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Spin - Wikipedia, a enciclopedia libre
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type="application/rsd+xml" href="//gl.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://gl.wikipedia.org/wiki/Spin"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.gl"> <link rel="alternate" type="application/atom+xml" title="Fonte Atom de novas de Wikipedia" href="/w/index.php?title=Especial:Cambios_recentes&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Spin rootpage-Spin skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Saltar ao contido</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Sitio"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Menú principal" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Menú principal</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Menú principal</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">mover á barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">agochar</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navegación </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage-description" class="mw-list-item"><a href="/wiki/Portada" title="Visitar a páxina principal [z]" accesskey="z"><span>Portada</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikipedia:Portal_da_comunidade" title="Información acerca do proxecto, do que pode facer e dos lugares onde atopar as cousas"><span>Portal da comunidade</span></a></li><li id="n-A-Taberna" class="mw-list-item"><a href="/wiki/Wikipedia:A_Taberna"><span>A Taberna</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/Wikipedia:Actualidade" title="Información acerca de acontecementos de actualidade"><span>Actualidade</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/Especial:Cambios_recentes" title="A lista de modificacións recentes no wiki [r]" accesskey="r"><span>Cambios recentes</span></a></li><li id="n-Artigos-de-calidade" class="mw-list-item"><a href="/wiki/Wikipedia:Artigos_de_calidade"><span>Artigos de calidade</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/Especial:Ao_chou" title="Cargar unha páxina ao chou [x]" accesskey="x"><span>Páxina ao chou</span></a></li><li id="n-help" class="mw-list-item"><a href="/wiki/Wikipedia:Axuda" title="O lugar para informarse"><span>Axuda</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Portada" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipedia" src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" style="width: 7.5em; height: 1.125em;"> <img class="mw-logo-tagline" alt="a Wikipedia en galego" src="/static/images/mobile/copyright/wikipedia-tagline-gl.svg" width="118" height="13" style="width: 7.375em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/Especial:Procurar" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Procurar neste wiki [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Procura</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Procurar en Wikipedia" aria-label="Procurar en Wikipedia" autocapitalize="sentences" title="Procurar neste wiki [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Especial:Procurar"> </div> <button class="cdx-button cdx-search-input__end-button">Procurar</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Ferramentas persoais"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Aparencia"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Cambia a aparencia do tamaño da fonte, o ancho e a cor da páxina" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Aparencia" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Aparencia</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_gl.wikipedia.org&uselang=gl" class=""><span>Doazóns</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Especial:Crear_unha_conta&returnto=Spin" title="É recomendable que cree unha conta e acceda ao sistema, se ben non é obrigatorio" class=""><span>Crear unha conta</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=Especial:Iniciar_sesi%C3%B3n&returnto=Spin" title="É recomendable que se rexistre, se ben non é obrigatorio [o]" accesskey="o" class=""><span>Acceder ao sistema</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Máis opcións" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Ferramentas persoais" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Ferramentas persoais</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Menú de usuario" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_gl.wikipedia.org&uselang=gl"><span>Doazóns</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Crear_unha_conta&returnto=Spin" title="É recomendable que cree unha conta e acceda ao sistema, se ben non é obrigatorio"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Crear unha conta</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=Especial:Iniciar_sesi%C3%B3n&returnto=Spin" title="É recomendable que se rexistre, se ben non é obrigatorio [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Acceder ao sistema</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Páxinas para os editores sen a sesión iniciada <a href="/wiki/Axuda:Introduci%C3%B3n" aria-label="Máis información sobre a edición"><span>máis información</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/Especial:As_mi%C3%B1as_contribuci%C3%B3ns" title="Unha lista das modificacións feitas desde este enderezo IP [y]" accesskey="y"><span>Contribucións</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/Especial:A_mi%C3%B1a_conversa" title="Conversa acerca de edicións feitas desde este enderezo IP [n]" accesskey="n"><span>Conversa</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><!-- CentralNotice --></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Sitio"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Contidos" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Contidos</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">mover á barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">agochar</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Inicio</div> </a> </li> <li id="toc-Introdución" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Introdución"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Introdución</span> </div> </a> <ul id="toc-Introdución-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Propiedades_do_spin" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Propiedades_do_spin"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Propiedades do spin</span> </div> </a> <ul id="toc-Propiedades_do_spin-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Aplicacións_ás_novas_tecnoloxías_ou_a_tecnoloxías_futuras" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Aplicacións_ás_novas_tecnoloxías_ou_a_tecnoloxías_futuras"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Aplicacións ás novas tecnoloxías ou a tecnoloxías futuras</span> </div> </a> <button aria-controls="toc-Aplicacións_ás_novas_tecnoloxías_ou_a_tecnoloxías_futuras-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Mostrar ou agochar a subsección "Aplicacións ás novas tecnoloxías ou a tecnoloxías futuras"</span> </button> <ul id="toc-Aplicacións_ás_novas_tecnoloxías_ou_a_tecnoloxías_futuras-sublist" class="vector-toc-list"> <li id="toc-Magnetorresistencia_e_láser" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Magnetorresistencia_e_láser"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.1</span> <span>Magnetorresistencia e láser</span> </div> </a> <ul id="toc-Magnetorresistencia_e_láser-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Spintrónica_e_computación_cuántica" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Spintrónica_e_computación_cuántica"> <div class="vector-toc-text"> <span class="vector-toc-numb">3.2</span> <span>Spintrónica e computación cuántica</span> </div> </a> <ul id="toc-Spintrónica_e_computación_cuántica-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Notas" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Notas"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Notas</span> </div> </a> <ul id="toc-Notas-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Véxase_tamén" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Véxase_tamén"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Véxase tamén</span> </div> </a> <button aria-controls="toc-Véxase_tamén-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Mostrar ou agochar a subsección "Véxase tamén"</span> </button> <ul id="toc-Véxase_tamén-sublist" class="vector-toc-list"> <li id="toc-Ligazóns_externas" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Ligazóns_externas"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>Ligazóns externas</span> </div> </a> <ul id="toc-Ligazóns_externas-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contidos" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Mostrar ou agochar a táboa de contidos" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Mostrar ou agochar a táboa de contidos</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Spin</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Ir a un artigo noutra lingua. Dispoñible en 73 linguas" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-73" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">73 linguas</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Spin_(fisika)" title="Spin (fisika) – afrikaans" lang="af" hreflang="af" data-title="Spin (fisika)" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Spin" title="Spin – alemán suízo" lang="gsw" hreflang="gsw" data-title="Spin" data-language-autonym="Alemannisch" data-language-local-name="alemán suízo" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%84%D9%81_(%D9%81%D9%8A%D8%B2%D9%8A%D8%A7%D8%A1)" title="لف (فيزياء) – árabe" lang="ar" hreflang="ar" data-title="لف (فيزياء)" data-language-autonym="العربية" data-language-local-name="árabe" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Esp%C3%ADn" title="Espín – asturiano" lang="ast" hreflang="ast" data-title="Espín" data-language-autonym="Asturianu" data-language-local-name="asturiano" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Spin_(fizika)" title="Spin (fizika) – acerbaixano" lang="az" hreflang="az" data-title="Spin (fizika)" data-language-autonym="Azərbaycanca" data-language-local-name="acerbaixano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A1%D0%BF%D1%96%D0%BD" title="Спін – belaruso" lang="be" hreflang="be" data-title="Спін" data-language-autonym="Беларуская" data-language-local-name="belaruso" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D0%BD" title="Спин – búlgaro" lang="bg" hreflang="bg" data-title="Спин" data-language-autonym="Български" data-language-local-name="búlgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A7%8D%E0%A6%AA%E0%A6%BF%E0%A6%A8_(%E0%A6%AA%E0%A6%A6%E0%A6%BE%E0%A6%B0%E0%A7%8D%E0%A6%A5%E0%A6%AC%E0%A6%BF%E0%A6%9C%E0%A7%8D%E0%A6%9E%E0%A6%BE%E0%A6%A8)" title="স্পিন (পদার্থবিজ্ঞান) – bengalí" lang="bn" hreflang="bn" data-title="স্পিন (পদার্থবিজ্ঞান)" data-language-autonym="বাংলা" data-language-local-name="bengalí" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Spin" title="Spin – bosníaco" lang="bs" hreflang="bs" data-title="Spin" data-language-autonym="Bosanski" data-language-local-name="bosníaco" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Esp%C3%ADn" title="Espín – catalán" lang="ca" hreflang="ca" data-title="Espín" data-language-autonym="Català" data-language-local-name="catalán" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Spin" title="Spin – checo" lang="cs" hreflang="cs" data-title="Spin" data-language-autonym="Čeština" data-language-local-name="checo" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Spin_(fysik)" title="Spin (fysik) – dinamarqués" lang="da" hreflang="da" data-title="Spin (fysik)" data-language-autonym="Dansk" data-language-local-name="dinamarqués" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Spin" title="Spin – alemán" lang="de" hreflang="de" data-title="Spin" data-language-autonym="Deutsch" data-language-local-name="alemán" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A3%CF%80%CE%B9%CE%BD" title="Σπιν – grego" lang="el" hreflang="el" data-title="Σπιν" data-language-autonym="Ελληνικά" data-language-local-name="grego" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Spin_(physics)" title="Spin (physics) – inglés" lang="en" hreflang="en" data-title="Spin (physics)" data-language-autonym="English" data-language-local-name="inglés" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Spino_(fiziko)" title="Spino (fiziko) – esperanto" lang="eo" hreflang="eo" data-title="Spino (fiziko)" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Esp%C3%ADn" title="Espín – español" lang="es" hreflang="es" data-title="Espín" data-language-autonym="Español" data-language-local-name="español" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Spinn" title="Spinn – estoniano" lang="et" hreflang="et" data-title="Spinn" data-language-autonym="Eesti" data-language-local-name="estoniano" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Spin" title="Spin – éuscaro" lang="eu" hreflang="eu" data-title="Spin" data-language-autonym="Euskara" data-language-local-name="éuscaro" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%B3%D9%BE%DB%8C%D9%86" title="اسپین – persa" lang="fa" hreflang="fa" data-title="اسپین" data-language-autonym="فارسی" data-language-local-name="persa" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Spin" title="Spin – finés" lang="fi" hreflang="fi" data-title="Spin" data-language-autonym="Suomi" data-language-local-name="finés" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Spin" title="Spin – francés" lang="fr" hreflang="fr" data-title="Spin" data-language-autonym="Français" data-language-local-name="francés" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Guairne" title="Guairne – irlandés" lang="ga" hreflang="ga" data-title="Guairne" data-language-autonym="Gaeilge" data-language-local-name="irlandés" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gu mw-list-item"><a href="https://gu.wikipedia.org/wiki/%E0%AA%AA%E0%AB%8D%E0%AA%B0%E0%AA%9A%E0%AA%95%E0%AB%8D%E0%AA%B0%E0%AA%A3" title="પ્રચક્રણ – guxarati" lang="gu" hreflang="gu" data-title="પ્રચક્રણ" data-language-autonym="ગુજરાતી" data-language-local-name="guxarati" class="interlanguage-link-target"><span>ગુજરાતી</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A1%D7%A4%D7%99%D7%9F_(%D7%A4%D7%99%D7%96%D7%99%D7%A7%D7%94)" title="ספין (פיזיקה) – hebreo" lang="he" hreflang="he" data-title="ספין (פיזיקה)" data-language-autonym="עברית" data-language-local-name="hebreo" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AA%E0%A5%8D%E0%A4%B0%E0%A4%9A%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%A3_(%E0%A4%AD%E0%A5%8C%E0%A4%A4%E0%A4%BF%E0%A4%95%E0%A5%80)" title="प्रचक्रण (भौतिकी) – hindi" lang="hi" hreflang="hi" data-title="प्रचक्रण (भौतिकी)" data-language-autonym="हिन्दी" data-language-local-name="hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Spin" title="Spin – croata" lang="hr" hreflang="hr" data-title="Spin" data-language-autonym="Hrvatski" data-language-local-name="croata" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Spin" title="Spin – húngaro" lang="hu" hreflang="hu" data-title="Spin" data-language-autonym="Magyar" data-language-local-name="húngaro" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8D%D5%BA%D5%AB%D5%B6" title="Սպին – armenio" lang="hy" hreflang="hy" data-title="Սպին" data-language-autonym="Հայերեն" data-language-local-name="armenio" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Spin" title="Spin – indonesio" lang="id" hreflang="id" data-title="Spin" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesio" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Vorticeso" title="Vorticeso – ido" lang="io" hreflang="io" data-title="Vorticeso" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Spin" title="Spin – italiano" lang="it" hreflang="it" data-title="Spin" data-language-autonym="Italiano" data-language-local-name="italiano" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%B9%E3%83%94%E3%83%B3%E8%A7%92%E9%81%8B%E5%8B%95%E9%87%8F" title="スピン角運動量 – xaponés" lang="ja" hreflang="ja" data-title="スピン角運動量" data-language-autonym="日本語" data-language-local-name="xaponés" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A1%E1%83%9E%E1%83%98%E1%83%9C%E1%83%98" title="სპინი – xeorxiano" lang="ka" hreflang="ka" data-title="სპინი" data-language-autonym="ქართული" data-language-local-name="xeorxiano" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Asebrin" title="Asebrin – cabila" lang="kab" hreflang="kab" data-title="Asebrin" data-language-autonym="Taqbaylit" data-language-local-name="cabila" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D0%BD" title="Спин – kazako" lang="kk" hreflang="kk" data-title="Спин" data-language-autonym="Қазақша" data-language-local-name="kazako" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%8A%A4%ED%95%80_(%EB%AC%BC%EB%A6%AC%ED%95%99)" title="스핀 (물리학) – coreano" lang="ko" hreflang="ko" data-title="스핀 (물리학)" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D0%BD" title="Спин – kirguiz" lang="ky" hreflang="ky" data-title="Спин" data-language-autonym="Кыргызча" data-language-local-name="kirguiz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Volubilitas_(quantica)" title="Volubilitas (quantica) – latín" lang="la" hreflang="la" data-title="Volubilitas (quantica)" data-language-autonym="Latina" data-language-local-name="latín" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-li mw-list-item"><a href="https://li.wikipedia.org/wiki/Spin_(natuurkunde)" title="Spin (natuurkunde) – limburgués" lang="li" hreflang="li" data-title="Spin (natuurkunde)" data-language-autonym="Limburgs" data-language-local-name="limburgués" class="interlanguage-link-target"><span>Limburgs</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Sukinys" title="Sukinys – lituano" lang="lt" hreflang="lt" data-title="Sukinys" data-language-autonym="Lietuvių" data-language-local-name="lituano" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Spins" title="Spins – letón" lang="lv" hreflang="lv" data-title="Spins" data-language-autonym="Latviešu" data-language-local-name="letón" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D0%BD_(%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0)" title="Спин (физика) – macedonio" lang="mk" hreflang="mk" data-title="Спин (физика)" data-language-autonym="Македонски" data-language-local-name="macedonio" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Spin" title="Spin – malaio" lang="ms" hreflang="ms" data-title="Spin" data-language-autonym="Bahasa Melayu" data-language-local-name="malaio" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%85%E1%80%95%E1%80%84%E1%80%BA" title="စပင် – birmano" lang="my" hreflang="my" data-title="စပင်" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="birmano" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Spin_(kwantummechanica)" title="Spin (kwantummechanica) – neerlandés" lang="nl" hreflang="nl" data-title="Spin (kwantummechanica)" data-language-autonym="Nederlands" data-language-local-name="neerlandés" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Spinn" title="Spinn – noruegués nynorsk" lang="nn" hreflang="nn" data-title="Spinn" data-language-autonym="Norsk nynorsk" data-language-local-name="noruegués nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Spinn" title="Spinn – noruegués bokmål" lang="nb" hreflang="nb" data-title="Spinn" data-language-autonym="Norsk bokmål" data-language-local-name="noruegués bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Espin" title="Espin – occitano" lang="oc" hreflang="oc" data-title="Espin" data-language-autonym="Occitan" data-language-local-name="occitano" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A8%AA%E0%A8%BF%E0%A9%B0%E0%A8%A8_(%E0%A8%AD%E0%A9%8C%E0%A8%A4%E0%A8%BF%E0%A8%95_%E0%A8%B5%E0%A8%BF%E0%A8%97%E0%A8%BF%E0%A8%86%E0%A8%A8)" title="ਸਪਿੰਨ (ਭੌਤਿਕ ਵਿਗਿਆਨ) – panxabí" lang="pa" hreflang="pa" data-title="ਸਪਿੰਨ (ਭੌਤਿਕ ਵਿਗਿਆਨ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="panxabí" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Spin_(fizyka)" title="Spin (fizyka) – polaco" lang="pl" hreflang="pl" data-title="Spin (fizyka)" data-language-autonym="Polski" data-language-local-name="polaco" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Spin" title="Spin – portugués" lang="pt" hreflang="pt" data-title="Spin" data-language-autonym="Português" data-language-local-name="portugués" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Spin_(fizic%C4%83)" title="Spin (fizică) – romanés" lang="ro" hreflang="ro" data-title="Spin (fizică)" data-language-autonym="Română" data-language-local-name="romanés" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D0%BD" title="Спин – ruso" lang="ru" hreflang="ru" data-title="Спин" data-language-autonym="Русский" data-language-local-name="ruso" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Spin" title="Spin – serbocroata" lang="sh" hreflang="sh" data-title="Spin" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbocroata" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Spin_(physics)" title="Spin (physics) – Simple English" lang="en-simple" hreflang="en-simple" data-title="Spin (physics)" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Spin_(fyzika)" title="Spin (fyzika) – eslovaco" lang="sk" hreflang="sk" data-title="Spin (fyzika)" data-language-autonym="Slovenčina" data-language-local-name="eslovaco" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Spin" title="Spin – esloveno" lang="sl" hreflang="sl" data-title="Spin" data-language-autonym="Slovenščina" data-language-local-name="esloveno" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Spini" title="Spini – albanés" lang="sq" hreflang="sq" data-title="Spini" data-language-autonym="Shqip" data-language-local-name="albanés" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A1%D0%BF%D0%B8%D0%BD" title="Спин – serbio" lang="sr" hreflang="sr" data-title="Спин" data-language-autonym="Српски / srpski" data-language-local-name="serbio" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-su mw-list-item"><a href="https://su.wikipedia.org/wiki/Spin_(fisika)" title="Spin (fisika) – sundanés" lang="su" hreflang="su" data-title="Spin (fisika)" data-language-autonym="Sunda" data-language-local-name="sundanés" class="interlanguage-link-target"><span>Sunda</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Spinn" title="Spinn – sueco" lang="sv" hreflang="sv" data-title="Spinn" data-language-autonym="Svenska" data-language-local-name="sueco" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%9A%E0%AF%81%E0%AE%B4%E0%AE%B1%E0%AF%8D%E0%AE%9A%E0%AE%BF_(%E0%AE%87%E0%AE%AF%E0%AE%B1%E0%AF%8D%E0%AE%AA%E0%AE%BF%E0%AE%AF%E0%AE%B2%E0%AF%8D)" title="சுழற்சி (இயற்பியல்) – támil" lang="ta" hreflang="ta" data-title="சுழற்சி (இயற்பியல்)" data-language-autonym="தமிழ்" data-language-local-name="támil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AA%E0%B8%9B%E0%B8%B4%E0%B8%99_(%E0%B8%9F%E0%B8%B4%E0%B8%AA%E0%B8%B4%E0%B8%81%E0%B8%AA%E0%B9%8C)" title="สปิน (ฟิสิกส์) – tailandés" lang="th" hreflang="th" data-title="สปิน (ฟิสิกส์)" data-language-autonym="ไทย" data-language-local-name="tailandés" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Spin_(fizik)" title="Spin (fizik) – turco" lang="tr" hreflang="tr" data-title="Spin (fizik)" data-language-autonym="Türkçe" data-language-local-name="turco" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-tt mw-list-item"><a href="https://tt.wikipedia.org/wiki/Spin" title="Spin – tártaro" lang="tt" hreflang="tt" data-title="Spin" data-language-autonym="Татарча / tatarça" data-language-local-name="tártaro" class="interlanguage-link-target"><span>Татарча / tatarça</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A1%D0%BF%D1%96%D0%BD" title="Спін – ucraíno" lang="uk" hreflang="uk" data-title="Спін" data-language-autonym="Українська" data-language-local-name="ucraíno" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%BA%D8%B2%D9%84_(%D8%B7%D8%A8%DB%8C%D8%B9%DB%8C%D8%A7%D8%AA)" title="غزل (طبیعیات) – urdú" lang="ur" hreflang="ur" data-title="غزل (طبیعیات)" data-language-autonym="اردو" data-language-local-name="urdú" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Spin" title="Spin – vietnamita" lang="vi" hreflang="vi" data-title="Spin" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamita" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E8%87%AA%E6%97%8B" title="自旋 – chinés wu" lang="wuu" hreflang="wuu" data-title="自旋" data-language-autonym="吴语" data-language-local-name="chinés wu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%87%AA%E6%97%8B" title="自旋 – chinés" lang="zh" hreflang="zh" data-title="自旋" data-language-autonym="中文" data-language-local-name="chinés" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Spin" title="Spin – Minnan" lang="nan" hreflang="nan" data-title="Spin" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="Minnan" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E8%87%AA%E6%97%8B" title="自旋 – cantonés" lang="yue" hreflang="yue" data-title="自旋" data-language-autonym="粵語" data-language-local-name="cantonés" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q133673#sitelinks-wikipedia" title="Editar as ligazóns interlingüísticas" class="wbc-editpage">Editar as ligazóns</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Espazos de nomes"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Spin" title="Ver o contido da páxina [c]" accesskey="c"><span>Artigo</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Conversa:Spin" rel="discussion" title="Conversa acerca do contido desta páxina [t]" accesskey="t"><span>Conversa</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Cambiar a variante de lingua" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">galego</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Vistas"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Spin"><span>Ler</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Spin&veaction=edit" title="Editar esta páxina [v]" accesskey="v"><span>Editar</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Spin&action=edit" title="Editar o código fonte desta páxina [e]" accesskey="e"><span>Editar a fonte</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Spin&action=history" title="Versións anteriores desta páxina [h]" accesskey="h"><span>Ver o historial</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Ferramentas das páxinas"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Ferramentas" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Ferramentas</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Ferramentas</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">mover á barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">agochar</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Máis opcións" > <div class="vector-menu-heading"> Accións </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Spin"><span>Ler</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Spin&veaction=edit" title="Editar esta páxina [v]" accesskey="v"><span>Editar</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Spin&action=edit" title="Editar o código fonte desta páxina [e]" accesskey="e"><span>Editar a fonte</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Spin&action=history"><span>Ver o historial</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Xeral </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/Especial:P%C3%A1xinas_que_ligan_con_esta/Spin" title="Lista de todas as páxinas do wiki que ligan cara a aquí [j]" accesskey="j"><span>Páxinas que ligan con esta</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/Especial:Cambios_relacionados/Spin" rel="nofollow" title="Cambios recentes nas páxinas ligadas desde esta [k]" accesskey="k"><span>Cambios relacionados</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/Especial:P%C3%A1xinas_especiais" title="Lista de todas as páxinas especiais [q]" accesskey="q"><span>Páxinas especiais</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Spin&oldid=6032495" title="Ligazón permanente a esta versión desta páxina"><span>Ligazón permanente</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Spin&action=info" title="Máis información sobre esta páxina"><span>Información da páxina</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=Especial:Cita&page=Spin&id=6032495&wpFormIdentifier=titleform" title="Información sobre como citar esta páxina"><span>Citar esta páxina</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=Especial:UrlShortener&url=https%3A%2F%2Fgl.wikipedia.org%2Fwiki%2FSpin"><span>Xerar URL acurtado</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=Especial:QrCode&url=https%3A%2F%2Fgl.wikipedia.org%2Fwiki%2FSpin"><span>Descargar o código QR</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Imprimir/exportar </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=Especial:Libro&bookcmd=book_creator&referer=Spin"><span>Crear un libro</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=Especial:DownloadAsPdf&page=Spin&action=show-download-screen"><span>Descargar como PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Spin&printable=yes" title="Versión para imprimir da páxina [p]" accesskey="p"><span>Versión para imprimir</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> Noutros proxectos </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Spin_(intrinsic_angular_momentum)" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q133673" title="Ligazón ao elemento conectado no repositorio de datos [g]" accesskey="g"><span>Elemento de Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Ferramentas das páxinas"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Aparencia"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Aparencia</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">mover á barra lateral</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">agochar</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Na Galipedia, a Wikipedia en galego.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="gl" dir="ltr"><figure typeof="mw:File/Thumb"><a href="/wiki/Ficheiro:%22Father%22_and_%22Mother%22_of_the_series_%22Spin_Family%22.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/%22Father%22_and_%22Mother%22_of_the_series_%22Spin_Family%22.jpg/300px-%22Father%22_and_%22Mother%22_of_the_series_%22Spin_Family%22.jpg" decoding="async" width="300" height="217" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/%22Father%22_and_%22Mother%22_of_the_series_%22Spin_Family%22.jpg/450px-%22Father%22_and_%22Mother%22_of_the_series_%22Spin_Family%22.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/93/%22Father%22_and_%22Mother%22_of_the_series_%22Spin_Family%22.jpg/600px-%22Father%22_and_%22Mother%22_of_the_series_%22Spin_Family%22.jpg 2x" data-file-width="1200" data-file-height="866" /></a><figcaption>Representación artística de dous obxectos, con spín 5/2 e 2, respectivamente.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span>[</span>1<span>]</span></a></sup></figcaption></figure> <p>O <b>spin</b><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span>[</span>2<span>]</span></a></sup> é a propiedade básica das <a href="/wiki/Part%C3%ADcula_subat%C3%B3mica" title="Partícula subatómica">partículas</a> <a href="/wiki/Part%C3%ADcula_elemental" title="Partícula elemental">elementais</a> que determina se as particulas satisfán o <a href="/wiki/Principio_de_exclusi%C3%B3n_de_Pauli" title="Principio de exclusión de Pauli">principio de exclusión de Pauli</a> (daquela son <a href="/wiki/Fermi%C3%B3n" title="Fermión">fermións</a>, seguindo a estatística de <a href="/w/index.php?title=Fermi&action=edit&redlink=1" class="new" title="Fermi (a páxina aínda non existe)">Fermi</a>-<a href="/w/index.php?title=P.A.M.Dirac&action=edit&redlink=1" class="new" title="P.A.M.Dirac (a páxina aínda non existe)">Dirac</a>) ou non (entón son <a href="/wiki/Bos%C3%B3n" title="Bosón">bosóns</a>, satisfacendo a estatística de <a href="/wiki/Estat%C3%ADstica_de_Bose-Einstein" title="Estatística de Bose-Einstein">Bose-Einstein</a>). </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Introdución"><span id="Introduci.C3.B3n"></span>Introdución</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Spin&veaction=edit&section=1" title="Editar a sección: «Introdución»" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Spin&action=edit&section=1" title="Editar o código fonte da sección: Introdución"><span>editar a fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>O <b>spin</b>, en <a href="/wiki/F%C3%ADsica" title="Física">física</a> (do <a href="/wiki/Lingua_inglesa" title="Lingua inglesa">inglés</a> <i>spin</i>, <i>xiro</i>, <i>virar</i>), é unha propiedade das <a href="/wiki/Part%C3%ADcula_subat%C3%B3mica" title="Partícula subatómica">partículas fundamentais</a> (como o é a <a href="/wiki/Masa" title="Masa">masa</a> ou a <a href="/w/index.php?title=Carga&action=edit&redlink=1" class="new" title="Carga (a páxina aínda non existe)">carga</a>), que foi introducido en <a href="/wiki/1925" title="1925">1925</a> por <a href="/w/index.php?title=Ralph_Kronig&action=edit&redlink=1" class="new" title="Ralph Kronig (a páxina aínda non existe)">Ralph Kronig</a>, e, de xeito independente, por <a href="/w/index.php?title=George_Uhlenbeck&action=edit&redlink=1" class="new" title="George Uhlenbeck (a páxina aínda non existe)">George Uhlenbeck</a> e <a href="/w/index.php?title=Samuel_Goudsmit&action=edit&redlink=1" class="new" title="Samuel Goudsmit (a páxina aínda non existe)">Samuel Goudsmit</a>. Os dous físicos descubriron que a teoría cuántica da época non podía explicar algunhas propiedades dos <a href="/wiki/Espectro_electromagn%C3%A9tico" title="Espectro electromagnético">espectros</a> <a href="/wiki/%C3%81tomo" title="Átomo">atómicos</a>; engadindo un número cuántico adicional <i>o spin do electrón</i>, Goudsmit e Uhlenbeck lograron dar unha explicación máis completa dos espectros atómicos. Pronto, o concepto de spin ampliouse a todas as partículas subatómicas, incluídos os <a href="/wiki/Prot%C3%B3n" title="Protón">protones</a>, os <a href="/wiki/Neutr%C3%B3n" title="Neutrón">neutróns</a> e as <a href="/wiki/Antipart%C3%ADcula" title="Antipartícula">antipartículas</a>. </p><p>O spin proporciona unha medida do <a href="/wiki/Momento_angular" title="Momento angular">momento angular</a> intrínseco de devanditas partículas, pero, en contraste coa <a href="/wiki/Mec%C3%A1nica_cl%C3%A1sica" title="Mecánica clásica">mecánica clásica</a>, onde o momento angular asóciase á <a href="/wiki/Rotaci%C3%B3n" title="Rotación">rotación</a> dun obxecto extenso, o spin é un fenómeno exclusivamente <a href="/wiki/Mec%C3%A1nica_cu%C3%A1ntica" title="Mecánica cuántica">cuántico</a>. </p><p>Nas <a href="/wiki/Teor%C3%ADa_cu%C3%A1ntica" title="Teoría cuántica">teorías cuánticas</a> non <a href="/wiki/Teor%C3%ADa_da_relatividade" title="Teoría da relatividade">relativistas</a> o spin debe introducirse de xeito artificial, mentres que nas relativistas aparece de xeito natural. </p> <div class="mw-heading mw-heading2"><h2 id="Propiedades_do_spin">Propiedades do spin</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Spin&veaction=edit&section=2" title="Editar a sección: «Propiedades do spin»" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Spin&action=edit&section=2" title="Editar o código fonte da sección: Propiedades do spin"><span>editar a fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Como propiedade mecanocuántica, o spin presenta unha serie de cualidades que o distinguen do momento angular clásico. Está cuantizado, o que significa que non pode variar de forma gradual, senón que só pode ter valores discretos. Por exemplo, o momento angular de spin dun <a href="/wiki/Electr%C3%B3n" title="Electrón">electrón</a>, se se mide en calquera dirección particular dada por un campo magnético externo, pode resultar unicamente nos valores </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \hbar /2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar /2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74e0713309590b82aed3a8247c30cfdeae9f456b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.631ex; height:2.843ex;" alt="{\displaystyle \hbar /2}"></span></dd></dl> <p>ou </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle -\hbar /2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mo>−<!-- − --></mo> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle -\hbar /2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9e0bc5875fe0b0a5b3cb2fd489159c2c2156bfc1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:5.44ex; height:2.843ex;" alt="{\displaystyle -\hbar /2}"></span></dd></dl> <p>(onde <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \hbar }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de68de3a92517953436c93b5a76461d49160cc41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.306ex; height:2.176ex;" alt="{\displaystyle \hbar }"></span> é a <a href="/wiki/Constante_de_Planck" title="Constante de Planck">constante de Planck</a> dividida entre <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 2\pi }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>2</mn> <mi>π<!-- π --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 2\pi }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/73efd1f6493490b058097060a572606d2c550a06" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.494ex; height:2.176ex;" alt="{\displaystyle 2\pi }"></span>). </p><p>A magnitude do spin (independente da dirección) é única para cada tipo de partícula elemental. Para os electróns, os <a href="/wiki/Prot%C3%B3n" title="Protón">protóns</a> e os <a href="/wiki/Neutr%C3%B3n" title="Neutrón">neutróns</a>, esta magnitude é <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \hbar /2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar /2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/74e0713309590b82aed3a8247c30cfdeae9f456b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.631ex; height:2.843ex;" alt="{\displaystyle \hbar /2}"></span>. En xeral, todos os <a href="/wiki/Fermi%C3%B3n" title="Fermión">fermiones</a> presentan spins "semienteiros", isto é, </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n\cdot \hbar /2}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>⋅<!-- ⋅ --></mo> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mo>/</mo> </mrow> <mn>2</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n\cdot \hbar /2}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/367357bfa21cd130420fc795feafd03c02c97e50" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:6.705ex; height:2.843ex;" alt="{\displaystyle n\cdot \hbar /2}"></span>.</dd></dl> <p>Os <a href="/wiki/Bos%C3%B3n" title="Bosón">bosóns</a> teñen estados de spin "enteiro" (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle n\cdot \hbar }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>n</mi> <mo>⋅<!-- ⋅ --></mo> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n\cdot \hbar }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a045f922e4dbbe3a468ebae2af8c27affa0364e2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:4.38ex; height:2.176ex;" alt="{\displaystyle n\cdot \hbar }"></span>). Así, os <a href="/wiki/Fot%C3%B3n" title="Fotón">fotóns</a> por exemplo teñen spin "unidade" (<span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \hbar }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de68de3a92517953436c93b5a76461d49160cc41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.306ex; height:2.176ex;" alt="{\displaystyle \hbar }"></span>). Algunhas partículas exóticas como o <a href="/wiki/Pi%C3%B3n_(f%C3%ADsica)" title="Pión (física)">pión</a> teñen spin nulo. Os principios da mecánica cuántica indican que os valores do spin limítanse a múltiplos enteiros ou semienteros de <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \hbar }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \hbar }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/de68de3a92517953436c93b5a76461d49160cc41" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.306ex; height:2.176ex;" alt="{\displaystyle \hbar }"></span>), polo menos baixo condicións normais. </p><p>As partículas con spin presentan un <a href="/wiki/Momento_magn%C3%A9tico" title="Momento magnético">momento magnético</a>, recordando a un corpo <a href="/wiki/Carga_el%C3%A9ctrica" title="Carga eléctrica">cargado electricamente</a> en rotación (de aí a orixe do termo: <i>spin</i>, en inglés, significa "virar"). A analoxía pérdese ó ver que o momento magnético de spin existe para partículas sen carga, como o fotón. O <a href="/w/index.php?title=Ferromagnetismo&action=edit&redlink=1" class="new" title="Ferromagnetismo (a páxina aínda non existe)">ferromagnetismo</a> xorde do aliñamento dos spins (e, ocasionalmente, dos <a href="/wiki/Momento_magn%C3%A9tico#Momento_magnético_orbital" title="Momento magnético">momentos magnéticos orbitais</a>) nun sólido. </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \left(\sigma _{x}{\hat {x}}+\sigma _{y}{\hat {y}}+\sigma _{z}{\hat {z}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow> <mo>(</mo> <mrow> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>x</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>x</mi> <mo stretchy="false">^<!-- ^ --></mo> </mover> </mrow> </mrow> <mo>+</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>y</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>y</mi> <mo stretchy="false">^<!-- ^ --></mo> </mover> </mrow> </mrow> <mo>+</mo> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>z</mi> </mrow> </msub> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>z</mi> <mo stretchy="false">^<!-- ^ --></mo> </mover> </mrow> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \left(\sigma _{x}{\hat {x}}+\sigma _{y}{\hat {y}}+\sigma _{z}{\hat {z}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/61d888872bc7e5f17b83f99be890083451ba334f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.005ex; width:18.624ex; height:3.009ex;" alt="{\displaystyle \left(\sigma _{x}{\hat {x}}+\sigma _{y}{\hat {y}}+\sigma _{z}{\hat {z}}\right)}"></span> é o operador spin en forma vectorial sendo <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \sigma _{i}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>i</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \sigma _{i}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/6ab3208a7d0c634ef720e03ff5a9949e8310edc4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.127ex; height:2.009ex;" alt="{\displaystyle \sigma _{i}}"></span> as <a href="/w/index.php?title=Matriz_de_Pauli&action=edit&redlink=1" class="new" title="Matriz de Pauli (a páxina aínda non existe)">matrices de Pauli</a>. </p><p>Por exemplo: Para medir o spin na dirección <i>z</i> (en <a href="/wiki/Coordenadas_cartesianas" class="mw-redirect" title="Coordenadas cartesianas">coordenadas cartesianas</a>) hai dúas autoestados de <b>S</b>. Asígnanse vectores ós spins como segue: </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle |{\uparrow }\rangle =\left\vert {m=+{\frac {1}{2}}}\right\rangle ={\begin{bmatrix}1\\0\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">↑<!-- ↑ --></mo> </mrow> <mo fence="false" stretchy="false">⟩<!-- ⟩ --></mo> <mo>=</mo> <mrow> <mo>|</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>=</mo> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </mrow> <mo>⟩</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>1</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle |{\uparrow }\rangle =\left\vert {m=+{\frac {1}{2}}}\right\rangle ={\begin{bmatrix}1\\0\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/e21d7131187638e4dc2d88f01a545aa36c4179db" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:24.615ex; height:6.176ex;" alt="{\displaystyle |{\uparrow }\rangle =\left\vert {m=+{\frac {1}{2}}}\right\rangle ={\begin{bmatrix}1\\0\end{bmatrix}}}"></span></dd> <dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle |{\downarrow }\rangle =\left\vert {m=-{\frac {1}{2}}}\right\rangle ={\begin{bmatrix}0\\1\end{bmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">↓<!-- ↓ --></mo> </mrow> <mo fence="false" stretchy="false">⟩<!-- ⟩ --></mo> <mo>=</mo> <mrow> <mo>|</mo> <mrow class="MJX-TeXAtom-ORD"> <mi>m</mi> <mo>=</mo> <mo>−<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mn>2</mn> </mfrac> </mrow> </mrow> <mo>⟩</mo> </mrow> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>[</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> </mtr> </mtable> <mo>]</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle |{\downarrow }\rangle =\left\vert {m=-{\frac {1}{2}}}\right\rangle ={\begin{bmatrix}0\\1\end{bmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a0ed609959e6b8e34c8cc94b63327d30a9b7c699" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:24.615ex; height:6.176ex;" alt="{\displaystyle |{\downarrow }\rangle =\left\vert {m=-{\frac {1}{2}}}\right\rangle ={\begin{bmatrix}0\\1\end{bmatrix}}}"></span></dd></dl> <p>entón o operador correspondente en devandita representación será </p> <dl><dd><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle S_{z}={\frac {\hbar }{2}}\sigma _{z}={\frac {\hbar }{2}}{\begin{pmatrix}-1&0\\0&-1\end{pmatrix}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>S</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>z</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> <mn>2</mn> </mfrac> </mrow> <msub> <mi>σ<!-- σ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mi>z</mi> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> <mn>2</mn> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mrow> <mo>(</mo> <mtable rowspacing="4pt" columnspacing="1em"> <mtr> <mtd> <mo>−<!-- − --></mo> <mn>1</mn> </mtd> <mtd> <mn>0</mn> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mo>−<!-- − --></mo> <mn>1</mn> </mtd> </mtr> </mtable> <mo>)</mo> </mrow> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle S_{z}={\frac {\hbar }{2}}\sigma _{z}={\frac {\hbar }{2}}{\begin{pmatrix}-1&0\\0&-1\end{pmatrix}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/814001b47e0f83098a1fa07f01a7098b6c3943c2" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.505ex; width:27.674ex; height:6.176ex;" alt="{\displaystyle S_{z}={\frac {\hbar }{2}}\sigma _{z}={\frac {\hbar }{2}}{\begin{pmatrix}-1&0\\0&-1\end{pmatrix}}}"></span></dd></dl> <p>En representación matricial o operador actúa cos vectores de dirección chamados "<a href="/w/index.php?title=Espinor&action=edit&redlink=1" class="new" title="Espinor (a páxina aínda non existe)">espinores</a>". </p> <div class="mw-heading mw-heading2"><h2 id="Aplicacións_ás_novas_tecnoloxías_ou_a_tecnoloxías_futuras"><span id="Aplicaci.C3.B3ns_.C3.A1s_novas_tecnolox.C3.ADas_ou_a_tecnolox.C3.ADas_futuras"></span>Aplicacións ás novas tecnoloxías ou a tecnoloxías futuras</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Spin&veaction=edit&section=3" title="Editar a sección: «Aplicacións ás novas tecnoloxías ou a tecnoloxías futuras»" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Spin&action=edit&section=3" title="Editar o código fonte da sección: Aplicacións ás novas tecnoloxías ou a tecnoloxías futuras"><span>editar a fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Magnetorresistencia_e_láser"><span id="Magnetorresistencia_e_l.C3.A1ser"></span>Magnetorresistencia e láser</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Spin&veaction=edit&section=4" title="Editar a sección: «Magnetorresistencia e láser»" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Spin&action=edit&section=4" title="Editar o código fonte da sección: Magnetorresistencia e láser"><span>editar a fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Na actualidade, a <a href="/wiki/Microelectr%C3%B3nica" title="Microelectrónica">microelectrónica</a> atopa aplicacións a certas propiedades ou efectos derivados da natureza do spin, como é o caso da <a href="/w/index.php?title=Magnetorresistencia&action=edit&redlink=1" class="new" title="Magnetorresistencia (a páxina aínda non existe)">magnetorresistencia</a> (MR) ou a <a href="/w/index.php?title=Magnetorresistencia_xigante&action=edit&redlink=1" class="new" title="Magnetorresistencia xigante (a páxina aínda non existe)">magnetorresistencia xigante</a> (MRG) que se aproveita nos <a href="/wiki/Disco_duro" class="mw-redirect" title="Disco duro">discos duros</a>. </p><p>Pódese ver o funcionamento dos <a href="/wiki/L%C3%A1ser" title="Láser">láseres</a> como outra aplicación das propiedades do spin. No caso dos <a href="/wiki/Bos%C3%B3n" title="Bosón">bosones</a> pódese forzar a un sistema de bosóns a posicionarse no mesmo estado cuántico. Este é o principio fundamental do funcionamento dun láser no que os <a href="/wiki/Fot%C3%B3n" title="Fotón">fotóns</a>, partículas de spin enteiro, dispóñense no mesmo estado cuántico producindo trens de onda en fase. </p> <div class="mw-heading mw-heading3"><h3 id="Spintrónica_e_computación_cuántica"><span id="Spintr.C3.B3nica_e_computaci.C3.B3n_cu.C3.A1ntica"></span>Spintrónica e computación cuántica</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Spin&veaction=edit&section=5" title="Editar a sección: «Spintrónica e computación cuántica»" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Spin&action=edit&section=5" title="Editar o código fonte da sección: Spintrónica e computación cuántica"><span>editar a fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Ó uso, presente e futuro, de tecnoloxía que aproveita propiedades específicas dos spins ou que busca a manipulación de spins individuais para ir máis aló das actuais capacidades da <a href="/wiki/Electr%C3%B3nica" title="Electrónica">electrónica</a> coñéceselle como <a href="/w/index.php?title=Spintr%C3%B3nica&action=edit&redlink=1" class="new" title="Spintrónica (a páxina aínda non existe)">spintrónica</a>. </p><p>Tamén se está a investigar a posibilidade de aproveitar as propiedades do spin para futuras <a href="/w/index.php?title=Computaci%C3%B3n_cu%C3%A1ntica&action=edit&redlink=1" class="new" title="Computación cuántica (a páxina aínda non existe)">computadoras cuánticas</a>, nos que o spin dun sistema illado poida servir como <a href="/w/index.php?title=Qubit&action=edit&redlink=1" class="new" title="Qubit (a páxina aínda non existe)">qubit</a> ou bit cuántico. </p> <div class="mw-heading mw-heading2"><h2 id="Notas">Notas</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Spin&veaction=edit&section=6" title="Editar a sección: «Notas»" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Spin&action=edit&section=6" title="Editar o código fonte da sección: Notas"><span>editar a fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="reflist" style="list-style-type: decimal;"> <ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><cite class="citation journal">Ball, Philip (2009). <a rel="nofollow" class="external text" href="http://www.nature.com/nature/journal/v462/n7272/pdf/462416a.pdf">"Quantum objects on show"</a> <span style="font-size:85%;">(PDF)</span>. <i>Nature</i> <b>462</b> (7272): 416. <a href="/wiki/Digital_object_identifier" title="Digital object identifier">doi</a>:<a rel="nofollow" class="external text" href="https://dx.doi.org/10.1038%2F462416a">10.1038/462416a</a><span class="reference-accessdate">. Consultado o 12 de xaneiro de 2009</span>.</cite><span title="ctx_ver=Z39.88-2004&rfr_id=info%3Asid%2Fgl.wikipedia.org%3ASpin&rft.atitle=Quantum+objects+on+show&rft.aufirst=Philip&rft.aulast=Ball&rft.date=2009&rft.genre=article&rft.issue=7272&rft.jtitle=Nature&rft.pages=416&rft.volume=462&rft_id=http%3A%2F%2Fwww.nature.com%2Fnature%2Fjournal%2Fv462%2Fn7272%2Fpdf%2F462416a.pdf&rft_id=info%3Adoi%2F10.1038%2F462416a&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal" class="Z3988"><span style="display:none;"> </span></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text">Definicións no <a rel="nofollow" class="external text" href="http://academia.gal/dicionario/-/termo/spin"><i>Dicionario da Real Academia Galega</i></a> e no <a rel="nofollow" class="external text" href="http://portaldaspalabras.gal/dicionario/procura/spin">Portal das Palabras</a> para <i>spin</i>. Consultado o 07-08-2017.</span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Véxase_tamén"><span id="V.C3.A9xase_tam.C3.A9n"></span>Véxase tamén</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Spin&veaction=edit&section=7" title="Editar a sección: «Véxase tamén»" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Spin&action=edit&section=7" title="Editar o código fonte da sección: Véxase tamén"><span>editar a fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Ligazóns_externas"><span id="Ligaz.C3.B3ns_externas"></span>Ligazóns externas</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Spin&veaction=edit&section=8" title="Editar a sección: «Ligazóns externas»" class="mw-editsection-visualeditor"><span>editar</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Spin&action=edit&section=8" title="Editar o código fonte da sección: Ligazóns externas"><span>editar a fonte</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="http://www.sc.ehu.es/sbweb/fisica/cuantica/sternGerlach/sternGerlach.htm">O spin do electrón</a> <i>(en <a href="/wiki/Lingua_castel%C3%A1" title="Lingua castelá">castelán</a>)</i></li></ul> <div role="navigation" class="navbox" aria-labelledby="Control_de_autoridades" style="padding:3px"><table class="nowraplinks hlist navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th id="Control_de_autoridades" scope="row" class="navbox-group" style="width:1%;width: 12%; text-align:center;"><a href="/wiki/Axuda:Control_de_autoridades" title="Axuda:Control de autoridades">Control de autoridades</a></th><td class="navbox-list navbox-odd plainlinks" 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text" href="https://www.britannica.com/science/spin-atomic-physics">ID</a></span></span></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Gemeinsame_Normdatei" title="Gemeinsame Normdatei">GND</a>: <span class="uid"><span class="plainlinks"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/4125988-9">4125988-9</a></span></span></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/JSTOR" title="JSTOR">JSTOR</a>: <span class="uid"><span class="plainlinks"><a rel="nofollow" class="external text" href="https://web.archive.org/web/*/https://www.jstor.org/topic/particle-spin">particle-spin</a></span></span></span></li> <li><span style="white-space:nowrap;">MAG: <span class="uid"><span class="plainlinks"><a rel="nofollow" class="external text" href="https://web.archive.org/web/*/https://academic.microsoft.com/v2/detail/53926316">53926316</a></span></span></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Biblioteca_Nacional_da_Dieta" title="Biblioteca Nacional da Dieta">NDL</a>: <span class="uid"><span class="plainlinks"><a rel="nofollow" class="external text" href="https://id.ndl.go.jp/auth/ndlna/00577478">00577478</a></span></span></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Biblioteca_Nacional_da_Rep%C3%BAblica_Checa" title="Biblioteca Nacional da República Checa">NKC</a>: <span class="uid"><span class="plainlinks"><a rel="nofollow" class="external text" href="https://aleph.nkp.cz/F/?func=find-c&local_base=aut&ccl_term=ica=ph162457">ph162457</a></span></span></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Biblioteca_t%C3%A9cnica_nacional_de_Praga" title="Biblioteca técnica nacional de Praga">PSH</a>: <span class="uid"><span class="plainlinks"><a rel="nofollow" class="external text" href="https://psh.techlib.cz/skos/PSH3557">3557</a></span></span></span></li> <li><span style="white-space:nowrap;"><a href="/wiki/Enciclopedia_Treccani" title="Enciclopedia Treccani">Treccani</a>: <span class="uid"><span class="plainlinks"><a rel="nofollow" class="external text" href="https://www.treccani.it/enciclopedia/spin">spin</a></span></span></span></li></ul> </div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐web.codfw.main‐84d8f4b96‐dgntv Cached time: 20241117141502 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.264 seconds Real time usage: 0.566 seconds Preprocessor visited node count: 333/1000000 Post‐expand include size: 8288/2097152 bytes Template argument size: 46/2097152 bytes Highest expansion depth: 9/100 Expensive parser function count: 11/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 2479/5000000 bytes Lua time usage: 0.168/10.000 seconds Lua memory usage: 4982210/52428800 bytes Number of Wikibase entities loaded: 12/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 315.218 1 -total 80.28% 253.044 1 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