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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 (download, 25 kB).
|
Glass component |
bi value |
|
SiO2 |
0.0133 |
|
TiO2 |
-0.0327 |
|
Al2O3 |
0.0139 |
|
MgO |
0.0137 |
|
CaO |
0.0123 |
|
SrO |
0.0084 |
|
BaO |
0.0024 |
|
MnO |
-0.0223 |
|
CoO |
0.0312 |
|
NiO |
0.0166 |
|
CuO |
0.0333 |
|
ZnO |
0.0078 |
|
PbO |
0.0035 |
|
Li2O |
-0.0088 |
|
Na2O |
-0.0047 |
|
K2O |
0.0027 |
|
Cs2O |
-0.0006 |
|
B2O3 |
0.0082 |
|
Fe2O3 |
0.0085 |
|
Sb2O3 |
-0.0108 |
|
Bi2O3 |
0.0053 |
|
F2 |
-0.0508 |
[1] M. K. Choudhary, R. M. Potter: "Heat Transfer in Glass-Forming Melts"; Chapter 9 in: "Properties of Glass-Formation Melts" 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] L. van der Tempel, G. P. Melis, T. C. Brandsma: "Thermal Conductivity of a Glass: I. Measurement by the Glass-Metal Contact"; Glass Physics and Chemistry, vol. 26, no. 6, 2000, p 606-611
[3] L. van der Tempel: "Thermal Conductivity of a Glass: II. The Empirical Model"; Glass Physics and Chemistry, vol. 28, no. 3, 2002, p 147-152