Electron impact excitation of H-like, He-like and Li-like ions with Z ≤ 30

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Talk given by KM Aggarwal at 3d CDAMOP, 14-16 December 2011, Delhi University, Delhi, India.

Transcript of Electron impact excitation of H-like, He-like and Li-like ions with Z ≤ 30

  • 1. ELECTRON IMPACT EXCITATION OF H-LIKE, He-LIKE and Li-LIKE IONS WITH Z 30 KANTI M. AGGARWALAstrophysics Research Centre Queens University BelfastBELFAST BT7 1NNNorthern Ireland, UK 15 December 2011

2. ATOMIC PARAMETERS ENERGY LEVELSEj Ei = hij = hc/ij RADIATIVE RATES (A, s1 ),OSCILLATOR STRENGTHS (f, dimensionless),LINE STRENGTHS (S, a.u.)mc2 jfi,j = 8 2 e2 ji i Aji = 1.49 1016 2 (j /i )Ajiij 2.02611018303.75E1: Aji =j 3S and fij =ji i S, ji 1.11991018E2: Aji = j 5 S and fij = 167.89 S, 3 i ji ji2.697410134.044103M1: Aji = j 3Sandfij = ji i S,ji1.49101013 fij = 2.23610 3M2: Aji = j 5Sand3 ji iS.ji is in .A LIFE-TIME j = 1Ajii COLLISION STRENGTHS (CROSS SECTIONS)ij (E) = ki 2 i ij (a0 2 ) 3. EFFECTIVE COLLISION STRENGTHS (RATE COEFFICIENTS)Ej /kTe(Te ) = 0 e d(Ej /kTe ) 8.63106 Eij /kTeqij =i Te 1/2 e ij cm3 /sqji = 8.6310 ij cm3 /s 6 T 1/2 j e LINE INTENSITY RATIO n LIji =Aji Nj NA,Z NA hji 1+NHe 4 ergs cm2 s1 sr1 I(ij )Aji mn NjR=I(mn )=Anm ij Nn 4. APPLICATIONS1. Astrophysical Plasmas (Te 50,000 K)2. Solar Plasmas (Te 106 K)3. Lasing Plasmas (Te 107 K)4. Fusion Plasmas (Te 108 K) 5. PROGRAMSStructure Codes:CIV3, SS, AS, MBPT, MCHF, MCDF, GRASP, FACScattering Codes:R-matrix: RM, BPRM, RMPS, DARCDW: UCL, HULLAC, FAC 6. Table 1. Energy levels (in Ryd) of Na XI.IndexConguration/Level NIST GRASP1 GRASP2FAC1 FAC22 1 1s S1/20.000000.000000.00000 0.000000.00000 2 2p 2Po 1/2 90.86686 90.88443 90.8691690.86789 90.867892 3 2s S1/2 90.86894 90.88443 90.8712290.86983 90.869832 o 4 2p P3/2 90.91589 90.93335 90.9181990.91692 90.916922 5 3s S1/2107.71206107.72938107.71475 107.71306107.713062 o 6 3p P1/2107.71144107.72938107.71414 107.71247107.712472 7 3d D3/2107.72595107.74387107.72865 107.72697107.726972 o 8 3p P3/2107.72597107.74387107.72868 107.72700107.727002 9 3d D5/2107.73078107.74870107.73347 107.73180107.731802 o10 4p P1/2113.60505113.62312113.60789 113.60608113.60608211 4s S1/2113.60531113.62312113.60815 113.60632113.60632212 4d D3/2113.61117113.62923113.61401 113.61220113.612202 o13 4p P3/2113.61118113.62923113.61402 113.61221113.61221214 4d D5/2113.61321113.63126113.61605 113.61423113.614232 o15 4f F5/2113.61320113.63126113.61605 113.61423113.614232 o16 4f F7/2113.61422113.63228113.61707 113.61525113.61525217 5s S1/2116.33223116.35023116.33514 116.33325116.333252 o18 5p P1/2116.33210116.35023116.33501 116.33313116.333132 o19 5p P3/2116.33524116.35336116.33814 116.33627116.33627220 5d D3/2116.33523116.35336116.33814 116.33626116.336262 o21 5f F5/2116.33627116.35440116.33918 116.33730116.33730222 5d D5/2116.33627116.35440116.33918 116.33730116.33730223 5g G7/2116.33679116.35492116.33970 116.33782116.337822 o24 5f F7/2116.33679116.35492116.33970 116.33782116.33782225 5g G9/2116.33710116.35523116.34001 116.33813116.33813NIST: http://physics.nist.gov/PhysRefDataGRASP1: Energies from the grasp code with 25 level calculations without Breit and QED eectsGRASP2: Energies from the grasp code with 25 level calculations with Breit and QED eectsFAC1: Energies from the fac code with 25 level calculationsFAC2: Energies from the fac code with 49 level calculations 7. Table 1. Energy levels (in Ryd) of Ca XIX. IndexConguration/LevelNIST GRASP1 GRASP2FAC1AS 11s2 1S0 0.0000 0.000000.000000.00000 0.000003 21s2sS1 283.7882 283.88812283.57452283.68921 284.11426 31s2p 3 Po0 285.3436 285.39578285.13821285.28061 285.59393 41s2p 3 Po1 285.4185 285.51672285.20807285.35190 285.71835 51s2s 1 S0285.4858 285.58511285.31180285.43976 285.81140 61s2p 3 Po2 285.7404 285.85834285.53394285.67554 286.06924 71s2p 1 Po1 286.8106 286.95300286.62332286.79581 287.20172 81s3s 3 S1335.9927 336.09799335.77313335.90472 336.34653 91s3p 3 Po0 336.4222 336.51401336.20422336.33923 336.75189101s3p 3 Po1 336.4422 336.54880336.22516336.36057 336.78650111s3s 1 S0336.4392 336.54910336.23611336.36319 336.78088121s3p 3 Po2 336.5387 336.65027336.32224336.45746 336.88831131s3d 3 D1 336.88208336.55698336.68375 337.12308141s3d 3 D2 336.88699336.55630336.68341 337.12848151s3d 3 D3 336.92514336.59476336.72141 337.16837161s3d 1 D2 336.93552336.60849336.73608 337.17984171s3p 1 Po1 336.8303 336.94742336.61896336.75745 337.18771181s4s 3 S1354.0334 354.14233353.81509353.93887 354.39084191s4p 3 Po0 354.2116 354.31351353.99234354.10986 354.55695201s4s 1 S0354.2143 354.32648354.00433354.12442 354.56329211s4p 3 Po1 354.2200 354.32803354.00119354.11896 354.57098221s4p 3 Po2 354.2608 354.37082354.04221354.16010 354.61301231s4d 3 D1 354.46585354.13852354.26810 354.70828241s4d 3 D2 354.46835354.13873354.26846 354.71097251s4d 3 D3 354.48404354.15448354.28387 354.72729261s4f 3 Fo2354.48959354.16129354.28183 354.73273271s4f 3 Fo3354.48965354.16022354.28073 354.73279281s4d 1 D2 354.48981354.16159354.29150 354.73358291s4p 1 Po1 354.3797 354.49289354.16425354.28232 354.73386301s4f 3 Fo4354.49866354.16934354.28983 354.74225311s4f 1 Fo3354.49872354.17023354.29071 354.74234321s5s 3 S1362.3324 362.44150362.11343362.23334 362.68939......... 1491s5g G4 362.62524362.29642362.41629 362.86871NIST: http://nist.gov/pml/data/asd.cfmGRASP1: Energies from the grasp code with 49 level calculations without Breit and QED eectsGRASP2: Energies from the grasp code with 49 level calculations with Breit and QED eectsFAC1: Energies from the fac code with 49 level calculationsAS: Energies from the as code with 49 level calculations 8. Table 1. Experimental and theoretical energy levels (in Ryd) for Ni XXVI.IndexCongurationLevel NIST GRASP1GRASP2 FAC BPRM 1 1s2 2s2 S1/2 0.00000 0.00000 0.000000.00000 0.00000 2 1s2 2p2 Po 1/2 3.89178 3.90376 3.905113.91952 3.88501 2 o 3 1s2 2pP 3/25.50927 5.57232 5.520655.53194 5.70100 4 1s2 3s2 S1/299.0201999.0793599.00668 99.0130799.15861 2 o 5 1s2 3pP 1/2100.09931 100.16271 100.09123100.09864 100.21990 2 o 6 1s2 3pP 3/2100.57828 100.65613 100.56940100.57562 100.75800 7 1s2 3d2 D3/2 100.98671 101.07256 100.97398100.97593 101.14600 8 1s2 3d2 D5/2 101.13798 101.22420 101.12491101.12655 101.31030 9 1s2 4s2 S 1/2133.13657 133.22189 133.13351133.12926 132.58530 2 o10 1s2 4pP 1/2133.58956 133.66806 133.58003133.57172 133.58981 2 o11 1s2 4pP 3/2133.79150 133.87576 133.78142133.77240 133.8243112 1s2 4d2 D3/2 133.96346 134.04854 133.94948133.95422 134.1630113 1s2 4d2 D5/2 134.02734 134.11261 134.01317134.01749 134.23280 2 o14 1s2 4fF 5/2134.12195 134.02229134.01509 134.23880 2 o15 1s2 4fF 7/2134.15372 134.05408134.04684 134.2732116 1s2 5s2 S1/2 148.80599 148.89410 148.80017148.79221 148.27220 2 o17 1s2 5pP 1/2149.03718 149.11978 149.02602149.01685 149.16661 2 o18 1s2 5pP 3/2149.14052 149.22594 149.12897149.11909 149.2831119 1s2 5d2 D3/2 149.22836 149.31369 149.21437149.21584 149.4147020 1s2 5d2 D5/2 149.26108 149.34651 149.24698149.24818 149.45050 2 o21 1s2 5fF 5/2149.35176 149.25212149.24463 149.45401 2 o22 1s2 5fF 7/2149.36804 149.26840149.26088 149.4716023 1s2 5g2 G7/2 149.36813 149.26849149.26057 149.4707024 1s2 5g2 G9/2 149.37788 149.27824149.27032 149.48120NIST: http://www.nist.gov/pml/data/asd.cfmGRASP1: Present results from the grasp code without the Breit and QED eectsGRASP2: Present results from the grasp code with the Breit and QED eectsFAC: Present results from the fac codeBPRM: Nahar (2002) 9. Table 3. Comparison of radiative rates (A- values, s1 ) for some transitions of Ti XX. ijA (GRASP)A (FAC)A (BPRM) f (GRASP) 12 1.4907+09 1.4990+091.4030+09 2.117602 13 2.5447+09 2.5500+092.5930+09 5.097702 15 3.5749+12 3.6310+123.6770+12 1.247401 16 3.4911+12 3.5540+123.5830+12 2.422801 1 10 1.5800+12 1.6500+121.3880+12 3.112602 1 11 1.5542+12 1.6270+121.3630+12 6.112702 1 17 8.1676+11 9.1200+117.4220+11 1.294902 1 18 8.0541+11 9.0220+117.3070+11 2.551802 27 8.8657+12 8.9040+128.8800+12 6.736101 2 12 2.8917+12 2.9410+122.8480+12 1.222901 2 19 1.3340+12 1.4250+121.3250+12 4.517002 38 1.0533+13 1.0590+131.0540+13 6.111301 3 13 3.4188+12 3.4810+123.3630+12 1.099801 3 20 1.5731+12 1.6780+121.5610+12 4.046902 7 11 6.2633+09 6.3600+091.7550+122.080403 7 14 2.0665+12 2.0650+122.0740+12 1.0132+00 7 18 2.6896+09 2.9250+091.2150+064.138804 9 10 4.5265+072.9160+08 4.941702 9 11 8.0239+074.2270+08 1.199801 9 17 1.0936+11 1.1230+111.0170+11 1.522701 9 18 1.0607+11 1.0900+119.7840+10 2.93150110 12 7.4663+062.0560+07 4.74840210 19 1.9329+11 1.9710+111.9160+11 5.66300111 13 3.8843+061.2340+07 3.23630211 20 2.3314+11 2.3760+112.3150+11 5.18920112 14 1.6307+041.8750+04 3.64070312 18 3.3472+09 3.4160+091.8630+115.19520312 21 3.8650+11 3.8550+113.8590+11 8.83990113 14 1.4472+017.7210+00 4.01150516 17 1.4704+078.2050+07 6.27480216 18 2.6185+071.2070+081.52490117 19 2.6949+065.7560+06 6.60870218 20 1.3974+063.2770+06 4.49910220 21 9.2274+005.0810+00 8.069305GRASP: Present results from the grasp codeFAC: Present results from the fac codeRMBP: Nahar (2002)Dierences are up to three orders of magnitude. 10. fig.3(a) 1003p3/2 3d5/2505g7/2 5f7/200200400 600 Ej (Ryd)10(b)3p3/2 3d5/25 5g7/2 5f7/20 0 20004000 6000Ej (Ryd)Figure 3: Comparison of collision strengths () with scattered energy (E j ) for the 3p3/2 - 3d5/2 and 5g7/2 - 5f7/2 transitions of(a) O VIII and (b) Ni XXVIII. Continuous and broken curves are from CB and circles and stars are from FAC.13 11. fig. 4(a) 1003p3/2 3d5/250Effective collision strength 5g7/2 5f7/2 0 104 105106 107108Te (K) 6(b) 43p3/2 3d5/2 25g7/2 5f7/2 0 104 105106 107108Te (K)Figure 4: Comparison of effective collision strengths () for the 3p3/2 - 3d5/2 and 5g7/2 - 5f7/2 transitions of (a) O VIII and (b)Ni XXVIII. Continuous and broken curves are from CB and FAC, respectively.14 12. Figure 2: Comparison of collision strengths from our calculations from darc (continuous curves) andfac (broken curves) for the 26 (circles: 1s2s 3 S1 - 1s2p 3 Po ), 414 (triangles: 1s2p 3 Po - 1s3d 3 D2 ),2 1and 1024 (stars: 1s3p 3 Po - 1s4d 3 D2 ) allowed transitions of Cl XVI.1Figure 3: Comparison of collision strengths from our calculations from darc (continuous curves) andfac (broken curves) for the 28 (circles: 1s2s 3 S1 - 1s3s 3 S