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J/A+AS/144/141      Iron Project. XLIII. Fe V                (Nahar+, 2000)
================================================================================
Atomic data from the Iron Project. XLIII. Transition probabilities for Fe V
    Nahar S.N., Delahaye F., Pradhan A.K., Zeippen C.J.
   <Astron. Astrophys. Suppl. Ser. 144, 41 (2000)>
   =2000A&AS..144..141N
================================================================================
ADC_Keywords: Atomic physics
Keywords: atomic data

Abstract:
    An extensive set of dipole-allowed, intercombination, and forbidden
    transition probabilities for Fe V is presented. The Breit-Pauli
    R-matrix (BPRM) method is used to calculate 1.46x10^6^ oscillator
    strengths for the allowed and intercombination E1 transitions among
    3865 fine-structure levels dominated by configuration complexes with
    n<=10 and l<=9. These data are complemented by an atomic structure
    configuration interaction (CI) calculation using the SUPERSTRUCTURE
    program for 362 relativistic quadrupole (E2) and magnetic dipole (M1)
    transitions among 65 low-lying levels dominated by the 3d^4^ and 3d^3^
    4s configurations. Procedures have been developed for the
    identification of the large number of fine-structure levels and
    transitions obtained through the BPRM calculations. The target ion Fe
    VI is represented by an eigenfunction expansion of 19 fine-structure
    levels of 3d^3^ and a set of correlation configurations. Fe V bound
    levels are obtained with angular and spin symmetries SL{pi} and J{pi}
    of the (e + Fe VI) system such that 2S+1=5, 3, 1, L<=10, J<=8 of even
    and odd parities. The completeness of the calculated dataset is
    verified in terms of all possible bound levels belonging to relevant
    LS terms and transitions in correspondence with the LS terms. The
    fine-structure averaged relativistic values are compared with previous
    Opacity Project LS coupling data and other works. The 362 forbidden
    transition probabilities considerably extend the available data for
    the E2 and M1 transitions, and are in good agreement with those
    computed by Garstang for the 3d^4^ transitions.

File Summary:
--------------------------------------------------------------------------------
 FileName      Lrecl  Records   Explanations
--------------------------------------------------------------------------------
ReadMe            80        .   This file
table1a.dat       72     3865   Identified fine-structure energy levels of Fe V
table1b.dat      146     4737  *Identified fine structure energy levels,
                                 ordered in energy and grouped as LS terms
table3.dat        67  1457537  *Transition probabilities for Fe V
table5a.dat       80     3727   Table of oscillator strengths where observed
                                 energies are used
table5b.dat       80     4174   Table of oscillator strengths from table5a.dat,
                                 but ordered in energy and grouped according
                                 to components of LS multiplets
table7.dat        74     1808   The Complete dataset of forbidden transition
                                 probabilities (M1 and E2) for Fe V among the
                                 levels of 3d^4^ and 3d^3^4s
--------------------------------------------------------------------------------
Note on table1b.dat:
           Total number of levels processed= 3865

        Nlv: Number of levels expected
     Nlv(c): Number of levels obtained
        EQN: Effective Quantum Number
      E(Ry): Energy in Ry

     => Nlv=Nlv(c) -> set complete

  First lines:

    Configuration           J          E(Ry)     EQN     LS terms

 Eqv electron/unidentified levels, parity: e
 3d4                        0       -5.56210E+00          5 D e
 3d4                        1       -5.56072E+00          5 D e
 3d4                        2       -5.55802E+00          5 D e
 3d4                        3       -5.55417E+00          5 D e
 3d4                        4       -5.54927E+00          5 D e
 Nlv(c)=  5 : set complete
 Eqv electron/unidentified levels, parity: e
 3d4 2                      0       -5.34705E+00          3 P e
 3d4 2                      1       -5.33885E+00          3 P e
 3d4 2                      2       -5.32467E+00          3 P e
 Nlv(c)=  3 : set complete
 Eqv electron/unidentified levels, parity: e

Note on table3.dat:
   First line - The two numbers in the table are the nuclear charge (Z = 26)
   and the number of electrons (N_{elc} = 22) in the ion, Fe V.
   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}(s^-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 1a.

  First lines:

        26        22
    0    0         2    1
   80  236    Ei(Ry)     Ej(Ry)       gfL         S       Aji(s-1)
   1   1 -5.56210E+00 -3.14950E+00 -2.212E-01  2.751E-01  3.447E+09
   1   2 -5.56210E+00 -3.14082E+00 -5.660E-03  7.013E-03  8.884E+07
   1   3 -5.56210E+00 -3.13088E+00 -5.894E-02  7.273E-02  9.328E+08
   1   4 -5.56210E+00 -2.99367E+00 -8.675E-02  1.013E-01  1.532E+09
   1   5 -5.56210E+00 -2.97465E+00 -4.542E-03  5.266E-03  8.142E+07

--------------------------------------------------------------------------------

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

Byte-by-byte Description of file: table1a.dat
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   1-  3  I3    ---     Nlv       Total number of symmetry J{pi} (1)
   5-  7  A3    ---     JP        J value (o: odd, e: even)
  10- 12  I3    ---     i         i level
  14- 20  A7    ---     Ct        t configuration (2)
  25- 27  A3    ----    StLtPt    t core level (2)
  29- 32  A4    ---     Jt        J value at t (2)
  34- 36  A3    ---     nl        Principal and orbital quantum numbers of
                                   the outer electron
  39- 40  I2    ---     J         J value
  43- 54  E12.5 Ry      E         Energy
  56- 60  F5.2  ---     EQN       ? Effective Quantum Number (3)
  64- 73  A10   ---     Terms     Possible LS terms of the energy level
--------------------------------------------------------------------------------
Note (1): Z = 26, No. of core electrons = 21

         Target levels:
         ---------------------------------------
             Config      SLp   J       E(Ry)
         ---------------------------------------
             1 3d3       4Fe   3/2   0.00000E+00
             2 3d3       4Fe   5/2   4.65900E-03
             3 3d3       4Fe   7/2   1.08290E-02
             4 3d3       4Fe   9/2   1.82310E-02
             5 3d3       4Pe   1/2   1.70756E-01
             6 3d3       4Pe   3/2   1.72610E-01
             7 3d3       4Pe   5/2   1.78707E-01
             8 3d3       2Ge   7/2   1.87871E-01
             9 3d3       2Ge   9/2   1.94237E-01
            10 3d3       2Pe   3/2   2.38888E-01
            11 3d3       2Pe   1/2   2.41445E-01
            12 3d3 2     2De   5/2   2.59568E-01
            13 3d3 2     2De   3/2   2.60877E-01
            14 3d3       2He   9/2   2.61755E-01
            15 3d3       2He  11/2   2.66116E-01
            16 3d3       2Fe   7/2   4.21163E-01
            17 3d3       2Fe   5/2   4.24684E-01
            18 3d3 1     2De   5/2   6.53448E-01
            19 3d3 1     2De   3/2   6.56558E-01
           ---------------------------------------

          Number of fine structure levels:
          ----------------------------------------
            2J pi    Nlv(c)
          ----------------------------------------
             0  0     80
             0  1     85
             2  0    214
             2  1    236
             4  0    310
             4  1    338
             6  0    336
             6  1    367
             8  0    308
             8  1    345
            10  0    244
            10  1    269
            12  0    175
            12  1    186
            14  0    114
            14  1    116
            16  0     71
            16  1     71
          ----------------------------------------
            Total number of levels = 3865

Note (2): T(config SLpi Jt):   T -> target (core) of the level
Note (3): No EQN is assigned for Equivalent electron levels
--------------------------------------------------------------------------------

Table 4: Calculated energy level indices for various J{pi} that
          have been observed
--------------------------------------------------------------------------------
 J{pi}  nj   levels indices
--------------------------------------------------------------------------------
 0 e     6   1,2,3,4,5,6
 0 o     6   1,2,3,4,6,7
 1 e    11   1,2,3,4,5,6,7,8,9,10,11
 1 o    19   1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19
 2 e    18   1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18
 2 o    24   1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,19,20,21,22,23,24,25
 3 e    14   1,2,3,4,5,6,7,8,9,10,11,12,13,14
 3 o    24   1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24
 4 e    13   1,2,3,4,5,6,7,8,9,10,11,12,13
 4 o    18   1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18
 5 e     6   1,2,3,4,5,6
 5 o    11   1,2,3,4,5,6,7,8,9,10,11
 6 e     3   1,2,3
 6 o     5   1,2,3,4,5
 7 o     1   1
--------------------------------------------------------------------------------
 Note: nj is the total number on J{pi} levels observed
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table5a.dat table5b.dat
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   2- 12  A11   ---     Ci        Initial configuration (1)
  14- 24  A11   ---     Cj        Final configuration
  27- 29  A3    ---     SiLiPi    Initial core level
  31- 33  A3    ---     SjLjPj    Final core level
  35- 36  I2    ---     2Ji+1     2Ji+1 value
  38- 39  I2    ---     Ii        ? Energy level index of 2Ji+1
  41- 42  I2    ---     2Jj+1     2Jj+1 value
  44- 45  I2    ----    Ij        ? Energy level index of 2Jj+1
  48- 53  F6.4  Ry      Ei        Initial energy
  56- 61  F6.4  Ry      Ej        Final energy
  63- 71  E9.3  ---     f         f value
  73- 80  E8.2  s-1     A         A value
--------------------------------------------------------------------------------
Note (1):  nz =  26  , No. of core electrons= 21, No of transitions = 3727
--------------------------------------------------------------------------------

Byte-by-byte Description of file: table7.dat
--------------------------------------------------------------------------------
   Bytes Format Units   Label     Explanations
--------------------------------------------------------------------------------
   1-  6  A6    ---     Ci        Initial configuration
   9- 14  A6    ---     Cj        Final configuration
  16- 18  A3    ---     SiLiPi    Initial core level
  20- 22  A3    ---     SjLjPj    Final core level
      25  I1    ---     Ji        Initial J value
      28  I1    ---     Jj        Final J value
  30- 38  F9.1  0.1nm   Lvac      Wavelength in vacuum
  40- 47  F8.1  cm-1    Ei        Initial energy
  49- 56  F8.1  cm-1    Ej        Final energy
  58- 65  E8.2  s-1     AM1ji     Forbidden M1 transition probability
  67- 74  E8.2  s-1     AE2ji     Forbidden E2 transition probability
--------------------------------------------------------------------------------

History: In table 3, the "gfV" parameter has been changed to line strength "S",
          by the authors, on 21-Sep-2000

Acknowledgements: Sultana N. 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

================================================================================
(End)                                        Patricia Bauer [CDS]    10-May-2000

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