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利用半经典量子化理论和量子理论，分别采用Ｌｅｎｎａｒｄ－Ｊｏｎｅｓ势和Ｍｏｒｓｅ势，对双原子分子的振动能级给予了较为详细的数值计算，并将所得结果与部分实验数据进行比较，对双原子分子的振动能级作了较为详细的讨论．
The vibrational energy levels of diatomic molecules are numerically calculated using the Lennard-Jones potential and the Morse potential respectively by using the semi-classical quantum theory and the quantum theory. The obtained results are compared with some experimental data, The molecular vibrational energy level has been discussed in more detail.