calculation of thermal expansion coefficient of glasses 1976 journal of non crystalline solids

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Journal of Non-Crystalline Solids 22 (1976) 305-313 © North-Holland Publishing Company CALCULATION OF THERMAL EXPANSION COEFFICIENT OF GLASSES Akio MAKISHIMA and J.D. MACKENZIE Materials Division School of Engineering and Applied Science University of California at Los Angeles California 90024 USA Received 31 July 1975 Revised manuscript received 1 April 1976 Thermal expansion of oxide glasses has been theoretically studied to derive an equation for the calculation of the thermal expansion coefficient of glass from chemical composition. Gr[ineisen s constant may be correlated with packing density and a ratio of cation-to-anion radius and, considering the packing density and dissociation energy per unit volume, a sem i emprical equation was derived. The agreement between observed and calculated values was satisfactory over 150 glasses of the binary, terna ry and quarternary systems. 1 Introduction The study of thermal expansion of oxide glasses is both scientifically and technol- ogically interesting, for example, in the field of thermal strengthening of glass, thermal expansion coefficients of glasses are important for composite materials of glass Poisson s ratio are critical to make mechanically and thermally stable composite materials. The recent progress of the study of the thermal expansion of glass is well summar- ized in refs. [1 ] and [2]. According to these books more than 18 authors reported empirical additive factors for the calculation of thermal expansion coefficients from chemical compositions. Unfortunately, the additive factors vary for each of the authors. Kumar [3] succeeded in the calculation of the thermal expansion coefficient of non-metallic crystals by a semiempirical approach. However, because of their complex structure, he reported empirical additive factors for glasses. We are interested in a theoretical calculation of physical properties of glasses from their chemical composition to develop new glasses possessing unique properties. This is a very difficult problem because of the complicated structure of glasses. However, as a first approximation we derived a semiempirical equation for the calculation of thermal expansion coefficients of oxide glasses from their chemical compositions and we have made a computer program for this calculation. 305

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