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Kvant – Wikipedija

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fmbox fmbox-system\" role=\"presentation\" style=\"border:1px solid #0077BB;\"\u003E\u003Ctbody\u003E\u003Ctr\u003E\u003Ctd class=\"mbox-image\"\u003E\u003Cspan typeof=\"mw:File\"\u003E\u003Cspan\u003E\u003Cimg src=\"//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Treffpunkt.svg/40px-Treffpunkt.svg.png\" decoding=\"async\" width=\"26\" height=\"26\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/9/97/Treffpunkt.svg/60px-Treffpunkt.svg.png 2x\" data-file-width=\"512\" data-file-height=\"512\" /\u003E\u003C/span\u003E\u003C/span\u003E\u003C/td\u003E\u003Ctd class=\"mbox-text\"\u003EOtvoren je \u003Ca href=\"/wiki/Wikipedija:Zahtjev_za_komentare/Nazivi_%C4%8Dlanaka\" title=\"Wikipedija:Zahtjev za komentare/Nazivi članaka\"\u003E\u003Cb\u003EZahtjev za komentare o nazivima članaka\u003C/b\u003E\u003C/a\u003E\u003C/td\u003E\u003C/tr\u003E\u003C/tbody\u003E\u003C/table\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></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="Mrežno mjesto"> <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="Sadržaj" 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">Sadržaj</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">premjesti</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">sakrij</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">Početak</div> </a> </li> <li id="toc-Kvant_energije" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kvant_energije"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Kvant energije</span> </div> </a> <ul id="toc-Kvant_energije-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kvant_svjetlosti" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kvant_svjetlosti"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Kvant svjetlosti</span> </div> </a> <ul id="toc-Kvant_svjetlosti-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kvant_električnog_naboja" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kvant_električnog_naboja"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Kvant električnog naboja</span> </div> </a> <ul id="toc-Kvant_električnog_naboja-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Kvant_energije_titranja" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Kvant_energije_titranja"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Kvant energije titranja</span> </div> </a> <ul id="toc-Kvant_energije_titranja-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Izvori" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Izvori"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Izvori</span> </div> </a> <ul id="toc-Izvori-sublist" class="vector-toc-list"> </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="Sadržaj" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Sadržaj" > <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="Prikaz sadržaja stranice" > <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">Prikaz sadržaja stranice</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">Kvant</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="Idi na druge jezične varijante članka. Dostupan je na 71 jeziku" > <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-71" 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">71 jezik</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/Kwantum" title="Kwantum – afrikaans" lang="af" hreflang="af" data-title="Kwantum" 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/Quant" title="Quant – švicarski njemački" lang="gsw" hreflang="gsw" data-title="Quant" data-language-autonym="Alemannisch" data-language-local-name="švicarski njemački" 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%83%D9%85_(%D9%81%D9%8A%D8%B2%D9%8A%D8%A7%D8%A1)" title="كم (فيزياء) – arapski" lang="ar" hreflang="ar" data-title="كم (فيزياء)" data-language-autonym="العربية" data-language-local-name="arapski" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Kvant" title="Kvant – azerbajdžanski" lang="az" hreflang="az" data-title="Kvant" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžanski" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%DA%A9%D9%88%D8%A7%D9%86%D8%AA%D9%88%D9%85" title="کوانتوم – South Azerbaijani" lang="azb" hreflang="azb" data-title="کوانتوم" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-bcl mw-list-item"><a href="https://bcl.wikipedia.org/wiki/Kwantum" title="Kwantum – Central Bikol" lang="bcl" hreflang="bcl" data-title="Kwantum" data-language-autonym="Bikol Central" data-language-local-name="Central Bikol" class="interlanguage-link-target"><span>Bikol Central</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – bjeloruski" lang="be" hreflang="be" data-title="Квант" data-language-autonym="Беларуская" data-language-local-name="bjeloruski" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Квант" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – bugarski" lang="bg" hreflang="bg" data-title="Квант" data-language-autonym="Български" data-language-local-name="bugarski" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kvant" title="Kvant – bosanski" lang="bs" hreflang="bs" data-title="Kvant" data-language-autonym="Bosanski" data-language-local-name="bosanski" 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/Qu%C3%A0ntum" title="Quàntum – katalonski" lang="ca" hreflang="ca" data-title="Quàntum" data-language-autonym="Català" data-language-local-name="katalonski" 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/Kvantum" title="Kvantum – češki" lang="cs" hreflang="cs" data-title="Kvantum" data-language-autonym="Čeština" data-language-local-name="češki" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – čuvaški" lang="cv" hreflang="cv" data-title="Квант" data-language-autonym="Чӑвашла" data-language-local-name="čuvaški" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Quant" title="Quant – njemački" lang="de" hreflang="de" data-title="Quant" data-language-autonym="Deutsch" data-language-local-name="njemački" 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%9A%CE%B2%CE%AC%CE%BD%CF%84%CE%BF" title="Κβάντο – grčki" lang="el" hreflang="el" data-title="Κβάντο" data-language-autonym="Ελληνικά" data-language-local-name="grčki" 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/Quantum" title="Quantum – engleski" lang="en" hreflang="en" data-title="Quantum" data-language-autonym="English" data-language-local-name="engleski" 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/Kvantumo" title="Kvantumo – esperanto" lang="eo" hreflang="eo" data-title="Kvantumo" 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/Cuanto" title="Cuanto – španjolski" lang="es" hreflang="es" data-title="Cuanto" data-language-autonym="Español" data-language-local-name="španjolski" 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/Kvant" title="Kvant – estonski" lang="et" hreflang="et" data-title="Kvant" data-language-autonym="Eesti" data-language-local-name="estonski" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%DA%A9%D9%88%D8%A7%D9%86%D8%AA%D9%88%D9%85" title="کوانتوم – perzijski" lang="fa" hreflang="fa" data-title="کوانتوم" data-language-autonym="فارسی" data-language-local-name="perzijski" 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/Kvantti" title="Kvantti – finski" lang="fi" hreflang="fi" data-title="Kvantti" data-language-autonym="Suomi" data-language-local-name="finski" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Kvant" title="Kvant – Võro" lang="vro" hreflang="vro" data-title="Kvant" data-language-autonym="Võro" data-language-local-name="Võro" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Quantum" title="Quantum – francuski" lang="fr" hreflang="fr" data-title="Quantum" data-language-autonym="Français" data-language-local-name="francuski" 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/Candam" title="Candam – irski" lang="ga" hreflang="ga" data-title="Candam" data-language-autonym="Gaeilge" data-language-local-name="irski" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Quanto" title="Quanto – galicijski" lang="gl" hreflang="gl" data-title="Quanto" data-language-autonym="Galego" data-language-local-name="galicijski" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%95%D7%95%D7%A0%D7%98%D7%95%D7%9D" title="קוונטום – hebrejski" lang="he" hreflang="he" data-title="קוונטום" data-language-autonym="עברית" data-language-local-name="hebrejski" 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%95%E0%A5%8D%E0%A4%B5%E0%A4%BE%E0%A4%82%E0%A4%9F%E0%A4%AE" title="क्वांटम – hindski" lang="hi" hreflang="hi" data-title="क्वांटम" data-language-autonym="हिन्दी" data-language-local-name="hindski" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-ht mw-list-item"><a href="https://ht.wikipedia.org/wiki/Kwant%C3%B2m" title="Kwantòm – haićanski kreolski" lang="ht" hreflang="ht" data-title="Kwantòm" data-language-autonym="Kreyòl ayisyen" data-language-local-name="haićanski kreolski" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Kvantum" title="Kvantum – mađarski" lang="hu" hreflang="hu" data-title="Kvantum" data-language-autonym="Magyar" data-language-local-name="mađarski" 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%94%D5%BE%D5%A1%D5%B6%D5%BF" title="Քվանտ – armenski" lang="hy" hreflang="hy" data-title="Քվանտ" data-language-autonym="Հայերեն" data-language-local-name="armenski" 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/Kuantum" title="Kuantum – indonezijski" lang="id" hreflang="id" data-title="Kuantum" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonezijski" 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/Quantumo" title="Quantumo – ido" lang="io" hreflang="io" data-title="Quantumo" 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/Quanto" title="Quanto – talijanski" lang="it" hreflang="it" data-title="Quanto" data-language-autonym="Italiano" data-language-local-name="talijanski" 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/%E9%87%8F%E5%AD%90" title="量子 – japanski" lang="ja" hreflang="ja" data-title="量子" data-language-autonym="日本語" data-language-local-name="japanski" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – kazaški" lang="kk" hreflang="kk" data-title="Квант" data-language-autonym="Қазақша" data-language-local-name="kazaški" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%95%E0%B3%8D%E0%B2%B5%E0%B2%BE%E0%B2%82%E0%B2%9F%E0%B2%AE%E0%B3%8D" title="ಕ್ವಾಂಟಮ್ – karnatački" lang="kn" hreflang="kn" data-title="ಕ್ವಾಂಟಮ್" data-language-autonym="ಕನ್ನಡ" data-language-local-name="karnatački" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%96%91%EC%9E%90_(%EC%97%90%EB%84%88%EC%A7%80)" title="양자 (에너지) – korejski" lang="ko" hreflang="ko" data-title="양자 (에너지)" data-language-autonym="한국어" data-language-local-name="korejski" 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%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – kirgiski" lang="ky" hreflang="ky" data-title="Квант" data-language-autonym="Кыргызча" data-language-local-name="kirgiski" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Kvantas" title="Kvantas – litavski" lang="lt" hreflang="lt" data-title="Kvantas" data-language-autonym="Lietuvių" data-language-local-name="litavski" 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/Kvants" title="Kvants – latvijski" lang="lv" hreflang="lv" data-title="Kvants" data-language-autonym="Latviešu" data-language-local-name="latvijski" 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%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – makedonski" lang="mk" hreflang="mk" data-title="Квант" data-language-autonym="Македонски" data-language-local-name="makedonski" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – mongolski" lang="mn" hreflang="mn" data-title="Квант" data-language-autonym="Монгол" data-language-local-name="mongolski" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Kuantum" title="Kuantum – malajski" lang="ms" hreflang="ms" data-title="Kuantum" data-language-autonym="Bahasa Melayu" data-language-local-name="malajski" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Kwantum" title="Kwantum – nizozemski" lang="nl" hreflang="nl" data-title="Kwantum" data-language-autonym="Nederlands" data-language-local-name="nizozemski" 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/Kvant" title="Kvant – norveški nynorsk" lang="nn" hreflang="nn" data-title="Kvant" data-language-autonym="Norsk nynorsk" data-language-local-name="norveški 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/Kvant" title="Kvant – norveški bokmål" lang="nb" hreflang="nb" data-title="Kvant" data-language-autonym="Norsk bokmål" data-language-local-name="norveški 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/Quantum" title="Quantum – okcitanski" lang="oc" hreflang="oc" data-title="Quantum" data-language-autonym="Occitan" data-language-local-name="okcitanski" 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%95%E0%A9%81%E0%A8%86%E0%A8%82%E0%A8%9F%E0%A8%AE" title="ਕੁਆਂਟਮ – pandžapski" lang="pa" hreflang="pa" data-title="ਕੁਆਂਟਮ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžapski" 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/Kwant" title="Kwant – poljski" lang="pl" hreflang="pl" data-title="Kwant" data-language-autonym="Polski" data-language-local-name="poljski" 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/Quantum" title="Quantum – portugalski" lang="pt" hreflang="pt" data-title="Quantum" data-language-autonym="Português" data-language-local-name="portugalski" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Machkhana" title="Machkhana – kečuanski" lang="qu" hreflang="qu" data-title="Machkhana" data-language-autonym="Runa Simi" data-language-local-name="kečuanski" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Cuant%C4%83" title="Cuantă – rumunjski" lang="ro" hreflang="ro" data-title="Cuantă" data-language-autonym="Română" data-language-local-name="rumunjski" 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%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – ruski" lang="ru" hreflang="ru" data-title="Квант" data-language-autonym="Русский" data-language-local-name="ruski" 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/Kvant" title="Kvant – srpsko-hrvatski" lang="sh" hreflang="sh" data-title="Kvant" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srpsko-hrvatski" 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/Quantum" title="Quantum – Simple English" lang="en-simple" hreflang="en-simple" data-title="Quantum" 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/Kvant" title="Kvant – slovački" lang="sk" hreflang="sk" data-title="Kvant" data-language-autonym="Slovenčina" data-language-local-name="slovački" 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/Kvant" title="Kvant – slovenski" lang="sl" hreflang="sl" data-title="Kvant" data-language-autonym="Slovenščina" data-language-local-name="slovenski" 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/Kuanti" title="Kuanti – albanski" lang="sq" hreflang="sq" data-title="Kuanti" data-language-autonym="Shqip" data-language-local-name="albanski" 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%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – srpski" lang="sr" hreflang="sr" data-title="Квант" data-language-autonym="Српски / srpski" data-language-local-name="srpski" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kvantum" title="Kvantum – švedski" lang="sv" hreflang="sv" data-title="Kvantum" data-language-autonym="Svenska" data-language-local-name="švedski" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-sw mw-list-item"><a href="https://sw.wikipedia.org/wiki/Kwanta" title="Kwanta – svahili" lang="sw" hreflang="sw" data-title="Kwanta" data-language-autonym="Kiswahili" data-language-local-name="svahili" class="interlanguage-link-target"><span>Kiswahili</span></a></li><li class="interlanguage-link interwiki-tr badge-Q70893996 mw-list-item" title=""><a href="https://tr.wikipedia.org/wiki/Kuantum" title="Kuantum – turski" lang="tr" hreflang="tr" data-title="Kuantum" data-language-autonym="Türkçe" data-language-local-name="turski" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9A%D0%B2%D0%B0%D0%BD%D1%82" title="Квант – ukrajinski" lang="uk" hreflang="uk" data-title="Квант" data-language-autonym="Українська" data-language-local-name="ukrajinski" 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/%D9%82%D8%AF%D8%B1%DB%8C%DB%81_(%D8%B7%D8%A8%DB%8C%D8%B9%DB%8C%D8%A7%D8%AA)" title="قدریہ (طبیعیات) – urdski" lang="ur" hreflang="ur" data-title="قدریہ (طبیعیات)" data-language-autonym="اردو" data-language-local-name="urdski" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Kvant" title="Kvant – uzbečki" lang="uz" hreflang="uz" data-title="Kvant" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbečki" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/L%C6%B0%E1%BB%A3ng_t%E1%BB%AD" title="Lượng tử – vijetnamski" lang="vi" hreflang="vi" data-title="Lượng tử" data-language-autonym="Tiếng Việt" data-language-local-name="vijetnamski" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-war mw-list-item"><a href="https://war.wikipedia.org/wiki/Kwantum" title="Kwantum – waray" lang="war" hreflang="war" data-title="Kwantum" data-language-autonym="Winaray" data-language-local-name="waray" class="interlanguage-link-target"><span>Winaray</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E9%87%8F%E5%AD%90" title="量子 – wu kineski" lang="wuu" hreflang="wuu" data-title="量子" data-language-autonym="吴语" data-language-local-name="wu kineski" 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/%E9%87%8F%E5%AD%90" title="量子 – kineski" lang="zh" hreflang="zh" data-title="量子" data-language-autonym="中文" data-language-local-name="kineski" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%87%8F%E5%AD%90" title="量子 – kantonski" lang="yue" hreflang="yue" data-title="量子" data-language-autonym="粵語" data-language-local-name="kantonski" class="interlanguage-link-target"><span>粵語</span></a></li><li class="interlanguage-link interwiki-zu mw-list-item"><a href="https://zu.wikipedia.org/wiki/UHoyana" title="UHoyana – zulu" lang="zu" hreflang="zu" data-title="UHoyana" data-language-autonym="IsiZulu" data-language-local-name="zulu" class="interlanguage-link-target"><span>IsiZulu</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/Q46344#sitelinks-wikipedia" title="Poveznice na druge jezike" class="wbc-editpage">Uredi poveznice</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="Imenski prostori"> <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/Kvant" title="Pogledaj sadržaj [c]" accesskey="c"><span>Stranica</span></a></li><li id="ca-talk" class="new 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1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/19/Black_body.svg/600px-Black_body.svg.png 2x" data-file-width="600" data-file-height="480" /></a><figcaption><a href="/wiki/Zra%C4%8Denje_crnog_tijela" title="Zračenje crnog tijela">Zračenje crnog tijela</a>: kako se <a href="/wiki/Temperatura" title="Temperatura">temperatura</a> smanjuje, vrh krivulje <a href="/wiki/Toplinsko_zra%C4%8Denje" title="Toplinsko zračenje">zračenja</a> dostiže nižu <a href="/wiki/Jakost_zra%C4%8Denja" title="Jakost zračenja">jakost (intenzitet)</a> i duže <a href="/wiki/Valna_duljina" title="Valna duljina">valne duljine</a>.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Photoelectric_effect_in_a_solid_-_diagram.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Photoelectric_effect_in_a_solid_-_diagram.svg/300px-Photoelectric_effect_in_a_solid_-_diagram.svg.png" decoding="async" width="300" height="300" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Photoelectric_effect_in_a_solid_-_diagram.svg/450px-Photoelectric_effect_in_a_solid_-_diagram.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/a6/Photoelectric_effect_in_a_solid_-_diagram.svg/600px-Photoelectric_effect_in_a_solid_-_diagram.svg.png 2x" data-file-width="364" data-file-height="364" /></a><figcaption>Prikaz <a href="/wiki/Fotoelektri%C4%8Dni_u%C4%8Dinak" title="Fotoelektrični učinak">fotoelektričnog učinka</a>.</figcaption></figure> <figure class="mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Datoteka:Bohr_atom_model.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Bohr_atom_model.svg/300px-Bohr_atom_model.svg.png" decoding="async" width="300" height="261" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/9/93/Bohr_atom_model.svg/450px-Bohr_atom_model.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/9/93/Bohr_atom_model.svg/600px-Bohr_atom_model.svg.png 2x" data-file-width="310" data-file-height="270" /></a><figcaption>U pojednostavljenom <a href="/wiki/Bohrov_model_atoma" title="Bohrov model atoma">Bohrovom modelu atoma</a> vodika, <a href="/wiki/Balmerova_serija" title="Balmerova serija">Balmerova serija</a> nastaje skokom <a href="/wiki/Elektron" title="Elektron">elektrona</a> na drugu energetsku razinu (n=2). Prikazana je emisija <a href="/wiki/Svjetlost" title="Svjetlost">svjetlosti</a>. Prijelaz elektrona predstavlja H-alfa, prvu liniju Balmerove serije, <a href="/wiki/Valna_duljina" title="Valna duljina">valne duljine</a> 656 <a href="/wiki/Metar" title="Metar">nm</a>.</figcaption></figure> <div class="hatnote"> <dl><dd><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Disambig.svg/20px-Disambig.svg.png" decoding="async" width="20" height="16" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/72/Disambig.svg/30px-Disambig.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/72/Disambig.svg/40px-Disambig.svg.png 2x" data-file-width="230" data-file-height="183" /></span></span> <i>Ovo je glavno značenje pojma <b>Kvant</b>. Za ruski fizičko-matematički časopis za učenike i studente pogledajte <a href="/wiki/Kvant_(%C4%8Dasopis)" title="Kvant (časopis)">Kvant (časopis)</a>.</i></dd></dl></div> <p><b>Kvant</b> (od <a href="/wiki/Latinski_jezik" title="Latinski jezik">lat</a>. <i>quantum</i>: koliko) je najmanja količina energije koju neki sustav može dobiti ili izgubiti. Prema <a href="/wiki/Kvantna_teorija" title="Kvantna teorija">kvantnoj teoriji</a>, energija se mijenja u kvantima. Pojam je uveo <a href="/wiki/Max_Planck" title="Max Planck">Max Planck</a> 1900. izbjegavajući <a href="/wiki/Ultraljubi%C4%8Dasta_katastrofa" title="Ultraljubičasta katastrofa">ultraljubičastu katastrofu</a> u objašnjenju <a href="/wiki/Zra%C4%8Denje_crnog_tijela" title="Zračenje crnog tijela">raspodjele energije zračenja crnoga tijela</a>. Pretpostavio je da <a href="/wiki/Energija" title="Energija">energija</a> <a href="/wiki/Harmonijsko_titranje" title="Harmonijsko titranje">harmoničkog oscilatora</a> može poprimiti samo diskretne (određene) iznose: </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 E=n\cdot h\cdot \nu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>E</mi> <mo>=</mo> <mi>n</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>h</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>&#x3bd;<!-- ν --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E=n\cdot h\cdot \nu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1bb4b7879a7a2dd9f94add9018f5e421e21b32a0" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:12.198ex; height:2.176ex;" alt="{\displaystyle E=n\cdot h\cdot \nu }" /></span></dd></dl> <p>gdje je: <i>n</i>&#160;=&#160;0,&#160;1,&#160;2&#160;…, <i>h</i> - <a href="/wiki/Planckova_konstanta" title="Planckova konstanta">Planckova konstanta</a>, <i>ν</i> - <a href="/wiki/Frekvencija" title="Frekvencija">frekvencija</a>, <i>h∙ν</i> - minimalni iznos energije za koji se energija <a href="/wiki/Oscilator" class="mw-disambig" title="Oscilator">oscilatora</a> može promijeniti. <a href="/wiki/Albert_Einstein" title="Albert Einstein">Albert Einstein</a> je 1905. pretpostavkom o kvantu energije protumačio <a href="/wiki/Fotoelektri%C4%8Dni_u%C4%8Dinak" title="Fotoelektrični učinak">fotoelektrični učinak</a>, a <a href="/wiki/Niels_Bohr" title="Niels Bohr">Niels Bohr</a> je 1913. objasnio opažene <a href="/wiki/Vodikove_spektralne_linije" title="Vodikove spektralne linije">vodikove spektre</a>.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">&#91;</span>1<span class="cite-bracket">&#93;</span></a></sup> </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Kvant_energije">Kvant energije</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kvant&amp;veaction=edit&amp;section=1" title="Uredi odlomak: Kvant energije" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kvant&amp;action=edit&amp;section=1" title="Uredi kôd odjeljka Kvant energije"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><b>Kvant energije</b> najmanja je, nedjeljiva količina <a href="/wiki/Energija" title="Energija">energije</a> koju može emitirati ili apsorbirati neki kvantni sustav, to jest neka <a href="/wiki/Atomska_jezgra" title="Atomska jezgra">atomska jezgra</a>, <a href="/wiki/Atom" title="Atom">atom</a> ili <a href="/wiki/Molekula" title="Molekula">molekula</a>. </p><p>Prije se smatralo da u svim fizičkim pojavama energija prelazi s jednog tijela na drugo kontinuirano, dakle u kojim malim količinama. No dokle god je postojalo to mišljenje, bilo je nemoguće iz <a href="/wiki/Zra%C4%8Denje_crnog_tijela" title="Zračenje crnog tijela">zračenja nekog crnog tijela</a> izračunati raspodjelu energije <a href="/wiki/Zra%C4%8Denje" class="mw-redirect mw-disambig" title="Zračenje">zračenja</a> po pojedinim <a href="/wiki/Valna_duljina" title="Valna duljina">valnim duljinama</a>. Godine 1900. Max Planck je postavio teoriju kvanta energije. Po toj teoriji, koju su iskustva potpuno potvrdila, atom ne može emitirati odnosno apsorbirati bilo koju količinu energije, već samo točno određeni kvant energije ili višekratnike toga kvanta. Veličinu jednog kvanta energije određena je frekvencijom <i>ν</i> i konstantom <i>h</i>, koju je odredio Planck, pa se zove <a href="/wiki/Planckova_konstanta" title="Planckova konstanta">Planckova konstanta</a>. Ona iznosi: </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 h=\,\,\,6,626\ 0693\cdot 10^{-34}\ {\mbox{J}}\cdot {\mbox{s}}\,\,\,=\,\,\,4,135\ 667\ 43\cdot 10^{-15}\ {\mbox{eV}}\cdot {\mbox{s}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>h</mi> <mo>=</mo> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mn>6</mn> <mo>,</mo> <mn>626</mn> <mtext>&#xa0;</mtext> <mn>0693</mn> <mo>&#x22c5;<!-- ⋅ --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>34</mn> </mrow> </msup> <mtext>&#xa0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>J</mtext> </mstyle> </mrow> <mo>&#x22c5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>s</mtext> </mstyle> </mrow> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mo>=</mo> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mspace width="thinmathspace"></mspace> <mn>4</mn> <mo>,</mo> <mn>135</mn> <mtext>&#xa0;</mtext> <mn>667</mn> <mtext>&#xa0;</mtext> <mn>43</mn> <mo>&#x22c5;<!-- ⋅ --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>15</mn> </mrow> </msup> <mtext>&#xa0;</mtext> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>eV</mtext> </mstyle> </mrow> <mo>&#x22c5;<!-- ⋅ --></mo> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="false" scriptlevel="0"> <mtext>s</mtext> </mstyle> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle h=\,\,\,6,626\ 0693\cdot 10^{-34}\ {\mbox{J}}\cdot {\mbox{s}}\,\,\,=\,\,\,4,135\ 667\ 43\cdot 10^{-15}\ {\mbox{eV}}\cdot {\mbox{s}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/568882c48ff1ab25e64a11f2af13a3ca74c87c3a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:59.231ex; height:3.009ex;" alt="{\displaystyle h=\,\,\,6,626\ 0693\cdot 10^{-34}\ {\mbox{J}}\cdot {\mbox{s}}\,\,\,=\,\,\,4,135\ 667\ 43\cdot 10^{-15}\ {\mbox{eV}}\cdot {\mbox{s}}}" /></span></dd></dl> <p>Prema tome je energija jednog kvanta: </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 E_{k}=h\cdot \nu }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>k</mi> </mrow> </msub> <mo>=</mo> <mi>h</mi> <mo>&#x22c5;<!-- ⋅ --></mo> <mi>&#x3bd;<!-- ν --></mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{k}=h\cdot \nu }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9a7f89d5a51189f18dc74bc582ea807269450cc1" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.153ex; height:2.509ex;" alt="{\displaystyle E_{k}=h\cdot \nu }" /></span></dd></dl> <p>Kvanti energije jedne određene <a href="/wiki/Svjetlost" title="Svjetlost">svjetlosti</a>, to jest svjetlosti određene duljine vala, svi su međusobno jednaki, ali kvanti energije svjetlosti različitih valjnih duljina međusobno su različiti. Kvant energije je to veći što je manja <a href="/wiki/Valna_duljina" title="Valna duljina">valna duljina</a>, odnosno veća <a href="/wiki/Frekvencija" title="Frekvencija">frekvencija</a> svjetlosti. Iz toga proizlazi da su kvanti energije ljubičaste svjetlosti dvaput veći ili snažniji od kvanta energije crvene svjetlosti.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Kvant_svjetlosti">Kvant svjetlosti</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kvant&amp;veaction=edit&amp;section=2" title="Uredi odlomak: Kvant svjetlosti" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kvant&amp;action=edit&amp;section=2" title="Uredi kôd odjeljka Kvant svjetlosti"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="margin-left:0.3rem"><i><style data-mw-deduplicate="TemplateStyles:r7016135">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><a href="/wiki/Datoteka:Vista-xmag.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/18px-Vista-xmag.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/27px-Vista-xmag.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/36px-Vista-xmag.png 2x" data-file-width="128" data-file-height="128" /></a></span> Podrobniji članak o temi: <a href="/wiki/Foton" title="Foton">Foton</a></div></i></div> <p><b>Kvant svjetlosti</b> najmanji je iznos energije koji se može prenijeti <a href="/wiki/Elektromagnetsko_zra%C4%8Denje" title="Elektromagnetsko zračenje">elektromagnetskim zračenjem</a>, to jest <a href="/wiki/Foton" title="Foton">foton</a> ili <b>svjetlosni kvant</b>. </p> <div class="mw-heading mw-heading2"><h2 id="Kvant_električnog_naboja"><span id="Kvant_elektri.C4.8Dnog_naboja"></span>Kvant električnog naboja</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kvant&amp;veaction=edit&amp;section=3" title="Uredi odlomak: Kvant električnog naboja" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kvant&amp;action=edit&amp;section=3" title="Uredi kôd odjeljka Kvant električnog naboja"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <div style="margin-left:0.3rem"><i><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r7016135" /><div role="note" class="hatnote navigation-not-searchable"><span typeof="mw:File"><a href="/wiki/Datoteka:Vista-xmag.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/18px-Vista-xmag.png" decoding="async" width="18" height="18" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/27px-Vista-xmag.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/e/e5/Vista-xmag.png/36px-Vista-xmag.png 2x" data-file-width="128" data-file-height="128" /></a></span> Podrobniji članak o temi: <a href="/wiki/Elementarni_naboj" title="Elementarni naboj">Elementarni naboj</a></div></i></div> <p>Kvant električnog naboja je <b>elementarni električni naboj</b>. Elementarni električni naboj (oznaka <i>e</i>) je <a href="/wiki/Fizikalne_konstante" title="Fizikalne konstante">fizikalna konstanta</a> koja je apsolutna vrijednost <a href="/wiki/Elektri%C4%8Dni_naboj" title="Električni naboj">električnoga naboja</a> <a href="/wiki/Elektron" title="Elektron">elektrona</a>, odnosno <a href="/wiki/Proton" title="Proton">protona</a>. Električni naboj elektrona prvi je izmjerio <a href="/wiki/Robert_Andrews_Millikan" title="Robert Andrews Millikan">R. A. Millikan</a> 1909. Prema suvremenim mjerenjima iznosi 1,602 176 565 · 10<sup>–19</sup>&#160;<a href="/wiki/Kulon" title="Kulon">C</a>. Električni naboj u prirodi je kvantiziran, to jest može se pojaviti samo u višekratnicima (…, –1, 0, 1, …) od <i>e</i>. Iznimka su <a href="/wiki/Kvark" title="Kvark">kvarkovi</a>, <a href="/wiki/Elementarna_%C4%8Destica" title="Elementarna čestica">elementarne čestice</a> trećinskih naboja, no oni ne mogu biti slobodni.<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">&#91;</span>3<span class="cite-bracket">&#93;</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Kvant_energije_titranja">Kvant energije titranja</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kvant&amp;veaction=edit&amp;section=4" title="Uredi odlomak: Kvant energije titranja" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kvant&amp;action=edit&amp;section=4" title="Uredi kôd odjeljka Kvant energije titranja"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Kvant energije titranja u čvrstom tijelu je <a href="/wiki/Fonon" title="Fonon">fonon</a>. </p> <div class="mw-heading mw-heading2"><h2 id="Izvori">Izvori</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Kvant&amp;veaction=edit&amp;section=5" title="Uredi odlomak: Izvori" class="mw-editsection-visualeditor"><span>uredi</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Kvant&amp;action=edit&amp;section=5" title="Uredi kôd odjeljka Izvori"><span>uredi kôd</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r6541845">.mw-parser-output .reflist{font-size:90%;margin-bottom:0.5em;list-style-type:decimal}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r7012897">.mw-parser-output cite.citation{font-style:inherit}.mw-parser-output .citation q{quotes:"»""«"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .citation .cs1-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/6/65/Lock-green.svg/9px-Lock-green.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-limited a,.mw-parser-output .citation .cs1-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/d/d6/Lock-gray-alt-2.svg/9px-Lock-gray-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .citation .cs1-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/a/aa/Lock-red-alt-2.svg/9px-Lock-red-alt-2.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration{color:#555}.mw-parser-output .cs1-subscription span,.mw-parser-output .cs1-registration span{border-bottom:1px dotted;cursor:help}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/thumb/4/4c/Wikisource-logo.svg/12px-Wikisource-logo.svg.png")no-repeat;background-position:right .1em center}.mw-parser-output code.cs1-code{color:inherit;background:inherit;border:inherit;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;font-size:100%}.mw-parser-output .cs1-visible-error{font-size:100%}.mw-parser-output .cs1-maint{display:none;color:#33aa33;margin-left:0.3em}.mw-parser-output .cs1-subscription,.mw-parser-output .cs1-registration,.mw-parser-output .cs1-format{font-size:95%}.mw-parser-output .cs1-kern-left,.mw-parser-output .cs1-kern-wl-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right,.mw-parser-output .cs1-kern-wl-right{padding-right:0.2em}</style><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.enciklopedija.hr/Natuknica.aspx?ID=34867">kvant</a>. <i>Hrvatska enciklopedija</i>. Leksikografski zavod Miroslav Krleža. 2018.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Hrvatska+enciklopedija&amp;rft.atitle=kvant&amp;rft.date=2018&amp;rft_id=https%3A%2F%2Fwww.enciklopedija.hr%2FNatuknica.aspx%3FID%3D34867&amp;rfr_id=info%3Asid%2Fhr.wikipedia.org%3AKvant" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><a href="#cite_ref-2">↑</a></span> <span class="reference-text"> Velimir Kruz: "Tehnička fizika za tehničke škole", "Školska knjiga" Zagreb, 1969.</span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><a href="#cite_ref-3">↑</a></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r7012897" /><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.enciklopedija.hr/natuknica.aspx?ID=17686">elementarni električni naboj</a>. <i>Hrvatska enciklopedija</i>. Leksikografski zavod Miroslav Krleža. 2018.</cite><span title="ctx_ver=Z39.88-2004&amp;rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&amp;rft.genre=unknown&amp;rft.jtitle=Hrvatska+enciklopedija&amp;rft.atitle=elementarni+elektri%C4%8Dni+naboj&amp;rft.date=2018&amp;rft_id=https%3A%2F%2Fwww.enciklopedija.hr%2Fnatuknica.aspx%3FID%3D17686&amp;rfr_id=info%3Asid%2Fhr.wikipedia.org%3AKvant" class="Z3988"></span></span> </li> </ol></div></div> <div style="padding:3px"><div style="display:table-cell; vertical-align:middle; text-align:center; width:2em; font-family:serif; font-size:180%; padding-right:3px; letter-spacing:-0.1em; background:#f0e0b0">HE</div><div style="display:table-cell; vertical-align:middle; font-size:82%; padding-left:3px">Dio sadržaja ove stranice preuzet je iz mrežnog izdanja <a href="/wiki/Hrvatska_enciklopedija_(LZMK)" title="Hrvatska enciklopedija (LZMK)">Hrvatske enciklopedije</a> i nije slobodan za daljnju upotrebu pod uvjetima Wikipedijine licencije o sadržaju. Uvjete upotrebe uz <a href="/wiki/Wikipedija:Dopu%C5%A1tenja_za_kori%C5%A1tenje_sadr%C5%BEaja/Ustanove#Leksikografski_zavod_&quot;Miroslav_Krleža&quot;" title="Wikipedija:Dopuštenja za korištenje sadržaja/Ustanove">dano nam pojašnjenje</a> pogledajte na <a rel="nofollow" class="external text" href="https://www.enciklopedija.hr/Upute/">stranici Leksikografskog zavoda</a></div></div> <!-- NewPP limit report Parsed by mw‐api‐ext.codfw.main‐dc875dd57‐vxh9p Cached time: 20250317211618 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1, show‐toc] CPU time usage: 0.134 seconds Real time usage: 0.214 seconds Preprocessor visited node count: 239/1000000 Post‐expand include size: 4202/2097152 bytes Template argument size: 79/2097152 bytes Highest expansion depth: 5/100 Expensive parser function count: 2/500 Unstrip recursion depth: 1/20 Unstrip post‐expand size: 7950/5000000 bytes Lua time usage: 0.070/10.000 seconds Lua memory usage: 2674625/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 126.723 1 -total 65.83% 83.424 1 Predložak:Izvori 58.24% 73.802 2 Predložak:Citiranje_weba 27.48% 34.824 2 Predložak:Glavni 2.17% 2.746 1 Predložak:Dz 1.33% 1.691 1 Predložak:Hrvatska_enciklopedija_–_autorska_prava --> <!-- Saved in parser cache with key hrwiki:pcache:94094:|#|:idhash:canonical and timestamp 20250317211618 and revision id 7148695. 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cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only mw-watchlink" id="ca-watchstar-sticky-header" tabindex="-1" data-event-name="watch-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-star mw-ui-icon-wikimedia-wikimedia-star"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-ve-edit-sticky-header" tabindex="-1" data-event-name="ve-edit-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-edit mw-ui-icon-wikimedia-wikimedia-edit"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-edit-sticky-header" tabindex="-1" data-event-name="wikitext-edit-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-wikiText mw-ui-icon-wikimedia-wikimedia-wikiText"></span> <span></span> </a> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only" id="ca-viewsource-sticky-header" tabindex="-1" data-event-name="ve-edit-protected-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-editLock mw-ui-icon-wikimedia-wikimedia-editLock"></span> <span></span> </a> </div> <div class="vector-sticky-header-buttons"> <button class="cdx-button cdx-button--weight-quiet mw-interlanguage-selector" id="p-lang-btn-sticky-header" tabindex="-1" data-event-name="ui.dropdown-p-lang-btn-sticky-header"><span class="vector-icon mw-ui-icon-wikimedia-language mw-ui-icon-wikimedia-wikimedia-language"></span> <span>71 jezik</span> </button> <a href="#" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive" id="ca-addsection-sticky-header" tabindex="-1" data-event-name="addsection-sticky-header"><span class="vector-icon mw-ui-icon-speechBubbleAdd-progressive mw-ui-icon-wikimedia-speechBubbleAdd-progressive"></span> <span>Dodaj temu</span> </a> </div> <div class="vector-sticky-header-icon-end"> <div class="vector-user-links"> </div> </div> </div> </div> </div> <div class="mw-portlet mw-portlet-dock-bottom emptyPortlet" id="p-dock-bottom"> <ul> </ul> </div> <script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-7ccc697c5f-mhtdh","wgBackendResponseTime":124,"wgPageParseReport":{"limitreport":{"cputime":"0.134","walltime":"0.214","ppvisitednodes":{"value":239,"limit":1000000},"postexpandincludesize":{"value":4202,"limit":2097152},"templateargumentsize":{"value":79,"limit":2097152},"expansiondepth":{"value":5,"limit":100},"expensivefunctioncount":{"value":2,"limit":500},"unstrip-depth":{"value":1,"limit":20},"unstrip-size":{"value":7950,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 126.723 1 -total"," 65.83% 83.424 1 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