J/A+A/387/1135 NII effective recombination coefficients (Kisielius+, 2002)
Effective recombination coefficients for NII lines at nebular temperatures
and densities.
Kisielius R., Storey P.J.
<Astron. Astrophys. 387, 1135 (2002)>
=2002A&A...387.1135K 2002A&A...387.1135K
ADC_Keywords: Atomic physics
Keywords: atomic data - line: formation - ISM: HII regions -
planetary nebulae: general
Abstract:
We calculate effective recombination coefficients for the formation of
selected lines of NII. New photoionization data are computed which
accurately map the near threshold resonances and are used to derive
recombination coefficients for principal quantum numbers, n≤15,
including radiative and dielectronic recombination. Cascading from
higher states is included, allowing for the effects of finite electron
density in a hydrogenic approximation. The effects of population in
the excited states of the recombining ion are investigated.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table4a.dat 109 136 Effective recombination coefficients at electron
density Ne=102cm-3
table4b.dat 109 149 Effective recombination coefficients at electron
density Ne=104cm-3
table4c.dat 109 178 Effective recombination coefficients at electron
density Ne=105cm-3
table4d.dat 109 188 Effective recombination coefficients at electron
density Ne=106cm-3
table5.dat 108 149 *Fit coefficients and maximum fitting errors.
table6.dat 101 24 Effective recombination coefficients at different
electron densities
table7.dat 58 24 Comparison of our direct recombination coefficients
to states of N+ with those of
Nahar (1995ApJS..101..423N 1995ApJS..101..423N).
table8.dat 60 22 Comparison of calculated effective recombination
coefficients at Ne=104cm-3, Te=10000K
for N II (N+)
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Note on table5.dat: The temperature range of validity for the fits is
1000K≤Te≤20000K when Ne=104cm-3 and
5000K≤Te≤20000K for other densities.
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See also:
J/A+AS/133/257 : Recombination coefficients for NeII lines (Kisielius+ 1998)
J/A+AS/137/157 : O III recombination coefficients (Kisielius+, 1999)
J/A+AS/142/85 : Recombination coefficients for C II lines (Davey+, 2000)
Table 1. Comparison of calculated and experimental energies (in Ry)
for the N2+ target states.
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Configuration Term present experimental
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1s22s22p 2Po 0.00000 0.00000
1s22s2p2 4Pe 0.51771 0.52091
2De 0.92246 0.91960
2Se 1.20597 1.19279
2Pe 1.33866 1.32898
1s22p3 4So 1.70403 1.70123
2Do 1.85796 1.84962
2Po 2.11771 2.09865
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Table 2: Total recombination coefficients for N II ions [10-12cm3/s] at
various electron densities compared to data from Nahar (1995ApJS..101..423N 1995ApJS..101..423N)
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log(Ne)[cm-3]
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T [K] Case 2 4 5 6 Nahar (1995ApJS..101..423N 1995ApJS..101..423N)
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1000 A 10.67 11.49 12.45 14.13 10.4
B 8.32 8.96 9.71 11.03
2000 A 6.98 7.28 7.60 8.12 6.83
B 5.33 5.56 5.81 6.19
3000 A 5.76 5.93 6.10 6.36 5.41
B 4.41 4.53 4.67 4.86
5000 A 4.87 4.96 5.06 5.17 4.21
B 3.80 3.87 3.93 4.01
7500 A 4.26 4.33 4.38 4.43 3.51
B 3.38 3.42 3.46 3.49
10000 A 3.81 3.85 3.89 3.92 3.08
B 3.03 3.06 3.08 3.10
12500 A 3.45 3.49 3.52 3.54 2.78
B 2.75 2.77 2.79 2.80
15000 A 3.18 3.21 3.23 3.25 2.59
B 2.53 2.55 2.56 2.57
20000 A 2.84 2.86 2.87 2.88 2.49
B 2.26 2.27 2.28 2.29
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Table 3. Effective recombination coefficients [10-12cm3/s]
for the metastable states of N II (Case B).
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log(Ne)
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T [K] 2 4 5 6
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1s22s22p2 (1De) 1000 2.664 2.942 3.252 3.753
2000 1.726 1.838 1.953 2.111
3000 1.344 1.413 1.479 1.560
5000 0.987 1.024 1.058 1.092
7500 0.781 0.805 0.826 0.843
10000 0.670 0.688 0.703 0.713
12500 0.601 0.616 0.627 0.633
15000 0.556 0.569 0.578 0.582
20000 0.510 0.519 0.526 0.528
1s22s22p2 (1Se) 1000 0.525 0.581 0.642 0.742
2000 0.339 0.361 0.383 0.415
3000 0.263 0.276 0.289 0.305
5000 0.191 0.199 0.205 0.212
7500 0.150 0.154 0.158 0.161
10000 0.126 0.130 0.133 0.134
12500 0.111 0.114 0.116 0.117
15000 0.101 0.103 0.105 0.106
20000 0.089 0.091 0.092 0.093
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Byte-by-byte Description of file: table4?.dat
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Bytes Format Units Label Explanations
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2- 2 I1 --- SP1 2S+1 of upper term parent state
3- 3 I1 --- LP1 L of upper term parent state
4- 4 I1 --- PP1 Parity (0 for even, 1 for odd) of upper term
parent state
6- 7 I2 --- n1 Principal quantum number of outer electron
8- 8 A1 --- l1 Orbital quantum number of outer electron in
spectroscopic notation
10- 10 I1 --- S1 2S+1 of upper term
11- 11 I1 --- L1 L of upper term
12- 12 I1 --- P1 Parity (0 for even, 1 for odd) of upper term
15- 15 I1 --- SP2 2S+1 of lower term parent state
16- 16 I1 --- LP2 L of lower term parent state
17- 17 I1 --- PP2 Parity (0 for even, 1 for odd) of lower term
parent state
19- 20 I2 --- n2 Principal quantum number of outer electron
21- 21 A1 --- l2 Orbital quantum number of outer electron in
spectroscopic notation
23- 23 I1 --- S2 2S+1 of lower term
24- 24 I1 --- L2 L of lower term
25- 25 I1 --- P2 Parity (0 for even, 1 for odd) of lower term
28- 28 A1 --- Case [AB] Plasma state case (G1)
29- 36 F8.1 nm Lambda Transition wavelength
38- 45 F8.3 10-14cm3/s ECR1 Te= 1000K effective recombination coefficient
46- 53 F8.3 10-14cm3/s ECR2 Te= 2000K effective recombination coefficient
54- 61 F8.3 10-14cm3/s ECR3 Te= 3000K effective recombination coefficient
62- 69 F8.3 10-14cm3/s ECR5 Te= 5000K effective recombination coefficient
70- 77 F8.3 10-14cm3/s ECR7.5 Te= 7500K effective recombination coefficient
78- 85 F8.3 10-14cm3/s ECR10 Te=10000K effective recombination coefficient
86- 93 F8.3 10-14cm3/s ECR12.5 Te=12500K effective recombination coefficient
94-101 F8.3 10-14cm3/s ECR15 Te=15000K effective recombination coefficient
102-109 F8.3 10-14cm3/s ECR20 Te=20000K effective recombination coefficient
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Byte-by-byte Description of file: table5.dat
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Bytes Format Units Label Explanation
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2- 2 I1 --- SP1 2S+1 of upper term parent state
3- 3 I1 --- LP1 L of upper term parent state
4- 4 I1 --- PP1 Parity (0 for even, 1 for odd) of upper term
parent state
6- 7 I2 --- n1 Principal quantum number of outer electron
8- 8 A1 --- l1 Orbital quantum number of outer electron in
spectroscopic notation
10- 10 I1 --- S1 2S+1 of upper term
11- 11 I1 --- L1 L of upper term
12- 12 I1 --- P1 Parity (0 for even, 1 for odd) of upper term
15- 15 I1 --- SP2 2S+1 of lower term parent state
16- 16 I1 --- LP2 L of lower term parent state
17- 17 I1 --- PP2 Parity (0 for even, 1 for odd) of lower term
parent state
19- 20 I2 --- n2 Principal quantum number of outer electron
21- 21 A1 --- l2 Orbital quantum number of outer electron in
spectroscopic notation
23- 23 I1 --- S2 2S+1 of lower term
24- 24 I1 --- L2 L of lower term
25- 25 I1 --- P2 Parity (0 for even, 1 for odd) of lower term
28- 28 A1 --- Case [AB] Plasma state case (G1)
29- 36 F8.1 nm Lambda Transition wavelength
37- 44 F8.3 --- a Fitting coefficient a (1)
45- 52 F8.3 --- b Fitting coefficient b (1)
53- 60 F8.3 --- c Fitting coefficient c (1)
61- 68 F8.3 --- d Fitting coefficient d (1)
69- 77 F9.4 --- f Fitting coefficient f (1)
78- 85 F8.3 --- u Fitting coefficient u (1)
86- 93 F8.3 --- v Fitting coefficient v (1)
94-100 F7.2 % delta Maximum fitting error δ
101-107 F7.2 % Delta Maximum fitting error {DELTA}
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Note (1): The coefficients are fitted by a least-squares algorithm to the
functional form:
αeff=10-14*atf*(1+0.10uY+0.001vY2)
*(1+b(1-t)+c(1-t)2+d(1-t)3),
where t=Te/104 and Y=log(Ne)-4
(Te expressed in K, and Ne in cm-3)
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Byte-by-byte Description of file: table6.dat
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Bytes Format Units Label Explanations
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1- 38 A38 --- Trans Transition
40- 44 F5.1 nm Lambda Wavelength
46 A1 --- Case [AB] Optical case (G1)
48- 52 E5.1 cm-3 Ne Electron density
54- 60 F7.3 10-15cm+3/s ECR5 Effective recombination coefficient at Ne,
Te=5000K
62- 68 F7.3 10-15cm+3/s ECR7.5 Effective recombination coefficient at Ne,
Te=7500K
70- 76 F7.3 10-15cm+3/s ECR10 Effective recombination coefficient at Ne,
Te=10000K
78- 84 F7.3 10-15cm+3/s ECR12.5 Effective recombination coefficient at Ne,
Te=12500K
86- 92 F7.3 10-15cm+3/s ECR15 Effective recombination coefficient at Ne,
Te=15000K
94-100 F7.3 10-15cm+3/s ECR20 Effective recombination coefficient at Ne,
Te=20000K
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Byte-by-byte Description of file: table7.dat
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Bytes Format Units Label Explanations
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1- 22 A22 --- State Final state of N+, or "Total" (1)
24- 31 E8.3 cm3/s Nahar ? Nahar (1995ApJS..101..423N 1995ApJS..101..423N) direct recombination
coefficients at Te=103K, Ne=104cm-3
33- 40 E8.3 cm3/s Present Present direct recombination coefficients
at Te=103K, Ne=104cm-3
42- 49 E8.3 cm3/s Nahar2 ? Nahar (1995ApJS..101..423N 1995ApJS..101..423N) direct recombination
coefficients at Te=104K, Ne=104cm-3
51- 58 E8.3 cm3/s Present2 Present direct recombination coefficients
at Te=104K, Ne=104cm-3
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Note (1): the last line of the table gives the total recombination coefficients
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Byte-by-byte Description of file: table8.dat
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Bytes Format Units Label Explanations
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1- 28 A28 --- Trans Transition
31 A1 --- Case [AB] Optical case (G1)
34- 38 F5.1 nm Lambda Wavelength
41- 45 F5.3 10-13cm3/s PPB Pequignot et al. (1991A&A...251..680P 1991A&A...251..680P)
effective recombination coefficient
48- 52 F5.3 10-13cm3/s E+V ? Escalante & Victor (1990ApJS...73..513E 1990ApJS...73..513E)
effective recombination coefficient
55- 59 F5.3 10-13cm3/s Present ? Present work effective recombination
coefficient
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Global Notes:
Note (G1): In Case A, all emission lines are assumed to be optically thin,
while in Case B, lines terminating on the 2s22p2 3P state are
assumed to be optically thick.
History:
From electronic version of the journal
(End) Patricia Bauer [CDS] 23-May-2002