The natural widths, lifetimes, and fluorescence yields for the double $K$-shell hole states have been calculated for atoms with 10 $\le$ Z $\le$ 30. The Grasp2018 package was adopted to carry out a systematic computation of the $K^h{\alpha }_{1,2}$ and $K^h{\beta }_{1,3}$ radiative transition rates and Fac was used to calculate the $KK-KLL$, $KK-KLM$, and $KK-KMM$ non-radiative Auger transition rates. The dependence of the radiative and non-radiative rates on the existence of $3s$, $3p$, $3d$, or $4s$ spectator holes is studied.

中文翻译：

---

双倍的自然宽度，寿命和荧光产量 $ķ$原子的壳孔态为10 $\le$ ž $\le$ 30

双倍的自然宽度，寿命和荧光产量 $ķ$已为10个原子计算了-壳孔态 $\le$ ž $\le$30.通过了“ 2018年把握方案”一揽子计划，以系统地计算出${ķ}^H{\alpha }_{\mathrm{1个}，\mathrm{2个}}$ 和 ${ķ}^H{\beta }_{\mathrm{1个}，3}$辐射跃迁率和Fac用来计算$ķķ-ķ\mathrm{大号}\mathrm{大号}$， $ķķ-ķ\mathrm{大号}\mathrm{中号}$， 和 $ķķ-ķ\mathrm{中号}\mathrm{中号}$非辐射俄歇跃迁速率。辐射率和非辐射率对存在的依赖$3s$， $3p$， $3d$， 或者 $4s$ 观众洞被研究。