The pseudo-oscillator strength distribution for the Ga^{3 +} ion core

<b>Table 4.</b> The pseudo-oscillator strength distribution for the Ga^{3 +} ion core. The dipole polarizability of the core was 1.24 au [21] while the quadrupole polarizability was 2.345 au [21]. <strong>Abstract</strong> The blackbody radiation shift of the Ga⁺4{\rm s}^2 \ ^1{\rm S}^{\rm e}_0 \rightarrow 4{\rm s}4{\rm p} \ ^3{\rm P}^{\rm o}_0 clock transition is computed to be −0.0140 ± 0.0062 Hz at 300 K. The small shift is consistent with the blackbody radiation shifts of the clock transitions of other group III ions which are of a similar size. The polarizabilities of the Ga⁺4{\rm s}^2 \ ^1{\rm S}^{\rm e}_0, 4{\rm s}4{\rm p} \ ^3{\rm P}^{\rm o}_0, and 4{\rm s}4{\rm p} \ ^1{\rm P}^{\rm o}_1 states were computed using the configuration interaction method with an underlying semi-empirical core potential. Quadrupole and non-adiabatic dipole polarizabilities were also computed. A byproduct of the analysis involved calculations of the low-lying spectrum and oscillator strengths, including polarizabilities, of the Ga^{2 +} ion.

表4。 Ga³+离子实的伪振子强度分布。该离子实的偶极极化率为1.24原子单位（atomic unit, au）[21]，四极极化率为2.345原子单位（au）[21]。
**摘要** 镓一价离子（Ga⁺）的4s² ¹S₀^e → 4s4p ³P₀^o 钟跃迁的黑体辐射频移经计算为300 K下的−0.0140 ± 0.0062 Hz。该频移量较小，与其他尺寸相近的第三主族离子的钟跃迁黑体辐射频移结果一致。本文采用基于半经验离子实势的组态相互作用（configuration interaction, CI）方法，计算了Ga⁺的4s² ¹S₀^e、4s4p ³P₀^o以及4s4p ¹P₁^o态的极化率，同时还计算了四极极化率与非绝热偶极极化率。本分析的一项附带成果为：完成了二价镓离子（Ga²+）的低能谱、振子强度（含极化率）的相关计算。