Explanation

The specific heat of solid state at constant volume is commonly represented by this temperature θ=ω (h/2 π)/k, where, θ Is the Debye temperature, and h is the Planck constant divided by 2 π; K is the Boltzmann constant; ω The angular frequency related to the characteristics of the solid itself. Specifically, ω^ 3=6 π ^ 2v ^ 3N/V, where v is a constant sound velocity, N is the number of solid cells, and V is the volume of the solid. This name is named after Dutch American physicist Debye. Different solids have different Debey temperature. The higher the Debey temperature of the metal, the greater the interatomic force, the smaller the expansion coefficient and the larger the Young's modulus. The Debey temperature is proportional to the upper frequency limit. Similar to the general vibration system, the vibration frequency is high when the interaction between atoms is strong and the atoms are light, so the Debey temperature is also high. For example, the Debey temperature of diamond is about 2050 K, the interaction between lead atoms is weak, and the atoms are also heavy, so the Debey temperature value is very low, less than 100 K, and the Debey temperature value of general elements is about 200 K to 400 K. The deviation of Debye theory is reflected in that the Debey temperature value calculated from the specific heat value at each temperature is not a constant, but the Debey temperature slightly changes with temperature. In most cases, the deviation from the average value is less than 10%, and in some cases, the variation can be greater than 20% (such as zinc)

Classification