Aluminum Debye temperature

The Debye temperature for aluminum is 160°C, so that in the temperature range of interest, 200°-600°C, the heat capacity weakly depends on temperature and equals C — l,15kJ/kg K. The absorbed heat dQ increases the sample... 

Plot the following values of Cv for aluminum, obtained at low temperatures, against T , and hence determine the (mean) Debye temperature compare the result with that obtained in Exercise 14. 

Low-Temperature Specific Heat. Although no liquid-helium-temperature data exist for boron, the specific heat has been measured between 13 and 305 K by Johnston et al [ ]. As a result, a Debye temperature of 1219 K has been assigned to the temperature range of 60 to 150 K [ ]. This value is assumed to be applicable at low temperatures and is used in synthesizing a value for the lattice specific heat coefficient ( 3 or jS) of the boron/aluminum composite, on the assumption that the mixture principle is applicable, viz. ... 

Estimate the Debye temperatures from the Lindemann approximation for nickel, aluminum, and zinc. Compare your results with measured values. Calculate the percent difference and display in a tabular form. The specific volumes for nickel, aluminum, and zinc are 6.6, 10.0, and 10.4cmVniol, respectively. 

Using the Debye curve obtained in the preceding exercise, and the values of Cv for aluminum given below, determine the (mean) Debye characteristic temperature for this element. 

At sufficiently low temperatures, Debye s equation reduces to Eq, (3.10). This fits quite well with the measured specific heat curves of many substances, provided the temperature is below 0 >/12 for copper and aluminum this is about 30 K. On further reduction of the temperature, to the boiling point of helium, departures from the T law become evident and the specific heat is given by an equation of the form... 

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