The Configurations 3dⁿ4p in Doubly Ionized Atoms of the Iron Group

Abstract

Experimental levels of the configurations 3dⁿ4p in the third spectra of the iron group were compared with corresponding calculated values. Besides the electrostatic and spin-orbit interactions the αL(L + 1), βQ and T corrections were considered in the individual and general treatments. The insertion of the parameters β and T improved the results by about 25 percent. The root-mean-square (rms) error on fitting 581 experimental levels by means of 21 free interaction parameters was 138 cm⁻¹. Altogether 912 energy levels were predicted.

1. Introduction

Individual and general treatments of the configurations 3dⁿ + 3dⁿ⁻¹4s in the third spectra of the iron group were considered by Y. Shadmi [1]. Preliminary investigations of some configurations 3dⁿ4p in the third spectra of the iron group were performed by Shimoni, Hollander and Abraham [2–4].

Racah and Trees [5–7] have shown that second order effects caused by perturbations on the configuration ln by configurations differing from ln by two electrons can be described by a model interaction of the form

$$2\alpha \left(1_1\cdot 1_2\right)+\beta q_{12}$$

where q₁₂ is the seniority operator [8]. For the configuration dⁿ this becomes

$$\alpha [L(L+1)-6n]+\beta Q$$

where Q is the total seniority operator [8]. If the constant −6nα is incorporated into the height of the configuration the above correction reduces to

$$\alpha L(L+1)+\beta Q$$

The αL(L + 1) correction was first introduced by Trees [5]. The effect of the βQ correction was studied by Racah and Shadmi [9] in the even configurations (3d + 4s)ⁿ of the second spectra of V, Cr, and Fe.

Trees and Jorgenson [10] have shown that the main perturbing configuration on 3s²3p⁶3dⁿ is the configuration 3s²3p⁴3dⁿ⁺². Trees [11] also remarked that the configuration 3s3p⁶3dⁿ⁺¹ should give a perturbation of the same magnitude as 3s²3p⁴3dⁿ⁺². This perturbation is not included in 2α(1₁ · 1₂) + βq₁₂, since now the configurations differ by only one electron. By second-order perturbation theory this effect depends upon the ratio $\frac{H^2}{\text{Δ}E}$, where H is the interaction parameter that appears in the nondiagonal term,

$$H=\frac{R^2(3d3d,3d3s)}{35}$$

and ΔE is the energy difference between the two configurations. The parameter $\frac{H^2}{\text{Δ}E}$ is denoted by T. When calculating the model interaction one uses second-order perturbation theory of degenerate configurations which permits the introduction of these interactions before diagonalizing the energy matrices of the separate configurations. Hence the algebraic matrices of T are not diagonal. It should be noted that T represents a three-body interaction whereas α and β represent two-body interactions.

Rajnak and Wybourne [12], by using second-order perturbation theory obtained expressions for the matrix elements of the electrostatic interaction between the ${\mathcal{l}}^n$ configuration and the different species of perturbing configurations differing from ${\mathcal{l}}^n$ by one or two electrons or electron-holes. Effective three-body interactions were considered to account for the perturbation due to one-electron excitations. Racah and Stein [13] developed an elegant method which considerably simplified the calculations of Rajnak and Wybourne.

The electrostatic and spin-orbit interaction matrices for the configurations dⁿp were available from the matrix library at the Hebrew University. To these matrices the author added the algebraic matrices of the parameters β and T using the program ADDCONF of Racah.

In the first part (the individual treatment, ILS), the algebraic matrices multiplied by radial parameters are diagonalized using the program of Racah [14]. Besides the eigenvalues, the diagonalization routine also yields the derivatives of the eigenvalues with respect to the parameters, the squares of the eigenvectors (percentage compositions) and the calculated Lande g values. The appropriate experimental levels are then fitted to the eigenvalues and using the derivatives obtained in the diagonalization, a least squares optimization of the parameters is performed. In these calculations the improved values of the theoretical energy levels, the corrected values of the parameters including their statistical deviations and the sum of the squares of the differences between the observed and calculated levels are obtained.

Where the Δ_i are the differences between the observed and calculated levels, n is the number of known levels, and m is the number of free parameters, the rms error Δ defined as

$$\text{Δ}=\sqrt{\frac{\sum _{i=1}^n{\text{Δ}}_i^2}{n-m}}$$

is also given by the least squares routine. The same derivatives can be used for several variations in the least squares either imposing different conditions on the parameters or inserting the experimental levels with different assignments. These latter variations are particularly important since they help to determine whether certain experimental levels may be inserted with changed assignments, or in some cases even rejected. The parameters of that variation which yields the best results are used to perform a new diagonalization. This iterative process is continued until mathematical convergence is attained.

If the parameters obtained from the individual treatments can be expressed in terms of simple interpolation formulas a general diagonalization is performed. Then in the general least squares (GLS) all the configurations 3dⁿ4p are considered as one problem by forcing the interaction parameter to vary linearly, or perhaps linearly with small quadratic corrections.

2. Parameters

For the d − d interaction the Slater parameters F² and F⁴ were replaced by

$$B=\frac{1}{441}\left[9F^2(dd)-5F^4(dd)\right]=F_2(dd)-5F_4(dd)$$

$$C=\frac{5}{63}{F}^4(dd)=35F_4(dd)$$

For the d – p interaction the parameters F₂, G₁, and G₃ are given by

$$F_2=\frac{1}{35}{F}^2(dp),G_1=\frac{1}{15}{G}^1(dp)and{G}_3=\frac{3}{245}{G}^3(dp)$$

The parameters of the spin-orbit interactions for the electrons d and the electron p are denoted by ζ_d and ζ_p, respectively. The three correction parameters mentioned previously are denoted by α, β, and T. Finally, the additive parameter chosen to normalize to zero the lowest energy value for a particular configuration, is denoted by A.

3. Discussion and Results

By extrapolating and intrapolating the results of Shimoni, Hollander and Abraham [2–4], approximate initial values for the parameters of the individual treatment were obtained. Since the effects of the parameters β and T had not been considered previously for the third spectra, they were inserted initially here with a value of zero. However, since derivatives with respect to these two parameters were obtained it was possible to study the effects of β and T by letting them vary freely in the least-squares. After two iterations in the individual treatments of all the configurations mathematical convergence was attained for all the parameters. Then on the basis of the results from the individual treatments a general diagonalization was performed in which the parameters B, C, F₂, G₁ G₃, α, and ζ_p varied linearly, whereas ζ_d had in addition a small quadratic correction. The parameters β and T again had an initial value of zero.

The configurations dⁿp consist of 372 theoretical terms splitting into 912 levels. In the general least-squares 225 experimental terms splitting into 581 levels were inserted. The rms error with β and T eliminated was 180.3 cm⁻¹ (28 free parameters) whereas when β and T were allowed to vary linearly the rms error was reduced to 138.4 cm⁻¹ (32 free parameters). The values of β and T in the latter variation were

$$\beta \left(d^{n}p\right)=-285\pm 22-(45\pm 20)(n-5)$$

$$T\left(d^{n}p\right)=-3.2\pm 0.2-(0.6\pm 0.2)(n-5)$$

the uncertainties in these parameters and those following in the text and tables are the rms deviations obtained in the least squares optimization of their values.

Since α and β take into account second order effects by two-body interactions we would expect that if β be allowed to vary the value of α should drop. That is indeed the case as in the variation with β and T eliminated α had values (in units of cm⁻¹)

$${\alpha }_1=82\pm 1+(1.2\pm 0.9)(n-5)$$

whereas by letting β and T vary linearly in the GLS we obtained

$${\alpha }_2=56\pm 1.8-(2.5\pm 1.4)(n-5)$$

In addition C increases when β is inserted. With β and T eliminated the value of C in the GLS was

$$C\left(d^{n}p\right)=3920.8\pm 6.3+(287.1\pm 5.5)(n-5)$$

whereas by letting β and T vary linearly in the GLS we had

$$C\left(d^{n}p\right)=4062.2\pm 9.9+(327.8\pm 8.6)(n-5)$$

This result also is as expected since if we consider the basis configuration d² the only term affected by β is ¹S, which contains 7C.

In figures (1–8) we give values of the parameters versus atomic number obtained from the individual least squares (the vertical lines indicate the rms errors in the values of the parameters). The straight lines (and the parabola for ζ_d) give the values of the parameters from the general least squares. From the graphs it is apparent that the assumption of linearity (with a small quadratic correction for ζ_d) is valid here.

Figure 1.

Parameter B(dd) versus n for 3dⁿ4p configurations (V iii to Cu iii).

Figure 8.

Parameter ζ_p versus n for 3dⁿ4p configurations (Ti iii to Zn iii).

Unless specified otherwise the source of the experimental data is “Atomic Energy Levels,” Vols. I and II by C. E. Moore [15], henceforth referred to as AEL.

The numerical values of all levels and parameters are in cm⁻¹.

We now wish to discuss briefly the results for each configuration.

Sc iii – 4p. This configuration consists of only 1 term splitting into 2 levels. It is useful in providing a value for the parameter ζ_p.

Ti iii – 3d4p. In the configuration dp there are 6 terms splitting into 12 levels, all of which are known experimentally for Ti iii.

In the individual least squares we fitted the 12 experimental levels to the theoretical levels with the same assignments as in AEL. The 4 electrostatic parameters A, F₂, G₁, and G₃ were used to determine the 6 terms. The rms error obtained was 162. Furthermore, all the 12 levels fitted very nicely in the GLS. This result is significant and indicates that the interaction with the configuration sp is not strong here.

V iii – 3d²4p. In the configuration d²p, there are 19 terms splitting into 45 levels. In the paper by Iglesias [16], 18 observed terms splitting into 43 levels are given – the only term missing is (¹S)²P.

The only change in assignment was

$${(}^3\text{F})z^2{\text{D}}_{\frac{5}{2}}\leftrightarrow {(}^3\text{F})z^4{\text{D}}_{\frac{5}{2}}$$

Without the exchange, the deviations of these two levels were −680 for $z^2{\text{D}}_{\frac{5}{2}}$ and 410 for $z^4{\text{D}}_{\frac{5}{2}}$. With the exchange the deviations were reduced to −152 and −128 respectively. In addition, the eigenfunctions of the two levels are strongly mixed.

Since there are no levels based on the core d^{2 1}S, we can only have a maximum of 4 electrostatic parameters of d² to satisfy the 4 terms ³P, ¹D, ³F, and ¹G. These 4 parameters are A, B, C, and α. If we give either T or β freedom then the problem is overdefined. In the individual least squares the mean error in fitting 43 levels with β and T eliminated was 135.

Cr iii – 3d³4p. In the configuration d³p there are 48 theoretical terms splitting into 110 levels. In AEL, there are 27 observed terms splitting into 74 levels. We found it necessary to reject 7 experimental levels.

The following is a list of the 7 levels neglected with their approximate deviations had they been inserted into the last GLS

Name	Value	Deviation
(4F)z5D0	95779	−810
(2G)z1G4	114355	1160
(2H)y1G4	117099	−2090
(2G)z1H5	117187	3840
(2F)v3D2	138362	5740
(2F)v3D3	138976	6710
(b2D)v3F3	150972	1680

In the individual least squares, the deviation obtained for the level (⁴F)z⁵D₀ was −625, whereas the other levels of z⁵D fitted with deviations of less than 50. Thus we felt justified in neglecting the level z⁵D₀. The levels (²G)z¹G₄, (²H)y¹G₄, (²G)z¹H₅ and (²F)v³D₂ had deviations higher than 1000 in the individual least squares, and were thus rejected. In the individual least squares we considered the variation of assigning the level (b²D)v³F₃ to (b²D)¹F₃. However, this required that β have a value of −590, whereas the value of β from the GLS is −195. With the latter value of β, the deviation obtained on assigning v³F₃ to (b²F)¹F is −1056, and thus too high to be considered.

The following changes in assignment were performed

$$\left(a^4\text{F}\right)z^5{\text{D}}_1\leftrightarrow \left(a^4\text{F}\right)z^5{\text{F}}_1$$

$$AEL\left(a^4\text{P}\right)z^3{\text{P}}_2\to {(}^4\text{P})y^5{\text{D}}_2$$

$$AEL\left(a^4\text{P}\right)y^5{\text{D}}_{0,2}\to \left({}^4\text{P}\right)z^3{\text{P}}_{0,2}$$

$$AEL\left(a^4\text{P}\right)y^3{\text{D}}_{1,2,3}\to \left({}^2\text{P}\right)z^3{\text{D}}_{1,2,3}$$

In the first three cases the eigenfunctions of all the levels concerned are mixed considerably. The term (⁴P)³D is definitely higher than the term (²P)³D.

By neglecting the level (²D)v³F₃ at 150972, it was found that β and T did not suffer any appreciable change. Thus, the best result in the individual least squares was obtained on fitting 22 terms splitting into 67 levels with 7 electrostatic and 2 spin-orbit parameters, to yield a mean error of 136.

Mn iii – 3d⁴4p. The configuration d⁴p comprises 68 terms splitting into 180 levels. In AEL there are only 6 observed terms, all based on d^{4 5}D, which split into 25 levels. No individual least squares were performed as then we would have to keep the parameters α, B, and C fixed. The 25 observed levels fit very well in the GLS with the same assignments as in AEL.

Fe iii – 3d⁵4p. In the configuration d⁵p there are 88 terms splitting into 214 levels, of which 75 terms splitting into 189 levels are known experimentally for Fe iii. All the observed levels fit well with the following changes in assignment:

$$\left(a^4\text{P}\right)z^5{\text{D}}_3\leftrightarrow \left(a^4\text{G}\right)z^5{\text{F}}_3$$

$$\left(a^2\text{I}\right)z^3{\text{I}}_{6,7}\leftrightarrow \left(a^2\text{I}\right)z^3{\text{K}}_{6,7}$$

$$\left(a^4\text{F}\right)y^5{\text{G}}_5\leftrightarrow \left(a^2\text{F}\right)y^3{\text{G}}_5$$

$$AEL\left(b^2\text{F}\right)t^3{\text{F}}_4\to \left(b^2\text{F}\right)w^1{\text{G}}_4$$

$$\text{AEL}\left(a^2\text{H}\right)x^1{\text{G}}_4\to \left(b^2\text{F}\right)t^3{\text{F}}_4$$

It should be emphasized that in each of the changed levels the composition is never pure, but contains a contribution of that level which has the same assignment as that given in AEL. In general the mixing in this configuration is very strong. Racah [17] has shown that for d⁵, or equivalently for d⁵p, all diagonal second-order effects are well represented by two-body interactions. Thus, the parameter T has little if any significance here. In the individual least squares the mean error was 186 with β eliminated, and 144 when β was allowed to vary freely. Then β assumed a value of −292 ± 23.

Co iii – 3d⁶4p. From 68 theoretical terms splitting into 180 levels there are 33 experimental terms splitting into 95 levels.

The two levels ${\text{(}}^3\text{P)}{y}^4{P}_{\frac{5}{2}}$ and ${\text{(}}^3\text{P)}{z}^2{D}_{\frac{5}{2}}$ are given with question marks in AEL. As they would yield deviations of around −800 and −600 respectively, if inserted into the GLS, they were neglected.

The following changes in assignment were performed:

$${(}^3\text{H})z^4{\text{H}}_{\frac{9}{2},}{{}_{\frac{11}{2},}}_{\frac{13}{2}}\leftrightarrow {(}^3\text{H})z^4{\text{I}}_{\frac{9}{2},}{{}_{\frac{11}{2},}}_{\frac{13}{2}}$$

$${(}^3\text{G)}{x}^4{G}_{\frac{9}{2}}\leftrightarrow {(}^3\text{G)}{x}^4{\text{F}}_{\frac{9}{2}}$$

$${(}^1\text{I})x^2{\text{H}}_{\frac{9}{2},}{}_{\frac{11}{2}}\leftrightarrow \left({\text{A}}^1\text{G}\right)w^2{\text{H}}_{\frac{9}{2},}{}_{\frac{11}{2}}$$

$$AEL{(}^3{\text{P}}^{\prime })z^{\text{4}}{\text{S}}_{\frac{3}{2}}\to {\left({\text{B}}^3\text{P}\right)}^4{\text{D}}_{\frac{3}{2}}$$

$$\text{AEL}\left({}^3{\text{P}}^{\prime }\right)x^4{\text{P}}_{\frac{5}{2}}\to {\left({\text{B}}^3\text{P}\right)}^4{\text{D}}_{\frac{5}{2}}$$

In each of the first three exchanges there was considerable mixing of the eigenfunctions involved.

The calculated values of the levels $\left({\text{B}}^3\text{P}\right){}^4{\text{S}}_{\frac{3}{2}}$ and $\left({\text{B}}^3\text{P}\right){}^4{\text{P}}_{\frac{5}{2}}$ are 161611 and 164334, respectively. Thus, the two levels $z^4{\text{S}}_{\frac{3}{2}}$ and $x^4{P}_{\frac{5}{2}}$ cannot be fitted to the theoretical levels with the same assignments. The only possible assignment for the level (3P′)z⁴S is the theoretical level consisting of a mixture of ${\left({\text{B}}^3\text{P}\right)}^4{\text{D}}_{\frac{3}{2}}$ and ${\left({\text{B}}^3\text{F}\right)}^4{\text{D}}_{\frac{3}{2}}$. In the GLS the deviation for this level is −282. Similarly the level $\left(3{\text{P}}^{\prime }\right)x^4{\text{P}}_{\frac{5}{2}}$ was assigned to the same theoretical term as z⁴S with J equal to $\frac{5}{2}$ giving a deviation of 120 in the GLS.

In the individual least squares β and T have a marked effect. On fitting 93 levels using 7 electrostatic parameters and 2 spin-orbit parameters (β and T eliminated) the mean error was 176. When β and T were allowed to vary freely, the mean error was reduced to 130. The values of β and T in that variation were

$$\beta =-424\pm 86$$

$$T=-4.8\pm 0.6$$

Ni iii – 3d⁷4p. From 48 predicted terms splitting into 110 levels, Shenstone [18] gives 43 experimental terms which split into 95 levels. The following 3 levels were rejected:

$${{(}^2\text{P})}^3{\text{P}}_2)\text{\hspace{0.17em}at\hspace{0.17em}}141112.5?$$

$$\left(b^2\text{D}\right)u^3{\text{D}}_2\text{\hspace{0.17em}at }173062.0?$$

$$\left(b^2\text{D}\right)u^3{\text{D}}_3\text{\hspace{0.17em}at }172916.9?$$

The calculated level (²P)³P₂ is at 133902, and since for J equal to 2 all the theoretical levels in the vicinity of 141000 have corresponding experimental levels, the level (²P)³P₂ was rejected. Similarly the calculated levels (b²D)u³D_{2, 3} are at 183976 and 184740, respectively, and since there are no theoretical levels in the vicinity of 173000, the levels u³D_{2, 3} could not be inserted into the least-squares calculations.

Shenstone [18] mentions that two strong lines should be due to transitions between the odd levels z³I₇, z³H₆ and the even levels a³H₆, a³G₅. Shenstone then attributes these two lines as being due to a³G₅ − z³H₆ (56304.2 cm⁻¹) and a³H₆ − z³I₇ (57044.7 cm⁻¹). Thus, he obtains the levels (²G)z³H₆ at 131428 and (²H)z³I₇ at 138731. However, from our initial diagonalization the level (²H)z³I₇ was at 137842 and the level (²G)z³H₆ was at 131901. This shows that the transitions to which Shenstone attributes these two lines should be interchanged. Then one obtains the experimental levels (²H)z³I₇ at 137990.6 and (²G)z³H₆ at 132168.9. In the GLS these fitted with deviations of 154 and 263, respectively.

As suggested by Professor Racah the two strong lines given by Shenstone at 147723 cm⁻¹ and 145094 cm⁻¹ correspond to the transitions (²F)¹F₃ − a^lD₂ and (²F)¹F₃ − a³P_2′, respectively. Then it follows that the experimental level (²F)¹F should have a value of 161755. In the GLS this level fitted with a deviation of only 20. The following changes in assignment were performed:

$$1.{(}^4\text{P)}{y}^3{\text{D}}_{2,3}\leftrightarrow {(}^4\text{P)}{z}^5{\text{P}}_{2,3}$$

$$2.\text{\hspace{0.17em}\hspace{0.17em}Shen.\hspace{0.17em}\hspace{0.17em}}{(}^4\text{P)}{z}^3{\text{P}}_{\text{0}}\to {{(}^2\text{P)}}^1{\text{S}}_0$$

$$3.\text{\hspace{0.17em}\hspace{0.17em}Shen.\hspace{0.17em}\hspace{0.17em}}{(}^2\text{P)}{z}^1{\text{P}}_1\to {{\text{(}}^2\text{P)}}^3{\text{S}}_1$$

$$4.\text{\hspace{0.17em}\hspace{0.17em}Shen.\hspace{0.17em}}{\text{(}}^2\text{P)}{y}^3{\text{P}}_1\to {{\text{(}}^2\text{P)}}^1{\text{P}}_1$$

$$5.{(}^2\text{F)}{w}^3{\text{F}}_2\leftrightarrow {(}^2\text{F)}{w}^1{\text{D}}_2$$

$$6.{(}^2\text{F)}{w}^3{\text{F}}_3\leftrightarrow {(}^2\text{F)}{v}^3{\text{D}}_3$$

$$7.\text{\hspace{0.17em}Shen}{\text{. (}}^2\text{F)}{w}^3{\text{F}}_4\to {{\text{(}}^2\text{F)}}^3{\text{G}}_4$$

In the first case there is considerable mixing between the eigenfunctions of (⁴P)y³D and (⁴P)z⁵P. The predicted level (⁴P)³P₀ is at 135695 cm⁻¹, and thus the experimental level z³P₀ at 138147 cm⁻¹ cannot be assigned to the theoretical level with the same term designation. This level fits quite well to the theoretical level (²P)¹S as indicated by change 2. It should be noted that the eigenfunction of (²P)¹S contains 39 percent of (⁴P)³P.

A variation was considered to fit the level (²P)z¹P to the theoretical level with the same term designation and perform the change (²P)y³P₁ → (²P)³S₁. However, the deviations for both levels were much larger than the deviations with changes 3 and 4 (−167 for the level (²P)³S and 22 for the level (²P)z¹P).

When the levels of the term (²F)w³F were assigned to the theoretical levels of the same term designation, the deviations were almost 1000. Since such high deviations are completely incompatible with the other results obtained, we performed the changes 5, 6, and 7, thus completely splitting the term (²F)w³F. It should be noted, however, that in all these changes the parent, ²F, remains the same.

In the individual least squares, on inserting 93 experimental levels with β and T eliminated, the mean error was 169. When β and T were allowed to vary freely the mean error was reduced to 136. In that variation the values of β and T were

$$\beta =-413\pm 63$$

$$T=-4.9\pm 0.6$$

Cu iii – 3d⁸4p. Of the 19 predicted terms of d⁸p, the only experimental term missing in Cu iii is (¹S)²P.

The only change in assignment was

$${\text{(}}^3\text{P)}{x}^2{\text{D}}_{\frac{3}{2}}\leftrightarrow {(}^3\text{P})y^2{\text{P}}_{\frac{3}{2}}$$

The eigenfunctions of these two levels are strongly mixed.

As for d²p, since there are no levels based on the parent (d²)¹S, it is not possible to let either β or T change freely.

In the individual least squares, the mean error on fitting 43 levels with β and T eliminated was 126. For the values of β and T fixed at −427 and −4.9 respectively (the values obtained for those parameters in the first GLS) the mean error dropped only to 125.

This result is as expected since the inclusion of β affects only the term d⁸(^lS), which is not known experimentally, and T reduces in this case to a two-body interaction, the effect of which is absorbed by the other d⁸ parameters.

Zn iii – 3d⁹4p. In this configuration all 12 predicted levels are known. The following changes in assignment were performed:

$${1.}^3{\text{D}}_2{\leftrightarrow }^1{\text{D}}_2$$

$${2.}^3{\text{D}}_3{\leftrightarrow }^1{\text{F}}_3$$

In both cases there was mixing between the eigenfunctions of the levels involved.

In the individual least squares using the 4 electrostatic parameters A, F₂, G₁, and G₃ as well as the 2 spin-orbit parameters ζ_d and ζ_p, the mean error was 105.

Ga iii – 3d¹⁰4p. Like Sc iii – p this configuration consists of only 1 term splitting into 2 levels, and is useful in providing a value for ζ_p.

4. Table Entries

The numerical values of all levels and parameters given in the following tables are in units of cm⁻¹

1. Parameters: Tables 1–10

Table 1.

Parameters of Ti iii – 3d4p

Parameter	GDIAG 1	ILS 1	GLS 1	GLS’ 1	GLS’ 2
A	79440	78917 ± 52	78938	79016	78999
F2	460	437 ± 10	443	442	441
G1	410	423 ± 13	409	408	407
G3	50	48 ± 4	48	49	50
$\alpha$	84	Fix 84	78	66	68
ζd	115	154 ± 58	136	135	139
ζp	359	379 ± 206	334	336	328
Δ		162

Table 10.

General parameters of the third spectra of the iron group

Parameter	GDIAG 1	GLS 1	GLS’ 1	GLS’ 2
B	1076	1071.4± 1.5	1070.0± 1.3	1068.5± 1.3
ΔB	55	55.8± 1.1	50.6± 0.9	50.9± 0.9
C	3926	3920.8± 6.3	4068.8± 10.0	4062.2± 9.9
ΔC	288	287.1± 5.5	326.0± 8.5	327.8± 8.6
F2	484	479.3± 2.2	477.5± 1.8	477.0± 1.8
ΔF2	6	9.3± 1.1	8.8± 0.9	8.9± 0.9
G1	410	404.8± 2.1	403.4± 1.7	402.7± 1.7
ΔG1	0	−0.9± 1.1	−1.3± 0.9	−1.0± 0.9
G3	58	55.6± 0.7	56.0± 0.6	56.0± 0.6
ΔG3	2	1.5± 0.5	1.6± 0.4	1.6± 0.4
α	84	82.2± 1.1	55.9± 1.8	57.4± 1.7
Δα	0	1.2± 0.9	−2.5± 1.4	−2.9± 1.4
β	0	Fix 0	−323.5 ± 23.6	−285.0 ± 21.7
Δβ	0	Fix 0	−34.5 ± 20.2	−45.1 ± 20.5
T	0	Fix 0	−3.3± 0.2	−3.2± 0.2
ΔT	0	Fix 0	−0.5± 0.2	−0.6± 0.2
ζd	561	558.0 ± 17.5	560.9 ± 13.8	560.3 ± 13.5
Δ1ζd	125	115.2± 5.1	115.9± 4.1	115.4± 4.0
Δ2ζd	9	6.4± 2.5	6.3± 2.0	6.5± 2.0
ζp	691	648.2 ± 22.6	648.4 ± 17.9	639.5 ± 17.7
Δζp	83	76.3 ± 11.0	78.1 ± 8.7	78.1 ± 8.6
Δ		180.3	140.1	138.4

In the general diagonalization all the parameters with the exception of ζ_d had approximate expressions of the form

$$P\left(d^{\prime \prime }p\right)=P+(n-5)\text{Δ}P$$

In the general least squares then only P and ΔP were the independent parameters.

For ζ_d we had

$${\zeta }_d\left(d^{\prime \prime }p\right)={\zeta }_d+(n-5){\text{Δ}}_1{\zeta }_d+\left[{(n-5)}^2-10\right]{\text{Δ}}_2{\zeta }_d$$

Here ζ_d, Δ₁ζ_d and Δ₂ζ_d were the independent parameters in the general least squares.

The numerical values of the parameters for the initial general diagonalization are given in the column GDIAG 1.

The columns ILS1 and GLS1 give the values of the parameters of the initial iteration with β and T eliminated, in the individual and general least squares, respectively. The columns ILS’1 and GLS’1 give the values of the parameters of the initial iteration with β and T free to change in the individual and general least squares respectively.

The parameters as given in GLS’1 were taken for the general diagonalization of the final iteration. The column GLS’2 gives the values of the parameters in the general least squares of the final iteration.

2. Levels: Tables 11–21

Table 11.

Observed and calculated levels of SC iii 4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
4p	1/2; 3/2	100 100		62102 62576	62152 62526	−50 50	0.667 1.333

Table 21.

Observed and calculated levels of Ga iii 3d¹⁰4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(1S)p2P	1/2 3/2	100 100		65167 66885	65254 66798	−87 87	0.667 1.333

In the column “NAME” the calculated designation of the term is given. Whenever terms of the parent dⁿ have different seniorities these are denoted by the letters A and B (for d^{5 2}D by A, B, and C), the higher calculated term being designated by A. Whenever a calculated term has a corresponding experimental term, the small letters z, y, x … are used as in AEL [13].

The entries in the columns “J”, “OBSERVED”, and “CALCULATED” are self-evident. In the column “PERCENTAGE”, for each calculated level either the three highest contributions or all those contributions exceeding 7 percent are given.

Whenever the experimental and calculated term designations differ, the experimental designation is entered in the column “AEL” using the notation of C. Moore [13]. In many instances the exchanges involve complete terms rather than isolated levels. Unless specified otherwise the entries in the column “AEL” pertain to exchanges in terms. The column “O—C” gives the difference between the observed and calculated values of the levels. The column “LANDE C”, gives the calculated Lande g-values.

The entries are in ascending order of magnitude of the calculated terms.

Figure 2.

Parameter C(dd) versus n for 3dⁿ4p configurations (V iii to Cu iii).

Figure 3.

Parameter F₂(dp) versus n for 3dⁿ4p configurations (Ti iii to Zn iii).

Figure 4.

Parameter G₁(dp) versus n for 3dⁿ4p configurations (Ti iii to Zn iii).

Figure 5.

Parameter G₃(dp) versus n for 3dⁿ4p configurations (Ti iii to Zn iii).

Figure 6.

Parameter α versus n for 3dⁿ4p configurations (V iii to Cu iii).

Figure 7.

Parameter ζ_d versus n for 3dⁿ4p configurations (Ti iii to Zn iii).

Table 2.

Parameters of V iii – 3d²4p

Parameter	GDIAG 1	ILS 1	GLS 1	GLS’ 1	GLS’ 2
A	95958	95900 ± 43	95992	96387	96313
B	911	880 ± 4	903	918	915
C	3062	3183 ± 33	3060	3091	3078
F2	466	454 ± 4	452	451	450
G1	410	416 ± 5	408	407	405
G3	52	49 ± 2	51	51	51
α	84	72 ± 5	79	63	62
β	0	Fix 0	Fix 0	−220	−150
T	0	Fix 0	Fix 0	−1.7	−1.3
ζd	177	220 ± 24	206	207	208
ζp	442	371 ± 64	420	414	406
Δ		135

Table 3.

Parameters of Cr iii – 3d³4p

Parameter	GDIAG 1	ILS 1	GLS 1	GLS’ 1	GLS’ 2
A	113164	113160 ± 70	113142	113633	113559
B	966	962 ± 4	960	969	966
C	3350	3354 ± 21	3347	3417	3406
F2	472	458 ± 7	461	460	459
G1	410	403 ± 6	407	406	405
G3	54	57 ± 2	53	53	53
α	84	81 ± 3	80	61	63
β	0	Fix 0	Fix 0	−254	−195
T	0	Fix 0	Fix 0	−2.2	−1.9
ζd	257	272 ± 28	290	292	291
ζp	525	496 ± 58	496	492	486
Δ		136

Table 4.

Parameters of Mn iii – 3d⁴4p

Parameter	GDIAG 1	GLS 1	GLS’ 1	GLS’ 2
A	138047	137848	138256	138187
B	1021	1015	1019	1017
C	3638	3634	3743	3734
F2	478	470	469	468
G1	410	406	405	404
G3	56	54	54	54
α	84	81	58	60
β	0	Fix 0	−289	−240
T	0	Fix 0	−2.8	−2.5
ζd	355	385	389	387
ζp	608	572	570	562

Table 5.

Parameters of Fe iii – 3d⁵4p

Parameter	GDIAG 1	ILS 1	ILS’ 1	GLS 1	GLS’ 1	GLS’ 2
A	126350	125832 ± 91	125710 ± 74	125843	125781	125725
B	1076	1071 ± 2	1068 ± 2	1071	1070	1068
C	3926	3920 ± 9	4071 ± 9	3921	4069	4062
F2	484	477 ± 4	474 ± 3	479	478	477
G1	410	404 ± 4	397 ± 3	405	403	403
G3	58	55 ± 1	57 ± 1	56	56	56
α	84	82 ± 1	55 ± 1	82	56	57
β	0	Fix 0	−292 ± 23	Fix 0	−323	−285
T	0	Fix 0	Fix 0	Fix 0	−3.3	−3.2
ζd	471	484 ± 30	521 ± 23	494	498	494
ζp	691	730 ± 43	692 ± 34	648	648	640
Δ		186	144

Table 6.

Parameters of Co iii – 3d⁶4p

Parameter	GDIAG 1	ILS 1	ILS’ 1	GLS 1	GLS’ 1	GLS’ 2
A	131330	131748 ± 131	131593 ± 106	131512	131544	131507
B	1131	1139 ± 6	1120 ± 5	1127	1121	1119
C	4214	4177 ± 15	4426 ± 32	4208	4395	4390
F2	490	506 ± 5	497 ± 4	488	486	486
G1	410	412 ± 6	403 ± 5	403	402	402
G3	60	55 ± 2	57 ± 1	57	58	58
α	84	88 ± 3	47 ± 6	83	53	55
β	0	Fix 0	−424 ± 86	Fix 0	−358	−330
T	0	Fix 0	−4.8 ± 0.6	Fix 0	−3.8	−3.8
ζd	605	641 ± 30	672 ± 30	615	621	617
ζp	774	662 ± 56	672 ± 43	724	727	718
Δ		176	130

Table 7.

Parameters of Ni iii – 3d⁷4p

Parameter	GDIAG 1	ILS 1	ILS’ 1	GLS 1	GLS’ 1	GLS’ 2
A	129516	129509 ± 52	129715 ± 47	129556	129751	129733
B	1186	1176 ± 4	1166 ±3	1182	1171	1170
C	4502	4530 ± 18	4762 ± 32	4495	4721	4718
F2	496	499 ± 5	499 ± 4	497	495	495
G1	410	395 ± 5	398 ± 4	403	401	401
G3	62	59 ± 2	58 ± 2	59	59	59
α	84	83 ± 3	49 ± 5	84	51	52
β	0	Fix 0	−413 ± 63	Fix 0	−393	−375
T	0	Fix 0	−4.9 ± 0.6	Fix 0	−4.4	−4.2
ζd	757	703 ± 26	726 ± 18	750	755	751
ζp	857	772 ± 54	755 ± 38	800	805	796
Δ		169	136

Table 8.

Parameters of Cu iii – 3d⁸4p

Parameter	GDIAG 1	ILS 1	GLS 1	GLS’ 1	GLS’ 2
A	131863	131864 ± 45	131847	132122	132123
B	1241	1247 ± 5	1238	1222	1221
C	4790	4764 ± 35	4782	5047	5046
F2	502	498 ± 4	507	504	503
G1	410	402 ± 5	402	400	401
G3	64	64 ± 3	60	61	61
α	84	84 ± 5	86	48	49
β	0	Fix 0	Fix 0	−427	−420
T	0	Fix 0	Fix 0	−4.9	−5.0
ζd	927	890 ± 5	897	902	898
ζp	940	862 ± 49	877	883	874
Δ		126

Table 9.

Parameters of Zn iii – 3d⁹4p

Parameter	GDIAG 1	ILS 1	GLS 1	GLS’ 1	GLS’ 2
A	142734	142277 ± 39	142285	142529	142531
F2	508	504 ± 6	516	513	512
G1	410	408 ± 6	401	398	399
G3	66	60 ± 6	62	63	62
α	84	Fix 84	87	46	46
ζd	1215	1095 ± 39	1056	1062	1059
ζp	1023	1013 ± 72	953	961	952
Δ		105

Table 12.

Observed and calculated levels of Ti iii 3d4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(2D)z1D	2	98		75197	75413	−216	0.997
(2D)z3D	1	100		77000	76926	74	0.501
	2	95 + 4(2D)3F		77167	77096	71	1.144
	3	93 + 6(2D)3F		77424	77334	90	1.317
(2D)z3F	2	94 + 5(2D)3D		77421	77444	−23	0.693
	3	94 + 6(2D)3D		77746	77728	18	1.100
	4	100		78159	78107	52	1.250
(2D)z3P	0	100		80944	81010	−66
	1	99		80938	81011	−73	1.496
	2	100		81024	81086	−62	1.499
(2D)z1F	3	100		83117	82791	326	1.000
(2D)z1P	1	99		83796	83987	−191	1.003

Table 13.

Observed and calculated levels of V iii 3d²4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(3F)z4G	5/2	98		85524	85539	−15	0.579
	7/2	99		85876	85871	5	0.986
	9/2	100		86306	86279	27	1.172
	11/2	100		86809	86753	56	1.273
(3F)z4F	3/2	98		86717	86651	66	0.407
	5/2	99		86938	86866	72	1.028
	7/2	99		87219	87147	72	1.236
	9/2	99		87544	87490	54	1.332
(3F)z2F	5/2	85 + 6(1D)2F + 4(3F)2D		87881	87952	−71	0.878
	7/2	88 + 5(1D)2F + 5(3F)4D		88328	88424	−96	1.156
(3F)z2D	3/2	59 + 29(3F)4D + 9(3P)2D		88559	88720	−161	0.913
	5/2	52 + 35(3F)4D + 9(3P)2D	(3F)z4D	89458	89610	−152	1.260
(3F)z4D	1/2	96 + 4(:3F)4D		89006	89026	−20	0.001
	3/2	67 + 25(3F)2D + 4(3P)2D		89193	89264	−71	1.080
	5/2	59 + 28(3F)2D + 5(3F)2F	(3F)z2D	88944	89072	−128	1.285
	7/2	91 + 4(3F)2F + 4(3F)4D		89418	89520	−102	1.414
(3F)z2G	7/2	96		91710	91483	227	0.890
	9/2	96		92053	91871	182	1.112
(3P)z2S	1/2	99		94714	94906	−192	1.992
(3P)z4S	3/2	74 + 25(1D)2P		97512	97509	5	1.826
(1D)z2P	1/2	97		98399	98300	99	0.674
	3/2	70 + 26(3P)4S		98062	98063	−1	1.490
(1D)y2F	5/2	88 + 7(3F)2F		98384	98240	144	0.872
	7/2	86 + 6(3F)2F + 5(3P)4D		98825	98598	227	1.157
(3P)y4D	1/2	95 + 4(3F)4D		99073	99044	29	0.004
	3/2	91 + 4(3F)4D + 4(1D)2D		99182	99170	12	1.184
	5/2	88 + 5(1D)2D		99440	99421	19	1.349
	7/2	91 +5(1D)2F		99941	99846	95	1.413
(1D)y2D	3/2	81 + 6(3P)2D + 6(3F)2D		99508	99765	−257	0.836
	5/2	80 + 7(3P)4D + 6(3F)2D		99805	100046	−241	1.217
(3P)z4P	1/2	99		101646	101618	28	2.662
	3/2	99		101786	101757	29	1.729
	5/2	98		102075	102040	35	1.590
(1G)y2G	7/2	96 + 4(3F)2G		102961	102970	−9	0.890
	9/2	96 + 4(3F)2G		103035	103032	3	1.110
(3P)x2D	3/2	80 + 10(1D)2D + 9(3F)2D		105320	105269	51	0.807
	5/2	82 + 10(3F)2D + 8(1D)2D		105283	105267	16	1.200
(1G)z2H	9/2	99		106441	106288	153	0.910
	11/2	100		106903	106682	221	1.091
(3P)y2P	1/2	99		107060	107049	11	0.667
	3/2	97		107166	107184	−18	1.327
(1G)x2F	5/2	97		110181	110364	−183	0.857
	7/2	97		109855	110075	−220	1.143
(1S)2P	1/2	98			129512		0.667
	3/2	98			130003		1.333

Table 14.

Observed and calculated levels of Cr iii 3d³4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(4F)z3G	2	100		93766	93780	−14	0.335
	3	100		94029	94045	−16	0.917
	4	100		94375	94394	−19	1.150
	5	100		94800	94823	−23	1.267
	6	100		95304	95330	−26	1.333
(4F)z5D	0	97			96592
	1	78 + 19(4F)5F	(a4F)z5F	96774	96686	88	1.207
	2	35 + 37(4F)5F + 26(4F)3D	(a4F)z5D	96386	96451	−65	1.224
	3	60 + 26(4F)5F + 12(4F)3D		96713	96750	−37	1.413
	4	83 + 15(4F)5F		97097	97124	−27	1.476
(4F)z3F	1	46 + 38(4F)3D + 13(4F)5D	(a4F)z5D	96148	96244	−96	0.404
	2	47 + 51(4F)5D	(a4F)z5F	96921	96857	64	1.263
	3	70 + 29(4F)5D		97120	97083	37	1.323
	4	84 + 14(4F)5D		97359	97357	2	1.369
	5	98		97618	97670	−52	1.395
(4F)z3D	1	53 + 35(4F)5F + 6(4F)5D		97077	97150	−73	0.389
	2	65 + 16(4F)5F + 11(4F)5D		97306	97431	−125	1.178
	3	79 + 9(4F)5D + 6(4P)3D		97683	97885	−202	1.344
(4F)z3G	3	93 + 5(2G)3G		99841	99697	144	0.753
	4	93 + 5(2G)3G		100100	99981	119	1.053
	5	92 + 5(2G)3G		100421	100344	77	1.204
(4F)z3F	2	96		101444	101476	−32	0.668
	3	95		101745	101801	−56	1.083
	4	96		102100	102187	−87	1.250
(4P)z3P	1	99		108248	108192	56	2.488
	2	98		108459	108404	55	1.826
	3	99		108793	108708	85	1.665
(4P)z3P	0	45 + 44(4P)5D + 5(A2D)3P	(a4P)y5P	109146	108985	161
	1	46 + 46(4P)5D + 6(A2D)3P			109807		1.505
	2	61 + 28(4P)5D + 6(A2D)3P		109434	109250	184	1.500
(2G)z3H	4	85 + 14(2H)3H		109534	109614	−80	0.804
	5	83 + 14(2H)3H		109944	110017	−73	1.036
	6	84 + 15(2H)3H		110505	110560	−55	1.166
(4P)y5D	0	52 + 36(4P)3P + 4(2P)1S			109686
	1	45 + 42(4P)3P		109237	109147	90	1.497
	2	69 + 25(4P)3P	(a4P)z3P	109570	109806	−236	1.502
	3	96		109721	109936	−215	1.499
	4	97		110154	110350	−196	1.500
(2G)y3G	3	86 + 5(4F)3G		111375	111399	−24	0.770
	4	89 + 5(4F)3G		111643	111663	−20	1.051
	5	87 + 5(4F)3G		111854	111877	−23	1.189
(2P)z1S	0	90 + 8(4P)3P			111843
(2G)y3F	2	70 + 22(A2D)3F		112398	112522	−124	0.688
	3	71 + 14(A2D)3F + 6(2G)1F		112466	112599	−133	1.061
	4	52 + 37(2G)1G + 8(A2D)3F		112371	112492	−121	1.151
(2G)1G	4	59 + 30(2G)3F + 5(A2D)3F			113199		1.086
(2G)1H	5	77 + 18(2H)1H			113346		1.005
(2P)3P	0	64 + 32(A2D)3P			113292
	1	59 + 33(A2D)3P			113380		1.489
	2	40 + 25(A2D)3P + 18(4P)5S			114207		1.521
(2G)z1F	3	74 + 15(A2D)1F + 7(2G)3F			113539		1.005
(2P)1D	2	32 + 17(2P)3P + 17(A2D)1D			113602		1.225
(4P)z5S	2	71 + 12(2P)1D + 10(A2D)1D		113356	113768	−412	1.728
(2P)y3D	1 2 3	80 + 12(4P)3D + 5(4F)3D 73 + 10(4P)3D + 5(2P)1D 70 + 12(4P)3D + 5(4F)3D	(a4P)y3D	114716 115182 115553	114441 114927 115315	275 255 238	0.515 1.145 1.312
(2H)y3H	4 5 6	82 + 14(2G)3H 85 + 14(2G)3H 84 + 15(2G)3H		115570 115669 115844	115362 115460 115643	208 209 201	0.809 1.034 1.165
(2P)3S	1	50 + 32(A2D)1P + 8(2P)1P			116127		1.534
(A2D)1P	1	36 + 42(2P)3S + 15(2P)1P			116202		1.385
(A2D)x3F	2 3 4	63 + 16(2G)3F + 13(4P)3D 51 + 20(2P)3D + 17(4P)3D 84 + 12(2G)3F		116392 116532 116967	116348 116724 117017	44 −192 −50	0.759 1.176 1.250
(4P)3D	1 2 3	59 + 16(2P)3D + 9(A2D)3D 57 + 19(2P)3D + 10(A2D)3F 55 + 23(A2D)3F + 7(A2D)3D			116665 116625 116490		0.583 1.105 1.259
(2H)z3I	5 6 7	98 99 100		117145 117488 117922	116957 117297 117727	188 191 195	0.837 1.025 1.143
(A2D)x3D	1 2 3	85 + 9(4P)3D 88 + 9(4P)3D 84 + 6(4P)3D		118055 118423 118598	118006 118322 118580	49 101 18	0.520 1.169 1.313
(2H)1G	4	81 + 15(2F)1G			119191		1.002
(2H)y1H	5	79 + 19(2G)1H		119040	119224	184	1.005
(A2D)3P	0 1 2	57 + 33(2P)3P + 10(4P)3P 53 + 31(2P)3P + 10(4P)3P 52 + 36(2P)3P + 11(4P)3P			119575 119457 119334		1.495 1.494
(A2D)1F	3	79 + 11(2G)1F + 5(A2D)3D			119682		1.017
(2H)1I	6	99			120120		1.001
(2H)x3G	3 4 5	90 + 5(2F)3G 89 + 5(2F)3G 90 + 4(2F)3G		120765 120748 120700	120795 120808 120755	−30 −60 −55	0.756 1.048 1.194
(4P)3S	1	63 + 22(2P)1P + 7(A2D)1P			121744		1.676
(2P)1P	1	50 + 32(4P)3S + 17(A2D)1P			122192		1.312
(A2D)1D	2	59 + 39(2P)1D			122689		1.003
(2F)w3F	2 3 4	95 94 94		128754 128782 128849	128943 128981 129055	−189 −199 −206	0.671 1.080 1.246
(2F)w3G	3 4 5	93 + 6(2H)3G 92 + 5(2H)3G 95 + 5(2H)3G		131118 131267 131449	131009 131160 131337	109 107 112	0.756 1.054 1.200
(2F)1D	2	79 + 19(B2D)1D			132294		0.998
(2F)3D	1 2 3	93 + 6(B2D)3D 92 + 6(B2D3D 91 + 7(B2D)3D			132846 132624 132261		0.500 1.164 1.329
(2F)1G	4	83 + 16(2H)1G			133967		1.001
(2F)1F	3	94			134899		1.002
(B2D)3D	1 2 3	95 + 4(2F)3D 94 + 4(2F)3D 94 + 4(2F)3D			146918 146939 147030		0.504 1.166 1.330
(B2D)1D	2	74 + 12(2F)1D + 12(B2D)3F			148648		0.955
(B2D)3F	2 3 4	84 + 12(B2D)1D 94 98			149279 149289 149495		0.714 1.084 1.250
(B2D)3P	0 1 2	99 99 99			151996 151828 151493		1.496 1.497
(B2D)1F	3	97			152028		1.002
(B2D)1P	1	100			156958		1.000

Table 15.

Observed and calculated levels of Mn iii 3d⁴4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(5D)z6F	1/2 3/2 5/2 7/2 9/2 11/2	100 100 100 100 100 100		110037 110174 110400 110713 111113 111603	109996 110136 110366 110684 111090 111583	41 38 34 29 23 20	−0.664 1.067 1.314 1.397 1.434 1.454
(5D)z6P	3/2 5/2 7/2	98 98 100		111778 111885 112060	111553 111700 111926	225 185 134	2.388 1.881 1.713
(5D)z4P	1/2 3/2 5/2	73 + 24(5D)6D 66 + 30(5D)6D 51 + 48(5D)6D		112816 113080 113678	112716 113150 113772	100 −70 −94	2.828 1.784 1.626
(5D)z6D	1/2 3/2 5/2 7/2 9/2	75 + 24(5D)4P 69 + 30(5D)4P 52 + 46(5D)4P 99 97		113993 114097 114290 114211 114503	114055 114169 114382 114337 114661	−62 −72 −92 −126 −158	3.169 1.825 1.632 1.583 1.548
(5D)z4F	3/2 5/2 7/2 9/2	96 96 95 94		116582 116694 116853 117064	116438 116567 116754 117007	144 127 99 57	0.403 1.032 1.243 1.340
(5D)z4D	1/2 3/2 5/2 7/2	98 98 98 98		120977 121094 121270 121484	121090 121223 121425 121669	−113 −129 −155 −185	0.002 1.200 1.371 1.428
(3H)z4H	7/2 9/2 11/2 13/2	80 + 18(3G)4H 79 + 17(3G)4H 79 + 16(3G)4H 82 + 14(3G)4H			130903 131077 131322 131645		0.672 0.967 1.128 1.226
(A3P)4D	1/2 3/2 5/2 7/2	83 + 14(A3F)4D 82 + 16(A3F)4D 78 + 20(A3F)4D 69 + 29(A3F)4D			130981 131401 132018 132746		0.025 1.202 1.370 1.424
(3H)4I	9/2 11/2 13/2 15/2	94 95 96 100			132880 133244 133604 133950		0.743 0.973 1.112 1.200
(A3F)4G	5/2 7/2 9/2 11/2	72 + 18(3G)4G + 9(3H)4G 59 + 15(3G)4G + 11(3H)4G 45 + 13(3G)4G + 12(3H)4G 55 + 22(3H)4G + 20(3G)4G			133037 133207 133423 133918		0.577 0.974 1.152 1.267
(A3P)2S	1/2	50 + 42(A3P)4P			133423		2.205
(3H)2G	7/2 9/2	49 + 28(A3F)2G + 7(3G)2G 39 + 27(A3F)2G + 18(A3F)4G			133868 134085		0.903 1.124
(A3P)4P	1/2 3/2 5/2	52 + 32(A3P)2S + 13(A3P)2P 91 90			134548 134369 135057		2.180 1.724 1.570
(A3F)4F	3/2 5/2 7/2 9/2	50 + 30(A3F)2D + 6(3D)2D 50 + 25(3H)4G + 6(3G)4G 84 + 8(3H)4G 86 + 4(3H)4G			135191 135572 135754 135853		0.620 0.889 1.215 1.322
(3H)4G	5/2 7/2 9/2 11/2	34 + 24(A3F)4F + 19(A3F)4G 52 + 28(A3F)4G + 12(3G)4G 54 + 31(A3F)4G + 10(3G)4G 51 + 40(A3F)4G + 8(3G)4G			135382 135466 135517 135570		0.763 1.004 1.175 1.268
(A3P)2P	1/2 3/2	71 + 17(A3P)2S + 7(A3F)4D 44 + 28(A3P)4S + 15(A3F)4F			136005 135666		0.870 1.352
(A3F)2D	3/2 5/2	33 + 26(A3F)4F + 25(A3P)4S 54 + 18(A3F)4F + 12(3D)2D			136101 136199		1.001 1.170
(3H)2I	11/2 13/2	92 + 4(1I)2I 93			136218 136350		0.932 1.082
(A3P)4S	3/2	39 + 30(A3P)2P + 16(A3F)4D			136593		1.508
(A3F)4D	1/2 3/2 5/2	78 + 15(A3P)4D 61 + 15(A3P)4D + 13(A3P)2P 62 + 18(A3P)4D			136897 136927 136823		0.051 1.217 1.301
	7/2	51 + 27(A3P)4D + 7(A3F)2F			136851		1.372
(3H)2H	9/2 11/2	71 + 14(A1G)2H + 6(3G)2H 72 + 11(A1G)2H + 9(3G)4H			137452 137936		0.915 1.096
(A3F)2F	5/2 7/2	35 + 28(3G)2F + 15(3D)2F 38 + 23(3G)2F + 14(3D)2F			137521 137828		0.918 1.175
(3G)4H	7/2 9/2 11/2 13/2	80 + 17(3H)4H 76 + 15(3H)4H + 5(3H)2H 73 + 13(3H)4H + 12(3H)2H 83 + 14(3H)4H			137669 137961 138285 138650		0.674 0.970 1.127 1.226
(A3P)2D	3/2 5/2	70 + 13(A3F)2D + 7(3G)4F 55 + 21(3G)4F + 9(A3F)2D			137890 138811		0.780 1.146
(3G)4F	3/2 5/2 7/2 9/2	68 + 14(3D)4F + 8(A3P)2D 50 + 25(A3P)2D + 11(3D)4F 69 + 14(3D)4F + 10(A3F)4F 71 + 13(3D)4F + 6(A3F)4F			138607 138435 138540 138501		0.462 1.074 1.227 1.312
(A3F)2G	7/2 9/2	53 + 24(3H)2G + 9(A1G)2G 44 + 24(3H)2G + 12(3G)2H			139649 139893		0.903 1.096
(3G)2F	5/2 7/2	42 + 41(A3F)2F + 7(3G)4G 48 + 40(A3F)2F			139903 140385		0.835 1.138
(3G)2H	9/2 11/2	48 + 18(3G)4G + 9(3H)2H 53 + 23(3G)4G + 10(3H)4G			140092 140069		0.999 1.149
(3G)4G	5/2 7/2 9/2 11/2	57 + 25(3H)4G + 8(A3F)2F 62 + 24(3H)4G 46 + 17(3G)2H + 17(3H)4G 47 + 27(3G)2H + 16(3H)4G			140169 140310 140611 140880		0.616 0.996 1.113 1.212
(3G)2G	7/2 9/2	74 + 15(3H)2G + 6(A1G)2G 67 + 17(3H)2G + 12(A1G)2G			143210 143338		0.897 1.111
(3D)4D	1/2 3/2 5/2 7/2	92 87 79 + 12(3D)4P 88			143618 143625 143659 143821		0.047 1.198 1.383 1.413
(1I)2I	11/2 13/2	90 + 7(A1G)2H 74 + 23(1I)2K			144109 144067		0.935 1.045
(A1G)2H	9/2 11/2	80 + 10(3H)2H 76 + 10(3H)2H			144414 144756		0.914 1.082
(1I)2K	13/2 15/2	77 + 23(1I)2I 100			144789 145221		0.966 1.067
(3D)4F	3/2 5/2 7/2 9/2	70 + 16(3G)4F + 8(3D)4P 72 + 16(3G)4F + 6(3D)4D 77 + 16(3G)4F + 6(3D)4D 83 + 16(3G)4F			144791 144912 145044 145161		0.552 1.050 1.248 1.332
(3D)4P	1/2 3/2 5/2	93 82 + 8(3D)4F 81 + 10(3D)4D			144897 144635 144220		2.630 1.584 1.557
(A1G)2F	5/2 7/2	81 + 5(3G)2F 82 + 4(3G)2F			144986 144427		0.864 1.138
(3D)2P	1/2 3/2	45 + 47(A1S)2P 56 + 38(A1S)2P			145317 145564		0.658 1.333
(A1G)2G	7/2 9/2	80 + 10(3G)2G 78 + 15(3G)2G			146744 146939		0.895 1.111
(1I)2H	9/2 11/2	87 + 9(3G)2H 85 + 9(3G)2H + 6(A1G)2H			148625 148261		0.910 1.089
(3D)2F	5/2 7/2	73 + 11(3G)2F + 5(1F)2F 73 + 9(3G)2F			148837 148611		0.858 1.142
(A1S)2P	1/2 3/2	41 + 42(3D)2P + 12(A1D)2P 43 + 24(3D)2P + 13(A1D)2P			148942 148779		0.666 1.264
(3D)2D	3/2 5/2	64 + 15(A1D)2D + 9(B3F)2D 58 + 30(A1D)2D			149769 149334		0.859 1.200
(A1D)2D	3/2 5/2	67 + 15(3D)2D 58 + 23(3D)2D			151050 151384		0.815 1.187
(A1D)2F	5/2 7/2	81 + 5(1F)2F 83 + 10(1F)2F			152281 152678		0.872 1.143
(A1D)2P	1/2 3/2	86 + 6(3D)2P 81 + 8(3D)2P			155354 155436		0.668 1.331
(1F)2F	5/2 7/2	81 + 7(A1D)2F + 6(A1G)2F 78 + 10(A1D)2F + 6(A1G)2F			156247 156404		0.860 1.139
(1F)2G	7/2 9/2	94 95			158193 158795		0.894 1.112
(1F)2D	3/2 5/2	70 + 16(B3P)2D + 10(B3F)2D 66 + 18(B3P)2D + 11(B3F)2D			160897 160156		0.797 1.199
(B3F)4F	3/2 5/2 7/2 9/2	96 92 92 98			163001 163010 163054 163169		0.422 1.048 1.247 1.331
(B3P)4P	1/2 3/2 5/2	82 + 11(B3P)4D 69 + 18(B3P)4D 49 + 30(B3P)4D + 10(B3F)4D			163878 163655 163647		2.268 1.592 1.469
(B3P)4D	1/2 3/2 5/2 7/2	58 + 26(B3F)4D + 14(B3P)4P 47 + 22(B3F)4D + 22(B3P)4P 34 + 45(B1P)4P + 15(B3F)4D 63 + 28(B3F)4D			164305 164266 164249 163950		0.394 1.311 1.461 1.412
(B3F)4G	5/2 7/2 9/2 11/2	79 + 16(B3F)2F 80 + 15(B3F)2F 97 99			165162 165369 165617 165794		0.636 1.015 1.172 1.272
(B3F)2F	5/2 7/2	73 + 16(B3F)4G 73 + 17(B3F)4G			166018 165864		0.823 1.118
(B3P)2D	3/2 5/2	47 + 23(1F)2D + 22(B3F)2D 45 + 24(1F)2D + 16(B3F)2D			165686 165463		0.819 1.191
(B3P)4S	3/2	97			168114		1.991
(B3F)2G	7/2 9/2	97 97			169691 169375		0.890 1.111
(B3F)4D	1/2 3/2 5/2 7/2	70 + 29(B3P)4D 69 + 30(B3P)4D 69 + 30(B3P)4D 68 + 31(B3P)4D			170024 169959 169810 169537		0.007 1.201 1.370 1.426
(B3P)2P	1/2 3/2	90 93			170434 170053		0.688 1.333
(B3P)2S	1/2	98			172395		1.975
(B1G)2H	9/2 11/2	68 + 29(B1G)2G 98			173087 173889		0.970 1.091
(B1G)2G	7/2 9/2	95 68 + 29(B1G)2H			173425 173870		0.896 1.051
(B3F)2D	3/2 5/2	66 + 33(B3P)2D 41 + 36(B1G)2F + 17(B3P)2D			175759 175377		0.801 1.058
(B1G)2F	5/2 7/2	50 + 30(B3F)2D + 11(B3P)2D 83 + 6(B3F)2F			175850 175345		0.999 1.137
(B1D)2P	1/2 3/2	94 94			190177 189762		0.667 1.331
(B1D)2F	5/2 7/2	93 94			192652 193245		0.860 1.143
(B1D)2D	3/2 5/2	98 99			196243 196498		0.802 1.197
(B1S)2P	1/2 3/2	95 96			216022 216787		0.667 1.333

Table 16.

Observed and calculated levels of Fe iii 3d⁵4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(6S)z7P	2	100		82002	81854	148	2.331
	3	99		82334	82159	175	1.915
	4	100		82847	82626	221	1.750
(6S)z5P	1	98		89491	89343	148	2.499
	2	98		89335	89177	158	1.835
	3	98		89085	88916	169	1.668
(4G)z5G	2	96		113584	113807	−223	0.341
	3	91 + 5(4G)5G		113605	113832	−227	0.897
	1	89 + 8(4G)5H		113635	113873	−238	1.130
	5	88 + 9(4G)5H		113677	113932	−255	1.251
	6	90 + 7(4G)SH		113740	114020	−280	1.323
(4G)z5H	3	94 + 5(4G)5G		114949	114731	218	0.525
	4	90 + 8(4G)5G		115111	114913	198	0.923
	5	90 + 9(4G)5G		115290	115106	184	1.116
	6	92 + 7(4G)5G		115474	115295	179	1.223
	7	100		115642	115455	187	1.286
(4G)z5F	1	76 + 12(4P)5D + 6(4D)5F		116938	116890	48	0.222
	2	57 + 28(4P)5D + 6(4D)SD		116975	116960	15	1.197
	3	55 + 22(4P)5D + 9(4D)5F	(a4P)z5D	116475	116467	8	1.326
	4	81 + 7(4D)5F	(a4G)z5F	116467	116451	16	1.355
	5	90 + 5(4D)5F		116317	116328	11	1.397
(4P)z5D	0	80 + 16(4D)5D		116365	116485	−120
	1	67 + 16(4D)5D + 11(4G)5F		116380	116466	−86	1.279
	2	46 + 29(4G)5F + 11(4D)5D		116419	116458	−39	1.310
	3	49 + 32(4G)5F + 10(4D)5D	(a4G)z5F	117069	117110	41	1.425
	4	75 + 14(4D)5D + 8(4G)5F	(a4P)z5D	117522	117597	−75	1.484
(4P)z5S	2	92		116898	117246	−348	1.961
(4G)z5F	2	90		118164	118310	− 146	0.671
	3	75 + 10(4P)5P		118247	118433	−186	1.174
	4	89		118350	118543	−193	1.242
(4G)z3H	4	95		118686	118562	124	0.810
	5	97		118557	118469	88	1.035
	6	96		118355	118310	45	1.168
(4P)y5P	1	78 + 14(4D)5P		118868	118825	43	2.433
	2	69 + 19(4D)5P		118722	118678	44	1.801
	3	53 + 22(4D)5P + 14(4G)3F		118443	118385	58	1.559
(4P)z3P	0	76 + 17(4D)3P		120180	120299	−119
	1	71 + 18(4D)3P		119982	120089	−107	1.534
	2	66 + 18(4D)3P + 5(4P)5P		119698	119801	−103	1.528
(4D)y5F	1	85 + 11(4G)5F		120697	120731	−34	0.025
	2	84 + 10(4G)5F		120826	120867	−41	1.012
	3	84 + 8(4G)5F		121009	121055	−46	1.258
	4	87 + 7(4G)5F		121242	121285	−43	1.353
	5	92 + 6(4G)5F		121469	121480	−11	1.399
(4G)z3G	3	94		121920	121931	−11	0.751
	4	95		121941	121986	−45	1.051
	5	95		121950	122030	−80	1.201
(4D)y5D	0	75 + 19(4P)5D		123456	123106	350
	1	35 + 46(4P)3D + 8(4P)5D	(a4P)z3D	122843	122812	31	1.044
	2	36 + 46(4P)3D + 7(4P)5D		122628	122571	57	1.330
	3	36 + 31(4P)3D + 14(4D)5P	(a4D)y5D	122830	122761	69	1.459
	4	78 + 16(4P)5D		122944	122552	392	1.495
(4P)z3D	1	41 + 22(4D)5P + 21(4D)5D	(a4D)y5D	122921	123066	−145	1.303
	2	40 + 25(4D)5D + 18(4D)5P		122899	122953	−54	1.410
	3	53 + 29(4D)5D + 5(4P)5D	(a4P)z3D	122347	122310	37	1.389
(4D)x5P	1	56 + 20(4D)5D + 12(4P)5P		123553	123473	80	2.141
	2	55 + 18(4P)5P+ 16(4D)5D		123697	123749	−52	1.728
	3	45 + 23(4P)5P + 13(4D)5D		123750	123857	−107	1.583
(4D)y3D	1	84 + 8(4F)3D		124955	124817	138	0.515
	2	84 + 7(4F)3D		124904	124747	157	1.183
	3	71 + 12(4D)SP		124854	124704	150	1.380
(4D)y3F	2	88 + 6(A2G)3F		125673	125735	−62	0.687
	3	86 + 6(A2G)3F		125638	125714	−76	1.100
	4	90 + 6(A2G)3F		125444	125510	−66	1.254
(4P)z3S	1	95		126391	126437	−46	1.981
(4D)y3P	0	77 + 18(4P)3P		128372	128649	−277
	1	74 + 19(4P)3P		128606	128904	−298	1.513
	2	72 + 2l(4P)3P		128918	129237	−319	1.499
(2I)z3K	6	83 + 15(2I)3I	(a2I)z3I	129855	129757	98	0.886
	7	76 + 17(2I)3I + 6(2I)1K		130041	130111	−70	1.038
	8	100		130852	130705	147	1.125
(2I)z3I	5	82 + 9(2I)1H		130256	130362	−106	0.859
	6	78 + 16(2I)3K	(a2I)z3K	130757	130793	−36	1.003
	7	71 + 21(2I)3K		131035	130791	244	1.110
(A2D)z1D	2	32 + 26(A2F)3F + 24(A2D)3F		131445	131665	−220	0.858
(2I)z1H	5	69 + 13(2I)3I + 9(A2G)1H		131711	131986	−275	0.982
(2I)z1K	7	89 + 9(2I)3I		131992	131987	5	1.013
(A2D)x3F	2	42 + 26(A2D)’D + 17(A2F)1D		132105	132331	−226	0.832
	3	58 + 25(A2F)3F		132080	132183	−103	1.058
	4	58 + 22(A2F)3F + 10(A2F)3G		132785	132847	−62	1.198
(2I)y3H	4	84		132659	132797	−138	0.832
	5	86 + 6(2I)1H		132565	132743	−178	1.031
	6	90		132263	132442	−179	1.160
(A2F)z1G	4	57 + 17(A2F)3G + 10(2F)1G		134360	134247	113	1.014
(A2F)y3G	3	53 + 25(A2D)1F + 13(A2F)3F		134549	134476	73	0.881
	4	54 + 36(A2F)3F + 5(4F)5G		135554	135461	93	1.127
	5	55 + 35(4F)5G	(a4F)y5G	135316	135120	196	1.225
(A2D)x3P	0	90 + 6(4F)5D)		135088	134978	110
	1	59 + 20(A2D)3D + 11(A2F)3D		134549	134467	82	1.139
	2	67 + 25(A2F)3D		134265	134149	116	1.385
(A2D)x3D	1	60 + 22(A2D)3P + 8(4F)5F		135217	135197	20	0.708
	2	62 + 12(4F)5G + 9(4F)5F		135279	135283	−4	1.040
	3	32 + 25(A2F)3D + 24(4F)5G		134976	135047	−71	1.182
(4F)y5G	2	75 + 10(A2F)3F + 7(A2D)3D		134938	134888	50	0.477
	3	54 + 27(A2D)3D		135097	134996	101	1.065
	4	81 + 8(A2F)1G		135240	135158	82	1.134
	5	58 + 39(A2F)3G	(a2F)y3G	135735	135548	187	1.239
	6	50 + 44(2I)1I	(a2I)z1I	135582	135552	30	1.176
(2I)z1I	6	50 + 46(4F)5G	(a4F)y5G	135739	135635	104	1.159
(A2d)w3D	1	66 + 19(A2D)1P		136465	136194	271	0.687
	2	36 + 37(4F)5F + 10(A2D)3D		136794	136487	307	1.097
	3	65 + 11(A2D)3D		135706	135411	295	1.264
(A2D)z1F	3	31 + 24(A2F)3G + 10(4F)5F		136200	136174	26	0.994
(4F)x5F	1	76 + 10(A2D)3D		136236	136305	−69	0.155
	2	38 + 36(A2F)3D + 13(4F)3D		136118	136172	−54	1.103
	3	65 + 13(4F)5D + 6(A2F)3G		136009	136150	−141	1.229
	4	74 + 17(4F)5D		135991	136121	−130	1.368
	5	88		136185	136310	−125	1.386
(A2F)w3F	2	46 + 19(A2D)3F + 10(A2F)3D		136532	136675	−143	0.790
	3	41 + 14(A2D)3F + 14(A2D)1F		136797	136846	−49	1.105
	4	42 + 28(A2D)3F + 15(A2F)3G		136613	136555	58	1.194
(2H)x3H	4	46 + 44(A2G)3H	(a2G)x3H	137528	137500	28	0.821
	5	43 + 42(A2G)3H + 6(2H)3I		137764	137731	33	1.035
	6	46 + 41(A2G)3H + 6(2H)3I		138264	138248	16	1.154
(4F)x5D	0	91 + 6(A2D)3P		137573	137608	−35
	1	85 + 6(A2D)3P		137561	137605	−44	1.404
	2	77 + 9(4F)5F		137545	137610	−65	1.425
	3	74 + 14(4F)5F		137423	137509	−86	1.443
	4	75 + 16(4F)5F		137210	137297	−87	1.464
(2H)x3G	3	41 + 28(4F)3G + 16(A2F)3G		138188	138313	−125	0.768
	4	43 + 30(4F)3G + 13(A2F)3G		138103	138228	−125	1.051
	5	47 + 29(4F)3G + 10(A2F)3G		138055	138214	−159	1.141
(A2D)z1P	1	71 + 17(A2F)3D		138692	138498	194	0.905
(4F)w3G	3	42 + 41(A2G)3G + 7(2H)3G		139680	139539	141	0.767
	4	42 + 36(A2G)3G + 10(2H)3G		139625	139477	148	1.044
	5	43 + 25(A2G)3G + 16(2H)3I		139461	139350	113	1.141
(2H)y3I	5	79 + 8(2H)3H + 7(4F)3G		139509	139410	99	0.904
	6	87 + 5(2H)3H		139846	139762	84	1.033
	7	96		140196	140165	31	1.142
(A2G)y1G	4	40 + 19(A2F)1G + 17(2H)1G		139827	139749	78	1.037
(A2F)y1D	2	56 + 38(A2D)1D		139764	139779	−15	0.991
(A2F)y1F	3	72 + 8(A2D)1F + 6(A2G)1F		140453	140468	−15	1.001
(A2G)v3F	2	42 + 31(4F)3F + 13(4F)3D		140751	140998	−247	0.749
	3	42 + 26(4F)3F + 15(4F)3D		140693	140901	−208	1.120
	4	45 + 26(4F)3F + 9(A2G)1G		141003	141195	−192	1.205
(2H)y1I	6	88 + 5(2H)3H		141540	141442	98	1.013
(4F)v3D	1	84 + 6(4D)3D		141469	141576	−107	0.512
	2	68 + 8(A2G)3F + 6(4D)3D		141399	141571	−172	1.081
	3	64 + 7(A2G)3F + 7(4D)3D		141467	141663	−196	1.278
(4F)u3F	2	48 + 24(A2G)3F + 22(A2F)3F		142535	142682	−147	0.679
	3	50 + 24(A2G)3F + 20(A2F)3F		142313	142460	−147	1.080
	4	50 + 25(A2G)3F + 21(A2F)3F		142047	142197	−150	1.246
(A2G)w3H	4	45 + 47(2H)3H	(a2H)w3H	142856	142754	102	0.819
	5	46 + 38(2H)3H + 9(A2G)3G		142908	142783	125	1.052
	6	50 + 40(2H)3H + 7(2H)1I		143321	143253	68	1.155
(A2G)v3G	3	43 + 24(A2F)3G + 18(4F)3G		144117	143854	263	0.766
	4	42 + 23(A2F)3G + 14(4F)3G		144086	143844	242	1.048
	5	40 + 20(A2F)3G + 12(2H)3G		143884	143657	227	1.172
(B2F)x1G	4	35 + 30(A2F)3F + 14(A2G)1G	(b2F)t3F	144332	144445	−113	1.090
(A2G)y1H	5	66 + 18(2H)1H + 12(2I)1H		144587	144462	125	1.005
(B2F)t3F	2	66 + 19(A2G)3F + 7(4F)3F		144502	144598	−96	0.694
	3	73 + 11 (A2G)3F + 6(4F)3F		144571	144697	−126	1.076
	4	48 + 20(B2F)1G + 8(2H)1G	(a2H)x1G	144968	145120	−152	1.156
(2H)x1H	5	70 + 23(A2G)1H		144843	144729	114	1.007
(A2G)x1F	3	76 + 5(B2F)1F + 5(B2D)1F		145039	145227	−188	1.006
(B2F)x1D	2	82 + 7(B2F)3F + 7(B2D)1D		145618	145658	−40	0.979
(B2F)u3G	3 4 5	55 + 36(2H)3G + 6(A2G)3G 59 + 32(2H)3G + 6(A2G)3G 66 + 28(2H)3G + 5(A2G)3G		146891 147161 147406	146938 147217 147490	−47 −56 −84	0.759 1.052 1.200
(B2F)u3D	1 2 3	90 89 86 + 7(4F)3D		147556 147615 147636	147602 147700 147761	−46 −85 −125	0.533 1.171 1.326
(2S)w3P	0 1 2	85 + 12(B2D)1P 82 + 13(B2D)3P 82 + 14(B2D)1P		148655 148915 149526	148596 148854 149441	59 61 85	1.466 1.492
(2H)w1G	4	34 + 44(B2F)1G+ 21(A2G)1G	(b2F)w1G	149013	149063	−50	1.001
(B2F)w1F	3	93		150655	150566	89	1.005
(2S)y1P	1	78 + 19(B2D)1P		151637	151652	−15	1.004
(B2D)s3F	2 3 4	75 + 18(B2D)3D 61 + 27(B2D)3D + 6(B2D)1F 94		157684 157982 158563	157737 157940 158559	−53 42 4	0.765 1.149 1.249
(B2D)t3D	1 2 3	95 76 + 18(B2D)3F 67 + 29(B2D)3F		158257 158417 158729	157919 158123 158447	338 294 282	0.520 1.080 1.256
(B2F)v1G	3	82 + 12(B2G)1F		159493	159453	40	1.010
(B2D)v3P	0 1 2	87 + 13(2S)3P 82 + 13(2S)3P 81 + 14(2S)3P		160038	160319 160307 160291	−253	1.468 1.483
(B2D)1P	1	80 + 15(2S)1P			161258		1.010
(B2D)w1D	2	92 + 6(B2F)1D		16285?	161749	336	1.003
(B2G)v3H	4 5 6	93 + 5(B2G)3G 90 + 6(B2G)3G 98		165719 165940 166187?	165640 165834 166287	79 106 −100	0.814 1.043 1.167
(B2G)r3F	2 3 4	93 + 5(C2D)3F 50 + 46(B2G)2G 81 + 11(B2G)3F		167002 166498 166222	167059 166531 166268	−57 −33 −46	0.667 0.928 1.220
(B2G)t3G	3 4 5	53 + 44(B2G)3F 85 + 11(B2G)3F 91 + 7(B2G)3H		167085 167207 167299	167065 167154 167242	20 53 57	0.907 1.064 1.185
(B2G)w1H	5	95		168780	168674	106	1.006
(B2G)v1G	4	96		169278?	169202	76	1.003
(B2G)u1F	3	87 + 12(C2D)1F		170311?	170439	−128	0.998
(2P)3P	0 1 2	77 + 22(C2D)3P 76 + 23(C2D)3P 76 + 24(C2D)3P			178674 178823 179241		1.502 1.497
(2P)1S	0	99			181398
(2P)3D	1 2 3	93 66 + 22(2P)1D + 5(C2D)1D 92 + 7(C2D)3D			182519 182490 183099		0.504 1.121 1.333
(2P)1D	2	57 + 26(2P)3D + 14(C2D)1D			183519		1.047
(2P)3S	1	98			184869		1.979
(2P)1P	1	78 + 19(C2D)1P			185970		1.013
(C2D)3F	2 3 4	91 + 5(B2G)3F 89 + 5(C2D)3D 96			191071 191235 191700		0.690 1.096 1.250
(C2D)3F	1 2 3	94 89 + 6(2P)3D 89 + 7(2P)3D			192255 192579 192934		0.505 1.147 1.318
(C2D)1D	2	69 + 16(2P)1D + 11(C2D)3P			193395		1.067
(C2D)1F	3	94			194617		1.003
(C2D)3P	0 1 2	77 + 22(2P)3P 77 + 23(2P)3P 66 + 20(2P)3P + 12(C2D)1D			194973 194703 194332		1.498 1.430
(C2D)1P	1	81 + 18(2P)1P			198959		0.999

Table 17.

Observed and calculated levels of Co iii 3d⁶4p

Name	J	Percentage	AEL	Observed	Calculated	O-C	Lande C.
(5D)z6D	1/2	99		99182	99357	‒175	3.324
	3/2	99		99044	99207	‒163	1.863
	5/2	98		98823	98971	‒148	1.654
	7/2	97		98546	98671	‒125	1.585
	9/2	99		98290	98386	‒96	1.553
(5D)z6F	1/2	98		103691	103488	203	‒0.650
	3/2	98		103656	103446	210	1.069
	5/2	97		103594	103372	222	1.315
	7/2	96		103502	103264	238	1.397
	9/2	96		103387	103124	263	1.433
	11/2	100		103245	102950	295	1.454
(5D)z6P	3/2	98		106592	106534	58	2.380
	5/2	94		105965	105912	53	1.860
	7/2	91 + 7(5D)4D		105009	104964	45	1.691
(5D)z4D	1/2	95		107508	107468	40	‒0.006
	3/2	94		107297	107250	47	1.213
	5/2	91 + 5(5D)6P		106955	106897	58	1.392
	7/2	89 + 7(5D)6P		106489	106415	74	1.447
(5D)z4F	3/2	98		108403	108435	‒32	0.407
	5/2	97		108053	108073	‒20	1.035
	7/2	96		107530	107536	‒6	1.244
	9/2	96		106765	106760	5	1.336
(5D)z4P	1/2	98		111283	111318	‒35	2.665
	3/2	98		110962	110993	‒31	1.733
	5/2	98		110371	110401	‒30	1.599
(A3P)z4S	3/2	61 + 36(A3P)4P			124189		1.881
(3H)z4G	5/2	44 + 44(A3F)4G + 6(3G)4G		125369	125406	‒37	0.608
	7/2	46 + 40(A3F)4G + 7(3G)4G		125227	125264	‒37	0.987
	9/2	47 + 33(A3F)4G + 7(3C)4G		125012	125053	‒41	1.151
	11/2	64 + 27(A3F)4G + 7(3G)4G		124766	124861	‒95	1.269
(3H)z4I	9/2	57 + 26(3H)4H + 7(3H)4G	(3H)z4H	125422	125418	4	0.852
	11/2	59 + 30(3H)4H + 7(3G)4H		125296	125286	10	1.030
	13/2	58 + 31(3H)4H + 6(3H)2I		125276	125308	‒32	1.150
	15/2	100		126119	125945	174	1.199
(3H)z4H	7/2	60 + 14(3H)2G + 8(3G)4H		125690	125839	‒149	0.761
	9/2	41 + 35(3H)4I + 10(3H)2G	(3H)z4I	126239	126246	‒7	0.921
	11/2	55 + 36(3H)4I + 6(3G)4H		126501	126505	‒4	1.073
	13/2	59 + 34(3H)4I + 5(3G)4H		126475	126507	‒32	1.185
(A3P)y4P	1/2	90 + 6(A3P)4D			126373		2.465
	3/2	30 + 29(A3P)4S + 28(A3P)4D)			126631		1.562
	5/2	60 + 25(A3P)4D + 9(A3P)2D			125343		1.472
(A3F)y4F	3/2	86 + 7(3D)4F		126987	127217	‒230	0.425
	5/2	78 + 6(3D)4F		126871	127096	‒225	1.034
	7/2	48 + 16(A3P)4D + 9(3H)4H		126892	127048	−156	1.192
	9/2	82		126998	127160	−162	1.305
(3H)z2G	7/2	43 + 18(A3F)4F + 11(3G)2G		127318	127499	−181	0.953
	9/2	59 + 15(3G)2G + 12(3H)4H		127051	127272	−221	1.086
(A3P)z2D	3/2	32 + 23(A3P)4P + 23(A3P)4D			127793		1.251
	5/2	58 + 25(A3P)4P + 8(A3F)2D			126336		1.309
(A3P)y4D	1/2	90 + 6(A3P)4P		128536	128152	384	0.168
	3/2	42 + 31(A3P)2D + 12(A3F)2D		128423	128681	−258	1.034
	5/2	60 + 15(A3P)2D + 10(A3P)4P		128085	128242	−157	1.345
	7/2	80 + 7(A3F)4F		126549	126588	−39	1.388
(3H)z2I	11/2	92		128259	128200	59	0.935
	13/2	90 + 7(3H)4I		127673	127650	23	1.082
(A3F)x4D	1/2	84 + 11(3D)4D		128937	129158	−221	0.015
	3/2	80 + 10(3D)4D		128805	129036	−231	1.179
	5/2	73 + 9(3D)4D		128525	128755	−230	1.343
	7/2	69 + 8(3D)4D		128018	128257	−239	1.353
(A3F)y4G	5/2	35 + 27(3H)4G + 24(A3F)2F		129747	129740	7	0.672
	7/2	44 + 26(3H)4G + 12(A3F)2F		129707	129680	27	1.009
	9/2	52 + 25(3H)4G + 9(A3F)2G		129592	129534	58	1.162
	11/2	68 + 22(3H)4G		129556	129505	51	1.261
(A3F)z2F	5/2	41 + 19(3H)4G + 9(3G)2F		130407	130400	7	0.752
	7/2	49 + 12(3G)2F + 8(3H)4G		130184	130233	−49	1.095
(A3P)2P	1/2	55 + 34(A3P)2S			130940		1.149
	3/2	87 + 6(A1D)2P			131328		1.322
(A3F)y2G	7/2	62 + 17(3G)4G		131279	131283	−4	0.941
	9/2	60 + 13(3G)2H + 9(A3F)4G		130802	130782	20	1.073
(3H)z2H	9/2	37 + 23(3G)2H + 21 (A3F)2G		131538	131606	−68	0.978
	11/2	23 + 34(3G)2H + 22(3G)4G		131054	131109	−55	1.137
(3G)x4G	5/2	63 + 17(3G)4F + 8(A3F)2F		131884	131773	111	0.709
	7/2	38 + 24(3G)4F + 20(A3F)2G		131582	131491	91	1.040
	9/2	49 + 24(3G)4F + 8(3G)4G	(3G)x4F	131887	131857	30	1.194
	11/2	59 + 19(3H)2H + 10(3H)4G		131098	131311	−213	1.218
(A3P)2S	1/2	65 + 29(A3P)2P			132300		1.540
(3G)y4H	7/2 9/2 11/2 13/2	74 + 11(3H)4H + 6(A3F)2G 76 + 9(3H)4H 74 + 10(3H)2H + 7(3H)4H 88 + 10(3H)4H		132624 132587 132507 132377	132433 132392 132322 132144	191 195 185 233	0.715 0.987 1.135 1.228
(3G)x4F	3/2 5/2 7/2 9/2	71 + 14(3D)4F 56 + 18(3G)4G+ 11(3D)4F 44 + 28(3G)4G + 9(3D)4F 52 + 32(3G)4G + 5(3D)4F	(3G)x4G	132592 132489 132277 131098	132454 132392 132219 131011	138 97 58 87	0.437 0.934 1.108 1.268
(A3F)2D	3/2 5/2	72 + 19(A3P)2D 78 + 13(A3P)2D			134195 133837		0.776 1.183
(3G)y2H	9/2 11/2	50 + 39(3H)2H 47 + 45(3H)2H		135404 134696	135521 134850	−117 − 154	0.922 1.094
(3G)y2F	5/2 7/2	54 + 18(3D)2F + 10(A3F)2F 57+ 14(A3W + 13(3D)2F		136129 136290	136217 136361	−88 −71	0.869 1.128
(3G)x2G	7/2 9/2	72 + 14(3H)2G 74 + 18(3H)2G		137812 137661	137684 137565	128 96	0.912 1.103
(1I)2K	13/2 15/2	98 100			137375 138185		0.936 1.067
(A1G)x2H	9/2 11/2	69 + 17(1I)2H 49 + 44(1I)2H	(1I)x2H	138921 139138	138722 139035	199 103	0.927 1.090
(3D)4P	1/2 3/2 5/2	82 + 8(3D)4D 82 + 5(3D)4D 90			139158 138832 138618		2.333 1.668 1.584
(3D)4F	3/2 5/2 7/2 9/2	72 + 19(3G)4F 68 + 16(3G)4F + 6(3D)4D 46 + 14(3D)4D + 10(3G)4F 54 + 30(A1G)2G			139436 139585 139727 140141		0.443 1.050 1.231 1.246
(3D)4D	1/2 3/2 5/2 7/2	53 + 20(3D)2P + 12(3D)4P 55+ 18(3D)2P+ 10(3D)4P 77 + 9(A3F)4D + 8(3D)4F 27 + 22(3D)4F + 17(A1G)2F			139616 139831 140109 140090		0.510 1.252 1.337 1.202
(A1G)w2G	7/2 9/2	61 + 13(3D)4F 54 + 29(3D)4F		140383 140358	140214 140308	169 50	0.966 1.177
(3D)2P	1/2 3/2	54 + 25(3D)4D + 12(A1S)2P 60 + 23(3D)4D + 10(A1S)2P			140568 140444		0.479 1.296
(A1G)x2F	5/2 7/2	48 + 21(3D)2F + 10(A3F)2F 30 + 44(3D)4D + 7(A3F)4D		140787 140646	140734 140582	53 64	0.875 1.285
(1I)w2H	9/2 11/2	68 + 21(A1G)2H 33 + 50(A1G)2H	(1G)w2H	141347 141191	141443 141140	−96 51	0.912 1.072
(1I)y2I	11/2 13/2	87 + 9(1I)2H 99		141874 141869	141926 141925	−52 −56	0.945 1.076
(3D)2D	3/2 5/2	88 90			142452 142664		0.820 1.200
(3D)2F	5/2 7/2	56 + 23(A1G)2F + 13(A1D)2F 61 + 17(A1G)2F + 14(A1D)2F			143970 143377		0.865 1.145
(A1S)2P (A1D)2F	1/2 3/2 5/2 7/2	51 + 28(A1D)2P + 12(3D)2P 43 + 43(A1D)2P + 10(3D)2P 53 + 18(A1D)2D + 15(A1G)2F 72 + 15(A1G)2F			144469 143865 146196 147106		0.673 1.319 0.935 1.144
(A1D)2D	3/2 5/2	78 + 11(1F)2D 62 + 17(A1D)2F + 14(1F)2D			146760 147093		0.838 1.125
(A1D)2P	1/2 3/2	65 + 27(A1S)2P 43 + 38(A1S)2P			147373 147994		0.671 1.299
(1F)2G	7/2 9/2	92 95			151919 152806		0.892 1.112
(1F)2D	3/2 5/2	79 + 11(A1D)2D 71 + 15(A1D)2D			154134 153438		0.813 1.198
(B3P)4D	1/2 3/2 5/2 7/2	54 + 44(B3F)4D 50 + 45(B3F)4D 38 + 45(B3F)4D + 14(1F)2F 29 + 35(B3F)4D + 35(1F)2F	(3P1)z4S (3P1)x4P	155702 156291	155753 155984 156171 156215	−282 120	0.004 1.188 1.290 1.313
(1F)2F	5/2 7/2	75 + 7(B3F)4D + 7(B3P)4D 54 + 23(B3F)4D + 17(B3P)4D			156526 156628		0.941 1.256
(B3P)2S	1/2	93			159796		2.024
(B3F)4G	5/2 7/2 9/2 11/2	97 96 95 98			160338 160581 160820 161090		0.575 0.984 1.171 1.272
(B3P)4S	3/2	98			161611		1.989
(B3F)2D	3/2 5/2	51 + 37(B3P)2D 49 + 35(B3P)2D + 8(B3P)4P			163340 163896		0.844 1.229
(B3P)4P	1/2 3/2 5/2	91 88 71 + 8(B3F)2D + 8(B3P)4D			163229 163563 164334		2.611 1.667 1.510
(B3F)2G	7/2 9/2	89 88			164268 163773		0.907 1.125
(B3F)4D	1/2 3/2 5/2 7/2	54 + 42(B3P)4D 40 + 37(B3P)4D + 15(B3F)4F 39 + 42(B3F)4F + 14(B3P)4P 32 + 38(B3P)4D + 29(B3F)4F			164541 164765 165040 165903		0.042 1.091 1.251 1.360
(B3F)4F	3/2 5/2 7/2 9/2	78 + 9(B3F)4D 51 + 23(B3P)4D + 22(B3F)4D 62 + 22(B3P)4D + 11(B3F)4D 93 + 6(B3F)2C			165215 165546 165234 165624		0.557 1.194 1.286 1.318
(B3P)2D	3/2 5/2	41 + 36(B3F)2D + 16(B3P)2P 60 + 34(B3F)2D			166507 167276		0.877 1.210
(B3P)2P	1/2 3/2	92 77 + 12(B3P)2D			167203 167968		0.652 1.240
(B3F)2F	5/2 7/2	94 87 + 12(B1G)2F			168299 168167		0.858 1.142
(B1G)2H	9/2 11/2	95 98			170204 171002		0.915 1.091
(B1G)2F	5/2 7/2	86 + 6(1F)2F 57 + 27(B1G)2G + 6(B3F)2F			172252 171679		0.858 1.072
(B1G)2G	7/2 9/2	68 + 21(B1G)2F 94			173022 172850		0.962 1.108
(B1D)2D	3/2 5/2	98 98			190563 190826		0.805 1.195
(B1D)2F	5/2 7/2	95 96			194508 195232		0.862 1.143
(B1D)2P	1/2 3/2	93 + 6(B1S)2P 93 + 5(B1S)2P			196236 195859		0.667 1.328
(B1S)2P	1/2 3/2	94 + 6(B1D)2P 95 + 5(B1D)2P			219596 220550		0.667 1.333

Table 18.

Observed and calculated levels of Ni iii 3d⁷4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(4F)z5F	1	96		112402	112376	26	0.054
	2	88 + 9(4F)5D		111914	111907	7	1.031
	3	78 + 17(4F)5D		111221	111241	−20	1.281
	4	65 + 29(4F)5D		110371	110431	−60	1.387
	5	94 + 5(4F)3G		110212	110157	55	1.391
(4F)z5G	2	88 + 5(4F)5D + 5(4F)5F		114371	114162	209	0.436
	3	86 + 7(4F)5F		114110	113895	215	0.959
	4	84 + 8(4F)3F + 6(4F)3G		113705	113482	223	1.165
	5	82 + 12(4F)3G + 6(4F)5F		113141	112921	220	1.266
	6	100		112787	112489	298	1.333
(4F)z5D	0	91 + 8(4P)5D		114295	114441	−146
	1	88 + 8(4P)3D		114095	114226	−131	1.450
	2	78 + 8(4F)5G + 7(4P)3D		113651	113746	−95	1.369
	3	73 + 13(4F)5F + 8(4F)5G		112935	113002	−67	1.420
	4	63 + 26(4F)3F + 6(4F)5G		111898	111939	−41	1.437
(4F)z3G	3	88 + 7(4F)3F		117606	117660	−54	0.786
	4	83 + 9(4F)3F + 7(4F)5G		116674	116706	−32	1.076
	5	87 + 13(4F)5G		115272	115292	−20	1.208
(4F)z3F	2	92		118115	118082	33	0.678
	3	83 + 8(4F)3G		117251	117232	19	1.068
	4	85 + 10(4F)3G		116192	116167	25	1.232
(4F)z3D	1	93		120273	120304	−31	0.500
	2	92		119670	119694	−24	1.155
	3	90 + 5(4F)3F		118746	118754	−8	1.318
(4P)z5S	2	99		122282	122739	−457	1.994
(4P)y5D	0	86 + 8(4F)5D + 5(2P)3P		130190	130242	−52
	1	75 + 7(4F)5D + 7(2P)3P		129958	130022	−64	1.531
	2	82 + 7(4F)5D		129913	129937	−24	1.484
	3	84 + 7(4F)5D		129954	129944	10	1.490
	4	93 + 6(4F)5D		130312	130224	88	1.497
(4P)z5S	1	53 + 12(2P)3S + 11(4P)5D		130863	131111	−248	1.908
(2G)z3H	4	61 + 28(2G)3F + 6(2G)1G		132157	132057	100	0.953
	5	74 + 15(2G)1H + 7(2G)3G		131500	131367	133	1.035
	6	96		132169	131906	263	1.163
(4P)z5P	1	73 + 20(4P)3S		133340	133446	−106	2.279
	2	45 + 21(2P)3P + 20(4P)3D	(4P)r3D	132818	132919	−101	1.549
	3	71 + 19(4P)3D		133095	133060	35	1.576
(2G)y3F	2	94		134233	134198	35	0.676
	3	78 + 11(2G)3G		133158	133174	−16	1.055
	4	41 + 33(2G)3H + 13(2G)3G		131792	131814	−22	1.051
(2G)z1G	4	47 + 24(2G)3F + 14(2H)1G		133325	133415	−90	1.064
(2P)3P	0	69 + 19(A2D)3P + 6(4P)3P			133134
	1	45 + 19(4P)3D + 12(4P)5P			133556		1.399
	2	49 + 10(2P)3D + 9(4P)5P			133902		1.417
(4P)y3D	1	54 + 15(2P)3D + 13(2P)3P		133840	134055	−215	0.806
	2	42 + 37(4P)5P + 6(4P)5D	(4P)r5P	133500	133406	94	1.432
	3	65 + 20(4P)5P		133391	133434	−43	1.384
(2G)z1H	5	62 + 23(2G)3H + 14(2G)3G		134218	134119	99	1.034
(2G)y3G	3	70+ 16(2G)1F + 8(2G)3F		134335	134375	−40	0.832
	4	73 + 14(2G)1G + 6(2H)1G		134415	134523	−108	1.028
	5	78 + 19(2G)1H		133692	133722	−30	1.156
(2G)z1F	3	57 + 15(2G)3G + 14(A2D)1F		135024	135062	−38	0.965
(4P)z3 P	0	52 + 35(2P)1S + 11(2P)3P			135695
	1	78 + 11(2P)3D		136099	136192	−93	1.371
	2	75 + 10(A2D)3P		135351	135455	− 104	1.470
(2P)x3D	1	54 + 15(A2D)3D + 12(4P)3P		137364	137395	−31	0.682
	2	41 + 29(2P)1D + 12(A2D)3D		136813	136950	−137	1.113
	3	77 + 8(A2D)3F		136965	136964	1	1.322
(2P)1D	2	20 + 24(2P)3D + 20(4P)3D			137768		1.137
(2H)3I	5	95		138061	137997	64	0.843
	6	74 + 25(2H)1I		137392	137357	35	1.020
	7	100		137991	137837	154	1.143
(2H)x3G	3	85 + 6(2F)3G		138852	138891	−39	0.771
	4	90 + 5(2F)3G		138031	138118	−87	1.052
	5	94 + 5(2F)3G		137020	137161	−141	1.198
(2P)1S	0	61 + 39(4P)3P	(4P)z3P	138147	138618	−471
(A2D)w3D	1	50 + 27(2P)1P + 12(2P)3D		138979	138889	90	0.669
	2	63 + 10(2P)3D + 7(2P)1D		139254	139172	82	1.121
	3	79 + 11(A2D)3F		138487	138359	128	1.307
(2H)z1I	6	74 + 24(2H)3I		139634	139600	34	1.010
(A2D)x3F	2	73 + 10(A2D)3D + 8(A2D)1D		140916	140871	45	0.782
	3	71 + 8(2P)3D + 6(2G)1F		140545	140503	42	1.117
	4	98		140184	140117	67	1.250
(2P)3S	1	67 + 8(2P)1P + 8(4P)3S	(2P)z1P	140885	141052	−167	1.780
(2P)z1P	1	49 + 17(A2D)3D + 13(2P)3S	(2P)y3P	141415	141393	22	1.077
(A2D)z1D	2	46 + 29(A2D)3P + 15(2P)1D		142434	142323	111	1.155
(2H)y3H	4	95		143004	143062	−58	0.810
	5	95		142576	142642	−66	1.034
	6	98		142188	142259	−71	1.165
(A2D)y1F	3	73 + 16(2G)1F + 7(A2D)3F		143865	143944	−79	1.014
(2H)y1G	4	70 + 27(2G)1G		144154	144162	−8	0.997
(A2D)x3P	0	80 + 15(2P)3P			145110
	1	67 + 11(2P)3P + 9(2P)1P		144624	144667	−43	1.431
	2	48 + 24(A2D)1D + 11(2P)3P		143560	143476	84	1.334
(A2D)y1P	1	88		145950	146006	−56	1.062
(2H)y1H	5	96		146326	146504	−178	1.001
(2F)y1D	2	60 + 32(2F)3F	(2F)w3F	155444	155123	321	0.897
(2F)3G	3	82 + 10(2F)3F + 6(2H)3G			155392		0.787
	4	73 + 15(2F)3F + 6(2F)1G	(2F)w3F	155842	155842	0	1.078
	5	94 + 5(2H)3G			156734		1.200
(2F)w3F	2	64 + 29(2F)1D	(2F)y1D	156524?	156518	6	0.786
	3	68 + 19(2F)3D + 8(2F)8G	(2F)v3D	156853	156444	409	1.107
	4	50 + 28(2F)1G + 20(2F)3G			156906		1.138
(2F)v3D	1	93 + 5(B2D)3D		157235	157142	93	0.502
	2	85 + 8(2F)1D		157155	157121	34	1.152
	3	72 + 18(2F)3F	(2F)w3F	156972	156833	139	1.270
(2F)x1G	4	65 + 32(2F)3F		157376	157317	59	1.084
(2F)1F	3	97		161755	161735	20	1.003
(B2D)w3P	0	99		176738	176727	11
	1	98		176583	176601	−18	1.491
	2	99		176488	176513	−25	1.497
(B2D)v3F	2	96			177858		0.670
	3	96		178452?	178440	12	1.083
	4	97			179196		1.250
(B2D)1P	1	95			181237		0.991
(B2D)1F	3	97			181516		1.007
(B2D)3D	1	95			183763		0.518
	2	73 + 25(B2D)1D			183976		1.123
	3	96			184740		1.327
(B2D)1D	2	72 + 25(B2D)3D			184456		1.042

Table 19.

Observed and calculated levels of Cu iii 3d⁸4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(3F)z4D	1/2	94 + 6(3P)4D		122637	122764	−127	0.004
	3/2	93 + 5(3P)4D		121864	122012	−148	1.185
	5/2	91 + 5(3P)4D		120578	120765	−187	1.357
	7/2	93 + 4(3P)4D		118864	119113	−249	1.421
(3F)z4G	5/2	93 + 6(3F)4F		123440	123316	124	0.604
	7/2	81 + 10(3F)4F + 8(3F)2G		122504	122416	88	1.008
	9/2	66 + 22(3F)2G + 12(3F)4F		121337	121318	19	1.178
	11/2	100		121698	121488	210	1.273
(3F)z4F	3/2	90 + 5(3F)2D		125745	125721	24	0.445
	5/2	84 + 6(3F)4G		125382	125324	58	1.011
	7/2	73 + 13(3F)2F + 10(3F)4G		124558	124506	52	1.202
	9/2	82 + 14(3F)2G		123550	123516	34	1.296
(3F)z2G	7/2	82 + 10(3F)2F + 6(3F)4G		126094	126175	−81	0.926
	9/2	64 + 31(3F)4G + 5(3F)4F		124442	124432	10	1.141
(3F)z2D	3/2	82 + 8(1 D)2D + 7(3F)4F		128435	128465	−30	0.781
	5/2	77 + 14(3F)2F + 5(1D)2D		126892	126934	−42	1.149
(3F)z2F	5/2	79 + 14(3F)2D + 5(3F)4F		128679	128736	−57	0.912
	7/2	75 + 12(3F)4F + 9(3F)2G		126829	126902	−73	1.127
(3P)z4P	1/2	90 + 7(1D)2P		137041	137012	29	2.468
	3/2	76 + 10(1D)2P + 5(1D)2D		136483	136500	−17	1.607
	5/2	76 + 15(1D)2D		136607	136605	2	1.497
(1D)y2F	5/2	81 + 8(3P)4P		138084	138009	75	0.939
	7/2	83 + 10(3P)4D + 6(1G)2F		138982	139819	163	1.170
(1D)y2D	3/2	57 + 17(3P)4P + 9(1D)2P		138988	139077	−89	1.044
	5/2	77 + 14(3P)4P		139757	139823	−66	1.240
(1D)z2P	1/2	62 + 26(3P)2P + 9(3P)4P		139261	139189	72	0.865
	3/2	59 + 23(1D)2D + 10(3P)2P		140201	140177	24	1.220
(3P)y4D	1/2	93		142550	142492	58	0.019
	3/2	87 + 5(3F)4D + 4(3P)2D		142512	142443	69	1.186
	5/2	77 + 13(3P)2D + 4(1D)2F		142426	142397	29	1.326
	7/2	86 + 8(1D)2F		142820	142737	83	1.397
(3P)x2D	3/2	60 + 26(3P)2P + 7(1D)2P	(3P)y2P	145353	145214	139	1.005
	5/2	81 + 15(1P)4D		144194	144262	−68	1.219
(3P)y2P	1/2	68 + 26(1D)2P + 5(3P)2S		146676	146409	267	0.721
	3/2	52 + 34(3P)2D + 11(1D)2P	(3P)x2D	144875	144764	111	1.139
(1G)z2H	9/2	99		146534	146430	104	0.911
	11/2	100		147647	147437	210	1.091
(3P)z2S	1/2	94		147652	147970	−318	1.922
(3P)z4S	3/2	98		147816	147975	−159	1.988
(1G)x2F	5/2	92 + 6(1D)2F		148663	148649	14	0.860
	7/2	88 + 9(1D)2F		147806	147893	−87	1.144
(1G)y2G	7/2	99		153609	153743	−134	0.891
	9/2	99		153808	153942	−134	1.110
(1S)2P	1/2	99			183398		0.667
	3/2	99			184608		1.333

Table 20.

Observed and calculated levels of Zn iii 3d⁹4p

Name	J	Percentage	AEL	Observed	Calculated	O–C	Lande C.
(2D)z3P	0	100		141401	141285	116
	1	97		140080	140060	20	1.480
	2	98		137876	138023	−147	1.493
(2D)z3F	2	96		142491	142405	86	0.688
	3	71 + 26(2D)1F		140664	140726	−62	1.068
	4	100		141335	141195	140	1.250
(2D)z1F	3	67 + 18(2D)3F + 12
		(2D)3D	(2D)3D	144511	144544	−33	1.066
(2D)z1D	2	62 + 34(2D)3D	(2D)3D	145252	145451	−199	1.051
(2D)z1P	1	98		147505	147279	226	0.998
(2D)z3D	1	97		147577	147587	−10	0.521
	2	61 + 37(2D)1D	(2D)1D	147928	148015	−87	1.101
	3	82 + 11(2D)3F + 7	(2D)1F
		(2D)1F		145974	146023	−49	1.283