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Atomic vibrations and thermal expansion of some silicates at high temperatures

Published/Copyright: July 28, 2010
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Abstract

At present improved experimental techniques permit precise collection of intensity data at elevated temperatures, thus allowing a quantitative study of the temperature dependence of the structural parameters. However, our understanding of the process of thermal expansion is still poor, due to lack of precise data on the behavior of the vibrational properties of atoms. This is discussed by correlating concepts of crystal dynamics with modern theories of chemical bonding.

The role of transverse vibrations in bridging-oxygen atoms is emphasized, by studying an ideal isolated Si–O–Si system at its equilibrium position and considering cation-anion interactions which obey Hooke's elasticity law. The resultant changes in the value of the Si–O–Si angle are interpreted in terms of redistribution of energy modes which are considered responsible for preferential expansion of a crystal structure. Such concepts are applied to the study of the thermal behavior of a number of silicates (diopside, tremolite, beryl). Particular emphasis is given to the relationship between the thermal expansion of low and high quartz.

Published Online: 2010-07-28
Published in Print: 1974-07
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