Normal vibration frequency of the vibration equations is obtained by using the matrix diagonalization. The dispersion relation under the condition of the periodic boundary and the free boundary is determined. The proposed method can be applied to solve one dimensional diatomic chain and some more complex multi-degree-of-freedom systems.%利用矩阵对角化，求得振动方程组的振动频率，得出周期性边界条件和自由边界条件下的色散关系。该方法可以运用于求解一维双原子链，以及更为复杂的一些多自由度系统。
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