The study on temperature dependent γ-ray attenuation and thermophysical properties of CaO and MgO has been carried out in the temperature range 300?K–1250?K using different energies of γ-beam, namely, Am (0.0595?MeV), Cs (0.66?MeV), and Co (1.173?MeV and 1.332?MeV) on γ-ray densitometer fabricated in our laboratory. The linear attenuation coefficients (μl) for the pellets of CaO and MgO as a function of temperature have been determined using γ-beam of different energies. The coefficients of temperature dependence of density have been reported. The variation of density and linear thermal expansion of CaO and MgO in the temperature range of 300?K–1250?K has been studied and compared with the results available in the literature. The temperature dependence of linear attenuation coefficients, density, and thermal expansion has been represented by second degree polynomial. Volume thermal expansion coefficients have been reported. 1. Introduction Density and thermal expansion are fundamental thermophysical properties of solids. The study of temperature dependence of these properties is very important in understanding the temperature variation of other properties like elastic constants, refractive indices, dielectric constants, thermal conductivity, diffusion coefficients, and other heat transfer dimensionless numbers. Thermal expansion of solids is of technical importance as it determines the thermal stability and thermal shock resistance of the material. In general the thermal expansion characteristics decide the choice of material for the construction of metrological instruments and the choice of container material in nuclear fuel technology. A number of methods have evolved for the determination of density and thermal expansion of solids at high temperature like Archimedean method [1–3], pycnometry [4–8], dilatometry [9–12], electromagnetic levitation [13], method of maximal pressure in gas bubble [14–18], method of sessile drop [19], hydrostatic weighing [20, 21], high temperature electrostatic levitation [22], and gamma ray densitometry [23–34]. Using γ-ray attenuation technique Drotning [23] measured thermal expansion of solid materials at high temperatures. He studied thermal expansion of aluminum and type 303 stainless steel at high temperatures and such studies have been extended by him to study the thermal expansion of metals and glasses in the condensed state [24]. The γ-radiation attenuation technique for the determination of thermophysical properties in the condensed state has several advantages over other methods at high temperatures. This is
References
[1]
B. B. Alchagirov and A. M. Chochaeva, “Temperature dependence of the density of liquid tin,” High Temperature, vol. 38, no. 1, pp. 44–48, 2000.
[2]
L. Wang, Q. Wang, A. Xian, and K. Lu, “Precise measurement of the densities of liquid Bi, Sn, Pb and Sb,” Journal of Physics: Condensed Matter, vol. 15, no. 6, pp. 777–783, 2003.
[3]
X. Chen, Q. Wang, and K. Lu, “Temperature and time dependence of the density of molten indium antimonide measured by an improved archimedean method,” Journal of Physics: Condensed Matter, vol. 11, no. 50, pp. 10335–10341, 1999.
[4]
B. B. Alchagirov, A. G. Mozgovoy, T. M. Taova, and T. A. Sizhahzev, Advanced Materials, vol. 6, no. 35, 2005.
[5]
B. B. Alchagirov, T. M. Shamparov, and A. G. Mozgovoi, “Experimental investigation of the density of molten lead-bismuth eutectic,” High Temperature, vol. 41, no. 2, pp. 210–215, 2003.
[6]
A. F. Crawley, “Densities and viscosities of some liquid alloys of zinc and cadmium,” Metallurgical Transactions B, vol. 3, no. 4, pp. 971–975, 1972.
[7]
K. Mukai, F. Xiao, K. Nogi, and Z. Li, “Measurement of the density of Ni–Cr alloy by a modified pycnometric method,” Materials Transactions, vol. 45, no. 7, pp. 2357–2363, 2004.
[8]
Y. Sato, T. Nishizuka, K. Hara, T. Yamamura, and Y. Waseda, “Density measurement of molten silicon by a pycnometric method,” International Journal of Thermophysics, vol. 21, no. 6, pp. 1463–1471, 2000.
[9]
U. Jauch, G. Hasse, and B. Schulz, “Part 11: thermophysical properties of Li(17)Pb(83) eutectic alloy,” in Thermophysical Properties in the System Li-Pb, vol. 25, Kernforschungszentrum Karlsruhe, Karlsruhe, Germany, 1986.
[10]
L. Wang and Q. Mei, “Density measurement of liquid metals using dilatometer,” Journal of Materials Science & Technology, vol. 22, no. 4, pp. 569–571, 2006.
[11]
G. K. White and J. G. Collins, “The thermal expansion of alkali halides at low temperatures. II. Sodium, rubidium and caesium halides,” Proceedings of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 333, pp. 237–259, 1973.
[12]
“Pb-free solders and other materials,” Journal of Electronic Materials, 2011.
[13]
J. Brillo, I. Egry, and I. Ho, “Density and thermal expansion of liquid Ag–Cu and Ag–Au alloys,” International Journal of Thermophysics, vol. 27, no. 2, pp. 494–506, 2006.
[14]
S. A. Been, H. S. Edwards, C. E. Tecter, and V. P. Calkins, “ORNL: fairchild and airplane corporation,” NEPA Report 1585, 1950.
[15]
Fairchild Engine and Airplane Corporation, Oak Ridge, Tenn, USA.
[16]
H. Ruppersberg and W. Speicher, “Density and compressibility of liquid Li–Pb alloys,” Zeitschrift Naturforschung Teil A, vol. 31, pp. 47–52, 1976.
[17]
J. Saar and H. Ruppersberg, “Calculation of (T) for liquid Li/Pb alloys from experimental ρ(T) and (δp/δT)s data,” Journal of Physics F: Metal Physics, vol. 17, no. 2, pp. 305–314, 1987.
[18]
F. T. Firdu and P. Taskinen, Aalto University Publications in Material Science and Engineering, Espoo TKK-MT-215, 2010.
[19]
I. V. Kazakova, S. A. Lyamkyn, and B. M. Lepinskikh, The Journal of Physical Chemistry, vol. 58, p. 1534, 1984.
[20]
N. A. Nikol’skyi, N. A. Kalakutskaya, I. M. Pehelkin, T. V. Klassen, and V. A. Vel’mishcheva, “Teploenergetika (Power Engineering),” vol. 2, no. 92, 1959.
[21]
N. A. Nikol’skyi, N. A. Kalakutskaya, I. M. Pehelkin, T. V. Klassen, and V. A. Vel’mishcheva, “Voprocsy teploobmena,” Problems of Heat Transfer.
[22]
S. K. Chung, D. B. Thiessen, and W.-K. Rhim, “A noncontact measurement technique for the density and thermal expansion coefficient of solid and liquid materials,” Review of Scientific Instruments, vol. 67, no. 9, pp. 3175–3181, 1996.
[23]
W. D. Drotning, “Thermal expansion of solids at high temperatures by the gamma attenuation technique,” Review of Scientific Instruments, vol. 50, no. 12, Article ID 121567, pp. 1567–1570, 1979.
[24]
W. D. Drotning, “Thermal expansion of the group IIb liquid metals zinc, cadmium and mercury,” Journal of The Less-Common Metals, vol. 96, pp. 223–227, 1984.
[25]
W. D. Drotning, “Thermal expansion of iron, cobalt, nickel, and copper at temperatures up to 600?K above melting,” High Temperatures-High Pressures, vol. 13, no. 4, pp. 441–458, 1981.
[26]
G. M. Kalinin, et al., “Study of Lil7–Pb83 eutectic properties,” USSR Contribution to ITER. In press.
[27]
R. A. Khairulin, A. S. Kosheleva, and S. V. Stankus, “Thermal properties of liquid alloys of magnesium-lead system,” Thermophysics and Aeromechanics, vol. 14, no. 1, pp. 75–80, 2007.
[28]
R. A. Khairulin, S. V. Stankus, R. N. Abdullaev, Y. A. Plevachuk, and K. Y. Shunyaev, “The density and the binary diffusion coefficients of silver-tin melts,” Thermophysics and Aeromechanics, vol. 17, no. 3, pp. 391–396, 2010.
[29]
K. Narender, A. S. M. Rao, K. G. K. Rao, and N. G. Krishna, “Thermo physical properties of wrought aluminum alloys 6061, 2219 and 2014 by gamma ray attenuation method,” Thermochimica Acta, vol. 569, pp. 90–96, 2013.
[30]
A. S. M. Rao, K. Narender, K. G. K. Rao, and N. G. Krishna, “Thermophysical properties of rubidium and lithium halides by gamma ray attenuation technique,” High Temperature. In press.
[31]
S. V. Stankus, R. A. Khairulin, A. G. Mozgovoy, V. V. Roshchupkin, and M. A. Pokrasin, “The density and thermal expansion of eutectic alloys of lead with bismuth and lithium in condensed state,” Journal of Physics: Conference Series, vol. 98, no. 6, Article ID 062017, 2008.
[32]
S. V. Stankus and P. V. Tyagel’skii, “Density of high-purity dysprosium in the solid and liquid states,” High Temperature, vol. 38, no. 4, pp. 555–559, 2000.
[33]
S. V. Stankus, R. A. Khairulin, A. G. Mozgovoi, V. V. Roshchupkin, and M. A. Pokrasin, “An experimental investigation of the density of bismuth in the condensed state in a wide temperature range,” High Temperature, vol. 43, no. 3, pp. 368–378, 2005.
[34]
S. V. Stankus, R. A. Khairulin, and A. G. Mozgovoi, “Experimental study of density and thermal expansion of the advanced materials and heat transfer agents for liquid metal systems of thermonuclear reactor: lithium,” High Temperature, vol. 49, no. 2, pp. 187–192, 2011.
[35]
S. K. Srivastava, P. Sinha, and M. Panwar, “Thermal expansivity and isothermal bulk modulus of ionic materials at high temperatures,” Indian Journal of Pure & Applied Physics, vol. 47, no. 3, pp. 175–179, 2009.
[36]
K. Y. Singh and B. R. K. Gupta, “A simple approach to analyse the thermal expansion in minerals under the effect of high temperature,” Physica B: Condensed Matter, vol. 334, no. 3-4, pp. 266–271, 2003.
[37]
B. P. Singh, H. Chandra, R. Shyam, and A. Singh, “Analysis of volume expansion data for periclase, lime, corundum and spinel at high temperatures,” Bulletin of Materials Science, vol. 35, no. 4, pp. 631–637, 2012.
[38]
R. E. Taylor, Thermal Expansion of Solids, ASM International, Materials Park, Ohio, USA, 1998.
[39]
I. Han and L. Demir, “Studies on effective atomic numbers, electron densities and mass attenuation coefficients in Au alloys,” Journal of X-Ray Science and Technology, vol. 18, no. 1, pp. 39–46, 2010.
[40]
D. Demir, A. Tur?ucu, and T. ?znülüer, “Studies on mass attenuation coefficient, effective atomic number and electron density of some vitamins,” Radiation and Environmental Biophysics, vol. 51, no. 4, pp. 469–475, 2012.
[41]
N. Kucuk, Z. Tumsavas, and M. Cakir, “Determining photon energy absorption parameters for different soil samples,” Journal of Radiation Research, vol. 54, no. 3, pp. 578–586, 2013.