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Thermal expansion coefficients and Gruneisen parameters of quartz at high temperature by X-ray method

Published online by Cambridge University Press:  10 January 2013

Nabil N. Rammo
Affiliation:
Ministry of Higher Education and Scientific Research, P.O. Box 1240, Baghdad, Iraq
Saad B. Farid
Affiliation:
Ministry of Higher Education and Scientific Research, P.O. Box 1240, Baghdad, Iraq

Abstract

The temperature variation of the interplanar spacings (101), (112), and (211) of 325 mesh quartz was determined in the range 300–966 °K using X-ray powder diffractometry. The measured lattice parameters have been found to increase nonlinearly with temperature, and the dependence has been expressed by a polynomial of second degree from the least-squares fitting of the data, the results of which are presented herein. Values are given for the thermal expansion coefficients and Gruneisen parameter in the range 300 to 768 °K. In the range 768–966 °K, the expansion is zero. The derivatives a/dT, dαc/dT, and v/dT at ambient temperature are also given.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1994

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References

Ackermann, R. J., and Sorrell, C. A. (1974). “Thermal Expansion and the High–Low Transformation in quartz. I. High-Temperature X-ray Studies,“ J. Appl. Cryst. 7, 461467.CrossRefGoogle Scholar
Appleman, D. E., Handwerker, D. S., and Evans, H. T. (1963). “Leastsquares Refinement of Crystal Unit Cell with Powder Diffraction Data,” Ann. Meet. Cryst. Assoc., Cambridge, MA, 4243.Google Scholar
Barron, T. H. K. (1970). “Vibrational Effects in the Thermal Expansion of Non-Cubic Solids,” J. Appl. Phys. 41, 50445050.Google Scholar
Jay, A. H. (1933). “Thermal Expansion of Quartz by X-ray Measurements,” Proc. R. Soc. London, Ser. A 142, 237244.Google Scholar
Lager, G. A., Jorgensen, J. D., and Rotella, F. J. (1982). “Crystal Structure and Thermal Expansion of α-quartz Silicon Dioxide at Low Temperatures,” J. Appl. Phys. 53 (10), 67516756.Google Scholar
Lord, R. C., and Morrow, J. C. (1957). “Calculation of the Heat Capacity of α-quartz and Vitreous SiO2,” J. Chem. Phys. 26, 230232.Google Scholar
Majumdar, A. J., McKinstry, H. A., and Roy, R. (1964). “Thermodynamic Parameters for the α-β Quartz and α-β Cristobalite Transitions,” J. Phys. Chem. Solids 25, 14871489.CrossRefGoogle Scholar
McWhan, D. B. (1967). “Linear Compression of α quartz to 150 Kilobars,” J. Appl. Phys. 38, 347352.Google Scholar
Shadangi, S. K., and Panda, S. C. (1983). “Structure of the Nickel-Zirconium (Ni11Zr9) Phase and its Thermal Expansion Coefficient,” J. Appl. Cryst. 16, 645646.CrossRefGoogle Scholar
Sumino, Y., and Anderson, O. L. (1984). CRC Handbook of Physical Properties of Rocks. Vol. III, edited by Robert, S. Carmichael (CRC, Boca Raton, FL), p. 93.Google Scholar
Wallis, J., Sigalas, I., and Hart, S. (1986). “Determination of the Thermal Expansion of Orthorhombic Sulfur,” J. Appl. Cryst. 19, 273.Google Scholar
White, G. K. (1964). “Thermal Expansion of Silica at Low Temperatures,” Cryogenics 4, 27.CrossRefGoogle Scholar