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J/A+AS/147/253 IRON Project. XLV. Ar XIII and Fe XXI (Nahar, 2000)
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Atomic data from the Iron Project XLV.
Relativistic transition probabilities for carbon-like Ar XIII and Fe XXI
using Breit-Paili R-matrix method
Nahar S.N.
<Astron. Astrophys. Suppl. Ser. 147, 253 (2000)>
=2000A&AS..147..253N
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ADC_Keywords: Atomic physics
Keywords: atomic data
Abstract:
The Breit-Pauli R-matrix method developed under the Iron Project has
been used to obtain extensive sets of oscillator strengths and
transition probabilities for dipole allowed and intercombination fine
structure transitions in carbon like ions, Ar XIII and Fe XXI. The
complete set consists of 1274 fine structure bound energy levels and
198259 oscillator strengths for Ar XIII, and 1611 bound levels and
300079 oscillator strengths for Fe XXI. These correspond to levels of
total angular momenta of 0<=J<=7 of even and odd parities formed from
total spin of 2S+1=5, 3, 1, and orbital angular momenta 0<=L<=9 with
n<=10, 0<=l<=9 for each ion. The relativistic effects are included in
the Breit-Pauli approximation. The close coupling wavefunction
expansion for each ion is represented by the lowest 15 fine structure
levels of target configurations, 2s^2^2p, 2s2p^2^ and 2p^3^. The
energy levels are identified spectroscopically using a newly developed
identification procedure. The procedure also makes a correspondence
between the fine structure energy levels and LS terms. This provides
the check for completeness of the calculated levels. Comparison is
made of the present energies and the f-values with the available
observed and theoretical values. Present transition probabilities
agree very well with the relativistic atomic structure calculations of
Mendoza et al. for the intercombination transitions,
2s2p^3^(^5^S{deg}_2_) - 2s^2^2p^2^(^3^P_1,2_,^1^D_2_). This further
indicates that the importance of the neglected Breit interaction
decreases with ion charge and constrains the uncertainty in the
present calculations to within 15% even for the weak transitions.
File Summary:
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FileName Lrecl Records Explanations
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ReadMe 80 . This file
table2a.dat 68 1274 Ar XIII identified fine structure energy levels,
ordered in J{pi}
table2b.dat 90 1802 Ar XIII identified fine structure energy levels,
ordered in energy and grouped as LS terms
table3a.dat 68 1611 Fe XXI identified fine structure energy levels,
ordered in J{pi}
table3b.dat 75 2247 Fe XXI identified fine structure energy levels,
ordered in energy and grouped as LS terms
tranfe21.dat 67 300122 Ar XIII complete table of transition probabilities
tranar13.dat 67 198303 Fe XXI complete table of transition probabilities
table7a.dat 82 333 Ar XIII oscillator strengths where observed
energies are used
table7b.dat 82 390 Ar XIII oscillator strengths from table7a.dat,
but ordered in energy and grouped according to
components of same LS multiplets
table8a.dat 82 184 Fe XXI oscillator strengths where observed
energies are used
table8b.dat 82 228 Fe XXI oscillator strengths from table8a.dat,
but ordered in energy and grouped according to
components of same LS multiplets
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Description of file: table2b.dat, table3b.dat
Total number of levels processed= 1274 for table2b.dat,
1611 for table3b.dat
Nlv=Number of levels expected
Nlv(c)=Number of levels obtained
Nlv=Nlv(c) -> set complete
For Equivalent electron levels:
(i) no EQN (effective qn)
(ii) no check of set completeness
First lines (table2b.dat):
Configuration J E(Ry) EQN LS terms
Eqv electron/unidentified levels, parity: e
2s22p2 0 -5.04159E+01 3 P e
2s22p2 1 -5.03260E+01 3 P e
2s22p2 2 -5.02091E+01 3 P e
Nlv(c)= 3 : set complete
Eqv electron/unidentified levels, parity: e
2s22p2 2 -4.96213E+01 1 D e
Nlv(c)= 1 : set complete
Eqv electron/unidentified levels, parity: e
Description of file: tranar13.dat, tranfe21.dat
First line - The two numbers in the table are the nuclear charge
(Z = 18 for Ar XIII and Z = 26 for Fe XXI)
and the number of electrons (N_{elc} = 6) in the ion, Ar XIII or Fe XXI.
Below the above line, sets of transitions of a pair of symmetries
J{pi} - J'{pi}' are given.
For each set:
The first line - 2Ji, parity {pi} (=0 for even and =1 for odd),
2Jk and {pi}k, the symmetries of transitions.
The second line - N_{Ji} and N_{Jk}, the number of bound levels for
of the two symmetries.
This line is followed by N_{Ji} x N_{Jk} number of transitions.
For each transition the first two columns are the level indices, I_i_
and I_k_ for the energies.
The third and the fourth columns are the energies, E_i_ and E_k_.
The fifth column is gf_L_ where g=2J+1 (J is the total angular momentum
of the lower level).
The sixth column is S (line strength).
The last column is the transition probability, A_{ki}(sec^-1^).
If a gf-value is negative the lower level is i (absorption) and if it is
positive, the lower level is k (emission). The identification of the
transition can be determined from the levels of indices I_i_ and I_k_
in Table 2a for tranar13.dat and Table 3a for transfe21.dat.
First lines (tranar13.dat):
18 6
0 0 2 1
56 136 Ei(Ry) Ej(Ry) gfL S Aji(s-1)
1 1 -5.04159E+01 -4.65272E+01 -7.432E-02 5.734E-02 3.009E+09
1 2 -5.04159E+01 -4.58436E+01 -3.719E-02 2.440E-02 2.082E+09
1 3 -5.04159E+01 -4.45972E+01 -7.896E-02 4.071E-02 7.158E+09
1 4 -5.04159E+01 -4.39490E+01 -8.538E-03 3.961E-03 9.561E+08
1 5 -5.04159E+01 -2.20006E+01 -5.614E-02 5.927E-03 1.214E+11
1 6 -5.04159E+01 -2.17248E+01 -3.410E-04 3.566E-05 7.517E+08
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See also:
J/A+AS/103/273 : IRON Project II IR collision strengths of C-like ions
J/A+A/283/319 : IRON Project III B-like ions
J/A+AS/108/1 : IRON Project V Collision strengths of O-like ions
J/A+A/293/953 : IRON Project VI Fe II collision strengths
J/A+A/293/967 : IRON Project VII Fe II radiative transitions
J/A+AS/109/193 : IRON Project VIII Electron excitation of Ti-like ions
J/A+AS/119/509 : IRON Project XVII Radiative transition in Fe III
J/A+AS/119/523 : IRON Project XVIII Electron impact for Fe III
J/A+AS/120/361 : IRON Project XIX Fe II radiative transitions
J/A+AS/123/159 : IRON Project XXII C and O radiative rates
J/A+AS/123/575 : IRON Project XXIII Fe XXII excitation rate coefficients
J/A+AS/126/373 : IRON Project XXVII Fe IV collision strengths
J/A+AS/131/499 : IRON Project XXIX Boron isoelectronic sequence
J/A+AS/131/153 : IRON Project XXXI Fe XII electron excitation
J/A+AS/135/347 : IRON Project XXXV Fe XXIV & Fe XXV oscillator strengths
J/A+AS/136/395 : IRON Project XXXVII Fe VI collision strengths
J/A+AS/137/165 : IRON Project XXXVIII Fe XV fine-structure transitions
J/A+AS/143/483 : IRON Project XLII Fe XXI electron impact excitation
J/A+AS/144/141 : IRON Project XLIII Fe V transition probabilities
J/A+AS/147/111 : IRON Project XLIV Fe VI trans. prob. & line ratio
J/A+A/365/268 : IRON Project XLVII Ni III electron impact excitation
Table 1: Target levels of Ar XIV (Fe XXII) in the
eigenfunction expansion of Ar XIII (Fe XXI)
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Config SLp J Ar XIV E(Ry) Fe XXII E(Ry)
-----------------------------------------------------------------
1 2s22p 2Po 1/2 0.00000E+00 0.00000E+00
2 2s22p 2Po 3/2 2.06470E-01 1.07776E+00
3 2s2p2 4Pe 1/2 1.79250E+00 3.68653E+00
4 2s2p2 4Pe 3/2 1.87090E+00 4.19365E+00
5 2s2p2 4Pe 5/2 1.97560E+00 4.67717E+00
6 2s2p2 2De 3/2 3.73870E+00 6.71166E+00
7 2s2p2 2De 5/2 3.74710E+00 6.92217E+00
8 2s2p2 2Se 1/2 4.68780E+00 7.77748E+00
9 2s2p2 2Pe 1/2 4.96850E+00 8.91420E+00
10 2s2p2 2Pe 3/2 5.05440E+00 9.04241E+00
11 2p3 4So 3/2 6.24550E+00 1.14428E+01
12 2p3 2Do 3/2 7.11150E+00 1.27251E+01
13 2p3 2Do 5/2 7.13610E+00 1.30027E+01
14 2p3 2Po 1/2 8.03010E+00 1.43035E+01
15 2p3 2Po 3/2 8.07110E+00 1.48329E+01
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Notes: Ar XIV: Z = 18, No. of core electrons = 5
Fe XXII: Z = 26, No. of core electrons = 5
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Byte-by-byte Description of file: table2a.dat, table3a.dat
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Bytes Format Units Label Explanations
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1- 3 I3 --- Nlv Number of levels (1)
5- 11 A7 --- Jpi Spin symmetry level
13- 15 I3 --- Level Level
17- 32 A16 --- T Target (config SLpi Jt) of the level
34- 36 A3 --- nl Principal and orbital quantum numbers of
the outer electron
39 I1 --- J Total angular momentum of the lower level
42- 53 E12.5 Ry E Energy
55- 59 F5.2 --- EQN ? Effective Quantum Number (2)
62- 68 A7 --- Terms Possible LS terms of the energy level
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Note (1): Number of fine structure levels:
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Ar XIII Fe XXI
J pi Nlv(c) Nlv(c)
-------------------------------
0 0 56 64
0 1 53 61
2 0 131 153
2 1 136 157
4 0 157 187
4 1 156 185
6 0 129 159
6 1 129 159
8 0 90 114
8 1 84 116
10 0 47 75
10 1 41 69
12 0 25 36
12 1 20 38
14 0 10 16
14 1 10 22
-------------------------------
Total number of levels = 1274 1611
Note (2): No EQN is assigned for Equivalent electron levels
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Table 9: Calculated energy level indices for various J{pi}
that have been observed
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Allowed transitions among the following levels have been reprocessed with
observed energies to improve the accuracy:
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FINE STRUCTURE TRANSITIONS IN Ar XIII
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J pi nlv levels
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0 e 3 1,2,3
0 o 6 1,2,3,8,12,18
1 e 2 1,2
1 o 17 1,2,3,4,5,6,7,8,9,16,18,20,21,30,31,43,45
2 e 5 1,2,3,4,14
2 o 15 1,2,3,4,5,6,7,8,9,15,16,19,29,44,46
3 e 1 6
3 o 5 1,2,3,4,8
4 o 1 1
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FINE STRUCTURE TRANSITIONS IN Fe XXI
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J pi nlv levels
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0 e 4 1,2,3,4
0 o 1 1
1 e 2 1,2
1 o 8 1,2,3,4,11,39,40,67
2 e 4 1,2,3,4
2 o 11 1,2,3,4,6,8,9,39,40,41,72
3 o 9 1,2,3,4,22,23,24,50,51
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Byte-by-byte Description of file: table7a.dat, table7b.dat, table8a.dat
Byte-by-byte Description of file: table8b.dat
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Bytes Format Units Label Explanations
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1- 12 A12 --- Ci Configurations of the level i (1)
14- 25 A12 --- Cf Configurations of the level j
27- 29 A3 ---- slpi Initial core level
31- 33 A3 --- slpf Final core level
35- 36 I2 --- Ji Lower J-value
38- 39 I2 --- Ni ? Energy level index of lower J-value
41- 42 I2 --- Jf Upper J-value
44- 45 I2 --- Nf ? Energy level index of upper J-value
47- 54 F8.4 Ry Ei Initial energy
56- 63 F8.4 Ry Ef Final energy
65- 73 E9.3 --- f f value
75- 82 E8.2 s-1 A A value
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Note (1): For table7a.dat and table7b.dat (Ar XIII):
nz = 18, No. of core electrons = 5, No of transitions = 333
For table8a.dat and table8b.dat (Fe XXI):
nz = 26, No. of core electrons = 5, No of transitions = 184
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Acknowledgements: Sultana Nahar <nahar@astronomy.ohio-state.edu>
References:
1993A&A...279..298H : IRON Project I Goal and methods
1994A&AS..107...29S : IRON Project IV Electron excitation of F-like ions
1995A&AS..110..209P : IRON Project IX Electron excitation of Cl-like ion
1995A&AS..111..347G : IRON Project X Si- & S-like ions IR coll. strengths
1996A&AS..115..151S : IRON Project XI Ar VI, K VII & CaVIII fine-structure
1995A&AS..114..367B : IRON Project XII V-like ions electron excitation
1996A&AS..115..551B : IRON Project XIII Ni II & Fe II electron excitation
1996A&A...309..677S : IRON Project XIV Fe XIV fine-structure transition
1996A&AS..118..157K : IRON Project XV He II & Fe XXVI Electron excitation
1996A&AS..119..105B : IRON Project XVI Fe V oscillator strengths
1997A&AS..122..167B : IRON Project XX Fe I oscillator strengths
1997A&AS..122..177P : IRON Project XXI Fe I fine-structure transition
1997A&AS..126..105B : IRON Project XXIV Fe XXIV electron excitation
1998A&AS..127..545B : IRON Project XXV Fe XII electron excitation
1997A&AS..126..365B : IRON Project XXVI Fe IV oscillator strengths
1998A&AS..129..161B : IRON Project XXVIII F-like ions fine-structure trans.
1999A&AS..134..369S : IRON Project XXX P III, S IV & Cl V collision data
1998A&AS..133..245G : IRON Project XXXII Ar III effective collision strength
1999A&AS..135..159M : IRON Project XXXIII Carbon radiative rates
1999A&AS..136..385E : IRON Project XXXIV Fe XVI electron impact excitation
1999A&AS..137..175C : IRON Project XXXVI Fe XXIII electron excitation
1999A&AS..137..529B : IRON Project XXXIX Ni II oscillator strengths
2000A&AS..141..285S : IRON Project XL Fe XIV electron excitation
2000A&AS..142..313B : IRON Project XLI Fe VII electron excitation
2001A&A...365..258P : IRON Project XLVI Fe X electron excitation
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(End) Patricia Bauer [CDS] 21-Sep-2000