The first-order relativistic effects such as relativistic correction to the kinetic energy, spin-orbit interaction and one-and two-body Darwin terms for the ground and excited states of confined $H^{-}$, $He$, $L{i}^{+}$ and $B{e}^{++}$ atoms have been investigated. The results reveal that impurity charge and dot radius have a strong influence on the relativistic effects. In the strong confinement region, when the dot radius is further decreased, the magnitude of relativistic effects increases rapidly. Similarly, as the impurity charge increases, the relativistic effects increase substantially. In the electronic configuration ^1,3S (1s2s), spin-orbit interaction energy and total Darwin energy for the case of triplet are lower than the singlet case. In addition, when the dot radius is large enough, the results for the relativistic effects approach to the corresponding values of free atom.

一阶相对论效应，例如动能的相对论修正、自旋轨道相互作用以及约束的基态和激发态的单体和双体达尔文项 $H^{-}$, $H\mathrm{电子}$, $升{\mathrm{一世}}^{+}$ 和 $乙{\mathrm{电子}}^{++}$原子进行了研究。结果表明，杂质电荷和点半径对相对论效应有很大影响。在强限制区域，当点半径进一步减小时，相对论效应的大小迅速增加。同样，随着杂质电荷的增加，相对论效应显着增加。在电子配置^1,3 S (1s2s) 中，三重态的自旋轨道相互作用能和总达尔文能量低于单重态。此外，当点半径足够大时，相对论效应的结果接近自由原子的相应值。