Abstract
Einstein and Debye vibration modes are considered to be different in surface atoms and in interior atoms of fine solid particles. A model is constructed to predict particle size and temperature dependence of excess heat capacities of nanocrystalline substances. It is shown that excess heat capacity is not proportional to specific surface area. However, when specific surface area is far less than a characteristic area of a sample, the specific excess heat capacity can be viewed as independent of particle size. Several types of temperature dependence of excess heat capacity are predicted, including monotonous increase with increase in temperature, one-peak and two-peaks excess heat capacity vs. temperature curves. The proposed model has been used to fit experimental data of nanostructured silver and rutile
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