Study of long-range interactions is increasingly becoming essential due to its various applications in cold atomic physics. These interactions can be conveniently expressed in terms of various dispersion coefficients. In the present work, theoretical calculations have been carried out for the two-dipole ($C_6$), and three-dipole ($C_9$) dispersion coefficients among the group XII atoms and their ions, viz. Zn, Cd, Hg, Zn${}^{+}$, Cd${}^{+}$, and Hg${}^{+}$. To obtain these coefficients, the dynamic dipole polarizabilities and reduced matrix elements required are evaluated using the relativistic methods. Further, using the calculated matrix elements, the oscillator strengths corresponding to leading transitions and static dipole polarizabilities of these atoms and ions are determined for the comparison purposes.

由于其在冷原子物理学中的各种应用，长程相互作用的研究变得越来越重要。这些相互作用可以方便地用各种色散系数表示。在目前的工作中，已经对两个偶极子进行了理论计算（$C_6$) 和三偶极子 ($C_9$) 第 XII 族原子及其离子之间的色散系数，即。锌、镉、汞、锌${}^{+}$, 镉${}^{+}$, 和汞${}^{+}$. 为了获得这些系数，使用相对论方法评估所需的动态偶极子极化率和简化矩阵元素。此外，使用计算的矩阵元素，确定与这些原子和离子的超前跃迁和静态偶极极化率相对应的振子强度，以便进行比较。