J/MNRAS/497/1443    Ionisation and ion fraction data          (Dufresne+, 2020)

Effects of density on the oxygen ionisation equilibrium in collisional plasmas. Dufresne R.P., Del Zanna G., Badnell N.R. <Mon. Not. R. Astron. Soc. 497, 1443-1456 (2020)> =2020MNRAS.497.1443D 2020MNRAS.497.1443D (SIMBAD/NED BibCode)
ADC_Keywords: Atomic physics Keywords: atomic data - atomic processes - plasmas - Sun: transition region Abstract: The ion populations most frequently adopted for diagnostics in collisional plasmas are derived from the density independent, coronal approximation. In higher density, lower temperature conditions, ionisation rates are enhanced once metastable levels become populated, and recombination rates are suppressed if ions recombine into Rydberg levels. As a result, the formation temperatures of ions shift, altering the diagnostics of the plasma. To accurately model the effect of ionisation from metastable levels, new electron impact, ionisation cross sections have been calculated for oxygen, both for direct ionisation and excitation-auto-ionisation of the ground and metastable levels. The results have been incorporated into collisional radiative modelling to show how the ionisation equilibrium of oxygen changes once metastable levels become populated. Suppression of dielectronic recombination has been estimated and also included in the modelling, demonstrating the shifts with density in comparison to the coronal approximation. The final results for the ionisation equilibrium are used in differential emission measure modelling to predict line intensities for many lines emitted by OII-VI in the solar transition region. The predictions show improved agreement by 15-40% for OII, OVI and the inter-combination lines of OIII-V, when compared to results from coronal approximation modelling. While there are still discrepancies with observations of these lines, this could, to a large part, be explained by variability in the observations. Description: The file levels.dat gives indices for energy levels of ions for which data has been given. The file temprate.dat gives the temperatures at which the rate coefficients have been calculated for each ion. The file di_lr.dat gives the rate coefficients for direct ionisation (DI) by electron impact resolved by initial and final levels, and the file di_total.dat gives total DI rate coefficients from each initial level. The file ea_lr.dat gives the rate coefficients for excitation-auto-ionisation (EA) by electron impact resolved by initial and final levels, and the file ea_total.dat gives total EA rate coefficients from each initial level. Files oioneqXX.dat give the ion populations for each ion of oxygen for temperatures given in file tempions.dat, derived from the ionisation equilibrium at log electron density XX (cm-3). The files are in the Chianti .ioneq file format. Details of methods for calculations are given in the paper. File Summary: -------------------------------------------------------------------------------- FileName Lrecl Records Explanations -------------------------------------------------------------------------------- ReadMe 80 . This file levels.dat 56 32 Energy level indices and their configurations temprate.dat 153 7 Temperatures for rate coefficients di-lr.dat 175 47 Level resolved DI Rate coefficients di-total.dat 175 32 Total DI Rate coefficients ea-lr.dat 175 95 Level resolved EA Rate coefficients ea-total.dat 175 23 Total EA Rate coefficients tempions.dat 366 1 Temperatures for ion fractional populations oioneq07.dat 616 9 Ion populations at density 1e+07 cm-3 oioneq08.dat 616 9 Ion populations at density 1e+08 cm-3 oioneq09.dat 616 9 Ion populations at density 1e+09 cm-3 oioneq10.dat 616 9 Ion populations at density 1e+10 cm-3 oioneq11.dat 616 9 Ion populations at density 1e+11 cm-3 oioneq12.dat 616 9 Ion populations at density 1e+12 cm-3 oioneq13.dat 616 9 Ion populations at density 1e+13 cm-3 -------------------------------------------------------------------------------- Byte-by-byte Description of file: levels.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 5 I5 --- Z Atomic number of element 6- 10 I5 --- N Number of electrons in ion 11- 15 I5 --- Level Energy level index 16- 36 A21 --- Config Electron configuration of level 37- 39 I3 --- S Spin angular momentum of level 40- 42 I3 --- L Orbital angular momentum of level 43- 45 I3 --- 2J Total angular momentum of level x2 46- 56 E11.6 eV dE FAC level energy above ground level of ion -------------------------------------------------------------------------------- Byte-by-byte Description of file: temprate.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 5 I5 --- Z Atomic number of element 6- 10 I5 --- N Number of electrons in ion before impact 11- 21 E11.6 K Temp1 Temperature 1 22- 32 E11.6 K Temp2 Temperature 2 33- 43 E11.6 K Temp3 Temperature 3 44- 54 E11.6 K Temp4 Temperature 4 55- 65 E11.6 K Temp5 Temperature 5 66- 76 E11.6 K Temp6 Temperature 6 77- 87 E11.6 K Temp7 Temperature 7 88- 98 E11.6 K Temp8 Temperature 8 99-109 E11.6 K Temp9 Temperature 9 110-120 E11.6 K Temp10 Temperature 10 121-131 E11.6 K Temp11 Temperature 11 132-142 E11.6 K Temp12 Temperature 12 143-153 E11.6 K Temp13 Temperature 13 -------------------------------------------------------------------------------- Byte-by-byte Description of file: di-lr.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 5 I5 --- Z Atomic number of element 6- 10 I5 --- N Number of electrons in ion before impact 11- 15 I5 --- ilevel Initial level of ion before impact 16- 20 I5 --- flevel Final level after impact of ionised ion 21- 32 E12.3 eV IP Threshold energy for process 33- 43 E11.6 cm+3/s Rate1 Rate coefficient at Temp1 44- 54 E11.6 cm+3/s Rate2 Rate coefficient at Temp2 55- 65 E11.6 cm+3/s Rate3 Rate coefficient at Temp3 66- 76 E11.6 cm+3/s Rate4 Rate coefficient at Temp4 77- 87 E11.6 cm+3/s Rate5 Rate coefficient at Temp5 88- 98 E11.6 cm+3/s Rate6 Rate coefficient at Temp6 99-109 E11.6 cm+3/s Rate7 Rate coefficient at Temp7 110-120 E11.6 cm+3/s Rate8 Rate coefficient at Temp8 121-131 E11.6 cm+3/s Rate9 Rate coefficient at Temp9 132-142 E11.6 cm+3/s Rate10 Rate coefficient at Temp10 143-153 E11.6 cm+3/s Rate11 Rate coefficient at Temp11 154-164 E11.6 cm+3/s Rate12 Rate coefficient at Temp12 165-175 E11.6 cm+3/s Rate13 Rate coefficient at Temp13 -------------------------------------------------------------------------------- Byte-by-byte Description of file: di-total.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 5 I5 --- Z Atomic number of element 6- 10 I5 --- N Number of electrons in ion before impact 11- 15 I5 --- ilevel Initial level of ion before impact 16- 20 I5 --- flevel Final level after impact of ionised ion 21- 32 E12.3 eV IP Threshold energy for process 33- 43 E11.6 cm+3/s Rate1 Rate coefficient at Temp1 44- 54 E11.6 cm+3/s Rate2 Rate coefficient at Temp2 55- 65 E11.6 cm+3/s Rate3 Rate coefficient at Temp3 66- 76 E11.6 cm+3/s Rate4 Rate coefficient at Temp4 77- 87 E11.6 cm+3/s Rate5 Rate coefficient at Temp5 88- 98 E11.6 cm+3/s Rate6 Rate coefficient at Temp6 99-109 E11.6 cm+3/s Rate7 Rate coefficient at Temp7 110-120 E11.6 cm+3/s Rate8 Rate coefficient at Temp8 121-131 E11.6 cm+3/s Rate9 Rate coefficient at Temp9 132-142 E11.6 cm+3/s Rate10 Rate coefficient at Temp10 143-153 E11.6 cm+3/s Rate11 Rate coefficient at Temp11 154-164 E11.6 cm+3/s Rate12 Rate coefficient at Temp12 165-175 E11.6 cm+3/s Rate13 Rate coefficient at Temp13 -------------------------------------------------------------------------------- Byte-by-byte Description of file: ea-lr.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 5 I5 --- Z Atomic number of element 6- 10 I5 --- N Number of electrons in ion 11- 15 I5 --- ilevel Initial level of ion before impact 16- 20 I5 --- flevel Final level after impact of ionised ion 21- 32 E12.3 eV IP Threshold energy for process 33- 43 E11.6 cm+3/s Rate1 Rate coefficient at Temp1 44- 54 E11.6 cm+3/s Rate2 Rate coefficient at Temp2 55- 65 E11.6 cm+3/s Rate3 Rate coefficient at Temp3 66- 76 E11.6 cm+3/s Rate4 Rate coefficient at Temp4 77- 87 E11.6 cm+3/s Rate5 Rate coefficient at Temp5 88- 98 E11.6 cm+3/s Rate6 Rate coefficient at Temp6 99-109 E11.6 cm+3/s Rate7 Rate coefficient at Temp7 110-120 E11.6 cm+3/s Rate8 Rate coefficient at Temp8 121-131 E11.6 cm+3/s Rate9 Rate coefficient at Temp9 132-142 E11.6 cm+3/s Rate10 Rate coefficient at Temp10 143-153 E11.6 cm+3/s Rate11 Rate coefficient at Temp11 154-164 E11.6 cm+3/s Rate12 Rate coefficient at Temp12 165-175 E11.6 cm+3/s Rate13 Rate coefficient at Temp13 -------------------------------------------------------------------------------- Byte-by-byte Description of file: ea-total.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 5 I5 --- Z Atomic number of element 6- 10 I5 --- N Number of electrons in ion 11- 15 I5 --- ilevel Initial level of ion before impact 16- 20 I5 --- flevel Final level after impact of ionised ion 21- 32 E12.3 eV IP Threshold energy for process 33- 43 E11.6 cm+3/s Rate1 Rate coefficient at Temp1 44- 54 E11.6 cm+3/s Rate2 Rate coefficient at Temp2 55- 65 E11.6 cm+3/s Rate3 Rate coefficient at Temp3 66- 76 E11.6 cm+3/s Rate4 Rate coefficient at Temp4 77- 87 E11.6 cm+3/s Rate5 Rate coefficient at Temp5 88- 98 E11.6 cm+3/s Rate6 Rate coefficient at Temp6 99-109 E11.6 cm+3/s Rate7 Rate coefficient at Temp7 110-120 E11.6 cm+3/s Rate8 Rate coefficient at Temp8 121-131 E11.6 cm+3/s Rate9 Rate coefficient at Temp9 132-142 E11.6 cm+3/s Rate10 Rate coefficient at Temp10 143-153 E11.6 cm+3/s Rate11 Rate coefficient at Temp11 154-164 E11.6 cm+3/s Rate12 Rate coefficient at Temp12 165-175 E11.6 cm+3/s Rate13 Rate coefficient at Temp13 -------------------------------------------------------------------------------- Byte-by-byte Description of file: tempions.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 6 F6.2 [K] logTemp1 Log temperature 1 7- 12 F6.2 [K] logTemp2 Log temperature 2 13- 18 F6.2 [K] logTemp3 Log temperature 3 19- 24 F6.2 [K] logTemp4 Log temperature 4 25- 30 F6.2 [K] logTemp5 Log temperature 5 31- 36 F6.2 [K] logTemp6 Log temperature 6 37- 42 F6.2 [K] logTemp7 Log temperature 7 43- 48 F6.2 [K] logTemp8 Log temperature 8 49- 54 F6.2 [K] logTemp9 Log temperature 9 55- 60 F6.2 [K] logTemp10 Log temperature 10 61- 66 F6.2 [K] logTemp11 Log temperature 11 67- 72 F6.2 [K] logTemp12 Log temperature 12 73- 78 F6.2 [K] logTemp13 Log temperature 13 79- 84 F6.2 [K] logTemp14 Log temperature 14 85- 90 F6.2 [K] logTemp15 Log temperature 15 91- 96 F6.2 [K] logTemp16 Log temperature 16 97-102 F6.2 [K] logTemp17 Log temperature 17 103-108 F6.2 [K] logTemp18 Log temperature 18 109-114 F6.2 [K] logTemp19 Log temperature 19 115-120 F6.2 [K] logTemp20 Log temperature 20 121-126 F6.2 [K] logTemp21 Log temperature 21 127-132 F6.2 [K] logTemp22 Log temperature 22 133-138 F6.2 [K] logTemp23 Log temperature 23 139-144 F6.2 [K] logTemp24 Log temperature 24 145-150 F6.2 [K] logTemp25 Log temperature 25 151-156 F6.2 [K] logTemp26 Log temperature 26 157-162 F6.2 [K] logTemp27 Log temperature 27 163-168 F6.2 [K] logTemp28 Log temperature 28 169-174 F6.2 [K] logTemp29 Log temperature 29 175-180 F6.2 [K] logTemp30 Log temperature 30 181-186 F6.2 [K] logTemp31 Log temperature 31 187-192 F6.2 [K] logTemp32 Log temperature 32 193-198 F6.2 [K] logTemp33 Log temperature 33 199-204 F6.2 [K] logTemp34 Log temperature 34 205-210 F6.2 [K] logTemp35 Log temperature 35 211-216 F6.2 [K] logTemp36 Log temperature 36 217-222 F6.2 [K] logTemp37 Log temperature 37 223-228 F6.2 [K] logTemp38 Log temperature 38 229-234 F6.2 [K] logTemp39 Log temperature 39 235-240 F6.2 [K] logTemp40 Log temperature 40 241-246 F6.2 [K] logTemp41 Log temperature 41 247-252 F6.2 [K] logTemp42 Log temperature 42 253-258 F6.2 [K] logTemp43 Log temperature 43 259-264 F6.2 [K] logTemp44 Log temperature 44 265-270 F6.2 [K] logTemp45 Log temperature 45 271-276 F6.2 [K] logTemp46 Log temperature 46 277-282 F6.2 [K] logTemp47 Log temperature 47 283-288 F6.2 [K] logTemp48 Log temperature 48 289-294 F6.2 [K] logTemp49 Log temperature 49 295-300 F6.2 [K] logTemp50 Log temperature 50 301-306 F6.2 [K] logTemp51 Log temperature 51 307-312 F6.2 [K] logTemp52 Log temperature 52 313-318 F6.2 [K] logTemp53 Log temperature 53 319-324 F6.2 [K] logTemp54 Log temperature 54 325-330 F6.2 [K] logTemp55 Log temperature 55 331-336 F6.2 [K] logTemp56 Log temperature 56 337-342 F6.2 [K] logTemp57 Log temperature 57 343-348 F6.2 [K] logTemp58 Log temperature 58 349-354 F6.2 [K] logTemp59 Log temperature 59 355-360 F6.2 [K] logTemp60 Log temperature 60 361-366 F6.2 [K] logTemp61 Log temperature 61 -------------------------------------------------------------------------------- Byte-by-byte Description of file: oioneq*.dat -------------------------------------------------------------------------------- Bytes Format Units Label Explanations -------------------------------------------------------------------------------- 1- 3 I3 --- Z Atomic number of element 4- 6 I3 --- N Ion number starting with neutral atom 7- 16 E10.3 --- Pop1 Ion fractional population at Temp1 17- 26 E10.3 --- Pop2 Ion fractional population at Temp2 27- 36 E10.3 --- Pop3 Ion fractional population at Temp3 37- 46 E10.3 --- Pop4 Ion fractional population at Temp4 47- 56 E10.3 --- Pop5 Ion fractional population at Temp5 57- 66 E10.3 --- Pop6 Ion fractional population at Temp6 67- 76 E10.3 --- Pop7 Ion fractional population at Temp7 77- 86 E10.3 --- Pop8 Ion fractional population at Temp8 87- 96 E10.3 --- Pop9 Ion fractional population at Temp9 97-106 E10.3 --- Pop10 Ion fractional population at Temp10 107-116 E10.3 --- Pop11 Ion fractional population at Temp11 117-126 E10.3 --- Pop12 Ion fractional population at Temp12 127-136 E10.3 --- Pop13 Ion fractional population at Temp13 137-146 E10.3 --- Pop14 Ion fractional population at Temp14 147-156 E10.3 --- Pop15 Ion fractional population at Temp15 157-166 E10.3 --- Pop16 Ion fractional population at Temp16 167-176 E10.3 --- Pop17 Ion fractional population at Temp17 177-186 E10.3 --- Pop18 Ion fractional population at Temp18 187-196 E10.3 --- Pop19 Ion fractional population at Temp19 197-206 E10.3 --- Pop20 Ion fractional population at Temp20 207-216 E10.3 --- Pop21 Ion fractional population at Temp21 217-226 E10.3 --- Pop22 Ion fractional population at Temp22 227-236 E10.3 --- Pop23 Ion fractional population at Temp23 237-246 E10.3 --- Pop24 Ion fractional population at Temp24 247-256 E10.3 --- Pop25 Ion fractional population at Temp25 257-266 E10.3 --- Pop26 Ion fractional population at Temp26 267-276 E10.3 --- Pop27 Ion fractional population at Temp27 277-286 E10.3 --- Pop28 Ion fractional population at Temp28 287-296 E10.3 --- Pop29 Ion fractional population at Temp29 297-306 E10.3 --- Pop30 Ion fractional population at Temp30 307-316 E10.3 --- Pop31 Ion fractional population at Temp31 317-326 E10.3 --- Pop32 Ion fractional population at Temp32 327-336 E10.3 --- Pop33 Ion fractional population at Temp33 337-346 E10.3 --- Pop34 Ion fractional population at Temp34 347-356 E10.3 --- Pop35 Ion fractional population at Temp35 357-366 E10.3 --- Pop36 Ion fractional population at Temp36 367-376 E10.3 --- Pop37 Ion fractional population at Temp37 377-386 E10.3 --- Pop38 Ion fractional population at Temp38 387-396 E10.3 --- Pop39 Ion fractional population at Temp39 397-406 E10.3 --- Pop40 Ion fractional population at Temp40 407-416 E10.3 --- Pop41 Ion fractional population at Temp41 417-426 E10.3 --- Pop42 Ion fractional population at Temp42 427-436 E10.3 --- Pop43 Ion fractional population at Temp43 437-446 E10.3 --- Pop44 Ion fractional population at Temp44 447-456 E10.3 --- Pop45 Ion fractional population at Temp45 457-466 E10.3 --- Pop46 Ion fractional population at Temp46 467-476 E10.3 --- Pop47 Ion fractional population at Temp47 477-486 E10.3 --- Pop48 Ion fractional population at Temp48 487-496 E10.3 --- Pop49 Ion fractional population at Temp49 497-506 E10.3 --- Pop50 Ion fractional population at Temp50 507-516 E10.3 --- Pop51 Ion fractional population at Temp51 517-526 E10.3 --- Pop52 Ion fractional population at Temp52 527-536 E10.3 --- Pop53 Ion fractional population at Temp53 537-546 E10.3 --- Pop54 Ion fractional population at Temp54 547-556 E10.3 --- Pop55 Ion fractional population at Temp55 557-566 E10.3 --- Pop56 Ion fractional population at Temp56 567-576 E10.3 --- Pop57 Ion fractional population at Temp57 577-586 E10.3 --- Pop58 Ion fractional population at Temp58 587-596 E10.3 --- Pop59 Ion fractional population at Temp59 597-606 E10.3 --- Pop60 Ion fractional population at Temp60 607-616 E10.3 --- Pop61 Ion fractional population at Temp61 -------------------------------------------------------------------------------- Acknowledgements: Roger Dufresne, rpd21(at)cam.ac.uk Giulio Del Zanna, gd232(at)cam.ac.uk Nigel Badnell, badnell(at)phys.strath.ac.uk
(End) Roger Dufresne [Univ. of Cambridge], Patricia Vannier [CDS] 30-Jun-2020
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