has-link-color wp-elements-3ba1d5966655fef3efd52fd6d4019851\" style=\"color:#000060;background-color:#dfc816\"><strong>Real-World Example<\/strong><\/h4>\n\n\n\n<p>For an electron in the 2p orbital:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>n = 2: Second energy level.<\/li>\n\n\n\n<li>l = 1: p-orbital shape.<\/li>\n\n\n\n<li>m\u2097=\u22121,0,+1: Three orientations (px, py, pz).<\/li>\n\n\n\n<li>m\u209b=-\u00bd or+\u00bd: Spin-up or spin-down.<\/li>\n<\/ul>\n\n\n\n<div class=\"wp-block-group has-large-font-size\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-block-group-is-layout-constrained\">\n<p class=\"has-text-color\" style=\"color:#d90000\"><strong>Let&#8217;s practice!<\/strong><\/p>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/83085\/087\/478\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-3-83.png\" alt=\"\" class=\"wp-image-5695\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-3-83.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-3-83-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-3-83-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/wordwall.net\/play\/81518\/134\/572\"><img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"500\" src=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-2-82.png\" alt=\"\" class=\"wp-image-5696\" srcset=\"https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-2-82.png 500w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-2-82-300x300.png 300w, https:\/\/10thclass.deltapublications.in\/wp-content\/uploads\/2023\/03\/Worksheet-1-1-2-82-150x150.png 150w\" sizes=\"auto, (max-width: 500px) 100vw, 500px\" \/><\/a><\/figure>\n<\/div>\n<\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Quantum Numbers Key Notes: Introduction Types of Quantum Numbers 3. Summary Table Quantum Number Symbol Represents Possible Values Principal n Energy level (shell) 1,2,3,\u2026 Azimuthal l Shape of the orbital 0,1,\u2026,(n\u22121) Magnetic m\u2097 Orientation of the orbital -l to +l Spin m\u209b Electron spin direction -\u00bd,+\u00bd Importance of Quantum Numbers Real-World Example For an electron<a class=\"more-link\" href=\"https:\/\/10thclass.deltapublications.in\/index.php\/s-18-f-quantum-numbers\/\">Continue reading <span class=\"screen-reader-text\">&#8220;S-18.f Quantum Numbers&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"class_list":["post-3542","page","type-page","status-publish","hentry","entry"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3542","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/comments?post=3542"}],"version-history":[{"count":13,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3542\/revisions"}],"predecessor-version":[{"id":15418,"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/pages\/3542\/revisions\/15418"}],"wp:attachment":[{"href":"https:\/\/10thclass.deltapublications.in\/index.php\/wp-json\/wp\/v2\/media?parent=3542"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}