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뤼드베리 공식 - 위키백과, 우리 모두의 백과사전
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[o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>로그인</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"> 로그아웃한 편집자를 위한 문서 <a href="/wiki/%EB%8F%84%EC%9B%80%EB%A7%90:%EC%86%8C%EA%B0%9C" aria-label="편집에 관해 더 알아보기"><span>더 알아보기</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/%ED%8A%B9%EC%88%98:%EB%82%B4%EA%B8%B0%EC%97%AC" title="이 IP 주소의 편집 목록 [y]" accesskey="y"><span>기여</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%82%B4%EC%82%AC%EC%9A%A9%EC%9E%90%ED%86%A0%EB%A1%A0" title="현재 사용하는 IP 주소에 대한 토론 문서 [n]" accesskey="n"><span>토론</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="사이트"> <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="목차" 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">목차</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">사이드바로 이동</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">숨기기</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">처음 위치</div> </a> </li> <li id="toc-공식" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#공식"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>공식</span> </div> </a> <button aria-controls="toc-공식-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>공식 하위섹션 토글하기</span> </button> <ul id="toc-공식-sublist" class="vector-toc-list"> <li id="toc-수소의_경우" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#수소의_경우"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.1</span> <span>수소의 경우</span> </div> </a> <ul id="toc-수소의_경우-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-대부분의_다른_원소의_경우" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#대부분의_다른_원소의_경우"> <div class="vector-toc-text"> <span class="vector-toc-numb">1.2</span> <span>대부분의 다른 원소의 경우</span> </div> </a> <ul id="toc-대부분의_다른_원소의_경우-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-같이_보기" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#같이_보기"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>같이 보기</span> </div> </a> <ul id="toc-같이_보기-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="목차" 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="목차 토글" > <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">목차 토글</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">뤼드베리 공식</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="다른 언어로 문서를 방문합니다. 28개 언어로 읽을 수 있습니다" > <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-28" 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">28개 언어</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B5%D9%8A%D8%BA%D8%A9_%D8%B1%D9%8A%D8%AF%D8%A8%D8%B1%D8%BA" title="صيغة ريدبرغ – 아랍어" lang="ar" hreflang="ar" data-title="صيغة ريدبرغ" data-language-autonym="العربية" data-language-local-name="아랍어" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A4%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0_%D0%A0%D1%8B%D0%B4%D0%B1%D0%B5%D1%80%D0%B3%D0%B0" title="Формула Рыдберга – 벨라루스어" lang="be" hreflang="be" data-title="Формула Рыдберга" data-language-autonym="Беларуская" data-language-local-name="벨라루스어" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/F%C3%B3rmula_de_Rydberg" title="Fórmula de Rydberg – 카탈로니아어" lang="ca" hreflang="ca" data-title="Fórmula de Rydberg" data-language-autonym="Català" data-language-local-name="카탈로니아어" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Rydbergs_formel" title="Rydbergs formel – 덴마크어" lang="da" hreflang="da" data-title="Rydbergs formel" data-language-autonym="Dansk" data-language-local-name="덴마크어" 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/Rydberg-Formel" title="Rydberg-Formel – 독일어" lang="de" hreflang="de" data-title="Rydberg-Formel" data-language-autonym="Deutsch" data-language-local-name="독일어" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Rydberg_formula" title="Rydberg formula – 영어" lang="en" hreflang="en" data-title="Rydberg formula" data-language-autonym="English" data-language-local-name="영어" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/F%C3%B3rmula_de_Rydberg" title="Fórmula de Rydberg – 스페인어" lang="es" hreflang="es" data-title="Fórmula de Rydberg" data-language-autonym="Español" data-language-local-name="스페인어" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%81%D8%B1%D9%85%D9%88%D9%84_%D8%B1%DB%8C%D8%AF%D8%A8%D8%B1%DA%AF" title="فرمول ریدبرگ – 페르시아어" lang="fa" hreflang="fa" data-title="فرمول ریدبرگ" data-language-autonym="فارسی" data-language-local-name="페르시아어" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Formule_de_Rydberg" title="Formule de Rydberg – 프랑스어" lang="fr" hreflang="fr" data-title="Formule de Rydberg" data-language-autonym="Français" data-language-local-name="프랑스어" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/F%C3%B3rmula_de_Rydberg" title="Fórmula de Rydberg – 갈리시아어" lang="gl" hreflang="gl" data-title="Fórmula de Rydberg" data-language-autonym="Galego" data-language-local-name="갈리시아어" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Rydbergova_formula" title="Rydbergova formula – 크로아티아어" lang="hr" hreflang="hr" data-title="Rydbergova formula" data-language-autonym="Hrvatski" data-language-local-name="크로아티아어" 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/Rydberg-formula" title="Rydberg-formula – 헝가리어" lang="hu" hreflang="hu" data-title="Rydberg-formula" data-language-autonym="Magyar" data-language-local-name="헝가리어" 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%8C%D5%AB%D5%A4%D5%A2%D5%A5%D6%80%D5%A3%D5%AB_%D5%A2%D5%A1%D5%B6%D5%A1%D5%B1%D6%87" title="Ռիդբերգի բանաձև – 아르메니아어" lang="hy" hreflang="hy" data-title="Ռիդբերգի բանաձև" data-language-autonym="Հայերեն" data-language-local-name="아르메니아어" 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/Rumus_Rydberg" title="Rumus Rydberg – 인도네시아어" lang="id" hreflang="id" data-title="Rumus Rydberg" data-language-autonym="Bahasa Indonesia" data-language-local-name="인도네시아어" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Formula_di_Rydberg" title="Formula di Rydberg – 이탈리아어" lang="it" hreflang="it" data-title="Formula di Rydberg" data-language-autonym="Italiano" data-language-local-name="이탈리아어" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Rydberg-formule" title="Rydberg-formule – 네덜란드어" lang="nl" hreflang="nl" data-title="Rydberg-formule" data-language-autonym="Nederlands" data-language-local-name="네덜란드어" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Rydbergs_formel" title="Rydbergs formel – 노르웨이어(보크말)" lang="nb" hreflang="nb" data-title="Rydbergs formel" data-language-autonym="Norsk bokmål" data-language-local-name="노르웨이어(보크말)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B0%E0%A8%BE%E0%A8%87%E0%A8%A1%E0%A8%AC%E0%A9%8D%E0%A8%B0%E0%A8%97_%E0%A8%AB%E0%A8%BE%E0%A8%B0%E0%A8%AE%E0%A9%82%E0%A8%B2%E0%A8%BE" title="ਰਾਇਡਬ੍ਰਗ ਫਾਰਮੂਲਾ – 펀잡어" lang="pa" hreflang="pa" data-title="ਰਾਇਡਬ੍ਰਗ ਫਾਰਮੂਲਾ" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="펀잡어" 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/Wz%C3%B3r_Rydberga" title="Wzór Rydberga – 폴란드어" lang="pl" hreflang="pl" data-title="Wzór Rydberga" data-language-autonym="Polski" data-language-local-name="폴란드어" 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/F%C3%B3rmula_de_Rydberg" title="Fórmula de Rydberg – 포르투갈어" lang="pt" hreflang="pt" data-title="Fórmula de Rydberg" data-language-autonym="Português" data-language-local-name="포르투갈어" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%A4%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0_%D0%A0%D0%B8%D0%B4%D0%B1%D0%B5%D1%80%D0%B3%D0%B0" title="Формула Ридберга – 러시아어" lang="ru" hreflang="ru" data-title="Формула Ридберга" data-language-autonym="Русский" data-language-local-name="러시아어" 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/Rydbergova_formula" title="Rydbergova formula – 세르비아-크로아티아어" lang="sh" hreflang="sh" data-title="Rydbergova formula" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="세르비아-크로아티아어" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Rydbergova_formula" title="Rydbergova formula – 슬로베니아어" lang="sl" hreflang="sl" data-title="Rydbergova formula" data-language-autonym="Slovenščina" data-language-local-name="슬로베니아어" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A0%D0%B8%D0%B4%D0%B1%D0%B5%D1%80%D0%B3%D0%BE%D0%B2%D0%B0_%D1%84%D0%BE%D1%80%D0%BC%D1%83%D0%BB%D0%B0" title="Ридбергова формула – 세르비아어" lang="sr" hreflang="sr" data-title="Ридбергова формула" data-language-autonym="Српски / srpski" data-language-local-name="세르비아어" 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/Rydbergs_formel" title="Rydbergs formel – 스웨덴어" lang="sv" hreflang="sv" data-title="Rydbergs formel" data-language-autonym="Svenska" data-language-local-name="스웨덴어" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link 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.sidebar-navbar{text-align:right;font-size:115%;padding:0 0.4em 0.4em}.mw-parser-output .sidebar-list-title{padding:0 0.4em;text-align:left;font-weight:bold;line-height:1.6em;font-size:105%}.mw-parser-output .sidebar-list-title-c{padding:0 0.4em;text-align:center;margin:0 3.3em}@media(max-width:720px){body.mediawiki .mw-parser-output .sidebar{width:100%!important;clear:both;float:none!important;margin-left:0!important;margin-right:0!important}}</style><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><table class="sidebar sidebar-collapse nomobile nowraplinks plainlist nowraplinks" style="width:19.0em;"><tbody><tr><td class="sidebar-pretitle">관련 기사 시리즈의 일부</td></tr><tr><th class="sidebar-title-with-pretitle"><a href="/wiki/%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99" title="양자역학">양자역학</a></th></tr><tr><td class="sidebar-image"><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 i\hbar {\frac {\partial }{\partial t}}|\psi (t)\rangle ={\hat {H}}|\psi (t)\rangle }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>i</mi> <mi class="MJX-variant">ℏ<!-- ℏ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mi mathvariant="normal">∂<!-- ∂ --></mi> <mrow> <mi mathvariant="normal">∂<!-- ∂ --></mi> <mi>t</mi> </mrow> </mfrac> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>ψ<!-- ψ --></mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo fence="false" stretchy="false">⟩<!-- ⟩ --></mo> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>H</mi> <mo stretchy="false">^<!-- ^ --></mo> </mover> </mrow> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>ψ<!-- ψ --></mi> <mo stretchy="false">(</mo> <mi>t</mi> <mo stretchy="false">)</mo> <mo fence="false" stretchy="false">⟩<!-- ⟩ --></mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle i\hbar {\frac {\partial }{\partial t}}|\psi (t)\rangle ={\hat {H}}|\psi (t)\rangle }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0de8741a7d26ae98689c7b3339e97dfafea9fd26" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.005ex; width:21.692ex; height:5.509ex;" alt="{\displaystyle i\hbar {\frac {\partial }{\partial t}}|\psi (t)\rangle ={\hat {H}}|\psi (t)\rangle }"></span><div class="sidebar-caption" style="font-size:90%;padding-top:0.4em;font-style:italic;"><a href="/wiki/%EC%8A%88%EB%A2%B0%EB%94%A9%EA%B1%B0_%EB%B0%A9%EC%A0%95%EC%8B%9D" title="슈뢰딩거 방정식">슈뢰딩거 방정식</a></div></td></tr><tr><td class="sidebar-above hlist nowrap" style="display:block;margin-bottom:0.4em;"> <ul><li><a href="/wiki/%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99_%EA%B0%9C%EB%A1%A0" title="양자역학 개론">개론</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99%EC%9D%98_%EC%88%98%ED%95%99%EC%A0%81_%EA%B3%B5%EC%8B%9D%ED%99%94" class="mw-redirect" title="양자역학의 수학적 공식화">수학적 공식화</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99%EC%9D%98_%EC%97%AD%EC%82%AC" title="양자역학의 역사">역사</a></li></ul></td></tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;">배경</div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"> <ul><li><a href="/wiki/%EA%B3%A0%EC%A0%84%EC%97%AD%ED%95%99" title="고전역학">고전역학</a></li> <li><a href="/wiki/%EC%B4%88%EA%B8%B0_%EC%96%91%EC%9E%90%EB%A1%A0" title="초기 양자론">초기 양자론</a></li> <li><a href="/wiki/%EB%B8%8C%EB%9D%BC-%EC%BC%93_%ED%91%9C%EA%B8%B0%EB%B2%95" title="브라-켓 표기법">브라-켓 표기법</a></li></ul> <div class="hlist"> <ul><li><a href="/wiki/%ED%95%B4%EB%B0%80%ED%86%A0%EB%8B%88%EC%96%B8_(%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99)" title="해밀토니언 (양자역학)">해밀토니언</a></li> <li><a href="/wiki/%EA%B0%84%EC%84%AD_(%ED%8C%8C%EB%8F%99_%EC%A0%84%ED%8C%8C)" title="간섭 (파동 전파)">간섭</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;">기본</div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"><div class="hlist"> <ul><li><a href="/wiki/%EC%83%81%EB%B3%B4%EC%84%B1_(%EB%AC%BC%EB%A6%AC%ED%95%99)" title="상보성 (물리학)">상보성</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90_%EA%B2%B0%EC%96%B4%EA%B8%8B%EB%82%A8" title="양자 결어긋남">결어긋남</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90_%EC%96%BD%ED%9E%98" title="양자 얽힘">얽힘</a></li> <li><a href="/wiki/%EC%97%90%EB%84%88%EC%A7%80_%EC%A4%80%EC%9C%84" title="에너지 준위">에너지 준위</a></li> <li><a href="https://en.wikipedia.org/wiki/Measurement_in_quantum_mechanics" class="extiw" title="w:Measurement in quantum mechanics">측정(measurement)</a></li> <li><a href="https://en.wikipedia.org/wiki/Quantum_nonlocality" class="extiw" title="w:Quantum nonlocality">비국소성(nonlocality)</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90%EC%88%98" title="양자수">양자수</a></li> <li><a href="https://en.wikipedia.org/wiki/Quantum_state" class="extiw" title="w:Quantum state">상태(state)</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90_%EC%A4%91%EC%B2%A9" title="양자 중첩">중첩</a></li> <li><a href="https://en.wikipedia.org/wiki/Symmetry_in_quantum_mechanics" class="extiw" title="w:Symmetry in quantum mechanics">Symmetry</a></li> <li><a href="/wiki/%ED%84%B0%EB%84%90_%ED%9A%A8%EA%B3%BC" title="터널 효과">터널링</a></li> <li><a href="/wiki/%EB%B6%88%ED%99%95%EC%A0%95%EC%84%B1_%EC%9B%90%EB%A6%AC" title="불확정성 원리">불확정성</a></li> <li><a href="/wiki/%ED%8C%8C%EB%8F%99_%ED%95%A8%EC%88%98" title="파동 함수">파동 함수</a> <ul><li><a href="/wiki/%ED%8C%8C%EB%8F%99_%ED%95%A8%EC%88%98_%EB%B6%95%EA%B4%B4" title="파동 함수 붕괴">붕괴</a></li></ul></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;">실험</div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"><div class="hlist"> <ul><li><a href="/wiki/%EB%B2%A8_%EB%B6%80%EB%93%B1%EC%8B%9D_%EC%8B%A4%ED%97%98" title="벨 부등식 실험">벨 부등식</a></li> <li><a href="/wiki/%EB%8D%B0%EC%9D%B4%EB%B9%84%EC%8A%A8-%EA%B1%B0%EB%A8%B8_%EC%8B%A4%ED%97%98" title="데이비슨-거머 실험">데이비슨-거머</a></li> <li><a href="/wiki/%EC%9D%B4%EC%A4%91%EC%8A%AC%EB%A6%BF_%EC%8B%A4%ED%97%98" title="이중슬릿 실험">이중슬릿</a></li> <li><a href="https://en.wikipedia.org/wiki/Elitzur%E2%80%93Vaidman_bomb_tester" class="extiw" title="w:Elitzur–Vaidman bomb tester">엘리추르–바이드만(Elitzur–Vaidman)</a></li> <li><a href="/wiki/%ED%94%84%EB%9E%91%ED%81%AC-%ED%97%A4%EB%A5%B4%EC%B8%A0_%EC%8B%A4%ED%97%98" title="프랑크-헤르츠 실험">프랑크-헤르츠</a></li> <li><a href="https://en.wikipedia.org/wiki/Leggett%E2%80%93Garg_inequality" class="extiw" title="w:Leggett–Garg inequality">레게트-가르그 부등식(Leggett–Garg inequality)</a></li> <li><a href="https://en.wikipedia.org/wiki/Mach%E2%80%93Zehnder_interferometer" class="extiw" title="w:Mach–Zehnder interferometer">마하-젠더(Mach–Zehnder)</a></li> <li><a href="https://en.wikipedia.org/wiki/Popper%27s_experiment" class="extiw" title="w:Popper's experiment">포퍼(Popper)</a></li></ul> </div> <ul><li><a href="https://en.wikipedia.org/wiki/Quantum_eraser_experiment" class="extiw" title="w:Quantum eraser experiment">양자 지우개(quantum eraser)</a> <ul><li><a href="/wiki/%EC%A7%80%EC%97%B0%EC%84%A0%ED%83%9D_%EC%96%91%EC%9E%90_%EC%A7%80%EC%9A%B0%EA%B0%9C" title="지연선택 양자 지우개">지연선택</a></li></ul></li></ul> <div class="hlist"> <ul><li><a href="/wiki/%EC%8A%88%EB%A2%B0%EB%94%A9%EA%B1%B0%EC%9D%98_%EA%B3%A0%EC%96%91%EC%9D%B4" title="슈뢰딩거의 고양이">슈뢰딩거의 고양이</a></li> <li><a href="/wiki/%EC%8A%88%ED%85%8C%EB%A5%B8-%EA%B2%8C%EB%A5%BC%EB%9D%BC%ED%9D%90_%EC%8B%A4%ED%97%98" title="슈테른-게를라흐 실험">슈테른-게를라흐</a></li> <li><a href="https://en.wikipedia.org/wiki/Wheeler%27s_delayed-choice_experiment" class="extiw" title="w:Wheeler's delayed-choice experiment">휠러의 지연된 선택(Wheeler's delayed-choice)</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;">공식화</div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"> <ul><li><a href="/wiki/%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99%EC%9D%98_%EC%88%98%ED%95%99_%EA%B3%B5%EC%8B%9D%ED%99%94" title="양자역학의 수학 공식화">개요</a></li></ul> <div class="hlist"> <ul><li><a href="/wiki/%ED%95%98%EC%9D%B4%EC%A0%A0%EB%B2%A0%EB%A5%B4%ED%81%AC_%EB%AC%98%EC%82%AC" title="하이젠베르크 묘사">하이젠베르크</a></li> <li><a href="/wiki/%EC%83%81%ED%98%B8%EC%9E%91%EC%9A%A9_%EB%AC%98%EC%82%AC" title="상호작용 묘사">상호작용 묘사</a></li> <li><a href="/wiki/%ED%96%89%EB%A0%AC_%EC%97%AD%ED%95%99" title="행렬 역학">행렬</a></li> <li><a href="https://en.wikipedia.org/wiki/Phase_space_formulation" class="extiw" title="w:Phase space formulation">Phase-space</a></li> <li><a href="/wiki/%EC%8A%88%EB%A2%B0%EB%94%A9%EA%B1%B0_%EB%AC%98%EC%82%AC" title="슈뢰딩거 묘사">슈뢰딩거</a></li> <li><a href="/wiki/%EA%B2%BD%EB%A1%9C_%EC%A0%81%EB%B6%84_%EA%B3%B5%EC%8B%9D%ED%99%94" title="경로 적분 공식화">합계 기록(경로 적분)</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;">방정식</div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"><div class="hlist"> <ul><li><a href="/wiki/%EB%94%94%EB%9E%99_%EB%B0%A9%EC%A0%95%EC%8B%9D" title="디랙 방정식">디랙</a></li> <li><a href="/wiki/%ED%81%B4%EB%9D%BC%EC%9D%B8-%EA%B3%A0%EB%93%A0_%EB%B0%A9%EC%A0%95%EC%8B%9D" title="클라인-고든 방정식">클라인-고든</a></li> <li><a href="https://en.wikipedia.org/wiki/Pauli_equation" class="extiw" title="w:Pauli equation">파울리(Pauli)</a></li> <li><a class="mw-selflink selflink">뤼드베리</a></li> <li><a href="/wiki/%EC%8A%88%EB%A2%B0%EB%94%A9%EA%B1%B0_%EB%B0%A9%EC%A0%95%EC%8B%9D" title="슈뢰딩거 방정식">슈뢰딩거</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;"><a href="/wiki/%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99%EC%9D%98_%ED%95%B4%EC%84%9D" title="양자역학의 해석">해석</a></div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"><div class="hlist"> <ul><li><a href="/wiki/%EC%96%91%EC%9E%90_%EB%B2%A0%EC%9D%B4%EC%A6%88%EC%A3%BC%EC%9D%98" title="양자 베이즈주의">베이지안</a></li> <li><a href="/wiki/%EC%A0%95%ED%95%A9%EC%A0%81_%EC%97%AD%EC%82%AC" title="정합적 역사">정합적 역사</a></li> <li><a href="/wiki/%EC%BD%94%ED%8E%9C%ED%95%98%EA%B2%90_%ED%95%B4%EC%84%9D" title="코펜하겐 해석">코펜하겐</a></li> <li><a href="/wiki/%EB%93%9C_%EB%B8%8C%EB%A1%9C%EC%9D%B4-%EB%B4%84_%EC%9D%B4%EB%A1%A0" title="드 브로이-봄 이론">드 브로이-봄</a></li> <li><a href="/wiki/%EC%95%99%EC%83%81%EB%B8%94_%ED%95%B4%EC%84%9D" title="앙상블 해석">앙상블</a></li> <li><a href="/wiki/%EC%88%A8%EC%9D%80_%EB%B3%80%EC%88%98_%EC%9D%B4%EB%A1%A0" title="숨은 변수 이론">숨은 변수</a> <ul><li><a href="/wiki/%EA%B5%AD%EC%86%8C%EC%A0%81_%EC%88%A8%EC%9D%80_%EB%B3%80%EC%88%98_%EC%9D%B4%EB%A1%A0" title="국소적 숨은 변수 이론">국소적</a></li></ul></li> <li><a href="/wiki/%EB%8B%A4%EC%84%B8%EA%B3%84_%ED%95%B4%EC%84%9D" title="다세계 해석">다세계</a></li> <li><a href="/wiki/%EA%B0%9D%EA%B4%80%EC%A0%81_%EB%B6%95%EA%B4%B4_%EC%9D%B4%EB%A1%A0" title="객관적 붕괴 이론">객관적 붕괴</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90_%EB%85%BC%EB%A6%AC" title="양자 논리">양자 논리</a></li> <li><a href="/wiki/%EA%B4%80%EA%B3%84%EC%A0%81_%EC%96%91%EC%9E%90_%EC%97%AD%ED%95%99" title="관계적 양자 역학">관계적</a></li> <li><a href="https://en.wikipedia.org/wiki/Transactional_interpretation" class="extiw" title="w:Transactional interpretation">트랜잭션(transactional)</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;">고급 주제</div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"> <ul><li><a href="/wiki/%EC%83%81%EB%8C%80%EB%A1%A0%EC%A0%81_%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99" title="상대론적 양자역학">상대론적 양자역학</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90%EC%9E%A5%EB%A1%A0" title="양자장론">양자장론</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90_%EC%A0%95%EB%B3%B4_%EA%B3%BC%ED%95%99" class="mw-redirect" title="양자 정보 과학">양자 정보 과학</a></li> <li><a href="https://en.wikipedia.org/wiki/Quantum_computing" class="extiw" title="w:Quantum computing">양자 컴퓨팅(quantum computing)</a></li> <li><a href="https://en.wikipedia.org/wiki/Quantum_chaos" class="extiw" title="w:Quantum chaos">양자 카오스(quantum chaos)</a></li> <li><a href="/wiki/EPR_%EC%97%AD%EC%84%A4" title="EPR 역설">EPR 역설</a></li> <li><a href="/wiki/%EB%B0%80%EB%8F%84_%ED%96%89%EB%A0%AC" title="밀도 행렬">밀도 행렬</a></li> <li><a href="/wiki/%EC%82%B0%EB%9E%80_%EC%9D%B4%EB%A1%A0" title="산란 이론">산란 이론</a></li> <li><a href="/wiki/%EC%96%91%EC%9E%90%ED%86%B5%EA%B3%84%EC%97%AD%ED%95%99" title="양자통계역학">양자통계역학</a></li> <li><a href="https://en.wikipedia.org/wiki/Quantum_machine_learning" class="extiw" title="w:Quantum machine learning">양자 기계 학습(quantum machine learning)</a></li></ul></div></div></td> </tr><tr><td class="sidebar-content"> <div class="sidebar-list mw-collapsible mw-collapsed"><div class="sidebar-list-title" style="text-align:center;">과학자</div><div class="sidebar-list-content mw-collapsible-content" style="border-top:1px solid #aaa;border-bottom:1px solid #aaa;"><div class="hlist"> <ul><li><a href="https://en.wikipedia.org/wiki/Yakir_Aharonov" class="extiw" title="w:Yakir Aharonov">아하로노프<sub>Aharonov</sub></a></li> <li><a href="/wiki/%EC%A1%B4_%EC%8A%A4%ED%8A%9C%EC%96%B4%ED%8A%B8_%EB%B2%A8" title="존 스튜어트 벨">벨</a></li> <li><a href="/wiki/%ED%95%9C%EC%8A%A4_%EB%B2%A0%ED%85%8C" title="한스 베테">베테</a></li> <li><a href="/wiki/%ED%8C%A8%ED%8A%B8%EB%A6%AD_%EB%B8%94%EB%9E%98%ED%82%B7" title="패트릭 블래킷">블래킷</a></li> <li><a href="/wiki/%ED%8E%A0%EB%A6%AD%EC%8A%A4_%EB%B8%94%EB%A1%9C%ED%9D%90" title="펠릭스 블로흐">블로흐</a></li> <li><a href="/wiki/%EB%8D%B0%EC%9D%B4%EB%B9%84%EB%93%9C_%EB%B4%84" title="데이비드 봄">봄</a></li> <li><a href="/wiki/%EB%8B%90%EC%8A%A4_%EB%B3%B4%EC%96%B4" title="닐스 보어">보어</a></li> <li><a href="/wiki/%EB%A7%89%EC%8A%A4_%EB%B3%B4%EB%A5%B8" title="막스 보른">보른</a></li> <li><a href="/wiki/%EC%82%AC%ED%8B%B0%EC%97%94%EB%93%9C%EB%9D%BC_%EB%82%98%ED%8A%B8_%EB%B3%B4%EC%8A%A4" title="사티엔드라 나트 보스">보스</a></li> <li><a href="/wiki/%EB%A3%A8%EC%9D%B4_%EB%93%9C_%EB%B8%8C%EB%A1%9C%EC%9D%B4" title="루이 드 브로이">드브로이</a></li> <li><a href="/wiki/%EC%95%84%EC%84%9C_%EC%BD%A4%ED%94%84%ED%84%B4" title="아서 콤프턴">콤프턴</a></li> <li><a href="/wiki/%ED%8F%B4_%EB%94%94%EB%9E%99" title="폴 디랙">디랙</a></li> <li><a href="/wiki/%ED%81%B4%EB%A6%B0%ED%84%B4_%EC%A1%B0%EC%A7%80%ED%94%84_%EB%8D%B0%EC%9D%B4%EB%B9%84%EC%8A%A8" title="클린턴 조지프 데이비슨">데이비슨</a></li> <li><a href="/wiki/%ED%94%BC%ED%84%B0_%EB%94%94%EB%B0%94%EC%9D%B4" title="피터 디바이">디바이</a></li> <li><a href="/wiki/%ED%8C%8C%EC%9A%B8_%EC%97%90%EB%A0%8C%ED%8E%98%EC%8A%A4%ED%8A%B8" title="파울 에렌페스트">에렌페스트</a></li> <li><a href="/wiki/%EC%95%8C%EB%B2%A0%EB%A5%B4%ED%8A%B8_%EC%95%84%EC%9D%B8%EC%8A%88%ED%83%80%EC%9D%B8" title="알베르트 아인슈타인">아인슈타인</a></li> <li><a href="/wiki/%ED%9C%B4_%EC%97%90%EB%B2%84%EB%A0%9B_3%EC%84%B8" title="휴 에버렛 3세">에버렛</a></li> <li><a href="/wiki/%EB%B8%94%EB%9D%BC%EB%94%94%EB%AF%B8%EB%A5%B4_%ED%8F%AC%ED%81%AC" title="블라디미르 포크">포크</a></li> <li><a href="/wiki/%EC%97%94%EB%A6%AC%EC%BD%94_%ED%8E%98%EB%A5%B4%EB%AF%B8" title="엔리코 페르미">페르미</a></li> <li><a href="/wiki/%EB%A6%AC%EC%B2%98%EB%93%9C_%ED%8C%8C%EC%9D%B8%EB%A8%BC" class="mw-redirect" title="리처드 파인먼">파인먼</a></li> <li><a href="/wiki/%EB%A1%9C%EC%9D%B4_J._%EA%B8%80%EB%9D%BC%EC%9A%B0%EB%B2%84" title="로이 J. 글라우버">글라우버</a></li> <li><a href="https://en.wikipedia.org/wiki/Martin_Gutzwiller" class="extiw" title="w:Martin Gutzwiller">구츠윌러<sub>Gutzwiller</sub></a></li> <li><a href="/wiki/%EB%B2%A0%EB%A5%B4%EB%84%88_%ED%95%98%EC%9D%B4%EC%A0%A0%EB%B2%A0%EB%A5%B4%ED%81%AC" title="베르너 하이젠베르크">하이젠베르크</a></li> <li><a href="/wiki/%EB%8B%A4%EB%B9%84%ED%8A%B8_%ED%9E%90%EB%B2%A0%EB%A5%B4%ED%8A%B8" title="다비트 힐베르트">힐베르트</a></li> <li><a href="/wiki/%ED%8C%8C%EC%8A%A4%EC%BF%A0%EC%95%8C_%EC%9A%94%EB%A5%B4%EB%8B%A8" title="파스쿠알 요르단">요르단</a></li> <li><a href="/wiki/%ED%97%A8%EB%93%9C%EB%A6%AD_%EC%95%88%ED%86%A0%EB%8B%88_%ED%81%AC%EB%9D%BC%EB%A8%B8%EB%A5%B4%EC%8A%A4" title="헨드릭 안토니 크라머르스">크라머르스</a></li> <li><a href="/wiki/%EB%B3%BC%ED%94%84%EA%B0%95_%ED%8C%8C%EC%9A%B8%EB%A6%AC" title="볼프강 파울리">파울리</a></li> <li><a href="/wiki/%EC%9C%8C%EB%A6%AC%EC%8A%A4_%EC%9C%A0%EC%A7%84_%EB%9E%A8" title="윌리스 유진 램">램</a></li> <li><a href="/wiki/%EB%A0%88%ED%94%84_%EB%9E%80%EB%8B%A4%EC%9A%B0" title="레프 란다우">란다우</a></li> <li><a href="/wiki/%EB%A7%89%EC%8A%A4_%ED%8F%B0_%EB%9D%BC%EC%9A%B0%EC%97%90" title="막스 폰 라우에">라우에</a></li> <li><a href="/wiki/%ED%97%A8%EB%A6%AC_%EB%AA%A8%EC%A6%90%EB%A6%AC_(%EB%AC%BC%EB%A6%AC%ED%95%99%EC%9E%90)" title="헨리 모즐리 (물리학자)">모즐리</a></li> <li><a href="/wiki/%EB%A1%9C%EB%B2%84%ED%8A%B8_%EC%95%A4%EB%93%9C%EB%A3%A8%EC%8A%A4_%EB%B0%80%EB%A6%AC%EC%BB%A8" title="로버트 앤드루스 밀리컨">밀리컨</a></li> <li><a href="/wiki/%ED%97%A4%EC%9D%B4%EC%BB%A4_%EC%B9%B4%EB%A9%94%EB%A5%BC%EB%A7%81_%EC%98%A4%EB%84%88%EC%8A%A4" title="헤이커 카메를링 오너스">오너스</a></li> <li><a href="/wiki/%EB%A7%89%EC%8A%A4_%ED%94%8C%EB%9E%91%ED%81%AC" title="막스 플랑크">플랑크</a></li> <li><a href="/wiki/%EC%9D%B4%EC%A7%80%EB%8F%84%EC%96%B4_%EC%95%84%EC%9D%B4%EC%9E%91_%EB%9D%BC%EB%B9%84" title="이지도어 아이작 라비">라비</a></li> <li><a href="/wiki/%EC%B0%AC%EB%93%9C%EB%9D%BC%EC%84%B8%EC%B9%B4%EB%9D%BC_%EB%B2%B5%EC%B9%B4%ED%83%80_%EB%9D%BC%EB%A7%8C" title="찬드라세카라 벵카타 라만">라만</a></li> <li><a href="/wiki/%EC%9A%94%ED%95%9C%EB%84%A4%EC%8A%A4_%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC" title="요한네스 뤼드베리">뤼드베리</a></li> <li><a href="/wiki/%EC%97%90%EB%A5%B4%EB%B9%88_%EC%8A%88%EB%A2%B0%EB%94%A9%EA%B1%B0" title="에르빈 슈뢰딩거">슈뢰딩거</a></li> <li><a href="https://en.wikipedia.org/wiki/Michelle_Simmons" class="extiw" title="w:Michelle Simmons">시몬스<sub>Simmons</sub></a></li> <li><a href="/wiki/%EC%95%84%EB%A5%B4%EB%86%80%ED%8A%B8_%EC%A1%B0%EB%A8%B8%ED%8E%A0%ED%8A%B8" title="아르놀트 조머펠트">조머펠트</a></li> <li><a href="/wiki/%EC%A1%B4_%ED%8F%B0_%EB%85%B8%EC%9D%B4%EB%A7%8C" title="존 폰 노이만">폰 노이만</a></li> <li><a href="/wiki/%ED%97%A4%EB%A5%B4%EB%A7%8C_%EB%B0%94%EC%9D%BC" title="헤르만 바일">바일</a></li> <li><a href="/wiki/%EB%B9%8C%ED%97%AC%EB%A6%84_%EB%B9%88" title="빌헬름 빈">빈</a></li> <li><a href="/wiki/%EC%9C%A0%EC%A7%84_%EC%9C%84%EA%B7%B8%EB%84%88" title="유진 위그너">위그너</a></li> <li><a href="/wiki/%ED%94%BC%ED%84%B0%EB%A5%B4_%EC%A0%9C%EC%9D%B4%EB%A7%8C" title="피터르 제이만">제이만</a></li> <li><a href="/wiki/%EC%95%88%ED%86%A4_%EC%B0%A8%EC%9D%BC%EB%A7%81%EA%B1%B0" title="안톤 차일링거">차일링거</a></li></ul> </div></div></div></td> </tr><tr><td class="sidebar-navbar" style="border-top:1px solid #aaa;padding-top:0.1em; [[분류:역학 틀]] [[분류:물리학 사이드바 틀]]"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><style data-mw-deduplicate="TemplateStyles:r34311309">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-보기"><a href="/wiki/%ED%8B%80:%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99" title="틀:양자역학"><abbr title="이 틀을 보기">v</abbr></a></li><li class="nv-토론"><a href="/wiki/%ED%8B%80%ED%86%A0%EB%A1%A0:%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99" title="틀토론:양자역학"><abbr title="이 틀에 관해 토론하기">t</abbr></a></li><li class="nv-편집"><a href="/wiki/%ED%8A%B9%EC%88%98:%EB%AC%B8%EC%84%9C%ED%8E%B8%EC%A7%91/%ED%8B%80:%EC%96%91%EC%9E%90%EC%97%AD%ED%95%99" title="특수:문서편집/틀:양자역학"><abbr title="이 틀을 편집하기">e</abbr></a></li></ul></div></td></tr></tbody></table> <p><b>뤼드베리 공식</b>(<span style="font-size: smaller;"><a href="/wiki/%EC%98%81%EC%96%B4" title="영어">영어</a>: </span><span lang="en">Rydberg formula</span>)은 <a href="/wiki/%EC%9E%85%EC%9E%90_%EB%AC%BC%EB%A6%AC%ED%95%99" class="mw-redirect" title="입자 물리학">입자 물리학</a>에서 대부분의 원소 스펙트럼 계열의 파장을 정확하게 구할 수 있는 공식으로, <a href="/wiki/1888%EB%85%84" title="1888년">1888년</a> 스웨덴의 <a href="/wiki/%EC%9A%94%ED%95%98%EB%84%A4%EC%8A%A4_%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC" class="mw-redirect" title="요하네스 뤼드베리">요하네스 뤼드베리</a>가 발견하였다. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="공식"><span id=".EA.B3.B5.EC.8B.9D"></span>공식</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC_%EA%B3%B5%EC%8B%9D&action=edit&section=1" title="부분 편집: 공식"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="수소의_경우"><span id=".EC.88.98.EC.86.8C.EC.9D.98_.EA.B2.BD.EC.9A.B0"></span>수소의 경우</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC_%EA%B3%B5%EC%8B%9D&action=edit&section=2" title="부분 편집: 수소의 경우"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>수소의 경우: </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 {\frac {1}{\lambda }}=R_{\infty }\left({\frac {1}{n_{1}^{2}}}-{\frac {1}{n_{2}^{2}}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <mi>λ<!-- λ --></mi> </mfrac> </mrow> <mo>=</mo> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞<!-- ∞ --></mi> </mrow> </msub> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msubsup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mfrac> </mrow> <mo>−<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msubsup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{\lambda }}=R_{\infty }\left({\frac {1}{n_{1}^{2}}}-{\frac {1}{n_{2}^{2}}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c1ba6ad3a90004d2ce86e66dbec3cfe50035d465" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:22.408ex; height:7.509ex;" alt="{\displaystyle {\frac {1}{\lambda }}=R_{\infty }\left({\frac {1}{n_{1}^{2}}}-{\frac {1}{n_{2}^{2}}}\right)}"></span></dd></dl> <p>여기서 </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 \lambda \!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>λ<!-- λ --></mi> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda \!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/fe01f3dea36045b374a4eb8f3e7c4b3a60be526d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.327ex; width:1.295ex; height:2.176ex;" alt="{\displaystyle \lambda \!}"></span>는 진공 속에서의 빛의 파장,</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 R_{\infty }\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>R</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">∞<!-- ∞ --></mi> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R_{\infty }\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3e63d1628ecd002176e523200e25d6bda1bc00e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:3.639ex; height:2.509ex;" alt="{\displaystyle R_{\infty }\!}"></span> 은 무한대에서 <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_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee784b70e772f55ede5e6e0bdc929994bff63413" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{1}}"></span>로 전이될 때의 <a href="/wiki/%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC_%EC%83%81%EC%88%98" title="뤼드베리 상수">뤼드베리 상수</a>,</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 n_{1}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/578ff5f1b90e861998f0c51814bfcdb670f9dd18" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{1}\!}"></span> 와 <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_{2}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{2}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/edf7b7cc5b65c67b82ac25ec9c94ca17c555cddd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{2}\!}"></span> 은 정수이며 <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_{1}<n_{2}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo><</mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1}<n_{2}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2373896ca6a33d8e47cf984dfcde8d62162e36b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:7.996ex; height:2.176ex;" alt="{\displaystyle n_{1}<n_{2}\!}"></span>여야 한다.</dd></dl> <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 n_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/ee784b70e772f55ede5e6e0bdc929994bff63413" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{1}}"></span>을 1로 하고, <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_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/840e456e3058bc0be28e5cf653b170cdbfcc3be4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{2}}"></span>를 2로 하여 1씩 증가시키면 다음과 같은 스펙트럼 계열의 뤼드베리 상수가 구해진다. 예를 들자면, <a href="/wiki/%EB%9D%BC%EC%9D%B4%EB%A8%BC_%EA%B3%84%EC%97%B4" title="라이먼 계열">라이먼 계열</a>인 경우 91 nm이며, 나머지는 : </p> <table class="wikitable"> <tbody><tr> <th>n<sub>1</sub></th> <th>n<sub>2</sub></th> <th>계열</th> <th>상수 </th></tr> <tr> <td>1</td> <td>2 → ∞</td> <td><a href="/wiki/%EB%9D%BC%EC%9D%B4%EB%A8%BC_%EA%B3%84%EC%97%B4" title="라이먼 계열">라이먼 계열</a></td> <td> 91.13 nm (<a href="/wiki/%EC%9E%90%EC%99%B8%EC%84%A0" title="자외선">자외선</a>) </td></tr> <tr> <td>2</td> <td>3 → ∞</td> <td><a href="/wiki/%EB%B0%9C%EB%A8%B8_%EA%B3%84%EC%97%B4" title="발머 계열">발머 계열</a></td> <td> 364.51 nm (<a href="/wiki/%EA%B0%80%EC%8B%9C%EA%B4%91%EC%84%A0" title="가시광선">가시광선</a>) </td></tr> <tr> <td>3</td> <td>4 → ∞</td> <td><a href="/wiki/%ED%8C%8C%EC%85%B4_%EA%B3%84%EC%97%B4" title="파셴 계열">파셴 계열</a></td> <td> 820.14 nm (<a href="/wiki/%EC%A0%81%EC%99%B8%EC%84%A0" title="적외선">적외선</a>) </td></tr> <tr> <td>4</td> <td>5 → ∞</td> <td><a href="/wiki/%EB%B8%8C%EB%9E%98%ED%82%B7_%EA%B3%84%EC%97%B4" title="브래킷 계열">브래킷 계열</a></td> <td>1458.03 nm (적외선) </td></tr> <tr> <td>5</td> <td>6 → ∞</td> <td><a href="/wiki/%ED%91%BC%ED%8A%B8_%EA%B3%84%EC%97%B4" title="푼트 계열">푼트 계열</a></td> <td>2278.17 nm (적외선) </td></tr> <tr> <td>6</td> <td>7 → ∞</td> <td><a href="/wiki/%ED%97%98%ED%94%84%EB%A6%AC_%EA%B3%84%EC%97%B4" title="험프리 계열">험프리 계열</a></td> <td>3280.56 nm (적외선) </td></tr></tbody></table> <div class="mw-heading mw-heading3"><h3 id="대부분의_다른_원소의_경우"><span id=".EB.8C.80.EB.B6.80.EB.B6.84.EC.9D.98_.EB.8B.A4.EB.A5.B8_.EC.9B.90.EC.86.8C.EC.9D.98_.EA.B2.BD.EC.9A.B0"></span>대부분의 다른 원소의 경우</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC_%EA%B3%B5%EC%8B%9D&action=edit&section=3" title="부분 편집: 대부분의 다른 원소의 경우"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>수소꼴 원자(hydrogen-like atom; 총 전자 수가 1개인 이온을 말하며, He<sup>+</sup>, Li<sup>2+</sup>, Be<sup>3+</sup> 등)로 확대시키면: </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 {\frac {1}{\lambda _{\mathrm {vac} }}}=RZ^{2}\left({\frac {1}{n_{1}^{2}}}-{\frac {1}{n_{2}^{2}}}\right)}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msub> <mi>λ<!-- λ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">v</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">c</mi> </mrow> </mrow> </msub> </mfrac> </mrow> <mo>=</mo> <mi>R</mi> <msup> <mi>Z</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mrow> <mo>(</mo> <mrow> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msubsup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mfrac> </mrow> <mo>−<!-- − --></mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>1</mn> <msubsup> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msubsup> </mfrac> </mrow> </mrow> <mo>)</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {1}{\lambda _{\mathrm {vac} }}}=RZ^{2}\left({\frac {1}{n_{1}^{2}}}-{\frac {1}{n_{2}^{2}}}\right)}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b847f166f829c35521f9865f68412f241dae44f4" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:25.948ex; height:7.509ex;" alt="{\displaystyle {\frac {1}{\lambda _{\mathrm {vac} }}}=RZ^{2}\left({\frac {1}{n_{1}^{2}}}-{\frac {1}{n_{2}^{2}}}\right)}"></span></dd></dl> <p>여기서 </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 \lambda _{\mathrm {vac} }\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>λ<!-- λ --></mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">v</mi> <mi mathvariant="normal">a</mi> <mi mathvariant="normal">c</mi> </mrow> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \lambda _{\mathrm {vac} }\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/29cc1009e00f609366a97e8920b28e1011278e2a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:4.007ex; height:2.509ex;" alt="{\displaystyle \lambda _{\mathrm {vac} }\!}"></span>는 진공 속에서의 빛의 파장,</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 R\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1d91a7cdaf18b7e9db06c3ef959015614820c0e7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.378ex; width:1.755ex; height:2.176ex;" alt="{\displaystyle R\!}"></span>는 그 원소의 <a href="/wiki/%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC_%EC%83%81%EC%88%98" title="뤼드베리 상수">뤼드베리 상수</a>,</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 Z\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Z</mi> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Z\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88bec877f25a5df3cec69c9eaefda96933547284" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; margin-right: -0.387ex; width:1.68ex; height:2.176ex;" alt="{\displaystyle Z\!}"></span>는 원자 번호 (어떤 원자의 양성자의 수 = 원자 번호)</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 n_{1}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/578ff5f1b90e861998f0c51814bfcdb670f9dd18" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{1}\!}"></span> and <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_{2}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{2}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/edf7b7cc5b65c67b82ac25ec9c94ca17c555cddd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:2.449ex; height:2.009ex;" alt="{\displaystyle n_{2}\!}"></span>는 정수이며 <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_{1}<n_{2}\!}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo><</mo> <msub> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mspace width="negativethinmathspace" /> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle n_{1}<n_{2}\!}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b2373896ca6a33d8e47cf984dfcde8d62162e36b" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; margin-right: -0.387ex; width:7.996ex; height:2.176ex;" alt="{\displaystyle n_{1}<n_{2}\!}"></span>여야 한다.</dd></dl> <p>뤼드베리 공식은 이러한 수소꼴 원소들을 대상으로 만들어진 것이며, 1개의 활성 전자를 가진 것은 확인할 수 없다. </p><p>따라서, 수정하자면 (바꾸면 <b>Z</b>에서 <b>Z−1</b>, 정수 1 과 2 중 1개를 선택해서 빼야만 <style data-mw-deduplicate="TemplateStyles:r34311117">.mw-parser-output .frac{white-space:nowrap}.mw-parser-output .frac .num,.mw-parser-output .frac .den{font-size:80%;line-height:0;vertical-align:super}.mw-parser-output .frac .den{vertical-align:sub}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}</style><span class="frac" role="math"><span class="num">3</span>⁄<span class="den">4</span></span> 크기의 역수를 만들 수 있다), 뤼드베리 공식은 <a href="/w/index.php?title=K-%EC%95%8C%ED%8C%8C&action=edit&redlink=1" class="new" title="K-알파 (없는 문서)">K-알파</a> 선의 모든 스펙트럼에서 정확하게 계산되며, 이는 곧 전자 오비탈 분포가 1s2 2s2 2p6까지 되어 있는 전자를 가진 원소의 스펙트럼 선이 정확함을 말한다. 다시 말하자면 뤼드베리 공식 f = c/λ = (라이먼 계열 알파 선의 파장의 주파수)*(Z−1)<sup>2</sup> (<a href="/wiki/%EB%AA%A8%EC%A6%90%EB%A6%AC%EC%9D%98_%EB%B2%95%EC%B9%99" title="모즐리의 법칙">모즐리의 법칙</a>에 의함) (<b>c</b>는 파장의 주파수로 값이 변할 수 있다)이며, 우리는 이것을 이용하여 어떤 특정 스펙트럼 선의 파장을 예상할 수 있다. (K<sub>α</sub> 이용) 한편, X 선 스펙트럼의 경우 <a href="/wiki/%EC%95%8C%EB%A3%A8%EB%AF%B8%EB%8A%84" title="알루미늄">알루미늄</a>과 <a href="/wiki/%EA%B8%88" title="금">금</a>에서 많이 나타난다. </p><p>한편, 2개 이상의 전자를 가진 원소의 스펙트럼 파장을 구하기 위해 뤼드베리 공식을 적용시키면, 오히려 틀린 결과를 내놓는 것에 주의해야 한다. </p> <div class="mw-heading mw-heading2"><h2 id="같이_보기"><span id=".EA.B0.99.EC.9D.B4_.EB.B3.B4.EA.B8.B0"></span>같이 보기</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC_%EA%B3%B5%EC%8B%9D&action=edit&section=4" title="부분 편집: 같이 보기"><span>편집</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/%EB%B0%9C%EB%A8%B8_%EA%B3%84%EC%97%B4" title="발머 계열">발머 계열</a></li> <li><a href="/wiki/%EC%88%98%EC%86%8C%EC%84%A0" title="수소선">수소선</a></li></ul> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r36480591"><style 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href="/wiki/%ED%8C%8C%EC%85%B4_%EA%B3%84%EC%97%B4" title="파셴 계열">파셴 계열</a></li> <li><a href="/wiki/%EB%B8%8C%EB%9E%98%ED%82%B7_%EA%B3%84%EC%97%B4" title="브래킷 계열">브래킷 계열</a></li> <li><a href="/wiki/%ED%91%BC%ED%8A%B8_%EA%B3%84%EC%97%B4" title="푼트 계열">푼트 계열</a></li> <li><a href="/wiki/%ED%97%98%ED%94%84%EB%A6%AC_%EA%B3%84%EC%97%B4" title="험프리 계열">험프리 계열</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">공식</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a class="mw-selflink selflink">뤼드베리 공식</a></li> <li><a href="/wiki/%EB%A4%BC%EB%93%9C%EB%B2%A0%EB%A6%AC_%EC%83%81%EC%88%98" title="뤼드베리 상수">뤼드베리 상수</a></li></ul> </div></td></tr></tbody></table></div> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐849f99967d‐m8bvs Cached time: 20241123021414 Cache expiry: 2592000 Reduced expiry: false Complications: [show‐toc] CPU time usage: 0.297 seconds Real time 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