Energy Levels, Lifetimes and Transition rates for P-like ions from Cr X to Zn XVI from large-scale Relativistic Multiconfiguration Calculations
K. Wang P. Jönsson G. Gaigalas L. Radžiūtė P. Rynkun G. Del Zanna C. Y. Chen











	^1Group for Materials Science and Applied Mathematics, Malmö University, SE-20506, Malmö, Sweden;   per.jonsson@mah.se

	^2Hebei Key Lab of Optic-electronic Information and Materials, The College of Physics Science and Technology, Hebei University, Baoding 071002, China

	^3Shanghai EBIT Lab, Institute of Modern Physics, Department of Nuclear Science and Technology, Fudan University, Shanghai 200433, China;  chychen@fudan.edu.cn

	^4Institute of Theoretical Physics and Astronomy, Vilnius University, Saulėtekio av. 3, LT-10222, Vilnius, Lithuania

    ^5DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK





















The fully relativistic multiconfiguration Dirac–Hartree–Fock method is used to compute excitation energies and lifetimes for the 143 lowest states of the 
3s^23p^3, 3s3p^4, 3s^23p^23d, 3s3p^33d, 3p^5, 3s^23p3d^2 configurations in P-like ions from Cr10 to Zn16.  
Multipole (E1, M1, E2, M2) transition rates, line strengths, oscillator strengths, and branching fractions among these states 
are also given. Valence-valence and core-valence electron correlation effects are systematically accounted for using large basis function expansions.  
Computed excitation energies are compared with the NIST ASD and CHIANTI compiled values and previous calculations. The mean average absolute difference, removing obvious outliers, 
between computed and observed energies for the 41 lowest identified levels in Fe XII is only , implying 
that the computed energies are accurate enough to aid identification of new emission lines from the sun and other astrophysical sources. 
The amount of energy and transition data of high accuracy is significantly increased for several P-like ions of astrophysics interest, where experimental data are still very scarce.  























§ INTRODUCTION

P-like ions of the iron group elements have prominent lines in the ultraviolet (UV) and
extreme ultraviolet (EUV) spectral regions that are used for plasma diagnostics, especially 
to measure electron densities. 
 is especially important for the solar corona, as it produces the most prominent lines
in the EUV, as observed by e.g. Skylab, SOHO,  and more recently with the 
EUV Imaging Spectrometer (EIS) instrument on board the Hinode satellite <cit.>.
 lines have also been observed by  Chandra and XMM-Newton <cit.>. 

Because of their complex atomic structure, the radiative and scattering 
(by electron impact) calculations of P-like ions are notoriously difficult. 
Because of its importance, much effort has been produced  to provide 
accurate scattering data for Fe XII, see for example <cit.>.
It is only with the most recent calculations that large discrepancies between 
predicted and observed line emission has largely been resolved. 
Only about half of the 3s^23p^23d levels in Fe XII were identified, mostly by B.C.Fawcett and 
collaborators <cit.> in the 1970's, from the 
strongest decays in the EUV observed in theta-pinch spectra. 
<cit.> reviewed the identifications and suggested several new ones,
using the <cit.> atomic data. 

Important information for some of the states of the 3s^23p^23d configuration 
has been obtained from  fast-beam spectroscopy. For example, 
radiative lifetimes  in Fe XII, Co XIII and Cu XV were measured by <cit.>. 
For a recent review on Fe XII see <cit.>.
As noted by <cit.>, there are however some differences between calculated and measured lifetimes, 
calling for a reexamination of the latter. 

Much effort has also been devoted to the calculation of radiative data
for  Fe XII, also to aid the identifications  <cit.>.
The identifications and atomic data for the Fe XII lines have recently been reviewed 
by <cit.> using EBIT spectroscopic measurements, noting one significant 
discrepancy with the identifications proposed by <cit.>. 
 

For the other P-like ions, very few atomic data are available, with the exception of 
a few low charge states and   Ni XIV. 
Although less studied, also Ni XIV has diagnostic value and atomic data 
- electron impact collision strengths, energy levels, oscillator strengths, and spontaneous radiative decay
rates - have been calculated by <cit.>. 


The purpose of the present work is to provide transition energies for the lowest 143 states in P-like ions with spectroscopic accuracy, 
i.e. the accuracy is high enough so that the energies can be directly used to identify  lines from laboratory or space observations.
 Further, the present work aims at providing a consistent and accurate set of transition rates for all the ions, for modeling purposes. 
This  work is an extension of our previous efforts <cit.> to supply highly accurate atomic data for L- and M-shell systems, 
see <cit.> for a review.




§ THEORY AND CALCULATIONS



 §.§ MCDHF

In the multiconfiguration Dirac-Hartree-Fock (MCDHF) method the wave function Ψ (γ PJM) for a state labeled γ PJM, where γ is the orbital occupancy and angular coupling tree quantum numbers, P the parity, J the total angular momentum quantum number, and M the total magnetic quantum number, is written as a linear combination of 
N configuration state functions Φ(γ_rPJM) (CSFs)

    Ψ(γ PJM) =∑^N_r=1c_r Φ(γ_r P J M).

The CSFs are antisymmetrized and jj-coupled many electron functions built from products of one-electron Dirac orbitals <cit.>.  The radial parts of the Dirac orbitals and the expansion coefficients for the targeted states are obtained by solving the MCDHF equations, which result from applying the stationary condition on the
state averaged Dirac-Coulomb energy functional with added terms to enforce orthonormality of the radial orbitals. The Breit interaction and leading QED effects (vacuum polarization and self-energy) are included in subsequent configuration interaction (CI) calculations.


 §.§ Transition parameters
 
Transition parameters such as transition rates A, line strengths S, and weighted oscillator strengths gf between an initial
γ PJM and a final γ' P'J'M' state are expressed in terms of reduced matrix elements

    ⟨Ψ(γ PJ)  TΨ(γ' P'J') ⟩ = ∑_r,s c_r c'_s ⟨Φ(γ_r PJ)  TΦ(γ'_s P'J') ⟩,

where T is the transition operator. The evaluation of the matrix elements 
between separately optimized initial and final states, i.e. states that are built from different and mutually non-orthonormal orbital sets,
follows the prescription given in <cit.>.

For electric multipole transitions E1, E2 etc. there are two forms of the
transition operator; the length (Babushkin) form and the velocity (Coulomb) form <cit.>.
The length form is usually preferred. 
Following <cit.> and <cit.> we use
the relative difference 

    dT =  |A_l - A_v|/max(A_l,A_v)

of the transition rates A_l  and A_v computed in length and velocity
form as an indicator of accuracy of the rate. It should be emphasized that the values of dT do
not represent an uncertainty estimate of the rate for each individual transition.
Instead, they should be considered statistical indicators of
uncertainties within given sets of transitions. 


 §.§ Calculations

Calculations were performed for the 143 lowest states belonging to the
3s^23p^3, 3p^5, 3s3p^33d odd and
3s3p^4, 3s^23p^23d, 3s3p^23d^2 even configurations. The odd and even 
states were determined in separate calculations. As a starting
point, two MCDHF calculations were performed for, respectively, the statistically weighted average of the odd and
even parity states. To include electron correlation, and improve
on the computed energies and wave functions, the initial calculations
were followed by separate MCDHF calculations for
the odd and even parity states, with CSF expansions obtained by allowing single and
double (SD) substitutions from the reference configurations to
active orbital sets with principal quantum numbers up to n = 6
and with orbital angular momenta up to l = 5 (h-orbitals). Only CSFs that
have non-zero matrix elements with the CSFs belonging to the
reference configurations were retained. No substitutions were
allowed from the 1s shell, which defines an inactive closed core.
Furthermore, the substitutions were restricted in such a way that
only one substitution was allowed from the 2s and 2p subshells
of the configurations in the MR, and thus the generated expansions
account for valence and core-valence electron correlation <cit.>. The wave functions were
further improved by augmenting the above expansions with CSFs obtained by SD substitutions 
from the valence subshells of the reference configurations to active orbital sets with 
principal quantum numbers extended to n = 8 and with orbital angular momenta up to l = 6.
The neglected core-core correlation is comparatively unimportant for
both the energy separations and the transition probabilities <cit.>.

The MCDHF calculations were followed by CI calculations including
the Breit-interaction and leading QED effects. The number
of CSFs in the final odd and even state expansions were
approximately 3 250 000 and 4 600 000, respectively, distributed
over the different J symmetries.
All calculations were performed with the GRASP2K code
<cit.>. To provide the LSJ labeling system used in databases such as the NIST ASD  <cit.> and CHIANTI <cit.>, the wave functions are
transformed  from a jj-coupled CSF basis into a
LSJ-coupled CSF basis using the methods developed by Gaigalas <cit.>.



§ EVALUATION OF DATA





 §.§ Energy Levels and Lifetimes

The excitation energies and lifetimes for the 143 lowest states of Fe XII from the largest CI calculation with orbital sets with 
principal quantum numbers up to n = 8 and with orbital angular momenta up to l = 6 are displayed in Table <ref>. For comparison, compiled 
excitation energies from NIST ASD  <cit.> and compiled and calculated energies from CHIANTI version 8 <cit.> 
are also given along with  
excitation energies from the MR-MP calculations by <cit.>, MCHF-BP with non-orthogonal orbitals by <cit.> and super-structure (SS) calculations by <cit.>. Lifetimes from CHIANTI as well as from the three latter calculations are also given. 
We note that the CHIANTI v.8 data were obtained by  <cit.> with semi-empirical corrections.
The agreement between the present MCDHF/CI calculations and observations is, although not as excellent as for the MR-MP calculation by Vilkas, very good. Also the calculations by Tayal reproduce the excitation energies to a high degree. The SS calculations, which mainly aim at providing target states for scattering calculations, are semi-empirically scaled. For the states where there are no experimental data, 
the SS calculations differ strongly from the more accurate MCDHF/CI and MR-MP calculations. 

For P-like ions the ground state is a quartet state, and it is known that high spin states
converge more rapidly with respect to the increasing orbital space than the other states <cit.>. As a consequence there is a energy shift in the 
MCDHF/CI 
calculations so that the excited states are somewhat too high relative to the ground state. To quantify the shift we computed the mean level deviation, MLD, according to    

    MLD = 1/N∑_i = 1^N |E_obs(i) - E_cal(i) + ES |,

where N is the number of states. The energy shift, ES, is chosen as to minimize the sum. For MCDHF/CI we have a shift ES = 367 cm^-1 and MLD = 213 cm^-1. The corresponding 
values for MR-MP and the MCHF-BP calculations are ES = 233 cm^-1 and MLD = 271 cm^-1 and ES = 500 cm^-1 and MLD = 3993 cm^-1, respectively. 
Thus the spread for the MCDHF/CI calculation is small. By subtracting ES from the energies of the 
excited states we greatly improve the predictive power of the calculated values, facilitating the use of the transition energies for identifying lines in observed spectra.  The mean  level deviation ES analysis is summarized in Table <ref>.

Turning to the lifetimes we compare our lifetimes with theoretical lifetimes in the CHIANTI database <cit.> and lifetimes from the calculations by <cit.> and <cit.>.
The latter two
calculations only include the E1 transitions, and thus there are no lifetimes for the states of the ground term, nor from states 18 and 25. The MCDHF/CI lifetimes are computed in both the length form and velocity form. Excluding the states of the ground term configuration and 18 and 25, which are governed by higher multipoles, the lifetimes in the two forms agrees to within 0.3 % in mean. This agreement is highly satisfactory and indicate accurate values <cit.>. The consistency of the calculated lifetimes 
from the different methods is fair, but with clear anomalies for some states; for state 23 the lifetimes varies 
between  and . Comparing with the experimental lifetimes of <cit.> we see that the calculated lifetimes for state 19 all gather around 
 , which is about a factor of four  longer than the experimental value . Large differences between calculated and experimental lifetimes are also found for states in Co XIII and Cu XV. New experiments are needed to clarify these differences.

In  Table <ref> (the full
table is available on-line) we give calculated excitations energies as well as energies shifted according to the ES values from a mean level deviation analysis that is summarized in Table <ref>. For comparison, excitation energies from <cit.>; Cr X, Mn XI, Fe XII, Co XIII, Ni XIV, <cit.>; Cu XV, <cit.>; Zn XVI, compiled and reported in NIST ASD, are also given as well as excitation energies from the MR-MP calculations by <cit.>.
We can see excellent agreement in all the cases where an experimental energy is available (except for Fe XII, see below). 
The excitation energies from the shifted energies are estimated to be accurate to within 0.05 % and are 
therefore helpful in identifying transitions in spectra from laboratory and astrophysical spectra.
 Finally,  the table gives the
calculated lifetimes in the length and velocity gauges, where the former values are generally believed to be more accurate. 




 §.§ Fe XII line identifications


Table <ref> lists 
our  shifted energies for the 41 lowest  Fe XII  levels (3s^23p^3, 3s3p^4, 3s^23p^23d),
 compared with three sets of  experimental data: those in the NIST database, those suggested by <cit.> and those
available in  the  CHIANTI database version 8 <cit.>.
The  NIST energies are mainly originating from laboratory measurements of B.C. Fawcett and 
collaborators in the 1970s (see, e.g. ). <cit.> used available astrophysical
spectra, in addition to Fawcett's  laboratory plates and semi-empirically adjusted theoretical energies, 
to suggest new identifications of almost all the previously-unkown  3s^23p^23d levels.  
Aside from two exceptions, we can see from Table <ref> an excellent agreement
between the present energies  and
those listed by <cit.>, in terms of both the
suggested experimental energies and the predicted ones,
for the 3s^2 3p^2 3d levels.

Later, <cit.> presented a table of wavelengths
and calibrated radiances of coronal lines observed off the solar limb with  Hinode EIS.  On the basis of these observations, two new Fe XII identifications were suggested, and later introduced in  CHIANTI  version 8. 
The first one is the main decay from the 3s^23p^23d ^4D_3/2 (level 21).
It was tentatively assigned to a self-blend at 249.38 Å,
changing the predicted energy from 448071 cm^-1 (which is very close to our
predicted one) to 447076 cm^-1. Our energy predicts that the line should be
at 248.56 Å. There is indeed a weak line in the coronal EIS spectrum observed at 248.50 Å. The observed intensity, relative to the other Fe XII known lines, is in broad agreement with the theoretical ratio, according to CHIANTI version 8. This weak line would normally be blended with an O V transition in on-disk observations. However, the observations of <cit.> were off-limb where no emission in low-temperature lines such O V was present. Therefore, it is likely that this is the correct assignment.

The second tentative identification from  <cit.> regards the
main decay from the 3s^23p^23d ^4D_5/2 (level 22), with a
weak coronal line observed at 245.89 Å. In this case the
experimental energy is almost the same (452775 cm^-1)
 as our predicted one (452671 cm^-1), so it appears that this tentative
identification is correct.

Finally, the main discrepancy with the  <cit.>
identifications regards the  3s^23p^23d ^2S_1/2 (level 38),
which has a large difference (3674 cm^-1) with our predicted value.
Its main decay, to  the 3s^2 3p^3 ^2P_3/2 level, is a
transition which becomes strong at high densities.
On the basis of their  estimated energy for this level,
<cit.>  assigned this decay to a previously
unidentified line present in the laboratory plates at  201.76 Å.
On the other hand, the original NIST energy was 579630 cm^-1,
i.e. very close to our predicted energy (579827 cm^-1)
and to the value (579853 cm^-1) from the MR-MP calculations by <cit.>.
The NIST energy originated from the identification, on the same
laboratory plates, with the 200.356 Å line by <cit.>.

It is clear that the original identification by  Bromage et al.
was correct. Indeed, this issue was pointed out by
<cit.>.
Excellent agreement was found between the
EBIT spectrum and the CHIANTI atomic data, which included the
 <cit.>  identifications for P-like Fe and
similar ones obtained by Del Zanna on a number of other coronal iron ions.
Only one main exception stood out, the line at 200.356 Å,
which is strong in the EBIT spectra.


Regarding the 3s 3p^3 3d levels, we note that none of them
were previously identified with certainty. Lines within the
3s 3p^4-3s 3p^3 3d transition array are in fact much weaker
compared to the decays from the 3s^2 3p^2 3d levels.
The strongest decay, the dipole-allowed
^4P_5/2–^4D_7/2 line (transition 6–84)
was tentatively identified by  <cit.>   with the
191.045 Å  line, although later  estimates of the
energies  by <cit.>  put this identification in doubt.
The present ab initio energy for the  upper level is 810021 cm^-1.
Applying the same ES shift of Table <ref> (367 cm^-1), we
predict the decay to be at 186.8 Å. Considering the intensity
of this decay and the Hinode EIS observations <cit.>, 
there are only two  possibilities  close in wavelength:
the first is the 186.88 Å line, which is already a known blend of
three transitions (two already from Fe XII); the second is the 187.00 Åline. 
It is very much likely that the second possibility is the correct
identification, given that the 187.00 Å  line is currently
unidentified and has an observed intensity close to the predicted one (according to CHIANTI version 8), relative to the intensities of the known Fe XII lines. 
The energy of the upper level would then be only
522 cm^-1 lower than our prediction.
Moreover, the second strongest transition from these
levels is the decay from the close 3s 3p^3 3d ^4D_5/2 (level 87)
to the 3s 3p^4 ^4P_3/2 (level 7).
Applying the same shift of 522 cm^-1 to this ^4D_5/2 upper level,
we find a wavelength of 189.08 Å, very close to an observed coronal line
at 189.12 Å,  identified by <cit.> 
as an Fe XI transition which was significantly (50 %)  blended.
The predicted intensity of the Fe XII transition
would explain the blend.
If we assumed that the 6–84 transition would blend the 186.88 Å line,
we would expect the 7–87 transition to fall at 189.0 Å, where there is
a coronal line, but its intensity is entirely due to Fe XI, as shown
in  <cit.>.
Finally, a weaker decay of level 87 to level 6 (3s 3p^4   ^4P_5/2)
should also be observable by Hinode EIS at 185.70 Å, assuming
the second option (with a shift of 522 cm^-1). Indeed there is a
weak coronal unidentified line  at 185.68 Å.


Another 3s 3p^3 3d level which should produce a weak but
observable line is the lower  ^4D_7/2 (level 50), with a
decay to the  3s^2 3p^2 3d   ^4P_5/2 (level 27).
Its predicted intensity, using the <cit.>
atomic data, is about 1/10 the intensity of the decay of the
3s^2 3p^2 3d  ^4F_9/2  (the 6–18 transition),
identified by <cit.>   with the  592.6 Å line.
Our predicted energy, with the 367 cm^-1 adjustment, predicts
this decay to be at 592.7 Å.
Given that there are no other obvious coronal lines nearby, and the
fact that the intensity of the  6–18 transition was only able to
explain about 70 % of the observed intensity  <cit.>,
plus the fact that this line is broader than  the other nearby coronal lines,
we conclude that it is very likely that the 27–50 transition is
blending the  592.6 Å line.





 §.§ Transition rates

In Table <ref> (the full
table is available on-line), wavelengths, transition
rates A_ji, weighted oscillator strengths gf_ji and line strength S_ji, the latter in the length form, are given along with branching fractions (BF_ji = A_ji/∑_k=1^j-1 A_jk ) and the uncertainty indicator dT. 
For most of the stronger E1 transitions dT is well below . For the weaker transitions, as
displayed in the scatterplot  of dT versus the line strength S for transitions in
Fe XII  with branching fractions , the uncertainty dT is somewhat larger, from 5 %
percent up to 30 % (Figure <ref>). The weaker E1 transitions are often intercombination
transitions, where the smallness of the rates comes
from cancellations in the contributions to the transition matrix
elements, compare <cit.>, or two-electron-one-photon transitions, which have  zero rate 
in the lowest approximation and where the transition is opened as corrective basis functions are included in the wave function
expansions <cit.>. These two types of transitions are still challenging to theory, requiring very large CSF expansions. 

In Table <ref>, our calculate transition rates and wavelengths for the brightest coronal lines in Fe XII  are compared with the
values given by <cit.> and NIST. There is a good agreement between the current transition rates and the rates given by <cit.>.
There are however a few noticeable differences:  for line 3 - 23 the rate from the current calculation is almost three times larger than the one from <cit.>,
for 2 – 30 the value from the current calculations agrees reasonably well with the value from <cit.>, both being more than two times larger than the value given by NIST.
Looking at the wavelengths we see that the current calculation provide excellent predictions. 
For the last transition (6 – 84) there is a noticeable difference with the wavelength
by <cit.>, as we have previously discussed.





§ SUMMARY AND CONCLUSIONS

We have performed MCDHF and subsequent CI calculations including Breit and QED effects for
states of the 3s^23p^3, 3s3p^4, 3s^23p^23d, 3s3p^33d, 3p^5, 3s^23p3d^2 configurations in
P-like ions from Cr X to Zn XVI. Valence-valence and core-valence electron correlation effects are included in large basis
expansions. Excitation energies, lifetimes, and transition rates are given.
Energies from the CI calculations are in overall excellent agreement
with the few observations available for  the 3s^23p^3, 3s3p^4, 3s^23p^23d levels.
It is clear that the computed wavelengths are accurate enough to directly aid  line identification in the spectra.
In particular, we have reassessed the previous identifications of the important Fe XII 3s^23p^23d levels,
confirming most of the previous suggestions. We have also suggested new identifications of 
a few  3s3p^33d levels, on the basis of our calculated energies, Hinode EIS spectra 
and the <cit.> atomic data.
Further work on the other ions in the sequence is in progress, to see if 
more spectral lines can be identified.



Uncertainties of the transition rates are estimated
 by the relative difference dT between the values in length 
and velocity form. 
For most of the stronger transitions
dT is well below 5 %. For the weaker transitions the uncertainty
dT is somewhat larger, from 5 %  up to 30 %. We are therefore confident 
that the transition rates are highly accurate. Data from the present study will serve
as a benchmark for further calculations.



We acknowledge the support from the National Key Research and Development Program of China under Grant No. 2017YFA0402300, the National Natural Science Foundation of China (Grant Grant No. 11703004 and No. 11674066) and the Nature Science Foundation of Hebei Province, China (A2017201165). This work is also supported by the Swedish research council under contract 2015-04842. K.W. expresses his gratitude for the support from the visiting researcher program at the Fudan University. G. D. Z. acknowledges the support from STFC (UK) through the consolidated grant RG 84192. 

GRASP2K <cit.> is used in the present work.





aasjournal


















clrrrrrrrcccc
	
	
	Energy levels (in cm^-1) relative to the ground state along with radiative lifetime (in s) for the lowest 143 states of Fe12. 
	E_ CI-the present calculations; E_ NIST observed energies listed in the NIST database <cit.>; E_CHI1 and E_CHI2 observed and calculated energies, respectively, listed in the CHIANTI database 
	<cit.>; 
E_MRMP MR-MP calculations by <cit.>; E_MCHF-BP MCHF-BP calculations by <cit.>; E_SS SS calculations by <cit.>;
	τ_CI lifetimes from the present calculations;  τ_CHI2 calculated lifetimes given in the CHIANTI database; 
	τ_MCHF-BP MCHF-BP calculations by Tayal; τ_MRMP MR-MP calculations by Vilkas. 


	Key     Level     E_ CI     E_ NIST     E_ CHI1     E_CHI2     E_MRMP     E_MCHF-BP      E_SS      τ_CI     τ_CHI2     τ_MCHF-BP 
	    τ_MRMP 
	1     3s^2 3p^3(^4S) ^4S_3/2^∘                                 0            0            0            0            0            0            0                      
 
2     3s^2 3p^3(^2D) ^2D_3/2^∘                             41771        41566        41555        41556        41518        41567        41555       1.845E-02       2.257E-02            
 
3     3s^2 3p^3(^2D) ^2D_5/2^∘                             46319        46075        46088        46088        46049        45967        46088       3.259E-01       3.808E-01            
 
4     3s^2 3p^3(^2P) ^2P_1/2^∘                             74372        74109        74107        74107        74137        74060        74107       3.845E-03       4.207E-03            
 
5     3s^2 3p^3(^2P) ^2P_3/2^∘                             80762        80515        80515        80515        80536        80481        80515       1.599E-03       1.688E-03            
 
6     3s ^2S 3p^4(^3P) ^4P_5/2                                  274498       274373       274373       274373       274279       274930       274373       6.118E-10       6.041E-10       6.210E-10       6.750E-10  
 
7     3s ^2S 3p^4(^3P) ^4P_3/2                                  284126       284005       284005       277374       283908       283863       284005       5.659E-10       6.049E-10       5.810E-10       6.250E-10  
 
8     3s ^2S 3p^4(^3P) ^4P_1/2                                  288451       288307       288307       288307       288213       288000       288307       5.355E-10       5.332E-10       5.530E-10       5.920E-10  
 
9     3s ^2S 3p^4(^1D) ^2D_3/2                                  340104       340020       339725       335258       339710       340785       339725       2.717E-10       2.816E-10       2.750E-10       2.990E-10  
 
10    3s ^2S 3p^4(^1D) ^2D_5/2                                  342050       341703       341716       341716       341648       342589       341716       3.011E-10       2.958E-10       3.030E-10       3.290E-10  
 
11    3s ^2S 3p^4(^3P) ^2P_3/2                                  390073       389706       389719       389719       389767       391084       389719       1.063E-10       1.054E-10       1.050E-10       1.210E-10  
 
12    3s^2 3p^2(^3P) ^3P 3d ^2P_1/2                          394712       394120       394360       394360       394282       395860       394360       9.576E-11       9.412E-11       9.530E-11       1.060E-10  
 
13    3s ^2S 3p^4(^1S) ^2S_1/2                                  410814          410401       410401       409948       411569       410401       1.182E-10       1.142E-10       1.170E-10       1.270E-10  
 
14    3s^2 3p^2(^3P) ^3P 3d ^4F_3/2                          427242          427034       427034       427100       430901       426920       5.029E-09       5.516E-09       5.770E-09       5.670E-09  
 
15    3s^2 3p^2(^3P) ^3P 3d ^4F_5/2                          431014          430743       430743       430876       434450       430758       8.827E-09       1.006E-08       1.050E-08       1.020E-08  
 
16    3s^2 3p^2(^3P) ^3P 3d ^4F_7/2                          436549          436088       436088       436404       439674       436088       3.737E-08       4.464E-08       4.620E-08       4.220E-08  
 
17    3s^2 3p^2(^1D) ^1D 3d ^2F_5/2                          443123             440878       443015       447141       443318       9.499E-09       9.583E-09       9.080E-09       9.060E-09  
 
18    3s^2 3p^2(^3P) ^3P 3d ^4F_9/2                          443380          443121       440659       443220       446271       443121       9.728E-03       1.035E-02            
 
19    3s^2 3p^2(^1D) ^1D 3d ^2F_7/2                          447412          447070       444791       447343       450694       461474       3.065E-08       3.378E-08       3.980E-05       3.440E-08  
 
20    3s^2 3p^2(^3P) ^3P 3d ^4D_1/2                          447701             444138       447679       449717       446977       1.469E-09       1.587E-09       1.630E-09       1.670E-09  
 
21    3s^2 3p^2(^3P) ^3P 3d ^4D_3/2                          448757          447076       447076       448737       450906       448071       1.438E-09       1.628E-09       1.680E-09       1.680E-09  
 
22    3s^2 3p^2(^3P) ^3P 3d ^4D_5/2                          453038          452755       452755       452890       455552       451651       2.113E-09       2.625E-09       2.840E-09       2.730E-09  
 
23    3s^2 3p^2(^3P) ^3P 3d ^4D_7/2                          462391          461474       461474       462180       464848       447070       2.001E-06       1.015E-04       5.540E-06       1.120E-05  
 
24    3s^2 3p^2(^1D) ^1D 3d ^2G_7/2                          494743          494518       494518       494339       500315       494518       3.685E-09       4.274E-09       4.640E-09       4.250E-09  
 
25    3s^2 3p^2(^1D) ^1D 3d ^2G_9/2                          497791          497256       497256       497361       503126       497256       4.384E-03       4.630E-03            
 
26    3s^2 3p^2(^3P) ^3P 3d ^2P_3/2                          502205       501800       501800       501800       502033       507797       501800       1.512E-11       1.428E-11       1.410E-11       1.460E-11  
 
27    3s^2 3p^2(^3P) ^3P 3d ^4P_5/2                          512757       512510       512508       512508       512785       519325       512508       1.185E-11       1.133E-11       1.100E-11       1.190E-11  
 
28    3s ^2S 3p^4(^3P) ^2P_1/2                                  514274       513850       513850       513850       514101       519220       513850       1.498E-11       1.418E-11       1.410E-11       1.440E-11  
 
29    3s^2 3p^2(^3P) ^3P 3d ^4P_3/2                          517037       516740       516772       516772       517079       522994       516772       1.173E-11       1.118E-11       1.100E-11       1.170E-11  
 
30    3s^2 3p^2(^3P) ^3P 3d ^4P_1/2                          520038       519770       519767       519768       520062       525504       519767       1.121E-11       1.073E-11       1.040E-11       1.120E-11  
 
31    3s^2 3p^2(^1S) ^1S 3d ^2D_3/2                          526717       526120       526127       526127       526434       531553       526127       5.603E-11       5.832E-11       5.600E-11       6.200E-11  
 
32    3s^2 3p^2(^1S) ^1S 3d ^2D_5/2                          537485       538040       536939       536939       537292       542307       536939       2.900E-11       3.068E-11       3.230E-11       3.370E-11  
 
33    3s^2 3p^2(^1D) ^1D 3d ^2D_3/2                          554413       554030       553906       553906       554428       560514       553906       1.395E-11       1.324E-11       1.290E-11       1.350E-11  
 
34    3s^2 3p^2(^1D) ^1D 3d ^2D_5/2                          555178       554610       554632       554632       554986       561001       554632       2.163E-11       1.925E-11       1.780E-11       1.920E-11  
 
35    3s^2 3p^2(^1D) ^1D 3d ^2P_1/2                          570299       568940       569794       569794       570468       577760       569794       1.475E-11       1.426E-11       1.380E-11       1.510E-11  
 
36    3s^2 3p^2(^3P) ^3P 3d ^2F_5/2                          577311       576740       576733       576733       577403       585741       576733       9.607E-12       9.300E-12       9.010E-12       9.700E-12  
 
37    3s^2 3p^2(^1D) ^1D 3d ^2P_3/2                          578190       577740       577680       580345       577973       585277       577680       1.434E-11       1.348E-11       1.340E-11       1.440E-11  
 
38    3s^2 3p^2(^1D) ^1D 3d ^2S_1/2                          580194       579630       576153       579853       579882       586216       576153       1.475E-11       1.405E-11       1.380E-11       1.440E-11  
 
39    3s^2 3p^2(^3P) ^3P 3d ^2F_7/2                          581737       581180       581171       581171       581819       589794       581171       9.613E-12       9.259E-12       9.010E-12       9.700E-12  
 
40    3s^2 3p^2(^3P) ^3P 3d ^2D_5/2                          604547       603930       603940       603940       604464       612091       603940       1.071E-11       1.032E-11       1.030E-11       1.080E-11  
 
41    3s^2 3p^2(^3P) ^3P 3d ^2D_3/2                          606180       605480       605540       605540       605985       613374       605540       1.098E-11       1.057E-11       1.030E-11       1.430E-11  
 
42    3s ^2S 3p^3(^4S) ^5S 3d ^6D_1/2^∘                626626             613765       626435       626366       605311       2.404E-08       2.765E-08       2.800E-08       2.650E-08  
 
43    3s ^2S 3p^3(^4S) ^5S 3d ^6D_3/2^∘                626868             614078       626687       626673       605626       2.612E-08       3.223E-08       3.130E-08       2.960E-08  
 
44    3s ^2S 3p^3(^4S) ^5S 3d ^6D_5/2^∘                627290             614577       627090       627166       606128       3.673E-08       4.630E-08       4.560E-08       4.060E-08  
 
45    3s ^2S 3p^3(^4S) ^5S 3d ^6D_7/2^∘                627861             615273       627663       627853       606827       7.206E-08       9.611E-08       9.680E-08       8.280E-08  
 
46    3s ^2S 3p^3(^4S) ^5S 3d ^6D_9/2^∘                628724             616260       628538       628828       607820       9.355E-08       1.145E-07       1.130E-07       1.130E-07  
 
47    3p^5 ^2P_3/2^∘                                           636770             627294          637541       616074       1.290E-10       1.360E-10       1.260E-10       
 
48    3p^5 ^2P_1/2^∘                                           651603             641642          651329       630899       1.319E-10       1.359E-10       1.290E-10       
 
49    3s ^2S 3p^3(^2D) ^3D 3d ^4D_5/2^∘                680968             671063          683778       662950       1.666E-09       1.839E-09       1.810E-09       
 
50    3s ^2S 3p^3(^2D) ^3D 3d ^4D_7/2^∘                681593             671652          684317       663573       2.340E-09       2.508E-09       2.460E-09       
 
51    3s ^2S 3p^3(^2D) ^3D 3d ^4D_3/2^∘                681939             671969          684669       663879       1.557E-09       1.726E-09       1.720E-09       
 
52    3s ^2S 3p^3(^2D) ^3D 3d ^4D_1/2^∘                683673             673495          686116       665514       1.842E-09       2.001E-09       1.980E-09       
 
53    3s ^2S 3p^3(^2D) ^3D 3d ^4F_3/2^∘                690715             681077          693867       672503       7.336E-10       7.622E-10       7.330E-10       
 
54    3s ^2S 3p^3(^2D) ^3D 3d ^4F_5/2^∘                693007             683420          696044       674873       7.504E-10       7.844E-10       7.520E-10       
 
55    3s ^2S 3p^3(^2D) ^3D 3d ^4F_7/2^∘                695830             686355          698790       677823       7.680E-10       8.027E-10       7.700E-10       
 
56    3s ^2S 3p^3(^2D) ^3D 3d ^4F_9/2^∘                699589             690188          702435       681683       8.049E-10       8.211E-10       8.050E-10       
 
57    3s ^2S 3p^3(^2D) ^3D 3d ^2S_1/2^∘                723741             715091          727016       707089       3.806E-10       3.898E-10       3.680E-10       
 
58    3s ^2S 3p^3(^2D) ^3D 3d ^4G_5/2^∘                728057             721201          731775       713668       2.566E-10       2.593E-10       2.570E-10       
 
59    3s ^2S 3p^3(^2D) ^3D 3d ^4G_7/2^∘                729029             722212          732757       714678       2.630E-10       2.656E-10       2.630E-10       
 
60    3s ^2S 3p^3(^2D) ^3D 3d ^4G_9/2^∘                730383             723629          734111       716086       2.734E-10       2.747E-10       2.730E-10       
 
61    3s ^2S 3p^3(^2D) ^3D 3d ^4G_11/2^∘               732384             725569          735910       718003       2.883E-10       2.830E-10       2.870E-10       
 
62    3s ^2S 3p^3(^2D) ^3D 3d ^2G_7/2^∘                756749             751470          761329       743686       5.188E-10       5.213E-10       5.280E-10       
 
63    3s ^2S 3p^3(^2D) ^3D 3d ^2G_9/2^∘                756809             751570          761239       743824       4.877E-10       4.847E-10       4.970E-10       
 
64    3s ^2S 3p^3(^2P) ^3P 3d ^4D_1/2^∘                760728             753742          766760       749249       1.287E-10       1.288E-10       1.260E-10       
 
65    3s ^2S 3p^3(^2P) ^3P 3d ^4D_3/2^∘                762125             754888          767794       747455       9.250E-11       8.593E-11       8.680E-11       
 
66    3s ^2S 3p^3(^2P) ^3P 3d ^4D_5/2^∘                763921             756775          769490       749158       6.016E-11       5.232E-11       5.780E-11       
 
67    3s ^2S 3p^3(^2P) ^3P 3d ^4P_1/2^∘                764825             756687          769582       746760       1.757E-10       1.611E-10       1.660E-10       
 
68    3s ^2S 3p^3(^2P) ^3P 3d ^4P_3/2^∘                766070             758580          771465       751398       9.336E-11       1.006E-10       9.790E-11       
 
69    3s ^2S 3p^3(^2P) ^3P 3d ^4P_5/2^∘                771203             763630          776463       756314       4.498E-11       5.154E-11       4.560E-11       
 
70    3s ^2S 3p^3(^2P) ^3P 3d ^2D_3/2^∘                772021             765853          777348       758205       1.253E-10       1.293E-10       1.260E-10       
 
71    3s ^2S 3p^3(^2P) ^3P 3d ^2D_5/2^∘                773320             766983          778955       759741       8.827E-11       8.595E-11       8.920E-11       
 
72    3s ^2S 3p^3(^4S) ^5S 3d ^4D_7/2^∘                775583             768699          781096       761930       1.250E-10       1.190E-10       1.180E-10       
 
73    3s ^2S 3p^3(^2P) ^3P 3d ^4F_9/2^∘                777121             771432          782418       764134       1.227E-10       1.177E-10       1.170E-10       
 
74    3s ^2S 3p^3(^2P) ^3P 3d ^4F_7/2^∘                778390             772442          783801       765403       9.173E-11       9.430E-11       9.170E-11       
 
75    3s ^2S 3p^3(^2P) ^3P 3d ^4F_5/2^∘                779213             773364          784684       766306       9.865E-11       9.748E-11       9.710E-11       
 
76    3s ^2S 3p^3(^2P) ^3P 3d ^4F_3/2^∘                780241             774317          785709       767311       1.034E-10       1.006E-10       1.000E-10       
 
77    3s ^2S 3p^3(^2D) ^3D 3d ^4S_3/2^∘                788073             781907          793590       778031       1.733E-11       1.475E-11       1.570E-11       
 
78    3s ^2S 3p^3(^2D) ^3D 3d ^4P_5/2^∘                789866             782831          795165       776267       1.978E-11       1.832E-11       1.720E-11       
 
79    3s ^2S 3p^3(^2D) ^3D 3d ^4P_3/2^∘                790861             784839          796690       775232       1.326E-11       1.436E-11       1.270E-11       
 
80    3s ^2S 3p^3(^2D) ^1D 3d ^2F_7/2^∘                792345             787182          798425       779422       1.422E-10       1.442E-10       1.410E-10       
 
81    3s ^2S 3p^3(^2D) ^1D 3d ^2F_5/2^∘                792950             787732          798649       780009       7.607E-11       9.339E-11       8.510E-11       
 
82    3s ^2S 3p^3(^2D) ^3D 3d ^4P_1/2^∘                793069             785515          798356       778670       1.183E-11       1.146E-11       1.110E-11       
 
83    3s ^2S 3p^3(^2D) ^1D 3d ^2D_5/2^∘                807707             803238          813626       795699       3.438E-11       3.224E-11       3.500E-11       
 
84    3s ^2S 3p^3(^2P) ^3P 3d ^4D_7/2^∘                810021          800578       804964          817360       797914       1.323E-11       1.287E-11       1.260E-11       
 
85    3s ^2S 3p^3(^2D) ^3D 3d ^2D_3/2^∘                810227          805335       805335          816115       798679       3.897E-11       3.752E-11       3.700E-11       
 
86    3s ^2S 3p^3(^4S) ^5S 3d ^4D_1/2^∘                813443             808143          820581       800951       1.429E-11       1.389E-11       1.350E-11       
 
87    3s ^2S 3p^3(^4S) ^5S 3d ^4D_5/2^∘                813759          804375       808588          820798       801592       1.413E-11       1.364E-11       1.300E-11       
 
88    3s ^2S 3p^3(^4S) ^5S 3d ^4D_3/2^∘                814618             809384          821697       802397       1.332E-11       1.292E-11       1.270E-11       
 
89    3s ^2S 3p^3(^2D) ^3D 3d ^2P_1/2^∘                820046             814316          826827       807026       1.310E-11       1.271E-11       1.240E-11       
 
90    3s ^2S 3p^3(^2D) ^3D 3d ^2P_3/2^∘                820056             814397          827068       806881       1.329E-11       1.307E-11       1.240E-11       
 
91    3s ^2S 3p^3(^2D) ^1D 3d ^2G_7/2^∘                823509             820798          830645       813738       4.593E-11       4.662E-11       4.490E-11       
 
92    3s ^2S 3p^3(^2P) ^3P 3d ^2F_5/2^∘                827269             823124          834929       816285       8.674E-11       8.128E-11       8.460E-11       
 
93    3s ^2S 3p^3(^2D) ^1D 3d ^2G_9/2^∘                831086             829548          837888       822255       5.053E-11       4.738E-11       4.820E-11       
 
94    3s ^2S 3p^3(^2P) ^3P 3d ^2F_7/2^∘                833600             830864          840453       823768       5.786E-11       5.321E-11       5.710E-11       
 
95    3s ^2S 3p^3(^4S) ^3S 3d ^4D_3/2^∘                857471             855285          865754       848276       1.466E-11       1.404E-11       1.360E-11       
 
96    3s ^2S 3p^3(^4S) ^3S 3d ^4D_5/2^∘                857686             855716          865896       848510       1.401E-11       1.333E-11       1.310E-11       
 
97    3s ^2S 3p^3(^4S) ^3S 3d ^4D_7/2^∘                858047             856214          866146       848931       1.466E-11       1.376E-11       1.370E-11       
 
98    3s ^2S 3p^3(^4S) ^3S 3d ^4D_1/2^∘                858979             856605          867067       849567       1.384E-11       1.341E-11       1.280E-11       
 
99    3s ^2S 3p^3(^2D) ^1D 3d ^2D_3/2^∘                862239             860018          870586       853261       1.636E-11       1.543E-11       1.570E-11       
 
100   3s ^2S 3p^3(^2D) ^3D 3d ^2D_5/2^∘                867231             864831          875488       858210       1.634E-11       1.571E-11       1.570E-11       
 
101   3s ^2S 3p^3(^2P) ^3P 3d ^2P_1/2^∘                870038             866782          878856       859991       2.289E-11       2.168E-11       2.230E-11       
 
102   3s ^2S 3p^3(^2D) ^3D 3d ^2F_5/2^∘                871192             869129          880366       862455       1.640E-11       1.524E-11       1.550E-11       
 
103   3s ^2S 3p^3(^2D) ^3D 3d ^2F_7/2^∘                875985             873492          884748       866839       1.411E-11       1.367E-11       1.350E-11       
 
104   3s ^2S 3p^3(^2P) ^3P 3d ^2P_3/2^∘                879252             875782          887637       869164       3.090E-11       2.885E-11       2.900E-11       
 
105   3s^2 3p ^2P 3d^2(^3F) ^4G_5/2^∘                  884704             884958          894124       876786       4.047E-11       3.984E-11       3.870E-11       
 
106   3s^2 3p ^2P 3d^2(^3F) ^4G_7/2^∘                  887850             888150          897162       879950       4.425E-11       4.343E-11       4.240E-11       
 
107   3s ^2S 3p^3(^2P) ^1P 3d ^2D_3/2^∘                890406             889593          900248       881781       1.642E-11       1.529E-11       1.530E-11       
 
108   3s^2 3p ^2P 3d^2(^3F) ^4G_9/2^∘                  892596             892834          901671       884693       5.117E-11       4.798E-11       4.810E-11       
 
109   3s^2 3p ^2P 3d^2(^3P) ^2S_1/2^∘                  892670             892154          901919       886838       1.271E-11       1.198E-11       1.190E-11       
 
110   3s ^2S 3p^3(^2P) ^1P 3d ^2D_5/2^∘                894591             894046          904359       886467       1.705E-11       1.619E-11       1.600E-11       
 
111   3s^2 3p ^2P 3d^2(^3F) ^4G_11/2^∘                 899639             899389          908094       891480       5.247E-11       4.851E-11       4.920E-11       
 
112   3s ^2S 3p^3(^2P) ^1P 3d ^2F_5/2^∘                901175             901637          911473       895165       1.520E-11       1.416E-11       1.410E-11       
 
113   3s^2 3p ^2P 3d^2(^1D) ^2P_3/2^∘                  901708             901218          912848       894223       9.648E-12       9.260E-12       8.950E-12       
 
114   3s ^2S 3p^3(^2P) ^1P 3d ^2F_7/2^∘                902442             903141          912659       896879       1.568E-11       1.482E-11       1.470E-11       
 
115   3s^2 3p ^2P 3d^2(^1D) ^2P_1/2^∘                  912069             911281          922408       904421       9.780E-12       9.384E-12       9.040E-12       
 
116   3s^2 3p ^2P 3d^2(^3P) ^4D_1/2^∘                  933511             933978          945584       926095       1.943E-11       1.808E-11       1.830E-11       
 
117   3s^2 3p ^2P 3d^2(^3P) ^4D_3/2^∘                  935076             935697          947219       927883       1.954E-11       1.819E-11       1.840E-11       
 
118   3s^2 3p ^2P 3d^2(^3P) ^4D_5/2^∘                  937497             938432          949609       930733       1.852E-11       1.769E-11       1.760E-11       
 
119   3s^2 3p ^2P 3d^2(^3P) ^4D_7/2^∘                  942750             943564          954544       935897       1.829E-11       1.735E-11       1.760E-11       
 
120   3s^2 3p ^2P 3d^2(^1D) ^2F_5/2^∘                  943795             946333          955980       938856       1.540E-11       1.416E-11       1.450E-11       
 
121   3s ^2S 3p^3(^2P) ^1P 3d ^2P_3/2^∘                946196             947923          958447       942424       1.001E-11       9.417E-12       9.710E-12       
 
122   3s ^2S 3p^3(^2P) ^1P 3d ^2P_1/2^∘                947486             948891          959236       904421       1.027E-11       9.619E-12       9.580E-12       
 
123   3s^2 3p ^2P 3d^2(^3F) ^4F_3/2^∘                  949240             950416          966517       947260       1.050E-11       9.984E-12       1.480E-11       
 
124   3s^2 3p ^2P 3d^2(^3P) ^4P_1/2^∘                  951071             951340          963223       943706       1.570E-11       1.461E-11       1.480E-11       
 
125   3s^2 3p ^2P 3d^2(^1G) ^2H_9/2^∘                  951338             955124          969677       950047       3.478E-11       2.700E-11       1.000E-11       
 
126   3s^2 3p ^2P 3d^2(^3F) ^4F_5/2^∘                  951419             952569          971163       952879       1.065E-11       1.013E-11       1.340E-11       
 
127   3s^2 3p ^2P 3d^2(^1D) ^2F_7/2^∘                  953092             954959          964994       896879       1.544E-11       1.227E-11       1.460E-11       
 
128   3s^2 3p ^2P 3d^2(^3F) ^4F_7/2^∘                  954273             955735          968063       947779       1.108E-11       1.183E-11       9.990E-12       
 
129   3s^2 3p ^2P 3d^2(^3P) ^4P_3/2^∘                  954662             954800          963356       943041       1.566E-11       1.464E-11       9.650E-12       
 
130   3s^2 3p ^2P 3d^2(^3F) ^4F_9/2^∘                  955740             957386          975476       946809       1.120E-11       1.127E-11       2.940E-11       
 
131   3s^2 3p ^2P 3d^2(^3P) ^4P_5/2^∘                  959371             959981          965428       945234       1.340E-11       1.387E-11       9.750E-12       
 
132   3s^2 3p ^2P 3d^2(^1D) ^2D_3/2^∘                  961709             964696          973880       959673       1.287E-11       1.195E-11       1.220E-11       
 
133   3s^2 3p ^2P 3d^2(^3F) ^2D_5/2^∘                  962689             965102          974987       959886       1.237E-11       1.057E-11       1.130E-11       
 
134   3s^2 3p ^2P 3d^2(^1G) ^2H_11/2^∘                 965831             968595          989184       960769       3.905E-11       3.634E-11       3.490E-11       
 
135   3s^2 3p ^2P 3d^2(^1G) ^2G_7/2^∘                  973479             976467          986346       968843       1.318E-11       1.238E-11       1.240E-11       
 
136   3s^2 3p ^2P 3d^2(^1G) ^2G_9/2^∘                  977416             980179          988863       972709       1.351E-11       1.271E-11       1.230E-11       
 
137   3s ^2S 3p^3(^4S) ^3S 3d ^2D_5/2^∘                985879             989265          999134       984050       8.257E-12       7.707E-12       8.010E-12       
 
138   3s ^2S 3p^3(^4S) ^3S 3d ^2D_3/2^∘                988395             991715         1001920       986385       7.496E-12       7.035E-12       7.340E-12       
 
139   3s^2 3p ^2P 3d^2(^3F) ^4D_7/2^∘                  993058             996707         1006724       989745       8.173E-12       7.619E-12       7.600E-12       
 
140   3s^2 3p ^2P 3d^2(^3F) ^4D_5/2^∘                  994346             997781         1007748       990850       8.121E-12       7.600E-12       7.560E-12       
 
141   3s^2 3p ^2P 3d^2(^3F) ^4D_3/2^∘                  995533             998815         1008725       991932       8.037E-12       7.529E-12       7.470E-12       
 
142   3s^2 3p ^2P 3d^2(^3F) ^4D_1/2^∘                  996341             999367         1009349       992666       7.914E-12       7.280E-12       7.390E-12       
 
143   3s ^2S 3p^3(^2D) ^1D 3d ^2S_1/2^∘                997100             999866         1010157       993536       7.668E-12       7.278E-12       7.120E-12       
 





 

crlrrrrrc
	
	
	
Energy levels (in cm^-1) relative to the ground state along with radiative lifetime (in s) for the lowest 143 states of  Cr X, Mn XI, Fe XII, Co XIII, Ni XIV, Cu XV, Zn XVI. 
	E_ CI1 the present ab initio calculations; E_ CI2 the present calculations where energies of excited states have been shifted by a constant ES given in Table <ref> (see text for more details). E_ NIST observed energies listed in the NIST database <cit.>; E_ MRMP MR-MP calculations by <cit.>; 
	τ_l lifetimes in s from the present calculations in length gauge;  τ_v lifetimes from the present calculations in velocity gauge. 
	Z     Key     Level      E_ CI1     E_ CI2     E_ NIST     
	E_ MRMP     τ_ l     τ_ v  
	28        1       3s^2 3p^3(^4S) ^4S_3/2^∘                               0           0           0        0                     
 
28        2       3s^2 3p^3(^2D) ^2D_3/2^∘                           45978       45633       45767          45729        5.502E-03       
 
28        3       3s^2 3p^3(^2D) ^2D_5/2^∘                           53798       53453       53569          53534        7.165E-02       
 
28        4       3s^2 3p^3(^2P) ^2P_1/2^∘                           85396       85051       85126          85151        1.513E-03       
 
28        5       3s^2 3p^3(^2P) ^2P_3/2^∘                           96909       96564       96630          96678        6.313E-04       
 
28        6       3s ^2S 3p^4(^3P) ^4P_5/2                                316478      316133      316343         316237        4.768E-10       4.631E-10  
 
28        7       3s ^2S 3p^4(^3P) ^4P_3/2                                330975      330630      330837         330739        4.291E-10       4.208E-10  
 
28        8       3s ^2S 3p^4(^3P) ^4P_1/2                                336908      336563            336644        3.988E-10       3.924E-10  
 
28        9       3s ^2S 3p^4(^1D) ^2D_3/2                                392288      391943      391916         391876        2.058E-10       2.019E-10  
 
28       10       3s ^2S 3p^4(^1D) ^2D_5/2                                395915      395570      395567         395492        2.367E-10       2.311E-10  
 
28       11       3s ^2S 3p^4(^3P) ^2P_3/2                                448151      447806      447765         447833        8.714E-11       8.590E-11  
 
28       12       3s ^2S 3p^4(^3P) ^2P_1/2                                453274      452929      452850         452759        7.482E-11       7.389E-11  
 
28       13       3s ^2S 3p^4(^1S) ^2S_1/2                                476429      476084            475600        9.822E-11       9.696E-11  
 
28       14       3s^2 3p^2(^3P) ^3P 3d ^4F_3/2                        485668      485323            485518        2.187E-09       2.159E-09  
 
28       15       3s^2 3p^2(^3P) ^3P 3d ^4F_5/2                        491480      491135            491339        3.886E-09       3.899E-09  
 
28       16       3s^2 3p^2(^3P) ^3P 3d ^4F_7/2                        500093      499748            499953        2.183E-08       2.267E-08  
 
28       17       3s^2 3p^2(^1D) ^1D 3d ^2F_5/2                        505257      504912            505112        4.676E-09       4.709E-09  
 
28       18       3s^2 3p^2(^3P) ^3P 3d ^4F_9/2                        510176      509831            510020        6.386E-03       1.415E-02  
 
28       19       3s^2 3p^2(^1D) ^1D 3d ^2F_7/2                        511825      511480            511727        1.859E-08       1.926E-08  
 
28       20       3s^2 3p^2(^3P) ^3P 3d ^4D_1/2                        512200      511855            512170        6.805E-10       6.728E-10  
 
28       21       3s^2 3p^2(^3P) ^3P 3d ^4D_3/2                        513581      513236            513554        6.835E-10       6.789E-10  
 
28       22       3s^2 3p^2(^3P) ^3P 3d ^4D_5/2                        520172      519827            520055        1.004E-09       1.009E-09  
 
28       23       3s^2 3p^2(^3P) ^3P 3d ^4D_7/2                        534358      534013            534182        1.515E-07       1.531E-07  
 
28       24       3s^2 3p^2(^1D) ^1D 3d ^2G_7/2                        566449      566104            566059        1.764E-09       1.778E-09  
 
28       25       3s^2 3p^2(^1D) ^1D 3d ^2G_9/2                        571637      571292            571224        1.809E-03       2.466E-02  
 
28       26       3s^2 3p^2(^3P) ^3P 3d ^2P_3/2                        572152      571807            571956        1.270E-11       1.264E-11  
 
28       27       3s^2 3p^2(^3P) ^3P 3d ^4P_5/2                        583763      583418      583530         583742        1.033E-11       1.036E-11  
 
28       28       3s^2 3p^2(^3P) ^3P 3d ^2P_1/2                        589420      589075            589258        1.209E-11       1.206E-11  
 
28       29       3s^2 3p^2(^3P) ^3P 3d ^4P_3/2                        589584      589239      589310         589571        1.039E-11       1.041E-11  
 
28       30       3s^2 3p^2(^3P) ^3P 3d ^4P_1/2                        594994      594649      594810         594928        9.934E-12       9.931E-12  
 
28       31       3s^2 3p^2(^1S) ^1S 3d ^2D_3/2                        601140      600795            600866        4.306E-11       4.315E-11  
 
28       32       3s^2 3p^2(^1S) ^1S 3d ^2D_5/2                        616153      615808            615994        1.987E-11       1.989E-11  
 
28       33       3s^2 3p^2(^1D) ^1D 3d ^2D_3/2                        632735      632390      632280         632733        1.167E-11       1.167E-11  
 
28       34       3s^2 3p^2(^1D) ^1D 3d ^2D_5/2                        635023      634678      634430         634755        2.317E-11       2.318E-11  
 
28       35       3s^2 3p^2(^1D) ^1D 3d ^2P_1/2                        648863      648518      648320         648835        1.291E-11       1.295E-11  
 
28       36       3s^2 3p^2(^3P) ^3P 3d ^2F_5/2                        655365      655020            655416        8.404E-12       8.434E-12  
 
28       37       3s^2 3p^2(^1D) ^1D 3d ^2P_3/2                        661229      660884      660710         660991        1.244E-11       1.249E-11  
 
28       38       3s^2 3p^2(^3P) ^3P 3d ^2F_7/2                        663125      662780      662780         663166        8.433E-12       8.467E-12  
 
28       39       3s^2 3p^2(^1D) ^1D 3d ^2S_1/2                        663638      663293            663497        1.247E-11       1.247E-11  
 
28       40       3s^2 3p^2(^3P) ^3P 3d ^2D_5/2                        691152      690807      690560         691050        9.378E-12       9.416E-12  
 
28       41       3s^2 3p^2(^3P) ^3P 3d ^2D_3/2                        692453      692108      691930         692203        9.694E-12       9.734E-12  
 
28       42       3s ^2S 3p^3(^4S) ^5S 3d ^6D_1/2^∘              722107      721762            721955        1.206E-08       1.168E-08  
 
28       43       3s ^2S 3p^3(^4S) ^5S 3d ^6D_3/2^∘              722506      722161            722362        1.215E-08       1.183E-08  
 
28       44       3s ^2S 3p^3(^4S) ^5S 3d ^6D_5/2^∘              723163      722818            723000        1.688E-08       1.659E-08  
 
28       45       3s ^2S 3p^3(^4S) ^5S 3d ^6D_7/2^∘              724067      723722            723908        3.247E-08       3.194E-08  
 
28       46       3s ^2S 3p^3(^4S) ^5S 3d ^6D_9/2^∘              725575      725230            725410        4.099E-08       3.780E-08  
 
28       47       3p^5 ^2P_3/2^∘                                         732838      732493                 1.009E-10       9.934E-11  
 
28       48       3p^5 ^2P_1/2^∘                                         754885      754540                 1.042E-10       1.028E-10  
 
28       49       3s ^2S 3p^3(^2D) ^3D 3d ^4D_5/2^∘              782853      782508                 1.081E-09       1.053E-09  
 
28       50       3s ^2S 3p^3(^2D) ^3D 3d ^4D_3/2^∘              784172      783827                 9.509E-10       9.305E-10  
 
28       51       3s ^2S 3p^3(^2D) ^3D 3d ^4D_7/2^∘              784603      784258                 1.727E-09       1.664E-09  
 
28       52       3s ^2S 3p^3(^2D) ^3D 3d ^4D_1/2^∘              787752      787407                 1.318E-09       1.296E-09  
 
28       53       3s ^2S 3p^3(^2D) ^3D 3d ^4F_3/2^∘              793933      793588                 5.835E-10       5.715E-10  
 
28       54       3s ^2S 3p^3(^2D) ^3D 3d ^4F_5/2^∘              797187      796842                 5.780E-10       5.653E-10  
 
28       55       3s ^2S 3p^3(^2D) ^3D 3d ^4F_7/2^∘              801241      800896                 5.872E-10       5.730E-10  
 
28       56       3s ^2S 3p^3(^2D) ^3D 3d ^4F_9/2^∘              806904      806559                 6.189E-10       6.015E-10  
 
28       57       3s ^2S 3p^3(^2D) ^3D 3d ^2S_1/2^∘              831875      831530                 2.907E-10       2.858E-10  
 
28       58       3s ^2S 3p^3(^2D) ^3D 3d ^4G_5/2^∘              836142      835797                 1.936E-10       1.908E-10  
 
28       59       3s ^2S 3p^3(^2D) ^3D 3d ^4G_7/2^∘              837754      837409                 1.999E-10       1.966E-10  
 
28       60       3s ^2S 3p^3(^2D) ^3D 3d ^4G_9/2^∘              840052      839707                 2.108E-10       2.069E-10  
 
28       61       3s ^2S 3p^3(^2D) ^3D 3d ^4G_11/2^∘             843307      842962                 2.268E-10       2.215E-10  
 
28       62       3s ^2S 3p^3(^2D) ^3D 3d ^2G_7/2^∘              868547      868202                 3.751E-10       3.690E-10  
 
28       63       3s ^2S 3p^3(^2D) ^3D 3d ^2G_9/2^∘              868900      868555                 3.452E-10       3.373E-10  
 
28       64       3s ^2S 3p^3(^2P) ^3P 3d ^4D_1/2^∘              870370      870025                 1.020E-10       1.017E-10  
 
28       65       3s ^2S 3p^3(^2P) ^3P 3d ^4D_3/2^∘              872720      872375                 7.329E-11       7.318E-11  
 
28       66       3s ^2S 3p^3(^4S) ^5S 3d ^4D_5/2^∘              874978      874633                 4.719E-11       4.722E-11  
 
28       67       3s ^2S 3p^3(^2P) ^3P 3d ^4P_1/2^∘              877789      877444                 1.627E-10       1.612E-10  
 
28       68       3s ^2S 3p^3(^2P) ^3P 3d ^4P_3/2^∘              878652      878307                 7.164E-11       7.170E-11  
 
28       69       3s ^2S 3p^3(^2P) ^3P 3d ^4P_5/2^∘              885854      885509                 2.577E-11       2.582E-11  
 
28       70       3s ^2S 3p^3(^2P) ^3P 3d ^2D_3/2^∘              886755      886410                 9.010E-11       8.979E-11  
 
28       71       3s ^2S 3p^3(^2P) ^3P 3d ^2D_5/2^∘              888294      887949                 9.928E-11       9.890E-11  
 
28       72       3s ^2S 3p^3(^4S) ^5S 3d ^4D_7/2^∘              892202      891857                 1.017E-10       1.010E-10  
 
28       73       3s ^2S 3p^3(^2P) ^3P 3d ^4F_9/2^∘              893922      893577                 1.015E-10       1.004E-10  
 
28       74       3s ^2S 3p^3(^2P) ^3P 3d ^4F_7/2^∘              894975      894630                 6.125E-11       6.115E-11  
 
28       75       3s ^2S 3p^3(^2P) ^3P 3d ^4F_5/2^∘              895791      895446                 7.333E-11       7.288E-11  
 
28       76       3s ^2S 3p^3(^2P) ^3P 3d ^4F_3/2^∘              897353      897008                 7.861E-11       7.806E-11  
 
28       77       3s ^2S 3p^3(^2D) ^3D 3d ^4P_3/2^∘              904193      903848                 1.454E-11       1.461E-11  
 
28       78       3s ^2S 3p^3(^2D) ^3D 3d ^4P_5/2^∘              906835      906490                 2.135E-11       2.138E-11  
 
28       79       3s ^2S 3p^3(^2D) ^3D 3d ^4S_3/2^∘              908010      907665                 1.204E-11       1.211E-11  
 
28       80       3s ^2S 3p^3(^2D) ^1D 3d ^2F_7/2^∘              909373      909028                 1.038E-10       1.030E-10  
 
28       81       3s ^2S 3p^3(^2D) ^3D 3d ^4P_1/2^∘              910973      910628                 1.004E-11       1.007E-11  
 
28       82       3s ^2S 3p^3(^2D) ^1D 3d ^2F_5/2^∘              911275      910930                 4.986E-11       4.972E-11  
 
28       83       3s ^2S 3p^3(^2D) ^1D 3d ^2D_5/2^∘              925860      925515                 2.383E-11       2.382E-11  
 
28       84       3s ^2S 3p^3(^2P) ^3P 3d ^4D_7/2^∘              927488      927143                 1.199E-11       1.205E-11  
 
28       85       3s ^2S 3p^3(^2D) ^3D 3d ^2D_3/2^∘              929673      929328                 3.154E-11       3.144E-11  
 
28       86       3s ^2S 3p^3(^4S) ^5S 3d ^4D_1/2^∘              930820      930475                 1.274E-11       1.277E-11  
 
28       87       3s ^2S 3p^3(^2P) ^3P 3d ^4D_5/2^∘              933150      932805                 1.400E-11       1.405E-11  
 
28       88       3s ^2S 3p^3(^4S) ^5S 3d ^4D_3/2^∘              933310      932965                 1.188E-11       1.192E-11  
 
28       89       3s ^2S 3p^3(^2D) ^3D 3d ^2P_3/2^∘              940601      940256                 1.123E-11       1.124E-11  
 
28       90       3s ^2S 3p^3(^2D) ^3D 3d ^2P_1/2^∘              941071      940726                 1.114E-11       1.116E-11  
 
28       91       3s ^2S 3p^3(^2D) ^1D 3d ^2G_7/2^∘              943912      943567                 3.529E-11       3.511E-11  
 
28       92       3s ^2S 3p^3(^2P) ^3P 3d ^2F_5/2^∘              949535      949190                 7.119E-11       7.103E-11  
 
28       93       3s ^2S 3p^3(^2D) ^1D 3d ^2G_9/2^∘              954897      954552                 4.057E-11       4.016E-11  
 
28       94       3s ^2S 3p^3(^2P) ^3P 3d ^2F_7/2^∘              958341      957996                 4.444E-11       4.421E-11  
 
28       95       3s ^2S 3p^3(^4S) ^3S 3d ^4D_3/2^∘              981033      980688                 1.235E-11       1.234E-11  
 
28       96       3s ^2S 3p^3(^4S) ^3S 3d ^4D_5/2^∘              981475      981130                 1.182E-11       1.179E-11  
 
28       97       3s ^2S 3p^3(^4S) ^3S 3d ^4D_7/2^∘              982540      982195                 1.266E-11       1.262E-11  
 
28       98       3s ^2S 3p^3(^4S) ^3S 3d ^4D_1/2^∘              983058      982713                 1.192E-11       1.191E-11  
 
28       99       3s ^2S 3p^3(^2D) ^1D 3d ^2D_3/2^∘              987642      987297                 1.377E-11       1.378E-11  
 
28      100       3s ^2S 3p^3(^2D) ^3D 3d ^2F_5/2^∘              993900      993555                 1.454E-11       1.460E-11  
 
28      101       3s ^2S 3p^3(^2P) ^3P 3d ^2P_1/2^∘              995566      995221                 1.712E-11       1.711E-11  
 
28      102       3s ^2S 3p^3(^2D) ^3D 3d ^2D_5/2^∘              997006      996661                 1.423E-11       1.431E-11  
 
28      103       3s ^2S 3p^3(^2D) ^3D 3d ^2F_7/2^∘             1003694      1003349                1.234E-11       1.240E-11  
 
28      104       3s ^2S 3p^3(^2P) ^3P 3d ^2P_3/2^∘             1009094      1008749                2.539E-11       2.534E-11  
 
28      105       3s^2 3p ^2P 3d^2(^3F) ^4G_5/2^∘               1011058      1010713                2.889E-11       2.896E-11  
 
28      106       3s^2 3p ^2P 3d^2(^3F) ^4G_7/2^∘               1015318      1014973                3.205E-11       3.212E-11  
 
28      107       3s ^2S 3p^3(^2P) ^1P 3d ^2D_3/2^∘             1019286      1018941                1.369E-11       1.373E-11  
 
28      108       3s^2 3p ^2P 3d^2(^3P) ^2S_1/2^∘               1020981      1020636                1.087E-11       1.094E-11  
 
28      109       3s^2 3p ^2P 3d^2(^3F) ^4G_9/2^∘               1022136      1021791                4.219E-11       4.223E-11  
 
28      110       3s ^2S 3p^3(^2P) ^1P 3d ^2D_5/2^∘             1025176      1024831                1.392E-11       1.394E-11  
 
28      111       3s^2 3p ^2P 3d^2(^1D) ^2P_3/2^∘               1030497      1030152                8.268E-12       8.300E-12  
 
28      112       3s ^2S 3p^3(^2P) ^1P 3d ^2F_5/2^∘             1032640      1032295                1.346E-11       1.348E-11  
 
28      113       3s^2 3p ^2P 3d^2(^3F) ^4G_11/2^∘              1032931      1032586                4.393E-11       4.391E-11  
 
28      114       3s ^2S 3p^3(^2P) ^1P 3d ^2F_7/2^∘             1035028      1034683                1.367E-11       1.368E-11  
 
28      115       3s^2 3p ^2P 3d^2(^1D) ^2P_1/2^∘               1045945      1045600                8.436E-12       8.474E-12  
 
28      116       3s^2 3p ^2P 3d^2(^3P) ^4D_1/2^∘               1065442      1065097                1.624E-11       1.632E-11  
 
28      117       3s^2 3p ^2P 3d^2(^3P) ^4D_3/2^∘               1067681      1067336                1.638E-11       1.646E-11  
 
28      118       3s^2 3p ^2P 3d^2(^3P) ^4D_5/2^∘               1070506      1070161                1.480E-11       1.486E-11  
 
28      119       3s^2 3p ^2P 3d^2(^3P) ^4D_7/2^∘               1078127      1077782                1.431E-11       1.437E-11  
 
28      120       3s^2 3p ^2P 3d^2(^1D) ^2F_5/2^∘               1078328      1077983                1.350E-11       1.355E-11  
 
28      121       3s ^2S 3p^3(^2P) ^1P 3d ^2P_3/2^∘             1081784      1081439                8.623E-12       8.675E-12  
 
28      122       3s^2 3p ^2P 3d^2(^3F) ^4F_3/2^∘               1082715      1082370                8.967E-12       9.004E-12  
 
28      123       3s ^2S 3p^3(^2P) ^1P 3d ^2P_1/2^∘             1084139      1083794                8.902E-12       8.957E-12  
 
28      124       3s^2 3p ^2P 3d^2(^3P) ^4P_1/2^∘               1085769      1085424                1.328E-11       1.336E-11  
 
28      125       3s^2 3p ^2P 3d^2(^1G) ^2H_9/2^∘               1085927      1085582                2.757E-11       2.771E-11  
 
28      126       3s^2 3p ^2P 3d^2(^3F) ^4F_5/2^∘               1086265      1085920                9.209E-12       9.250E-12  
 
28      127       3s^2 3p ^2P 3d^2(^3P) ^4P_3/2^∘               1091328      1090983                1.327E-11       1.334E-11  
 
28      128       3s^2 3p ^2P 3d^2(^3F) ^4F_7/2^∘               1091356      1091011                9.827E-12       9.871E-12  
 
28      129       3s^2 3p ^2P 3d^2(^1D) ^2F_7/2^∘               1092504      1092159                1.353E-11       1.358E-11  
 
28      130       3s^2 3p ^2P 3d^2(^3F) ^4F_9/2^∘               1092913      1092568                9.813E-12       9.865E-12  
 
28      131       3s^2 3p ^2P 3d^2(^3F) ^2D_5/2^∘               1097904      1097559                1.038E-11       1.041E-11  
 
28      132       3s^2 3p ^2P 3d^2(^1D) ^2D_3/2^∘               1099783      1099438                1.097E-11       1.099E-11  
 
28      133       3s^2 3p ^2P 3d^2(^3P) ^4P_5/2^∘               1102481      1102136                1.093E-11       1.098E-11  
 
28      134       3s^2 3p ^2P 3d^2(^1G) ^2H_11/2^∘              1107847      1107502                3.245E-11       3.251E-11  
 
28      135       3s^2 3p ^2P 3d^2(^1G) ^2G_7/2^∘               1111720      1111375                1.119E-11       1.122E-11  
 
28      136       3s^2 3p ^2P 3d^2(^1G) ^2G_9/2^∘               1118792      1118447                1.164E-11       1.169E-11  
 
28      137       3s ^2S 3p^3(^4S) ^3S 3d ^2D_5/2^∘             1126985      1126640                7.260E-12       7.307E-12  
 
28      138       3s ^2S 3p^3(^4S) ^3S 3d ^2D_3/2^∘             1130286      1129941                6.400E-12       6.442E-12  
 
28      139       3s^2 3p ^2P 3d^2(^3F) ^4D_7/2^∘               1133768      1133423                7.030E-12       7.069E-12  
 
28      140       3s^2 3p ^2P 3d^2(^3F) ^4D_5/2^∘               1135396      1135051                7.001E-12       7.036E-12  
 
28      141       3s^2 3p ^2P 3d^2(^3F) ^4D_3/2^∘               1137021      1136676                6.854E-12       6.884E-12  
 
28      142       3s^2 3p ^2P 3d^2(^3F) ^4D_1/2^∘               1138048      1137703                6.687E-12       6.717E-12  
 
28      143       3s ^2S 3p^3(^2D) ^1D 3d ^2S_1/2^∘             1139112      1138767                6.648E-12       6.680E-12  
  
 Table <ref> is published in its entirety in the machine-readable format. The values for Z=28 are shown here for guidance regarding its form and content.




rlrrrrr
	
	
	Comparison of excitation energies (in cm^-1) for the lowest 41 levels Fe XII. 
	E_ CI2 the present calculations where energies of excited states have been shifted by a constant ES given in Table <ref> 
	(see text for more details). E_ NIST are the NIST energies.
 E_ DM lists the observed energies recommended by <cit.> 
(values in brackets indicate estimated energies), while 
 E_ CHI lists the observed energies as  in the 
   CHIANTI database version 8 <cit.>. The superscript ^o indicates
energies that appear to be incorrect. 
	Δ E = E_ CI2 - E_ CHI. 
	Key     Level      E_ CI2     
              E_ NIST          E_ DM      E_ CHI     Δ E 
	1      3s^2 3p^3(^4S) ^4S_3/2^∘                             0          0          0            0             0  
  
2       3s^2 3p^3(^2D) ^2D_3/2^∘                         41404      41566      41555        41555         -151  

3       3s^2 3p^3(^2D) ^2D_5/2^∘                         45952      46075      46088        46088         -136  

4       3s^2 3p^3(^2P) ^2P_1/2^∘                         74005      74372      74107        74107         -102  

5       3s^2 3p^3(^2P) ^2P_3/2^∘                         80395      80515      80515        80515         -120  

6       3s ^2S 3p^4(^3P) ^4P_5/2                              274131     274373     274373       274373         -242  

7       3s ^2S 3p^4(^3P) ^4P_3/2                              283759     284005     284005       284005         -246  

8       3s ^2S 3p^4(^3P) ^4P_1/2                              288084     288307     288307       288307         -223  

9       3s ^2S 3p^4(^1D) ^2D_3/2                              339737     340020     339725       339725           12  

10      3s ^2S 3p^4(^1D) ^2D_5/2                              341683     341703     341716       341716          -33  

11      3s ^2S 3p^4(^3P) ^2P_3/2                              389706     389706     389719       389719          -13  

12      3s^2 3p^2(^3P) ^3P 3d ^2P_1/2                      394345     394120     394360       394360          -15  

13      3s ^2S 3p^4(^1S) ^2S_1/2                              410447         410401       410401           46  

14      3s^2 3p^2(^3P) ^3P 3d ^4F_3/2                      426875          426920       427034         -159  

15      3s^2 3p^2(^3P) ^3P 3d ^4F_5/2                      430647          430758       430743          -96  

16      3s^2 3p^2(^3P) ^3P 3d ^4F_7/2                      436182          436088       436088           94  

17      3s^2 3p^2(^1D) ^1D 3d ^2F_5/2                      442756         (443318)        

18      3s^2 3p^2(^3P) ^3P 3d ^4F_9/2                      443013          443121       443121         -108  

19      3s^2 3p^2(^1D) ^1D 3d ^2F_7/2                      447045          447070       447070          -25  

20      3s^2 3p^2(^3P) ^3P 3d ^4D_1/2                      447334         (446977)        

21      3s^2 3p^2(^3P) ^3P 3d ^4D_3/2                      448390         (448071)     447076^o         1314  

22      3s^2 3p^2(^3P) ^3P 3d ^4D_5/2                      452671          451651^o       452755          -84  

23      3s^2 3p^2(^3P) ^3P 3d ^4D_7/2                      462024          461474       461474          550  

24      3s^2 3p^2(^1D) ^1D 3d ^2G_7/2                      494376          494518       494518         -142  

25      3s^2 3p^2(^1D) ^1D 3d ^2G_9/2                      497424          497256       497256          168  

26      3s^2 3p^2(^3P) ^3P 3d ^2P_3/2                      501838     501800      501800       501800           38  

27      3s^2 3p^2(^3P) ^3P 3d ^4P_5/2                      512390     512510      512508       512508         -118  

28      3s ^2S 3p^4(^3P) ^2P_1/2                              513907     513850      513850       513850           57  

29      3s^2 3p^2(^3P) ^3P 3d ^4P_3/2                      516670     516740      516772       516772         -102  

30      3s^2 3p^2(^3P) ^3P 3d ^4P_1/2                      519671     519770      519767       519767          -96  

31      3s^2 3p^2(^1S) ^1S 3d ^2D_3/2                      526350     526120      526127       526127          223  

32      3s^2 3p^2(^1S) ^1S 3d ^2D_5/2                      537118     538040^o     536939       536939          179  

33      3s^2 3p^2(^1D) ^1D 3d ^2D_3/2                      554046     554030      553906       553906          140  

34      3s^2 3p^2(^1D) ^1D 3d ^2D_5/2                      554811     554610      554632       554632          179  

35      3s^2 3p^2(^1D) ^1D 3d ^2P_1/2                      569932     568940^o     569794       569794          138  

36      3s^2 3p^2(^3P) ^3P 3d ^2F_5/2                      576944     576740      576733       576733          211  

37      3s^2 3p^2(^1D) ^1D 3d ^2P_3/2                      577823     577740      577680       577680          143  

38      3s^2 3p^2(^1D) ^1D 3d ^2S_1/2                      579827     579630      576153^o       576153^o         3674  

39      3s^2 3p^2(^3P) ^3P 3d ^2F_7/2                      581370     581180      581171       581171          199  

40      3s^2 3p^2(^3P) ^3P 3d ^2D_5/2                      604180     603930      603940       603940          240  

41      3s^2 3p^2(^3P) ^3P 3d ^2D_3/2                      605813     605480      605540       605540          273  

                                                                



llllllllll
	
	
	Transition wavelengths λ (in Å), transition rates A (in s^-1), weighted oscillator strengths gf and line strengths S (in a.u.) 
	between the lowest 143 states of  Cr X, Mn XI, Fe XII, Co XIII, Ni XIV, Cu XV, Zn XVI. All transition data are in length form. Type is the type of the multipole, BF is the branching fraction from the upper level and
		dT is the relative difference of the transition rates in length and velocity form as given by Eq. (3). Only transitions with BF  ≥ 10^-5 are presented.  
	Z     i     j        Type      
	λ     A     gf     S     BF     dT      
	24      1      2    M1    2.6802E+03    1.298E+01    5.591E-08    3.705E-02    9.984E-01             

24      1      2    E2    2.6802E+03    2.144E-02    9.238E-11    1.059E-02    1.650E-03    1.222E-03

24      1      3    M1    2.5205E+03    3.874E-01    2.214E-09    1.380E-03    6.900E-01             

24      1      3    E2    2.5205E+03    4.305E-02    2.460E-10    2.346E-02    7.667E-02    1.019E-03

24      2      3    M1    4.2302E+04    1.310E-01    2.109E-07    2.206E+00    2.333E-01             

24      1      4    M1    1.5579E+03    6.488E+01    4.722E-08    1.819E-02    6.999E-01             

24      1      4    E2    1.5579E+03    2.118E-02    1.541E-11    3.471E-04    2.285E-04    9.716E-04

24      2      4    M1    3.7203E+03    2.703E+01    1.122E-07    1.032E-01    2.915E-01             

24      2      4    E2    3.7203E+03    5.317E-01    2.206E-09    6.767E-01    5.735E-03    2.859E-02

24      3      4    E2    4.0791E+03    2.441E-01    1.218E-09    4.923E-01    2.633E-03    2.843E-02

24      1      5    M1    1.4835E+03    1.348E+02    1.779E-07    6.528E-02    6.003E-01             

24      2      5    M1    3.3227E+03    6.084E+01    4.028E-07    3.310E-01    2.709E-01             

24      2      5    E2    3.3227E+03    3.521E-01    2.331E-09    5.094E-01    1.568E-03    2.764E-02

24      3      5    M1    3.6060E+03    2.761E+01    2.153E-07    1.920E-01    1.229E-01             

24      3      5    E2    3.6060E+03    7.091E-01    5.529E-09    1.544E+00    3.157E-03    2.675E-02

24      4      5    M1    3.1091E+04    2.717E-01    1.575E-07    1.211E+00    1.210E-03             

24      1      6    E1    4.2735E+02    1.203E+09    1.976E-01    2.780E-01    9.879E-01    2.486E-02

24      2      6    E1    5.0841E+02    3.939E+06    9.158E-04    1.533E-03    3.235E-03    6.181E-02

24      3      6    E1    5.1460E+02    9.554E+06    2.276E-03    3.855E-03    7.848E-03    6.634E-02

24      5      6    E1    6.0026E+02    1.187E+06    3.847E-04    7.603E-04    9.751E-04    9.224E-02

24      1      7    E1    4.1650E+02    1.283E+09    1.334E-01    1.830E-01    9.950E-01    1.842E-02

24      2      7    E1    4.9314E+02    6.565E+05    9.574E-05    1.554E-04    5.092E-04    8.122E-02

24      3      7    E1    4.9895E+02    1.610E+06    2.403E-04    3.947E-04    1.249E-03    7.263E-02

24      4      7    E1    5.6849E+02    4.065E+04    7.878E-06    1.474E-05    3.153E-05    4.612E-02

24      5      7    E1    5.7908E+02    4.112E+06    8.270E-04    1.577E-03    3.190E-03    8.069E-02

24      1      8    E1    4.1144E+02    1.336E+09    6.782E-02    9.186E-02    9.956E-01    1.533E-02

24      2      8    E1    4.8606E+02    1.777E+06    1.259E-04    2.014E-04    1.324E-03    4.299E-02

24      4      8    E1    5.5910E+02    3.597E+06    3.371E-04    6.205E-04    2.680E-03    9.047E-02

24      5      8    E1    5.6934E+02    5.660E+05    5.501E-05    1.031E-04    4.217E-04    1.400E-01

24      1      9    E1    3.4487E+02    7.088E+05    5.055E-05    5.740E-05    2.656E-04    8.030E-03

24      2      9    E1    3.9580E+02    2.387E+09    2.243E-01    2.922E-01    8.944E-01    1.691E-02

24      3      9    E1    3.9954E+02    6.404E+07    6.131E-03    8.064E-03    2.399E-02    1.622E-03

24      4      9    E1    4.4292E+02    2.134E+08    2.511E-02    3.661E-02    7.995E-02    2.784E-02

24      5      9    E1    4.4932E+02    3.808E+06    4.610E-04    6.819E-04    1.427E-03    2.579E-02

24      1     10    E1    3.4371E+02    3.504E+06    3.723E-04    4.213E-04    1.413E-03    1.325E-03

24      2     10    E1    3.9428E+02    3.704E+07    5.179E-03    6.722E-03    1.494E-02    2.730E-02

24      3     10    E1    3.9799E+02    2.055E+09    2.928E-01    3.836E-01    8.289E-01    1.746E-02

24      5     10    E1    4.4736E+02    3.837E+08    6.908E-02    1.017E-01    1.548E-01    3.855E-02

	 Table <ref> is published in its entirety in the machine-readable format. Part of the values for Z=24 are shown here for guidance regarding its form and content.
                                                                
	

	
	
	
llllllllll
	
	                                                         
	Transition wavelengths λ (in Å) and transition rates A (in s^-1) for the brightest lines in Fe XII. Column 6 and 7 transition wavelengths and rates from this work, column 8 and 9  transition wavelengths and rates from <cit.>. λ_CI and A_CI are from this work, 
		λ_DZ and A_DZ from <cit.>.
	Column 10 transition rates from NIST. This table is an adaptation of Table 3 from <cit.>.
 
	i     j     lower level      upper level      Type      
	λ_CI     A_CI     λ_DZ     A_DZ     A_NIST        
	1         2      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^3(^2D) ^2D_3/2^∘                   M1        2394.0        5.415E+01       2406.41  ±  0.06       5.6E+01      4.8E+01   
 
1         3      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^3(^2D) ^2D_5/2^∘                   M1        2158.9        2.071E+00       2169.76  ±  0.05       2.3E+00      1.7E+00   
 
1         5      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^3(^2P) ^2P_3/2^∘                   M1        1238.2        3.447E+02       1242.01  ±  0.01       3.5E+02      3.2E+02   
 
1         4      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^3(^2P) ^2P_1/2^∘                   M1        1344.6        1.888E+02       1349.40  ±  0.02       1.9E+02      1.8E+02   
 
2         5      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^3(^2P) ^2P_3/2^∘                   M1        2564.7        1.978E+02       2566.77  ±  0.13       2.0E+02      2.0E+02   
 
3         5      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^3(^2P) ^2P_3/2^∘                   M1        2903.4        7.923E+01       2904.70  ±  0.17       8.2E+01      
 
2         4      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^3(^2P) ^2P_1/2^∘                   M1        3067.3        7.005E+01       3072.06  ±  0.19       7.2E+01      
 
18       25      3s^2 3p^2(^3P) ^3P 3d ^4F_9/2                  3s^2 3p^2(^1D) ^1D 3d ^2G_9/2                 M1        1837.8        1.176E+02       1847.23  ±  11.19      1.2E+02      
 
16       18      3s^2 3p^2(^3P) ^3P 3d ^4F_7/2                  3s^2 3p^2(^3P) ^3P 3d ^4F_9/2                 M1        14639         8.077E+00      14218.68  ±  258.05     1.2E+01      
 
6        18      3s ^2S 3p^4(^3P) ^4P_5/2                          3s^2 3p^2(^3P) ^3P 3d ^4F_9/2                 E2        592.13        5.606E+01        592.600 ±  0.123      6.2E+01      
 
1         6      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s ^2S 3p^4(^3P) ^4P_5/2                         E1        364.30        1.597E+09        364.467 ±  0.007      1.7E+09      1.6E+09   
 
1         7      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s ^2S 3p^4(^3P) ^4P_3/2                         E1        351.96        1.752E+09        352.106 ±  0.006      1.8E+09      1.7E+09   
 
1         8      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s ^2S 3p^4(^3P) ^4P_1/2                         E1        346.68        1.851E+09        346.852 ±  0.006      1.9E+09      1.8E+09   
 
3        11      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s ^2S 3p^4(^3P) ^2P_3/2                         E1        290.91        7.556E+09        291.010 ±  0.018      7.8E+09      
 
3        10      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s ^2S 3p^4(^1D) ^2D_5/2                         E1        338.15        2.746E+09        338.263 ±  0.013      2.9E+09      2.9E+09   
 
2         9      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s ^2S 3p^4(^1D) ^2D_3/2                         E1        335.20        3.342E+09        335.380 ±  0.035      3.5E+09      3.5E+09   
 
2        12      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^2P_1/2                 E1        283.33        7.176E+09        283.443 ±  0.017      7.4E+09      
 
5        13      3s^2 3p^3(^2P) ^2P_3/2^∘                    3s ^2S 3p^4(^1S) ^2S_1/2                         E1        302.98        7.136E+09        303.135 ±  0.019      7.5E+09      
 
1        27      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4P_5/2                 E1        195.02        8.264E+10        195.119 ±  0.002      8.5E+10      8.6E+10   
 
1        29      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4P_3/2                 E1        193.41        8.448E+10        193.509 ±  0.002      8.7E+10      9.1E+10   
 
1        30      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4P_1/2                 E1        192.29        8.297E+10        192.394 ±  0.002      8.7E+10      9.0E+10   
 
3        39      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^2F_7/2                 E1        186.77        1.040E+11        186.887 ±  0.007      1.1E+11      1.0E+11   
 
3        32      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^1S) ^1S 3d ^2D_5/2                 E1        203.60        2.876E+10        203.728 ±  0.005      2.9E+10      
 
3        16      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4F_7/2                 E1        256.26        2.676E+07        256.410 ±  0.066      2.4E+07      
 
3        19      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2F_7/2                 E1        249.32        3.262E+07        249.388 ±  0.032      3.1E+07      
 
3        34      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2D_5/2                 E1        196.52        3.951E+10        196.640 ±  0.002      4.1E+10      4.9E+10   
 
1        22      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4D_5/2                 E1        220.73        3.661E+08        221.410 ±  0.049      3.1E+08      
 
3        23      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4D_7/2                 E1        240.34        4.996E+05        240.740 ±  0.059      1.8E+05      
 
3        26      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^2P_3/2                 E1        219.35        4.344E+10        219.437 ±  0.015      4.5E+10      
 
3        27      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4P_5/2                 E1        214.39        1.345E+09        214.399 ±  0.003      1.4E+09      1.1E+09   
 
2        30      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4P_1/2                 E1        209.09        4.908E+09        209.113 ±  0.003      4.2E+09      1.8E+09   
 
1        17      3s^2 3p^3(^4S) ^4S_3/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2F_5/2                 E1        225.67        9.734E+07        225.572 ±  0.254      1.1E+08      
 
2        14      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^4F_3/2                 E1        259.42        1.612E+08        259.495 ±  0.068      1.7E+08      
 
2        31      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^2(^1S) ^1S 3d ^2D_3/2                 E1        206.21        7.723E+09        206.368 ±  0.005      8.2E+09      
   
2        36      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^2F_5/2                 E1        186.73        9.696E+10        186.854 ±  0.004      9.9E+10      
 
5        40      3s^2 3p^3(^2P) ^2P_3/2^∘                    3s^2 3p^2(^3P) ^3P 3d ^2D_5/2                 E1        190.92        8.909E+10        191.049 ±  0.008      9.0E+10      
 
2        33      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2D_3/2                 E1        195.07        5.634E+10        195.179 ±  0.002      5.7E+10      6.1E+10   
 
3        24      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2G_7/2                 E1        223.00        2.714E+08        223.000 ±  0.100      2.5E+08      
 
5        37      3s^2 3p^3(^2P) ^2P_3/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2P_3/2                 E1        201.03        5.043E+10        201.140 ±  0.008      5.1E+10      5.1E+10   
 
2        34      3s^2 3p^3(^2D) ^2D_3/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2D_5/2                 E1        194.78        2.582E+09        194.903 ±  0.002      2.2E+09      1.7E+09   
 
3        33      3s^2 3p^3(^2D) ^2D_5/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2D_3/2                 E1        196.81        9.331E+09        196.921 ±  0.002      9.7E+09      1.1E+09   
 
4        37      3s^2 3p^3(^2P) ^2P_1/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2P_3/2                 E1        198.48        1.759E+10        198.581 ±  0.008      1.9E+10      1.6E+10   
 
4        33      3s^2 3p^3(^2P) ^2P_1/2^∘                    3s^2 3p^2(^1D) ^1D 3d ^2D_3/2                 E1        208.32        5.697E+09        208.421 ±  0.003      6.2E+09      6.7E+09   
 
6        84      3s ^2S 3p^4(^3P) ^4P_5/2                          3s ^2S 3p^3(^2P) ^3P 3d ^4D_7/2^∘       E1        186.73        6.985E+10        191.007 ±  0.184      6.8E+10      
 
   


	

