Radiative and Auger transitions of K-shell excited resonance states in boron-like sulfur ion

Sun Yan; Hu Feng; Sang Cui-Cui; Mei Mao-Fei; Liu Dong-Dong; Gou Bing-Cong

doi:10.7498/aps.68.20190481

Abstract

Non-relativistic energy values and wave functions of the K-shell excited resonance states 1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L (L = S, P, D) in boron-like sulfur ion are calculated in the frame of multi-configuration saddle-point variation method. The electron correlation effects are considered by the expansion of configuration wave function. The wave functions are constructed and optimized by the orbital-spin angular momentum partial waves selected based on the rule of configuration interaction. To saturate the wave functional space and to improve the non-relativistic energy, the restricted variational method is used to calculate the restricted variational energy. Then, the mass polarization effect and relativistic correction are calculated by the perturbation theory. The quantum electrodynamics (QED) effect and higher-order relativistic correction are considered by the screened hydrogenic formula. Furthermore, the energy shift originating from the interaction between closed channel and open channel is also calculated. Finally, the accurate relativistic energy levels for these resonance states are obtained by adding the non-relativistic energy and all corrections.Using the optimized wave functions, the line strengths, oscillator strengths, radiative transition rates and transition wavelengths of electric-dipole transitions for the K-shell excited resonance states in boron-like sulfur ion are systematically calculated. In this work, the oscillator strengths and transition rates are given in the length, velocity, and acceleration gauges. The good agreement among the three gauges reflects that the calculated wave functions are reasonably accurate. The calculated radiative transition rates and transition wavelengths are compared with other theoretical data. Good agreement is obtained except the transition: 1s2s(³S)2p³ ²P^o→1s2²s2p^{2 2}D. The deviation between our theoretical result and the MCDF theoretical value is about 46%, which needs further verifying. The Auger rates, Auger branching ratios, and Auger electron energy values of the important decay channels of the K-shell excited states are calculated by the saddle-point complex-rotation method. The calculated Auger rates and Auger electron energy values are also in good agreement with the corresponding reference data. For some K-shell states, the related energy levels and Auger branching ratios are reported for the first time. The present calculations results will provide valuable theoretical data for the calibration of spectral lines and Auger electron spectra in the relevant experiments.

Keywords:

Authors and contacts

1.
School of Mathematic and Physical Science, Xuzhou University of Technology, Xuzhou 221018, China
2.
College of Science, Lanzhou University of Technology, Lanzhou 730050, China
3.
School of Physics, Beijing institute of Technology, Beijing 100081, China

Corresponding author: Sun Yan, suenyangu@163.com

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11604284, 51506184), the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 17KJB140025), and Sun Yan is supported by the Qinlan Project of Jiangsu Province, China.

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References

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图 1 本文计算的电偶极跃迁振子强度的长度规范值分别与速度规范值及加速度规范值的对比

Figure 1. Comparison diagram of the calculated electrical dipole transition oscillator strength values in length gauge with the velocity gauge and acceleration gauge.

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图 2 本文计算的长度规范的电偶极辐射跃迁率与MCDF理论计算的跃迁率的对比

Figure 2. Comparison diagram of calculated radiative transition rates in length gauge with the theoretical data from MCDF calculations.

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表 1 类硼S离子K壳层激发共振态1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L (L = S, P, D)的权重中心能级(单位a.u.), 能量转化关系:1 a.u = 27.21138 eV

Table 1. Center of gravity levels of 1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L (L = S, P, D) of K-shell excited resonance states in boron-like sulfur ion (unit: a.u.). The energy conversion relationship: 1 a.u = 27.21138 eV.

共振态	${E_{{\rm{nonrel}}}}/{\rm{a.u.}}$			${E_{{\rm{total}}}}/{\rm{a.u.}}$	$ - {E_{{\rm{total}}}}/{\rm{eV}}$
共振态	${E_{\rm{b}}} + \Delta {E_{{\rm{RV}}}}$	$\Delta {E_{{\rm{corr}}}}$	$\Delta {E_{\rm{S}}}$	${E_{{\rm{total}}}}/{\rm{a.u.}}$	本文	SCUNC[21]
1s2s²2p^{2 4}P	–229.35389	–0.64011	–0.00245	–229.99645	6258.52
1s2s²2p^{2 2}S	–228.66774	–0.66777	–0.00174	–229.33725	6240.58
1s2s²2p^{2 2}P	–228.81110	–0.66633	–0.00089	–229.47832	6244.42
1s2s²2p^{2 2}D	–228.91613	–0.67942	0.00322	–229.59233	6247.52
1s2s(³S)2p^{3 4}S^o	–227.40768	–0.60823	0.00018	–228.01573	6204.62
1s2s(¹S)2p^{3 4}S^o	–228.21123	–0.62298	0.00151	–228.83270	6226.85
1s2s(³S)2p^{3 4}P^o	–228.00558	–0.62215	0.00106	–228.62667	6221.25
1s2s(³S)2p^{3 4}D^o	–228.30315	–0.62288	–0.00017	–228.92620	6229.40
1s2s(³S)2p^{3 2}S^o	–226.86291	–0.62586	0.00070	–227.48807	6190.26
1s2s(³S)2p^{3 2}P^o	–226.91669	–0.61114	0.00193	–227.52590	6191.29
1s2s(¹S)2p^{3 2}P^o	–227.28245	–0.61646	0.00620	–227.89271	6201.28
1s2s(³S)2p^{3 2}D^o	–227.21472	–0.61330	0.00204	–227.82598	6199.46
1s2s(¹S)2p^{3 2}D^o	–227.56290	–0.62041	0.00280	–228.18051	6209.11
1s2p^{4 4}P	–226.53817	–0.55727	–0.00249	–227.09793	6179.65	6173.07
1s2p^{4 2}S	–225.47488	–0.56220	0.00072	–226.03636	6150.76	6145.67
1s2p^{4 2}P	–225.94003	–0.56493	0.00251	–226.50245	6163.44	6159.02
1s2p^{4 2}D	–226.07283	–0.56074	0.00279	–226.63078	6166.94	6163.51

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表 2 S¹¹⁺离子K壳层激发共振态, S¹¹⁺, S¹²⁺离子低位激发态的精细结构能级($ - E$, 单位eV)

Table 2. Fine-structure energy levels of the K-shell excited resonance states in S¹¹⁺ ion, and low-excited states in S¹¹⁺, S¹²⁺ ion ($ - E$, unit eV).

偶宇称			奇宇称
S¹¹⁺离子K壳层激发态共振态
共振态	本文	文献[19]	共振态	本文	文献[19]
1s2s²2p^{2 4}P_1/2	6259.50	6265.62	1s2s(³S)2p^{3 4}S_3/2	6204.62	6207.16
1s2s²2p^{2 4}P_3/2	6258.83	6264.85	1s2s(¹S)2p^{3 4}S_3/2	6226.85	6229.68
1s2s²2p^{2 4}P_5/2	6257.99	6264.05	1s2s(³S)2p^{3 4}P_1/2	6221.05	6223.62
1s2s²2p^{2 2}S_1/2	6240.58	6243.03	1s2s(³S)2p^{3 4}P_3/2	6221.24	6223.52
1s2s²2p^{2 2}P_1/2	6245.72	6248.94	1s2s(³S)2p^{3 4}P_5/2	6221.32	6223.54
1s2s²2p^{2 2}P_3/2	6243.77	6247.23	1s2s(³S)2p^{3 4}D_1/2	6229.21	6231.96
1s2s²2p^{2 2}D_3/2	6247.38	6251.29	1s2s(³S)2p^{3 4}D_3/2	6229.21	6232.01
1s2s²2p^{2 2}D_5/2	6247.62	6251.38	1s2s(³S)2p^{3 4}D_5/2	6229.30	6232.00
1s2p^{4 4}P_1/2	6178.53	6180.77	1s2s(³S)2p^{3 4}D_7/2	6229.61	6231.85
1s2p^{4 4}P_3/2	6179.12	6181.26	1s2s(³S)2p^{3 2}S_1/2	6190.26	6192.27
1s2p^{4 4}P_5/2	6180.37	6182.44	1s2s(³S)2p^{3 2}P_1/2	6191.17	6193.98
1s2p^{4 2}S_1/2	6150.76	6152.75	1s2s(³S)2p^{3 2}P_3/2	6191.36	6193.65
1s2p^{4 2}P_1/2	6163.28	6165.34	1s2s(¹S)2p^{3 2}P_1/2	6201.72	6204.18
1s2p^{4 2}P_3/2	6163.52	6166.42	1s2s(¹S)2p^{3 2}P_3/2	6201.05	6206.82
1s2p^{4 2}D_3/2	6166.83	6169.56	1s2s(³S)2p^{3 2}D_3/2	6199.29	6199.03
1s2p^{4 2}D_5/2	6167.00	6169.69	1s2s(³S)2p^{3 2}D_5/2	6199.57	6202.14
			1s2s(¹S)2p^{3 2}D_3/2	6209.23	6212.93
			1s2s(¹S)2p^{3 2}D_5/2	6209.03	6212.33
S¹¹⁺离子低位激发态
激发态	本文	NIST[31]	激发态	本文	NIST[31]
1s²2s2p^{2 4}P_1/2	8617.38	8617.29	1s²2s²2p ²P_1/2	8641.58	8641.33
1s²2s2p^{2 4}P_3/2	8616.83	8616.70	1s²2s²2p ²P_3/2	8639.78	8639.70
1s²2s2p^{2 4}P_5/2	8615.98	8615.86	1s²2p^{3 4}S_3/2	8565.71	8565.69
1s²2s2p^{2 2}S_1/2	8586.78	8586.83	1s²2p^{3 2}P_1/2	8545.44	8545.36
1s²2s2p^{2 2}P_1/2	8584.06	8583.71	1s²2p^{3 2}P_3/2	8545.42	8545.14
1s²2s2p^{2 2}P_3/2	8582.99	8582.88	1s²2p^{3 2}D_3/2	8555.97	8555.79
1s²2s2p^{2 2}D_3/2	8598.49	8598.35	1s²2p^{3 2}D_5/2	8555.74	8555.72
1s²2s2p^{2 2}D_5/2	8598.39	8598.31
S¹²⁺离子低位激发态
激发态	本文	NIST[31]	激发态	本文	NIST[31]
1s²2s^{2 1}S₀	8076.99	8076.93	1s²2s2p ¹P₁	8028.74	8028.63
1s²2p^{2 1}S₀	7987.61	7987.44	1s²2s2p ³P₀	8052.36	8052.23
1s²2p^{2 1}D₂	8004.12	8003.85	1s²2s2p ³P₁	8051.81	8051.70
1s²2p^{2 3}P₀	8012.11	8012.06	1s²2s2p ³P₂	8050.64	8050.50
1s²2p^{2 3}P₁	8011.53	8011.37
1s²2p^{2 3}P₂	8010.43	8010.37

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表 3 类硼S离子的K壳层激发共振态1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L(L = S, P, D)的电偶极辐射跃迁线强度S (a.u.)、辐射跃迁率${A_{ik}}$(s^–1) (长度规范${A_{\rm{l}}}$, 速度规范${A_{\rm{v}}}$, 加速度规范${A_{\rm{a}}}$), 跃迁振子强度${f_{ki}}$(长度规范${f_{\rm{l}}}$, 速度规范${f_{\rm{v}}}$, 加速度规范${f_{\rm{a}}}$), 和跃迁波长$\lambda $(Å), 方括号的数代表10的幂次方

Table 3. Line strengths S (a.u.), radiative transition probabilities ${A_{ik}}$ (length gauge ${A_{\rm{l}}}$, velocity gauge${A_{\rm{v}}}$, acceleration gauge ${A_{\rm{a}}}$) (s^–1), transition oscillator strengths ${f_{ki}}$ (length gauge ${f_{\rm{l}}}$, velocity gauge ${f_{\rm{v}}}$, and acceleration gauge ${f_{\rm{a}}}$), and transition wavelengths $\lambda $ (Å) of electric dipole transitions of the K-shell excited resonance states 1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L (L = S, P, D) in boron-like sulfur ion. The numbers in square brackets represent the power of 10.

初态	末态	S/a.u.	${A_{ik}}/{\rm{s}}^{-1}$				${f_{ki}}$			λ/Å
初态	末态	S/a.u.	${A_{\rm{l}}}$	${A_{\rm{v}}}$	${A_{\rm{a}}}$	文献[17]	${f_{\rm{l}}}$	${f_{\rm{v}}}$	${f_{\rm{a}}}$	本文	文献[17]	文献[21]
1s2s²2p^{2 4}P	1s²2p^{3 4}S^o	5.06[–4]	5.48[11]	5.32[11]	5.31[11]	5.09[11]	7.14[–3]	6.94[–3]	6.92[–3]	5.374	5.379
1s2p^{4 4}P	1s²2p^{3 4}S^o	2.14[–2]	2.55[13]	2.65[13]	2.67[13]	2.57[13]	3.12[–1]	3.23 [–1]	3.26[–1]	5.196	5.193	5.203
1s2s²2p^{2 2}S	1s²2s²2p ²P^o	3.81[–3]	2.78[13]	2.82[13]	2.80[13]	2.93[13]	3.72[–2]	3.78[–2]	3.76[–2]	5.166	5.176	5.167
	1s²2p^{3 2}P^o	1.78[–4]	1.15[12]	1.15[12]	1.02[12]	9.87[11]	1.68[–3]	1.67[–3]	1.48[–3]	5.379	5.383
1s2s²2p^{2 2}P	1s²2s²2p ²P^o	3.26[–2]	7.88[13]	7.87[13]	7.84[13]	7.53[13]	3.18[–1]	3.18[–1]	3.17[–1]	5.175	5.176
	1s²2p^{3 2}P^o	1.80[–4]	3.87[11]	3.88[11]	3.99[12]	3.20[11]	1.69[–3]	1.69[–3]	1.74[–3]	5.388	5.392
	1s²2p^{3 2}D^o	6.30[–4]	1.37[12]	1.39[12]	1.40[12]	1.23[12]	3.56[–3]	3.61[–3]	3.64[–3]	5.364	5.368
1s2s²2p^{2 2}D	1s²2s²2p²P^o	1.92[–2]	2.77[13]	2.67[13]	2.64[13]	2.71[13]	1.87[–1]	1.80[–1]	1.78[–1]	5.181	5.183
	1s²2p^{3 2}P^o	1.01[–4]	1.29[11]	1.28[11]	1.45[11]	1.35[11]	9.43[–4]	9.34[–4]	1.06[–3]	5.396	5.401
	1s²2p^{3 2}D^o	3.68[–4]	7.98[11]	8.18[11]	8.25[11]	7.74[11]	3.46[–3]	3.55[–3]	3.59[–3]	5.371	5.375
1s2p^{4 2}S	1s²2p^{3 2}P^o	7.14[–3]	5.17[13]	5.26[13]	5.28[13]	5.13[13]	6.96[–2]	7.08[–2]	7.11[–2]	5.178	5.175	5.191
1s2p^{4 2}P	1s²2p^{3 2}P^o	1.75[–2]	4.17[13]	4.26[13]	4.26[13]	3.97[13]	1.70[–1]	1.74[–1]	1.73[–1]	5.205	5.205	5.217
	1s²2p^{3 2}D^o	2.89[–2]	6.97[13]	6.80[13]	6.71[13]	6.17[13]	1.69[–1]	1.65[–1]	1.63[–1]	5.182	5.182	5.191
1s2p^{4 2}D	1s²2s²2p²P^o	2.58[–4]	4.09[11]	4.42[11]	4.14[11]		2.59[–3]	2.80[–3]	2.62[–3]	5.013
	1s²2p^{3 2}P^o	9.20[–3]	1.30[13]	1.32[13]	1.33[13]	1.32[13]	8.91[–2]	9.04[–2]	9.11[–2]	5.213	5.212	5.220
	1s²2p^{3 2}D^o	2.74[–2]	3.93[13]	4.10[13]	4.13[13]	4.02[13]	1.60[–1]	1.67[–1]	1.68[–1]	5.190	5.189	5.198
1s2s(¹S)2p^{3 4}S^o	1s²2s2p^{2 4}P	3.08[–2]	1.11[14]	1.09[14]	1.09[14]	1.09[14]	1.50[–1]	1.48[–1]	1.47[–1]	5.188	5.189
1s2s(³S)2p^{3 4}S^o	1s²2s2p^{2 4}P	7.57[–4]	2.80[12]	2.90[12]	2.99[12]	2.28[12]	3.72[–3]	3.85[–3]	3.97[–3]	5.141	5.135
1s2s(³S)2p^{3 4}P^o	1s²2s2p^{2 4}P	2.33[–2]	2.81[13]	2.79[13]	2.80[13]	2.67[13]	1.14[–1]	1.13[–1]	1.13 [–1]	5.176	5.174
1s2s(³S)2p^{3 4}D^o	1s²2s2p^{2 4}P	3.89[–2]	2.79[13]	2.78[13]	2.77[13]	2.63[13]	1.89[–1]	1.88[–1]	1.88[–1]	5.194	5.192
1s2s(³S)2p^{3 2}S^o	1s²2s2p^{2 2}P	1.57[–2]	1.13[14]	1.13[14]	1.13[14]	8.54[13]	1.53[–1]	1.52[–1]	1.52[–1]	5.181	5.180
1s2s(¹S)2p^{3 2}P^o	1s²2s2p^{2 2}P	1.05[–3]	2.50[12]	2.78[12]	2.74[12]	2.53[12]	1.02[–2]	1.13[–2]	1.12[–2]	5.205	5.208
	1s²2s2p^{2 2}D	1.71[–2]	4.14[13]	4.17[13]	4.14[13]	3.92[13]	1.00[–1]	1.01[–1]	1.00[–1]	5.172	5.173
1s2s(³S)2p^{3 2}P^o	1s²2s2p^{2 2}S	1.59[–3]	3.85[12]	3.93[12]	3.50[12]	3.55[12]	4.66[–2]	4.76[–2]	4.24[–2]	5.176	5.174
	1s²2s2p^{2 2}P	1.00[–2]	2.42[13]	2.42[13]	2.30[13]	3.01[13]	9.79[–2]	9.79[–2]	9.31[–2]	5.183	5.183
	1s²2s2p^{2 2}D	2.01[–3]	4.95[12]	4.92[12]	5.19[12]	3.38[12]	1.18[–2]	1.19[–2]	1.25[–2]	5.151	5.149
1s2s(¹S)2p^{3 2}D^o	1s²2s2p^{2 2}P	1.85[–3]	2.60[12]	2.64[12]	2.64[12]	2.19[12]	1.79[–2]	1.81[–2]	1.81[–2]	5.222	5.225
	1s²2s2p^{2 2}D	5.21[–2]	7.49[13]	7.54[13]	7.55[13]	7.13[13]	3.04[–1]	3.06[–1]	3.07[–1]	5.189	5.191
1s2s(³S)2p^{3 2}D^o	1s²2s2p^{2 2}P	1.70[–2]	2.43[13]	2.49[13]	2.50[13]	2.40[13]	1.65[–1]	1.69[–1]	1.70[–1]	5.201	5.201
	1s²2s2p^{2 2}D	5.16[–3]	7.51[12]	7.72[12]	7.83[12]	7.84[12]	3.02[–2]	3.11[–2]	3.15[–2]	5.168	5.166

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表 4 类硼S离子K壳层激发态1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L(L = S, P, D)的俄歇跃迁率(s^–1) 和俄歇分支率(BR), 方括号的数表示10的幂次方

Table 4. The Auger rates (s^–1) and branching ratios (BR) of the K-shell excited resonance states 1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L (L=S, P, D) in boron-like sulfur ion. The numbers in square brackets represent the power of 10.

俄歇跃迁通道		俄歇跃迁率/s^–1		BR/%	俄歇跃迁通道		俄歇跃迁率/s^–1		BR(%)
俄歇跃迁通道		本文	文献[17]	BR/%	俄歇跃迁通道		本文	文献[17]	BR(%)
1s2s²2p²	²S →1s²2s^{2 1}S	5.05[13]	8.33[13]	23.3	1s2s(¹S)2p³	²P^o→1s²2s^{2 1}S	6.63[11]	2.33[11]	0.3
	²S →1s²2s2p ¹P^o	6.35[13]	6.02[13]	29.3		²P^o→1s²2s2p ¹P^o	1.18[12]	1.46[13]	0.5
	²S →1s²2s2p ³P^o	1.61[13]	2.06[13]	7.4		²P^o→1s²2s2p ³P^o	1.29[14]	1.22[14]	59.6
	²S →1s²2p^{2 1}S	7.10[13]	7.85[13]	32.8		²P^o→1s²2p^{2 1}S	6.50[12]	5.20[12]	3.0
	²S →1s²2p^{2 1}D	1.53[13]	1.48[13]	7.1		²P^o→1s²2p^{2 1}D	5.25[12]	9.54[12]	2.4
	²P→1s²2s2p ¹P^o	1.82[13]	2.55[13]	14.7		²P^o→1s²2p^{2 3}P	7.40[13]	7.54[13]	34.2
	²P→1s²2s2p ³P^o	1.05[13]	7.34[12]	8.5		²D^o→1s²2s2p ¹P^o	7.30[12]	8.82[12]	2.8
	²P→1s²2p^{2 1}D₂	1.97[10]	7.42[12]	0		²D^o→1s²2s2p ³P^o	1.74[14]	1.74[14]	66.1
	²P→1s²2p^{2 3}P	9.50[13]	8.68[13]	76.8		²D^o→1s²2p^{2 1}D	9.55[12]	1.40[13]	3.6
	²D→1s²2s^{2 1}S	1.24[14]	1.14[14]	40.3		²D^o→1s²2p^{2 3}P	7.25[13]	7.66[13]	27.5
	²D→1s²2s2p ¹P^o	6.80[13]	6.42[13]	22.1		⁴S^o→1s²2p^{2 3}P	3.85[13]	3.88[13]	100
	²D→1s²2s2p ³P^o	1.72[13]	2.26[13]	5.6	1s2s(³S)2p³	²S^o→1s²2p^{2 3}P	6.55[13]	4.35[13]	100
	²D→1s²2p^{2 1}S	3.43[12]	2.82[12]	1.1		²P^o→1s²2s^{2 1}S	4.33[12]	2.67[12]	1.6
	²D→1s²2p^{2 1}D	9.15[13]	9.22[13]	29.8		²P^o→1s²2s2p ¹P^o	1.28[14]	1.18[14]	46.9
	²D→1s²2p^{2 3}P	3.37[12]	4.47[12]	1.1		²P^o→1s²2s2p ³P^o	5.40[12]	7.38[12]	2.0
	⁴P→1s²2s2p ³P^o	1.10[14]	1.18[14]	54.3		²P^o→1s²2p^{2 1}S	4.54[13]	4.68[13]	16.6
	⁴P→1s²2p^{2 3}P	9.25[13]	9.48[13]	45.7		²P^o→1s²2p^{2 1}D	6.40[13]	6.23[13]	23.4
1s2p⁴	²S →1s²2s^{2 1}S	2.75[12]	3.04[11]	0.6		²P^o→1s²2p^{2 3}P	2.58[13]	3.47[13]	9.5
	²S →1s²2s2p ¹P^o	4.15[12]	4.73[12]	1.0		²D^o→1s²2s2p ¹P^o	1.76[14]	1.71[14]	54.5
	²S →1s²2s2p ³P^o	8.57[11]	1.48[12]	0.2		²D^o→1s²2s2p ³P^o	6.85[12]	1.16[13]	2.1
	²S →1s²2p^{2 1}S	2.43[14]	3.66[13]	56.3		²D^o→1s²2p^{2 1}D	1.18[14]	1.19[14]	36.5
	²S →1s²2p^{2 1}D	1.81[14]	1.87[14]	41.9		²D^o→1s²2p^{2 3}P	2.22[13]	1.99[13]	6.9
	²P→1s²2s2p ¹P^o	2.73[11]	5.19[11]	0.1		⁴S^o →1s²2p^{2 3}P	1.92[14]	2.02[14]	100
	²P→1s²2s2p ³P^o	2.38[11]	1.86[11]	0.1		⁴P^o→1s²2s2p³P^o	1.35[14]	1.38[14]	88.9
	²P→1s²2p^{2 1}D₂	6.95[10]	2.06[13]	0		⁴P^o→1s²2p^{2 3}P	1.68[13]	1.45[13]	11.1
	²P→1s²2p^{2 3}P	2.15[14]	1.90[14]	99.8		⁴D^o→1s²2s2p³P^o	1.84[14]	1.84[14]	90.4
	²D→1s²2s^{2 1}S	2.95[12]	7.35[9]	1.0		⁴D^o→1s²2p^{2 3}P	1.96[13]	1.41[13]	9.6
	²D→1s²2s2p ¹P^o	1.35[12]	1.38[12]	0.5
	²D→1s²2s2p ³P^o	2.73[11]	4.54[11]	0.1
	²D→1s²2p^{2 1}S	1.25[13]	4.09[13]	4.2
	²D→1s²2p^{2 1}D	2.68[14]	2.74[14]	90.6
	²D→1s²2p^{2 3}P	1.05[13]	1.26[13]	3.6
	⁴P→1s²2s2p ³P^o	1.96[12]	2.50[12]	0.9
	⁴P→1s²2p^{2 3}P	2.08[14]	2.09[14]	99.1

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表 5 类硼S离子K壳层激发态1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L(L = S, P, D)的俄歇电子能量(单位: eV)

Table 5. The Auger electron energies of the K-shell excited resonance states 1s2s²2p², 1s2s2p³, 1s2p^{4 2, 4}L (L = S, P, D) in boron-like sulfur ion (unit: eV).

跃迁通道		本文	文献[17]	跃迁通道		本文	文献[17]
1s2s²2p^{2 2}S_1/2	1s²2s^{2 1}S₀	1836.41	1837.80	1s2s(³S)2p^{3 2}S_1/2	1s²2p^{2 3}P₀	1821.85	1825.18
	1s²2s2p ¹P₁	1788.16	1787.75		1s²2p^{2 3}P₁	1821.27	1824.50
	1s²2s2p ³P₀	1811.78	1812.97		1s²2p^{2 3}P₂	1820.17	1823.49
	1s²2s2p ³P₁	1811.23	1812.44	1s2s(³S)2p^{3 2}P_1/2	1s²2s^{2 1}S₀	1885.82	1888.35
	1s²2s2p ³P₂	1810.06	1811.23		1s²2s2p ¹P₀	1837.57	1838.30
	1s²2p^{2 1}S₀	1747.03	1746.35		1s²2s2p ³P₁	1861.19	1863.52
	1s²2p^{2 1}D₂	1763.54	1763.33		1s²2s2p ³P₂	1860.64	1862.99
1s2s²2p^{2 2}P_1/2	1s²2s2p ¹P₁	1783.02	1782.25		1s²2s2p ³P₃	1859.47	1861.78
	1s²2s2p ³P₀	1806.64	1807.47		1s²2p^{2 1}S₀	1796.44	1796.90
	1s²2s2p ³P₁	1806.09	1806.94		1s²2p^{2 1}D₂	1812.95	1813.88
	1s²2s2p ³P₂	1804.92	1805.74		1s²2p^{2 3}P₀	1820.94	1823.09
	1s²2p^{2 1}D₂	1758.40	1757.84		1s²2p^{2 3}P₁	1820.36	1822.41
	1s²2p^{2 3}P₀	1766.39	1767.05		1s²2p^{2 3}P₂	1819.26	1821.40
	1s²2p^{2 3}P₁	1765.81	1766.37	1s2s(³S)2p^{3 2}P_3/2	1s²2s^{2 1}S₀	1885.63	1888.87
	1s²2p^{2 3}P₂	1764.71	1765.36		1s²2s2p ¹P₀	1837.38	1838.83
1s2s²2p^{2 2}P_3/2	1s²2s2p ¹P₁	1784.97	1784.03		1s²2s2p ³P₁	1861.00	1864.05
	1s²2s2p ³P₀	1808.59	1809.25		1s²2s2p ³P₂	1860.45	1863.51
	1s²2s2p ³P₁	1808.04	1808.72		1s²2s2p ³P₃	1859.28	1862.31
	1s²2s2p ³P₂	1806.87	1807.52		1s²2p^{2 1}S₀	1796.25	1797.43
	1s²2p^{2 1}D₂	1760.35	1759.62		1s²2p^{2 1}D₂	1812.76	1814.41
	1s²2p^{2 3}P₀	1768.34	1768.83		1s²2p^{2 3}P₀	1820.75	1823.62
	1s²2p^{2 3}P₁	1767.76	1768.15		1s²2p^{2 3}P₁	1820.17	1822.94
	1s²2p^{2 3}P₂	1766.66	1767.14		1s²2p^{2 3}P₂	1819.07	1821.93
1s2s²2p^{2 2}D_3/2	1s²2s^{2 1}S₀	1829.61	1830.38	1s2s(¹S)2p^{3 2}P_1/2	1s²2s^{2 1}S₀	1875.27	1877.33
	1s²2s2p ¹P₁	1781.36	1780.34		1s²2s2p ¹P₀	1827.02	1827.28
	1s²2s2p ³P₀	1804.98	1805.56		1s²2s2p ³P₁	1850.64	1852.50
	1s²2s2p ³P₁	1804.43	1805.02		1s²2s2p ³P₂	1850.09	1851.97
	1s²2s2p ³P₂	1803.26	1803.82		1s²2s2p ³P₃	1848.92	1850.77
	1s²2p^{2 1}S₀	1740.23	1738.94		1s²2p^{2 1}S₀	1785.89	1785.88
	1s²2p^{2 1}D₂	1756.74	1755.92		1s²2p^{2 1}D₂	1802.40	1802.87
	1s²2p^{2 3}P₀	1764.73	1765.13		1s²2p^{2 3}P₀	1810.39	1812.08
	1s²2p^{2 3}P₁	1764.15	1764.45		1s²2p^{2 3}P₁	1809.81	1811.40
	1s²2p^{2 3}P₂	1763.05	1763.44		1s²2p^{2 3}P₂	1808.71	1810.39
1s2s²2p^{2 2}D_5/2	1s²2s^{2 1}S₀	1829.37	1830.33	1s2s(¹S)2p^{3 2}P_3/2	1s²2s^{2 1}S₀	1875.94	1877.26
	1s²2s2p ¹P₁	1781.12	1780.29		1s²2s2p ¹P₀	1827.69	1827.21
	1s²2s2p ³P₀	1804.74	1805.51		1s²2s2p ³P₁	1851.31	1852.43
	1s²2s2p ³P₁	1804.19	1804.97		1s²2s2p ³P₂	1850.76	1851.90
	1s²2s2p ³P₂	1803.02	1803.77		1s²2s2p ³P₃	1849.59	1850.70
	1s²2p^{2 1}S₀	1739.99	1738.89		1s²2p^{2 1}S₀	1786.56	1785.81
	1s²2p^{2 1}D₂	1756.50	1755.87		1s²2p^{2 1}D₂	1803.07	1802.80
	1s²2p^{2 3}P₀	1764.49	1765.08		1s²2p^{2 3}P₀	1811.06	1812.01
	1s²2p^{2 3}P₁	1763.91	1764.40		1s²2p^{2 3}P₁	1810.48	1811.33
	1s²2p^{2 3}P₂	1762.81	1763.39		1s²2p^{2 3}P₂	1809.38	1810.32
1s2p^{4 2}S_1/2	1s²2s^{2 1}S₀	1926.23	1930.57	1s2s(³S)2p^{3 2}D_3/2	1s²2s2p ¹P₀	1829.45	1831.14
	1s²2s2p ¹P₁	1877.98	1880.52		1s²2s2p ³P₀	1853.07	1856.36
	1s²2s2p ³P₀	1901.60	1905.75		1s²2s2p ³P₁	1852.52	1855.83
	1s²2s2p ³P₁	1901.05	1905.21		1s²2s2p ³P₂	1851.35	1854.62
	1s²2s2p ³P₂	1899.88	1904.01		1s²2p^{2 1}D₂	1804.83	1806.72
	1s²2p^{2 1}S₀	1836.85	1839.13		1s²2p^{2 3}P₀	1812.82	1815.93
	1s²2p^{2 1}D₂	1853.36	1856.11		1s²2p^{2 3}P₁	1812.24	1815.25
1s2p^{4 2}P_1/2	1s²2s2p ¹P₁	1865.46	1867.17		1s²2p^{2 3}P₂	1811.14	1814.24
	1s²2s2p ³P₀	1889.08	1892.39	1s2s(³S)2p^{3 2}D_5/2	1s²2s2p ¹P₀	1829.17	1830.60
	1s²2s2p ³P₁	1888.53	1891.86		1s²2s2p ³P₀	1852.79	1855.82
	1s²2s2p ³P₂	1887.36	1890.66		1s²2s2p ³P₁	1852.24	1855.28
	1s²2p^{2 1}D₂	1840.84	1842.76		1s²2s2p ³P₂	1851.07	1854.08
	1s²2p^{2 3}P₀	1848.83	1851.97		1s²2p^{2 1}D₂	1804.55	1806.18
	1s²2p^{2 3}P₁	1848.25	1851.29		1s²2p^{2 3}P₀	1812.54	1815.39
	1s²2p^{2 3}P₂	1847.15	1850.28		1s²2p^{2 3}P₁	1811.96	1814.71
1s2p^{4 2}P_3/2	1s²2s2p ¹P₁	1865.22	1866.27		1s²2p^{2 3}P₂	1810.86	1813.70
	1s²2s2p ³P₀	1888.84	1891.50	1s2s(¹S)2p^{3 2}D_3/2	1s²2s2p ¹P₀	1819.51	1819.23
	1s²2s2p ³P₁	1888.29	1890.96		1s²2s2p ³P₀	1843.13	1844.45
	1s²2s2p ³P₂	1887.12	1889.76		1s²2s2p ³P₁	1842.58	1843.92
	1s²2p^{2 1}D₂	1840.60	1841.86		1s²2s2p ³P₂	1841.41	1842.71
	1s²2p^{2 3}P₀	1848.59	1851.07		1s²2p^{2 1}D₂	1794.89	1794.81
	1s²2p^{2 3}P₁	1848.01	1850.39		1s²2p^{2 3}P₀	1802.88	1804.02
	1s²2p^{2 3}P₂	1846.91	1849.38		1s²2p^{2 3}P₁	1802.30	1803.35
1s2p^{4 2}D_3/2	1s²2s^{2 1}S₀	1910.16	1913.47		1s²2p^{2 3}P₂	1801.20	1802.33
	1s²2s2p ¹P₁	1861.91	1863.42	1s2s(¹S)2p^{3 2}D_5/2	1s²2s2p ¹P₀	1819.71	1819.38
	1s²2s2p ³P₀	1885.53	1888.64		1s²2s2p ³P₀	1843.33	1844.60
	1s²2s2p ³P₁	1884.98	1888.11		1s²2s2p ³P₁	1842.78	1844.07
	1s²2s2p ³P₂	1883.81	1886.91		1s²2s2p ³P₂	1841.61	1842.86
	1s²2p^{2 1}S₀	1820.78	1822.02		1s²2p^{2 1}D₂	1795.09	1794.96
	1s²2p^{2 1}D₂	1837.29	1839.01		1s²2p^{2 3}P₀	1803.08	1804.17
	1s²2p^{2 3}P₀	1845.28	1848.22		1s²2p^{2 3}P₁	1802.50	1803.50
	1s²2p^{2 3}P₁	1844.70	1847.54		1s²2p^{2 3}P₂	1801.40	1802.49
	1s²2p^{2 3}P₂	1843.60	1846.53	1s2s(³S)2p^{3 4}S_3/2	1s²2p^{2 3}P₀	1807.49	1810.50
1s2p^{4 2}D_5/2	1s²2s^{2 1}S₀	1909.99	1913.40		1s²2p^{2 3}P₁	1806.91	1809.82
	1s²2s2p ¹P₁	1861.74	1863.35		1s²2p^{2 3}P₂	1805.81	1808.81
	1s²2s2p ³P₀	1885.36	1888.57	1s2s(¹S)2p^{3 4}S_3/2	1s²2p^{2 3}P₀	1785.26	1785.14
	1s²2s2p ³P₁	1884.81	1888.04		1s²2p^{2 3}P₁	1784.68	1784.46
	1s²2s2p ³P₂	1883.64	1886.84		1s²2p^{2 3}P₂	1783.58	1783.45
	1s²2p^{2 1}S₀	1820.61	1821.95	1s2s(³S)2p^{3 4}P_1/2	1s²2s2p³P₀	1831.31	1832.66
	1s²2p^{2 1}D₂	1837.12	1838.94		1s²2s2p³P₁	1830.76	1832.13
	1s²2p^{2 3}P₀	1845.11	1848.15		1s²2s2p³P₂	1829.59	1830.93
	1s²2p^{2 3}P₁	1844.53	1847.47		1s²2p^{2 3}P₀	1791.06	1792.24
	1s²2p^{2 3}P₂	1843.43	1846.46		1s²2p^{2 3}P₁	1790.48	1791.56
1s2s²2p^{2 4}P_1/2	1s²2s2p³P₀	1792.86	1791.05		1s²2p^{2 3}P₂	1789.38	1790.55
	1s²2s2p³P₁	1792.31	1790.51	1s2s(³S)2p^{3 4}P_3/2	1s²2s2p³P₀	1831.12	1832.56
	1s²2s2p³P₂	1791.14	1789.31		1s²2s2p³P₁	1830.57	1832.03
	1s²2p^{2 3}P₀	1752.61	1750.62		1s²2s2p³P₂	1829.40	1830.83
	1s²2p^{2 3}P₁	1752.03	1749.94		1s²2p^{2 3}P₀	1790.87	1792.14
	1s²2p^{2 3}P₂	1750.93	1748.93		1s²2p^{2 3}P₁	1790.29	1791.46
1s2s²2p^{2 4}P_3/2	1s²2s2p³P₀	1793.53	1791.83		1s²2p^{2 3}P₂	1789.19	1790.45
	1s²2s2p³P₁	1792.98	1791.30	1s2s(³S)2p^{3 4}P_5/2	1s²2s2p³P₀	1831.04	1832.48
	1s²2s2p³P₂	1791.81	1790.09		1s²2s2p³P₁	1830.49	1831.95
	1s²2p^{2 3}P₀	1753.28	1751.40		1s²2s2p³P₂	1829.32	1830.75
	1s²2p^{2 3}P₁	1752.70	1750.72		1s²2p^{2 3}P₀	1790.79	1792.06
	1s²2p^{2 3}P₂	1751.60	1749.71		1s²2p^{2 3}P₁	1790.21	1791.38
1s2s²2p^{2 4}P_5/2	1s²2s2p³P₀	1794.37	1792.66		1s²2p^{2 3}P₂	1789.11	1790.37
	1s²2s2p³P₁	1793.82	1792.13	1s2s(³S)2p^{3 4}D_1/2	1s²2s2p³P₀	1823.15	1824.54
	1s²2s2p³P₂	1792.65	1790.92		1s²2s2p³P₁	1822.60	1824.01
	1s²2p^{2 3}P₀	1754.12	1752.23		1s²2s2p³P₂	1821.43	1822.80
	1s²2p^{2 3}P₁	1753.54	1751.55		1s²2p^{2 3}P₀	1782.90	1784.11
	1s²2p^{2 3}P₂	1752.44	1750.54		1s²2p^{2 3}P₁	1782.32	1783.43
1s2p^{4 4}P_1/2	1s²2s2p³P₀	1873.83	1876.31		1s²2p^{2 3}P₂	1781.22	1782.42
	1s²2s2p³P₁	1873.28	1875.78	1s2s(³S)2p^{3 4}D_3/2	1s²2s2p³P₀	1823.15	1824.49
	1s²2s2p³P₂	1872.11	1874.57		1s²2s2p³P₁	1822.60	1823.96
	1s²2p^{2 3}P₀	1833.58	1835.88		1s²2s2p³P₂	1821.43	1822.75
	1s²2p^{2 3}P₁	1833.00	1835.20		1s²2p^{2 3}P₀	1782.90	1784.06
	1s²2p^{2 3}P₂	1831.90	1834.19		1s²2p^{2 3}P₁	1782.32	1783.39
1s2p^{4 4}P_3/2	1s²2s2p³P₀	1873.24	1875.77		1s²2p^{2 3}P₂	1781.22	1782.38
	1s²2s2p³P₁	1872.69	1875.24	1s2s(³S)2p^{3 4}D_5/2	1s²2s2p³P₀	1823.06	1824.41
	1s²2s2p³P₂	1871.52	1874.03		1s²2s2p³P₁	1822.51	1823.88
	1s²2p^{2 3}P₀	1832.99	1835.34		1s²2s2p³P₂	1821.34	1822.67
	1s²2p^{2 3}P₁	1832.41	1834.66		1s²2p^{2 3}P₀	1782.81	1783.98
	1s²2p^{2 3}P₂	1831.31	1833.65		1s²2p^{2 3}P₁	1782.23	1783.30
1s2p^{4 4}P_5/2	1s²2s2p³P₀	1871.99	1874.50		1s²2p^{2 3}P₂	1781.13	1782.29
	1s²2s2p³P₁	1871.44	1873.96	1s2s(³S)2p^{3 4}D_7/2	1s²2s2p³P₁	1822.20	1823.70
	1s²2s2p³P₂	1870.27	1872.76		1s²2s2p³P₂	1821.03	1822.50
	1s²2p^{2 3}P₀	1831.74	1834.07		1s²2p^{2 3}P₁	1781.92	1783.13
	1s²2p^{2 3}P₁	1831.16	1833.39		1s²2p^{2 3}P₂	1780.82	1782.12
	1s²2p^{2 3}P₂	1830.06	1832.38

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