Abstract
It has been shown that the method of Kirkwood expansions can be used to calculate the thermodynamic properties of interstitial solid solutions within certain limits of temperature and composition. This method of calculation allows the first-order partition function for the crystal to be calculated without introducing error in the degeneracy of the maximum term in the sum-over-states. The resulting theoretical equations are shown to be consistent with recent extensive measurements on the carbon austenite solution. Furthermore it is found that the solute atom mutual pairwise interaction energy is close to that deduced from the simpler quasi-chemical approximation, indicating that only a small error is introduced by using the simple counting scheme of the quasi-chemical method. The results also indicate that the thermodynamic properties of carbon austenite are adequately represented by first neighbor interactions only.
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