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Meniscus (liquid) - Wikipedia
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vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#References"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>References</span> </div> </a> <ul id="toc-References-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-External_links" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#External_links"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>External links</span> </div> </a> <ul id="toc-External_links-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Contents" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" 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Available in 32 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-32" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">32 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B3%D8%B7%D8%AD_%D9%87%D9%84%D8%A7%D9%84%D9%8A" title="سطح هلالي – Arabic" lang="ar" hreflang="ar" data-title="سطح هلالي" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%AE%E0%A7%87%E0%A6%A8%E0%A6%BF%E0%A6%B8%E0%A7%8D%E2%80%8C%E0%A6%95%E0%A6%BE%E0%A6%B8" title="মেনিস্কাস – Bangla" lang="bn" hreflang="bn" data-title="মেনিস্কাস" data-language-autonym="বাংলা" data-language-local-name="Bangla" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%B5%D0%BD%D1%96%D1%81%D0%BA_(%D1%84%D1%96%D0%B7%D1%96%D0%BA%D0%B0)" title="Меніск (фізіка) – Belarusian" lang="be" hreflang="be" data-title="Меніск (фізіка)" data-language-autonym="Беларуская" data-language-local-name="Belarusian" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%B5%D0%BD%D0%B8%D1%81%D0%BA%D1%83%D1%81_(%D1%84%D0%B8%D0%B7%D0%B8%D0%BA%D0%B0)" title="Менискус (физика) – Bulgarian" lang="bg" hreflang="bg" data-title="Менискус (физика)" data-language-autonym="Български" data-language-local-name="Bulgarian" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Meniskus_(hidrostatika)" title="Meniskus (hidrostatika) – Bosnian" lang="bs" hreflang="bs" data-title="Meniskus (hidrostatika)" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Menisc_(f%C3%ADsica)" title="Menisc (física) – Catalan" lang="ca" hreflang="ca" data-title="Menisc (física)" 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/Menisk_(fysik)" title="Menisk (fysik) – Danish" lang="da" hreflang="da" data-title="Menisk (fysik)" 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/Meniskus_(Hydrostatik)" title="Meniskus (Hydrostatik) – German" lang="de" hreflang="de" data-title="Meniskus (Hydrostatik)" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Menisco_(f%C3%ADsica)" title="Menisco (física) – Spanish" lang="es" hreflang="es" data-title="Menisco (física)" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%AE%D9%85%D9%88%D8%AF%DA%AF%DB%8C_%D8%B3%D8%B7%D8%AD_%D9%85%D8%A7%DB%8C%D8%B9" title="خمودگی سطح مایع – Persian" lang="fa" hreflang="fa" data-title="خمودگی سطح مایع" 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/M%C3%A9nisque_(physique)" title="Ménisque (physique) – French" lang="fr" hreflang="fr" data-title="Ménisque (physique)" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Menisco_(l%C3%ADquidos)" title="Menisco (líquidos) – Galician" lang="gl" hreflang="gl" data-title="Menisco (líquidos)" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A9%94%EB%8B%88%EC%8A%A4%EC%BB%A4%EC%8A%A4" title="메니스커스 – Korean" lang="ko" hreflang="ko" data-title="메니스커스" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%84%D5%A5%D5%B6%D5%AB%D5%BD%D5%AF" title="Մենիսկ – Armenian" lang="hy" hreflang="hy" data-title="Մենիսկ" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Menisko" title="Menisko – Ido" lang="io" hreflang="io" data-title="Menisko" data-language-autonym="Ido" data-language-local-name="Ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Menisco_(fisica)" title="Menisco (fisica) – Italian" lang="it" hreflang="it" data-title="Menisco (fisica)" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ky mw-list-item"><a href="https://ky.wikipedia.org/wiki/%D0%9C%D0%B5%D0%BD%D0%B8%D1%81%D0%BA" title="Мениск – Kyrgyz" lang="ky" hreflang="ky" data-title="Мениск" data-language-autonym="Кыргызча" data-language-local-name="Kyrgyz" class="interlanguage-link-target"><span>Кыргызча</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Menisks_(hidrostatika)" title="Menisks (hidrostatika) – Latvian" lang="lv" hreflang="lv" data-title="Menisks (hidrostatika)" data-language-autonym="Latviešu" data-language-local-name="Latvian" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Meniszkusz_(fizika)" title="Meniszkusz (fizika) – Hungarian" lang="hu" hreflang="hu" data-title="Meniszkusz (fizika)" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Meniscus_(fysica)" title="Meniscus (fysica) – Dutch" lang="nl" hreflang="nl" data-title="Meniscus (fysica)" 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/%E3%83%A1%E3%83%8B%E3%82%B9%E3%82%AB%E3%82%B9" title="メニスカス – Japanese" lang="ja" hreflang="ja" data-title="メニスカス" 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-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Menisk_i_fysikk" title="Menisk i fysikk – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Menisk i fysikk" 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/Menisk" title="Menisk – Polish" lang="pl" hreflang="pl" data-title="Menisk" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Menisco_(l%C3%ADquido)" title="Menisco (líquido) – Portuguese" lang="pt" hreflang="pt" data-title="Menisco (líquido)" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Menisc_(lichid)" title="Menisc (lichid) – Romanian" lang="ro" hreflang="ro" data-title="Menisc (lichid)" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%B5%D0%BD%D0%B8%D1%81%D0%BA_(%D0%B3%D0%B8%D0%B4%D1%80%D0%BE%D1%81%D1%82%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Мениск (гидростатика) – Russian" lang="ru" hreflang="ru" data-title="Мениск (гидростатика)" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Meniscus_(liquid)" title="Meniscus (liquid) – Simple English" lang="en-simple" hreflang="en-simple" data-title="Meniscus (liquid)" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Meniskus" title="Meniskus – Slovenian" lang="sl" hreflang="sl" data-title="Meniskus" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Menisk_(fysik)" title="Menisk (fysik) – Swedish" lang="sv" hreflang="sv" data-title="Menisk (fysik)" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%AE%E0%B1%86%E0%B0%A8%E0%B0%BF%E0%B0%B8%E0%B1%8D%E0%B0%95%E0%B0%B8%E0%B1%8D" title="మెనిస్కస్ – Telugu" lang="te" hreflang="te" data-title="మెనిస్కస్" data-language-autonym="తెలుగు" data-language-local-name="Telugu" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B5%D0%BD%D1%96%D1%81%D0%BA_(%D1%84%D1%96%D0%B7%D0%B8%D0%BA%D0%B0)" title="Меніск (фізика) – Ukrainian" lang="uk" hreflang="uk" data-title="Меніск (фізика)" 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/%E5%BD%8E%E6%B6%B2%E9%9D%A2" title="彎液面 – Chinese" lang="zh" hreflang="zh" data-title="彎液面" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q898732#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Meniscus_(liquid)" title="View the content page [c]" accesskey="c"><span>Article</span></a></li><li id="ca-talk" class="vector-tab-noicon mw-list-item"><a href="/wiki/Talk:Meniscus_(liquid)" rel="discussion" title="Discuss improvements to 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id="siteSub" class="noprint">From Wikipedia, the free encyclopedia</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="en" dir="ltr"><div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none">Curve in a liquid's surface due to adhesion to the container walls</div> <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">For other uses, see <a href="/wiki/Meniscus_(disambiguation)" class="mw-redirect mw-disambig" title="Meniscus (disambiguation)">Meniscus (disambiguation)</a>.</div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Reading_the_meniscus.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Reading_the_meniscus.svg/260px-Reading_the_meniscus.svg.png" decoding="async" width="260" height="136" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Reading_the_meniscus.svg/390px-Reading_the_meniscus.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/c/cf/Reading_the_meniscus.svg/520px-Reading_the_meniscus.svg.png 2x" data-file-width="355" data-file-height="186" /></a><figcaption><b>A:</b> The <i>bottom</i> of a concave <b>meniscus</b>.<br /><b>B:</b> The <i>top</i> of a convex <b>meniscus</b>.</figcaption></figure> <p>In <a href="/wiki/Physics" title="Physics">physics</a> (particularly <a href="/wiki/Fluid_statics" class="mw-redirect" title="Fluid statics">fluid statics</a>), the <b>meniscus</b> (<abbr title="plural form">pl.</abbr>: <b>menisci</b>, from <a href="/wiki/Greek_language" title="Greek language">Greek</a> 'crescent') is the curve in the upper surface of a <a href="/wiki/Liquid" title="Liquid">liquid</a> close to the surface of the container or another object, produced by <a href="/wiki/Surface_tension" title="Surface tension">surface tension</a>. </p><p>A concave meniscus occurs when the attraction between the particles of the liquid and the container (<a href="/wiki/Adhesion" title="Adhesion">adhesion</a>) is more than half the attraction of the particles of the liquid to each other (<a href="/wiki/Cohesion_(chemistry)" title="Cohesion (chemistry)">cohesion</a>), causing the liquid to climb the walls of the container (see <a href="/wiki/Surface_tension#Causes" title="Surface tension">Surface tension § Causes</a>). This occurs between water and glass. Water-based fluids like sap, honey, and milk also have a concave meniscus in glass or other <a href="/wiki/Wetting" title="Wetting">wettable</a> containers. </p><p>Conversely, a convex meniscus occurs when the adhesion energy is less than half the cohesion energy. Convex menisci occur, for example, between <a href="/wiki/Mercury_(element)" title="Mercury (element)">mercury</a> and <a href="/wiki/Glass" title="Glass">glass</a> in <a href="/wiki/Barometer" title="Barometer">barometers</a><sup id="cite_ref-moore290_1-0" class="reference"><a href="#cite_note-moore290-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> and <a href="/wiki/Thermometer" title="Thermometer">thermometers</a>. </p><p>In general, the shape of the surface of a liquid can be complex. For a sufficiently narrow tube with circular cross-section, the shape of the meniscus will approximate a section of a <a href="/wiki/Spherical_surface" class="mw-redirect" title="Spherical surface">spherical surface</a>, while for a large container, most of the upper surface of the liquid will be almost flat, only curving up (if concave) or down (if convex) near the edges. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Contact_angle_and_surface_tension">Contact angle and surface tension</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Meniscus_(liquid)&action=edit&section=1" title="Edit section: Contact angle and surface tension"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/File:Dynamic_contact_angle_Attension_Sigma.png" class="mw-file-description"><img alt="Menisci on a thin fiber." src="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Dynamic_contact_angle_Attension_Sigma.png/220px-Dynamic_contact_angle_Attension_Sigma.png" decoding="async" width="220" height="116" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Dynamic_contact_angle_Attension_Sigma.png/330px-Dynamic_contact_angle_Attension_Sigma.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/7/7a/Dynamic_contact_angle_Attension_Sigma.png/440px-Dynamic_contact_angle_Attension_Sigma.png 2x" data-file-width="958" data-file-height="505" /></a><figcaption>Menisci on a thin fiber</figcaption></figure> <p>The formation of menisci is commonly used in surface science to measure <a href="/wiki/Contact_angle" title="Contact angle">contact angles</a> and <a href="/wiki/Surface_tension" title="Surface tension">surface tension</a>. In a contact angle measurement, the shape of the menisci is measured with a balance or optically with a digital camera. In a surface tension measurement, the measurement probe has a contact angle of zero and the surface tension can be obtained by measuring the mass of the menisci. This is typically done with a <a href="/wiki/Wilhelmy_plate" title="Wilhelmy plate">Wilhelmy plate</a>.<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 class="mw-heading mw-heading2"><h2 id="Measurement_of_volumes">Measurement of volumes</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Meniscus_(liquid)&action=edit&section=2" title="Edit section: Measurement of volumes"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <figure class="mw-default-size mw-halign-left" typeof="mw:File/Thumb"><a href="/wiki/File:Meniscus.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Meniscus.jpg/150px-Meniscus.jpg" decoding="async" width="150" height="211" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Meniscus.jpg/225px-Meniscus.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/4e/Meniscus.jpg/300px-Meniscus.jpg 2x" data-file-width="1844" data-file-height="2588" /></a><figcaption>A <b>meniscus</b> as seen in a <a href="/wiki/Burette" title="Burette">burette</a> of colored water. '20.00 mL' is the correct depth measurement.</figcaption></figure> <p>When reading a depth scale on the side of an instrument filled with liquid, such as a <a href="/wiki/Water_level_device" class="mw-redirect" title="Water level device">water level device</a>, the meniscus must be taken into account in order to obtain an accurate measurement. Depth must be measured with the meniscus at eye level (to eliminate <a href="/wiki/Parallax_error" class="mw-redirect" title="Parallax error">parallax error</a>) and at the center of the meniscus, i.e. the top of a convex meniscus or the bottom of a concave meniscus. </p><p>Manufacturers of glassware and other tools calibrate their measurement marks to account for the meniscus. This means that any instrument is calibrated for a specific liquid, usually water. </p> <div class="mw-heading mw-heading2"><h2 id="Capillary_action">Capillary action</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Meniscus_(liquid)&action=edit&section=3" title="Edit section: Capillary action"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Menisci are a manifestation of <a href="/wiki/Capillary_action" title="Capillary action">capillary action</a>, by which either surface adhesion pulls a liquid up to form a concave meniscus, or internal cohesion pulls the liquid down to form a convex meniscus. This phenomenon is important in <a href="/wiki/Transpirational_pull" class="mw-redirect" title="Transpirational pull">transpirational pull</a> in plants. When a tube of a narrow bore, often called a capillary tube, is dipped into a liquid and the liquid <a href="/wiki/Wetting" title="Wetting">wets</a> the tube (with zero contact angle), the liquid surface inside the tube forms a concave meniscus, which is a virtually spherical surface having the same radius, <i>r</i>, as the inside of the tube. The tube experiences a downward force of magnitude 2πrσ, where σ is the surface tension of the liquid.<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> </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Meniscus_(liquid)&action=edit&section=4" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Capillary_pressure" title="Capillary pressure">Capillary pressure</a> – Pressure between two fluids from forces between the fluids and tube walls</li> <li><a href="/wiki/Capillary_surface" title="Capillary surface">Capillary surface</a> – Surface representing the interface between two different fluids</li> <li><a href="/wiki/Du_No%C3%BCy_ring_method" title="Du Noüy ring method">Du Noüy ring method</a> – Method of measuring a liquid's surface tension</li> <li><a href="/wiki/Sessile_drop_technique" title="Sessile drop technique">Sessile drop technique</a> – Method of determining the surface energy of a solid</li> <li><a href="/wiki/Tensiometer_(surface_tension)" title="Tensiometer (surface tension)">Tensiometer (surface tension)</a> – Instrument which measures surface tension</li> <li><a href="/wiki/Young%E2%80%93Laplace_equation" title="Young–Laplace equation">Young–Laplace equation</a> – Describing pressure difference over an interface in fluid mechanics</li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Meniscus_(liquid)&action=edit&section=5" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <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-moore290-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-moore290_1-0">^</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 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.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="CITEREFMooreStanitskiJurs2005" class="citation book cs1">Moore, John W.; Stanitski, Conrad L.; Jurs, Peter C. (2005). <span class="id-lock-registration" title="Free registration required"><a rel="nofollow" class="external text" href="https://archive.org/details/chemistrymolecul0000moor"><i>Chemistry: The Molecular Science</i></a></span>. Belmont, CA: Brooks/Cole. p. <a rel="nofollow" class="external text" href="https://archive.org/details/chemistrymolecul0000moor/page/290">290</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=Chemistry%3A+The+Molecular+Science&rft.place=Belmont%2C+CA&rft.pages=290&rft.pub=Brooks%2FCole&rft.date=2005&rft.aulast=Moore&rft.aufirst=John+W.&rft.au=Stanitski%2C+Conrad+L.&rft.au=Jurs%2C+Peter+C.&rft_id=https%3A%2F%2Farchive.org%2Fdetails%2Fchemistrymolecul0000moor&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMeniscus+%28liquid%29" 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 class="citation web cs1"><a rel="nofollow" class="external text" href="http://content.biolinscientific.com/surface-and-interfacial-tension">"Surface and interfacial tension | White Paper"</a>. <i>Biolin Scientific</i>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Biolin+Scientific&rft.atitle=Surface+and+interfacial+tension+%7C+White+Paper&rft_id=http%3A%2F%2Fcontent.biolinscientific.com%2Fsurface-and-interfacial-tension&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMeniscus+%28liquid%29" 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"><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.britannica.com/EBchecked/topic/211272/fluid-mechanics/77482/Surface-tension-of-liquids">"Fluid Mechanics"</a>. <i>Encyclopædia Britannica</i><span class="reference-accessdate">. Retrieved <span class="nowrap">14 November</span> 2014</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Encyclop%C3%A6dia+Britannica&rft.atitle=Fluid+Mechanics&rft_id=http%3A%2F%2Fwww.britannica.com%2FEBchecked%2Ftopic%2F211272%2Ffluid-mechanics%2F77482%2FSurface-tension-of-liquids&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMeniscus+%28liquid%29" class="Z3988"></span></span> </li> </ol></div></div> <p class="mw-empty-elt"> </p> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Meniscus_(liquid)&action=edit&section=6" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://www.biolinscientific.com/measurements/surface-tension">Using menisci to measure surface tension</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 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