CINXE.COM

<!DOCTYPE html> <html class="client-nojs skin-theme-clientpref-day mf-expand-sections-clientpref-0 mf-font-size-clientpref-small mw-mf-amc-clientpref-0" lang="en" dir="ltr"> <head> <meta charset="UTF-8"> <title>Binding energy - Wikipedia</title> <script>(function(){var className="client-js skin-theme-clientpref-day mf-expand-sections-clientpref-0 mf-font-size-clientpref-small mw-mf-amc-clientpref-0";var cookie=document.cookie.match(/(?:^|; )enwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":["",""],"wgDigitTransformTable":["",""],"wgDefaultDateFormat":"dmy","wgMonthNames":["","January","February","March","April","May","June","July","August","September","October","November","December"],"wgRequestId":"0baf5a0c-a1db-4084-bac1-2cf06c52e4ef","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Binding_energy","wgTitle":"Binding energy","wgCurRevisionId":1261489544,"wgRevisionId":1261489544,"wgArticleId":125769, "wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgPageViewLanguage":"en","wgPageContentLanguage":"en","wgPageContentModel":"wikitext","wgRelevantPageName":"Binding_energy","wgRelevantArticleId":125769,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgFlaggedRevsParams":{"tags":{"status":{"levels":1}}},"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0,"wgVisualEditor":{"pageLanguageCode":"en","pageLanguageDir":"ltr","pageVariantFallbacks":"en"},"wgMFMode":"stable","wgMFAmc":false,"wgMFAmcOutreachActive":false,"wgMFAmcOutreachUserEligible":false,"wgMFLazyLoadImages":true,"wgMFEditNoticesFeatureConflict":false,"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":false,"nearby":true},"wgMFIsSupportedEditRequest":true,"wgMFScriptPath":"", "wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":10000,"wgEditSubmitButtonLabelPublish":true,"wgSectionTranslationMissingLanguages":[{"lang":"ace","autonym":"Acèh","dir":"ltr"},{"lang":"ady","autonym":"адыгабзэ","dir":"ltr"},{"lang":"alt","autonym":"алтай тил","dir":"ltr"},{"lang":"am","autonym":"አማርኛ","dir":"ltr"},{"lang":"ami","autonym":"Pangcah","dir":"ltr"},{"lang":"an","autonym":"aragonés","dir":"ltr"},{"lang":"ang","autonym":"Ænglisc","dir":"ltr"},{"lang":"ann","autonym":"Obolo","dir":"ltr"},{"lang":"anp","autonym":"अंगिका","dir":"ltr"},{"lang":"ary","autonym":"الدارجة","dir":"rtl"},{"lang":"arz","autonym":"مصرى","dir":"rtl"},{"lang":"as","autonym":"অসমীয়া","dir":"ltr"},{"lang":"ast","autonym":"asturianu","dir":"ltr"},{"lang":"av","autonym":"авар","dir":"ltr"},{"lang":"avk","autonym":"Kotava","dir":"ltr"},{"lang":"awa","autonym":"अवधी","dir":"ltr"},{"lang":"ay","autonym":"Aymar aru","dir": "ltr"},{"lang":"az","autonym":"azərbaycanca","dir":"ltr"},{"lang":"azb","autonym":"تۆرکجه","dir":"rtl"},{"lang":"ba","autonym":"башҡортса","dir":"ltr"},{"lang":"ban","autonym":"Basa Bali","dir":"ltr"},{"lang":"bar","autonym":"Boarisch","dir":"ltr"},{"lang":"bbc","autonym":"Batak Toba","dir":"ltr"},{"lang":"bcl","autonym":"Bikol Central","dir":"ltr"},{"lang":"bdr","autonym":"Bajau Sama","dir":"ltr"},{"lang":"bew","autonym":"Betawi","dir":"ltr"},{"lang":"bho","autonym":"भोजपुरी","dir":"ltr"},{"lang":"bi","autonym":"Bislama","dir":"ltr"},{"lang":"bjn","autonym":"Banjar","dir":"ltr"},{"lang":"blk","autonym":"ပအိုဝ်ႏဘာႏသာႏ","dir":"ltr"},{"lang":"bm","autonym":"bamanankan","dir":"ltr"},{"lang":"bn","autonym":"বাংলা","dir":"ltr"},{"lang":"bo","autonym":"བོད་ཡིག","dir":"ltr"},{"lang":"bpy","autonym":"বিষ্ণুপ্রিয়া মণিপুরী","dir":"ltr"},{"lang":"br","autonym":"brezhoneg","dir" :"ltr"},{"lang":"bs","autonym":"bosanski","dir":"ltr"},{"lang":"btm","autonym":"Batak Mandailing","dir":"ltr"},{"lang":"bug","autonym":"Basa Ugi","dir":"ltr"},{"lang":"cdo","autonym":"閩東語 / Mìng-dĕ̤ng-ngṳ̄","dir":"ltr"},{"lang":"ceb","autonym":"Cebuano","dir":"ltr"},{"lang":"ch","autonym":"Chamoru","dir":"ltr"},{"lang":"chr","autonym":"ᏣᎳᎩ","dir":"ltr"},{"lang":"ckb","autonym":"کوردی","dir":"rtl"},{"lang":"co","autonym":"corsu","dir":"ltr"},{"lang":"cr","autonym":"Nēhiyawēwin / ᓀᐦᐃᔭᐍᐏᐣ","dir":"ltr"},{"lang":"crh","autonym":"qırımtatarca","dir":"ltr"},{"lang":"cs","autonym":"čeština","dir":"ltr"},{"lang":"cu","autonym":"словѣньскъ / ⰔⰎⰑⰂⰡⰐⰠⰔⰍⰟ","dir":"ltr"},{"lang":"cy","autonym":"Cymraeg","dir":"ltr"},{"lang":"dag","autonym":"dagbanli","dir":"ltr"},{"lang":"dga","autonym":"Dagaare","dir":"ltr"},{"lang":"din","autonym":"Thuɔŋjäŋ","dir":"ltr"},{"lang":"diq","autonym":"Zazaki","dir":"ltr"},{"lang":"dsb","autonym" :"dolnoserbski","dir":"ltr"},{"lang":"dtp","autonym":"Kadazandusun","dir":"ltr"},{"lang":"dv","autonym":"ދިވެހިބަސް","dir":"rtl"},{"lang":"dz","autonym":"ཇོང་ཁ","dir":"ltr"},{"lang":"ee","autonym":"eʋegbe","dir":"ltr"},{"lang":"el","autonym":"Ελληνικά","dir":"ltr"},{"lang":"eml","autonym":"emiliàn e rumagnòl","dir":"ltr"},{"lang":"eo","autonym":"Esperanto","dir":"ltr"},{"lang":"fat","autonym":"mfantse","dir":"ltr"},{"lang":"ff","autonym":"Fulfulde","dir":"ltr"},{"lang":"fj","autonym":"Na Vosa Vakaviti","dir":"ltr"},{"lang":"fo","autonym":"føroyskt","dir":"ltr"},{"lang":"fon","autonym":"fɔ̀ngbè","dir":"ltr"},{"lang":"frp","autonym":"arpetan","dir":"ltr"},{"lang":"frr","autonym":"Nordfriisk","dir":"ltr"},{"lang":"fur","autonym":"furlan","dir":"ltr"},{"lang":"fy","autonym":"Frysk","dir":"ltr"},{"lang":"gag","autonym":"Gagauz","dir":"ltr"},{"lang":"gan","autonym":"贛語","dir":"ltr"},{"lang":"gcr","autonym":"kriyòl gwiyannen","dir":"ltr"},{"lang":"gl", "autonym":"galego","dir":"ltr"},{"lang":"glk","autonym":"گیلکی","dir":"rtl"},{"lang":"gn","autonym":"Avañe'ẽ","dir":"ltr"},{"lang":"gom","autonym":"गोंयची कोंकणी / Gõychi Konknni","dir":"ltr"},{"lang":"gor","autonym":"Bahasa Hulontalo","dir":"ltr"},{"lang":"gpe","autonym":"Ghanaian Pidgin","dir":"ltr"},{"lang":"gu","autonym":"ગુજરાતી","dir":"ltr"},{"lang":"guc","autonym":"wayuunaiki","dir":"ltr"},{"lang":"gur","autonym":"farefare","dir":"ltr"},{"lang":"guw","autonym":"gungbe","dir":"ltr"},{"lang":"gv","autonym":"Gaelg","dir":"ltr"},{"lang":"ha","autonym":"Hausa","dir":"ltr"},{"lang":"hak","autonym":"客家語 / Hak-kâ-ngî","dir":"ltr"},{"lang":"haw","autonym":"Hawaiʻi","dir":"ltr"},{"lang":"he","autonym":"עברית","dir":"rtl"},{"lang":"hif","autonym":"Fiji Hindi","dir":"ltr"},{"lang":"hsb","autonym":"hornjoserbsce","dir":"ltr"},{"lang":"ht","autonym":"Kreyòl ayisyen","dir":"ltr"},{"lang":"hyw","autonym": "Արեւմտահայերէն","dir":"ltr"},{"lang":"ia","autonym":"interlingua","dir":"ltr"},{"lang":"iba","autonym":"Jaku Iban","dir":"ltr"},{"lang":"ie","autonym":"Interlingue","dir":"ltr"},{"lang":"ig","autonym":"Igbo","dir":"ltr"},{"lang":"igl","autonym":"Igala","dir":"ltr"},{"lang":"ilo","autonym":"Ilokano","dir":"ltr"},{"lang":"io","autonym":"Ido","dir":"ltr"},{"lang":"is","autonym":"íslenska","dir":"ltr"},{"lang":"iu","autonym":"ᐃᓄᒃᑎᑐᑦ / inuktitut","dir":"ltr"},{"lang":"jam","autonym":"Patois","dir":"ltr"},{"lang":"jv","autonym":"Jawa","dir":"ltr"},{"lang":"ka","autonym":"ქართული","dir":"ltr"},{"lang":"kaa","autonym":"Qaraqalpaqsha","dir":"ltr"},{"lang":"kab","autonym":"Taqbaylit","dir":"ltr"},{"lang":"kbd","autonym":"адыгэбзэ","dir":"ltr"},{"lang":"kbp","autonym":"Kabɩyɛ","dir":"ltr"},{"lang":"kcg","autonym":"Tyap","dir":"ltr"},{"lang":"kg","autonym":"Kongo","dir":"ltr"},{"lang":"kge","autonym":"Kumoring","dir":"ltr"},{"lang":"ki","autonym" :"Gĩkũyũ","dir":"ltr"},{"lang":"kk","autonym":"қазақша","dir":"ltr"},{"lang":"kl","autonym":"kalaallisut","dir":"ltr"},{"lang":"km","autonym":"ភាសាខ្មែរ","dir":"ltr"},{"lang":"kn","autonym":"ಕನ್ನಡ","dir":"ltr"},{"lang":"knc","autonym":"Yerwa Kanuri","dir":"ltr"},{"lang":"ko","autonym":"한국어","dir":"ltr"},{"lang":"koi","autonym":"перем коми","dir":"ltr"},{"lang":"krc","autonym":"къарачай-малкъар","dir":"ltr"},{"lang":"ks","autonym":"कॉशुर / کٲشُر","dir":"rtl"},{"lang":"ku","autonym":"kurdî","dir":"ltr"},{"lang":"kus","autonym":"Kʋsaal","dir":"ltr"},{"lang":"kv","autonym":"коми","dir":"ltr"},{"lang":"kw","autonym":"kernowek","dir":"ltr"},{"lang":"ky","autonym":"кыргызча","dir":"ltr"},{"lang":"lad","autonym":"Ladino","dir":"ltr"},{"lang":"lb","autonym":"Lëtzebuergesch","dir":"ltr"},{"lang":"lez","autonym":"лезги","dir":"ltr"},{"lang":"lg","autonym":"Luganda","dir":"ltr"},{"lang":"li", "autonym":"Limburgs","dir":"ltr"},{"lang":"lij","autonym":"Ligure","dir":"ltr"},{"lang":"lld","autonym":"Ladin","dir":"ltr"},{"lang":"lmo","autonym":"lombard","dir":"ltr"},{"lang":"ln","autonym":"lingála","dir":"ltr"},{"lang":"lo","autonym":"ລາວ","dir":"ltr"},{"lang":"ltg","autonym":"latgaļu","dir":"ltr"},{"lang":"lv","autonym":"latviešu","dir":"ltr"},{"lang":"mad","autonym":"Madhurâ","dir":"ltr"},{"lang":"mai","autonym":"मैथिली","dir":"ltr"},{"lang":"map-bms","autonym":"Basa Banyumasan","dir":"ltr"},{"lang":"mdf","autonym":"мокшень","dir":"ltr"},{"lang":"mg","autonym":"Malagasy","dir":"ltr"},{"lang":"mhr","autonym":"олык марий","dir":"ltr"},{"lang":"mi","autonym":"Māori","dir":"ltr"},{"lang":"min","autonym":"Minangkabau","dir":"ltr"},{"lang":"mk","autonym":"македонски","dir":"ltr"},{"lang":"mni","autonym":"ꯃꯤꯇꯩ ꯂꯣꯟ","dir":"ltr"},{"lang":"mnw","autonym":"ဘာသာမန်","dir":"ltr"},{"lang":"mos","autonym":"moore", "dir":"ltr"},{"lang":"mr","autonym":"मराठी","dir":"ltr"},{"lang":"mrj","autonym":"кырык мары","dir":"ltr"},{"lang":"mt","autonym":"Malti","dir":"ltr"},{"lang":"mwl","autonym":"Mirandés","dir":"ltr"},{"lang":"my","autonym":"မြန်မာဘာသာ","dir":"ltr"},{"lang":"myv","autonym":"эрзянь","dir":"ltr"},{"lang":"mzn","autonym":"مازِرونی","dir":"rtl"},{"lang":"nah","autonym":"Nāhuatl","dir":"ltr"},{"lang":"nan","autonym":"閩南語 / Bân-lâm-gú","dir":"ltr"},{"lang":"nap","autonym":"Napulitano","dir":"ltr"},{"lang":"nb","autonym":"norsk bokmål","dir":"ltr"},{"lang":"nds","autonym":"Plattdüütsch","dir":"ltr"},{"lang":"nds-nl","autonym":"Nedersaksies","dir":"ltr"},{"lang":"ne","autonym":"नेपाली","dir":"ltr"},{"lang":"new","autonym":"नेपाल भाषा","dir":"ltr"},{"lang":"nia","autonym":"Li Niha","dir":"ltr"},{"lang":"nqo","autonym":"ߒߞߏ","dir":"rtl"},{"lang":"nr","autonym":"isiNdebele seSewula","dir":"ltr"},{ "lang":"nso","autonym":"Sesotho sa Leboa","dir":"ltr"},{"lang":"ny","autonym":"Chi-Chewa","dir":"ltr"},{"lang":"oc","autonym":"occitan","dir":"ltr"},{"lang":"om","autonym":"Oromoo","dir":"ltr"},{"lang":"or","autonym":"ଓଡ଼ିଆ","dir":"ltr"},{"lang":"os","autonym":"ирон","dir":"ltr"},{"lang":"pa","autonym":"ਪੰਜਾਬੀ","dir":"ltr"},{"lang":"pag","autonym":"Pangasinan","dir":"ltr"},{"lang":"pam","autonym":"Kapampangan","dir":"ltr"},{"lang":"pap","autonym":"Papiamentu","dir":"ltr"},{"lang":"pcd","autonym":"Picard","dir":"ltr"},{"lang":"pcm","autonym":"Naijá","dir":"ltr"},{"lang":"pdc","autonym":"Deitsch","dir":"ltr"},{"lang":"pms","autonym":"Piemontèis","dir":"ltr"},{"lang":"pnb","autonym":"پنجابی","dir":"rtl"},{"lang":"ps","autonym":"پښتو","dir":"rtl"},{"lang":"pt","autonym":"português","dir":"ltr"},{"lang":"pwn","autonym":"pinayuanan","dir":"ltr"},{"lang":"qu","autonym":"Runa Simi","dir":"ltr"},{"lang":"rm","autonym":"rumantsch","dir":"ltr"},{"lang":"rn", "autonym":"ikirundi","dir":"ltr"},{"lang":"ro","autonym":"română","dir":"ltr"},{"lang":"rsk","autonym":"руски","dir":"ltr"},{"lang":"rue","autonym":"русиньскый","dir":"ltr"},{"lang":"rup","autonym":"armãneashti","dir":"ltr"},{"lang":"rw","autonym":"Ikinyarwanda","dir":"ltr"},{"lang":"sa","autonym":"संस्कृतम्","dir":"ltr"},{"lang":"sah","autonym":"саха тыла","dir":"ltr"},{"lang":"sat","autonym":"ᱥᱟᱱᱛᱟᱲᱤ","dir":"ltr"},{"lang":"sc","autonym":"sardu","dir":"ltr"},{"lang":"scn","autonym":"sicilianu","dir":"ltr"},{"lang":"sco","autonym":"Scots","dir":"ltr"},{"lang":"sd","autonym":"سنڌي","dir":"rtl"},{"lang":"se","autonym":"davvisámegiella","dir":"ltr"},{"lang":"sg","autonym":"Sängö","dir":"ltr"},{"lang":"sgs","autonym":"žemaitėška","dir":"ltr"},{"lang":"sh","autonym":"srpskohrvatski / српскохрватски","dir":"ltr"},{"lang":"shi","autonym":"Taclḥit","dir":"ltr"},{"lang":"shn","autonym": "ၽႃႇသႃႇတႆး ","dir":"ltr"},{"lang":"si","autonym":"සිංහල","dir":"ltr"},{"lang":"sk","autonym":"slovenčina","dir":"ltr"},{"lang":"skr","autonym":"سرائیکی","dir":"rtl"},{"lang":"sm","autonym":"Gagana Samoa","dir":"ltr"},{"lang":"smn","autonym":"anarâškielâ","dir":"ltr"},{"lang":"sn","autonym":"chiShona","dir":"ltr"},{"lang":"so","autonym":"Soomaaliga","dir":"ltr"},{"lang":"sq","autonym":"shqip","dir":"ltr"},{"lang":"srn","autonym":"Sranantongo","dir":"ltr"},{"lang":"ss","autonym":"SiSwati","dir":"ltr"},{"lang":"st","autonym":"Sesotho","dir":"ltr"},{"lang":"stq","autonym":"Seeltersk","dir":"ltr"},{"lang":"su","autonym":"Sunda","dir":"ltr"},{"lang":"sw","autonym":"Kiswahili","dir":"ltr"},{"lang":"szl","autonym":"ślůnski","dir":"ltr"},{"lang":"tay","autonym":"Tayal","dir":"ltr"},{"lang":"tcy","autonym":"ತುಳು","dir":"ltr"},{"lang":"tdd","autonym":"ᥖᥭᥰ ᥖᥬᥲ ᥑᥨᥒᥰ","dir":"ltr"},{"lang":"te","autonym":"తెలుగు","dir": "ltr"},{"lang":"tet","autonym":"tetun","dir":"ltr"},{"lang":"tg","autonym":"тоҷикӣ","dir":"ltr"},{"lang":"ti","autonym":"ትግርኛ","dir":"ltr"},{"lang":"tig","autonym":"ትግሬ","dir":"ltr"},{"lang":"tk","autonym":"Türkmençe","dir":"ltr"},{"lang":"tl","autonym":"Tagalog","dir":"ltr"},{"lang":"tly","autonym":"tolışi","dir":"ltr"},{"lang":"tn","autonym":"Setswana","dir":"ltr"},{"lang":"to","autonym":"lea faka-Tonga","dir":"ltr"},{"lang":"tpi","autonym":"Tok Pisin","dir":"ltr"},{"lang":"trv","autonym":"Seediq","dir":"ltr"},{"lang":"ts","autonym":"Xitsonga","dir":"ltr"},{"lang":"tt","autonym":"татарча / tatarça","dir":"ltr"},{"lang":"tum","autonym":"chiTumbuka","dir":"ltr"},{"lang":"tw","autonym":"Twi","dir":"ltr"},{"lang":"ty","autonym":"reo tahiti","dir":"ltr"},{"lang":"tyv","autonym":"тыва дыл","dir":"ltr"},{"lang":"udm","autonym":"удмурт","dir":"ltr"},{"lang":"ur","autonym":"اردو","dir":"rtl"},{"lang":"uz","autonym":"oʻzbekcha / ўзбекча" ,"dir":"ltr"},{"lang":"ve","autonym":"Tshivenda","dir":"ltr"},{"lang":"vec","autonym":"vèneto","dir":"ltr"},{"lang":"vep","autonym":"vepsän kel’","dir":"ltr"},{"lang":"vi","autonym":"Tiếng Việt","dir":"ltr"},{"lang":"vls","autonym":"West-Vlams","dir":"ltr"},{"lang":"vo","autonym":"Volapük","dir":"ltr"},{"lang":"vro","autonym":"võro","dir":"ltr"},{"lang":"wa","autonym":"walon","dir":"ltr"},{"lang":"war","autonym":"Winaray","dir":"ltr"},{"lang":"wo","autonym":"Wolof","dir":"ltr"},{"lang":"wuu","autonym":"吴语","dir":"ltr"},{"lang":"xal","autonym":"хальмг","dir":"ltr"},{"lang":"xh","autonym":"isiXhosa","dir":"ltr"},{"lang":"xmf","autonym":"მარგალური","dir":"ltr"},{"lang":"yi","autonym":"ייִדיש","dir":"rtl"},{"lang":"yo","autonym":"Yorùbá","dir":"ltr"},{"lang":"yue","autonym":"粵語","dir":"ltr"},{"lang":"za","autonym":"Vahcuengh","dir":"ltr"},{"lang":"zgh","autonym":"ⵜⴰⵎⴰⵣⵉⵖⵜ ⵜⴰⵏⴰⵡⴰⵢⵜ","dir":"ltr"},{"lang":"zu", "autonym":"isiZulu","dir":"ltr"}],"wgSectionTranslationTargetLanguages":["ace","ady","alt","am","ami","an","ang","ann","anp","ar","ary","arz","as","ast","av","avk","awa","ay","az","azb","ba","ban","bar","bbc","bcl","bdr","be","bew","bg","bho","bi","bjn","blk","bm","bn","bo","bpy","br","bs","btm","bug","ca","cdo","ce","ceb","ch","chr","ckb","co","cr","crh","cs","cu","cy","da","dag","de","dga","din","diq","dsb","dtp","dv","dz","ee","el","eml","eo","es","et","eu","fa","fat","ff","fi","fj","fo","fon","fr","frp","frr","fur","fy","gag","gan","gcr","gl","glk","gn","gom","gor","gpe","gu","guc","gur","guw","gv","ha","hak","haw","he","hi","hif","hr","hsb","ht","hu","hy","hyw","ia","iba","ie","ig","igl","ilo","io","is","it","iu","ja","jam","jv","ka","kaa","kab","kbd","kbp","kcg","kg","kge","ki","kk","kl","km","kn","knc","ko","koi","krc","ks","ku","kus","kv","kw","ky","lad","lb","lez","lg","li","lij","lld","lmo","ln","lo","lt","ltg","lv","mad","mai","map-bms","mdf","mg","mhr","mi","min","mk","ml", "mn","mni","mnw","mos","mr","mrj","ms","mt","mwl","my","myv","mzn","nah","nan","nap","nb","nds","nds-nl","ne","new","nia","nl","nn","nqo","nr","nso","ny","oc","om","or","os","pa","pag","pam","pap","pcd","pcm","pdc","pl","pms","pnb","ps","pt","pwn","qu","rm","rn","ro","rsk","rue","rup","rw","sa","sah","sat","sc","scn","sco","sd","se","sg","sgs","sh","shi","shn","si","sk","skr","sl","sm","smn","sn","so","sq","sr","srn","ss","st","stq","su","sv","sw","szl","ta","tay","tcy","tdd","te","tet","tg","th","ti","tig","tk","tl","tly","tn","to","tpi","tr","trv","ts","tt","tum","tw","ty","tyv","udm","ur","uz","ve","vec","vep","vi","vls","vo","vro","wa","war","wo","wuu","xal","xh","xmf","yi","yo","yue","za","zgh","zh","zu"],"isLanguageSearcherCXEntrypointEnabled":true,"mintEntrypointLanguages":["ace","ast","azb","bcl","bjn","bh","crh","ff","fon","ig","is","ki","ks","lmo","min","sat","ss","tn","vec"],"wgWikibaseItemId":"Q420754","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness", "fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false,"wgMinervaPermissions":{"watchable":true,"watch":false},"wgMinervaFeatures":{"beta":false,"donate":true,"mobileOptionsLink":true,"categories":false,"pageIssues":true,"talkAtTop":true,"historyInPageActions":false,"overflowSubmenu":false,"tabsOnSpecials":true,"personalMenu":false,"mainMenuExpanded":false,"echo":true,"nightMode":true},"wgMinervaDownloadNamespaces":[0]};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready","user.options":"loading","ext.cite.styles":"ready","skins.minerva.styles":"ready","skins.minerva.content.styles.images":"ready","mediawiki.hlist":"ready","skins.minerva.codex.styles":"ready","skins.minerva.icons":"ready","jquery.tablesorter.styles": "ready","skins.minerva.amc.styles":"ready","ext.wikimediamessages.styles":"ready","mobile.init.styles":"ready","ext.relatedArticles.styles":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready"};RLPAGEMODULES=["ext.cite.ux-enhancements","site","mediawiki.page.ready","jquery.tablesorter","skins.minerva.scripts","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.switcher","ext.urlShortener.toolbar","ext.centralauth.centralautologin","ext.popups","mobile.init","ext.echo.centralauth","ext.relatedArticles.readMore.bootstrap","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.cx.eventlogging.campaigns","ext.cx.entrypoints.mffrequentlanguages","ext.cx.entrypoints.languagesearcher.init","mw.externalguidance.init","ext.checkUser.clientHints","ext.growthExperiments.SuggestedEditSession"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=en&modules=ext.cite.styles%7Cext.relatedArticles.styles%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cjquery.tablesorter.styles%7Cmediawiki.hlist%7Cmobile.init.styles%7Cskins.minerva.amc.styles%7Cskins.minerva.codex.styles%7Cskins.minerva.content.styles.images%7Cskins.minerva.icons%2Cstyles%7Cwikibase.client.init&only=styles&skin=minerva"> <script async="" src="/w/load.php?lang=en&modules=startup&only=scripts&raw=1&skin=minerva"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=en&modules=site.styles&only=styles&skin=minerva"> <meta name="generator" content="MediaWiki 1.44.0-wmf.15"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="theme-color" content="#eaecf0"> <meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes, minimum-scale=0.25, maximum-scale=5.0"> <meta property="og:title" content="Binding energy - Wikipedia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="manifest" href="/w/api.php?action=webapp-manifest"> <link rel="alternate" type="application/x-wiki" title="Edit this page" href="/w/index.php?title=Binding_energy&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipedia (en)"> <link rel="EditURI" type="application/rsd+xml" href="//en.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://en.wikipedia.org/wiki/Binding_energy"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="login.wikimedia.org"> </head> <body class="mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Binding_energy rootpage-Binding_energy stable issues-group-B skin-minerva action-view skin--responsive mw-mf-amc-disabled mw-mf"><div id="mw-mf-viewport"> <div id="mw-mf-page-center"> <a class="mw-mf-page-center__mask" href="#"></a> <header class="header-container header-chrome"> <div class="minerva-header"> <nav class="navigation-drawer toggle-list view-border-box"> <input type="checkbox" id="main-menu-input" class="toggle-list__checkbox" role="button" aria-haspopup="true" aria-expanded="false" aria-labelledby="mw-mf-main-menu-button"> <label role="button" for="main-menu-input" id="mw-mf-main-menu-button" aria-hidden="true" data-event-name="ui.mainmenu" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet toggle-list__toggle"> <span class="minerva-icon minerva-icon--menu"></span> <span></span> </label> <div id="mw-mf-page-left" class="menu view-border-box"> <ul id="p-navigation" class="toggle-list__list"> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--home" href="/wiki/Main_Page" data-mw="interface"> <span class="minerva-icon minerva-icon--home"></span> <span class="toggle-list-item__label">Home</span> </a> </li> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--random" href="/wiki/Special:Random" data-mw="interface"> <span class="minerva-icon minerva-icon--die"></span> <span class="toggle-list-item__label">Random</span> </a> </li> <li class="toggle-list-item skin-minerva-list-item-jsonly"> <a class="toggle-list-item__anchor menu__item--nearby" href="/wiki/Special:Nearby" data-event-name="menu.nearby" data-mw="interface"> <span class="minerva-icon minerva-icon--mapPin"></span> <span class="toggle-list-item__label">Nearby</span> </a> </li> </ul> <ul id="p-personal" class="toggle-list__list"> <li class="toggle-list-item "> <a class="toggle-list-item__anchor mw-list-item menu__item--login" href="/w/index.php?title=Special:UserLogin&returnto=Binding+energy" data-event-name="menu.login" data-mw="interface"> <span class="minerva-icon minerva-icon--logIn"></span> <span class="toggle-list-item__label">Log in</span> </a> </li> </ul> <ul id="pt-preferences" class="toggle-list__list"> <li class="toggle-list-item skin-minerva-list-item-jsonly"> <a class="toggle-list-item__anchor menu__item--settings" href="/w/index.php?title=Special:MobileOptions&returnto=Binding+energy" data-event-name="menu.settings" data-mw="interface"> <span class="minerva-icon minerva-icon--settings"></span> <span class="toggle-list-item__label">Settings</span> </a> </li> </ul> <ul id="p-donation" class="toggle-list__list"> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--donate" href="https://donate.wikimedia.org/?wmf_source=donate&wmf_medium=sidebar&wmf_campaign=en.wikipedia.org&uselang=en&wmf_key=minerva" data-event-name="menu.donate" data-mw="interface"> <span class="minerva-icon minerva-icon--heart"></span> <span class="toggle-list-item__label">Donate</span> </a> </li> </ul> <ul class="hlist"> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--about" href="/wiki/Wikipedia:About" data-mw="interface"> <span class="toggle-list-item__label">About Wikipedia</span> </a> </li> <li class="toggle-list-item "> <a class="toggle-list-item__anchor menu__item--disclaimers" href="/wiki/Wikipedia:General_disclaimer" data-mw="interface"> <span class="toggle-list-item__label">Disclaimers</span> </a> </li> </ul> </div> <label class="main-menu-mask" for="main-menu-input"></label> </nav> <div class="branding-box"> <a href="/wiki/Main_Page"> <span><img src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" alt="Wikipedia" width="120" height="18" style="width: 7.5em; height: 1.125em;"/> </span> </a> </div> <form action="/w/index.php" method="get" class="minerva-search-form"> <div class="search-box"> <input type="hidden" name="title" value="Special:Search"/> <input class="search skin-minerva-search-trigger" id="searchInput" type="search" name="search" placeholder="Search Wikipedia" aria-label="Search Wikipedia" autocapitalize="sentences" title="Search Wikipedia [f]" accesskey="f"> <span class="search-box-icon-overlay"><span class="minerva-icon minerva-icon--search"></span> </span> </div> <button id="searchIcon" class="cdx-button cdx-button--size-large cdx-button--icon-only cdx-button--weight-quiet skin-minerva-search-trigger"> <span class="minerva-icon minerva-icon--search"></span> <span>Search</span> </button> </form> <nav class="minerva-user-navigation" aria-label="User navigation"> </nav> </div> </header> <main id="content" class="mw-body"> <div class="banner-container"> <div id="siteNotice"></div> </div> <div class="pre-content heading-holder"> <div class="page-heading"> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Binding energy</span></h1> <div class="tagline"></div> </div> <ul id="p-associated-pages" class="minerva__tab-container"> <li class="minerva__tab selected mw-list-item"> <a class="minerva__tab-text" href="/wiki/Binding_energy" rel="" data-event-name="tabs.main">Article</a> </li> <li class="minerva__tab mw-list-item"> <a class="minerva__tab-text" href="/wiki/Talk:Binding_energy" rel="discussion" data-event-name="tabs.talk">Talk</a> </li> </ul> <nav class="page-actions-menu"> <ul id="p-views" class="page-actions-menu__list"> <li id="language-selector" class="page-actions-menu__list-item"> <a role="button" href="#p-lang" data-mw="interface" data-event-name="menu.languages" title="Language" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet language-selector"> <span class="minerva-icon minerva-icon--language"></span> <span>Language</span> </a> </li> <li id="page-actions-watch" class="page-actions-menu__list-item"> <a role="button" id="ca-watch" href="/w/index.php?title=Special:UserLogin&returnto=Binding+energy" data-event-name="menu.watch" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet menu__item--page-actions-watch"> <span class="minerva-icon minerva-icon--star"></span> <span>Watch</span> </a> </li> <li id="page-actions-edit" class="page-actions-menu__list-item"> <a role="button" id="ca-edit" href="/w/index.php?title=Binding_energy&action=edit" data-event-name="menu.edit" data-mw="interface" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet edit-page menu__item--page-actions-edit"> <span class="minerva-icon minerva-icon--edit"></span> <span>Edit</span> </a> </li> </ul> </nav>  <div id="mw-content-subtitle"></div> </div> <div id="bodyContent" class="content"> <div id="mw-content-text" class="mw-body-content"><script>function mfTempOpenSection(id){var block=document.getElementById("mf-section-"+id);block.className+=" open-block";block.previousSibling.className+=" open-block";}</script><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><section class="mf-section-0" id="mf-section-0"> <p class="mw-empty-elt"> </p><p>In <a href="/wiki/Physics" title="Physics">physics</a> and <a href="/wiki/Chemistry" title="Chemistry">chemistry</a>, <b>binding energy</b> is the smallest amount of <a href="/wiki/Energy" title="Energy">energy</a> required to remove a <a href="/wiki/Particle" title="Particle">particle</a> from a system of particles or to disassemble a system of particles into individual parts.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> In the former meaning the term is predominantly used in <a href="/wiki/Condensed_matter_physics" title="Condensed matter physics">condensed matter physics</a>, <a href="/wiki/Atomic_physics" title="Atomic physics">atomic physics</a>, and chemistry, whereas in <a href="/wiki/Nuclear_physics" title="Nuclear physics">nuclear physics</a> the term <i><a href="/wiki/Separation_energy" title="Separation energy">separation energy</a></i> is used. A bound system is typically at a lower <a href="/wiki/Energy_level" title="Energy level">energy level</a> than its unbound constituents. According to <a href="/wiki/Relativity_theory" class="mw-redirect" title="Relativity theory">relativity theory</a>, a <span class="texhtml">Δ<i>E</i></span> decrease in the <a href="/wiki/Total_energy" class="mw-redirect" title="Total energy">total energy</a> of a system is accompanied by a decrease <span class="texhtml">Δ<i>m</i></span> in the total <a href="/wiki/Mass" title="Mass">mass</a>, where <span class="texhtml">Δ<i>mc</i><sup>2</sup> = Δ<i>E</i></span>.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> </p> <div id="toc" class="toc" role="navigation" aria-labelledby="mw-toc-heading"><input type="checkbox" role="button" id="toctogglecheckbox" class="toctogglecheckbox" style="display:none"><div class="toctitle" lang="en" dir="ltr"><h2 id="mw-toc-heading">Contents</h2><span class="toctogglespan"><label class="toctogglelabel" for="toctogglecheckbox"></label></span></div> <ul> <li class="toclevel-1 tocsection-1"><a href="#Types"><span class="tocnumber">1</span> <span class="toctext">Types</span></a></li> <li class="toclevel-1 tocsection-2"><a href="#Mass%E2%80%93energy_relation"><span class="tocnumber">2</span> <span class="toctext">Mass–energy relation</span></a> <ul> <li class="toclevel-2 tocsection-3"><a href="#Mass_change"><span class="tocnumber">2.1</span> <span class="toctext">Mass change</span></a></li> </ul> </li> <li class="toclevel-1 tocsection-4"><a href="#See_also"><span class="tocnumber">3</span> <span class="toctext">See also</span></a></li> <li class="toclevel-1 tocsection-5"><a href="#References"><span class="tocnumber">4</span> <span class="toctext">References</span></a></li> <li class="toclevel-1 tocsection-6"><a href="#External_links"><span class="tocnumber">5</span> <span class="toctext">External links</span></a></li> </ul> </div> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(1)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Types">Types</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Binding_energy&action=edit&section=1" title="Edit section: Types" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-1 collapsible-block" id="mf-section-1"> <p>There are several types of binding energy, each operating over a different distance and energy scale. The smaller the size of a bound system, the higher its associated binding energy. </p> <table class="wikitable sortable mw-collapsible"> <tbody><tr> <th>Type </th> <th>Description </th> <th>Example </th> <th>Level </th></tr> <tr> <td>Gravitational binding energy </td> <td>The <a href="/wiki/Gravitational_binding_energy" title="Gravitational binding energy">gravitational binding energy</a> of an object, such as a <a href="/wiki/Celestial_body" class="mw-redirect" title="Celestial body">celestial body</a>, is the energy required to expand the material to infinity. </td> <td>If a body with the mass and radius of <a href="/wiki/Earth" title="Earth">Earth</a> were made purely of <a href="/wiki/Hydrogen-1" class="mw-redirect" title="Hydrogen-1">hydrogen-1</a>, then the gravitational binding energy of that body would be about 0.391658 <a href="/wiki/Electronvolt" title="Electronvolt">eV</a> per atom. If a hydrogen-1 body had the mass and radius of the <a href="/wiki/Sun" title="Sun">Sun</a>, its gravitational binding energy would be about 1,195.586 eV per atom. </td> <td><a href="/wiki/Astrophysics" title="Astrophysics">Astrophysical level</a> </td></tr> <tr> <td>Bond energy; Bond-dissociation energy </td> <td><a href="/wiki/Bond_energy" title="Bond energy">Bond energy</a> and <a href="/wiki/Bond-dissociation_energy" title="Bond-dissociation energy">bond-dissociation energy</a> are measures of the binding energy between the <a href="/wiki/Atom" title="Atom">atoms</a> in a <a href="/wiki/Chemical_bond" title="Chemical bond">chemical bond</a>. It is the energy required to disassemble a <a href="/wiki/Molecule" title="Molecule">molecule</a> into its constituent atoms. This energy appears as <a href="/wiki/Chemical_energy" title="Chemical energy">chemical energy</a>, such as that released in <a href="/wiki/Chemical_explosion" class="mw-redirect" title="Chemical explosion">chemical explosions</a>, the burning of chemical <a href="/wiki/Fuel" title="Fuel">fuel</a> and <a href="/wiki/Biology" title="Biology">biological</a> processes. Bond energies and bond-dissociation energies are typically in the range of a few eV per bond. </td> <td>The bond-dissociation energy of a <a href="/wiki/Carbon-carbon_bond" class="mw-redirect" title="Carbon-carbon bond">carbon-carbon bond</a> is about 3.6 eV. </td> <td><a href="/wiki/Molecular_physics" title="Molecular physics">Molecular level</a> </td></tr> <tr> <td>Electron binding energy; Ionization energy </td> <td><a href="/wiki/Electron_binding_energy" class="mw-redirect" title="Electron binding energy">Electron binding energy</a>, more commonly known as <a href="/wiki/Ionization_energy" title="Ionization energy">ionization energy</a>,<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> is a measure of the energy required to free an electron from its <a href="/wiki/Atomic_orbital" title="Atomic orbital">atomic orbital</a> or from a solid. The electron binding energy derives from the <a href="/wiki/Electromagnetic_interaction" class="mw-redirect" title="Electromagnetic interaction">electromagnetic interaction</a> of the electron with the <a href="/wiki/Atomic_nucleus" title="Atomic nucleus">nucleus</a> and the other electrons of the <a href="/wiki/Atom" title="Atom">atom</a>, molecule or solid and is mediated by <a href="/wiki/Photon" title="Photon">photons</a>. </td> <td>Among the chemical elements, <a href="/wiki/Ionization_energies_of_the_elements_(data_page)" title="Ionization energies of the elements (data page)">the range of ionization energies</a> is from 3.8939 eV for the outermost electron in an atom of <a href="/wiki/Caesium" title="Caesium">caesium</a> to 11.567617 keV for the innermost electron in an atom of <a href="/wiki/Copper" title="Copper">copper</a>. </td> <td><a href="/wiki/Quantum_chemistry" title="Quantum chemistry">Atomic level</a> </td></tr> <tr> <td>Atomic binding energy </td> <td>The <i>atomic binding energy</i> of the atom is the <a href="/wiki/Ionization_energy" title="Ionization energy">energy</a> required to disassemble an atom into free electrons and a nucleus.<sup id="cite_ref-nuclearpower_4-0" class="reference"><a href="#cite_note-nuclearpower-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> It is the sum of the ionization energies of all the electrons belonging to a specific atom. The atomic binding energy derives from the <a href="/wiki/Electromagnetic_interaction" class="mw-redirect" title="Electromagnetic interaction">electromagnetic interaction</a> of the electrons with the nucleus, mediated by <a href="/wiki/Photon" title="Photon">photons</a>. </td> <td>For an atom of <a href="/wiki/Helium" title="Helium">helium</a>, with 2 electrons, the atomic binding energy is the sum of the energy of <a href="/wiki/Ionization_energies_of_the_elements_(data_page)" title="Ionization energies of the elements (data page)">first ionization</a> (24.587 eV) and the energy of <a href="/wiki/Ionization_energies_of_the_elements_(data_page)" title="Ionization energies of the elements (data page)">second ionization</a> (54.418 eV), for a total of 79.005 eV. </td> <td><a href="/wiki/Quantum_chemistry" title="Quantum chemistry">Atomic level</a> </td></tr> <tr> <td>Nuclear binding energy </td> <td><a href="/wiki/Nuclear_binding_energy" title="Nuclear binding energy">Nuclear binding energy</a> is the energy required to disassemble a <a href="/wiki/Atomic_nucleus" title="Atomic nucleus">nucleus</a> into the free, unbound <a href="/wiki/Neutron" title="Neutron">neutrons</a> and <a href="/wiki/Proton" title="Proton">protons</a> it is composed of. It is the energy equivalent of the <a href="/wiki/Mass_defect" class="mw-redirect" title="Mass defect">mass defect</a>, the difference between the <a href="/wiki/Mass_number" title="Mass number">mass number</a> of a nucleus and its measured mass.<sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> Nuclear binding energy derives from the <a href="/wiki/Nuclear_force" title="Nuclear force">nuclear force</a> or residual strong force, which is mediated by three types of <a href="/wiki/Meson" title="Meson">mesons</a>. </td> <td>The average nuclear binding energy per nucleon ranges from 1.11226 MeV for <a href="/wiki/Hydrogen-2" class="mw-redirect" title="Hydrogen-2">hydrogen-2</a> to 8.7945 MeV for <a href="/wiki/Nickel-62" title="Nickel-62">nickel-62</a>. </td> <td><a href="/wiki/Nuclear_physics" title="Nuclear physics">Nuclear level</a> </td></tr> <tr> <td>Quantum chromodynamics binding energy </td> <td><a href="/wiki/Quantum_chromodynamics_binding_energy" title="Quantum chromodynamics binding energy">Quantum chromodynamics binding energy</a> is misusing the denomination of a lack of energy. It addresses the mass and kinetic energy of the parts that bind the various <a href="/wiki/Quark" title="Quark">quarks</a> together inside a <a href="/wiki/Hadron" title="Hadron">hadron</a>. This energy derives from the <a href="/wiki/Strong_interaction" title="Strong interaction">strong interaction</a>, which is mediated by <a href="/wiki/Gluon" title="Gluon">gluons</a> through virtual gluons and sea quarks. </td> <td>The chromodynamic binding energy inside a <a href="/wiki/Nucleon" title="Nucleon">nucleon</a> amounts to approximately 99% of the nucleon's mass. <p>The chromodynamic binding energy of a proton is about 928.9 MeV, while that of a neutron is about 927.7 MeV. Large binding energy between bottom quarks (280 MeV) causes some (theoretically expected) reactions with <a href="/wiki/Lambda_baryon" title="Lambda baryon">lambda baryons</a> to <a href="/wiki/Q_value_(nuclear_science)" title="Q value (nuclear science)">release</a> 138 MeV per event.<sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> </p> </td> <td><a href="/wiki/Elementary_particle" title="Elementary particle">Elementary particle level</a> </td></tr></tbody></table> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(2)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="Mass–energy_relation"><span id="Mass.E2.80.93energy_relation"></span>Mass–energy relation</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Binding_energy&action=edit&section=2" title="Edit section: Mass–energy relation" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-2 collapsible-block" id="mf-section-2"> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">Main articles: <a href="/wiki/Mass%E2%80%93energy_equivalence" title="Mass–energy equivalence">Mass–energy equivalence</a> and <a href="/wiki/Mass_in_special_relativity" title="Mass in special relativity">Mass in special relativity</a></div> <p>A bound system is typically at a lower energy level than its unbound constituents because its mass must be less than the total mass of its unbound constituents. For systems with low binding energies, this "lost" mass after binding may be fractionally small, whereas for systems with high binding energies, the missing mass may be an easily measurable fraction. This missing mass may be lost during the process of binding as energy in the form of heat or light, with the removed energy corresponding to the removed mass through Einstein's equation <a href="/wiki/Mass%E2%80%93energy_equivalence" title="Mass–energy equivalence"><span class="texhtml"><i>E</i> = <i>mc</i><sup>2</sup></span></a>. In the process of binding, the constituents of the system might enter higher energy states of the nucleus/atom/molecule while retaining their mass, and because of this, it is necessary that they are removed from the system before its mass can decrease. Once the system cools to normal temperatures and returns to ground states regarding energy levels, it will contain less mass than when it first combined and was at high energy. This loss of heat represents the "mass deficit", and the heat itself retains the mass that was lost (from the point of view of the initial system). This mass will appear in any other system that absorbs the heat and gains thermal energy.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> </p><p>For example, if two objects are attracting each other in space through their <a href="/wiki/Gravitational_field" title="Gravitational field">gravitational field</a>, the attraction force accelerates the objects, increasing their velocity, which converts their potential energy (gravity) into kinetic energy. When the particles either pass through each other without interaction or elastically repel during the collision, the gained kinetic energy (related to speed) begins to revert into potential energy, driving the collided particles apart. The decelerating particles will return to the initial distance and beyond into infinity, or stop and repeat the collision (oscillation takes place). This shows that the system, which loses no energy, does not combine (bind) into a solid object, parts of which oscillate at short distances. Therefore, to bind the particles, the kinetic energy gained due to the attraction must be dissipated by resistive force. Complex objects in collision ordinarily undergo <a href="/wiki/Inelastic_collision" title="Inelastic collision">inelastic collision</a>, transforming some kinetic energy into internal energy (heat content, which is atomic movement), which is further radiated in the form of photons – the light and heat. Once the energy to escape the gravity is dissipated in the collision, the parts will oscillate at a closer, possibly atomic, distance, thus looking like one solid object. This lost energy, necessary to overcome the potential barrier to separate the objects, is the binding energy. If this binding energy were retained in the system as heat, its mass would not decrease, whereas binding energy lost from the system as heat radiation would itself have mass. It directly represents the "mass deficit" of the cold, bound system. </p><p>Closely analogous considerations apply in chemical and nuclear reactions. Exothermic chemical reactions in closed systems do not change mass, but do become less massive once the heat of reaction is removed, though this mass change is too small to measure with standard equipment. In <a href="/wiki/Nuclear_reaction" title="Nuclear reaction">nuclear reactions</a>, the fraction of mass that may be removed as light or heat, i.e. binding energy, is often a much larger fraction of the system mass. It may thus be measured directly as a mass difference between <a href="/wiki/Rest_mass" class="mw-redirect" title="Rest mass">rest masses</a> of reactants and (cooled) products. This is because nuclear forces are comparatively stronger than the Coulombic forces associated with the interactions between electrons and protons that generate heat in chemistry. </p> <div class="mw-heading mw-heading3"><h3 id="Mass_change">Mass change</h3><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Binding_energy&action=edit&section=3" title="Edit section: Mass change" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div> <p>Mass change (decrease) in bound systems, particularly atomic nuclei, has also been termed <i>mass defect</i>, <i>mass deficit</i>, or mass <i>packing fraction</i>.<sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="I've never heard of the term packing fraction used in this context (December 2014)">citation needed</span></a></i>]</sup> </p><p>The difference between the unbound system calculated mass and experimentally measured mass of nucleus (mass change) is denoted as Δ<i>m</i>. It can be calculated as follows: </p> <dl><dd>Mass change = (unbound system calculated mass) − (measured mass of system) <dl><dd>e.g. (sum of masses of protons and neutrons) − (measured mass of nucleus)</dd></dl></dd></dl> <p>After a nuclear reaction occurs that results in an excited nucleus, the energy that must be <a href="/wiki/Radiation" title="Radiation">radiated</a> or otherwise removed as binding energy in order to decay to the unexcited state may be in one of several forms. This may be electromagnetic waves, such as <a href="/wiki/Gamma_radiation" class="mw-redirect" title="Gamma radiation">gamma radiation</a>; the kinetic energy of an ejected particle, such as an electron, in <a href="/wiki/Internal_conversion" title="Internal conversion">internal conversion</a> decay; or partly as the rest mass of one or more emitted particles, such as the particles of <a href="/wiki/Beta_decay" title="Beta decay">beta decay</a>. No mass deficit can appear, in theory, until this radiation or this energy has been emitted and is no longer part of the system. </p><p>When nucleons bind together to form a nucleus, they must lose a small amount of mass, i.e. there is a change in mass to stay bound. This mass change must be released as various types of photon or other particle energy as above, according to the relation <span class="texhtml"><i>E</i> = <i>mc</i><sup>2</sup></span>. Thus, after the binding energy has been removed, <b>binding energy = mass change × <span class="texhtml"><i>c</i><sup>2</sup></span></b>. This energy is a measure of the forces that hold the nucleons together. It represents energy that must be resupplied from the environment for the nucleus to be broken up into individual nucleons. </p><p>For example, an atom of <a href="/wiki/Deuterium" title="Deuterium">deuterium</a> has a mass defect of 0.0023884 Da, and its binding energy is nearly equal to 2.23 MeV. This means that energy of 2.23 MeV is required to disintegrate an atom of deuterium. </p><p>The energy given off during either <a href="/wiki/Nuclear_fusion" title="Nuclear fusion">nuclear fusion</a> or <a href="/wiki/Nuclear_fission" title="Nuclear fission">nuclear fission</a> is the difference of the binding energies of the "fuel", i.e. the initial nuclide(s), from that of the fission or fusion products. In practice, this energy may also be calculated from the substantial mass differences between the fuel and products, which uses previous measurements of the <a href="/wiki/Atomic_mass" title="Atomic mass">atomic masses</a> of known nuclides, which always have the same mass for each species. This mass difference appears once evolved heat and radiation have been removed, which is required for measuring the (rest) masses of the (non-excited) nuclides involved in such calculations. </p> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(3)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="See_also">See also</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Binding_energy&action=edit&section=4" title="Edit section: See also" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-3 collapsible-block" id="mf-section-3"> <ul><li><a href="/wiki/Semi-empirical_mass_formula" title="Semi-empirical mass formula">Semi-empirical mass formula</a></li> <li><a href="/wiki/Separation_energy" title="Separation energy">Separation energy</a> (binding energy of one nucleon)</li> <li><a href="/wiki/Virial_mass" title="Virial mass">Virial mass</a></li> <li><a href="/wiki/Prout%27s_hypothesis" title="Prout's hypothesis">Prout's hypothesis</a>, an early model of the atom that did not account for <a href="/wiki/Mass_defect" class="mw-redirect" title="Mass defect">mass defect</a></li></ul> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(4)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="References">References</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Binding_energy&action=edit&section=5" title="Edit section: References" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-4 collapsible-block" id="mf-section-4"> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFRohlf1994" class="citation book cs1">Rohlf, James William (1994). <i>Modern Physics from α to Z°</i>. John Wiley & Sons. p. 20. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0471572705" title="Special:BookSources/0471572705"><bdi>0471572705</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Modern+Physics+from+%CE%B1+to+Z%C2%B0&rft.pages=20&rft.pub=John+Wiley+%26+Sons&rft.date=1994&rft.isbn=0471572705&rft.aulast=Rohlf&rft.aufirst=James+William&rfr_id=info%3Asid%2Fen.wikipedia.org%3ABinding+energy" class="Z3988"></span></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFEisbergResnick1985" class="citation book cs1">Eisberg, Robert; Resnick, Robert (1985). <i>Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles</i> (2nd ed.). John Wiley & Sons. p. 524. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/047187373X" title="Special:BookSources/047187373X"><bdi>047187373X</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Quantum+Physics+of+Atoms%2C+Molecules%2C+Solids%2C+Nuclei%2C+and+Particles&rft.pages=524&rft.edition=2nd&rft.pub=John+Wiley+%26+Sons&rft.date=1985&rft.isbn=047187373X&rft.aulast=Eisberg&rft.aufirst=Robert&rft.au=Resnick%2C+Robert&rfr_id=info%3Asid%2Fen.wikipedia.org%3ABinding+energy" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><a href="/wiki/International_Union_of_Pure_and_Applied_Chemistry" title="International Union of Pure and Applied Chemistry">IUPAC</a>, <i><a href="/wiki/IUPAC_books#Gold_Book" class="mw-redirect" title="IUPAC books">Compendium of Chemical Terminology</a></i>, 2nd ed. (the "Gold Book") (1997). Online corrected version: (2006–) "<a rel="nofollow" class="external text" href="https://goldbook.iupac.org/terms/view/I03199.html">Ionization energy</a>". <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1351%2Fgoldbook.I03199">10.1351/goldbook.I03199</a></span> </li> <li id="cite_note-nuclearpower-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-nuclearpower_4-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="http://www.nuclear-power.net/nuclear-power/reactor-physics/atomic-nuclear-physics/binding-energy/">"Binding Energy"</a>. <i>Nuclear Power</i><span class="reference-accessdate">. Retrieved <span class="nowrap">16 May</span> 2015</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Nuclear+Power&rft.atitle=Binding+Energy&rft_id=http%3A%2F%2Fwww.nuclear-power.net%2Fnuclear-power%2Freactor-physics%2Fatomic-nuclear-physics%2Fbinding-energy%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3ABinding+energy" class="Z3988"></span></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBodansky2005" class="citation book cs1">Bodansky, David (2005). <i>Nuclear Energy: Principles, Practices, and Prospects</i> (2nd ed.). New York: Springer Science + Business Media, LLC. p. 625. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9780387269313" title="Special:BookSources/9780387269313"><bdi>9780387269313</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Nuclear+Energy%3A+Principles%2C+Practices%2C+and+Prospects&rft.place=New+York&rft.pages=625&rft.edition=2nd&rft.pub=Springer+Science+%2B+Business+Media%2C+LLC&rft.date=2005&rft.isbn=9780387269313&rft.aulast=Bodansky&rft.aufirst=David&rfr_id=info%3Asid%2Fen.wikipedia.org%3ABinding+energy" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFWong2004" class="citation book cs1">Wong, Samuel S.M. (2004). <span class="id-lock-limited" title="Free access subject to limited trial, subscription normally required"><a rel="nofollow" class="external text" href="https://archive.org/details/introductorynucl00wong_914"><i>Introductory nuclear physics</i></a></span> (2nd ed.). Weinheim: <a href="/wiki/Wiley-VCH" title="Wiley-VCH">Wiley-VCH</a>. pp. <a rel="nofollow" class="external text" href="https://archive.org/details/introductorynucl00wong_914/page/n23">9</a>–10. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9783527617913" title="Special:BookSources/9783527617913"><bdi>9783527617913</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Introductory+nuclear+physics&rft.place=Weinheim&rft.pages=9-10&rft.edition=2nd&rft.pub=Wiley-VCH&rft.date=2004&rft.isbn=9783527617913&rft.aulast=Wong&rft.aufirst=Samuel+S.M.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fintroductorynucl00wong_914&rfr_id=info%3Asid%2Fen.wikipedia.org%3ABinding+energy" class="Z3988"></span></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text">Karliner, Marek, and Jonathan L. Rosner. "Quark-level analogue of nuclear fusion with doubly heavy baryons". Nature 551.7678 (2017): 89.</span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text">E. F. Taylor and J. A. Wheeler, <i>Spacetime Physics</i>, W.H. Freeman and Co., NY. 1992. <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/0716723271" title="Special:BookSources/0716723271">0716723271</a>, see pp. 248–249 for discussion of mass remaining constant after detonation of nuclear bombs until heat is allowed to escape.</span> </li> </ol></div></div> </section><div class="mw-heading mw-heading2 section-heading" onclick="mfTempOpenSection(5)"><span class="indicator mf-icon mf-icon-expand mf-icon--small"></span><h2 id="External_links">External links</h2><span class="mw-editsection"> <a role="button" href="/w/index.php?title=Binding_energy&action=edit&section=6" title="Edit section: External links" class="cdx-button cdx-button--size-large cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--icon-only cdx-button--weight-quiet "> <span class="minerva-icon minerva-icon--edit"></span> <span>edit</span> </a> </span> </div><section class="mf-section-5 collapsible-block" id="mf-section-5"> <ul><li><a rel="nofollow" class="external text" href="http://hyperphysics.phy-astr.gsu.edu/hbase/nucene/nucbin.html">Nuclear Binding Energy</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20070830110015/http://www.science.uwaterloo.ca/~cchieh/cact/nuctek/nuclideunstable.html">Mass and Nuclide Stability</a></li> <li><a rel="nofollow" class="external text" href="http://www.nndc.bnl.gov/masses/mass.mas03">Experimental atomic mass data compiled Nov. 2003</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20080923134721/http://www.nndc.bnl.gov/masses/mass.mas03">Archived</a> 2008-09-23 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><style data-mw-deduplicate="TemplateStyles:r1236075235">.mw-parser-output .navbox{box-sizing:border-box;border:1px solid #a2a9b1;width:100%;clear:both;font-size:88%;text-align:center;padding:1px;margin:1em auto 0}.mw-parser-output .navbox .navbox{margin-top:0}.mw-parser-output .navbox+.navbox,.mw-parser-output .navbox+.navbox-styles+.navbox{margin-top:-1px}.mw-parser-output .navbox-inner,.mw-parser-output .navbox-subgroup{width:100%}.mw-parser-output .navbox-group,.mw-parser-output .navbox-title,.mw-parser-output .navbox-abovebelow{padding:0.25em 1em;line-height:1.5em;text-align:center}.mw-parser-output .navbox-group{white-space:nowrap;text-align:right}.mw-parser-output .navbox,.mw-parser-output .navbox-subgroup{background-color:#fdfdfd}.mw-parser-output .navbox-list{line-height:1.5em;border-color:#fdfdfd}.mw-parser-output .navbox-list-with-group{text-align:left;border-left-width:2px;border-left-style:solid}.mw-parser-output tr+tr>.navbox-abovebelow,.mw-parser-output tr+tr>.navbox-group,.mw-parser-output tr+tr>.navbox-image,.mw-parser-output tr+tr>.navbox-list{border-top:2px solid #fdfdfd}.mw-parser-output .navbox-title{background-color:#ccf}.mw-parser-output .navbox-abovebelow,.mw-parser-output .navbox-group,.mw-parser-output .navbox-subgroup .navbox-title{background-color:#ddf}.mw-parser-output .navbox-subgroup .navbox-group,.mw-parser-output .navbox-subgroup .navbox-abovebelow{background-color:#e6e6ff}.mw-parser-output .navbox-even{background-color:#f7f7f7}.mw-parser-output .navbox-odd{background-color:transparent}.mw-parser-output .navbox .hlist td dl,.mw-parser-output .navbox .hlist td ol,.mw-parser-output .navbox .hlist td ul,.mw-parser-output .navbox td.hlist dl,.mw-parser-output .navbox td.hlist ol,.mw-parser-output .navbox td.hlist ul{padding:0.125em 0}.mw-parser-output .navbox .navbar{display:block;font-size:100%}.mw-parser-output .navbox-title .navbar{float:left;text-align:left;margin-right:0.5em}body.skin--responsive .mw-parser-output .navbox-image img{max-width:none!important}@media print{body.ns-0 .mw-parser-output .navbox{display:none!important}}</style></div>    </section></div> <noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=mobile&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Binding_energy&oldid=1261489544">https://en.wikipedia.org/w/index.php?title=Binding_energy&oldid=1261489544</a>"</div></div> </div> <div class="post-content" id="page-secondary-actions"> </div> </main> <footer class="mw-footer minerva-footer" role="contentinfo"> <a class="last-modified-bar" href="/w/index.php?title=Binding_energy&action=history"> <div class="post-content last-modified-bar__content"> <span class="minerva-icon minerva-icon-size-medium minerva-icon--modified-history"></span> <span class="last-modified-bar__text modified-enhancement" data-user-name="CJKVR" data-user-gender="unknown" data-timestamp="1733482400"> <span>Last edited on 6 December 2024, at 10:53</span> </span> <span class="minerva-icon minerva-icon-size-small minerva-icon--expand"></span> </div> </a> <div class="post-content footer-content"> <div id='mw-data-after-content'> <div class="read-more-container"></div> </div> <div id="p-lang"> <h4>Languages</h4> <section> <ul id="p-variants" class="minerva-languages"></ul> <ul class="minerva-languages"><li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Bindingsenergie" title="Bindingsenergie – Afrikaans" lang="af" hreflang="af" data-title="Bindingsenergie" 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/%D8%B7%D8%A7%D9%82%D8%A9_%D8%A7%D9%84%D8%A7%D8%B1%D8%AA%D8%A8%D8%A7%D8%B7" title="طاقة الارتباط – Arabic" lang="ar" hreflang="ar" data-title="طاقة الارتباط" data-language-autonym="العربية" data-language-local-name="Arabic" 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%AD%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%8F_%D1%81%D1%83%D0%B2%D1%8F%D0%B7%D1%96" title="Энергія сувязі – Belarusian" lang="be" hreflang="be" data-title="Энергія сувязі" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%AD%D0%BD%D1%8D%D1%80%D0%B3%D1%96%D1%8F_%D1%81%D1%83%D0%B2%D1%8F%D0%B7%D1%96" title="Энэргія сувязі – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Энэргія сувязі" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F_%D0%BD%D0%B0_%D1%81%D0%B2%D1%8A%D1%80%D0%B7%D0%B2%D0%B0%D0%BD%D0%B5" title="Енергия на свързване – Bulgarian" lang="bg" hreflang="bg" data-title="Енергия на свързване" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Energia_de_lligadura" title="Energia de lligadura – Catalan" lang="ca" hreflang="ca" data-title="Energia de lligadura" data-language-autonym="Català" data-language-local-name="Catalan" 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/Bindingsenergi" title="Bindingsenergi – Danish" lang="da" hreflang="da" data-title="Bindingsenergi" data-language-autonym="Dansk" data-language-local-name="Danish" 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/Bindungsenergie" title="Bindungsenergie – German" lang="de" hreflang="de" data-title="Bindungsenergie" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Seoseenergia" title="Seoseenergia – Estonian" lang="et" hreflang="et" data-title="Seoseenergia" data-language-autonym="Eesti" data-language-local-name="Estonian" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Energ%C3%ADa_de_uni%C3%B3n" title="Energía de unión – Spanish" lang="es" hreflang="es" data-title="Energía de unión" data-language-autonym="Español" data-language-local-name="Spanish" 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/Lotze-energia" title="Lotze-energia – Basque" lang="eu" hreflang="eu" data-title="Lotze-energia" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D9%86%D8%B1%DA%98%DB%8C_%D8%A8%D8%B3%D8%AA%DA%AF%DB%8C" title="انرژی بستگی – Persian" lang="fa" hreflang="fa" data-title="انرژی بستگی" data-language-autonym="فارسی" data-language-local-name="Persian" 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/%C3%89nergie_de_liaison" title="Énergie de liaison – French" lang="fr" hreflang="fr" data-title="Énergie de liaison" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BF%D5%A1%D5%BA%D5%AB_%D5%A7%D5%B6%D5%A5%D6%80%D5%A3%D5%AB%D5%A1" title="Կապի էներգիա – Armenian" lang="hy" hreflang="hy" data-title="Կապի էներգիա" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%AC%E0%A4%82%E0%A4%A7%E0%A4%A8_%E0%A4%8A%E0%A4%B0%E0%A5%8D%E0%A4%9C%E0%A4%BE" title="बंधन ऊर्जा – Hindi" lang="hi" hreflang="hi" data-title="बंधन ऊर्जा" data-language-autonym="हिन्दी" data-language-local-name="Hindi" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Energija_vezanja" title="Energija vezanja – Croatian" lang="hr" hreflang="hr" data-title="Energija vezanja" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Energi_pengikatan" title="Energi pengikatan – Indonesian" lang="id" hreflang="id" data-title="Energi pengikatan" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesian" 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/Energia_di_legame" title="Energia di legame – Italian" lang="it" hreflang="it" data-title="Energia di legame" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Ry%C5%A1io_energija" title="Ryšio energija – Lithuanian" lang="lt" hreflang="lt" data-title="Ryšio energija" data-language-autonym="Lietuvių" data-language-local-name="Lithuanian" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/K%C3%B6t%C3%A9si_energia" title="Kötési energia – Hungarian" lang="hu" hreflang="hu" data-title="Kötési energia" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%AC%E0%B4%A8%E0%B5%8D%E0%B4%A7%E0%B4%A8%E0%B5%8B%E0%B5%BC%E0%B4%9C%E0%B5%8D%E0%B4%9C%E0%B4%82" title="ബന്ധനോർജ്ജം – Malayalam" lang="ml" hreflang="ml" data-title="ബന്ധനോർജ്ജം" data-language-autonym="മലയാളം" data-language-local-name="Malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Tenaga_pengikatan" title="Tenaga pengikatan – Malay" lang="ms" hreflang="ms" data-title="Tenaga pengikatan" data-language-autonym="Bahasa Melayu" data-language-local-name="Malay" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A5%D0%BE%D0%BB%D0%B1%D0%BE%D0%B3%D0%B4%D0%BE%D1%85_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8" title="Холбогдох энерги – Mongolian" lang="mn" hreflang="mn" data-title="Холбогдох энерги" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Bindingsenergie" title="Bindingsenergie – Dutch" lang="nl" hreflang="nl" data-title="Bindingsenergie" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E7%B5%90%E5%90%88%E3%82%A8%E3%83%8D%E3%83%AB%E3%82%AE%E3%83%BC" title="結合エネルギー – Japanese" lang="ja" hreflang="ja" data-title="結合エネルギー" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ce mw-list-item"><a href="https://ce.wikipedia.org/wiki/%D0%97%D3%80%D0%B5%D0%BD_%D1%8D%D0%BD%D0%B5%D1%80%D0%B3%D0%B8" title="ЗӀен энерги – Chechen" lang="ce" hreflang="ce" data-title="ЗӀен энерги" data-language-autonym="Нохчийн" data-language-local-name="Chechen" class="interlanguage-link-target"><span>Нохчийн</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Bindingsenergi" title="Bindingsenergi – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Bindingsenergi" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Bindingsenergi" title="Bindingsenergi – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Bindingsenergi" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Energia_wi%C4%85zania" title="Energia wiązania – Polish" lang="pl" hreflang="pl" data-title="Energia wiązania" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%AD%D0%BD%D0%B5%D1%80%D0%B3%D0%B8%D1%8F_%D1%81%D0%B2%D1%8F%D0%B7%D0%B8" title="Энергия связи – Russian" lang="ru" hreflang="ru" data-title="Энергия связи" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Vezavna_energija" title="Vezavna energija – Slovenian" lang="sl" hreflang="sl" data-title="Vezavna energija" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" 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/Energija_vezanja" title="Energija vezanja – Serbian" lang="sr" hreflang="sr" data-title="Energija vezanja" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Sidosenergia" title="Sidosenergia – Finnish" lang="fi" hreflang="fi" data-title="Sidosenergia" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Bindningsenergi" title="Bindningsenergi – Swedish" lang="sv" hreflang="sv" data-title="Bindningsenergi" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%AA%E0%AE%BF%E0%AE%A3%E0%AF%88_%E0%AE%86%E0%AE%B1%E0%AF%8D%E0%AE%B1%E0%AE%B2%E0%AF%8D" title="பிணை ஆற்றல் – Tamil" lang="ta" hreflang="ta" data-title="பிணை ஆற்றல்" data-language-autonym="தமிழ்" data-language-local-name="Tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%9E%E0%B8%A5%E0%B8%B1%E0%B8%87%E0%B8%87%E0%B8%B2%E0%B8%99%E0%B8%A2%E0%B8%B6%E0%B8%94%E0%B9%80%E0%B8%AB%E0%B8%99%E0%B8%B5%E0%B9%88%E0%B8%A2%E0%B8%A7" title="พลังงานยึดเหนี่ยว – Thai" lang="th" hreflang="th" data-title="พลังงานยึดเหนี่ยว" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Ba%C4%9Flanma_enerjisi" title="Bağlanma enerjisi – Turkish" lang="tr" hreflang="tr" data-title="Bağlanma enerjisi" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%95%D0%BD%D0%B5%D1%80%D0%B3%D1%96%D1%8F_%D0%B7%D0%B2%27%D1%8F%D0%B7%D0%BA%D1%83" title="Енергія зв'язку – Ukrainian" lang="uk" hreflang="uk" data-title="Енергія зв'язку" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E7%BB%93%E5%90%88%E8%83%BD" title="结合能 – Chinese" lang="zh" hreflang="zh" data-title="结合能" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li></ul> </section> </div> <div class="minerva-footer-logo"><img src="/static/images/mobile/copyright/wikipedia-wordmark-en.svg" alt="Wikipedia" width="120" height="18" style="width: 7.5em; height: 1.125em;"/> </div> <ul id="footer-info" class="footer-info hlist hlist-separated"> <li id="footer-info-lastmod"> This page was last edited on 6 December 2024, at 10:53<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Content is available under <a class="external" rel="nofollow" href="https://creativecommons.org/licenses/by-sa/4.0/deed.en">CC BY-SA 4.0</a> unless otherwise noted.</li> </ul> <ul id="footer-places" class="footer-places hlist hlist-separated"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Privacy policy</a></li> <li id="footer-places-about"><a href="/wiki/Wikipedia:About">About Wikipedia</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikipedia:General_disclaimer">Disclaimers</a></li> <li id="footer-places-contact"><a href="//en.wikipedia.org/wiki/Wikipedia:Contact_us">Contact Wikipedia</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Code of Conduct</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Developers</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/en.wikipedia.org">Statistics</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Cookie statement</a></li> <li id="footer-places-terms-use"><a href="https://foundation.m.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">Terms of Use</a></li> <li id="footer-places-desktop-toggle"><a id="mw-mf-display-toggle" href="//en.wikipedia.org/w/index.php?title=Binding_energy&mobileaction=toggle_view_desktop" data-event-name="switch_to_desktop">Desktop</a></li> </ul> </div> </footer> </div> </div> <div class="mw-notification-area" data-mw="interface"></div>  <script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-5f467697bf-bsfzl","wgBackendResponseTime":150,"wgPageParseReport":{"limitreport":{"cputime":"0.349","walltime":"0.458","ppvisitednodes":{"value":1429,"limit":1000000},"postexpandincludesize":{"value":17603,"limit":2097152},"templateargumentsize":{"value":2155,"limit":2097152},"expansiondepth":{"value":16,"limit":100},"expensivefunctioncount":{"value":5,"limit":500},"unstrip-depth":{"value":1,"limit":20},"unstrip-size":{"value":29102,"limit":5000000},"entityaccesscount":{"value":1,"limit":400},"timingprofile":["100.00% 418.737 1 -total"," 36.42% 152.512 1 Template:Reflist"," 21.62% 90.549 4 Template:Cite_book"," 20.45% 85.636 1 Template:Authority_control"," 17.60% 73.683 1 Template:Short_description"," 11.29% 47.282 2 Template:Pagetype"," 10.10% 42.312 1 Template:Citation_needed"," 9.34% 39.099 1 Template:Fix"," 6.61% 27.683 2 Template:Category_handler"," 5.71% 23.911 1 Template:Main"]},"scribunto":{"limitreport-timeusage":{"value":"0.207","limit":"10.000"},"limitreport-memusage":{"value":5364988,"limit":52428800}},"cachereport":{"origin":"mw-api-int.codfw.main-7d7c8f785d-5xmwd","timestamp":"20250211202718","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Binding energy","url":"https:\/\/en.wikipedia.org\/wiki\/Binding_energy","sameAs":"http:\/\/www.wikidata.org\/entity\/Q420754","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q420754","author":{"@type":"Organization","name":"Contributors to Wikimedia projects"},"publisher":{"@type":"Organization","name":"Wikimedia Foundation, Inc.","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2002-10-22T22:05:42Z","dateModified":"2024-12-06T10:53:20Z","headline":"forms of energy"}</script><script>(window.NORLQ=window.NORLQ||[]).push(function(){var ns,i,p,img;ns=document.getElementsByTagName('noscript');for(i=0;i<ns.length;i++){p=ns[i].nextSibling;if(p&&p.className&&p.className.indexOf('lazy-image-placeholder')>-1){img=document.createElement('img');img.setAttribute('src',p.getAttribute('data-src'));img.setAttribute('width',p.getAttribute('data-width'));img.setAttribute('height',p.getAttribute('data-height'));img.setAttribute('alt',p.getAttribute('data-alt'));p.parentNode.replaceChild(img,p);}}});</script> </body> </html>