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About: Boltzmann constant
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It occurs in the definitions of the kelvin and the gas constant, and in Planck's law of black-body radiation and Boltzmann's entropy formula, and is used in calculating thermal noise in resistors. The Boltzmann constant has dimensions of energy divided by temperature, the same as entropy. 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title="Switch to /sparql endpoint"><i class="bi-box-arrow-up-right"></i> Sparql Endpoint </a> </li> </ul> </div> </div> </nav> <div style="margin-bottom: 60px"></div> <!-- /navbar --> <!-- page-header --> <section> <div class="container-xl"> <div class="row"> <div class="col"> <h1 id="title" class="display-6"><b>About:</b> <a href="http://dbpedia.org/resource/Boltzmann_constant">Boltzmann constant</a> </h1> </div> </div> <div class="row"> <div class="col"> <div class="text-muted"> <span class="text-nowrap">An Entity of Type: <a href="http://dbpedia.org/class/yago/Abstraction100002137">Abstraction100002137</a>, </span> <span class="text-nowrap">from Named Graph: <a href="http://dbpedia.org">http://dbpedia.org</a>, </span> <span class="text-nowrap">within Data Space: <a href="http://dbpedia.org">dbpedia.org</a></span> </div> </div> </div> <div class="row pt-2"> <div class="col-xs-9 col-sm-10"> <p class="lead">The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas. It occurs in the definitions of the kelvin and the gas constant, and in Planck's law of black-body radiation and Boltzmann's entropy formula, and is used in calculating thermal noise in resistors. The Boltzmann constant has dimensions of energy divided by temperature, the same as entropy. It is named after the Austrian scientist Ludwig Boltzmann.</p> </div> <div class="col-xs-3 col-sm-2"> <a href="#" class="thumbnail"> <img src="http://commons.wikimedia.org/wiki/Special:FilePath/Boltzmann2.jpg?width=300" alt="thumbnail" class="img-fluid" /> </a> </div> </div> </div> </section> <!-- page-header --> <!-- property-table --> <section> <div class="container-xl"> <div class="row"> <div class="table-responsive"> <table class="table table-hover table-sm table-light"> <thead> <tr> <th class="col-xs-3 ">Property</th> <th class="col-xs-9 px-3">Value</th> </tr> </thead> <tbody> <tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/abstract"><small>dbo:</small>abstract</a> </td><td class="col-10 text-break"><ul> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ca" >La constant de Boltzmann (k o kB) és la constant física que relaciona la temperatura i l'energia. S'anomena així pel físic austríac Ludwig Boltzmann, que va fer contribucions importants a la teoria de la mecànica estadística, en la qual kB té un paper crucial. El seu valor experimentalment determinat és (en unitats del SI): i en altres unitats: kB = 8,6173324(78) × 10–5 eV·K-1 kB = 1,3806488(13) × 10–16 erg·K-1 Les xifres entre parèntesis són la incertesa (desviació estàndard) en els darrers dos dígits del valor mesurat. En principi la constant de Boltzmann és una constant física derivada, per tant el seu valor és determinat per altres constants físiques. Sigui com sigui, calcular la constant de Boltzmann des de primers principis és de lluny massa complex pels coneixements a l'ús. La constant dels gasos R és simplement la constant de Boltzmann multiplicada pel Nombre d'Avogadro. La constant dels gasos és més útil quan es calculen nombres de partícules en mols. Donat un sistema termodinàmic, a una temperatura absoluta T, la constant de Boltzmann defineix una energia E=kBT, que correspon, aproximadament, a la quantitat típica d'energia tèrmica portada per cada partícula microscòpica del sistema. Per exemple, un àtom en un gas ideal clàssic té una energia cinètica d'1,5 kBT. L'energia kBT associada a la temperatura d'una habitació, 300 K (27 °C, o 80 °F, és 4,14 × 10–21 J (25,9 meV).</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ar" >ثابت بولتزمان (k or kB) هو أحد الثوابت الفيزيائية وهو يعطي العلاقة بين طاقة الجزيء أو الذرة في الحالة الغازية ودرجة الحرارة. فهو يعطي متوسط طاقة الحركة لكل جزيء أو ذرة في الغاز بمجرد معرفة درجة الحرارة المطلقة للغاز. وهو عبارة عن حاصل قسمة ثابت الغازاتR على عدد أفوجادرو NA: * R ثابت الغازات = 8.314 (جول/كلفن/مول) * NA = 6,022 ×1023 لثابت بولتزمان نفس وحدات الإنتروبية. وهو ثابت يسمى باسم عالم الفيزياء النمساوي لودفيغ بولتزمان.</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="cs" >Boltzmannova konstanta vyjadřuje vztah mezi termodynamickou teplotou a vnitřní energií plynu. Je číselně rovna dvěma třetinám tepelné kapacity jednoatomového ideálního plynu (např. vzácného) při stálém objemu vztažené na jednu molekulu. Boltzmannova konstanta také úzce souvisí s entropií, je její přirozenou jednotkou. Byla pojmenována po rakouském fyzikovi Ludwigu Boltzmannovi, který se významně podílel na rozvoji statistické fyziky, kde tato konstanta hraje klíčovou roli.</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="el" >Η σταθερά του Μπόλτσμαν (Boltzmann constant), συμβολιζόμενη ως k ή και kB, είναι μία φυσική σταθερά, η οποία συσχετίζει τη μέση κινητική ενέργεια των σωματιδίων ενός αερίου με τη θερμοκρασία του αερίου. Απαντάται στον για την ακτινοβολία μέλανος σώματος και στη σχέση της εντροπίας του Μπόλτσμαν. Η σταθερά αυτή εισάχθηκε πρώτα από τον Μαξ Πλανκ, αλλά φέρει το όνομα του Λούντβιχ Μπόλτσμαν. Προκύπτει από τη διαίρεση της παγκόσμιας σταθεράς των αερίων R δια του αριθμού του Αβογκάντρο NA: Η σταθερά του Μπόλτσμαν έχει διαστάσεις ενέργειας δια θερμοκρασία, τις ίδιες διαστάσεις με την εντροπία. Μέχρι το 2018, η τιμή της στο σύστημα SI ήταν μετρούμενη ποσότητα. Η συνιστώμενη τιμή της (με το σε παρένθεση) ήταν 1,38064852(79) × 10-23 J/K. Ιστορικά οι μετρήσεις της σταθεράς του Μπόλτσμαν εξαρτώνταν από τον ορισμό του βαθμού (K) της κλίμακας Κέλβιν μέσω του . Ωστόσο, στον επανορισμό των βασικών μονάδων του SI που υιοθετήθηκε στην 26η Γενική Διάσκεψη Μέτρων και Σταθμών (CGPM), στις 16 Νοεμβρίου 2018, ο ορισμός του βαθμού K άλλαξε σε έναν ορισμό βασισμένο σε μία σταθερή ακριβή αριθμητική τιμή της σταθεράς του Μπόλτσμαν, παρόμοια με τον τρόπο με τον οποίο δόθηκε στην ταχύτητα του φωτός μία συγκεκριμένη τιμή στη 17η CGPM το 1983. Η τελική αυτή τιμή είναι 1,380649 × 10-23 J/K.</span><small> (el)</small></span></li> <li><span class="literal"><span property="dbo:abstract" lang="en" >The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas. It occurs in the definitions of the kelvin and the gas constant, and in Planck's law of black-body radiation and Boltzmann's entropy formula, and is used in calculating thermal noise in resistors. The Boltzmann constant has dimensions of energy divided by temperature, the same as entropy. It is named after the Austrian scientist Ludwig Boltzmann. As part of the 2019 redefinition of SI base units, the Boltzmann constant is one of the seven "defining constants" that have been given exact definitions. They are used in various combinations to define the seven SI base units. The Boltzmann constant is defined to be exactly 1.380649×10−23 J⋅K−1.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="de" >Die Boltzmann-Konstante (Formelzeichen oder ) ist eine physikalische Konstante, die in der statistischen Mechanik eine zentrale Rolle spielt. Sie wurde von Max Planck eingeführt und nach dem österreichischen Physiker Ludwig Boltzmann benannt, einem der Begründer der statistischen Mechanik. Sie gilt als eine der fundamentalen Konstanten der Physik. Man kann sie aber auch als Skalierungsfaktor ansehen, der Energie- und Temperaturskala miteinander verknüpft.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="eo" >Konstanto de Boltzmann k (aŭ kB) estas fizika konstanto, kiu estas en ekvacioj pri distribuo de energio de molekuloj. Ĝia rekomendata valoro de en 2010 estas: , kie: Ro estas universala gaskonstanto, NA - nombro (aŭ konstanto) de Avogadro. Konstanto estas proporcia al mediano de energio de unu molekulo, rilatante al temperaturo T esprimata en kelvinoj.</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="es" >La constante de Boltzmann (k o kB) es la constante física que relaciona temperatura absoluta y energía. Se llama así en honor del físico austriaco Ludwig Boltzmann, quien hizo importantes contribuciones a la teoría de la mecánica estadística, en cuyas ecuaciones fundamentales esta constante desempeña un papel central. Su valor es un número fijo sin incertidumbre (26th CGPM de noviembre de 2018, en vigor desde el 20 de mayo de 2019):</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="eu" >Boltzmannen konstantea (k edo kB) eta energia lotzen dituen da. Bere izena Ludwig Boltzmann fisikari austriarragatik jasotzen du, nork ekarpen garrantzitsuak egin zituen mekanika estatistikoaren barnean, non konstante honek funtsezko paper bat betetzen duen. Bere balioa Nazioarteko Unitate Sisteman honakoa da:</span><small> (eu)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="fr" >La constante de Boltzmann k (ou kB) a été introduite par Ludwig Boltzmann dans sa définition de l'entropie de 1877. Le système étant à l'équilibre macroscopique, mais libre d'évoluer à l'échelle microscopique entre micro-états différents, son entropie S est donnée par : où la constante kB retenue par le CODATA vaut (valeur exacte). La constante des gaz parfaits est liée à la constante de Boltzmann par la relation : (avec (valeur exacte) le nombre d'Avogadro, nombre de particules dans une mole). D'où :. La constante de Boltzmann est une constante dimensionnée. Sa dimension [k] est ML2T–2Θ–1s.v.''_constante_de_Boltzmann_5-0" class="reference">. peut s'interpréter comme le facteur de proportionnalité reliant la température thermodynamique d'un système à son énergie au niveau microscopique, dite énergie interne. Dans les situations où le théorème d'équipartition de l'énergie s'applique, la constante de Boltzmann permet de mettre en lien l'énergie thermique et la température : * est l'expression de l'énergie dans les cas les plus simples avec un seul degré de liberté ; * , où est le nombre de degrés de liberté au sens des coordonnées généralisées. Si on prend une particule libre sur un axe, le nombre de degrés de liberté en translation est égal à 1. En revanche, si cette particule est soumise à une force de rappel sinusoïdale (du type ressort), il apparaît un degré de liberté en vibration. Le nombre de degrés de liberté total devient égal à 2. Cette constante apparaît dans toute la physique. On l'utilise pour convertir une grandeur mesurable, la température (en kelvins), en une énergie (en joules). Elle intervient par exemple dans : * le calcul du spectre électromagnétique du corps noir ; * les systèmes suivant une statistique de Maxwell-Boltzmann (ou loi de distribution des vitesses de Maxwell), notamment la loi d'Arrhenius ; * la constante de Stefan-Boltzmann ; * la constante radiative ; * l'énergie interne d'un gaz parfait.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ga" >Tairiseach leis an tsiombail k in aonaid J K-1 (giúl in aghaidh an cheilvin), le luach 1.381 × 10-23 J K-1. Sainmhínítear é mar R/NA, mar arb é R tairiseach mólarach na ngás is NA tairiseach Avogadro. Tagann sé i gceist i staidéar ar airíonna staitistiúla na ngás, agus ainmníodh as Ludwig Boltzmann é.</span><small> (ga)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="in" >Konstanta Boltzmann (k atau kB) adalah konstanta fisika yang menghubungkan energi pada tingkatan partikel dengan temperatur teramati pada tingkatan . Konstanta ini merupakan konstanta gas yang dibagi dengan konstanta Avogadro: Konstanta ini memiliki satuan yang sama dengan entropi, dinamakan sesuai dengan nama fisikawan Austria, Ludwig Boltzmann. Dia mempunyai kontribusi penting dalam bidang teori mekanika statistik, di mana konstanta ini mempunyai peranan penting. * l * * s</span><small> (in)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ko" >볼츠만 상수(Boltzmann常數, 영어: Boltzmann constant)는 입자 수준에서의 에너지와 거시 수준에서 관측된 온도를 연관시켜주는 물리 상수이며, 기체 상수와 아보가드로 수의 비이다. 기호는 k 또는 kB이다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pl" >Stała Boltzmanna – stała fizyczna pojawiająca się w równaniach określających rozkłady energii cząsteczek. Oznaczana jest symbolem lub i związana jest równaniem: ze stałą gazową i liczbą Avogadra Po redefinicji jednostek SI, od 20 maja 2019 jej wartość wyrażona w dżulach (J) na kelwin (K) wynosi dokładnie: W innych popularnych jednostkach stała Boltzmanna wynosi gdzie jest stałą Plancka. Wartości te określone są dokładnie, jednak nie można ich wyrazić ułamkiem dziesiętnym o skończonym rozwinięciu. W ramach fizyki klasycznej (tj. bez uwzględnienia efektów kwantowych) stała Boltzmanna jest czynnikiem proporcjonalności między średnią energią kinetyczną przypadającą na pojedynczą cząsteczkę o stopniach swobody a temperaturą bezwzględną Nazwa stałej upamiętnia austriackiego fizyka Ludwiga E. Boltzmanna, który wprowadził ją w XIX wieku w ramach badań nad kinetyczną teorią gazów.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="nl" >De boltzmannconstante of constante van Boltzmann, weergegeven door of , is een natuurkundige constante die zowel het verband aangeeft tussen temperatuur en energie als tussen entropie en waarschijnlijkheid. De constante is naar de Oostenrijkse fysicus Ludwig Boltzmann genoemd, die omstreeks 1900 een belangrijke bijdrage leverde aan de statistische thermodynamica waarin deze constante een belangrijke rol speelt. De waarde werd later door Max Planck vastgesteld; hij kwam uit op 1,346·10−23 J K−1, ongeveer 2,5% lager dan de huidige waarde: Hierbij is J (joule) de eenheid voor energie en K (kelvin) de eenheid voor temperatuur. De constante van Boltzmann wordt gebruikt in de snelheidsverdelingswet van Maxwell-Boltzmann. Die geeft de verdeling van de snelheden van de moleculen in een gas weer. De algemene gasconstante is de boltzmannconstante vermenigvuldigd met de constante van Avogadro . Er kan dan in mol gerekend worden in plaats van in aantallen deeltjes, wat bruikbaarder is in de praktijk. De waarde is . In een thermodynamisch systeem in evenwicht bij de absolute temperatuur volgt uit het equipartitiebeginsel dat de thermische energie gemiddeld gelijk is aan per vrijheidsgraad. Voor een beweging in één dimensie is de thermische energie per deeltje . De gemiddelde thermische energie van een deeltje van een ideaal gas, dat in drie dimensies beweegt zonder interne vrijheidsgraden, is . De energie bij 300 K, of 27 °C, is 4,14·10−21 J, of 25,9 meV. Het verband tussen entropie (een macroscopische grootheid) en het aantal mogelijke microtoestanden behorende bij een gegeven macrotoestand is:</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ja" >ボルツマン定数(ボルツマンていすう、英: Boltzmann constant)は、統計力学において、状態数とエントロピーを関係付ける物理定数である。統計力学の分野において重要な貢献をしたオーストリアの物理学者ルートヴィッヒ・ボルツマンにちなんで名付けられた。通常は記号 k が用いられる。特にBoltzmannの頭文字を添えて kB で表されることもある。 ボルツマンの原理において、エントロピーは定まったエネルギー(及び物質量や体積などの状態量)の下で取りうる状態の数 W の対数に比例する。これを と書いたときの比例係数 k がボルツマン定数である。従って、ボルツマン定数はエントロピーの次元を持ち、熱力学温度をエネルギーに関係付ける定数として位置付けられる。ボルツマン定数は2019年5月に定義定数となり、正確に 1.380649×10−23 J K−1 である。 ボルツマン定数はマックス・プランクによって1900年にプランク定数と一緒に導入された。ボルツマン自身はこの定数を用いたことはない。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="it" >In meccanica statistica la costante di Boltzmann, (anche indicata con κ) è una costante dimensionale che stabilisce la corrispondenza tra grandezze della meccanica statistica e grandezze della termodinamica, per esempio tra temperatura ed energia termica o tra probabilità di uno stato ed entropia. Per ragioni storiche, ad esempio anche la temperatura assoluta è stata definita operativamente, e anche nel Sistema Internazionale è tradizionalmente misurata con unità proprie (come il kelvin, e il rankine) sulla base di proprietà notevoli di alcuni materiali (nel caso del kelvin il punto triplo dell'acqua). La meccanica statistica sin dal lavoro pionieristico di Boltzmann ha però dimostrato che la temperatura è una forma di energia termica, ed è legata all'agitazione termica delle molecole di cui il materiale è composto.</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="pt" >A constante de Boltzmann ( ou ) é a constante física que relaciona temperatura e energia de moléculas. Tem o nome do físico austríaco Ludwig Boltzmann, que fez importantes contribuições para a física e para a mecânica estatística, na qual a sua constante tem um papel fundamental. A 26ª Conferência Geral de Pesos e Medidas fixou o valor exato da constante de Boltzmann:</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="sv" >Boltzmanns konstant, efter Ludwig Boltzmann, är en naturkonstant som relaterar temperatur för en mängd partiklar (molekyler) till energi på partikelnivå. Konstanten betecknas med kB eller bara k och motsvarar den allmänna gaskonstanten R dividerad med Avogadros tal NA: Konstanten har samma enhet som entropi. Dess värde definierades av CGPM i den senaste versionen av Internationella måttenhetssystemet (SI) som trädde i kraft den 20 maj 2019, och används sedan dess för att definiera magnituden på enheten kelvin. . Den termiska energin vid rumstemperatur är alltså ungefär</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="ru" >Постоя́нная Бо́льцмана ( или ) — физическая постоянная, определяющая связь между температурой и энергией. Названа в честь австрийского физика Людвига Больцмана, сделавшего большой вклад в статистическую физику, в которой эта постоянная играет ключевую роль. Её значение в Международной системе единиц СИ согласно изменениям определений основных единиц СИ точно равно k = 1,380 649 · 10−23 Дж/К. В системе единиц Планка постоянная Больцмана выбрана в качестве одной из основных единиц системы. Универсальная газовая постоянная определяется как произведение постоянной Больцмана на число Авогадро, . Газовая постоянная более удобна, когда число частиц задано в молях.</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="uk" >Ста́ла Бо́льцмана ( або ) — фізична стала, що визначає зв'язок між температурою та енергією. Названа на честь австрійського фізика Людвіга Больцмана, який зробив великий внесок у статистичну фізику, у якій ця стала є ключовою. Її значення в системі SI дорівнює 1.380649×10−23Дж⋅K−1. Універсальна газова стала означається як добуток сталої Больцмана на число Авогадро, . Газова стала зручніша, коли число частинок задано в молях.</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="dbo:abstract" lang="zh" >波茲曼常數(英語:Boltzmann constant)是有關於溫度及能量的一個物理常數,常用 或 表示,以纪念奧地利物理學家路德維希·波茲曼在統計力學领域做出的重大貢獻。數值及單位為:(SI制,2014 CODATA 值) J/K 括號內為誤差值,原則上玻尔兹曼常數為導出的物理常數,其值由其他物理常數及絕對溫度單位的定義所決定。 氣體常數 是波茲曼常數 乘上阿伏伽德罗常數 : 當使用摩爾數計算粒子數時,較常使用氣體常數。 国际计量委员会建议采用玻尔兹曼常数来定义热力学温度单位开尔文(K)。 新的玻尔兹曼常数已被ISO设定为。</span><small> (zh)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/ontology/thumbnail"><small>dbo:</small>thumbnail</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="dbo:thumbnail" resource="http://commons.wikimedia.org/wiki/Special:FilePath/Boltzmann2.jpg?width=300" href="http://commons.wikimedia.org/wiki/Special:FilePath/Boltzmann2.jpg?width=300"><small>wiki-commons</small>:Special:FilePath/Boltzmann2.jpg?width=300</a></span></li> 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lang="en" >The proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas</span><small> (en)</small></span></li> <li><span class="literal"><span property="dbp:data" lang="en" >kB</span><small> (en)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/label"><small>dbp:</small>label</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="dbp:label" lang="en" >Definition:</span><small> (en)</small></span></li> <li><span class="literal"><span property="dbp:label" lang="en" >Symbol:</span><small> (en)</small></span></li> <li><span class="literal"><span property="dbp:label" lang="en" >Value in joules per kelvin:</span><small> (en)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://dbpedia.org/property/wikiPageUsesTemplate"><small>dbp:</small>wikiPageUsesTemplate</a> 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يعطي العلاقة بين طاقة الجزيء أو الذرة في الحالة الغازية ودرجة الحرارة. فهو يعطي متوسط طاقة الحركة لكل جزيء أو ذرة في الغاز بمجرد معرفة درجة الحرارة المطلقة للغاز. وهو عبارة عن حاصل قسمة ثابت الغازاتR على عدد أفوجادرو NA: * R ثابت الغازات = 8.314 (جول/كلفن/مول) * NA = 6,022 ×1023 لثابت بولتزمان نفس وحدات الإنتروبية. وهو ثابت يسمى باسم عالم الفيزياء النمساوي لودفيغ بولتزمان.</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="cs" >Boltzmannova konstanta vyjadřuje vztah mezi termodynamickou teplotou a vnitřní energií plynu. Je číselně rovna dvěma třetinám tepelné kapacity jednoatomového ideálního plynu (např. vzácného) při stálém objemu vztažené na jednu molekulu. Boltzmannova konstanta také úzce souvisí s entropií, je její přirozenou jednotkou. Byla pojmenována po rakouském fyzikovi Ludwigu Boltzmannovi, který se významně podílel na rozvoji statistické fyziky, kde tato konstanta hraje klíčovou roli.</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="de" >Die Boltzmann-Konstante (Formelzeichen oder ) ist eine physikalische Konstante, die in der statistischen Mechanik eine zentrale Rolle spielt. Sie wurde von Max Planck eingeführt und nach dem österreichischen Physiker Ludwig Boltzmann benannt, einem der Begründer der statistischen Mechanik. Sie gilt als eine der fundamentalen Konstanten der Physik. Man kann sie aber auch als Skalierungsfaktor ansehen, der Energie- und Temperaturskala miteinander verknüpft.</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="eo" >Konstanto de Boltzmann k (aŭ kB) estas fizika konstanto, kiu estas en ekvacioj pri distribuo de energio de molekuloj. Ĝia rekomendata valoro de en 2010 estas: , kie: Ro estas universala gaskonstanto, NA - nombro (aŭ konstanto) de Avogadro. Konstanto estas proporcia al mediano de energio de unu molekulo, rilatante al temperaturo T esprimata en kelvinoj.</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="es" >La constante de Boltzmann (k o kB) es la constante física que relaciona temperatura absoluta y energía. Se llama así en honor del físico austriaco Ludwig Boltzmann, quien hizo importantes contribuciones a la teoría de la mecánica estadística, en cuyas ecuaciones fundamentales esta constante desempeña un papel central. Su valor es un número fijo sin incertidumbre (26th CGPM de noviembre de 2018, en vigor desde el 20 de mayo de 2019):</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="eu" >Boltzmannen konstantea (k edo kB) eta energia lotzen dituen da. Bere izena Ludwig Boltzmann fisikari austriarragatik jasotzen du, nork ekarpen garrantzitsuak egin zituen mekanika estatistikoaren barnean, non konstante honek funtsezko paper bat betetzen duen. Bere balioa Nazioarteko Unitate Sisteman honakoa da:</span><small> (eu)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ga" >Tairiseach leis an tsiombail k in aonaid J K-1 (giúl in aghaidh an cheilvin), le luach 1.381 × 10-23 J K-1. Sainmhínítear é mar R/NA, mar arb é R tairiseach mólarach na ngás is NA tairiseach Avogadro. Tagann sé i gceist i staidéar ar airíonna staitistiúla na ngás, agus ainmníodh as Ludwig Boltzmann é.</span><small> (ga)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="in" >Konstanta Boltzmann (k atau kB) adalah konstanta fisika yang menghubungkan energi pada tingkatan partikel dengan temperatur teramati pada tingkatan . Konstanta ini merupakan konstanta gas yang dibagi dengan konstanta Avogadro: Konstanta ini memiliki satuan yang sama dengan entropi, dinamakan sesuai dengan nama fisikawan Austria, Ludwig Boltzmann. Dia mempunyai kontribusi penting dalam bidang teori mekanika statistik, di mana konstanta ini mempunyai peranan penting. * l * * s</span><small> (in)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ko" >볼츠만 상수(Boltzmann常數, 영어: Boltzmann constant)는 입자 수준에서의 에너지와 거시 수준에서 관측된 온도를 연관시켜주는 물리 상수이며, 기체 상수와 아보가드로 수의 비이다. 기호는 k 또는 kB이다.</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ja" >ボルツマン定数(ボルツマンていすう、英: Boltzmann constant)は、統計力学において、状態数とエントロピーを関係付ける物理定数である。統計力学の分野において重要な貢献をしたオーストリアの物理学者ルートヴィッヒ・ボルツマンにちなんで名付けられた。通常は記号 k が用いられる。特にBoltzmannの頭文字を添えて kB で表されることもある。 ボルツマンの原理において、エントロピーは定まったエネルギー(及び物質量や体積などの状態量)の下で取りうる状態の数 W の対数に比例する。これを と書いたときの比例係数 k がボルツマン定数である。従って、ボルツマン定数はエントロピーの次元を持ち、熱力学温度をエネルギーに関係付ける定数として位置付けられる。ボルツマン定数は2019年5月に定義定数となり、正確に 1.380649×10−23 J K−1 である。 ボルツマン定数はマックス・プランクによって1900年にプランク定数と一緒に導入された。ボルツマン自身はこの定数を用いたことはない。</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pt" >A constante de Boltzmann ( ou ) é a constante física que relaciona temperatura e energia de moléculas. Tem o nome do físico austríaco Ludwig Boltzmann, que fez importantes contribuições para a física e para a mecânica estatística, na qual a sua constante tem um papel fundamental. A 26ª Conferência Geral de Pesos e Medidas fixou o valor exato da constante de Boltzmann:</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="sv" >Boltzmanns konstant, efter Ludwig Boltzmann, är en naturkonstant som relaterar temperatur för en mängd partiklar (molekyler) till energi på partikelnivå. Konstanten betecknas med kB eller bara k och motsvarar den allmänna gaskonstanten R dividerad med Avogadros tal NA: Konstanten har samma enhet som entropi. Dess värde definierades av CGPM i den senaste versionen av Internationella måttenhetssystemet (SI) som trädde i kraft den 20 maj 2019, och används sedan dess för att definiera magnituden på enheten kelvin. . Den termiska energin vid rumstemperatur är alltså ungefär</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="uk" >Ста́ла Бо́льцмана ( або ) — фізична стала, що визначає зв'язок між температурою та енергією. Названа на честь австрійського фізика Людвіга Больцмана, який зробив великий внесок у статистичну фізику, у якій ця стала є ключовою. Її значення в системі SI дорівнює 1.380649×10−23Дж⋅K−1. Універсальна газова стала означається як добуток сталої Больцмана на число Авогадро, . Газова стала зручніша, коли число частинок задано в молях.</span><small> (uk)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="zh" >波茲曼常數(英語:Boltzmann constant)是有關於溫度及能量的一個物理常數,常用 或 表示,以纪念奧地利物理學家路德維希·波茲曼在統計力學领域做出的重大貢獻。數值及單位為:(SI制,2014 CODATA 值) J/K 括號內為誤差值,原則上玻尔兹曼常數為導出的物理常數,其值由其他物理常數及絕對溫度單位的定義所決定。 氣體常數 是波茲曼常數 乘上阿伏伽德罗常數 : 當使用摩爾數計算粒子數時,較常使用氣體常數。 国际计量委员会建议采用玻尔兹曼常数来定义热力学温度单位开尔文(K)。 新的玻尔兹曼常数已被ISO设定为。</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ca" >La constant de Boltzmann (k o kB) és la constant física que relaciona la temperatura i l'energia. S'anomena així pel físic austríac Ludwig Boltzmann, que va fer contribucions importants a la teoria de la mecànica estadística, en la qual kB té un paper crucial. El seu valor experimentalment determinat és (en unitats del SI): i en altres unitats: kB = 8,6173324(78) × 10–5 eV·K-1 kB = 1,3806488(13) × 10–16 erg·K-1 Les xifres entre parèntesis són la incertesa (desviació estàndard) en els darrers dos dígits del valor mesurat.</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="el" >Η σταθερά του Μπόλτσμαν (Boltzmann constant), συμβολιζόμενη ως k ή και kB, είναι μία φυσική σταθερά, η οποία συσχετίζει τη μέση κινητική ενέργεια των σωματιδίων ενός αερίου με τη θερμοκρασία του αερίου. Απαντάται στον για την ακτινοβολία μέλανος σώματος και στη σχέση της εντροπίας του Μπόλτσμαν. Η σταθερά αυτή εισάχθηκε πρώτα από τον Μαξ Πλανκ, αλλά φέρει το όνομα του Λούντβιχ Μπόλτσμαν. Προκύπτει από τη διαίρεση της παγκόσμιας σταθεράς των αερίων R δια του αριθμού του Αβογκάντρο NA:</span><small> (el)</small></span></li> <li><span class="literal"><span property="rdfs:comment" lang="en" >The Boltzmann constant (kB or k) is the proportionality factor that relates the average relative kinetic energy of particles in a gas with the thermodynamic temperature of the gas. It occurs in the definitions of the kelvin and the gas constant, and in Planck's law of black-body radiation and Boltzmann's entropy formula, and is used in calculating thermal noise in resistors. The Boltzmann constant has dimensions of energy divided by temperature, the same as entropy. It is named after the Austrian scientist Ludwig Boltzmann.</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="fr" >La constante de Boltzmann k (ou kB) a été introduite par Ludwig Boltzmann dans sa définition de l'entropie de 1877. Le système étant à l'équilibre macroscopique, mais libre d'évoluer à l'échelle microscopique entre micro-états différents, son entropie S est donnée par : où la constante kB retenue par le CODATA vaut (valeur exacte). La constante des gaz parfaits est liée à la constante de Boltzmann par la relation : (avec (valeur exacte) le nombre d'Avogadro, nombre de particules dans une mole). D'où :.</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="it" >In meccanica statistica la costante di Boltzmann, (anche indicata con κ) è una costante dimensionale che stabilisce la corrispondenza tra grandezze della meccanica statistica e grandezze della termodinamica, per esempio tra temperatura ed energia termica o tra probabilità di uno stato ed entropia. Per ragioni storiche, ad esempio anche la temperatura assoluta è stata definita operativamente, e anche nel Sistema Internazionale è tradizionalmente misurata con unità proprie (come il kelvin, e il rankine) sulla base di proprietà notevoli di alcuni materiali (nel caso del kelvin il punto triplo dell'acqua). La meccanica statistica sin dal lavoro pionieristico di Boltzmann ha però dimostrato che la temperatura è una forma di energia termica, ed è legata all'agitazione termica delle molecole </span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="pl" >Stała Boltzmanna – stała fizyczna pojawiająca się w równaniach określających rozkłady energii cząsteczek. Oznaczana jest symbolem lub i związana jest równaniem: ze stałą gazową i liczbą Avogadra Po redefinicji jednostek SI, od 20 maja 2019 jej wartość wyrażona w dżulach (J) na kelwin (K) wynosi dokładnie: W innych popularnych jednostkach stała Boltzmanna wynosi gdzie jest stałą Plancka. Wartości te określone są dokładnie, jednak nie można ich wyrazić ułamkiem dziesiętnym o skończonym rozwinięciu.</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="nl" >De boltzmannconstante of constante van Boltzmann, weergegeven door of , is een natuurkundige constante die zowel het verband aangeeft tussen temperatuur en energie als tussen entropie en waarschijnlijkheid. De constante is naar de Oostenrijkse fysicus Ludwig Boltzmann genoemd, die omstreeks 1900 een belangrijke bijdrage leverde aan de statistische thermodynamica waarin deze constante een belangrijke rol speelt. De waarde werd later door Max Planck vastgesteld; hij kwam uit op 1,346·10−23 J K−1, ongeveer 2,5% lager dan de huidige waarde: .</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:comment" lang="ru" >Постоя́нная Бо́льцмана ( или ) — физическая постоянная, определяющая связь между температурой и энергией. Названа в честь австрийского физика Людвига Больцмана, сделавшего большой вклад в статистическую физику, в которой эта постоянная играет ключевую роль. Её значение в Международной системе единиц СИ согласно изменениям определений основных единиц СИ точно равно k = 1,380 649 · 10−23 Дж/К. В системе единиц Планка постоянная Больцмана выбрана в качестве одной из основных единиц системы.</span><small> (ru)</small></span></li> </ul></td></tr><tr class="odd"><td class="col-2"><a class="uri" href="http://www.w3.org/2000/01/rdf-schema#label"><small>rdfs:</small>label</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><span property="rdfs:label" lang="en" >Boltzmann constant</span><small> (en)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ar" >ثابت بولتزمان</span><small> (ar)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ca" >Constant de Boltzmann</span><small> (ca)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="cs" >Boltzmannova konstanta</span><small> (cs)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="de" >Boltzmann-Konstante</span><small> (de)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="el" >Σταθερά του Μπόλτσμαν</span><small> (el)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="eo" >Konstanto de Boltzmann</span><small> (eo)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="es" >Constante de Boltzmann</span><small> (es)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="eu" >Boltzmannen konstantea</span><small> (eu)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ga" >Tairiseach Boltzmann</span><small> (ga)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="in" >Konstanta Boltzmann</span><small> (in)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="fr" >Constante de Boltzmann</span><small> (fr)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="it" >Costante di Boltzmann</span><small> (it)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ko" >볼츠만 상수</span><small> (ko)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="nl" >Boltzmannconstante</span><small> (nl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ja" >ボルツマン定数</span><small> (ja)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pl" >Stała Boltzmanna</span><small> (pl)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="pt" >Constante de Boltzmann</span><small> (pt)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="ru" >Постоянная Больцмана</span><small> (ru)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="sv" >Boltzmanns konstant</span><small> (sv)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="zh" >波茲曼常數</span><small> (zh)</small></span></li> <li style="display:none;"><span class="literal"><span property="rdfs:label" lang="uk" >Стала Больцмана</span><small> (uk)</small></span></li> </ul></td></tr><tr class="even"><td class="col-2"><a class="uri" href="http://www.w3.org/2002/07/owl#differentFrom"><small>owl:</small>differentFrom</a> </td><td class="col-10 text-break"><ul> <li><span class="literal"><a class="uri" rel="owl:differentFrom" resource="http://dbpedia.org/resource/Stefan–Boltzmann_constant" href="http://dbpedia.org/resource/Stefan–Boltzmann_constant"><small>dbr</small>:Stefan–Boltzmann_constant</a></span></li> </ul></td></tr><tr 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