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Scala di magnitudo del momento sismico - Wikipedia

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<span>Collegamenti esterni</span> </div> </a> <ul id="toc-Collegamenti_esterni-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="Indice" 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="Mostra/Nascondi l&#039;indice" > <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">Mostra/Nascondi l&#039;indice</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">Scala di magnitudo del momento sismico</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="Vai a una voce in un&#039;altra lingua. Disponibile in 49 lingue" > <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-49" 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">49 lingue</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/Moment-magnitude-skaal" title="Moment-magnitude-skaal - afrikaans" lang="af" hreflang="af" data-title="Moment-magnitude-skaal" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D9%82%D9%8A%D8%A7%D8%B3_%D8%AF%D8%B1%D8%AC%D8%A9_%D8%A7%D9%84%D8%B9%D8%B2%D9%85" title="مقياس درجة العزم - arabo" lang="ar" hreflang="ar" data-title="مقياس درجة العزم" data-language-autonym="العربية" data-language-local-name="arabo" 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/Moment_maqnitud_%C5%9Fkalas%C4%B1" title="Moment maqnitud şkalası - azerbaigiano" lang="az" hreflang="az" data-title="Moment maqnitud şkalası" data-language-autonym="Azərbaycanca" data-language-local-name="azerbaigiano" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D0%BA%D0%B0%D0%BB%D0%B0_%D0%BD%D0%B0_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82%D0%BD%D0%B8%D1%8F_%D0%BC%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D1%83%D0%B4" title="Скала на моментния магнитуд - bulgaro" lang="bg" hreflang="bg" data-title="Скала на моментния магнитуд" data-language-autonym="Български" data-language-local-name="bulgaro" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AE%E0%A7%8B%E0%A6%AE%E0%A7%87%E0%A6%A8%E0%A7%8D%E0%A6%9F_%E0%A6%AA%E0%A6%B0%E0%A6%BF%E0%A6%AE%E0%A6%BE%E0%A6%AA_%E0%A6%B8%E0%A7%8D%E0%A6%95%E0%A7%87%E0%A6%B2" title="মোমেন্ট পরিমাপ স্কেল - bengalese" lang="bn" hreflang="bn" data-title="মোমেন্ট পরিমাপ স্কেল" data-language-autonym="বাংলা" data-language-local-name="bengalese" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Escala_sismol%C3%B2gica_de_magnitud_de_moment" title="Escala sismològica de magnitud de moment - catalano" lang="ca" hreflang="ca" data-title="Escala sismològica de magnitud de moment" data-language-autonym="Català" data-language-local-name="catalano" 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/Momentov%C3%A1_%C5%A1k%C3%A1la" title="Momentová škála - ceco" lang="cs" hreflang="cs" data-title="Momentová škála" data-language-autonym="Čeština" data-language-local-name="ceco" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Graddfa_maint_moment" title="Graddfa maint moment - gallese" lang="cy" hreflang="cy" data-title="Graddfa maint moment" data-language-autonym="Cymraeg" data-language-local-name="gallese" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Momentmagnitude-skalaen" title="Momentmagnitude-skalaen - danese" lang="da" hreflang="da" data-title="Momentmagnitude-skalaen" data-language-autonym="Dansk" data-language-local-name="danese" 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/Momenten-Magnituden-Skala" title="Momenten-Magnituden-Skala - tedesco" lang="de" hreflang="de" data-title="Momenten-Magnituden-Skala" data-language-autonym="Deutsch" data-language-local-name="tedesco" 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%9C%CE%AD%CE%B3%CE%B5%CE%B8%CE%BF%CF%82_%CF%83%CE%B5%CE%B9%CF%83%CE%BC%CE%B9%CE%BA%CE%AE%CF%82_%CF%81%CE%BF%CF%80%CE%AE%CF%82" title="Μέγεθος σεισμικής ροπής - greco" lang="el" hreflang="el" data-title="Μέγεθος σεισμικής ροπής" data-language-autonym="Ελληνικά" data-language-local-name="greco" 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/Moment_magnitude_scale" title="Moment magnitude scale - inglese" lang="en" hreflang="en" data-title="Moment magnitude scale" data-language-autonym="English" data-language-local-name="inglese" 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/Momant-magnituda_skalo" title="Momant-magnituda skalo - esperanto" lang="eo" hreflang="eo" data-title="Momant-magnituda skalo" 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/Escala_sismol%C3%B3gica_de_magnitud_de_momento" title="Escala sismológica de magnitud de momento - spagnolo" lang="es" hreflang="es" data-title="Escala sismológica de magnitud de momento" data-language-autonym="Español" data-language-local-name="spagnolo" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Momentu_magnitude_eskala" title="Momentu magnitude eskala - basco" lang="eu" hreflang="eu" data-title="Momentu magnitude eskala" data-language-autonym="Euskara" data-language-local-name="basco" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D9%82%DB%8C%D8%A7%D8%B3_%D8%A8%D8%B2%D8%B1%DA%AF%DB%8C_%DA%AF%D8%B4%D8%AA%D8%A7%D9%88%D8%B1%DB%8C" title="مقیاس بزرگی گشتاوری - persiano" lang="fa" hreflang="fa" data-title="مقیاس بزرگی گشتاوری" data-language-autonym="فارسی" data-language-local-name="persiano" 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/Momenttimagnitudi" title="Momenttimagnitudi - finlandese" lang="fi" hreflang="fi" data-title="Momenttimagnitudi" data-language-autonym="Suomi" data-language-local-name="finlandese" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Magnitude_de_moment" title="Magnitude de moment - francese" lang="fr" hreflang="fr" data-title="Magnitude de moment" data-language-autonym="Français" data-language-local-name="francese" 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/Escala_sismol%C3%B3xica_de_magnitude_de_momento" title="Escala sismolóxica de magnitude de momento - galiziano" lang="gl" hreflang="gl" data-title="Escala sismolóxica de magnitude de momento" data-language-autonym="Galego" data-language-local-name="galiziano" 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%A1%D7%95%D7%9C%D7%9D_%D7%9E%D7%92%D7%A0%D7%99%D7%98%D7%95%D7%93%D7%94_%D7%9C%D7%A4%D7%99_%D7%9E%D7%95%D7%9E%D7%A0%D7%98" title="סולם מגניטודה לפי מומנט - ebraico" lang="he" hreflang="he" data-title="סולם מגניטודה לפי מומנט" data-language-autonym="עברית" data-language-local-name="ebraico" 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%86%E0%A4%98%E0%A5%82%E0%A4%B0%E0%A5%8D%E0%A4%A3_%E0%A4%AA%E0%A4%B0%E0%A4%BF%E0%A4%AE%E0%A4%BE%E0%A4%A3_%E0%A4%AE%E0%A4%BE%E0%A4%AA%E0%A4%95%E0%A5%8D%E0%A4%B0%E0%A4%AE" title="आघूर्ण परिमाण मापक्रम - hindi" lang="hi" hreflang="hi" data-title="आघूर्ण परिमाण मापक्रम" data-language-autonym="हिन्दी" data-language-local-name="hindi" 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/Ech%C3%A8l_val%C3%A8_MMS" title="Echèl valè MMS - creolo haitiano" lang="ht" hreflang="ht" data-title="Echèl valè MMS" data-language-autonym="Kreyòl ayisyen" data-language-local-name="creolo haitiano" class="interlanguage-link-target"><span>Kreyòl ayisyen</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B5%D6%80%D5%AF%D6%80%D5%A1%D5%B7%D5%A1%D6%80%D5%AA%D5%AB_%D5%B4%D5%A1%D5%A3%D5%B6%D5%AB%D5%BF%D5%B8%D6%82%D5%A4" title="Երկրաշարժի մագնիտուդ - armeno" lang="hy" hreflang="hy" data-title="Երկրաշարժի մագնիտուդ" data-language-autonym="Հայերեն" data-language-local-name="armeno" 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/Skala_magnitudo_momen" title="Skala magnitudo momen - indonesiano" lang="id" hreflang="id" data-title="Skala magnitudo momen" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonesiano" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%A2%E3%83%BC%E3%83%A1%E3%83%B3%E3%83%88%E3%83%BB%E3%83%9E%E3%82%B0%E3%83%8B%E3%83%81%E3%83%A5%E3%83%BC%E3%83%89" title="モーメント・マグニチュード - giapponese" lang="ja" hreflang="ja" data-title="モーメント・マグニチュード" data-language-autonym="日本語" data-language-local-name="giapponese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%9B%E1%83%90%E1%83%92%E1%83%9C%E1%83%98%E1%83%A2%E1%83%A3%E1%83%93%E1%83%90" title="მაგნიტუდა - georgiano" lang="ka" hreflang="ka" data-title="მაგნიტუდა" data-language-autonym="ქართული" data-language-local-name="georgiano" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-ko badge-Q17437798 badge-goodarticle mw-list-item" title="voce di qualità"><a href="https://ko.wikipedia.org/wiki/%EB%AA%A8%EB%A9%98%ED%8A%B8_%EA%B7%9C%EB%AA%A8" title="모멘트 규모 - coreano" lang="ko" hreflang="ko" data-title="모멘트 규모" data-language-autonym="한국어" data-language-local-name="coreano" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A1%D0%BA%D0%B0%D0%BB%D0%B0_%D0%BD%D0%B0_%D0%BC%D0%BE%D0%BC%D0%B5%D0%BD%D1%82%D0%BD%D0%B0_%D0%BC%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D1%83%D0%B4%D0%B0" title="Скала на моментна магнитуда - macedone" lang="mk" hreflang="mk" data-title="Скала на моментна магнитуда" data-language-autonym="Македонски" data-language-local-name="macedone" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Skala_magnitud_momen" title="Skala magnitud momen - malese" lang="ms" hreflang="ms" data-title="Skala magnitud momen" data-language-autonym="Bahasa Melayu" data-language-local-name="malese" 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/Momentmagnitudeschaal" title="Momentmagnitudeschaal - olandese" lang="nl" hreflang="nl" data-title="Momentmagnitudeschaal" data-language-autonym="Nederlands" data-language-local-name="olandese" 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/Momentmagnitude" title="Momentmagnitude - norvegese nynorsk" lang="nn" hreflang="nn" data-title="Momentmagnitude" data-language-autonym="Norsk nynorsk" data-language-local-name="norvegese 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/Momentmagnitude" title="Momentmagnitude - norvegese bokmål" lang="nb" hreflang="nb" data-title="Momentmagnitude" data-language-autonym="Norsk bokmål" data-language-local-name="norvegese bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Magnituda" title="Magnituda - polacco" lang="pl" hreflang="pl" data-title="Magnituda" data-language-autonym="Polski" data-language-local-name="polacco" 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/Escala_de_magnitude_de_momento" title="Escala de magnitude de momento - portoghese" lang="pt" hreflang="pt" data-title="Escala de magnitude de momento" data-language-autonym="Português" data-language-local-name="portoghese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Scara_de_magnitudine_a_momentului_seismic" title="Scara de magnitudine a momentului seismic - rumeno" lang="ro" hreflang="ro" data-title="Scara de magnitudine a momentului seismic" data-language-autonym="Română" data-language-local-name="rumeno" 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%9C%D0%B0%D0%B3%D0%BD%D0%B8%D1%82%D1%83%D0%B4%D0%B0_%D0%B7%D0%B5%D0%BC%D0%BB%D0%B5%D1%82%D1%80%D1%8F%D1%81%D0%B5%D0%BD%D0%B8%D1%8F" title="Магнитуда землетрясения - russo" lang="ru" hreflang="ru" data-title="Магнитуда землетрясения" data-language-autonym="Русский" data-language-local-name="russo" 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/Magnituda_potresa" title="Magnituda potresa - serbo-croato" lang="sh" hreflang="sh" data-title="Magnituda potresa" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbo-croato" 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/Moment_magnitude_scale" title="Moment magnitude scale - Simple English" lang="en-simple" hreflang="en-simple" data-title="Moment magnitude scale" 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/Momentov%C3%A9_magnit%C3%BAdo" 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data-event-name="pinnable-header.vector-appearance.unpin">nascondi</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">Da Wikipedia, l&#039;enciclopedia libera.</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="it" dir="ltr"><p>La <b>scala di magnitudo del momento sismico</b><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> (conosciuta anche con l'acronimo <a href="/wiki/Lingua_inglese" title="Lingua inglese">inglese</a> <b>MMS</b>, da <i>moment magnitude scale</i>, nel linguaggio giornalistico spesso chiamata semplicemente <b>magnitudo momento</b>) è una <a href="/wiki/Scala_sismica" title="Scala sismica">scala di misurazione</a> sismica utilizzata dai <a href="/wiki/Sismologia" title="Sismologia">sismologi</a> per misurare le dimensioni dei <a href="/wiki/Terremoto" title="Terremoto">terremoti</a> in termini di energia liberata.<sup id="cite_ref-MMSperHanks_2-0" class="reference"><a href="#cite_note-MMSperHanks-2"><span class="cite-bracket">&#91;</span>2<span class="cite-bracket">&#93;</span></a></sup> Si basa sul <a href="/wiki/Momento_sismico" title="Momento sismico">momento sismico</a> del terremoto, che è uguale alla <a href="/wiki/Rigidezza" title="Rigidezza">rigidezza</a> della <a href="/wiki/Terra" title="Terra">Terra</a> moltiplicata per il momento medio di spostamento della <a href="/wiki/Faglia" title="Faglia">faglia</a> e la dimensione dell'area dislocata.<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><p>Sviluppata negli <a href="/wiki/Anni_1970" title="Anni 1970">anni settanta</a> come aggiornamento della <a href="/wiki/Scala_Richter" title="Scala Richter">scala Richter</a> introdotta negli <a href="/wiki/Anni_1930" title="Anni 1930">anni trenta</a>, anche se la formulazione è diversa, la nuova scala mantiene un continuum di valori simile a quello della scala Richter ed è attualmente diventata il metodo standard per la misura dei moderni terremoti da parte dello <a href="/wiki/United_States_Geological_Survey" title="United States Geological Survey">United States Geological Survey</a>.<sup id="cite_ref-USGSMagPolicy_4-0" class="reference"><a href="#cite_note-USGSMagPolicy-4"><span class="cite-bracket">&#91;</span>4<span class="cite-bracket">&#93;</span></a></sup> Nei resoconti stampa sui terremoti, spesso le due scale vengono confuse e i valori indicati come misurati sulla scala Richter. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Derivazione_matematica">Derivazione matematica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;veaction=edit&amp;section=1" title="Modifica la sezione Derivazione matematica" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;action=edit&amp;section=1" title="Edit section&#039;s source code: Derivazione matematica"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Il simbolo della scala magnitudo momento è <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 M_{\mathrm {w} }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">w</mi> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{\mathrm {w} }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eab2dce5d0ec1d38c3a975516878c3511e2af442" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.673ex; height:2.509ex;" alt="{\displaystyle M_{\mathrm {w} }}"></span>, con la w <a href="/wiki/Apice_e_pedice" title="Apice e pedice">pedice</a> che significa <a href="/wiki/Lavoro_meccanico" class="mw-redirect" title="Lavoro meccanico">lavoro meccanico</a>. La magnitudine del momento <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 M_{\mathrm {w} }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">w</mi> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{\mathrm {w} }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/eab2dce5d0ec1d38c3a975516878c3511e2af442" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.673ex; height:2.509ex;" alt="{\displaystyle M_{\mathrm {w} }}"></span> è un numero <a href="/wiki/Adimensionale" class="mw-redirect" title="Adimensionale">adimensionale</a> definito da </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 M_{\mathrm {w} }={\frac {2}{3}}\log _{10}(M_{0})-6}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">w</mi> </mrow> </mrow> </msub> <mo>=</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>&#x2061;<!-- ⁡ --></mo> <mo stretchy="false">(</mo> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo stretchy="false">)</mo> <mo>&#x2212;<!-- − --></mo> <mn>6</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{\mathrm {w} }={\frac {2}{3}}\log _{10}(M_{0})-6}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/084d2f33671f8d8b444a61499471122b30d168bb" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.838ex; width:23.125ex; height:5.176ex;" alt="{\displaystyle M_{\mathrm {w} }={\frac {2}{3}}\log _{10}(M_{0})-6}"></span></dd></dl> <p>dove <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 M_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/909a62f3ff41169372143733d3767afe0ad3b14d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.308ex; height:2.509ex;" alt="{\displaystyle M_{0}}"></span> è il <a href="/wiki/Momento_sismico" title="Momento sismico">momento sismico</a> all'<a href="/wiki/Ipocentro" title="Ipocentro">ipocentro</a> da esprimere in <a href="/wiki/Newton_per_metro" class="mw-redirect" title="Newton per metro">N·m</a>. Le costanti sono scelte in modo da avere valori simili alle scale precedentemente utilizzate (es. <a href="/wiki/Scala_Richter" title="Scala Richter">scala Richter</a>). </p> <div class="mw-heading mw-heading2"><h2 id="Correlazione_tra_le_scale">Correlazione tra le scale</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;veaction=edit&amp;section=2" title="Modifica la sezione Correlazione tra le scale" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;action=edit&amp;section=2" title="Edit section&#039;s source code: Correlazione tra le scale"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Analogamente alla Scala Richter, la scala MMS è <a href="/wiki/Scala_logaritmica" title="Scala logaritmica">logaritmica</a>: essendo i valori della scala pari ai 2/3 del logaritmo decimale del momento sismico (a meno di una costante), ogni aumento di un grado corrisponde a circa 32 volte l'energia del terremoto del grado precedente (più precisamente 10<sup>3/2</sup> ≈ 31,6 volte). Così, un terremoto di magnitudo 5 libera 32 volte l'energia di uno di magnitudo 4 ed esattamente 1000 volte (10<sup>3/2</sup> × 10<sup>3/2</sup> volte) l'energia di uno di magnitudo 3 e così via. </p><p>La formula seguente, ottenuta risolvendo l'equazione precedente per <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 M_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/909a62f3ff41169372143733d3767afe0ad3b14d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.308ex; height:2.509ex;" alt="{\displaystyle M_{0}}"></span>, permette di stabilire la differenza proporzionale <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 f_{\Delta E}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>f</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mi>E</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f_{\Delta E}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b1a5b25304de07e2db1a24b2a3d877b5fbd572d7" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.996ex; height:2.509ex;" alt="{\displaystyle f_{\Delta E}}"></span> nell'energia rilasciata da terremoti di due differenti magnitudo, <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 m_{1}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{1}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/31aafa60e48d39ccce922404c0b80340b2cc777a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.095ex; height:2.009ex;" alt="{\displaystyle m_{1}}"></span> e <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 m_{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle m_{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0ecebe334d5cadc3ffcf245eb02919034d7a2ec8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.095ex; height:2.009ex;" alt="{\displaystyle m_{2}}"></span>: </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 f_{\Delta E}=10^{{\frac {3}{2}}(m_{1}-m_{2})}.}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>f</mi> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">&#x0394;<!-- Δ --></mi> <mi>E</mi> </mrow> </msub> <mo>=</mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>3</mn> <mn>2</mn> </mfrac> </mrow> <mo stretchy="false">(</mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>1</mn> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <msub> <mi>m</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msub> <mo stretchy="false">)</mo> </mrow> </msup> <mo>.</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle f_{\Delta E}=10^{{\frac {3}{2}}(m_{1}-m_{2})}.}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b745aa1bd76da68a165fd1ff5704a8e33ef7b7fe" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:18.908ex; height:3.843ex;" alt="{\displaystyle f_{\Delta E}=10^{{\frac {3}{2}}(m_{1}-m_{2})}.}"></span></dd></dl> <p>Così un terremoto con una magnitudo momento di 7 scatena un'energia 5,62 volte più grande di uno con una magnitudo momento 6,5. </p> <div class="mw-heading mw-heading2"><h2 id="Rilascio_di_energia_sismica">Rilascio di energia sismica</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;veaction=edit&amp;section=3" title="Modifica la sezione Rilascio di energia sismica" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;action=edit&amp;section=3" title="Edit section&#039;s source code: Rilascio di energia sismica"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>L'energia potenziale è immagazzinata nella crosta sotto forma di tensione accumulata. Durante un terremoto, l'energia immagazzinata viene trasformata e produce: </p> <ul><li>fessurazioni e deformazione delle rocce</li> <li>calore</li> <li>energia sismica rilasciata <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_{s}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mi>s</mi> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{s}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b0c1623a2086aff18584e32b589d83c06ac4cdda" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.719ex; height:2.509ex;" alt="{\displaystyle E_{s}}"></span></li></ul> <p>Il momento sismico <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 M_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/909a62f3ff41169372143733d3767afe0ad3b14d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.308ex; height:2.509ex;" alt="{\displaystyle M_{0}}"></span> è una misura della quantità totale di energia che si trasforma durante un terremoto. Solo una piccola frazione del momento sismico <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 M_{0}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{0}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/909a62f3ff41169372143733d3767afe0ad3b14d" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:3.308ex; height:2.509ex;" alt="{\displaystyle M_{0}}"></span> è convertita in energia sismica rilasciata <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_{\mathrm {s} }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {s} }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/36a5e0e5b67cf71adcddee7e770711aa632dde77" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.595ex; height:2.509ex;" alt="{\displaystyle E_{\mathrm {s} }}"></span>, che è quella che viene registrata dai <a href="/wiki/Sismografo" title="Sismografo">sismografi</a>. </p><p>Usando l'approssimazione&#160;: <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_{\mathrm {s} }=M_{0}\cdot 10^{-4.8}=M_{0}\cdot 1.6\times 10^{-5},}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> </mrow> </mrow> </msub> <mo>=</mo> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>4.8</mn> </mrow> </msup> <mo>=</mo> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>0</mn> </mrow> </msub> <mo>&#x22C5;<!-- ⋅ --></mo> <mn>1.6</mn> <mo>&#x00D7;<!-- × --></mo> <msup> <mn>10</mn> <mrow class="MJX-TeXAtom-ORD"> <mo>&#x2212;<!-- − --></mo> <mn>5</mn> </mrow> </msup> <mo>,</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {s} }=M_{0}\cdot 10^{-4.8}=M_{0}\cdot 1.6\times 10^{-5},}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a5844f8184f5906edf97ca3e0f68fb999a3f2a6a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:35.821ex; height:3.009ex;" alt="{\displaystyle E_{\mathrm {s} }=M_{0}\cdot 10^{-4.8}=M_{0}\cdot 1.6\times 10^{-5},}"></span> </p><p>Choy e Boatwright definirono nel 1995 la <i>magnitudo energia</i><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">&#91;</span>5<span class="cite-bracket">&#93;</span></a></sup> </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 M_{\mathrm {e} }=\textstyle {\frac {2}{3}}\log _{10}E_{\mathrm {s} }-2.9}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>M</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">e</mi> </mrow> </mrow> </msub> <mo>=</mo> <mstyle displaystyle="false" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <mn>2</mn> <mn>3</mn> </mfrac> </mrow> <msub> <mi>log</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>10</mn> </mrow> </msub> <mo>&#x2061;<!-- ⁡ --></mo> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> </mrow> </mrow> </msub> <mo>&#x2212;<!-- − --></mo> <mn>2.9</mn> </mstyle> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle M_{\mathrm {e} }=\textstyle {\frac {2}{3}}\log _{10}E_{\mathrm {s} }-2.9}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/305ae5ff9a4075c7bec866b5d5353dbc3449f59a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -1.338ex; width:22.003ex; height:3.676ex;" alt="{\displaystyle M_{\mathrm {e} }=\textstyle {\frac {2}{3}}\log _{10}E_{\mathrm {s} }-2.9}"></span></dd></dl> <p>dove <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_{\mathrm {s} }}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msub> <mi>E</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mi mathvariant="normal">s</mi> </mrow> </mrow> </msub> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle E_{\mathrm {s} }}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/36a5e0e5b67cf71adcddee7e770711aa632dde77" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:2.595ex; height:2.509ex;" alt="{\displaystyle E_{\mathrm {s} }}"></span> è in <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle N\cdot m}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>N</mi> <mo>&#x22C5;<!-- ⋅ --></mo> <mi>m</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle N\cdot m}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5fa413709423bda44dcfaf3a29d45133244f659c" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:5.783ex; height:2.176ex;" alt="{\displaystyle N\cdot m}"></span>. </p> <div class="mw-heading mw-heading2"><h2 id="Note">Note</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;veaction=edit&amp;section=4" title="Modifica la sezione Note" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;action=edit&amp;section=4" title="Edit section&#039;s source code: Note"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><a href="#cite_ref-1"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20141011214534/http://www.ingv.it/ufficio-stampa/faq/terremoti/magnitudo-richter-ml-e-magnitudo-momento-mw-perche-possono-essere-differenti"><span style="font-style:italic;">INGV Magnitudo Richter e Magnitudo Momento</span></a>, su <span style="font-style:italic;">ingv.it</span>. <small>URL consultato il 7 ottobre 2014</small> <small>(archiviato dall'<abbr title="http&#58;//www.ingv.it/ufficio-stampa/faq/terremoti/magnitudo-richter-ml-e-magnitudo-momento-mw-perche-possono-essere-differenti">url originale</abbr> l'11 ottobre 2014)</small>.</cite></span> </li> <li id="cite_note-MMSperHanks-2"><a href="#cite_ref-MMSperHanks_2-0"><b>^</b></a> <span class="reference-text"><cite class="citation pubblicazione" style="font-style:normal"> <a href="/wiki/Thomas_C._Hanks" title="Thomas C. Hanks">Thomas C. Hanks</a> e Hiroo Kanamori, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100821063413/http://www.gps.caltech.edu/uploads/File/People/kanamori/HKjgr79d.pdf"><span style="font-style:italic;">Moment magnitude scale</span></a> (<span style="font-weight: bolder; font-size:80%"><abbr title="documento in formato PDF">PDF</abbr></span>), in <span style="font-style:italic;">Journal of Geophysical Research</span>, vol.&#160;84, B5, maggio 1979, pp.&#160;2348–50, <a href="/wiki/Bibcode" title="Bibcode">Bibcode</a>:<a rel="nofollow" class="external text" href="http://adsabs.harvard.edu/abs/1979JGR....84.2348H">1979JGR....84.2348H</a>, <a href="/wiki/Digital_object_identifier" title="Digital object identifier">DOI</a>:<a rel="nofollow" class="external text" href="https://dx.doi.org/10.1029%2FJB084iB05p02348">10.1029/JB084iB05p02348</a> <small>(archiviato dall'<abbr title="https&#58;//www.gps.caltech.edu/uploads/File/People/kanamori/HKjgr79d.pdf">url originale</abbr> il 21 agosto 2010)</small>.</cite></span> </li> <li id="cite_note-3"><a href="#cite_ref-3"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://earthquake.usgs.gov/eqcenter/glossary.php#magnitude"><span style="font-style:italic;">Glossary of Terms on Earthquake Maps</span></a>, su <span style="font-style:italic;">earthquake.usgs.gov</span>, <a href="/wiki/USGS" class="mw-redirect" title="USGS">USGS</a>. <small>URL consultato il 21 marzo 2009</small>.</cite></span> </li> <li id="cite_note-USGSMagPolicy-4"><a href="#cite_ref-USGSMagPolicy_4-0"><b>^</b></a> <span class="reference-text"><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://earthquake.usgs.gov/aboutus/docs/020204mag_policy.php"><span style="font-style:italic;">USGS Earthquake Magnitude Policy (implemented on January 18, 2002)</span></a>, su <span style="font-style:italic;">earthquake.usgs.gov</span>.</cite></span> </li> <li id="cite_note-5"><a href="#cite_ref-5"><b>^</b></a> <span class="reference-text"><cite class="citation pubblicazione" style="font-style:normal"> George L. Choy e John L. Boatwright, <a rel="nofollow" class="external text" href="https://web.archive.org/web/20110606004440/http://www.agu.org/pubs/crossref/1995/95JB01969.shtml"><span style="font-style:italic;">Global patterns of radiated seismic energy and apparent stress</span></a>, in <span style="font-style:italic;">Journal of Geophysical Research</span>, vol.&#160;100, B9, 1995, pp.&#160;18205–28, <a href="/wiki/Bibcode" title="Bibcode">Bibcode</a>:<a rel="nofollow" class="external text" href="http://adsabs.harvard.edu/abs/1995JGR...10018205C">1995JGR...10018205C</a>, <a href="/wiki/Digital_object_identifier" title="Digital object identifier">DOI</a>:<a rel="nofollow" class="external text" href="https://dx.doi.org/10.1029%2F95JB01969">10.1029/95JB01969</a>. <small>URL consultato il 7 novembre 2015</small> <small>(archiviato dall'<abbr title="http&#58;//www.agu.org/pubs/crossref/1995/95JB01969.shtml">url originale</abbr> il 6 giugno 2011)</small>.</cite></span> </li> </ol></div> <div class="mw-heading mw-heading2"><h2 id="Bibliografia">Bibliografia</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;veaction=edit&amp;section=5" title="Modifica la sezione Bibliografia" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;action=edit&amp;section=5" title="Edit section&#039;s source code: Bibliografia"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Hanks TC, Kanamori H (1979). <i>A moment magnitude scale</i>. Journal of Geophysical Research, 84 (B5): 2348-50.</li> <li>Choy GL, Boatwright JL (1995). "Global patterns of radiated seismic energy and apparent stress". Journal of Geophysical Research 100 (B9): 18205-28.</li> <li>Utsu,T., 2002, <i>Relationships between magnitude scales</i>, in: Lee, W.H.K, Kanamori, H., Jennings, P.C., and Kisslinger, C., editors, <i>International Handbook of Earthquake and Engineering Seismology</i>, Academic Press, a division of Elsevier, two volumes, International Geophysics, vol. 81-A, pages 733-746.</li></ul> <div class="mw-heading mw-heading2"><h2 id="Voci_correlate">Voci correlate</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;veaction=edit&amp;section=6" title="Modifica la sezione Voci correlate" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;action=edit&amp;section=6" title="Edit section&#039;s source code: Voci correlate"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Magnitudo_(geologia)" class="mw-redirect" title="Magnitudo (geologia)">Magnitudo (geologia)</a></li> <li><a href="/wiki/Scala_Richter" title="Scala Richter">Scala Richter</a></li> <li><a href="/wiki/Scala_Mercalli" title="Scala Mercalli">Scala Mercalli</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Collegamenti_esterni">Collegamenti esterni</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;veaction=edit&amp;section=7" title="Modifica la sezione Collegamenti esterni" class="mw-editsection-visualeditor"><span>modifica</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Scala_di_magnitudo_del_momento_sismico&amp;action=edit&amp;section=7" title="Edit section&#039;s source code: Collegamenti esterni"><span>modifica wikitesto</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="https://earthquake.usgs.gov/learning/faq.php?categoryID=2"><span style="font-style:italic;">USGS: Measuring earthquakes</span></a>, su <span style="font-style:italic;">earthquake.usgs.gov</span>.</cite></li> <li><cite class="citation web" style="font-style:normal"> <a rel="nofollow" class="external text" href="http://www.alabamaquake.com/energy.html"><span style="font-style:italic;">Earthquake Energy Calculator</span></a>, su <span style="font-style:italic;">alabamaquake.com</span>.</cite></li></ul> <style data-mw-deduplicate="TemplateStyles:r141815314">.mw-parser-output .navbox{border:1px solid #aaa;clear:both;margin:auto;padding:2px;width:100%}.mw-parser-output .navbox th{padding-left:1em;padding-right:1em;text-align:center}.mw-parser-output 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Usa l&#39;anteprima prima di salvare">M</span></a></div></div><span class="navbox_title">Scale sismiche</span></th></tr><tr><th colspan="1" class="navbox_group">Scale moderne</th><td colspan="1" class="navbox_list navbox_odd"><table class="subnavbox"><tbody><tr><th class="subnavbox_group">Scale di intensità</th><td colspan="1"><a href="/wiki/Scala_macrosismica_europea" title="Scala macrosismica europea">Scala macrosismica europea (EMS)</a><b>&#160;·</b> <a href="/w/index.php?title=Scala_INQUA&amp;action=edit&amp;redlink=1" class="new" title="Scala INQUA (la pagina non esiste)">INQUA</a><b>&#160;·</b> <a href="/wiki/Liedu" title="Liedu">Liedu</a><b>&#160;·</b> <a href="/wiki/Scala_Medvedev-Sponheuer-Karnik" title="Scala Medvedev-Sponheuer-Karnik">Medvedev-Sponheuer-Karnik (MSK)</a><b>&#160;·</b> <a href="/wiki/Scala_Mercalli" title="Scala Mercalli">Scala Mercalli modificata (MM)</a><b>&#160;·</b> <a href="/wiki/Shindo" title="Shindo">Shindo</a></td></tr><tr><th class="subnavbox_group">Scale di magnitudo</th><td colspan="1"><a href="/wiki/Magnitudo_delle_onde_di_volume" title="Magnitudo delle onde di volume">Magnitudo delle onde di volume</a><b>&#160;·</b> <a href="/wiki/Scala_Richter" title="Scala Richter">Scala di magnitudo locale (Scala Richter)</a><b>&#160;·</b> <a class="mw-selflink selflink">Scala di magnitudo del momento sismico</a><b>&#160;·</b> <a href="/wiki/Magnitudo_delle_onde_superficiali" title="Magnitudo delle onde superficiali">Magnitudo delle onde superficiali</a></td></tr></tbody></table></td></tr><tr><th colspan="1" class="navbox_group">Scale storiche</th><td colspan="1" class="navbox_list navbox_even"><a href="/wiki/Scala_Mercalli" title="Scala Mercalli">Scala Mercalli-Cancani-Sieberg (MCS)</a><b>&#160;·</b> <a href="/wiki/Scala_Mercalli" title="Scala Mercalli">Mercalli-Wood-Neuman (MWN)</a><b>&#160;·</b> <a href="/w/index.php?title=Scala_Omori&amp;action=edit&amp;redlink=1" class="new" title="Scala Omori (la pagina non esiste)">Omori</a><b>&#160;·</b> <a href="/wiki/Scala_Rossi-Forel" title="Scala Rossi-Forel">Scala Rossi-Forel</a></td></tr></tbody></table> <div class="noprint" style="width:100%; 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