一维双原子链热容的研究

Study on the Lattice Heat Capacity in One-demensional Diatomic Chain

对于一维双原子链组成的晶格,可以求出频谱密度,进而可以求出晶格的振动能和热容,并进行了数值计算。结果表明:对于一维双原子链的晶格热容,在高温时与经典理论吻合,在低温时也符合徳拜定律,但在中温区相对原子量对热容有影响。

For one-demensional diatomic chain, the frequency spectrum density can be accurately derived, which can solve the lattice vibration energy and heat capacity, and the numerical results. The results show that, at high temperature, heat capacity accord with the classical theory of heat capacity, at low temperature, the heat ca- pacity accord with Debye law, In the middle temperature area, the relative atomic mass have influence on the heat capacity.