Fractional Dynamic Model of Heat Capacity of Crystal Solids

The heat capacity model is proposed for crystals with different dynamic connections and dimensions, which takes into account the contribution of heat capacities of the lattice and electron gas. It is found that the proposed theory describes adequately the temperature dependences of heat capacity of some substances, such as graphite, various refractory materials, metal oxides, and glasses. Mechanisms of variations in heat capacity and heat conductivity of crystal solids during transfer into the disordered (amorphous) state are discussed. It is shown that heat capacity of crystals in the range of low and medium temperatures is determined by the heat capacity of electron gas and by the dynamic dimension and connection of lattice which can take fractional values.