利用不可约张量方法讨论了过渡金属络合物自旋哈密顿。在考虑自旋轨作用、电子与其它电子旋轨作用、自旋-自旋偶极作用、Fermi作用和外磁场作用的近似下,得到了由分子参量表示的自旋哈密顿参量。在原子轨道近似下,近似地计算了红宝石的g因子,结果与实验符合得相当好,表明用本法解释过渡金属络合物的ESR谱是成功的。 The transition metal complex spin Hamiltonian is discussed by the irreducible tensor method. The spin-Hamiltonian parameters, which are expressed by the molecular parameters, are obtained under the consideration of the spin-orbit function, the interaction between electrons and other electrons, the spin-spin dipole function, the Fermi function and the action of the external magnetic field. In the atomic orbit approximation, the g-factor of ruby ​​is approximated and the result is in good agreement with the experiment, indicating that the ESR spectrum of the transition metal complex is successfully explained by this method.