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Extra resources for Thermal Expansion: Metallic Elements and Alloys
Editor-in-Chief), International Critical Tables~( Numerical Data, Physics, Chemistry and Technology. Vols. I and II, McGraw-Hill, New York, 1926 (Vol. 1), 19c7 (Vol. II). Theory, Estimation, and Measurement 78. Forsythe, W. E. (Editor), Smithsonian Physical Tables, Ninth Revised Edition, Smithsonian Institute (lord Baltimore Press), 1954. 79. Corruccini. R. , and Gniewick, J. , 1961. 80. Gschneider, K. A .. , "Physical Properties and lnterrelationshtps of Metallic and Semi metallic Elements," in Solid State Physics (F.
178, 161~230, 1887. 24. • "The Air Thermometer at High Temperature," Ann. , 307, 505-45, 1900. 25. Fizeau, M. , "Memoir on the Expansion of Solids by Heat," Compt. , 62, 1101~6, 1866. 26. , 1896. 27. , "The Thermal Expansion of Quartz in the Dimension of the Main Axis," Ann. Physik. 9, 837~53, 1902. 28. , "An X-Ray Method to Determine the Thermal Expansion Coefficient at High Temperature," Z. Physik, 40, 37-41, 1926. 29. White, G. , "Measurement of Thermal Expansion at Low Temperatures," Cryogenics, I, 151~8, 1961.
0 the value of y is nearly constant since the whole spectrum of vibrational frequencies is excited and;·, is merely the arithmetic average of the y,, I i'co = 3N 3N L i'; (44) r=l In the low-temperature limit the Debye continuum is a valid model and again y will approach a constant value. (38) where /' = ;·(V, T) = v If the pressure is set equal to zero in Eq. , 7a (45) Yo= where IJ 0 is the limiting value off! 0 at low temperatures. If the weighting of the y, changes with temperature the results can be a large variation of 1 with temperature, sometimes leading to negative values.