The analytic expressions for the thermodynamic quantities such as the mean nearest neighbor distance,the free energy,the isothermal compressibility,the thermal expansion coefficient,the heat capacities at constant volume and at constant pressure of binary interstitial alloy with body-centered cubic(BCC)structure and the small concentration are derived by the statistical moment method.The theoretical results are applied to the interstitial FeC alloy in the interval of temperature from 50 to 1000K and in the interval of interstitial atom concentration from 0 to 5%.In special cases,we obtain the thermodynamic quantities of the main Fe metal.Our calculated results for the thermal expansion coefficient and the heat capacity under constant pressure of main metal Fe are in good agreement with experiments.
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