Abstract
Values of the Debye temperature,θ E, for a number of refractory carbides were calculated from elastic constant data and then compared with those of the Debye temperature,θ D, as derived from low-temperatureC P data. It is found that an apparent discrepancy existed in the literature between the values ofθ E andθ D for these carbides. However, when the same units are used, agreement of 10 pct or better between the values ofθ E andθ D is found for all the carbides with the exception of MoC1/2. A discrepancy of 10 pct is reasonable based on an analysis of both the experimental and theoretical difficulties associated with the evaluation ofθ E and θD for this class of materials. All the elastic constant data used were taken from the literature. Values ofC P for TiC, HfC, and WC were measured in the present study from 1.5° to 15°K. These values in addition to the literature data were used in derivingθ D values. A correlation of the bulk modulus with interatomic spacing is presented for these refractory carbides. Based on this correlation, the bonding forces responsible for the cohesion of this class of materials are discussed.
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Chang, Y.A., Toth, L.E. & Tyan, Y.S. On the elastic and thermodynamic properties of transition metal carbides. Metall Trans 2, 315–320 (1971). https://doi.org/10.1007/BF02662678
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DOI: https://doi.org/10.1007/BF02662678