We present the derivation of simple analytical expressions for calculating the widths of Rydberg states with small orbital angular momenta in Zn⁺, Cd⁺, Hg⁺ ions of group IIb of the periodic system of elements induced by blackbody radiation (BBR) at ambient temperatures from 100 to 3000 K. The probabilities of radiative transitions from excited nS, nP, nD and nF states to all dipole-accessible states of ions are calculated. The wave functions of the quantum defect (QD) method for the initial and final states of the Rydberg electron are used to calculate the amplitudes of transitions between bound states. The dependences of the probabilities of induced decays and excitations on the BBR temperature, the principal and orbital quantum numbers of the Rydberg ion are determined. Analytical expressions are derived for numerical estimates of the contributions of the probabilities of thermally induced decays and excitations to the width of the Rydberg energy level. The numerical values of the coefficients of interpolation polynomials representing asymptotic expansions in powers of the principal quantum number n for the relative probabilities of decays and excitations of Rydberg states with large values of n and small orbital angular momenta l = 0, 1, 2, 3 are calculated.

我们提出了简单解析表达式的推导，用于计算在环境温度下由黑体辐射 (BBR) 诱发的元素周期系统 IIb 族的Zn ⁺、Cd ⁺、Hg ⁺离子中具有小轨道角动量的里德堡态的宽度。100 到 3000 K。 激发态n S、n P、n D 和n的辐射跃迁概率计算所有偶极子可接近的离子状态的 F 状态。量子缺陷 (QD) 方法的波函数用于里德堡电子的初态和终态，用于计算束缚态之间跃迁的幅度。确定了诱导衰变和激发概率对 BBR 温度、里德堡离子的主量子数和轨道量子数的依赖性。推导出解析表达式用于热致衰变和激发的概率对里德堡能级宽度的贡献的数值估计。表示主量子数n幂的渐近展开的插值多项​​式系数的数值对于具有大n值和小轨道角动量l = 0, 1, 2, 3的里德堡态衰变和激发的相对概率被计算。