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<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"> <html> <head> <title>Glass Thermal Conductivity Calculation</title> <META NAME="TITLE" CONTENT="Glass Thermal Conductivity Calculation"> <META NAME="DESCRIPTION" CONTENT="Calculation of the Thermal Conductivity of Glass from the Chemical Composition"> <META NAME="KEYWORDS" CONTENT="glass thermal conductivity calculation, phonon conductivity, glass development, statistical modeling, statistical analysis, statistics, multiple regression"> <META NAME="OWNER" CONTENT="info@glassproperties.com"> <META NAME="AUTHOR" CONTENT="Alexander Fluegel"> <meta name="copyright" content="Alexander Fluegel"> <META HTTP-EQUIV="Content-Type" CONTENT="text/html; charset=ISO-8859-1"> <META HTTP-EQUIV="CONTENT-LANGUAGE" CONTENT="English"> <META HTTP-EQUIV="VW96.OBJECT-TYPE" CONTENT="Homepage"> <meta http-equiv="Content-Style-Type" content="text/css"> <META NAME="RATING" CONTENT="General"> <META NAME="ROBOTS" CONTENT="INDEX,FOLLOW"> <META NAME="REVISIT-AFTER" CONTENT="4 weeks"> <link REL="SHORTCUT ICON" HREF="../icon.ico"> <LINK href="../style.css" type="text/css" rel=stylesheet> <script type="text/javascript" src="../nav.js"></script> <script type="text/javascript" src="../tips.js"></script> </head> <body lang=EN-US link=blue vlink=purple bgcolor="#FFFFFF" text="#000000" onLoad="Event_init(),Tooltip.init()" background="../navigation_back.gif"> <script type="text/javascript" src="../menu.js"></script> <table border=0 cellspacing=0 cellpadding=0 width="100%" style='width:100.0%;border-collapse:collapse'> <tr> <td width="20%" valign=top style='width:20%'>   </td> <td width="80%" valign=top style='width:80%'> <div align=right><iframe src="../box.htm" width="230" height="25" frameborder="0" scrolling="no" align="right"></iframe></div> </td> </tr> </table> Glass Thermal (Phonon) Conductivity Calculation An extensive model for the calculation of the thermal (phonon) conductivity of glasses at room temperature has been published by Choudhary and Potter [1]. According to those authors the thermal conductivity k in W / (m · K) is obtained using the formula k = Σ(bi × ci), where the bi values are listed below, and ci are the glass component concentrations in weight percent. The prediction error is reported to be about 10% of the prediction result. The calculation may be performed using a small Excel program provided here (<a href="GlassThermalConductivityCalc_1.xls" target="_blank">download, 25 kB</a>). <div align=center> <table class=MsoTableGrid border=1 cellspacing=0 cellpadding=0 style='border-collapse:collapse;border:none'> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;padding: 0cm 5.4pt 0cm 5.4pt'> Glass component </td> <td width=81 style='width:61.05pt;border:solid windowtext 1.0pt;border-left: none;padding:0cm 5.4pt 0cm 5.4pt'> bi value </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> SiO2 </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0133 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> TiO2 </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> -0.0327 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> Al2O3 </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0139 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> MgO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0137 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> CaO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0123 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> SrO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0084 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> BaO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0024 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> MnO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> -0.0223 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> CoO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0312 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> NiO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0166 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> CuO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0333 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> ZnO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0078 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> PbO </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0035 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> Li2O </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> -0.0088 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> Na2O </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> -0.0047 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> K2O </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0027 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> Cs2O </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> -0.0006 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> B2O3 </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0082 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> Fe2O3 </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0085 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> Sb2O3 </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> -0.0108 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> Bi2O3 </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> 0.0053 </td> </tr> <tr> <td width=158 style='width:118.2pt;border:solid windowtext 1.0pt;border-top: none;padding:0cm 5.4pt 0cm 48.2pt'> F2 </td> <td width=81 style='width:61.05pt;border-top:none;border-left:none; border-bottom:solid windowtext 1.0pt;border-right:solid windowtext 1.0pt; padding:0cm 5.4pt 0cm 5.4pt'> -0.0508 </td> </tr> </table> </div>   [1]牋 M. K. Choudhary, R. M. Potter: "Heat Transfer in Glass-Forming Melts"; Chapter 9 in: "<a href="http://www.amazon.com/gp/product/1574446622/102-8060003-8867307?v=glance&n=283155&n=507846&s=books&v=glance" target="_blank">Properties of Glass-Formation Melts</a>" ed. by D. L. Pye, A. Montenaro, I. Joseph; CRC Press, Boca Raton, Florida, May 2005, ISBN: 1-57444-662-2     At glass melting temperatures the thermal (phonon) conductivity has been estimated by van der Temperl et al. [2, 3].   [2]牋 L. van der Tempel, G. P. Melis, T. C. Brandsma: "<a href="http://www.ingentaconnect.com/content/maik/gpac/2000/00000026/00000006/00297709" target="_blank">Thermal Conductivity of a Glass: I. Measurement by the Glass-Metal Contact</a>"; Glass Physics and Chemistry, vol. 26, no. 6, 2000, p 606-611 [3]牋 L. van der Tempel: "<a href="http://www.ingentaconnect.com/content/maik/gpac/2002/00000028/00000003/00378672" target="_blank">Thermal Conductivity of a Glass: II. The Empirical Model</a>"; Glass Physics and Chemistry, vol. 28, no. 3, 2002, p 147-152 </body> </html>