{"id":3927,"date":"2026-10-14T09:03:23","date_gmt":"2026-10-14T08:03:23","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/kimya\/bet-yuzey-alani-hesaplama\/"},"modified":"2026-10-14T09:03:23","modified_gmt":"2026-10-14T08:03:23","slug":"bet-yuzey-alani-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/kimya\/bet-yuzey-alani-hesaplama\/","title":{"rendered":"BET Y\u00fczey Alan\u0131 Hesaplay\u0131c\u0131"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">BET tek tabaka kapasitesinden \u00f6zg\u00fcl y\u00fczey alan\u0131n\u0131 hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3927\" data-favorite-title=\"BET Y\u00fczey Alan\u0131\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/kimya\/bet-yuzey-alani-hesaplama\/\" data-favorite-excerpt=\"Bir tozun veya g\u00f6zenekli malzemenin BET \u00f6zg\u00fcl y\u00fczey alan\u0131n\u0131 (m\u00b2\/g), tek tabaka kapasitesi, molek\u00fcler kesit alan\u0131 ve numune k\u00fctlesinden hesaplay\u0131n. mol, mmol ve cm\u00b3 (STP) giri\u015flerini destekler.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-molecule\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/kimya\/bet-yuzey-alani-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3927\" data-post=\"3927\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Tek tabaka miktar\u0131 (nm)<\/label><div class=\"term\">nm<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"tek_tabaka_miktar_nm\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 22.5\" min=\"0\" value=\"22.5\"\/><div class=\"grid grid-cols-1\"><select id=\"field-2\" name=\"birim\" aria-label=\"Birim\"><option value=\"mol\">mol<\/option><option value=\"mmol\">mmol<\/option><option value=\"umol\">\u00b5mol<\/option><option value=\"cm3_stp\" selected>cm\u00b3 (STP)<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-1\">BET grafi\u011finden elde edilen tek tabaka kapasitesi nm (kesme noktas\u0131 1\/c). Gaz hacimleri STP ko\u015fullar\u0131n\u0131 (0 \u00b0C, 1 atm) referans al\u0131r; bu ko\u015fullarda 1 mol = 22,414 cm\u00b3.<\/small><\/div><div class=\"field has-term\" id=\"input-2\"><label for=\"field-3\">Molek\u00fcler kesit alan\u0131 (Am)<\/label><div class=\"term\">Am<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"molekler_kesit_alan_am\" id=\"field-3\" aria-describedby=\"calc-info-3\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 0.162\" min=\"0\" value=\"0.162\"\/><div class=\"grid grid-cols-1\"><select id=\"field-4\" name=\"birim\" aria-label=\"Birim\"><option value=\"nm2\" selected>nm\u00b2<\/option><option value=\"A2\">\u00c5\u00b2<\/option><option value=\"pm2\">pm\u00b2<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-3\">Adsorbat molek\u00fcl\u00fc ba\u015f\u0131na kaplanan alan: 77 K&#039;de N\u2082 \u2248 0,162 nm\u00b2 (16,2 \u00c5\u00b2), Ar \u2248 0,142 nm\u00b2, Kr \u2248 0,195 nm\u00b2, CO\u2082 \u2248 0,170 nm\u00b2.<\/small><\/div><div class=\"field has-term\" id=\"input-3\"><label for=\"field-5\">Numune k\u00fctlesi (m)<\/label><div class=\"term\">m<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"numune_ktlesi_m\" id=\"field-5\" aria-describedby=\"calc-info-5\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 1\" min=\"0\" value=\"1\"\/><div class=\"grid grid-cols-1\"><select id=\"field-6\" name=\"birim\" aria-label=\"Birim\"><option value=\"g\" selected>g<\/option><option value=\"mg\">mg<\/option><option value=\"kg\">kg<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-5\">BET h\u00fccresine fiilen yerle\u015ftirilen, gazdan ar\u0131nd\u0131r\u0131lm\u0131\u015f numunenin k\u00fctlesi.<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3927\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> BET Y\u00fczey Alan\u0131 Sonu\u00e7lar\u0131<\/h3><div class=\"result-box\"><div class=\"field-result\" id=\"output-1\"><span class=\"field-title\"><span>\u00d6zg\u00fcl y\u00fczey alan\u0131 (SBET)<\/span><span class=\"result-term\">SBET<\/span><\/span><span class=\"field-value\" id=\"result-1\" data-unit=\"m\u00b2\/g\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Toplam alan ve di\u011fer birimler<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-3\"><span class=\"field-title\"><span>Hesaplama ayr\u0131nt\u0131lar\u0131<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-4\"><span class=\"field-title\"><span>BET y\u00fczey alan\u0131 hakk\u0131nda<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"3927\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>BET Y\u00fczey Alan\u0131<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ S_{BET} = \\frac{n_m \\cdot N_A \\cdot A_m}{m} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>De\u011fi\u015fkenler:<\/strong><\/p>\n<ul>\n<li>\\(n_m\\) \u2014 tek tabaka kapasitesi; y\u00fczeyin tamam\u0131n\u0131 tam olarak bir molek\u00fcl kal\u0131nl\u0131\u011f\u0131nda kaplayan adsorbat gaz\u0131n\u0131n miktar\u0131 (mol)<\/li>\n<li>\\(N_A\\) \u2014 Avogadro sabiti, \\(6.02214076 \\times 10^{23}\\) mol\u207b\u00b9 (tam SI de\u011feri)<\/li>\n<li>\\(A_m\\) \u2014 adsorbat\u0131n molek\u00fcler kesit alan\u0131 (molek\u00fcl ba\u015f\u0131na m\u00b2)<\/li>\n<li>\\(m\\) \u2014 gaz\u0131 al\u0131nm\u0131\u015f (degaze edilmi\u015f) numunenin k\u00fctlesi (g)<\/li>\n<li>\\(S_{BET}\\) \u2014 \u00f6zg\u00fcl y\u00fczey alan\u0131 (m\u00b2\/g)<\/li>\n<\/ul>\n<p>Form\u00fcl, s\u0131k\u0131 paketlenmi\u015f tek tabakadaki molek\u00fcl say\u0131s\u0131n\u0131 (\\(n_m \\cdot N_A\\)) bulur, her molek\u00fcl\u00fcn kaplad\u0131\u011f\u0131 alanla \u00e7arpar ve numune k\u00fctlesine b\u00f6lerek gram ba\u015f\u0131na d\u00fc\u015fen y\u00fczey alan\u0131n\u0131 verir.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>BET Y\u00fczey Alan\u0131 \u2013 \u00d6rnek Hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> 1 g silika numunesinde 77 K'da \u00f6l\u00e7\u00fclen bir azot adsorpsiyon izotermi, 22,5 cm\u00b3 (STP) tek tabaka hacmi veriyor. N\u2082'nin standart kesit alan\u0131 \\(A_m\\) = 0,162 nm\u00b2 kullan\u0131larak BET y\u00fczey alan\u0131n\u0131 hesaplay\u0131n.<\/p>\n<p>Tek tabaka hacmini, STP'de bir ideal gaz\u0131n mol hacmi olan 22.414 cm\u00b3\/mol ile mola \u00e7evirin \u2014 <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/avogadros-law-calculator\/\">Avogadro yasas\u0131<\/a> hesaplay\u0131c\u0131s\u0131nda kullan\u0131lan ayn\u0131 ili\u015fki:<\/p>\n<p>\\[ n_m = \\frac{22.5 \\text{ cm}^3}{22{,}414 \\text{ cm}^3\/\\text{mol}} = 1.004 \\times 10^{-3} \\text{ mol} \\]<\/p>\n<p>Tek tabakadaki molek\u00fcl say\u0131s\u0131n\u0131 bulun ve her birinin alan\u0131yla \u00e7arp\u0131n:<\/p>\n<p>\\[ N = 1.004 \\times 10^{-3} \\times 6.022 \\times 10^{23} = 6.045 \\times 10^{20} \\text{ molek\u00fcl} \\]<\/p>\n<p>\\[ S = 6.045 \\times 10^{20} \\times 0.162 \\times 10^{-18} \\text{ m}^2 = 97.9 \\text{ m}^2 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\( S_{BET} = 97.9 \/ 1 \\text{ g} \\approx 97.9 \\) m\u00b2\/g \u2014 mezo g\u00f6zenekli bir silika veya ince bir oksit tozu i\u00e7in tipik bir de\u011fer.<\/p>\n<p>\n\r\n<\/section>\n<h2>BET Y\u00fczey Alan\u0131 Hesaplay\u0131c\u0131 Nas\u0131l Kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>BET grafi\u011finizden elde etti\u011finiz <strong>tek tabaka miktar\u0131n\u0131 (nm)<\/strong> girin (kesme noktas\u0131n\u0131n tersi, \\(1\/c\\)) ve birimini se\u00e7in: <code>mol<\/code>, <code>mmol<\/code>, <code>\u00b5mol<\/code> veya <code>cm\u00b3 (STP)<\/code>. Girilen gaz hacimleri STP'ye (0 \u00b0C, 1 atm) ait olmal\u0131d\u0131r.<\/li>\n<li>Adsorbat\u0131n <strong>molek\u00fcler kesit alan\u0131n\u0131 (Am)<\/strong> girin ve <code>nm\u00b2<\/code>, <code>\u00c5\u00b2<\/code> veya <code>pm\u00b2<\/code> birimini se\u00e7in. Varsay\u0131lan de\u011fer olan 0,162 nm\u00b2, 77 K'da N\u2082 i\u00e7in standart kabul edilen de\u011ferdir.<\/li>\n<li>BET h\u00fccresindeki gaz\u0131 al\u0131nm\u0131\u015f numunenin <strong>k\u00fctlesini (m)<\/strong> <code>g<\/code>, <code>mg<\/code> veya <code>kg<\/code> cinsinden girin.<\/li>\n<li><strong>\u00d6zg\u00fcl y\u00fczey alan\u0131n\u0131 (SBET)<\/strong> m\u00b2\/g cinsinden okuyun; toplam numune alan\u0131, alternatif birimler ve ad\u0131m ad\u0131m hesaplama ayr\u0131nt\u0131s\u0131 da birlikte verilir.<\/li>\n<\/ol>\n<h2>BET Y\u00fczey Alan\u0131 Nedir?<\/h2>\n<p>BET y\u00f6ntemi (Brunauer\u2013Emmett\u2013Teller), g\u00f6zenekli ya da ince taneli kat\u0131lar\u0131n \u2014 kataliz\u00f6rlerin, aktif karbonlar\u0131n, zeolitlerin, MOF'lar\u0131n, pigmentlerin ve ila\u00e7 tozlar\u0131n\u0131n \u2014 y\u00fczey alan\u0131n\u0131 \u00f6l\u00e7mek i\u00e7in kullan\u0131lan standart tekniktir. Numune, genellikle 77 K'ye so\u011futulur ve artan ba\u011f\u0131l bas\u0131n\u00e7larda y\u00fczeyine gaz adsorplan\u0131r. \u0130zoterminin BET d\u00f6n\u00fc\u015f\u00fcm\u00fc, \\( p\/[v(p_0 - p)] \\) de\u011ferinin \\( p\/p_0 \\) de\u011ferine kar\u015f\u0131 \u00e7izildi\u011fi grafik, \\( p\/p_0 \\approx 0.05\\text{\u2013}0.30 \\) aral\u0131\u011f\u0131nda do\u011frusald\u0131r; bu do\u011frunun e\u011fimi ve kesme noktas\u0131, t\u00fcm y\u00fczeyi tam bir molek\u00fcl kal\u0131nl\u0131\u011f\u0131nda kaplamak i\u00e7in gereken gaz miktar\u0131 olan tek tabaka kapasitesini (\\(n_m\\)) verir.<\/p>\n<p>\\(n_m\\) bilindikten sonra y\u00fczey alan\u0131 do\u011frudan hesaplan\u0131r: Avogadro sabitiyle \u00e7arp\u0131m tek tabakadaki molek\u00fcl say\u0131s\u0131n\u0131, molek\u00fcler kesit alan\u0131 \\(A_m\\) ile \u00e7arp\u0131m ise bu molek\u00fcllerin kaplad\u0131\u011f\u0131 toplam alan\u0131 verir. Numune k\u00fctlesine b\u00f6l\u00fcnmesiyle m\u00b2\/g cinsinden \u00f6zg\u00fcl y\u00fczey alan\u0131 \\(S_{BET}\\) bulunur; malzeme karakterizasyonunda neredeyse her zaman rapor edilen say\u0131 budur.<\/p>\n<p>Sonucun yorumu: yakla\u015f\u0131k 10 m\u00b2\/g'nin alt\u0131ndaki de\u011ferler d\u00fc\u015f\u00fck kabul edilir (iri, g\u00f6zeneksiz tozlar i\u00e7in tipiktir); 100\u2013500 m\u00b2\/g aral\u0131\u011f\u0131 g\u00f6zenekli silika ve al\u00fcminlarda yayg\u0131nd\u0131r; yakla\u015f\u0131k 1000 m\u00b2\/g'nin \u00fczeri ise aktif karbon, zeolit ve metal-organik yap\u0131lar (MOF) gibi y\u00fcksek oranda g\u00f6zenekli malzemelerin alan\u0131d\u0131r. Y\u00fczey alan\u0131 adsorpsiyonu, katalizi ve \u00e7\u00f6z\u00fcnme davran\u0131\u015f\u0131n\u0131 do\u011frudan etkiledi\u011finden \\(S_{BET}\\), \u00f6nemli bir kalite kontrol ve ara\u015ft\u0131rma parametresidir.<\/p>\n<h2>Molek\u00fcler Kesit Alan\u0131 Nas\u0131l Se\u00e7ilir?<\/h2>\n<p>Sonucun do\u011frulu\u011fu, adsorbat\u0131n\u0131za ve s\u0131cakl\u0131\u011fa uygun \\(A_m\\) de\u011ferini kullanmaya g\u00fc\u00e7l\u00fc bi\u00e7imde ba\u011fl\u0131d\u0131r:<\/p>\n<table>\n<thead>\n<tr>\n<th>Adsorbat<\/th>\n<th>S\u0131cakl\u0131k<\/th>\n<th>Am (nm\u00b2)<\/th>\n<th>Am (\u00c5\u00b2)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>N\u2082 (standart)<\/td>\n<td>77 K<\/td>\n<td>0,162<\/td>\n<td>16,2<\/td>\n<\/tr>\n<tr>\n<td>Ar<\/td>\n<td>87 K<\/td>\n<td>0,142<\/td>\n<td>14,2<\/td>\n<\/tr>\n<tr>\n<td>Kr<\/td>\n<td>77 K<\/td>\n<td>0,195\u20130,210<\/td>\n<td>19,5\u201321,0<\/td>\n<\/tr>\n<tr>\n<td>CO\u2082<\/td>\n<td>273 K<\/td>\n<td>0,170<\/td>\n<td>17,0<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00c7o\u011fu rutin analiz i\u00e7in 77 K'daki azot varsay\u0131lan se\u00e7imdir. D\u00fc\u015f\u00fck y\u00fczey alanl\u0131 numunelerde (yakla\u015f\u0131k 10 m\u00b2\/g alt\u0131) kripton tercih edilir; \u00e7\u00fcnk\u00fc \u00e7ok d\u00fc\u015f\u00fck doyma bas\u0131nc\u0131, \u00f6l\u00fc hacim d\u00fczeltmesindeki belirsizli\u011fi azalt\u0131r. 273 K'daki CO\u2082 ise mikro g\u00f6zenek analizinde kullan\u0131l\u0131r; \u00e7\u00fcnk\u00fc 77 K'da azotun yava\u015f girdi\u011fi ultra mikro g\u00f6zeneklere eri\u015febilir.<\/p>\n<h2>Varsay\u0131mlar, S\u0131n\u0131rlamalar ve Pratik \u0130pu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>S\u0131k\u0131 paketlenmi\u015f tek tabaka:<\/strong> hesap, her molek\u00fcl\u00fcn alt\u0131gen s\u0131k\u0131 paketli bir tabakada tabloda verilen kesit alan\u0131n\u0131 kaplad\u0131\u011f\u0131n\u0131 varsayar. Ger\u00e7ek paketlenme bundan sapabilir; bu da yakla\u015f\u0131k %5\u201320'lik bir belirsizli\u011fe yol a\u00e7ar.<\/li>\n<li><strong>Ge\u00e7erlilik aral\u0131\u011f\u0131:<\/strong> BET modeli yaln\u0131zca BET grafi\u011finin do\u011frusal b\u00f6lgesinde (\\(p\/p_0 \\approx 0.05\\text{\u2013}0.30\\)) g\u00fcvenilirdir. Bu aral\u0131\u011f\u0131n d\u0131\u015f\u0131nda tek tabaka kapasitesi \u2014 dolay\u0131s\u0131yla \\(S_{BET}\\) \u2014 g\u00fcvenilmez hale gelir.<\/li>\n<li><strong>Mikro g\u00f6zenekler:<\/strong> yakla\u015f\u0131k 2 nm'den dar g\u00f6zeneklerde g\u00f6zenek dolmas\u0131, \u00e7ok tabakal\u0131 adsorpsiyonla rekabet etti\u011finden tek tabaka kavram\u0131 ge\u00e7ersizle\u015fir. G\u00fc\u00e7l\u00fc mikro g\u00f6zenekli malzemelerde \\(S_{BET}\\) de\u011ferini, t-plot veya DFT analizinden elde edilen mikro g\u00f6zenek hacimleriyle birlikte rapor edin.<\/li>\n<li><strong>Degazaj:<\/strong> t\u00fcm y\u00fczeyin adsorbata a\u00e7\u0131k olmas\u0131 i\u00e7in numune, \u00f6l\u00e7\u00fcmden \u00f6nce tamamen gaz\u0131ndan ar\u0131nd\u0131r\u0131lmal\u0131d\u0131r; kal\u0131nt\u0131 su veya kirleticiler sonucu d\u00fc\u015f\u00fck g\u00f6sterir.<\/li>\n<li><strong>STP ko\u015fulu:<\/strong> tek tabaka miktar\u0131n\u0131 gaz hacmi olarak girerseniz, bu hacim STP'ye (0 \u00b0C, 1 atm; 1 mol 22.414 cm\u00b3 kaplar) d\u00fczeltilmi\u015f olmal\u0131d\u0131r. Ba\u015fka ko\u015fullarda hacim bildiren cihazlar\u0131n verilerinin \u00f6nce d\u00f6n\u00fc\u015ft\u00fcr\u00fclmesi gerekir; burada da <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/gas-density-calculator\/\">gaz yo\u011funlu\u011fu<\/a> ve <a href=\"https:\/\/wpcalc.com\/en\/chemistry\/molecular-speed-of-a-gas-calculator\/\">molek\u00fcl h\u0131z\u0131<\/a> hesaplay\u0131c\u0131lar\u0131n\u0131n arkas\u0131ndaki ideal gaz ili\u015fkileri ge\u00e7erlidir.<\/li>\n<\/ul>\n<p>Kalite kontrol amac\u0131yla \\(S_{BET}\\) de\u011feriyle birlikte her zaman adsorbat\u0131, s\u0131cakl\u0131\u011f\u0131, \\(A_m\\) de\u011ferini, ba\u011f\u0131l bas\u0131n\u00e7 aral\u0131\u011f\u0131n\u0131 ve BET uyumunun C sabitini kaydedin; farkl\u0131 laboratuvarlar\u0131n sonu\u00e7lar\u0131n\u0131n kar\u015f\u0131la\u015ft\u0131r\u0131labilir olup olmad\u0131\u011f\u0131n\u0131 bu ayr\u0131nt\u0131lar belirler.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir tozun veya g\u00f6zenekli malzemenin BET \u00f6zg\u00fcl y\u00fczey alan\u0131n\u0131 (m\u00b2\/g), tek tabaka kapasitesi, molek\u00fcler kesit alan\u0131 ve numune k\u00fctlesinden hesaplay\u0131n. mol, mmol ve cm\u00b3 (STP) giri\u015flerini destekler.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[3],"tags":[23],"class_list":["post-3927","post","type-post","status-publish","format-standard","hentry","category-kimya","tag-kimyasal-bag"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3927","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=3927"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3927\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3927"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3927"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3927"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}