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Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry logoLink to Journal of Research of the National Bureau of Standards. Section A, Physics and Chemistry
. 1963 Dec 1;67A(6):505–554. doi: 10.6028/jres.067A.051

Analysis of the Spectrum of Neutral Atomic Bromine (Br I)

Jack L Tech
PMCID: PMC5322769  PMID: 31580597

Abstract

The spectrum of the neutral bromine atom, Br I, has been newly investigated by using electrodeless discharge tubes as light sources. The observations have led to a list of wavelengths and estimated intensities for 1253 spectral lines in the range 1067 to 24100 Å. The number of known energy levels has been increased to 123 even and 128 odd levels, as compared with the 27 even and 33 odd levels previously known. All predicted energy levels of the 4s24p4ns, up, nd, nf electron configurations from 0 to ~93250 K have been discovered. The observations in the vacuum ultraviolet establish that the positions of all the levels lying above those of the ground configuration as given in the compilation Atomic Energy Levels, Vol. II (1952) should be increased by 6.7 K. All but 26 faint lines of Br I have been classified. A total of 67 levels has been ascribed to the 4s2 4p* nf configurations. It is demonstrated that the nf configurations exhibit almost pure pair coupling. The very regular (3P2)nf[511/2 series yields for the principal ionization energy of Br I the value 95284.8 K.

1. Introduction

It has been part of the recent program of this laboratory to obtain improved descriptions and analyses of the first and second spectra of the heavier halogens. Work on the Br II and Cl I spectra is currently in progress, and the results for II and I II have already been published [1, 2].1 It is the purpose of the present paper to report the results for the first spectrum of bromine, Br I.

Iodine and bromine are very frequently used in electrodeless metal-halide lamps [3] serving as light sources for the study of rare-earth and other metallic spectra. Since the spectrum of both the metal and the halogen will appear when such a lamp is excited, it is essential that the user have available a complete and accurate description of the spectrum of the halogen in order to separate the halogen lines from those of the metal under investigation.

The most thorough study of Br I hitherto available is that contained in the excellent paper on the structure of the arc spectrum of bromine published 30 years ago by C. C. Kiess and T. L. de Bruin [4]. That paper gives, also, a summary of the investigations of Br I carried out prior to 1930. The Br I analysis by Kiess and de Bruin appears with minor revisions in the compilation “Atomic Energy Levels” [5], and when we refer to the analysis given by those authors we shall mean the form as presented in AEL.

The most significant contributions to the study of Br I to appear since 1930 are those by P. Lacroute [6], who studied the Zeeman effect in this spectrum and made some wavelength measurements in the Schumann region; and by Tolansky and Trivedi [7], who made a rather extensive study of hyperfine structure (hfs) in Br I. In the course of the latters’ analysis of the structure of 64 lines in the range 4390 to 8700 Å it was found that a number of lines exhibited hfs patterns that could not be satisfactorily explained on the basis of the interpretation of these lines as offered by Kiess and de Bruin. Without going into details, we merely state that all the anomalies encountered by Tolansky and Trivedi have been eliminated by the extended analysis of this spectrum given in the present work.

This considerably improved analysis results largely from the use of more refined apparatus, photographic emulsions, and light sources than were formerly available. The analysis rests chiefly on the 1035 spectral lines that we have recorded for Br I by using electrodeless discharge sources in the photographic air region. In comparison, Kiess and de Bruin’s line list contained only 330 lines, which is reduced to 274 when the 56 lines listed by them but not confirmed in our work are rejected.

The analysis of Br I as given in AEL has undergone a number of changes as a result of clues furnished by the greatly augmented line list. These changes can be summarized briefly as follows:

Number
Even Odd



Original levels 39 39
Rejected 12 6
J or designation changed 7 17
Total real 27 33

The new wavelengths have permitted us to find 123 even and 128 odd levels for Br I compared with the 27 even and 33 odd levels listed in AEL.

2. Wavelength Material

(a) Vacuum region: We have observed the bromine spectrum below 2000 Å by use of a vacuum spectrograph having as dispersing element a concave grating of two-meter radius and ruled with 30,000 lines per inch directly on Pyrex. The plate factor at the normal (1920 Å) is 4.26 Å/mm, and the plateholder covers the range 0 to 2570 Å in the first order.

The light source was an end-on glass discharge tube having two side-arms set off by stopcocks and containing reservoirs of bromine and iodine. The discharge tube was affixed to the slit housing of the spectrograph by means of an ◯-ring seal, so that the slit opened directly to the discharge. The bromine vapor was retarded from entering the main spectrograph chamber by continuous pumping through a trap that entered the discharge tube just before the slit. The bromine vapor pressure in the discharge, excited in the field of 2450 Mc/s radiation from a microwave oscillator, was partly controlled by regulating the temperature at the bromine reservoir. Helium was also admitted into the discharge. The auxiliary iodine reservoir was used to provide standards [1] to supplement the impurity standards of hydrogen, helium, carbon, nitrogen, oxygen, and chlorine [8, 9]. We used EK 103a–O UV and SWR plates and measured the 1000 to 1280 Å region in the second order and the 1000 to 1650 Å region in the first order.

Table A1 in the appendix lists the 124 spectral lines in the vacuum region that we have attributed to Br I. The observed wavelengths in the first column of this table represent the weighted means of only two measurements in the second order for the range 1067 to 1120 Å and of three or more measurements in the first and second orders for the range 1120 to 1633 Å. We have also made use of measurements by W. C. Martin and C. H. Corliss of certain bromine lines that occurred on their iodine spectrograms.

The new wavelengths have made it possible to establish the ground Br I energy separation 4p52P3/2°2P1/2° as 3685.2 K with an estimated error of ±0.3 K.2 Since none of the higher Br I energy levels make transitions to the ground term that yield lines in the air region, it is necessary to fix the energies of these higher levels with respect to the ground  2P3/2° level by use of the vacuum observations only. Our new vacuum wavelengths establish the absolute positions of all levels above the ground level to an estimated accuracy of ± 0.3 K and require that the corresponding values for Br I levels in AEL be increased by 6.7 K.

Since the relative positions of the higher Br I levels have been accurately fixed by observations in the air region, we can calculate the Br I lines in the vacuum region on an accurate and uniform scale once we have made the energy connection between the ground and excited levels through our measured vacuum wavelengths. These calculated wavelengths are given in column 2 of table A1; they agree to a better extent with the measured wavelengths over the entire range than to the ±0.01 Å we would have ventured to estimate solely on the basis of examination of the agreement of wavelengths derived from the different exposures, and especially in recognition of the inadequate standards in certain parts of the region.

(b) Air region: A preliminary list of Br I wavelengths in the photographic air region was given earlier by Tech and Corliss [10]. One will find in that paper a thorough description of the experimental procedure and the preparation of the light sources, which we summarize briefly.

Workers have encountered in the past two major difficulties in obtaining a light source suitable for the investigation of the bromine spectrum: (i) bromine is so chemically active a material that it attacks hot internal electrodes; and (ii) water vapor in the bromine causes the appearance of troublesome extraneous bands. Both these difficulties were eliminated in the present work by using electrodeless discharge lamps, excited by a Raytheon Microtherm microwave generator at 2450 Mc/s. For our first series of observations, we used lamps containing BeBr2, but for the more recent series we used lamps containing pure bromine vapor at a pressure of the order of several millimeters of mercury and dried by means of several passes through P2O5 as described in [10]. The absence of water vapor in our lamps is attested to by figure (1), displaying the bromine spectrum in the vicinity of Hα: (6563 Å). It will be noticed that Ha does not appear at all in the bromine exposure. On the other hand, this figure shows clearly the highly objectionable Br2 background that occurs on spectrograms of long exposure and that reduces the effective resolving power. Furthermore, the presence of such bands often makes it difficult to decide whether certain faint lines are of atomic or molecular origin.

Figure 1. The bromine spectrum in the vicinity of Hα (6563 Å).

Figure 1

Exposure (b) was made with an electrodeless discharge tube containing bromine vapor excited by a microwave diathermy unit. Exposure (d) is of bromine excited by a high voltage ring discharge apparatus that enhanced Br II. The other exposures are of thorium, which served as secondary standards. Hα occurs only in the middle thorium exposure (c).

The spectrograms were made in the first and, wherever possible, second orders with concave gratings having 7,500, 15,000, and 30,000, lines per inch, and mounted in parallel light (Wadsworth mounting), giving first order plate factors of 10, 5, and 2.4 Å/mm respectively. All the spectrograms bore exposures to an electrodeless lamp containing thorium or iron, or to the iron arc, to serve as secondary standards in the determination of the bromine wavelengths. The plates were reduced either by linear interpolation and a correction curve, or by putting the micrometer readings of the lines on punched cards and carrying out the reduction by use of an IBM 704 computer, which adjusted all wavelengths to fit a fourth degree equation determined by least squares.

Table A2 contains the wavelengths, intensities, wave numbers, and classifications of 1035 Br I lines observed in the range 3325 to 12810 Å. Except for the weaker lines in the region 4264 to 5721 Å, and except for very faint lines over the whole range, the wavelengths in the table represent the weighted means of from two to eight measurements. Because of the inherent broadness of many of the lines, partly as a result of unresolved hyperfine structure, and because the weaker lines were only measured once or twice, the accuracy of the wavelengths is not as great as one would wish. The estimated error of the wavelengths according to spectral region is:

λ
Error
3325–4300 Å   ± 0.005 Å
4300–7400 Å ± 0.02 Å
  7400–11000 Å ± 0.03 Å
11000–12900 Å ± 0.06 Å

Lines in table A2 whose wavelengths are connected by braces are individually measured components of resolved or partially resolved hyperfine structure. Most of the Br I lines exhibiting such wide, resolved hfs patterns result from transitions involving the 4p4(1D2)5s 2D5/2, 2D3/2 levels or the 4p4(3P2)5s 4P5/2 level, a clue that was very useful in the analysis.

The character of certain lines is indicated by inserting the following symbols after the intensity of the line:

c almost resolved hyperfine structure
d unresolved double line
h hazy, diffuse
H very hazy, very diffuse
s shaded to shorter wavelengths
w wide
W very wide.

The numbers in column 2 of the table are visual estimates of the intensities on an approximately linear scale where the faintest line is assigned an intensity 1. It must be emphasized that these relative intensities are valid only over small wavelength ranges, and no attempt has been made to adjust the values to take into account the varying sensitivity of the photographic emulsions.

Lines of wavelength greater than 11316 Å were measured also on the infrared recordings described in the next section. For comparison, the intensities derived from these recordings are listed in parentheses following the photographic intensities for these lines in table A2. The symbol (m) indicates that the line was masked on the recorder charts either by a standard line or by a bromine line of another order.

Table A2 incorporates several improvements over our earlier list of wavelengths. Additional chlorine lines were deleted by consulting the unpublished chlorine line list of Corliss. Chlorine accounted for nearly all the impurity lines found on our spectrograms. Furthermore, several faint lines, measured only once, especially in the region 4725 to 4825 Å have been ascribed to Br2 and removed from the list. The line at 4358.33 Å has been attributed to Hg and probably originated in the scattered light entering the slit from fluorescent illumination in our source room.

More importantly, additional plates have been measured in parts of the spectrum above 7400 Å. This has not only yielded a number of new lines in this region, but also has allowed us to correct a small systematic error of uncertain origin that was present in some of the earlier measurements in this region. The new wavelengths from 7400 to 9700 Å differ, if at all, by only about +0.01 Å from the earlier values. Above 9700 Å the correction averages somewhat less than +0.04 Å.

Finally, W. F. Meggers and R. Zalubas have generously provided us with some Br I wavelengths that they had measured on their Yb and Th spectrograms, respectively. These measurements have also been averaged into our new mean wavelengths.

(c) Lead sulfide region: The infrared description of Br I was extended to 24100 Å by the use of recording infrared spectrometers. The wavelengths of 94 new lines were measured by the author from radiometric records in the form of recorder charts generously supplied expressly for this investigation by C. J. Humphreys at the Naval Ordnance Laboratory, Corona, and by E. D. Tidwell at the Bureau. In both laboratories electrodeless discharge lamps, containing pure bromine and excited by 2450- megacycle microwave diathermy units, served as light source. The records made at Corona were obtained by scanning the spectrum with the highresolution grating spectrometer designed and built at the National Bureau of Standards. This apparatus has been described by Humphreys and Kostkowski [11]. The bromine wavelengths were measured on these records by linear interpolation between krypton standards that were introduced by reflection from back of the various filters used to sort out the higher order bromine lines. This procedure does not yield the most precise wavelengths, but it was entirely satisfactory for our purposes. For nearly all lines, the departure of the measured wavelengths from those calculated by the combination principle was less than 1 Å. All lines (except 19317 Å and 21093 Å) of intensity 40 and above in the region beyond 19000 Å were also measured on the tracings made by Tidwell, who used the infrared spectrometer at NBS. These wavelengths could be measured with precision by interpolation between the white-light fringes of a Fabry-Perot interferometer that were recorded simultaneously with the bromine spectrum. This technique, as well as the spectrometer apparatus, has been described by Plyler, Blaine, and Tidwell [12].

With the exception of a single chlorine line,3 every line established from these records can be classified as a transition between Br I levels whose values have been accurately determined from observations in the photographic air region. Precise wavelengths for these lines can therefore be calculated by use of the combination principle. It is these calculated wavelengths that are listed in table A3, which includes four lines above 12000 Å that were also observed photographically.

The relative intensities given in the second column of this table express, in tenths of an inch, the heights of the recorded line profiles above the continuum. One of the tracings furnished by Humphreys was selected to provide the standard scale to which the intensities of lines measured on other tracings would be referred. As the spectrum was being scanned, lines of intensity greater than 85 were attenuated by manual adjustment of a resistance network introduced in the input of the amplifier. The measured heights of these lines were multiplied by the known attenuation factors corresponding to the various resistance box dial settings. Since the amplifier is linear within the limits of loading, and the response of the detector is almost flat within the range covered, the relative intensities are considered to be very reliable over intervals of several hundred angstroms, but not over the entire region covered, inasmuch as no correction was made for the spectral response of the detector or angular distribution of energy from the grating.

In table 1 are displayed the wave numbers and intensities (in parentheses) of certain important multiplets observed in the radiometric region. Observed multiplets that helped to establish the important (3P)6s 4P levels are shown in table 2. In both these tables, transitions allowed by the selection rules, but unobserved, are indicated by horizontal bars.

Table 1.

Wavenumbers and intensities of selected multiplets observed in the radiometric region

graphic file with name jresv67an6p505_a1bt1.jpg

Table 2.

Some observed multiplets involving the 6s 4P levels

4P5/2
82236.17
6 s
4P3/2
82661.57
4P1/2
85576.93

5p  4P5/2° (1700) (20)
74672.32 7563.85 7989.25
 4P3/2° (750) (110) (500d)a
75009.13 7227.04 7652.44 10567.80
 4P1/2° (338)
75814.00 6847.57 ——

5p  4D7/2° (1250)
75521.50 6714.67
 4D5/2° (1800)
75697.05 —— 6964.52
 4D3/2° (10 w)a
76743.08 —— —— 8833.85
 4D1/2° (55)
78865.72 6711.21

5p  4S3/2° (24)
79178.33 6398.60
a

These two lines were observed photographically.

3. Term Structure of Br I

The unexcited state of the neutral bromine atom is characterized by the electron configuration 4s2 4p5, which yields an inverted 2P term of odd parity. From the vacuum ultraviolet observations discussed above, the position of 4s24p5  2P1/2° is found to be 3685 K, relative to  2P3/2° taken as zero. The 4s4p6 configuration gives one even level, 2S1/2, while all other known Br I levels arise from excited configurations of the type 4s2 4p4 nl, where l stands for the letters s, p, d, f indicating the orbital angular momentum quantum number, and n is the principal quantum number. It is convenient to refer to 4s2 4p4 nl configurations simply as nl configurations. The terms that are expected theoretically for each of these configurations are displayed in table 3, built in the LS scheme. The nl levels are based on, and can be derived from, the parent 3P2,1,0 1D2 and lS0 terms of the 4p4 configuration of the ion, Br+. The observed distribution of the levels in each of the Br I nl configurations indicates that the coupling energies of the 4p4 core dominate the structure of the Br I levels. With just a few exceptions the coordination of Br I levels to specific components of the limiting 4p4 terms is unambiguous. When discussing Br I levels in text, this limit is stated explicitly. However, in our tables of observed lines, the levels involved in the classification of the lines are written in an abbreviated notation, which affixes no prime, one prime, and two primes to the symbol for l-value to designate that the level is based on the 3P2, 3P1, and 3P0 parent, respectively. For levels based on 1D2 and 1S0, the parent is stated explicitly.

Table 3.

Predicted, terms of Br I

Configuration Predicted terms


4s2 4p5     2
4s 4p6 2S

ns
n ≥5
np
n ≥5
nd
n ≥4
nf
n≥ 4
ng
n≥5





4s2 4p4(3P)nl { 4P 2P 4(SPD)° 4(PDF) 4(DFG)° 4(FGH)
2(SPD)° 2(PDF) 2(DFG)° 2(FGH)
4s2 4p4(1D)nl 2D 2(PDF)° 2(SPDFG) 2(PDFGH)° 2(DFGHI)
4s2 4p4(1S)nl 2S 2 2D 2 2G

The positions of the Br II 4p4 levels have been accurately determined by Martin and Tech [14], who established the 4p4 3P2, 1, 0 levels from new observations of the vacuum ultraviolet spectrum and the 1D2 and 1S0 levels from observations in the air region of the “forbidden” magnetic dipole transitions, 4p4 3P2–4p4 1D2 and 4p4 3P1 – 4p4 1S0. Since the distribution of these parent levels manifests itself in the structure of all the Br I configurations, the positions of the observed parent levels are repeated here in table 4, together with a slightly different fit to intermediate coupling theory from that given earlier.

Table 4. Observed and calculated, positions for the energy levels of the 4p4 configuration in Br II.

Energies and coupling parameters are stated in kaysers

Level Observed position Obs.-Calc. Obs.-Calc.




F2= 1690 F2= 1698.1
ζ4p=2800
ζ4p= 2795.0
3P2 0.0 0 0
3P1 3136.4 +6 +13
3P0 3837.5 −18 −14
1D2 12089.1 −111 −153
1S0 27867.1 +112 0

The spin-orbit interaction energies in the 4p4 configuration may be obtained by reversing the sign of ζp in the matrices for p2 given in The Theory of Atomic Spectra [15, p. 268]. The diagonal electrostatic energies to be added are4

 3P:6F015F2 1D:6F09F2 1S:6F0

where F0=F0(4p, 4p) and F2=125F2(4p,4p). The choice of coupling parameters in the previous calculation of the distribution of Br II 4p4 levels [14] resulted in the fit shown in the third column of table 4. Since these discrepancies reappear to some extent in the calculation of Br I 4p45s levels presented below, it has seemed worthwhile to recalculate the parents in order to demonstrate that, with just a small change in parameters, the calculation of Br II 4p4 1S0 can be improved without appreciably affecting the fit for the 3P2,1,0 levels. The new fit, shown in the last column of table 4, is a strict least squares fit to the four levels other than 1D2. It predicts the total energy spread of the configuration exactly, and emphasizes that the larger discrepancy for 4p4 1D2 may actually be due to a perturbation by a higher level, since the discrepancy is in the right direction.

Tables 5 and 6 contain all the energy levels of the neutral bromine atom that we have been able to find by using the new wavelengths. The tables are arranged so as to display clearly the level parentage, configuration, and series. For each level are given the energy (E) relative to 4p5  2P3/2° taken as zero, the absolute energy value (T) measured from the principal ionization limit, i.e., from Br II 4p4 3P2, and the effective quantum number (n*) calculated according to n*=√(R/T), where R is the Rydberg constant for bromine, 109736.56 K. The designations of the levels, usually in both the LS scheme and the Jcl scheme, are given just to the left of the first member of each series and hold for all other levels of the series. In all except the nf configurations one might say that the coupling is “midway between” the LS, Jcj, and Jcl coupling schemes. The almost pure pair-coupling in the nf configurations permits positive assignment of Jcl symbols to the nf levels. All other levels are consistently referred to in terms of the adopted LS symbols, for reasons of tradition, of the general familiarity of this notation, and of the lack of any really satisfactory solution to the vexing problem of notation for intermediate couplings.

Table 5.

Odd parity levels of Br I

graphic file with name jresv67an6p505_a1bt2.jpg
graphic file with name jresv67an6p505_a1bt3.jpg

Table 6.

Even parity levels of Br I

graphic file with name jresv67an6p505_a1bt4.jpg
graphic file with name jresv67an6p505_a1bt5.jpg

Figure 2 shows the distribution of ns, up, nd, nf levels through n=9. The small horizontal bars in each nl column represent the position of one or more levels. The scale of the diagram does not allow an individual representation for each level. The vertical lines in each column separate groups of levels having different parents, the lowest group of levels in each column being based on the (3P2) parent. It should be remembered that when a level group appears to be intersected by a vertical line (by virtue of being met from above and from below by such a line), then there is a change of parent in either going to the next higher or the next lower group. The separation of the level groups for each nl clearly reflects the energy differences of the parent limits shown by the dashed lines in the figure. Thus, except for absolute energy position, the levels of many nl sets have the same appearance in this figure: three groups of levels held apart by the parent differences. This “building-block” character is well observed at 4f, 5f, 6p, and 7s, for example, and can be expected to hold at all high n. The dotted level positions represent some predicted, but unobserved, levels based on (3P1,0). It is seen that the only unobserved levels based on parents other than (3P2) and lying below the (3P2) limit are those of (3P1) 8p, (3P1)7d, and (3P0)8s. The other dotted positions fall above the (3P2) limit, and the atoms excited to these levels can be expected to autoionize.

Figure 2.

Figure 2

The distribution of Br I energy levels for n = 4 to n = 9, as discussed in the text.

It is convenient at this point to discuss the extent to which significance may be attached to the symbols used in this paper to describe the energy levels. The LS symbols are based on an examination of the intensities in the transition arrays, with symbols being assigned in such a way that the intensity relations most nearly conform to the well- known LS rules. The arrays used were those containing levels of low principal quantum number n, the assignments being retained along series without regard to intensities. LS symbols assigned to levels in this way will not necessarily survive if the actual energy matrices in the LS scheme are diagonalized and the eigenvectors found, because when the coupling strongly departs from the LS scheme, the intensities then being governed more by, say, the Jcl rules, the LS symbols to which one is led depend more on Jc and K and will not with assurance correspond to the major LS contribution to the composition of the levels. A preliminary rough diagonalization of the Br I 5p energy matrices suggests, for example, that the “percentage-method” would require the ( 3P2)5p4D5/2° and ( 3P1)5p2D5/2° levels to have their designations interchanged, whereas the intensities would not suggest this. In any case, the departure from LS coupling is so great that L and S are not good quantum numbers anyway, making meaningless any involved procedure for naming the levels. In the absence of reliable eigenvectors, the “intensity-method” seems to be the most attractive. The np LS assignments in Br I turn out to correspond exactly to those in FI [16], but are quite different from those adopted for the 11 np levels by Kiess and Corliss [1], who assigned LS symbols by forming a one-to-one best correspondence of Laudé g-factors to observed g-factors. For small departures from pure LS coupling, all three methods should result in the same designations.

Ideally, one should like to designate observed levels in the notation of the coupling scheme in which the energy matrices are already most diagonal, that is, in which there is the least nondiagonal contribution to the energies (eigenvalues). In this sense, the Br I nf configurations are very nearly pair-coupled, and Jcl symbols should certainly be used for the nf levels. For the sake of consistency, Jcl symbols have also been assigned to the other Br I levels, as alternatives to the LS symbols. This is justifiable on the grounds that for ns the choice of Jcl or Jcj notation is arbitrary owing to the identity of the matrices built in the two schemes, while for np and nd the notation could be equally well Jcl or Jcj since the coupling is intermediate. In these cases only exact calculation would allow us to decide in favor of one or the other scheme, and this would still be difficult for nd because of the sizeable perturbations that afflict the nd configurations. The Jcl designations for the Br I np levels have been chosen on the basis of approximate calculations by using the diagonal Jcl energy expressions. Diagonal expressions are less valid for nd, so that only general considerations of level positions could be invoked in the assignment of Jcl notation, the primary emphasis being placed on the intensities of (3P2)4d– (3P2)nf transitions for the (3P2)4d designations and 5p–4d, 5p–5d transitions for the other nd designations.

The main features of Jcl coupling and the theoretical treatment of electronic configurations exhibiting this type of coupling are discussed at length by Minnhagen [17] in his fine paper on Ar II. The theoretical treatment is based upon the general formulas of Möller [18], who calculated the p4l matrices of electrostatic energy in the Jcl scheme. The corresponding matrices of spin-orbit interaction have recently been provided by Källén and appear in the appendix of reference [19].

A pair-, or Jcl coupled configuration is characterized by (i) a domination by the core coupling energies, and (ii) an electrostatic interaction of the outer electron with the core that is stronger than the spin coupling of this electron. The second requirement means, in the case of the 4p4nl configurations of Br I, that the contribution of F2(4p, nl) to the level energies must be greater than that of ζnl and the Gk(4p, nl). The notation used for a level in a pair- coupled configuration is that suggested by Racah [20], in which the level is designated as ()nl [K]J, where the parent is placed in the parentheses, and where K, the intermediate quantum number, is the quantized resultant of the coupling of the total angular momentum Jc of the parent ion with the orbital angular momentum of the external electron. The coupling of K with the spin of this electron gives the J-value of the level. Each K-value thus has two J-values associated with it, J=K±½. For Br I, Jc can take the values 2, 2, 1, 0, and 0, corresponding to the five levels of the ground configuration 4p4 in the ion. The selection rules governing electric dipole transitions between Jcl coupled levels are

ΔJc=0;ΔK=0,±1;Δl=±1;andΔJ=0,±1.

The last two are, of course, independent of coupling, but the first two are easily violated when departures from pure pair coupling occur, because the energy matrices are not diagonal in Jc or K.

Owing to the departures in Br I from any pure coupling scheme, the single level eigenfunctions of any such scheme are mixed. L, S, Jc, and K are not very good quantum numbers, and the only restrictions on transitions seem to be those on parity and ΔJ.

4. Ionization Limits

A very sharp determination of the principal ionization limit of the neutral bromine atom is possible now that the (3P2)nf[5]11/2° series has been observed. This series is found not only empirically to provide the best value for the limit; it is also the series one might expect on theoretical grounds to provide such a best value. The theoretical criterion one should use in the selection of the least perturbed series for the limit determination is that the effect of nondiagonal matrix elements connecting the levels to other levels of common l and J value shall be very small or zero. In general, this criterion restricts consideration to series of levels with high l and J values.

Since no level with J=11/2 can occur in the np configurations, there will be no perturbation of the (3P2)nf[5]11/2° series by levels of those configurations. Indeed, the only nondiagonal element that makes a connection to this series is the ζ4p element between (3P2)[5]11/2° and (1D2)[5]11/2°, but the latter nf series is well above the (3P2) ionization limit, the lowest member of the series, (1D2)4f[5]11/2°, being already more than 5000 K above the (3P2) limit.

The actual determination of the limit from the (3P2)nf[5]11/2° series has been carried out graphically. The enective (principal) quantum number, n*, of a series member is defined by the relation T=R/(n*)2, where T is the position of the level measured from the series limit and R is the Rydberg constant, which for bromine equals 109736.56 K. If the series is Ritzian, then n*=n–α–βTn, where n is the running principal quantum number and α and β are constants for a given series. The position of the series limit is taken as that value for which the plot of (n—n*) versus Tn yields the best straight line. The quantity (n–n*) defines the quantum defect, δ=a+βTn. In practice it is usually more convenient to plot Tn against (C–δ), where C is some integer for the series such that (C–δ) is the part of n* to the right of the decimal.

Figure 3 shows that a very nearly straight line results if the 4p4(3P2) limit is taken to be 95284.80 K above the 4p5  2P3/2° ground level of Br I. The vertical lines through the points represent the deviation of (1 – δ) resulting from a change in the limit of ±0.10 K. If the adopted series limit is reduced by only one kayser, we obtain the unsatisfactory and unreasonable behavior of this series depicted by the second plot in figure 3.

Figure 3. The ( 3P2)nf[5]11/2° series plotted for two different values of the limit.

Figure 3

The upper curve results from changing the value of the Br I ionization potential by only 1.00 K from the value adopted for Br I on the basis of the lower plot. The vertical bars in the lower plot show the effect on (1–δ) of a change of ± 0.1 K in the limit.

With the adopted IP= 95284.80 K, we have made a least squares calculation of the constants α and β by using the first five series members. How well these constants reproduce the series members can be seen from table 7. The position of ( 3P2)9f[5]11/2° would have to be raised by 0.09 K in order to bring its point in figure 3 onto the line. This is certainly within the experimental error, since the level has been established on the basis of two measurements of a wide, hazy line at 7495.46 Å. A change of 0.05 Å in this wavelength would bring the corresponding level into line.

Table 7. Observed Br I ( 3P2)nf[5]11/2° series members compared with positions calculated by use of the Ritz formula.

α = 0.016505

β =−9.585×10−7

Config. Observed Calc. Obs.-calc.




4f 88392.18 88392.19 −0.01
5f 90873.70 90873.70   0.00
6f 92222.74 92222.73 +0.01
7f 93036.08 93036.07 +0.01
8f 93563.77 93563.78 −0.01
9f 93925.35 93925.44 −0.09

The value of 95284.80 K for the principal ionization energy is well supported by other series. The ( 3P2)nf[5]9/2° series gives an identical limit, although the point for 9f again falls about 0.1 K below the line, and again the spectral line establishing the level is wide and faint (7783.44 Å). With this limit, the plots of the higher members of the (3P2)nd 4F9/2 and ( 3P2)np4D7/2° series are also very nearly linear, while the greater deviation from linearity in the first few members of each of these series is a result of the changing coupling conditions along the series.

It may be pointed out that, although the apparent depression of ( 3P2)9f[5]11/2° and ( 3P2)9f[5]9/2° is within the experimental uncertainty, the depression of these levels might more interestingly be a result of an inter-ionic Stark effect. The conditions at 9f are ripe for such an effect, and the character of the observed lines from these levels are certainly suggestive of Stark broadening. Such an interpretation is strengthened by the fact that the lines ( 3P2)4d4F9/2( 3P2)7f[5]11/2° and ( 3P2)4d4F7/2( 3P2)7f[5]9/2°, as well as 9 out of 13 of the observed (3P2)4d–(3P2)8f lines have been recorded as hazy or wide. The regularity of the ( 3P2)nf[5]11/2° series used to determine the ionization limit leaves no doubt, however, that the determination is an excellent one, accurate to probably ±0.15 K relative to the levels used in the determination, even allowing a small Stark effect on the n = 7, 8 members. Such an effect would have no more influence than the normal experimental error on the limit determination.

It seems reasonable therefore to adopt 95284.8 ± 0.5 K as the position of Br II 4p4 3P2 above the ground level of Br I. We have included in the stated error the estimated accuracy of the absolute positions of the higher levels. With the conversion factor 12395×10−8 ev/K as adopted in AEL, we obtain 11.811 ev for the principal ionization energy of Br I. If we use a more recent value [25] for the conversion factor, 8066.03 ±0.14 K/ev, we obtain 11.8131 ±0.0003 ev for this ionization energy.

Although several Br I series having three members and based on the higher (3P1,0) are known, none of them is unperturbed. More accurate values for the positions of the higher limits can be found by combilling the above (3P2) limit with the positions of the Br II 4p4 levels as given by Martin and Tech [14]. It is estimated that these Br II levels are accurate to ±0.5K. The five limits are then as follows:

( 3P2):95284.8( 3P1):98421.2( 3P0):99122.3( 1D2):107373.9( 1S0):123151.9

These are the limits that were used in the calculations of n* for the Br I levels.

The (3P2) limit found in this investigation is 265 K lower than that given in AEL, Vol. II. It is noteworthy that Catalán and Rico predicted a value of 95300 K for this limit on the basis of their study of the Ga I–Rb I sequence [21].

5. Levels of Even Parity

(a) 4p4ns: Except for (3P0) 8s2P½, which is calculated to fall around 94650 K, every (3P) ns level through 11s that is predicted to lie below the (3P2) limit is now known. The (3P)5s group and the two (3P2)7s levels were known before. With the exception of (3P2)8s4P5/2, assigned to the 6d configuration in AEL, all other ns levels are new. The (3P)7s 2P3/2, 1/2 levels listed in AEL are spurious.

The most important of the new (3P)ns levels are those belonging to (3P)6s. The strongest lines from these levels fall in the lead-sulfide and vacuum regions, but it has been possible to determine all the levels accurately from weaker lines observed in the photographic air region. Catalán and Rico [21], who made a graphical study of the Ga I–Rb I sequence by means of term values and the constants α and β appearing in the expression defining the quantum defect, predicted the positions of the then unknown (3P2)6s4P5/2 and (3P1)6s2P3/2 levels as 82300 K and 85649 K, respectively, which are remarkably close to their observed positions 82236 K and 85435 K. Catalán and Rico also came to the conclusion that (3P2)5s2P3/2 at 67184 K was considerably perturbed, its “unperturbed” position being 67969 K. However, the results of certain calculations, presented below, do not support such a conclusion. It seems that the differing coupling conditions in the elements of the sequence studied by Catalán and Rico are responsible for the appearance that the 67184 level was perturbed.

In both the 5s and 6s configurations the 2D term based on the (1D2) parent falls below the (3P2) limit. The term belonging to 5s is discussed below. The (1D2)6s 2D3/2 level, 94470.7 K, has been established on the basis of only one line, identified as 4p5 2P°½−(1D2)6s2D3/2, at 1101.498 Å in the vacuum ultraviolet. This line was long regarded by us as belonging to Br II, but its intensity and the fact that it establishes the (1D2)6s 2D3/2 level within just a few kaysers of its predicted position (table 11), make us believe that our identification is almost certainly correct. One then wonders whether the unclassified line at 5139 Å might not be ( 3P2)5p4P3/2°( 1D2)6s2D5/2, placing the latter level at 94460.97 K.

Table 11. Observed Br I 4p46s, 7s energy levels compared with calculations using the simplified Jcs matrices.

All energies and parameters are stated in kaysers.

Level design. Observed position Calc. Obs.-Calc. Parameters





(3P2)6s 4P5/2 82236 82199 +37
(3P2) 6s 4P3/2 82662 82658  + 4
(3P1)6s 4P1/2 85577 85601 −24 B = 82199
(3P1) 6s 2P3/2 85435 85447 −12 G1 = 190
(3P0)6s 2P1/2 86279 86342 −63
(1D2)6s 2D3/2 94471 94478  −7

(3P2)7s 4P5/2 88135 88100 +35
(3P2)7s 4P3/2 88275 88292 −17 B = 88100
(3P1)7s 4P1/2 91348 91373 −25 G1 = 78
(3P1)7s 2P3/2 91284 91278  +6
(3P0)7s 2P1/2 92090 92035 +55

The only ns configuration in which the 2S½ level based on the (1S0) parent falls below the (3P2) parent is 5s. The results of calculations presented below give ~91940 K for the position of (1S0)5s 2S½. There are three eligible levels in this vicinity that have J = 1/2, at 91691, 91824, and 91938 K. (For intensity reasons and on the basis of calculations, the level at 92090 K has been assigned to (3P0)7s 2P½.) Since the 91938 level agrees so well with the predicted position, we have interpreted this level as the (1S0)5s 2S½. The other two levels have been assigned to the (3P2)7d configuration. It is felt that this interpretation of the two lower levels also leads to the most consistent nd series. An observed g-factor for the level at 91938 K will be required in order convince us that this interpretation is correct, however.

The (3P)5s levels were all known before, but a curious circumstance led Kiess and de Bruin to adopt incorrect (1D2 1S0)5s and (1D2 1S0)5p levels. This caused some confusion in the preparation of AEL about the correct order of the (1D2) and (1S0) limits in Br II. The 5s levels in question, adjusted to our energy scale, are:

This work Ref. [1]


(1D2) 2D5/2 75890.3
(−18.2)
77330.8(+18.2)77312.675908.6]Δ=1422.2K
(1D2) 2D3/2 75908.5
(1S0)2S1/2 91938.0

It is seen that Kiess and de Bruin’s 2S1/2 level is real and corresponds to our 2D3/2. Although their 2D term is inverted with respect to ours, it has the same separation, 18.2 K. This led to a qualitatively correct interpretation of many lines in Kiess and de Bruin’s work, even though most of their (1D2)5s, 5p levels are spurious. Both levels of their (1S0)5p 2P° term are real but are actually based on the 3P parent. Since Kiess and de Bruin established the (1D2)5p levels on the basis of strong lines having the 18.2 K separation of their spurious (1D2)5s levels, all (except  2P3/2°) of their (1D2)5p levels are spurious as well, and are all (except  2P1/2°) raised above real levels by an amount corresponding to the difference Δ = 1422.2 K. The reason that this fortuitous system could have appeared so convincing—the transition array is displayed in reference [4]—is that Br I is a prime example of a spectrum in which chance numerical relationships occur among the levels and give support to gross errors in the analysis. It is through such relationships that additional errors can easily be generated; in this case they also account for some of the incorrect J-values given by Kiess and de Bruin.5

The energy levels of the Br I 4p45s configuration have been calculated by diagonalizing the second- order energy matrices built in the LS scheme. The matrices of spin-orbit interaction are obtained from those of p2s on page 268 of TAS by reversing the sign of the spin-orbit integral associated with the core, ζp The diagonal electrostatic energies to be added to the spin-orbit matrices are as follows:

 4P:F015F23G1 2P:F015F2 2D:F09F22G1 2S:F02G1

where F2= (1/25)F2(4p, 4p), G1=(1/3)G1(4p, 5s), and F0 = 6F0(4p, 4p)+4F0(4p, 5s).

In the first diagonalization we adopted the values ζ4p and F2 found above for the 4p4 configuration of parent levels. In order to compensate approximately for the discrepancy in the calculated position of the (1D2) parent, we have added an electrostatic correction term C = −150 K to the diagonal energy expression above for the 2D term, built on (1D2). A least squares fit, holding C constant, was then made to the 5s-levels other than 2D5/2,3/2, since this term is known to be perturbed. The calculation yielded G1 = 733.8. The results of the fit are given in table 8 and show that the 2D levels have apparently been pushed down by about 300 K. It is for this reason that any attempt to determine physically meaningful parameters from the diagonal-sum rule necessarily leads to failure. In fact, this method yields an imaginary value for ζ4p and a negative G1.

Table 8. Observed and calculated Br I 4p45s energy levels.

All energies and parameters are stated in kaysers.

Level desig. Observed position F2(4p,4p) = 1698.1
G1(4p,5s) =733.8
ζ4p= 2795.0
F2(4p,4p) = 1698.0
G1(4p,5s) = 748.5
ζ4p=2712.0
Calc. Obs-Calc. Calc. Obs-Calc.






(3P2) 5s 4P5/2 63436 63389 + 47 63439 −3
(3P2) 5s 4P3/2 64907 64848 + 59 64905 + 2
(3P1) 5s 4P1/2 66884 66938 −54 66888 −4
(3P1)5s 2P3/2 67184 67185 −1 67173 + 11
(3P0) 5s 2P1/2 68970 68984 −14 68977 −7
(1D2)5s 2D5/2 75890 76185 −295 76172 −282
(1D2)5s 2D3/2 75909 76239 −330 76225 −316
(1S0) 5s 2S1/2 91938 91975 −37 91938 0

In order to obtain better eigenvectors for a calculation of g-factors, we attempted to improve the parametric representation of the 5s levels by making a strict least squares fit to the levels other than 2D5/2,3/2 and by allowing all parameters (except C) to vary. The main effect on the parameters was a reduction of the value of ζ4p. The fit is shown in table 8. By means of the eigenfunction expansion coefficients (table 9) obtained in this calculation, the theoretical g-factors can be calculated. These are compared in table 10 with the observed g-factors. The g-factors for these 5s levels are derived from measurements of the Zeeman patterns we obtained by exposing to an electrodeless lamp placed in a field of about 37000 oersteds. Since our exposure times were not long for these preliminary exposures, only the stronger Br I lines were recorded. These included most of the lines in the 5s-5p transition array, however. Also averaged with our own measurements were values generously furnished us by W. F. Meggers, who had measured some Br I Zeeman patterns occurring on his ytterbium spectrograms. The final observed g-factors should be accurate to better than 0.015. The agreement between observed and calculated values is seen to be very good. The observed g-sums also agree well with the theoretical sums. It should be noticed that the LS levels 2P3/2 and 4P3/2 are thoroughly mixed.

Table 9.

Eigenvectors of the Br I 4p45s levels, calculated with F2(4p, 4p) = 1698.0, G1(4p, 5s) = 748.5, ζ4p= 2712

(1D2) 2D5/2
(3P2) 4P5/2
(1D2) 2D5/2   0.9883   0.1524
(3P2) 4P5/2 −0.1524   0.9883

(1D2) 2D3/2
(3P2) 4P3/2
(3P1) 2P3/2
(1D2) 2D3/2   0.9837   0.1581 −0.0851
(3P2) 4P3/2 −0.0585   0.7302   0.6807
(3P1) 2P3/2   0.1698 −0.6646   0.7276

(3P2) 4P1/2
(3P0) 2P1/2
(1S0) 2S1/2
(3P1) 4P1/2   0.9794   0.1561   0.1283
(3P0) 3P1/2 −0.1693   0.9805   0.0994
(1S0) 2S1/2 −0.1102 −0.1191   0.9867
The eigenvector of each level is given in the column under the adopted designation of the level. The designations on the extreme left refer to pure LS states. The elements of the eigenvectors are the expansion coefficients that occur in the corresponding eigenfunction. For example, the eigenfunction of the level called 2D5/2 is a linear combination of those for 2D5/2 and 4P5/2 and is given by
ψ(2D5/2)=0.9883ψ( 2D5/2)0.1524ψ( 4P5/2).
The 2D5/2 level thus has a purity of 97.7 percent in this approximation.

Table 10.

Observed and calculated g-factors for the Br I 4p45s levels

Level design. Energy g
Obs. Calc. Landé





K
(3P1) 4P1/2 66884 2.608 2.601 2.667
(3P0)2P1/2 68970 0.734 0.734 0.667
(1S0)2S1/2 91938 ………… (1.998) (2.000)
——— ——— ———
g-sum = 3.342 3.335 3.333





(3P2) 4P3/2 64907 1.532 1.533 1.733
(3P1) 2P3/2 67184 1.522 1.515 1.333
(1D2) 2D3/2 75909 0.826 0.819 0.800
——— ——— ———
g-sum= 3.880 3.867 3.867





(3P2) 4P5/2 63436 1.595 1.591 1.600
(1D2) 2D5/2 75890 1.210 1.209 1.200
——— ——— ———
g-sum = 2.805 2.800 2.800

It is gratifying that two effects predictable on the basis of the perturbation of the (1D2)5s 2D levels are actually observed. The first concerns the group of moderately strong lines in the region 7975 to 8035 Å. These lines all show resolved hyperfine structure and are (1D2)5s 2D–(3P2)4f transitions, which point to apparent violations of the selection rule on the orbital angular momentum of the external electron, Δl = ±1. A reasonable interpretation of these lines is that (1D2)5s 2D contains an admixture of (3P2)4d eigenfunctions. Probably each of the (1D2)5s 2D levels is mixed with both of the two possible (3P2)4d levels of the same J-value, but the 5s 2D5/2×4d 4D5/2 and 5s 2D3/2×4d 4D3/2 interactions are perhaps the stronger because of the proximity of the levels. This would explain both the Δl=3 transitions and the fact that the (1D2)5s 2D levels have apparently been pushed downward. The situation is actually more complicated than this, because the strong (1D2)5s 2D –(3P2)4f[2]° combinations are caused partly by the additional (1D2)5p 2D°× (3P2)4f[2]° interaction.

The (3P)5s levels also combine weakly with (3P)nf levels, partly because of small 54d interactions and also through the (1D2)5s 2D levels.

The other effect of the (1D2)5s × (3P2)4d interaction is a reciprocal one to the above and concerns the unexpected intensity of the (3P2)4d – (1D2)5p transitions, particularly the line at 10840 Å, resulting from the transition ( 3P2)4d4D5/2( 1D2)5p2D5/2°.

Already at 5s the separation of the level groups according to parentage is obvious. For n≧6 the dominance of ζ4p should permit the calculation and identification of the ns levels by use of simplified matrices for Jcj or Jcl coupling. Since these are identical in the two schemes for l=0, the coupling might be called Jcs coupling. The complete Jcs matrices for p4s have been given by Minnhagen [19].6

As was the case in II, the relative magnitudes of the Jcs matrix elements permit a simplification such that the p4s levels in Br I may be calculated by use of the following approximate expressions:

graphic file with name jresv67an6p505_a1bf9.jpg

where the parent symbols stand for the observed values: (3P2)=0, (3P1) = 3136, (3P0)=3838, (1D2) = 12089, and (1S0) =27867 K. LS symbols are given the Br I p4s levels in the company of Jcs energy expressions, but the Jcl correspondence can be found in table 6.

The LS eigenvectors for (3P)5s show that the J=1/2 levels are relatively pure in the LS scheme while the J=3/2 are thoroughly mixed. As might be expected, the calculation of (3P) 5s from the above Jcs expressions gives just the opposite results, i.e., the J=1/2 levels are thoroughly mixed in the Jcs scheme while the J=3/2 levels are pure. This same behavior was found by Minnhagen in II. The large electrostatic interaction of the J=1/2 levels is also present for n≥6 and reveals itself through a larger nondiagonal contribution to the energy than for the (3P) J=3/2 levels. The comparison of observed 6s and 7s levels with those calculated from the Jcs expressions is given in table 11. Since the agreement is excellent for a rather large range of G1, and since small perturbations are present at both 6s and 7s, it makes little sense to debate the exact value of G1 in this approximation. A strict least squares fit gives G1=13G1 as 172 K and 62 K for 6s and 7s, respectively. In the preparation of table 11, however, we have assumed that G1 varies approximately as (n*)−3 in accordance with theory and have taken G1(4p, 6s) = 190 K and G1(4p, 7s) =78 K, both based on the value of G1(4p, 5s) found above. The nondiagonal contributions in kaysers to the (3P)6s, 7s energies for P, 2P are as follows:

graphic file with name jresv67an6p505_a1bf10.jpg

where the upper sign is always taken with the higher level of a given J. It is seen that even at 7s a positive confirmation of the level assignments can be effected by use of diagonal expressions only.

Coupling diagrams of the type found in TAS, chapter 11, cannot be constructed for a p4s configuration because the number of parameters necessary to determine the level intervals is greater than two. However, since the splitting of Br II (3P) is small compared to the distance from (3P) to (1D2) or (1S0), the Br I (3P)ns levels can be described to a satisfactory approximation as a function of the ratio G1(4p,ns)/ζp. This is accomplished by omiting in the energy matrices the elements associated with (1D2) and (1S0). A coupling diagram showing the structure of p4(3P)ns in the transition from LS to Jcj- or Jcl-coupling has been constructed by Edlén [22, p. 132]. An equivalent diagram for the observed Br I levels is presented in figure 4 and strikingly agrees with the theoretical behavior of these levels.

Figure 4.

Figure 4

Observed levels of 4p4(3P)ns, referred to center of gravity, and plotted against (n*)−3 to show the convergence toward the Br II 4p4 3P2,1,0 limits.

Since G1 varies approximately as (n*)3 and ζp remains essentially constant along the series, we have plotted in figure 4 the ns levels, referred to the center of gravity of each group, against (n*)3. The mean values ½(4P½+2P½) and ½(4P3/2+2P3/2) are also plotted and found to give two approximately straight parallel lines, as expected. The slight irregularities are caused partly by small perturbations of the levels. The observed crossover of the 4P½ and 2P3/2 levels is in accordance with theory. It should be noticed that the plot yields an unambiguous coordination of the levels to specific levels of the (3P) limit.

From a comparative study of the plots in figures 4 and 5 one can obtain a qualitative picture of the perturbations present in the (3P)ns series, mostly caused by ns × nd interactions. The displacements of the perturbed levels are all small, being of the order of 20 to 50 K.

Figure 5.

Figure 5

Diagram showing the observed Br I ns series.

The (3P0) 6s 2P½ level seems to be about 75 K too low, but the cause is not clear, unless this displacement results from the influence of the J=½ levels in the (3P2)5d configuration that lie 1000 to 1500 K higher. The (1D2)4d2P½, 2S½ levels are probably responsible for the perturbation of (3P1)8s 4P½, which is about 50 K too high. The higher (3P2) ns series members all suffer slight perturbations owing to ns × nd interactions. While the plots in figure 5 seem to be highly irregular at the end corresponding to high n, it should be remembered that T is there relatively small, and n* is therefore quite sensitive to changes in T, as is evident from the expression

Δn*~R1/22T3/2ΔT.

(b) 4p4nd: Sorting out and interpreting the Br I nd energy levels is perhaps the most intricate problem in the analysis of this spectrum. Abundant perturbations and an intermediate type of coupling severely complicate the analysis. We have in the analysis attempted to make the best possible use of the observations. The interpretation of the Br I nd levels as presented in table 6 seems to be the most reasonable derivable from general arguments, observed line intensities, application of the Ritz formula, approximate calculations, and the like. A more detailed study of the nd configurations based on accurate calculations including interconfigurational interaction might well necessitate the revision of some of the assignments, particularly of those levels having low J-values. Reconsideration of the nd J=½ levels might even bring the interpretation of (1S0) 5s 2S½ into question, as pointed out above.

The separation of the nd levels of each configuration into groups according to the parent limits is quite apparent. The (3P1,0)4d, 5d, 6d levels all lie below the (3P2) limit and have been found. The (3P1)7d levels are predicted to fall below the (3P2) limit but are so close (~ 94900 K) to this limit that they have not been discovered. All (3P2)nd series are complete through 8d; each series thus contains five members. The (3P2)nd4F9/2 series is known through 12d. Of the nd levels based on the high (1D2) and (1S0) parents, only the (1D2)4d group falls below the (3P2) limit. All levels in this group have been identified at least tentatively.

The grouping of the nd levels according to parent suggests that the coupling of these configurations is intermediate between the Jcl and Jcj schemes. The diagonal energy expressions for p4d in these two schemes have been calculated by Möller and Källén, respectively, and can be found in the paper by Minnhagen [19]. A comparison of the Jcl expressions with the observed levels reveals that even the observed ordering of K-pairs with respect to energy is not reproduced by the diagonal Jcl expressions on the assumption that the dominant contribution to the energy is due to F2(4p, nd).

It is felt that the reason for this lies, at least in the case of 4d, in the magnitude of the G1 integral, whose effect on the energies is probably greater than that of F2, implying a large departure from Jcl coupling, which requires a small Gk contribution. The large G1 contribution probably accounts in part for the high position of the (3P2)4d[2]5/2,3/2 levels. It may be that the levels (3P2)4d[3]5/2 and [2]5/2 should have their designations interchanged. The interaction of the 4d levels having J=5/2, 3/2 with the (1D2)5s 2D5/2,3/2 levels contributes to the high position of the 4d pair just mentioned, but this effect is probably less significant than the size of the G1 integral.

The large departures from any pure coupling scheme in the nd configurations, as well as sizeable perturbations, render the assignment of designations to the levels a rather difficult problem. Both the LS and Jcl symbols assigned these levels in table 6 are based on the intensities of the 4d–nf, 5p–4d, and 5p–5d combinations. There still remain several inconsistencies; in particular the combining properties of some levels vary irregularly along a series. Only a very detailed consideration of perturbations, together with accurate calculations, can aid in the solution of this problem. Even a cursory examination of the effective quantum numbers of the nd levels reveals marked irregularities along series. Apart from small interaction with some ns levels, the perturbations are primarily a result of the overlapping or proximity of groups of levels with different n and based on different parents. The most striking case of this is the (3P1)5 (3P2)6d interaction, which causes the (3P1)5d group of levels to be slightly higher than expected. It is very possible that the (3P2)6d 4F7/2 and (3P1)5d 2F7/2 levels should have their designations interchanged. A (3P1)6 (3P2)9d interaction has apparently pushed the (3P1)6d group down. The separation of these latter groups is difficult, however, and the assignments should be regarded as tentative. Their further interaction with the slightly higher (1D2)4d levels is also probable.

The (1D2)4d 2G9/2,7/2 levels have been established with certainty (see table 6). The other seven levels of the (1D2)4d group have received their designations primarily on the basis of their position being such that they do not fit well into any (3P) groups. (Furthermore, we had just seven levels left over after unraveling the (3P)nd levels.) The order of the (1D2)4d levels bears a striking resemblance to the corresponding group in Kr II, but is in sharp disagreement with the Jcl diagonal expressions (assuming dominant F2), which predict the J =½ levels to be the lowest.

The most important nd series showing any degree of regularity is the (3P2)nd 4F9/2 series, for which (2 – δ) is plotted against T in figure 6. The nonlinearity of this plot is interpreted not as a failure to have the correct ionization potential, but as the effect of a gradual change in coupling along the series. The members from 9d through 12d are almost exactly linear. A change in the assumed ionization potential would cause the line connecting these levels to curve up or down. A least squares calculation of the Ritz constants α and β from these levels gives α = 1.35276, β = − 3.442 × 10−6, from which the entire series has been calculated. The results, given in table 12, reveal not only by how much the early series members lie too high because of the different coupling conditions, but also by how much the 7d and 8d levels have been pushed down and up, respectively, by the (1D2)4d 2G9/2 level between them.

Figure 6. Diagram showing the very regular (3P2)nd 4F9/2 series.

Figure 6

The (1D2)4d 2G9/2 level was found from its influence on the 7d member of this series.

Table 12. Observed energy levels of the 4p4(3P2)nd 4F9/2 series compared with calculations using the Ritz formula, as described in the text.

All energies are stated in kaysers.

α=1.35276

β= −3.442×10−6

Config. Observed Calculated Obs.-calc.




4d 80587.61 80221.57 + 366.04
5d 87191.97 87160.44 + 31.53
6d 90244.89 90241.40 + 3.49
7d 91851.14 91858.17 −7.03

4p4(1D2)4d 2G9/2 = 91921.86

8d 92807.81 92807.63 + 0.18
9d 93411.48 93411.49 −0.01
10d   93818.96 93818.95 + 0.01
11d   94106.70 94106.70 0.00
12d   94317.40 94317.40 0.00

These slight deviations of the points representing (3P2)7d, 8d 4F9/2 indicate with certainty the presence of the nearby perturbing level, which can be only (1D2)4d 2G9/2. Until this perturbation was recognized, the only strong Br I lines still remaining unclassified were those at 6096 and 6133 A. That the line at 6096 Å results from the transition ( 3P2)5p4D7/2°( 1D2)4d2G9/2 is unquestionably correct, because (i) it fortunately happens to be one of the two unclassified lines whose hfs were reported by Tolansky and Trivedi [7], its observed structure fitting fairly well the splitting of ( 3P2)5p4D7/2° derived from other lines, and (ii) it yields a value 91922 K for (1D2)4d 2G9/2, which is the proper position to account for the perturbation of the nd 4F9/2 series.

The other line, at 6133 A, is interpreted as the transition ( 3P2)5p4D5/2°(1D2)4d2G7/2. One additional line has been observed in the radiometric region for each of the 2G levels. These are combinations with (1D2)5p2F7/2,5/2° and serve as further evidence for the reality of the 2G levels.

(c) 4s4p6: The 4s4p6 configuration yields only one level, 2S½. Bromine is the only halogen for which this level has been found with certainty. A calculation based upon the irregular-doublet law predicts the 2S½ term to lie near 87000 K. Of the nine even levels with J = 1/2 that were found in the range 80000 – 90000 K, only eight can arise from configurations other than 4s4p6. These can all be unambiguously identified on the basis of position and intensity considerations. The remaining level, at 84825.60 K, must be 4s4p6 2S½. This identification explains the high intensity of the ultraviolet lines at 1232 Å, resulting from the transition 4s24p5  2P½°84825, and at 1179 Å, 4s24p5  2P3/2°84825: the ground 2P° term is the only known term to which the 4s4p6 2S½ can make transitions in a one-electron jump.

In addition to the ultraviolet lines and a faint, wide line at 12369 A, the only other lines from 2S½ that have been observed are two moderately strong doublets at 10184 Å and 11094 Å. The doublet character of each of these lines is assumed to result from the wide hfs splitting of 2S½, which is expected, since the unpaired 4s electron in the 4s4p6 configuration should couple strongly with the nucleus. The classifications of these lines are as follows:

10184Å5p4P3/2°sp62S1211094Å5p4P1/2°sp62S12

The components of 11094 Å appear single with our resolution but there is slight shading in the two components of 10184 Å. This results from the hfs splitting of 5p  4P3/2°, which according to Tolansky and Trivedi has a structure (0.127, 0.086, 0.043) in K. To get an estimate of the splitting of the 2S½ level, we note that the separations of the components of 10184 Å and 11094 Å are 0.45 and 0.59 K, respectively. The large difference between these two values might at first seem disturbing. But a simple sketch of the appropriate transitions, taking into account the known hyperfine structure of  4P3/2° (four F-levels) and adopting any reasonable value for the unknown structure of  4P½° (two F-levels), reveals that one would expect the components of 10184 Å to be about 0.1 K closer together than the components of 11094 A. Furthermore, it is apparent from such a sketch that the measured separation of the centers of gravity of the 11094 Å components very nearly represents the true hfs splitting of the 2S½. We therefore adopt 0.59 K as the splitting of the 2S½ level.

A calculation of the theoretical structure of this level is revealing. Following Slater [23], we can write the expectation value of the nuclear interaction contribution to the total Hamiltonian as

H=α23gNR2(0)Krydbergs.

(This formula holds only for configurations containing a single unpaired s-electron.) 7 Here α is the fine structure constant (1/137), gN is the weighted average bromine nuclear g-factor (= 7.93×10−4), R(0) is the value of the normalized s-eigenfunction at the origin, and

K=F(F+1)I(I+1)J(J+1).

Since J=1/2 and the nuclear spin I = 3/2, the energy separation of the two F-levels will be

ΔE=4α23gNR2(0) rydbergs.

We have calculated R(0) from recently published [24] Hartree-Fock radial wave functions for the bromine 4s24p5 configuration. The 4s-orbital of this configuration will not be very different from that of the 4s4p6 configuration. We find R(0) = 15.6. Inserting numerical values in the above equation, we finally obtain

E=1.37×105rydbergs=1.50kaysers.

(A relativity correction would increase this value by about 14%.) The above result is to be compared with the observed value 0.59 K. Some of the discrepancy between these values must arise from configuration interaction. Such an interaction is undoubtedly present, because the two lines under discussion are examples of so-called two-electron jumps. The occurrence of these lines at all indicates that the sp6 configuration is mixed with a configuration that would make the transition in a one-electron jump. The interaction involved here is probably with one of the J=1/2 levels of the 4d configuration, possibly 4d 4P1/2. One would expect the level with which the sp6 2S1/2 is mixed to share some of the latter’s hyperfine structure. Each of the 4d levels with J = 1/2 was checked for hfs, but none could definitely be established from our observations.

6. Levels of Odd Parity

(a) 4p4np: The analysis of the system of odd levels of Br I was enormously simplified by the occurrence of almost pure Jcl-coupling in the nf configurations. Upon the identification of a few of the nf levels, the rest could easily be calculated and identified. We could then safely regard all odd levels left over as belonging to excited up configurations.

With the exception of the (3P1)8p group, which is predicted to center around 94675 K, all np levels for n=5, 6, 7, 8, 9 that fall below the (3P2) limit have been found. Two levels belonging to (3P2)10p have been identified also. Of the levels based on the (1D2, 1S0) parents, only the (1D2)5p levels are below the (3P2) limit. As in the ns and nd configurations, the np levels fall into groups that reflect the structure of the Br II p4 parents. The coupling of the higher np configurations is between the Jcl and Jcj schemes, but apparently closer to Jcl. Happily, configuration interaction of the np set of levels with the nf set is extremely small. The very different coupling exhibited by these two sets of odd levels may partly account for this minimal interaction.

The matrices of spin-orbit interaction for a p4p configuration have been calculated in an LS basis and are presented in the following paper in this issue of the Journal of Research. A study of the Br I np configurations by means of these matrices has not yet been completed. The results of the calculations will appear later, together with the results of Zeeman observations in progress.

It may be mentioned that the electrostatic [18] and spin-orbit [19] elements of the p4l matrices for pair-coupling have just been published, as well as the p4l matrices for Jcj-coupling [19], calculated by Källén. The assignment of K-values to the Br I np levels is based on intensities and approximate calculations with the Jcl diagonal energy expressions given in reference [19]. The LS symbols are based on the intensities of 5p—5s, 6s, 4d transitions.

The Br I 5p configuration is rather isolated and except for a few small interactions is regarded as a pure configuration. It should therefore be possible to represent quite accurately in parametric form the distribution of the 5p levels. It was for this reason, in fact, that the p4p matrices in intermediate coupling were calculated. Since the (1S0) 5p 2P° term is above the (3P2) limit and has not been observed, it is not possible to use the diagonal sum rule in the calculation of the parameters. The parameters may, however, be estimated in a variety of ways based on diagonal energy expressions in the several coupling schemes for levels of high J-value, on approximately calculated positions for (1S0) 5p 2P°, and on level differences. The approximate parameters found in this way can be inserted in the energy matrices and improved by iteration.

The most interesting interaction occurring with the 5p configuration is perhaps the ( 1D2)5p2D5/2,3/2°×( 3P2)4f[2]5/2,3/2° interaction. The (3P1)6p2D° term lies somewhat higher but may also be involved. Accurate calculations given below show that the two 4f levels have been pushed down by 13 K and 21 K for J=5/2 and J=3/2, respectively. This partly accounts for the surprisingly strong intensity of (1D2)5s 2D −(3P2)4f[2]° transitions, as pointed out above.

The ( 3P2)5p4D3/2°=[1]3/2° level seems to lie abnormally high, judging from the diagonal Jcl energy expressions. This same behavior was noticed in the case of I I by Minnhagen [19], who calculated the 11 6p levels by use of the F2(5p, 6p) parameter only. It was suggested that configuration interaction might be responsible for the high position of the level in question. As evidence for such an interaction, Minnhagen cited the fact that the intensity of the I I line classified as ( 3P2)6s[2]5/2( 3P2)6p[1]3/2°(=8044 Å) is much stronger than that of the line ( 3P2)6s[2]5/2( 3P2)6p[3]7/2°(=9058Å) whereas the latter line should be stronger for all unperturbed couplings. The only J=3/2 level below I I (3P2)6p is the ground level 5p5  2P3/2°, which renders perturbation difficult to accept. It seems reasonable that the intensity ratio of I I lines just mentioned is, rather, a result of the fact that 8044 Å falls at the wavelength of peak sensitivity of EK–“N” photographic plates, while 9058 Å was undoubtedly photographed on “Q” or Z plates, which are less sensitive than “N” plates by about a factor of 10. In Br I, the corresponding fines both occur in the “N” region, and the relative intensities are in the expected order. It is felt that the high position of the level in question, both in I I and Br I, is to be explained by the magnitude of the G0 (np, n'p) integral, which contributes sizeably to the Br I 5p and 1 I 6p energies and should not be neglected. The Jcl p4p diagonal energy expressions for (3P2)np [2]°, [1]° are, except for an additive constant:

[2]5/2°750F2+18600G2+16ζnp[2]3/2°750F2+4524G0+153600G214ζnp[1]3/2°+750F2+524G0+17600G214ζnp[1]1/2°+750F2+2024G0+50600G2+12ζnp

where all integrals refer to the (np, n'p) interaction. Approximate Br I 5p parameters, derived as described above, indicate that the effect of G0 on [2]3/2° brings its diagonal energy very close to that of [1]3/2°. Since the two levels are connected by G0, G2, and ζnp, they repel each other in such a way, neglecting the action of the other levels in the configuration, as to make [1]3/2° appear high and the K=2 levels appear as a closer pair. The [1]1/2° level is pushed down by all 5p J=1/2 levels above it. This same type of effect is probably operating also in the case of the high Br I (3P2)4d[2] pair, as mentioned previously.

A qualitative picture of the run of Br I np levels and perturbations can be obtained from figure 7, in which the quantum defect is plotted against absolute level value. The points representing the (3P2)np 4D7/2 series are very nearly linear for n=6, 7, 9, 10. The slight depression at n= 8 is due to the interaction with ( 3P1)4f[3]7/2°. An application of the Ritz formula with α = 2.57410, β= +3.190×10−6 derived by least squares from (3P2) 7, 9, 10p 4D7/2°, reproduces these levels almost exactly and shows that the level at 8p is depressed by about 2.6 K, its “unperturbed” position being 91540.9 K. The same Ritz formula predicts (3P2)5p 4D7/2° to fall 114 K higher than observed, the departure being a result of the regular coupling change along the series.

Figure 7.

Figure 7

The (3P)np series: (3 — δ) plotted against T.

The great deviation from linearity exhibited in figure 7 by the early members of the (3P2)np  4D3/2°,  4P1/2° and (3P0)np  2P3/2,1/2° series is probably not entirely due to perturbations, since the plots of mean term energies for each J-value are much more regular. However, the possibility of a configuration interaction affecting these levels in such a way as approximately to cancel out in the means should not be overlooked. It seems fairly certain that there is a (3P0) 6p × (3P2) 7p interaction, and the (3P2)6p  4D3/2°,  4P1/2° levels may be influenced by (1D2)5p  2P3/2,1/2°. The (3P2)7p, 8p,  4P3/2° levels seem to have been pushed down and up, respectively, through interaction with (3P0)6p  2P3/2°, which lies between them.

The most obvious wholesale mutual interactions in the np configurations affect the close (3P1)7p and (3P2)9p groups, the levels of the first group being higher than expected and those of the second group (except 9p  4D7/2°) lower.

(b) 4p4nf: All the 67 levels ascribed to nf configurations in table 5 are new. The pronounced Jcl coupling prevailing in these configurations permits the levels to be calculated very exactly by the theoretical expressions of electrostatic energy given by Moller [18]. The Jcl designations of the levels as presented in table 5 are therefore, with one or two exceptions discussed below, definite. The pair structure of these levels is very marked, as can be seen by examining the pair splittings in table 5. All nf levels based on limits other than (3P2) and predicted to lie below the (3P2) limit have been found. These are the 16 levels of the (3P1,0)4f, 5f groups. All (1D>2, 1S0)nf levels lie above the (3P2) limit.

Most of the observed transitions involving the Br I nf levels occur in the (3P2)4d−(3P)nf arrays. As mentioned above, 5s–nf transitions are also observed, primarily as a result of a 5s×4d interaction, but nearly all other lines involving nf levels would be difficult to observe since they fall in a very unfavorable region of the spectrum, the far infrared and radiometric regions. The (3P2)4d—(3P2)nf arrays are similar for each value of n as regards the intensity relationships of the various lines in the array, but the intensity of any particular transition decreases as a rule with increasing n. In general, for transitions between two pair-coupled configurations the lines will be stronger when l, K, and J change by unity in the same direction, or, with a given Δl(= ± 1), when ΔJK(= ± 1, 0). As usual, also, the stronger lines involve the higher J-values. The representative (3P2)4d−(3P2)5f array is shown in table 13.

Table 13.

Wavenumbers and intensities of the observed (3P2)4d—(3P2)5f transitions in Br I

4d
[4]
4F9/2
80587.61
[4]
4F7/2
81081.10
[3]
4D7/2
79044.50
[3]
4D5/2
79260.91
[2]
4F5/2
81672.28
[2]
4F3/2
81842.02
[1]
4D3/2
79630.67
[1]
4D1/2
80026.40
[0]
4P1/2
81429.97
5f
[511/2 (600)
90873.70 10286.09
[59/2 (300)
90873.78 9792.68

[49/2 (100) (500)
90845.55 10257.95 11801.03
[47/2 (75) (100) (200) (200)
90846.78 9765.68 11802.27 11585.86 9174.50

[3]7/2,5/2° (15) (15) (300) (100) (250) (20) (300)
90851.30 10263.69 9770.21 11806.78 11590.39 9179.02 9009.31 11220.60

[2]5/2° (75) (250) (100) (40) (20)
90869.64 11825.12 11608.72 9197.37 9027.62 11238.92
[2]3/2° (75) (150) (200)
90868.76 11607.87 11238.09 10842.35

[1]3/2° (50) (2 w) (10) (90) (80w) (250)
90891.56 11630.57 9219.28 9049.58 11260.85 10865.15 9461.59
[1]1/2° (90) (80) (100)
90890.88 11260.20 10864.48 9460.95

In this table, the adopted K-values of the (3P2)4d levels are found together with the corresponding LS designations. The only rigorous selection rule here seems to be that on J. It will be noticed, however, that three transitions from 5f in this table that would be allowed by the selection rule on J, but not by the selection rule on K in pure Jcl coupling have not been observed. The same is true in the case of these three transitions for other nf, except that ( 3P2)4d[3]7/2( 3P2)4f[5]9/2° occurs weakly, owing to the “mixing” of the two (3P2)4d levels having J=7/2. On the other hand, for the 5f case in table 13 as well as for other nf, there appear strongly two lines that do “violate” the ΔK=0, ±1 rule. These are the ( 3P2)4d4D3/2( 3P2)nf[3]5/2° and ( 3P2)4d4F5/2( 3P2)nf[4]7/2° transitions. For no value of n have the two ( 3P2)4d4F5/2,3/2( 3P2)nf[2]3/2° lines been observed. The perturbations that affect the (3P2)4d levels having J=5/2, 3/2 and the difficulty at present of appraising the quantum significance of the K-values assigned these levels, as mentioned in another section, render premature any detailed correlation of intensity characteristics in the arrays under discussion.

The several perturbations that afflict the (3P2)nf series are vividly revealed by a plot of quantum defects against relative term values for these series (fig. 8). In examining this figure, one should bear in mind that the ordinate scale is greatly expanded, and the irregularities in the plots are caused by level perturbations of only a few kaysers and less. An idea of the vertical scale in kaysers can be gained for each value of n by noting the separation of the various pairs. For example, at n=7, the vertical separation between 7f[4]9/2° and 7f[4]7/2° corresponds to only 0.57 K, an amount that is probably greater than that by which either level is perturbed. The perturbations in the Br I nf configurations are most conveniently discussed in terms of the Jcl nondiagonal matrix components. We shall therefore consider first the energy matrices and the theoretical calculation of the nf energy level distribution.

Figure 8.

Figure 8

The (3P2)nf series plotted on a very expanded (1−δ) scale to exhibit small perturbations.

The matrices of electrostatic energy are diagonal in J. The diagonal elements of the matrices for p4f have the form E=E(parent level)2F02f¯2F2+2g¯2G2+2g¯4G4, where f¯2, g¯2, g¯4 are numerical coefficients whose values can be found in Moller’s paper, and F2, G2, G4 are the familiar integrals defined in TAS. Levels of a given K-pair have a common f¯2 coefficient; the pair splitting with respect to J arises from different g¯2 and g¯4 coefficients. Small pair splittings, therefore, imply small G2 and G4 integrals. In the Br I nf configurations, the contribution to the level energies by the F2 integral is much greater than that by the G2 and G4 integrals. Nondiagonal F2 is found only between levels with equal K-value and based on the different parents, 4S01D2, 3P03P2, and 3P13P2. Also appearing off the diagonal are G2 and G4, connecting levels whose K-values are equal or are different by ±1. In order that K be a good quantum number, it is thus essential that G2 and G4 be small compared with F2.

In the actual calculation of the nf level distribution, it is convenient and suitable to make certain approximations. All (1S0,1D2)nf levels fall above the principal ionization limit and none was observed. But since these levels are distant and are connected to the levels based on (3P) only through nondiagonal G2 and G4 (and ζ4p), the effect of omitting these levels from the energy matrices will cause negligible error in the calculated (3P)nf energies. Furthermore, greater accuracy in the calculated distribution of these (3P)nf levels (18 levels for each n) can be expected if we employ the observed positions of the Br II (3P) levels rather than adopting the parametric form for these parents. We thus replace the term E (parent level) — 2F0 in the above diagonal expression by the quantities: B, B+3136.4, and B+ 3837.5, for levels based on (3P2), (3P1), and (3P0), respectively, where B is a constant for any given n. This procedure automatically accounts for nondiagonal ζ4p, which may then be disregarded.

We thus have 18 levels for each n to be represented in parametric form by four parameters, B, F2, G2, and G4. The determination of meaningful parameters cannot be accomplished by a simple application of the diagonal sum rule, because every observed Br I nf level, with the exception of members of the (3F2)nf[5]° series, suffers interaction with other configurations. The extent of this interaction can be reasonably well estimated only in the case of the ( 3P2)nf[4]9/2° levels, because almost the entire interconfigurational contribution to these must come from ( 3P1)nf[4]9/2° levels, there being no possibility of a J= 9/2 in the np configurations. After G4 has been estimated as described below, F2 can be found from the (3P2)nf[5]11/2°[4]9/2°=16F2136G4 diagonal interval, provided the nondiagonal intraconfigurational contribution to [4]9/2°, as well as the interconfigurational contribution, have first been removed from the energies as observed. The first of these contributions can be determined by performing a preliminary diagonalization of the J = 9/2 matrix with a good estimate of F2. The second contribution can be obtained if a reasonable “unperturbed” ( 3P2)nf[4]9/2° series can be deduced. If an interaction parameter (see ref. [22], p. 141) γ = 23 K is assumed between the ( 3P2)nf[4]9/2° and ( 3P1)nf[4]9/2° series, the former series becomes satisfactorily Kitzian, and after an additional “smoothing” of the series, unperturbed level energies can be estimated to sufficient accuracy, and then F2 can be derived.

Since nondiagonal contribution to the (3P2)nf[5]° pair is negligible, the G4 parameter can be obtained directly from the observed separation of this pair, whose diagonal energy expressions, including the spin-orbit interaction energy of the f-electron, are

[5]11/2°:B+115F2+32ζf[5]9/2°:B+115F2+1154G495ζf.

The fact that for n≧5, the [5]9/2° falls higher than [5]11/2° confirms the dominance of 1154G4 over 3310ζf and partially justifies the omission of ζf in our calculations. The G4 parameter for 4f has been extrapolated from those for higher n, since the observed coincidence of the 4f pair, suggesting an equality of 1154G4 and 3310ζf does not permit a direct calculation of G4.

If the ( 3P2)nf[1]° levels were unperturbed, G2 could be calculated fairly accurately from the pair splitting, 950G2. Even though this series as plotted in figure 8 appears Ritzian, there is some evidence that the series members have all been perturbed upwards in such a way that linearity of the plot was preserved. Nevertheless, G2 was crudely taken as given by the pair splittings for n≧5 and extrapolated for n =4, since any other procedure meets with equivalent uncertainty. The remaining parameter, B, was adjusted so as to predict the ( 3P2)nf[5]11/2° levels exactly.

The levels as calculated by use of the parameters found above are compared with the observed positions in table 14 for 4f, 5f and in table 15 for 6f, 7f. The B and F2 parameters are given in table 16, along with the almost constant products F2×n3. The agreement between observed and calculated energies is seen to be very good, and it is probably significant that the departures in almost every case agree with the direction of perturbation one might expect on the basis of the plots in figure 8. The calculations predict the observed ordering of K-pairs with respect to energy for all except the perturbed (3P2)4f[3]° and (3P1)4f[3]° pairs.

Table 14.

Comparison between observed and calculated (3P) 4f and 5f levels

Level design. 4f
5f
Calc. Obs. Calc. Obs.





(3P2) [5]11/2° 88392.2 88392.2 90873.7 90873.7
[5]9/2° 392.3 392.2 873.8 873.8
[4]9/2° 339.3 339.2 846.4 845.6
[4]7/2° 340.4 340.7 847.3 846.8
[3]7/2° 347.9 351.1 851.1 } 851.3
[3]5/2° 348.5 350.8 851.5
[2]5/2° 383.6 371.3 869.7 869.6
[2]3/2° 383.4 364.0 869.5 868.8
[1]3/2° 422.3 425.5 889.6 891.6
[1]1/2° 421.5 424.9 888.9 890.9
(3P1) [4]9/2° 91497.7 91496.2 93994.0 93994.0
[4]7/2° 498.4 497.1 994.5 994.7
[3]7/2° 539.3 545.7 94015.6 94017.8
[3]5/2° 539.9 542.4 016.1 018.2
[2]5/2° 484.4 483.0 93987.3 93998.4
[2]3/2° 483.7 482.3 986.7 987.6
(3P0) [3]7/2° 92209.5 92228.3 94700.7 94700.2
[3]5/2° 209.9 228.6 701.0 700.4

Table 15.

Comparison between observed and calculated (3P2) 6f and 7f levels

Level design. 6f
7f
Calc. Obs. Calc. Obs.





(3P2) [5]11/2° 92222.7 92222.7 93036.1 93036.1
[5]9/2° 222.8 222.8 036.1 036.1
[4]9/2° 206.9 207.3 026.1 026.1
[4]7/2° 207.4 208.3 026.4 026.7
[3]7/2° 209.6 } 187.9 027.8 } 028.4
[3]5/2° 209.9 028.0
[2]5/2° 220.5 222.0 034.7 035.4
[2]3/2° 220.4 221.6 034.6 035.0
[1]3/2° 232.0 233.1 041.9 042.6
[1]1/2° 231.6 232.7 041.7 042.4

Table 16.

The B and F2 parameters for 4f, 5f, 6f, and 7f configurations, calculated as explained in the text

Conf. B F2 F2× n3




4f 88371.24 314.1   201×102
5f 90862.84 162.9 204
6f 92216.42   94.8 205
7f 93032.09   59.9 205

The perturbations of the Br I nf levels arise from nf×np as well as nf×n'f interactions. Considering first the latter type, we remember that since the coefficients of the Slater integrals in the nf energy matrices are based entirely upon the angular parts of the eigenfunctions, these same coefficients are valid in the discussion of nf×n′f interaction. Since this interaction is expected to be greater if a nondiagonal f¯2 is involved, we should expect that the strongest interactions would be of the types (3P1)nf[K]°× (3P2)nf[K′]°, where K=K′=2, 3, or 4, and (3P0)nf[3]°× (3P2)nf[3]°. Indeed, the plots in figure 8 show quite clearly that (3P1)4f falls just between (3P2)5f and 6f and pushes (3P2)4f,5f levels down and. (3P2)6f,7f … levels up, for K= 2, 3, 4. Also, the (3P0)4f[3]°×(3P2)6f[3]° interaction is, comparatively, very strong, owing to their almost identical unperturbed positions, as indicated by the calculations. It is possible that the designations of these levels should be interchanged. The points corresponding to (3P2)6f[3]° fall outside the range of figure 8 and have been omitted. Another striking feature of this figure is that it suggests, correctly, that ( 3P1)5f[4]9/2° falls between ( 3P2)9f,10f[4]9/2°.

Superposed on the above interactions are those of the type nf×np, which also seem to be stronger if the interacting levels have the same K-value.

The (1D2)5p group appears to interact with nf levels having the appropriate K- and J-values, the largest such interaction being ( 1D2)5p2D5/2, 3/2×( 3P2)4f[2]5/2,3/2°, owing to the proximity of the levels. The several interactions affecting (3P2)nf[3]° pairs make the levels for n5 coincide within the experimental error. Since it is not possible to decide with certainty from which level of the pair a particular line arises, when that line is classifiable by either of the levels, the two levels are represented by a single energy in table 5.

The calculations suggest that the observed (3P2) nf[1]° pair is uniformly high. Since a K= 1 is not possible from the (3P1) and (3P0) parents, we should expect the observed [1]° series to be almost Ritzian in the absence of interaction with np levels. Now the series is almost Ritzian, so that if the series is perturbed, it must be of a complicated sort, involving several np levels, since a single interaction with ( 1D2)5p2P3/2°,1/2 would not account for the preservation of the rather strict linearity found in figure 8.

The ( 3P2)8p4D7/2°×( 3P1)4f[3]7/2° interaction, complicated by additional influences on these levels, should also be mentioned, since it is possible that the two designations should be interchanged. It is not entirely clear what causes the (3P1)4f,5f[3]° levels to be observed so “much” higher than their calculated positions.

7. Conclusion

Since the Br I line list has now been essentially exhausted—only 26 of 1253 lines remain unclassified—it is clear that any significant additions to the analysis of Br I will demand a thorough, new observation of the spectrum, made with a much stronger source for reasonable exposure times in the red, and one that produces Br2 emission of much less intensity than the source used in this investigation. Even without making accurate calculations, one can predict very closely, barring strong interactions, the positions of the remaining unknown ns, np, nd, and nf levels that fall below the principal ionization limit. This can be done almost by inspection of tables 5 and 6. One can, then, make educated guesses as to the wavelength region where the stronger lines involving the unknown levels will lie. Of course many of the new lines that would be included in any augmented line list would be accounted for by transitions predicted in the present square array, and might help us in a possible revision of the more insecure level designations mentioned above. A study of the Zeeman effect in Br I is possibly the only and certainly the best method of resolving a few difficulties of interpretation, such as that of the J= 1/2 levels lying in the vicinity of (1S0)5s2S1/2 as discussed above.

Perhaps the most demanding study that could be initiated on Br I is an extensive analysis of the nd configurations and their coupling and perturbations. If some of the levels still missing from the (3P2)9d-1 1d configurations could be found, a more definite decision could possibly be reached as to whether some levels presently assigned to (3P1)6d might not more properly belong to (3P2)9d.

Of the 26 lines in our list that have defied classification, one has intensity 50, one intensity 15 w, and the rest have intensities 10 and less. It is probable that as many as one-half of these lines actually do not arise from neutral atomic bromine. For example, since the six unclassified lines of wavelengths less than 4100 A would have to result from transitions to the even (3P)5s levels in order for the upper levels to lie below the (3P2) limit, and since no new odd levels predictable on this basis fall in acceptable positions, it is doubtful that these six lines belong to Br I.

There seems to be little hope of finding any Br I levels above the (3P2) limit unless autoionization from these levels is somehow avoided. Although we have predicted and looked in our list for many lines that we thought most likely to appear from such levels, none could be established definitely.

The unknown ng levels falling below the (3P2) limit are predicted to lie in the range 90890 to 95285. Their stronger combinations will generally be with nf levels. Since these latter levels are in the range 88300 to 95285 K combinations with ng will produce lines that fall in the infrared beyond the region accessible by photography.

Acknowledgments

For suggesting this problem and offering advice throughout, I thank C. C. Kiess. His interest in the bromine spectrum has lasted over 30 years, and his excitement and enthusiasm as he watched our analysis progress was a constant source of encouragement.

I also express my indebtedness to C. Moore- Sitterly and W. F. Meggers for generously allowing me to draw so persistently upon their great experience and knowledge of atomic spectra.

R. E. Trees examined and improved upon the discussion of the sp6 configuration. W. R. Bozman frequently advised and instructed me in the various computations by the electronic computer and also took charge of the preparation of prints for the figures in this paper. W. C. Martin critically read the manuscript and offered many useful suggestions. Mrs. Ruth Peterson patiently and accurately carried out some of the final hand calculations, and Mrs. Sylvia Shure carefully typed the manuscript. It is a pleasure to thank each of these colleagues for his or her contribution to this paper.

Finally, and especially, I want to record my gratitude to C. H. Corliss, who provided advisory and, more often, active assistance in all phases of the experimental work that followed our earlier collaboration in obtaining the first series of wavelength observations.

9. Appendix

Table A1.

Wavelengths of Br I in the vacuum ultraviolet

Observed wave-length Calc. In wave-length Intensity Observed wave number Classification





Å K
1067.559 0.556 10 93671.6 4p5  2P3/2° (1D2)4d 2F5/2
1067.805 .802 15 93650.1 4p5  2P3/2° (1D2)4d 2P1/2
1068.256 .263 10 93610.5 4p5  2P3/2° (1D2)4d 2P3/2
1068.849 .856 3 93558.6 4p5  2P3/2° 11s 4P3/2
1073.912 .916 70 93117.5 4p5  2P3/2° 6d2P3/2
1074.243 .245 70 93088.8 4p5  2P3/2° (1D2) 4d 2D5/2
1074.803 .815 10 93040.3 4p5  2P3/2° 10s 4P3/2
1075.345 {.317.354 15 92993.4 {4p52P3/2°10s4P5/24p52P3/2°6d2P1/2
1070.964 .964 20 92853.6 4p5  2P3/2° 8d 4F3/2
1077.873 .878 15 92775.3 4p5  2P3/2° 8d 4D3/2
1078.124 .124 15 92753.7 4p5  2P3/2° 8d 4D5/2
1078.242 .247 30 92743.6 4p5  2P3/2° 8d 4F5/2
1079.320 .326 30 92650.9 4p5  2P3/2° 8d 4D1/2
1080.882 .883 50 92517.0 4p5  2P3/2° (1D2) 4d 2D3/2
1084.810 .807 10 92182.0 4p5  2P3/2° 9s 4P3/2
1085.050 .052 15 92161.6 4p5  2P3/2° 9s 4P5/2
1085.896 .899 5 92089.8 4p5  2P3/2° 7s2P1/2
1087.468 .470 30 91956.7 4p5  2P3/2° 7d 4F5/2
1087.687 .690 40 91938.2 4p5  2P3/2° (1S0) 5s 2S1/2
1087.819 .821 20 91927.1 4p5  2P3/2° 7d 4F3/2
1089.039 .040 30 91824.1 4p5  2P3/2° 7d 4P1/2
1089.203 .203 15 91810.2 4p5  2P3/2° 7d 4D5/2
1089.322 .323 20 91800.2 4p5  2P3/2° 7d 4D3/2
1090.623 .620 85 91690.7 4p5  2P3/2° 7d 4D1/2
1094.722 .719 100 91347.4 4p5  2P3/2° 7s4P1/2
1095.481 .482 100 91284.1 4p5  2P3/2° 7s2P3/2
1096.788 .790 100 91175.3 4p5  2P3/2° 5d2D5/2
1098.881 .885 100 91001.7 4p5  2P3/2° 5d2D3/2
1101.347 .351 50 907979 4p5  2P3/2° 8s 4P3/2
a1101.456 ……… ……… 90788.9 4p5  2P3/2° 8s 4P5/2
1101.498 ……… 250 90785.5 4p5  2P1/2° (1D2) 6s 2D3/2
1103.924 .932 60 90585.9 4p5  2P3/2° 5d4P5/2
1104.168 .169 60 90565.9 4p5  2P3/2° 5d2F5/2
1105.460 .464 50 90460.1 4p5  2P3/2° 5d2P3/2
1105.844 .846 50 90428.7 4p5  2P3/2° 6d 4P1/2
1105.994 .994 70 90416.4 4p5  2P3/2° 6d 4F3/2
1107.442 .445 50 90298.2 4p5  2P1/2° 8s4P1/2
1107.512 .514 50 90292.5 4p5  2P3/2° 5d2P1/2
1109.422 .432 20 90137.0 4p5  2P1/2° 10d 4D3/2
1110.904 .911 100 90016.8 4p5  2P1/2° (1D2) 4d 4S1/2
b1111.579 .542 50 89962.1 4p5  2P1/2° (1D2) 4d 2P1/2
1111.751 .754 40 89948.2 4p5  2P3/2° 6d 4D5/2
1112.743 .747 20 89868.0 4p5  2P3/2° 6d 4D3/2
1115.448 .448 30 89650.1 4p5  2P1/2° 9d 4D3/2
1116.105 .105 40 89597.3 4p5  2P1/2° 9d 4D1/2
1118.173 .169 90 89431.6 4p5  2P1/2° 6d2P3/2
1119.140 .143 60 89354.3 4p5  2P1/2° 10s 4P3/2
1119.725 .728 90 89307.6 4p5  2P1/2° 6d′ 2P1/2
1121.473 .474 120 89168.4 4p5  2P1/2° 8d 4F3/2
1121.839 .842 80 89139.4 4p5  2P1/2° 8d 4P1/2
1124.038 .035 120 88965.0 4p5  2P1/2° 8d 4D1/2
1125.728 .725 200 88831.4 4p5  2P1/2° (1D2) 4d 2D3/2
1129.979 .981 35 88497.2 4p5  2P1/2° 9s 4P3/2
1131.171 .166 80 88404.0 4p5  2P1/2° 7s2P1/2
1132.822 .817 100 88275.1 4p5  2P3/2° 7s 4P3/2
1133.116 0.110 200 88252.2 4p5  2P1/2° (1S0) 5s 2S1/2
1133.251 .252 80 88241.7 4p5  2P1/2° 7d 4F3/2
1134.588 {.575.622 300 88137.7 {4p52P1/2°7d4P1/24p52P3/2°7s4P5/2
1134.888 .882 200 88114.4 4p5  2P1/2° 7d 4D3/2
1136.294 .290 250 88005.4 4p5  2P1/2° 7d 4D1/2
1139.350 .342 100 87769.3 4p5  2P3/2° 5d 4F3/2
1139.544 {.537.547 120 87754.4 {4p52P3/2°5d4F5/24p52P3/2°5d4P1/2
1140.732 .739 20 87663.0 4p5  2P1/2° 7s4P1/2
1141.564 .568 25 87599.1 4p5  2P1/2° 7s2P3/2
1145.268 .264 80 87315.8 4p5  2P1/2° 5d2D3/2
1145.854 .846 60 87271.2 4p5  2P3/2° 5d 4D1/2
1147.689 .689 80 87131.6 4p5  2P3/2° 5d 4D3/2
1147.943 .943 60 87112.3 4p5  2P1/2° 8s 4P3/2
1150.312 .307 80 86932.9 4p5  2P3/2° 5d 4D5/2
1151.381 .380 100 86852.2 4p5  2P1/2° 5d4P3/2
1152.418 .412 100 86774.1 4p5  2P1/2° 5d2P3/2
1152.833 .827 40 86742.8 4p5  2P1/2° 6d 4P1/2
1152.989 .988 60 86731.1 4p5  2P1/2° 6d 4F3/2
1154.640 .640 15 86607.1 4p5  2P1/2° 5d2P1/2
1159.030 .025 80 86279.0 4p5  2P3/2° 6s2P1/2
1160.332 .329 100 86182.2 4p5  2P1/2° 6d 4D3/2
1168.542 .539 150 85576.7 4p5  2P3/2° 6s′ 4P1/2
1170.479 .476 150 85435.1 4p5  2P3/2° 6s′ 2P3/2
1173.827 .825 175 85191.4 4p5  2P3/2° 4d2D3/2
1177.233 .230 250 84945.0 4p5  2P3/2° 4d2D5/2
1178.895 .889 400 84825.2 4p5  2P3/2° 4s4p6 2S1/2
1182.171 .169 150 84590.1 4p5  2P1/2° 7s 4P3/2
1186.161 .159 150 84305.6 4p5  2P3/2° 4d4P5/2
1189.279 .277 1000 84084.6 4p5  2P1/2° 5d 4F3/2
1189.378 .379 250 84077.6 4p5  2P3/2° 4d4P3/2
1189.498 .500 1000 84069.1 4p5  2P1/2° 5d 4P1/2
1194.413 .414 200 83723.1 4p5  2P3/2° 4d2F5/2
1196.370 .366 200 83586.2 4p5  2P1/2° 5d 4D1/2
1196.477 .480 200 83578.7 4p5  2P3/2° 4d2P3/2
1198.371 .374 500 83446.6 4p5  2P1/2° 5d 4D3/2
1203.353 .354 200 83101.1 4p5  2P3/2° 4d2P3/2
1209.756 .752 800 82661.3 4p5  2P3/2° 6s 4P3/2
1210.734 .739 1000 82594.5 4p5  2P1/2° 6s2P1/2
1216.006 .010 750 82236.4 4p5  2P3/2° 6s 4P5/2
1221.128 .125 1000 81891.5 4p5  2P1/2° 6s4P1/2
1221.870 .866 900 81841.8 4p5  2P3/2° 4d 4F3/2
1223.240 .240 1000 81750.1 4p5  2P1/2° 6s2P3/2
1224.408 .406 1200 81672.1 4p5  2P3/2° 4d 4F5/2
1226.899 .898 1200 81506.3 4p5  2P1/2° 4d2D3/2
1228.049 .049 750 81430.0 4p5  2P3/2° 4d 4P1/2
1232.431 .432 7500 81140.4 4p5  2P1/2° 4s4p6 2S1/2
1243.897 .901 1200 80392.5 4p5  2P1/2° 4d4P3/2
1249.589 .588 800 80026.3 4p5  2P3/2° 4d 4D1/2
1251.664 .670 1500 79893.6 4p5  2P1/2° 4d2P1/2
1255.799 .798 1000 79630.6 4p5  2P3/2° 4d 4D3/2
1259.199 .194 1500 79415.6 4p5  2P1/2° 4d2P1/2
1261.658 .656 1200 79260.8 4p5  2P3/2° 4d 4D5/2
1266.200 .202 1200 789765 4p5  2P1/2° 6s 4P3/2
1279.477 .480 1000 78156.9 4p5  2P1/2° 4d 4F3/2
1286.259 .261 1000 77744.8 4p5  2P1/2° 4d 4P1/2
1309.908 0.909 3000 76341.2 4p5  2P1/2° 4d 4D1/2
1316.735 .735 3000 75945.4 4p5  2P1/2° 4d 4D3/2
1317.372 .375 1000 75908.7 4p5  2P3/2° (1D2) 5s 2D3/2
1317.695 .691 2000 75890.1 4p5  2P3/2° (1D2) 5s 2D5/2
1384.598 .595 12000 72223.1 4p5  2P1/2° (1D2) 5s 2D3/2
1449.903 .901 3000 68970.1 4p5  2P3/2° 5s2P1/2
1488.452 .459 50000 67183.9 4p5  2P3/2° 5s2P3/2
1495.132 .129 5 66883.7 4p5  2P3/2° 5s4P1/2
1531.743 .746 30000 65285.1 4p5  2P1/2° 5s2P1/2
1540.654 .661 25000 64907.5 4p5  2P3/2° 5s 4P3/2
1574.841 0.844 30000 63498.5 4p5  2P1/2° 5s2P3/2
1576.387 .381 20000 63436.2 4p5  2P3/2° 5s 4P5/2
1582.312 .313 25000 63198.7 4p5  2P1/2° 5s4P1/2
1633.404 .401 75000 61221.8 4p5  2P1/2° 5s 4P3/2
a

λ1101.456 computed wavelength. The line is masked by λ 1101.498.

b

λ1111.579 this may be a Br II line.

Table A2.

Observed lines of Br I

Wavelength
Intensity
Wave number
Classification
Å K
3325.307 10 w 30063.76 5s 4P5/2 — 7p 2P3/2°
3348.566 15 29854.95 5s 4P5/2 — 10p  4D7/2°
3400.030
3400.060
}2520 29403.07
29402.81
}5s4P5/27p4S3/2°
3402.411

3402.436
}1510 29382.49

29382.28
}5s4P5/27p2D3/2°
3409.728
3409.753
}1510 29319.44
29319.23
}5s4P5/27p2D5/2°
3418.888 15w 29240.89 5s 4P5/2 — 9p  4D3/2°
3425.577 60 29183.79 5s 4P5/2 — 9p  4D7/2°
3428.605 15 29158.02 5s 4P5/2 — 9p  4P3/2°
3429.809 8 29147.79 5s 4P5/2 — 9p  4P5/2°
3472.188
3472.216
}2010 28792.04
28791.81
}5s4P5/24f[3]7/2°
3496.366 5 28592.94 5s 4P3/2 — 7p 2P3/2°
3497.433 1 28584.22 5s 4P3/2 — 7p 2P1/2°
3516.144 40 28432.12 5s 4P5/2 — 10p  4D3/2°
3541.173 100 28231.16 5s 4P5/2 — 8p  4D3/2°
3556.518
3556.540
}4030 28109.36
28109.19
}5s4P5/24f[3]7/2°
3557.461 250 28101.91 5s 4P5/2 — 8p  4D7/2°
3558.616 75 28092.79 5s 4P5/2 — 8p  4P3/2°
3563.706 50 28052.66 5s 4P5/2 — 8p  4P5/2°
3564.468
3564.498
}15w10 28046.67
28046.43
}5s4P5/24f[2]5/2°
3579.081 40 27932.16 5s 4P3/2 — 7p 4S3/2°
3581.712 15 27911.64 5s 4P3/2 — 7p 2D3/2°
3589.818 100 27848.62 5s 4P3/2 — 7p 2D3/2°
3599.962 100 27770.15 5s 4P3/2 — 9p  4D5/2°
3606.518 20 27719.67 5s 4P3/2 — 9p  4D5/2°
3608.864 7 27701.65 5s 4P3/2 — 9p  4P1/2°
3644.165
3644.198
}1510 27433.31
27433.06
}5s4P5/25f[2]5/2°
3646.605
3646.626
}10080 27414.96
27414.80
}5s4P5/25f[3]7/2,5/2°
3658.486 2h 27325.93 5s 4P3/2 — 6f [1]3/2°
3659.970 20 27314.85 5s 4P3/2 — 8p [2]5/2°
3735.800 500 26760.42 5s 4P3/2 — 8p  4D3/2°
3745.419 50 26691.70 5s 4P3/2 — 8p  4P1/2°
3751.287 10 26649.94 5s 4P3/2 — 8p  4D5/2°
3753.351 5 26635.29 5s 4P3/2 — 4f[3]5/2°
3756.032 30 26616.28 5s4P1/2 — 7p 2P3/2°
3757.265 5 26607.54 5s4P1/2 — 7p 2P1/2°
3761.746 2 26575.85 5s 4P3/2 — 4f[2]5/2°
3761.847 1 26575.14 5s 4P3/2 — 4f[2]3/2°
3770.88 150c 26511.48 5s 4P5/2 — 6p 2P3/2°
3794.03 900c 26349.72 5s 4P5/2 — 7p  4D3/2°
3798.805 5w 26316.60 5s2P3/2 — 7p 2P3/2°
3810.95 1h 26232.73 5s 4P5/2 — 7p  4D5/2°
3815.650 1200 26200.42 5s 4P5/2 — 7p  4D7/2°
3828.505 700 26112.45 5s 4P5/2 — 7p  4P3/2°
3829.75 200c 26103.96 5s 4P3/2 — 7p  4P3/2°
3844.035 100 26006.95 5s4P1/2 — 7p 4D1/2°
3847.37 5h 25984.41. 5s 4P3/2 — 5f [1]3/2°
3850.619 10 25962.49 5s 4P3/2 — 5f [2]5/2°
3850.740 1 25961.67 5s 4P3/2 — 5f [2]3/2°
3851.654 3 25955.51 5s4P1/2 — 7p 4S3/2°
3854.702 90 25934.99 5s4P1/2 — 7p 2D3/2°
3896.653 200 25655.78 5s2P3/2 — 7p 4S3/2°
3899.767 25 25635.29 5s2P3/2 — 7p 2D3/2°
3905.823
3905.858
}25w20 25595.55
25595.32
}5s4P5/26pS3/2°
3909.385 175 25572.23 5s2P3/2 — 7p 2D5/2°
3913.560 12 25544.95 5s2P3/2 — 7p 2S1/2°
3917.775
3917.819
}200150 25517.47
25517.18
}5s4P5/26p2D3/2°
3929.196 5 25443.30 5s2P3/2 — 9p  4D5/2°
3934.068
3934.084
3934.119
}6080100 25411.79
25411.68
25411.46
}5s4P5/26p2D5/2°
3942.026 2h 25360.49
3943.776 2 25349.23 5s4P1/2 — 6f [1]3/2°
3943.835 8 25348.86 5s4P1/2 — 6f [1]1/2°
3945.565 4 25337.74 5s4P1/2 — 6f [2]3/2°
3969.416 1 25185.50
3960.434 1 25185.38
3973.967 5 25156.66
3991.363 300 25047.01 5s 4P5/2 — (1D2) 5p  2D5/2°
3992.363 1500 25040.74 5s 4P3/2 — 6p 2P3/2°
3993.177 5 25035.64
3998.492 35 25002.36 5s 4P5/2 — (1D2) 5p  2D3/2°
3099.070 200 24998.75 5s 4P3/2 — 6p 2P1/2°
a 4000.599 2w 24989.19 5s 4P5/2 — 4f [1]3/2°
4009.296
4009.325
}2w2 2493499
24934.81
}5s4P5/24f[2]5/2°
4012.548
4012.580
}60s50 24914.78
24914.58
}5s4P5/24f[3]7/2°
4016.453 1h 24890.55
4018.316 200 24879.01 5s 4P3/2 — 7p  4D3/2°
4021.772 250 24857.64 5s 4P3/2 — 7p  4P1/2°
4033.762 1h 24783.75 5s4P1/2 — 8p  4D3/2°
4037.324 500 24761.89 5s 4P3/2 — 7p  4D5/2°
4056.404
4056.425
}30s25 24645.42
24645.29
}5s4P1/28p4P3/2°
4057.020 30 24641.67 5s 4P3/2 — 7p  4P5/2°
4058.406 75 24633.26 5s 4P3/2 — 7p  4P3/2°
4064.150 4 24598.44 5s4P1/2 — 4f[2]3/2°
4075.503 50 24529.92 5s2P1/2 — 7p 2P3/2°
4076.956 75 24521.18 5s2P1/2 — 7p 2P1/2°
4083.149 50 24483.99 5s2P3/2 — 8p  4D3/2°
4094.643 35 24415.26 5s2P3/2 — 8p  4P1/2°
4106.352 25 24345.65 5s2P3/2 — 8p  4P3/2°
4113.132 4 24305.52 5s2P3/2 — 8p  4P5/2°
4114.165 25 24299.41 5s2P3/2 — 4f[2]5/2°
4124.233 75 24240.09 5s 4P3/2 — 6p 4D1/2°
4143.974 600 24124.62 5s 4P3/2 — 6p 4S3/2°
4157.425 250 24046.57 5s 4P3/2 — 6p 2D3/2°
4164.158 4 24007.69 5s4P1/2 — 5f [1]3/2°
4164.270 15 24007.04 5s4P1/2 — 5f [1]1/2°
4168.115 10 23984.90 5s4P1/2 — 5f [2]3/2°
4175.786 50 23940.84 5s 4P3/2 — 6p 2D5/2°
4179.322 100 23920.58 5s2P1/2 — 7p 4D1/2°
4191.935 50 23848.61 5s2P1/2 — 7p 2D3/2°
4196.468 50 23822.85 5s 4P5/2 — (1D2) 5p  3P3/2°
4199.473 35 23805.80 5s 4P3/2 — 6p 2S1/2°
4202.487 450 23788.73 5s 4P5/2 — (1D2) 5p  2F7/2°
4220.701 5h 23686.08 5s2P3/2 — 5f [2]5/2°
4220.859 2 23685.19 5s2P3/2 — 5f [2]3/2°
4231.643 4 23624.83 5s 4P5/2 — (1D2) 5p  2F5/2°
4240.366 40 23576.23 5s 4P3/2 — (1D2) 5p  2D5/2°
4248.414 50 23531.57 5s 4P3/2 — (1D2) 5p  2D3/2°
4250.818 40 23518.26 5s 4P3/2 — 4f [1]3/2°
4250.924 15 23517.68 5s 4P3/2 — 4f [1]1/2°
4260.625 40 23464.13 5s 4P3/2 — 4f [2]5/2°
4261.964 3 23456.76 5s 4P3/2 — 4f [2]3/2°
4334.54 20 23064.01. 5s4P1/2 — 6p 2P3/2°
4342.45 2 23022.00 5s4P1/2 — 6p 2P1/2°
4365.14 2000 22902.34 5s4P1/2 — 7p  4D3/2°
4369.22 75 22880.95 5s4P1/2 — 7p  4P1/2°
4391.60 800 22764.35 5s2P3/2 — 6p 2P3/2°
4399.73 450 22722.28 5s2P3/2 — 6p 2P1/2°
4404.57 10 22697.32 5s2P3/2 — 8p  4D3/2°
4412.49 100 22656.58 5s4P1/2 — 7p  4P3/2°
4423.0:3 200 22602.59 5s2P3/2 — 7p  4D3/2°
4425.14 1500 22591.81 5s 4P3/2 — (1D2) 5p  2P1/2°
4427.20 40 22581.30 5s2P3/2 — 7p  4P1/2°
4431.59 1 22558.9:3 5s2P1/2 — 8p  4P3/2°
4441.74 10000 22507.38 5s 4P5/2 — 7p  4D3/2°
b4446.08 15 22485.41 5s2P3/2 — 7p  4D5/2°
4466.21 200 22384.07 5s 4P5/2 — 6p  4D5/2°
4469.98 150 22365.19 5s2P3/2 — 7p  4P5/2°
4471.67 80 22356.74 5s2P3/2 — 7p  4P3/2°
4472.61 10000 22352.04 5s 4P3/2 — (1D2) 5p  2P32°
4477.72 20000 22326.53 5s 4P5/2 — 6p  4D7/2°
4490.42 1000 22263.39 5s4P1/2 — 6p 4D1/2°
4513.44 3000 22149.84 5s 4P5/2 — 6p  4P3/2°
4513.82 150 22147.97 5s4P1/2 — 6p′  4S3/2°
4525.59 15000 22090.37 5s 4P5/2 — 6p  4P5/2°
4529.79 600 22069.89 5s4P1/2 — 6p 2D3/2°
4575.74 3000 21848.27 5s2P3/2 — 6p′  4S3/2°
4592.16 200 21770.15 5s2P3/2 — 6p′  2D3/2°
4614.58 2500 21664.38 5s2P3/2 — 6p′  2D5/2°
4640.92 40 21541.42 5s4P1/2 — 4f [1]3/2°
4641.02 70 21540.96 5s4P1/2 — 4f [1]1/2°
4643.52 900 21529.36 5s2P3/2 — 6p′  2S1/2°
b 4654.18 25 21480.05 5s4P1/2 — 4f [2]3/2°
4693.56 300 21299.83 5s2P3/2 — (1D2) 5p  2D5/2°
4703.42 50 21255.18 5s2P3/2 — (1D2) 5p  2D3/2°
4706.36 12h 21241.90 5s2P3/2 — 4f [1]3/2°
4720.03 100 21180.38 5s2P3/2 — 4f [2]3/2°
4722.97 9 21167.20 5s2P3/2 — 4f [3]5/2°
4752.28 2500 21036.65 5s 4P3/2 — 6p  4D3/2°
4765.63 250 20977.72 5s2P1/2 — 6p 2P3/2°
4775.20 750 20935.68 5s2P1/2 — 6p 2P1/2°
4780.31 4000 20913.30 5s 4P3/2 — 6p  4D5/2°
4785.19 1600 20891.97 5s 4P3/2 — 6p  4P1/2°
4802.67 250 20815.93 5s2P1/2 — 7p  4D3/2°
4807.61 350 20794.54 5s2P1/2 — 7p  4P1/2°
4834.46 500 20679.06 5s 4P3/2 — 6p  4P3/2°
4848.39 25 20619.64 5s 4P3/2 — 6p  4P5/2°
4860.04 250 20570.22 5s2P1/2 — 7p  4P3/2°
4906.49 10 20375.48 5s4P1/2 — (1D2) 5p  2P3/2°
4920.98 300 20315.48 5s2P3/2 — (1D2) 5p  2P1/2°
4921.80 10w 20312.10
4954.73 300 20177.10 5s2P1/2 — 6p 2D1/2°
4979.76 4000 20075.69 5s2P3/2 — (1D2) 5p  2P3/2°
4983.25 75 20061.63 5s2P1/2 — 6p 4S3/2°
5002.72 500 19983.55 5s2P1/2 — 6p 2D3/2°
5029.37 200 19877.66 5s2P3/2 — (1D2) 5p  2F5/2°
5063.74 40 19742.75 5s2P1/2 — 6p 2S1/2°
5092.60 4 19630.86
5138.55 10 19455.32 5s2P1/2 — 4f [1]3/2°
5139.47 10w 19451.84
5148.78 10 19416.67 5p  4P5/2° — 6d2D5/2
5150.47 6h 19410.30 5p  4P5/2° — 6d2D3/2
5220.71 8 19149.15 5p  4P5/2° — 10d 4D3/2
5222.32 12 19143.25 5p  4P5/2° — 10d 4D5/2
5226.91 20 19126.44 5p  4P5/2°— 10d 4D7/2
5211.43 5 19073.45 5p  4P3/2° — 6d2D3/2
5245.12 350 19060.04 5s′ 4P1/2 — 6p  4D3/2°
5261.80 5 18999.62 5p  4P5/2° — (1D2) 6d 2F5/2
5285.23 50 18915.39 5s′ 4P1/2 — 6p  4P1/2°
5297.32 15 18872.22 5p  4P5/2° — 11s 4P5/2
5314.18 10 13812.34 5p  4P3/2° — 10d 4D3/2
5315.85 8 18806.44 5p  4P3/2° — 10d 4D5/2
5317.25 20 18801.48 5p  4P5/2° — 6d4P5/2
5318.83 7 13795.90 5p  4D1/2° — 12d 4F9/2
5323.20 12 18730.47 5p  4P5/2° — 6d4P3/2
5328.92 200 18760.31 5s′ 2P3/2 — 6p  4D3/2°
5329.30 12 18758.97 5p  4P5/2° — 9d 4F7/2
5337.10 40 18731.56 5p  4P5/2° — 9d 4D7/2
5345.42 600 18702.40 5s′ 4P1/2 — 6p  4P3/2°
5348.29 10 18692.37 5p  4P3/2° — (1D2) 4d 2S1/2
5354.67 120 18670.09 5p  4P5/2° — 6d2F5/2
5356.74 12w 18662.88 5p  4P3/2° — (1D2) 4d 2F5/2
5364.19 300 18636.96 5s′ 2P3/2 — 6p  4D5/2°
5370.34 300 18615.62 5s′ 2P3/2 — 6p  4P1/2°
5379.13 15 18585.20 5p  4D7/2° — 11d 2F9/2
5382.96 120 18571.98 5p  4P5/2° — 6d2F7/2
5384.27 8 18567.46 5p  4D7/2° — 6d2D5/2
5393.58 7 18535.41 5p  4P3/2° — 11s 2P5/2
5395.48
5395.55
}1200900 18528.88
18528.64
}5s2P1/2( 1D2)5p2P1/2°
5414.26 4 18464.61 5p  4P3/2° — 6d4P5/2
5420.43 13 18443.59 5p  4P3/2° — 6d4P3/2
5420.80 18 1,442.33 5p  4P3/2° — 9d 4P1/2
5424.61 8h 18429.38 5p  4D5/2° — 11d 4F7/2
5432.47 60 18402.72 5s′ 2P3/2 — 6p  4P3/2°
5434.22 7 18390.79 5p  4P3/2° — 9d 4D5/2
5450.09 550 18343.22 5s′ 2P3/2 — 6p  4P5/2°
5453.03 90 18333.33 5p  4P3/2° — 6d2F5/2
5455.16 60 18326.17 5p  4P3/2° — 9d 4D3/2
5455.96 70 18323.49 5p  4P5/2° — 10s 4P5/2
5463.72 80 18297.46 5p  4D7/2° — 10d 4F9/2
5466.22 1200 18289.10 5s2P1/2 — (1D2) 5p  2P3/2°
5469.76 15 18277.26 5p  4D7/2° — 10d 4D7/2
5470.90 5 18273.45 5p  4P3/2° — 9d 4D1/2
5504.46 35h 18162.04 5p  4D5/2° — 10d 4F7/2
5520.86 20 18108.09 5p  4P3/2° — 6d2P3/2
5522.53 90 18102.61 5p  4P5/2° — 8d 4D3/2
5529.01 175 18081.40 5p  4P5/2° — 8d 4D5/2
5532.22 100 18070.91 5p  4P5/2° — 8d 4F5/2
5536.37 300 18057.36 5p  4P5/2° — 8d 4D7/2
5544.72 6 18030.17 5p  4P3/2° — 10s 4P3/2
5546.90 20 18023.08 5p  4D7/2° — 11s 4P5/2
5558.13 40 17986.67 5p  4P3/2° — 10s 4P5/2
5558.40 10 17985.79 5p  4D5/2° — (1D2) 4d 2F7/2
5588.17 160 17889.98 5p  4D7/2° — 9d 4F9/2
5590.56 50 17882.33 5p  4D7/2° — 9d 4D7/2
5597.26 15 17860.93 5p  4D5/2° — 11s 4P3/2
5602.41 8h 17844.51 {5p4P3/2°8d4F3/25p4P5/2°( 1D2)4d2D3/2
5604.96 4 17836.39 5p  4P1/2° — (1D2) 4d 2P1/2
5609.83 10h 17820.91 5p  4D7/2° — 6d2F5/2
5611.62 125 17815.22 5p  4P3/2° — 8d 4P1/2
5627.24 200 17765.77 5p  4P3/2° — 8d 4D3/2
5633.97 140 17744.55 5p  4P3/2° — 8d 4D5/2
5637.27 130 17734.16 5p  4D5/2° — 9d 4F7/2
5640.86 3.5 17722.87 5p  4D7/2° — 6d2F7/2
5645.31 30 17708.90 5p  4D5/2° — 9d 4D5/2
5645.97 45 17706.83 5p  4D5/2° — 9d 4D7/2
5667.75 9 17638.79 5p  4P1/2° — 6d4P3/2
5667.92 8 17638.26 5p  4D5/2° — 9d 4D3/2
5685.77 15W 17582.89 (1D2)5s 2D3/2 — 7p 2P1/2°
5697.29 18 17547.34 5p  4D5/2° — 6d2F7/2
5705.74 85 17521.35 5p  4P1/2° — 9d 4D3/2
5709.44 9 17509.99 5p  4P5/2° — 9s 4P3/2
5716.26 225 17489.10 5p  4P5/2° — 9s 4P5/2
5721.11 100 17474.28 5p  4D7/2° — 10s 4P5/2
5722.97 40h 17468.60 5p  4P1/2° — 9d 4D1/2
5764.66 45 17342.27 5p  4D5/2° — 10s 4P3/2
5771.30 5 17322.31 5p  4D7/2° — 8d 4F7/2
5777.69 10 17303.16 5p  4P1/2° — 6d2P3/2
5779.97 4 17296.33
5783.32 500 17286.31 5p  4D7/2° — 8d 4F9/2
5784.02 30 17284.22 5p  4P5/2° — 7d 4F5/2
5793.98 100 17254.51 5p  4P5/2° — 7d 4F3/2
5801.50 40 17232.14 5p  4D7/2° — 8d 4D5/2
5803.82 30 17225.26 5p  4P1/2° — 10s 4P3/2
5805.04 30 17221.64 5p  4D7/2° — 8d 4F5/2
5809.59 250 17208.15 5p  4D7/2° — 8d 4F7/2
5819.56 80 17178.67 5p  4P1/2° — 6d2P1/2
5821.45 12 17173.09 5p  4P3/2° — 9s 4P3/2
5826.07 5 17159.47
5827.08 10 17156.50 5p  4D5/2° — 8d 4F3/2
5828.51 150 17152.29 5p  4P3/2° — 9s 4P5/2
5828.89 7 17151.17
5830.39 400 17146.76 5p  4D5/2° — 8d 4F7/2
5833.39 900 17137.94 5p  4P5/2° — 7d 4D5/2
5836.84 150 17127.81 5p  4P5/2° — 7d 4D3/2
5852.08 1800 17083.21 5p  4P5/2° — 7d 4D7/2
5861.20 120 17056.62 5p  4D5/2° — 8d 4D5/2
5864.82 90 17046.10 5p  4D5/2° — 8d 4F5/2
5867.05 60 17039.62 5p  4P1/2° — 8a 4F3/2
5869.47 18 17032.59 5p  4D5/2° — 8d 4D7/2
5877.15 50w 17010.34 5p  4P1/2° — 8d 4P1/2
5886.87 60cw 16982.25 (1D2)5s 2D3/2 — 7p 4D1/2°
5889.87 60 16973.60 5s2P1/2 — 6p  4D3/2°
5894.28 18 16960.90 5p  4P1/2° — 8d 4D3/2
5898.32
5898.51
}88d 16949.28
16948.74
}( 1D2)5s2D5/27p4S3/2°
5898.96 90 16947.44 5p  4P3/2° — 7d 4F5/2
5905.45 900 16928.82 {5p4P3/2°( 1S0)5s2S1/25p4D3/2°( 1D2)4d2F5/2
c 5905.66 80 16928.22 (1D2)5s 2D5/2 — 7p 2D3/2°
5909.31 250 16917.76 5p  4P3/2° — 7d 4F3/2
5937.85 90 16836.45 5p  4P1/2° — 8d 4D1/2
5940.48 1600 16828.99 5s2P1/2 — 6p  4P1/2°
5943.71 140 16819.85 5p  4D5/2° — (1D2) 4d 2D3/2
5945.50 600 16814.78 5p  4P3/2° — 7d 4P1/2
5950.32 750 16801.16 5p  4P3/2° — 7d 4D5/2
5953.92 750 16791.01 5p  4P3/2° — 7d 4D3/2
5982.90 12 16709.67 5p  4D3/2° — 6d4P3/2
5983.35 5 16708.42 5p  4D3/2° — 9a 4P1/2
5985.32 125 16702.92 5p  4P1/2° — (1D2) 4d 2D3/2
5992.89 100 16681.82 5p  4P3/2° — 7d 4D1/2
5999.73 95 16662.80 5p  4D3/2° — 9d 4D5/2
6007.96 200 16639.98 5p  4D7/2° — 9s 4P5/2
6018.17 200 16611.75 5p  4P5/2° — 7s2P3/2
6022.66 30 16599.36 5p  4D3/2° — 6d2F5/2
6025.24 10h 16592.25 5p  4D3/2° — 9d 4D3/2
6057.87 200 16502.88 5p  4P5/2° — 5d2D5/2
6064.35 200 16485.25 5p  4D5/2° — 9s 4P3/2
6067.36 5 16477.07 5p  4D7/2° — (1D2) 4d 2G7/2
6095.74 700 16400.36 5p  4D7/2° — (1D2) 4d 2G9/2
6107.69 125 16368.27 5p  4P1/2° — 9s 4P3/2
6111.10 80 16359.14 5p  4D7/2° — 7d 4F7/2
6116.19 60 16345.52 5p  4D3/2° — (1D2) 4d 2D5/2
6118.80 300 16338.55 5p  4P3/2° — 7s4P1/2
6122.14 2400 16329.64 5p  4D7/2° — 7d 4F9/2
6122.35 100 16329.08 5p  4P5/2° — 5d4D3/2
6126.53 30W 16317.94 (1D2)5s 2D5/2 — 6f [4]7/2°
6132.71 800 16301.49 5p  4D5/2° — (1D2) 4d 2G7/2
6134.71 75 16296.18 5p  4D3/2° — 10s 4P3/2
6137.49 150 16288.80 5p  4D7/2° — 7d 4D5/2
6141.04 100w 16279.38 (1D2)5s 2D3/2 — 6f [3]5/2°
6142.73 100 16274.90 5p  4P3/2° — 7s4P3/2
6148.60 40000 16259.37 5s 4P5/2 — 5p 2P3/2°
d 6151.10 50d 16252.76 5p  4D3/2° — 10s 4P5/2
6158.19 750 16234.05 5p  4D7/2° — 7d 4D7/2
6177.39 2000 16183.59 5p  4D5/2° — 7d 4F7/2
6184.09 200 16166.05 5p  4P3/2° — 5d4D5/2
6199.74 50 16125.25 5p  4P5/2° — 8s 4P3/2
6203.08 900 16116.56 5p  4P5/2° — 8s 4P5/2
6204.35 90 16113.27 5p  4D5/2° — 7d 4D5/2
6204.49 90 16112.90 5p  4P1/2° — 7d 4F3/2
6205.40 120 16110.54 5p  4D3/2° — 8d 4F3/2
6208.26 100 16103.12 5p  4D5/2° — 7d 4D3/2
6216.71 5 16081.23 5p  4D3/2° — 8d 4P1/2
6225.51 65 16058.50 5p  4D5/2° — 7d 4D7/2
6235.87 10 16031.82 5p  4D3/2° — 8d 4D3/2
6244.39 400 16009.95 5p  4P1/2° 7d4P1/2
6248.24 200 16000.08 5p  4D3/2°— 8d 4F5/2
6251.32 300 15992.20 5p  4P3/2° — 5d2D3/2
6253.69 400 15986.14 5p  4P1/2° — 7d 4D3/2
6282.46 600 15912.93 5p  4P5/2° — 5d4D5/2
6284.69 8 15907.28 {5p2S1/2°8s4P1/25p4D3/2°8d4D1/2
6290.13 550 15893.53 5p  4P5/2° — 5d2F5/2
6296.71 700 15876.92 5p  4P1/2° — 7d 4D1/2
6301.36 275 15865.20 5p  4P5/2° — 5d4P3/2
6315.12 5 15830.63 5p 2S1/2° — 8s2P3/2
6331.99 300 15788.46 5p  4P3/2° — 8s 4P3/2
6335.48 1500 15779.76 5p  4P3/2° — 8s 4P5/2
6336.39
6336.56
}300500 15777.49
15777.07
}( 1D2)5s2D5/28p4D3/2°
6337.85 60 15773.86 5p  4D3/2° — (1D2) 4d 2D3/2
6343.79 35w 15759.09 (1D2)5s 2D3/2 — 8p  4D3/2°
6345.30 500 15755.34 5p  4P5/2° — 5d4F7/2
6349.82 500 15744.12 5p  4P5/2° — 6d 4F3/2
6350.73 60000 15741.87 5s 4P5/2 — 5p 4S3/2°
6371.60 200W 15690.31 (1D2)5s 2D3/2 — 8p  4P1/2°
6392.57 35W 15638.84 (1D2)5s 2D5/2 — 8p  4P3/2°
6398.03 30 15625.49 5p 4S1/2° — (1D2) 4d 2S1/2
6399.99 10w 15620.71 (1D2)5s 2D3/2 — 8p  4P3/2°
6405.52
6405.58
6405.68
6405.80
}3468 15607.22
15607.07
15606.83
15606.54
}( 1D2)5s2D5/24f[4]7/2°
6410.32 2500 15595.53 5p  4P5/2° — 6d 4F7/2
6418.29 45 15576.17 5p  4P3/2° — 5d4P5/2
6418.96
6419.03
}15s15 15574.54
15574.37
}( 1D2)5s2D3/24f[2]5/2°
6426.30 500 15556.75 5p  4P3/2° — 5d2F5/2
6435.81 15 15533.77 5p  4P1/2° — 7s4P1/2
6436.60 10 15531.86
6438.02 600 15528.43 5p  4P3/2° — 5d4F3/2
6458.92 25h 15478.19 5p  4D5/2° — 5d2D5/2
6462.32 500 15470.04 5p  4P1/2° — 7d2P3/2
6470.41 200 15450.70 5p  4P3/2° — 5d2P3/2
6475.23 100h 15439.20 5p  4D3/2° — 9s 4P3/2
6483.56 1800 15419.36 5p  4P3/2° — 6d 4P1/2
6483.96 35 15418.41 5p  4D3/2° — 9s 4P5/2
6488.62 800 15407.34 5p  4P3/2° — 6d 4F3/2
6493.80 20h 15395.05 5p 2D5/2° — 8s2P3/2
6501.51 4 15376.79 5p 2S1/2° — 6d4P3/2
6514.32 12 15346.56 5p  4D3/2° — 7s2P1/2
6514.62 1000 15345.85 5p  4P3/2° — 6d 4F5/2
b 6531.39 70 15306.45 5p 2D3/2° — 8s2P1/2
6532.29 600 15304.34 5p  4D5/2° — 5d2D3/2
6541.30 600 15283.26 5p  4P3/2° — 5d2P1/2
6544.57 20000 15275.62 5p  4P5/2° — 6d 4D5/2
6548.09 1500 15267.41 5p  4D7/2° — 8s 4P5/2
6551.57 12 15259.30 5p 2S1/2° — 9d 4D3/2
6559.80 50000cw 15240.16 5s 4P5/2 — 5p′  2D3/2°
6571.31 1000 15213.46 5p  4D3/2° — 7d 4F5/2
6574.29 15 15206.57 5p 2S1/2° — 9d 4D1/2
6576.24 10W 15202.06
6579.14 1800 15195.36 5p  4P5/2°— 6d 4D3/2
6579.36 300 15194.85 5p  4D3/2° — (1S0) 5s 4S1/2
6582.17 20000 15188.36 5p  4P5/2° — 6d 4D7/2
6582.62 35 15187.32 5p  4P1/2° — 5d2D3/2
6584.14 600 15183.82 5p  4D3/2° — 7d 4F3/2
6589.62 10w 15171.19 5p 2D5/2° — (1D2) 4d 2F7/2
6604.80 15 15136.32 4d 4D7/2 — 10f [4]9/2°
6613.05 4 15117.44 5p 4D1/2° — 8s4P1/2
6620.47 1500 15100.50 5p  4D5/2° — 8s 4P3/2
6621.44 8 15098.29 5p 2D5/2° — (1D2) 4d 2P3/2
6624.26 20 15091.86 5p  4D5/2° — 8s 4P5/2
6629.09 20 15080.86 5p  4D3/2° — 7d 4P1/2
6631.62 50000cw 15075.11 5s 4P5/2 — 5p′  2D5/2°
6635.10 60 15067.20 5p  4D3/2° — 7d 4D5/2
6636.62 150 15063.75 5p  4D7/2° — 5d4P5/2
6639.57 40 15057.06 5p  4D3/2° — 7d 4D3/2
6645.17 40 15044.37 5p  4D7/2° — 5d2F5/2
6646.59 120 15041.16 5p 2S1/2° — 6d2P3/2
6653.82 15 15024.81 5p 2D3/2° — (1D2) 4d 2S1/2
6666.93 150 14995.27 5p 2D3/2° — (1D2) 4d 2F5/2
6672.15 600 14983.54 5p  4P1/2° — 8s 4P3/2
6676.54 15 14973.68 {4d4D7/25f[3]5/2°5p2D3/2°( 1D2)4d2P1/2
6676.72 8 14973.28 4d 4D7/2 — 5f′ [3]7/2°
6681.71 15 14962.10 5p 2D5/2° — 6d4P5/2
6682.28 20000 14960.82 5s 4P3/2 — 5p 2P1/2°
6684.17
6684.23
6684.33
}505070 14956.59
14956.46
14956.23
}( 1D2)5s2D5/25f[4]5/2°
6687.33 90 14949.52 4d 4D7/2 — 5f′ [4]9/2°
6688.08 90 14947.85 5p  2D3/2° — 7d 4D1/2
6690.35 120cw 14942.78 (1D2)5s 2D3/2 — 5f [3]7/2°
6692.13 10000 14938.80 5p  4P3/2° — 6d 4D5/2
6694.62 10 14933.24 5p 2D3/2° — (1D2) 4d 2P3/2
6700.71 60h 14919.67 5p 2D5/2° — 9d 4F7/2
6702.07 110 14916.65 5p 2S1/2° — 6d′ 2P1/2
6706.79 60 14906.15 5p  2D7/2° — 5d2F7/2
6712.12 30 14894.31 5p′  2D5/2° — 9d 4D5/2
6713.06 125 14892.23 5p′  2D5/2° — 9d 4D7/2
6714.86 90 14888.23 5p  2D5/2° — 5d4P5/2
6719.97 8 14876.91
6720.68 75h 14875.34 4d 4D7/2 — 9f [4]9/2°
6723.65 400 14868.77 5p  4D5/2° — 5d2F5/2
6728.28 8000 14858.54 5p  4P3/2° — 6d 2D3/2
6738.61 100 14835.76 5p 4D1/2° — (1D2) 4d 2S1/2
6739.66 8 14833.45 5p  4D7/2° — 6d 4F5/2
6740.83 5 14830.87 5p 2D5/2° — 6d2F5/2
6752.67 6 14804.87 5p 4S3/2° — 8s4P1/2
6760.06 2000 14788.69 5s 4P3/2 — 5p 2P3/2°
6761.92 25 14784.62 5p 4D1/2° — (1D2) 4d 2P1/2
6765.12 8 14777.62 5p 2S1/2° — 8d 4F3/2
6771.95 175 14762.72 5p  4D5/2° — 5d2P3/2
6774.63 30h 14756.88 4d 4D5/2 — 5f[3]7/2°
6778.57 60 14748.30 5p 2S1/2° — 8d 4P1/2
6779.48 2000 14746.32 5p  4D7/2° — 5d4F7/2
6785.23 10 14733.83 4d 4D5/2 — 5f[4]7/2°
6785.74 900 14732.72 5p 2D5/2° — 6d2F7/2
6786.74 2200 14730.55 5p  2D5/2° — 5d4F7/2
6787.34 175 14729.25 5p  2D3/2° — 9d 4D5/2
6787.77 8 14728.31 5p 4S3/2° — 8s2P3/2
6790.04 6500 14723.39 5p  4D7/2° — 6d 4F9/2
6791.48 1600c 14720.27 5p  4P3/2° — 6d 4D1/2
6801.35 60 14698.91 5p 2S1/2° — 8d 4D3/2
6816.72 50 14665.76 5p 2D3/2° — 6d2F5/2
6820.04 6h 14658.63 5p 2D3/2° — 9d 4D3/2
6820.39 800 14657.87 5p  4D5/2° — 6d 4F5/2
6826.02 400 14645.78 5p  4P1/2° — 5d2P3/2
6840.62 175 14614.53 5p  4P1/2° — 6d 4P1/2
6844.82 5 14605.56 5p′  4D5/2° — 6d2P3/2
6845.27 40c 14604.60 5p  4D3/2° — 7s4P1/2
6846.27 150 14602.46 5p  4P1/2° — 6d 4F3/2
6853.51 3 14587.04 5p 4D1/2° — 8f 4P3/2
6858.22 45 14577.02 5p 2D5/2° — (1D2) 4d 2D5/2
6859.43 20 14574.45 5p 2S1/2° — 8d 4D1/2
6861.15 1800 14570.80 5p  4D5/2° — 6d 4F7/2
6875.22 20w 14540.98 5p  4D3/2° — 7s2P3/2
6887.99 12h 14514.02 4d 4D7/2 — 8f [3]7/2,5/2°
6888.73 80h 14512.46 4d 4D7/2 — 8f [4]9/2°
6904.95 400 14478.37 5p  4P1/2° — 5d2P1/2
6922.86 30 14440.91 5p 2S1/2° — (1D2) 4d 2D3/2
6923.04 1 14440.54 5p 2D3/2° — 6d2P3/2
6927.10 2 14432.07 5p  4D3/2° — 5d2D5/2
6927.34 8 14431.57 5p 4S3/2° — (1D2) 4d 2P3/2
6929.78 400 14426.49 5p  4D7/2° — 6d 4D5/2
6936.76 20 14411.98 5p 2D3/2° — (1D2) 4d 2D5/2
6962.99 10 14357.69 4d 4D3/2 — 5f[2]5/2°
6971.96 250 14339.21 5p  4D7/2° — 6d 4D7/2
6992.25 5 14297.60 4d 4D5/2 — 8f [3]7/2,5/2°
6992.83 5 14296.42 4d 4D5/2 — 8f [4]7/2°
6993.31 20 14295.44 5p 4S3/2° — 6d4P5/2
7005.19 10000 14271.19 5s 4P3/2 — 5p 4S3/2°
7011.53 50 14258.29 5p  4D3/2° — 5d2D3/2
7015.15 75 14250.93 5p  4D5/2° — 6d 4D5/2
7024.70 20 14231.56 5p′  2D5/2° — 8d 4F5/2
7026.53 2 14227.85
7031.36 15 14218.08 5p′  2D5/2° — 8d 4D7/2
7054.88 50 14170.68 5p  4D5/2° — 6d 4D3/2
7058.38 200 14163.65 5p  4D5/2° — 6d 4D7/2
7061.71 1 14156.97 5p′  4S3/2° — 9d 4D3/2
7066.33 4 14147.72 5p 2D3/2° — 8d 4P1/2
7076.71 5 14126.97 5p 4D1/2° — 6d2P1/2
7082.63 3 14115.16 5p 2P1/2° — 8s4P1/2
7091.12 4 14098.26 5p 2D3/2° — 8d 4D3/2
7101.80 5h 14077.06 5p 2D3/2° — 8d 4D5/2
7107.14 1 14066.48 5p 2D3/2° — 8d 4F5/2
7111.50
7111.62
7111.73
}100100150 14057.86
14057.62
14057.40
}( 1D2)5s2D5/26p2P3/2°
7113.22 50 14054.46 5p  4D3/2° — 8s 4P3/2
7113.60 100 14053.71 5p  2P1/2° — 6d 4D3/2
7117.59 15 14045.83 5p  4D3/2° — 8s 4P5/2
7120.78
7120.88
}1015 14039.54
14039.34
}( 1D2)5s2D3/26p2P3/2°
7133.95 5 14013.62 5p 2S1/2° — 7s2P1/2
7138.05 2 14005.57 5p 2P3/2° — (1D2) 4d 2S1/2
7138.19 4 14005.29 5p 2D5/2° — (1D2) 4d 2D3/2
7142.17
7142.30
}300400 13997.49
13997.23
}( 1D2)5s2D3/26p2P1/2°
7145.56 2 13990.85 4d 4D7/2 — 7f [2]5/2°
7147.07 4 13987.89 5p 4D1/2° — 8d 4F3/2
7149.08 15 13983.96 4d 4D7/2 — 7f [3]7/2,5/2°
7150.00 8 13982.16 4d 4D7/2 — 7f [4]7/2°
7150.30 75 13981.57 4d 4D7/2 — 7f [4]9/2°
7153.13 5h 13976.04 5p 2P3/2° — (1D2) 4d 4F5/2
7160.74 15 13961.19 4d 4D1/2 — 5f[2]3/2°
7162.10 750 13958.54 5s 4P3/2 — 5p 4D1/2°
7172.22 25 13938.84 5p 4S3/2° — 6d2P3/2
7175.74 5H 13932.00 4d 4D3/2 — 8f [2]3/2°
7177.89 5h 13927.83 4d 4D3/2 — 8f [3]5/2°
7184.30 300 13915.41 5p  4P1/2° — 6d 4D1/2
7194.24
7194.30
7194.41
7194.53
 }35715 13896.18
13896.06
13895.85
13895.62
}( 1D2)5s2D5/27p4D3/2°
7214.95 5c 13856.29 (1D2)5s 2D3/2 — 7p  4P1/2°
7217.78 20 13850.86 5p 2S1/2° — 7d 4F3/2
7222.31 50 13842.17 5p  4D3/2° — 5d4P5/2
7232.45 100 13822.76 5p  4D3/2° — 5d2F5/2
7236.86 7 13814.34 5p 4S3/2° — 6d2P1/2
7247.29 5h 13794.46 5p  4D3/2° — 5d4P3/2
7255.56 15cw 13778.74 (1D2)5s 2D5/2 — 7p  4D5/2°
7257.82 10h 13774.45 4d 4D5/2 — 7f [2]5/2°
7260.45 2000 13769.46 5s 4P3/2 — 5p 2D3/2°
7261.46 20 13767.54 4d 4D5/2 — 7f [3]7/2,5/2°
7262.40 25 13765.76 4d 4D5/2 — 7f [4]7/2°
7265.16 5 13760.53 (1D2)5s 2D3/2 — 7p  4D5/2°
7272.58 3w 13746.49 (1D2)5s 2D5/2 — 7p  4D7/2°
7284.41 5 13724.17 5p 2S1/2° — 7d 4D3/2
7288.40 150 13716.65 5p  2D3/2° — 5d2P3/2
7291.92 1 13710.03 5p 2P3/2° — 9d 4D5/2
7305.03 75 13685.43 5p  4D3/2° — 6d 4P1/2
7310.45 4 13675.28 5p 4S3/2° — 8d 4F3/2
7311.48 100d 13673.35 5p  4D3/2° — 6d 4F3/2
7319.31
7319.41
7319.53
}202530 13658.73
13658.54
13658.32
}( 1D2)5s2D5/27p4P5/2°
7323.35 10 13651.19 5p 4D1/2° — (1D2) 4d 2D3/2
7329.20 10hw 13640.30 (1D2)5s 2D3/2 — 7p  4P5/2°
7329.68 1 13639.40 5p 2P3/2° — 9d 4D3/2
7333.65
7333.77
}20s25 13632.02
13631.80
}( 1D2)5s2D3/27p4P3/2°
7342.85 10 13614.94 5p 2S1/2° — 7d 4D1/2
7344.53 100 13611.83 5p 4D3/2° — 6d 4F5/2
7348.51 10000 13604.45 5s 4P3/2 — 5p 2D5/2°
7378.43 20d 13549.29 5p  4D3/2° — 5d2P1/2
7383.69 5 13539.63 4d 4D7/2 — 9p  4P5/2°
7385.54 4h 13536.24 4d 4D1/2 — 8f [2]3/2°
7420.69 2 13472.13 5p 4S3/2° — 8d 4D1/2
7425.85 750 13462.76 5p  4P5/2° — 7s 4P5/2
7452.13 60 13415.29 5p 2D5/2° — 7d 4F3/2
7453.43 70 13412.95 5p 2D3/2° — 7s2P½
7458.23 50h 13404.32 4d 4D3/2 — 7f [2]3/2°
7461.86 70 13397.79 4d 4D3/2 — 7f [3]5/2°
7464.68 8 13392.73 5p 2P3/2° — (1D2) 4d 2D5/2
7495.46 15hw 13337.74 4d 4F9/2 — 9f [5]11°/2
7497.81 5 13333.56 4d 2D5/2 — 9p  4P3/2°
7512.96 40000 13306.67 5s 4P5/2 — 5p  4D3/2°
7532.77 50 13271.67 5p 2S1/2° — 7s4P½
7535.79 400 13266.36 5p  4P3/2° — 7s 4P3/2
7545.60 1 13249.11 5p 2P1/2° — 6d2P3/2
7551.40
7551.48
7551.60
}100125175 13238.93
13238.79
13238.58
}( 1D2)5s2D3/26p4D1/2°
7559.99 70 13223.89 5p 2D1/2° — 7s2P½
7569.08 500 13208.01 5p 2S1/2° — 7s2P3/2
7570.87 550 13204.89 5p  4D3/2° — 6d 4D5/2
7575.23 15w 13197.29
7582.56 10h 13184.53
7582.98 100h 13183.80 4d 4D7/2 — 4f[3]7/2°
7586.60 25 13177.51 4d 4D7/2 — 6f [2]5/2°
7591.61 1600 13168.81 5s 4P3/2 — 5p 2S1/2°
7594.52 25 13163.77 4d 4D7/2 — 6f [4]7/2°
7595.07 1800 13162.81 4d 4D7/2 — 6f [4]9/2°
7598.00 4 13157.74 5p 2P3/2° — 8d 4F3/2
7604.03 70 13147.30 5p 2D3/2° — 7d 4P1/2
7606.28 120 13143.41 4d 4D7/2 — 6f [3]7/2,5/2°
7607.15
7607.25
7607.38
7607.54
}100150200300 13141.91
13141.74
13141.51
13141.24
}( 1D2)5s2D5/26p4S3/2°
7616.41 2000 13125.93 5p  4P3/2° — 7s 4P5/2
7617.82
7617.90
7618.03
}3510 13123.50
13123.36
13123.14
}( 1D2)5s2D5/26p4S3/2°
7632.87 50 13097.63 5p  4P5/2° — 5d 4F3/2
7641.64 600 13082.59 5p  4P5/2° — 5d 4F5/2
7647.70 40 13072.23 5p 4D1/2° — (1S0) 5s 2S½
7652.60
7652.70
7652.85
7653.02
}304060120 13063.86
13063.69
13063.43
13063.14
}( 1D2)5s2D5/26p2D3/2°
7663.39
7663.50
7663.63
}405080 13045.46
13045.28
13045.06
}( 1D2)5s2D3/26p2D3°
7680.56 5h 13016.30 4d 4D1/2 — 7f [1]3/2°
7680.74 10h 13016.00 4d 4D1/2 — 7f [1]1/2°
7681.75 20 13014.29 5p 2D3/2° — 7d 4D½
7685.11 50 13008.60 4d 4D1/2 — 7f [2]3/2°
7698.72 35 12985.60 5p 2P1/2° — 8d 4F3/2
7699.58 80 12984.15 5s4P1/2 — 5p 2P1/2°
7703.17 2 12978.10 4d 4D3/2 — 9p  4P1/2°
7704.32 60h 12976.16 4d 4F9/2 — 8f [5]11°/2
7706.69 15hw 12972.17 4d 4D5/2 — 6f [1]3/2°
7708.39 8 12969.31 4d 4F9/2 — 8f [4]9/2°
7709.35 15h 12967.69 4d 4D5/2 — 4f[3]5/2°
7709.55 15h 12967.36 4d 4D5/2 — 4f[3]7/2°
7711.68 5 12963.78 4d 4D3/2 — 9p  4P3/2°
7713.27 200 12961.10 4d 4D5/2 — 6f [2]5/2°
7713.54 45 12960.65 4d 4D5/2 — 6f [2]3/2°
7715.06
7715.16
7715.31
7715.48
}100150200400 12958.10
12957.93
12957.68
12957.39
}( 1D2)5s2D5/26p2D5/2°
7717.18 2 12954.54 5p 2P3/2° — 8d 4D1/2
7721.45 300 12947.37 4d 4D5/2 — 6f [4]7/2°
7726.02
7726.13
7726.26
}6080110 12939.71
12939.53
12939.31
}( 1D2)5s2D3/26p2D5/2°
7729.19 1 12934.41 5p 4D1/2° — 7d 4D3/2
7733.61 900 12927.01 4d 4D5/2 — 6f [3]7/2,5/2°
7734.61 25 12925.34 5p 2S1/2° — 5d2D3/2
7742.05 1 12912.92 4d 4F7/2 — 5f[4]9/2°
7783.44 9w 12844.26 4d 4F7/2 — 9f [5]9/2°
7795.01 15 12825.19 5p 4D1/2° — 7d 4D1/2
7803.02 30000 12812.03 5s4P1/2 — 5p 2P3/2°
7807.52
7807.64
7807.78
}5060100 12804.64
12804.44
12804.21
}( 1D2)5s2D3/26p2S1/2°
7821.10 30 12782.41 5p 2P1/2° — 8d 4D1/2
7827.23 1200 12772.40 5p 2D5/2° — 7s2P3/2
7835.08 30 12759.60 5p 4S3/2° — (1S0) 5s 2S1/2
7841.87 30 12748.55 5p 4S3/2° — 7d 4F3/2
7843.58 600 12745.77 5p  4P3/2° — 5d 4F5/2
7844.01
7844.10
}8080 12745.07
12744.93
}5p4P3/2°5d4P1/2
7869.53 10 12703.74 4d 4F9/2 — 10p  4D7/2°
7881.45
7881.57
}2500s2500 12684.53
12684.34
}5s2P3/25p2P1/2°
7889.85 600 12671.03 5p 2D3/2° — 7s4P1/2
7903.66 50 12648.89 5p 2P1/2° — (1D2) 4d 2D3/2
7905.70 50 12645.62 5p 4S3/2° — 7d 4P1/2
7925.81 2500 12613.54 5p  4D7/2° — 7s 4P5/2
7929.69 250 12607.37 5p 2D3/2° — 7s2P3/2
7932.99 30W 12602.12 {4d4D3/26f[1]3/2°4d4D3/26f[1]1/2°
7938.68 30000c 12593.09 (1D2)5s 2D5/2 — (1D2) 5p  4D5/2°
7940.07 60 12590.88 4d 4D3/2 — 6f [2]3/2°
7947.94 3000 12578.42 5p  4D5/2° — 7s 4P3/2
7950.18 3000 12574.87 (1D2)5s 2D3/2 — (1D2) 5p  2D5/2°
7961.33 350 12557.26 4d 4D3/2 — 6f [3]5/2°
7966.84
7967.03
}600750 12548.58
12548.28
}( 1D2)5s2D5/2( 1D2)5p2D3/2°
7975.11
7975.23
7975.39
7975.62
}10201535 12535.56
12535.38
12535.12
12534.76
}( 1D2)5s2D5/24f[1]3/2°
7978.44
7978.57
}800010000 12530.33
12530.13
}( 1D2)5s2D3/2( 1D2)5p2D3/2°
7989.94 30000 12512.30 5s2P3/2 — 5p 2P3/2°
7997.02 80 12501.22 4d 4D7/2 — 4f[3]7/2°
7998.75 175 12498.52 5p 2D3/2° — 5d2D5/2
8004.36 25 12489.76 5p 2D5/2° — 5d2D3/2
8008.87 30h 12482.72 4d 4F7/2 — 8f [5]9/2°
8009.36 75 12481.96 5p 2D1/2° — 7s4P1/2
8009.77
8009.86
8010.00
8010.17
}100150200400 12481.32
12481.18
12480.96
12480.70
}( 1D2)5s2D5/24f[2]5/2°
8013.03 1 12476.24 4d 4F7/2 — 8f [4]7/2°
8014.51
8014.60
8014.74
8014.89
}100150175200 12473.94
12473.80
12473.58
12473.35
}( 1D2)5s2D5/24f[2]3/2°
8021.57
8021.67
8021.80
}100150200 12462.96
12462.80
12462.60
}( 1D2)5s2D3/24f[2]5/2°
8022.52 800 12461.48 {5p4P1/2°7s4P3/25p2S1/2°5d4P3/2
8022.83
8022.98
8023.14
}151520 12461.00
12460.77
12460.52
}( 1D2)5s2D5/24f[3]7/2°
8023.91 900 12459.33 5p  4P5/2° — 5d 4D3/2
8026.35
8026.54
}20002500 12455.54
12455.24
}( 1D2)5s2D3/24f[2]3/2°
8028.22 18 12452.64 4d 4D7/2 — 4f[4]7/2°
8028.80 400 12451.74 4d 4D7/2 — 4f[4]9/2°
8029.48
8029.53
8029.67
8029.81
}100150200250 12450.68
12450.60
12450.39
12450.17
}( 1D2)5s2D5/24f[4]7/2°
8030.91 250h 12448.47 4d 4F9/2 — 7f [5]11/2°
8033.40 40 12444.61 4d 4D7/2 — 8p  4P5/2°
8034.83
8034.91
8035.03
}75100150 12442.39
12442.27
12442.08
}( 1D2)5s2D3/24f[3]5/2°
8037.34 40 12438.51 {4d4D7/24f[2]5/2°4d4F9/27f[4]9/2°
8037.65 60 12438.03 5p  4D5/2°—7s 4P5/2
8050.41 15 12418.31 5p 4D1/2°—7s2P3/2
8066.38 200 12393.73 5p 2P3/2°—7s2P1/2
8072.89 300 12383.73 5p 2S1/2°—5d2P3/2
8101.21 150 12340.44 5p 2S1/2°—6d 4F3/2
8111.56 50 12324.70 5p 2D3/2°—5d" 2D3/2
8113.04 20h 12322.45 4d 4F5/2—5f[4]7/2°
8131.52 30000 12294.44 5s4P1/2—5p 4S3/2°
8137.89 150 12284.82 4d 4D5/2—4f[3]7/2°
8142.80 40h 12277.41 {4d4D5/28p4D7/2°5p2D5/2°8s4P5/2
8148.84 20 12268.31 4d 4D5/2—8p  4P3/2°
8152.65 1000c 12262.58 5p  4P3/2°—5d 4D1/2
8153.75 10000 12260.92 5p  4P5/2°—5d 4D5/2
8154.00 25000 12260.55 5s 4P5/2— 5p  4D5/2°
8166.32 175 12242.05 5p"  2P3/2°—(1S0)5s 2S1/2
8170.21 200d 12236.22 4d 4D5/2—4f[4]7/2°
8172.09 200 12233.41 5p  4D7/2°—5d 4F5/2
8173.71 20 12230.98 5p"  2P3/2°—7d 4F3/2
8175.58 25 12228.19 4d 4D5/2—8p  4P5/2°
8179.65 40 12222.10 4d 4D5/2—4f[2]5/2°
8180.01 100 12221.56 5p"  2P1/2°—7s2P1/2
8183.52 450 12216.32 5p 2S1/2°—5d' 2P1/2
8189.93
8190.08
}1hw1hw 12206.76
12206.54
}4d4D1/26f[1]3/2°
8190.28 40 12206.24 4d 4D1/2—6f [1]1/2°
8197.73 175h 12195.15 4d 4D1/2—6f [2]3/2°
8210.49 3h 12176.19 4d 4F3/2—5f[3]5/2°
8215.12 200 12169.33 5p 4S3/2°—7s' 4P1/2
8237.96 500 12135.59 5p 4D1/2°5d2D3/2
8246.86 5000 12122.50 5p  4P3/2° — 5d 4D3/2
8247.97 30 12120.86 5p 2D3/2° — 8s 4P3/2
8252.38 30 12114.39 5p 2P3/2° — 7d 4D5/2
8253.87 35 12112.20 5p 2D3/2° — 8s 4P5/2
8258.32 300 12105.67 5p 4S3/2° — 7s2P3/2
8264.96 15000 12095.95 5p  4P5/2° — 5d 4D7/2
8272.44 75000c 12085.01 5s 4P5/2 — 5p  4D7/2°
8280.24 100 12073.63 5p 2D5/2° — 5d′ 4P5/2
8280.75 100w 12072.88 5p  4D5/2° — 5d 4F3/2
8291.06 900 12057.87 5p  4D5/2°— 5d 4F5/2
8293.57 100 12054.22 5p 2D5/2° — 5d′ 2F5/2
8308.49 20 12032.57 4d 4F9/2 — 9p  4D7/2°
8313.09 10 12025.92 5p 2D5/2° — 5d′ 2P3/2
8334.70 20000 11994.74 5s2P3/2 — 5p 4S3/2°
8343.70 10000 11981.80 5s4P1/2 — 5p 4D1/2°
8361.71 300 11955.99 5p  4P1/2° — 5d 4F3/2
8362.38 100h 11955.03 4d 4F7/2 — 7f [5]9/2°
8367.20 15 11948.15 5p 2D5/2° — 5d′ 2P3/2
8369.00 20 11945.58 4d 4F7/2 — 7f [4]7/2°
8372.79 150 11940.17 5p  4P1/2° — 5d 4P1/2
8378.65 100w 11931.82 5p 4D1/2° — 8s 4P3/2
8382.42 5 11926.45 4d 4D3/2 — 8p  4D5/2°
8384.04 1200 11924.15 5p  4P3/2° — 5d 4D5/2
8387.99 100 11918.53 5p  4D7/2° — 5d 4F7/2
8389.75 300 11916.03 5p′  2D5/2° — 5d2F7/2
8392.76 75 11911.76 4d 4D3/2 — 4f′ [3]5/2°
8397.62 50 11904.86 5p′  2D5/2° — 6d 4F3/2
8402.08 20 11898.55 4d 4D3/2 — 8p  4P3/2°
8408.68 250 11889.21 5p′  2D3/2° — 5d′ 2F5/2
8410.79 10w 11886.22 4d 4F5/2 — 8f [3]7/2,5/2°
8411.61 5w 11885.06 4d 4F5/2 — 8f [4]7/2°
8421.88 4 11870.57
8428.77 75 11860.87 5p′  2D3/2° — 5d′ 4P3/2
8430.51 50 11858.42 4d 4D3/2 — 8p  4P5/2°
8434.83 150 11852.35 4d 4D3/2 — 4f[2]5/2°
8435.34 75 11851.63 4d 4D3/2 — 4f[2]3/2°
8441.26 100 11843.32 5p′  2D5/2° — 6d 4F5/2
8446.55 40000 11835.90 5s 4P3/2 — 5p  4D3/2°
8454.25 75 11825.12 4d 4D7/2 — 5f [2]5/2°
8467.38 300 11806.78 4d 4D7/2 — 5f [3]7/2,5/2°
8470.62 100 11802.27 4d 4D7/2 — 5f [4]7/2°
8471.51 500 1101.03 4d 4D7/2 — 5f [4]9/2°
8477.45 4000 11792.76 5s′ 4P1/2 — 5p 2D3/2°
8484.40 30 11783.10 5s′  2D3/2° — 5d2P3/2
8503.78 400 11756.25 5p′  2D5/2° — 6d 4F7/2
8513.38 1500 11742.99 5p  4D5/2° — 5d 4F7/2
8515.69 100 11739.80 5p 2D3/2° — 6d 4F3/2
8529.38 8h 11720.96
8557.73 1000 11682.13 5s′ 2P3/2 — 5p 4D1/2°
8560.57 300 11678.26 5p 2D3/2° — 6d 4F5/2
8565.30 200 11671.81 5p 4D1/2° — 5d′ 4P3/2
8566.28 1000 11670.47 5p  4D7/2° — 5d 4F9/2
8578.84 400 11653.39 5p 2S1/2° — 6d 4D1/2
8580.00 20 11651.81 5p 2P3/2° — 7s′ 4P1/2
8592.30 250 11635.13 4d 4F9/2 — 6f [5]11/2°
8595.50 50 11630.80
8595.67 50 11630.57 4d 4D5/2 — 5f [1]3/2°
8603.00 2 11620.66 4d 4F9/2 — 6f [4]7/2°
8603.69 100 11619.73 4d 4F9/2 — 6f [4]9/2°
8604.06 20hw 11619.23 5p 4S3/2° — 8s 4P3/2
8606.68 20 11615.69 5p 2D3/2° — 5d1P1/2
8608.98 30hw 11612.59 {4d4P1/27f[1]3/2°4d4P1/27f[1]1/2°
8610.49 100 11610.55 5p 4S3/2° — 8s 4P5/2
8611.85 250 11608.72 4d 4D5/2 — 5f [2]5/2°
8612.48 75 11607.87 4d 4D5/2 — 5f [2]3/2°
8625.38 750c 11590.51 (1D2)5s 2D3/2 — (1D2) 5p  2P1/2°
8625.47 100 11590.39 4d 4D5/2 — 5f [3]7/2,5/2°
8628.84 200 11585.86 4d 4D5/2 — 5f [4]7/2°
8638.66 20000 11572.69 5s 4P5/2 — 5p  4P3/2°
8655.11 100 11550.70 5p 4D1/2° — 6d 4F3/2
8658.84 10 11545.72 4d 4F7/2 — 9p  4D5/2°
8668.84 300 11532.40 5p  4D3/2° — 7s 4P3/2
8698.53 4000 11493.04 5s′ 2P3/2 — 5p′  2D3/2°
8708.68 75 11479.64 5p″  2P1/2° — 7s′ 4P1/2
8708.96 100 11479.27 5p″  2P3/2° — 5d4D5/2
8725.33 500 11457.74 5p  4P1/2° — 5d 4D1/2
8726.75 100c 11455.87 4d 4D1/2 — 4f′ [2]3/2°
8741.64 50 11436.36 5p 2D5/2° — 6d 4D5/2
8742.99 75 11434.59 5p  4D5/2° — 5d 4D3/2
8749.10 10 11426.61 5p 4D1/2° — 5d2P1/2
8757.24 10 11415.99 5p 2P1/2° — 7s2P3/2
8760.46 700 11411.79 5p  4D7/2° — 5d 4D5/2
8764.20 500 11406.92 5p 4S3/2° — 5d4P5/2
8775.71 250 11391.96 5p  4D3/2° — 7s 4P5/2
8779.15 50 11387.50 5p 4S3/2° — 5d2F5/2
8793.47 10000c 11368.95 (1D2)5s 2D5/2 — (1D2) 5p  2P3/2°
8798.04 6 11363.05 4d 4F5/2 — 7f [2]5/2°
8801.03 150 11359.19 5p 4S3/2° — 5d4P3/2
8803.41 100 11356.12 {4d4F5/27f[3]7/2,5/2°5p2D5/2°6d4D3/2
8804.76 20 11354.38 4d 4F5/2 — 7f [4]7/2°
8807.44
8807.68
}600800 11350.92
11350.61
}( 1D2)5s2D3/2( 1D2)5p2P3/2°
8808.85 500 11349.10 5p 2D5/2° — 6d 4D7/2
8819.96 15000 11334.81 (1D2)5s 2D5/2 — (1D2) 5p  2F7/2°
8825.22 25000 11328.05 5s2P3/2 — 5p′  2D5/2°
8833.33 175 11317.65 5p  4P1/2° — 5d 4D3/2
8842.85 125 11305.47 5p 2P3/2° — 5d″ 2D3/2
8861.69 85 11281.43 5p 4S3/2° — 5d′ 2P3/2
8869.64 300 11271.32 5p 2D3/2° — 6d 4D5/2
8870.46 200 11270.28 5p  4P3/2° — 6s″ 2P1/2
8875.43 3 11263.97 6s 4P5/2 — 7p″  2P3/2°
8877.89 90 11260.85 4d 4D3/2 — 5f [1]3/2°
8878.40 90 11260.20 4d 4D3/2 — 5f [1]1/2°
8886.34 40 11250.14 5p  4S3/2° — 6d 4P1/2
8888.98 4000 11246.80 5p 4D7/2° — 5d 4D7/2
8895.21 20 11238.92 4d 4D3/2 — 5f [2]5/2°
8895.87 150 11238.09 {4d4D3/25f[2]3/2°5p4S3/2°6d4F3/2
8897.62 30000 11235.88 5s 4P5/2 — 5p  4P5/2°
8909.73 300 11220.60 4d 4D3/2 — 5f [3]5/2°
8925.64 15 11200.60 4d 4F3/2 — 7f [1]3/2°
8932.40 6000 11192.13 5s′ 4P1/2 — 5p′  2S1/2°
8933.29 25 11191.01 5p 2D3/2° — 6d 4D3/2
8936.96 15 11186.42 4d  4F3/2° — 7f [3]5/2°
8944.83 50 11176.57 5p 2S3/2° — 6d 4F5/2
8949.39 1800 11170.88 (1D2)5s 2D5/2 — (1D2) 5p  2F5/2°
8964.00 9000 11152.67 (1D2)5s 2D3/2 — (1D2) 5p  2F5/2°
8972.83 350 11141.70 4d 4F7/2 — 6f [5]9/2°
8979.59 200 11133.31 5p 2P1/2° — 5d″ 4D3/2
8984.56 100 11127.15 4d 4F7/2 — 6f [4]7/2°
8985.32 1 11126.21 4d 4F7/2 — 6f [4]9/2°
8995.21 50 11113.98 5p 4S3/2° — 5d′ 2P1/2
9000.99 2h 11106.84 4d 4F7/2 — 6f [3]7/2,5/2°
9005.20 50h 11101.65 5p 2P3/2° — 8s 4P3/2
9012.23 20 11092.99 5p 2P3/2° — 8s 4P5/2
9029.94 300 11071.23 5p  4D5/2° — 5d 4D7/2
9045.06 40 11052.72 5p′  2D3/2° — 6d 4D1/2
9066.28 400 11026.86 5p  4D3/2° — 5d 4F3/2
9078.64 700 11011.84 5p  4D3/2° — 5d 4F5/2
9079.29 125 11011.05 5p  4D3/2° — 5d 4P1/2
9084.29 25 11004.99 4d 4F5/2 — 9p  4D3/2°
9086.80 100 11001.95 5p′  4D1/2° — 6d 4D3/2
9107.37 10 10977.11 4d′ 4F5/2 — 5f″ [3]7/2°
9123.17 50 10958.09 4d 4F9/2 — 4f′ [3]7/2°
9126.14 4 10954.53 4d 4F5/2 — 9p  4D5/2°
9129.31 70 10950.72 4d 4F9/2 — 8p  4D7/2°
9147.04 75h 10929.50 5p 2P1/2° — 8s 4P3/2
9166.06 30000 10906.82 5s 4P3/2 — 8s  4P1/2°
9173.63 15000 10897.82 5s2P1/2 — 5p″  2P1/2°
9178.16 20000 10892.44 5s2P3/2 — 5p 2S1/2°
9183.14 30 10886.53 {4d4F3/27p2S1/2°4d2P1/25f[2]3/2°
9197.16 50 10869.94 5p 2P3/2° — 5d′ 4F5/2
9201.21 80w 10865.15 4d 4D1/2 — 5f [1]3/2°
9201.78 80 10864.48 4d 4D1/2 — 5f [1]1/2°
9202.47 80 10863.67 5p 4D1/2° — 6d 4D1/2
9220.56 200 10842.35 4d 4D1/2 — 5f [2]3/2°
9221.19 35 10841.61 5p 2P3/2° — 5d′ 4P3/2
9226.57 15 10835.29 4d 4F3/2 — 9p 4D3/2°
9254.06 70 10803.10 4d 4P1/2 — 6f [1]3/2°
9254.39 30 10802.72 4d 4P1/2 — 6f [1]1/2°
9265.42 40000 10789.86 5s 4P3/2 — 5p  4D5/2°
9282.80 100 10769.66 5p 2S3/2° — 6d 4D5/2
9287.82 2 10763.84 5p 2P3/2° — 5d′ 2P3/2
9288.52 200 10763.02 5p  4P5/2° — 6s′ 2P3/2
9314.85 30 10732.60 5p 2P3/2° — 6d′ 4P1/2
9320.86 15000 10725.68 5s2P1/2 — 5p″  2P3/2°
9325.32 20 10720.55 5p 2P3/2° — 6d 4F3/2
9352.55 175 10689.34 5p 4S3/2° — 6d 4D3/2
9354.56 15 10687.04 4d 4D5/2 — 6p″  2P3/2°
9369.94 100 10669.50 5p 2P1/2° — 5d′ 4P3/2
9378.84 1 10659.37 4d′ 2F7/2 — 5f′ [3]5/2°
9379.21 30 10658.95 4d′ 2F7/2 — 5f′ [3]7/2°
9399.55 5 10635.89 4d′ 2F7/2 — 5f′ [4]7/2°
9400.19 90 10635.17 4d′ 2F7/2 — 5f′ [4]9/2°
9409.56 20 10624.57 4d 4D7/2 — 7p  4D5/2°
9428.58 3 10603.14 6s 4P5/2 — 7p′  4S3/2°
9434.51 3 10596.48 5p 2P3/2° — 5d′ 2P1/2
9438.20 80 10592.33 4d 4D7/2 — 7p  4D7/2°
9460.14 500d 10567.77 5p  4P3/2° — 6s′ 4P1/2
9466.45 2w 10560.73 4d 4F5/2 — 6f [1]3/2°
9470.67 20h 10556.02 4d 4F5/2 — 4f″ [3]7/2°
9475.11 80 10551.07 5p 4S3/2° — 6d 4D1/2
9476.32 30 10549.73 4d 4F5/2 — 6f [2]5/2°
9477.50 60 10548.41 5p 2P1/2° — 6d 4F3/2
9488.66 120 10536.01 4d 4F5/2 — 6f [4]7/2°
9495.30 50 10528.64 5p  4D3/2° — 5d 4D1/2
9498.32 20 10525.29 4d 4D5/2 — 5d  4D3/2°
9503.78 6w 10519.24 5p  4P5/2° — 4d″ 2D3/2
9507.03 75 10515.65 4d 4F5/2 — 6f [3]7/2,5/2°
9517.27 100 10504.33 4d 4D7/2 — 7p  4P5/2°
9543.03 40 10475.98 4d 4F7/2 — 8p  4D5/2°
9552.67 175 10465.41 5p  4P1/2° — 6s″ 2P1/2
9556.43 2h 10461.29 4d 4F7/2 — 4f′ [3]5/2°
9560.17 6 10457.20 4d 4F7/2 — 8p  4D7/2°
9576.17 1 10439.72 4d′ 2P3/2 — 5f′ [3]5/2°
9588.61 300 10426.18 5p  4P3/2° — 6s′ 2P3/2
9590.33 20 10424.31 5p″  2P1/2° — 5d′ 2P1/2
9597.98 2 10416.00 4d 2F7/2 — 4f′ [4]7/2°
9598.79 60 10415.12 4d 2F7/2 — 4f′ [4]9/2°
9603.62 35 10409.89 4d′ 2P3/2 — 5f′ [2]5/2°
9604.30 6 10409.15 4d′ 2P3/2 — 5f′ [2]3/2°
9605.34 1 10408.02 4d 4F7/2 — 8p  4P5/2°
9621.02 35h 10391.06 4d 4F3/2 — 6f [1]3/2°
9623.33 15 10388.56 5p  4D3/2° — 5d 4D3/2
9625.17 8 10386.58 4d 4F3/2 — 4f″ [3]5/2°
9627.54 4 10384.02 6s 4P5/2 — 5d  4D7/2°
9631.30 60 10379.97 4d 4F3/2 — 6f [2]5/2°
9635.05 20 10375.93 4d 4D5/2 — 7p  4D7/2°
9661.08 1 10347.97 6s 4P5/2 — 9p  4P5/2°
9662.99 20 10345.93 4d 4F3/2 — 6f [3]5/2°
9710.68 12 10295.12 4d′ 4F5/2 — 5f′ [3]5/2°
9717.48 40 10287.91 4d 4D5/2 — 7p  4P5/2°
9719.20 600 10286.09 4d 4F9/2 — 5f [5]11/2°
9725.42 40 10279.51 4d 4D5/2 — 7p  4P3/2°
9731.76 350 10272.82 5p  4P5/2° — 4d″ 2D5/2
9732.90 50 10271.61 4d4F5/2 — 5f[4]7/2°
9740.41 15 10263.69 4d 4F9/2 — 5f [3]7/2°
9745.86 100 10257.95 4d 4F9/2 — 5f [4]9/2°
9751.45 90 10252.07 5p″  2P3/2° — 6d 4D5/2
9793.48 6000 10208.08 5s″ 2P1/2 — 5p′  4S3/2°
9810.67 60 10190.19 5p  4D3/2° — 5d 4D5/2
9818.04
9818.21
}6070 10182.54
10182.36
}5p4P3/2°4d2D3/2
9828.40 15 10171.81 5p″  2P3/2° — 6d 4D3/2
9831.25 2 10168.86 4d 4P1/2 — 8p  4P1/2°
9844.17 7 10155.51 4d 4D3/2 — 7p  4D3/2°
9864.95 2 10134.12 4d 4D3/2 — 7p  4P1/2°
9896.40 10000 10101.91 5s 4P3/2 — 5p  4P3/2°
9943.85
9944.18
}250250 10053.71
10053.38
}( 1D2)5s2D5/2( 1D2)6p4D3/2°
9945.22 1 10052.33 4d 4P1/2 — 4f′ [2]3/2°
9959.04 1 10038.38 4d 4D3/2 — 7p  4D5/2°
9961.92
9962.13
}2030 10035.47
10035.26
}( 1D2)5s2D3/2( 1D2)6p4D3/2°
9963.89 1 10033.49 5p″  2P3/2° — 6d 4D1/2
10001.96 10 9995.30 4d 4F5/2 — 7p  4D3/2°
10025.23 4h 9972.10 6s 4P5/2 — 6f [4]7/2°
10045.71 3h 9951.77 6s 4P5/2 — 6f [3]7/2,5/2°
10056.87 15 9940.73 4d′ 4P3/2 — 5f′ [3]5/2°
10061.53
10061.68
}2525 9936.12
9935.97
}5p4P3/2°4d2D5/2
10079.75 10 9918.16 4d 4D3/2 — 7p  4P5/2°
10085.99 35 9912.03 (1D2)5s 2D3/2 — 6p  4D5/2°
10087.94 1 9910.11 4d′ 4P3/2 — 5f′ [2]3/2°
10088.31 10 9909.75 4d 4D3/2 — 7p  4P3/2°
10102.82 12 9895.51 5s″ 2P1/2 — 5d′  4D1/2°
10107.60
10107.86
}100150 9890.83
9890.58
}( 1D2)5s2D3/26p4P1/2°
10113.74 2 9884.83 4d 4F5/2 — 8p  4D5/2°
10119.19 3 9879.51 4d 4D1/2 — 6p″  2P1/2°
10128.79 4 9870.14 4d 4F5/2 — 4f′ [3]5/2°
10133.00 5 9866.04 4d 4F5/2 — 8p  4D7/2°
10140.08 3000 9859.15 5s′ 4P1/2 — 5p  4D3/2°
10174.75 12 9825.56 4d 4F3/2 — 8p  4D3/2°
10175.47 20 9824.86 4d 4F5/2 — 4f′ [4]7/2°
10184.02
10184.49
}300200 9816.61
9816.16
}5p4P3/2°4s4p62S1/2
10197.61 18 9803.53 4d 4D7/2 — 6p′  2D5/2°
10208.91 300 9792.68 4d 4F7/2 — 5f [5]9/2°
10225.23 1 9777.05 4d′ 2F5/2 — 7p″  2P3/2°
10231.61 8 9770.95 4d 4D5/2 — 6p′  4S3/2°
10232.39 15 9770.21 4d 4F7/2 — 5f [3]7/2,5/2°
10237.14 75 9765.68 4d 4F7/2 — 5f [4]7/2°
10237.74 6000 9765.10 5s 4P3/2 — 5p  4P5/2°
10243.31 3 9759.79 4d 4D1/2 — 7p  4D3/2°
10248.27 3 9755.07 4d″ 2D5/2 — 5f″ [3]7/2°
10265.89 15h 9738.33 5p  4D5/2° — 6s2P3/2
10293.23 1 9712.46 4d′ 4P5/2 — 5f′ [3]5/2°
10293.65 50 9712.07 4d′ 4P5/2 — 5f′ [3]7/2°
10299.62 1000 9706.44 5s″ 2P1/2 — 5p′  2D3/2°
10305.99 10 9700.44 4d 4F3/2 — 4f′ [3]5/2°
10310.62
10310.92
}600s700 9696.08
9695.80
}( 1D2)5s2D5/26p4P3/2°
10312.90 40 9693.94 5p′  2S1/2° — 5d 4F3/2
10314.03 8 9692.87 4d 4D5/2 — 6p′  2D3/2°
10320.09 15 967.18 4d 4F3/2 — 8p  4P3/2°
10324.96 3 9682.61 4d′ 4P5/2 — 5f′ [2]5/2°
10329.74
10330.17
}80s100 9678.13
9677.73
}( 1D2)5s2D3/26p4P3/2°
10370.29 1 9640.29 4d 4F3/2 — 4f′ [2]3/2°
10374.37 12cw 9636.50 (1D2)5s 2D3/2 — 6p  4P5/2°
10377.65 1500 9633.45 5p  4P5/2° — 4d′ 4P5/2
10384.15 2 9627.42 4d 4F3/2 — 4f′  2S1/2°
10388.40 1 9623.48 4d  2D5/2° — 7s 4P5/2
10390.74 175 9621.32 5p  4P1/2° — 6s′ 4P3/2
10414.97
10415.10
}88 9598.939598.81} 5p′  2D3/2° — 7s 4P3/2
10457.96 30000 9559.47 5p 2P3/2 — 5p  4D3/2°
10483.35 8 9530.32 5p  4D3/2° — 6s″ 2P½
10505.05 8 9516.62 4d 2D3/2 — 6p′  4D1/2°
10507.91 12 9514.03 4d″ 4D1/2 — 7p  4P3/2°
10513.67 1 9508.82 4d″ 2D3/2 — 5f″ [3]5/2°
 10529.4010529.58} 3
3
9494.62
9494.45
}5p4D5/2°4d2D3/2
10554.72 1 9471.84
10566.15 250 9461.59 4d 4P1/2 — 5f [1]3/2°
10566.87 100 9460.95 4d 4P1/2 — 5f [1]1/2°
10560.67 2d 9458.44 5p′  2D3/2° — 7s 2P5/2
10591.51 10w 9438.94 4d 4D7/2 — (1D2) 5p  2D5/2°
10599.94 1 9431.43 6s 4P5/2 — 8p  4D3/2°
10608.66 40 9423.68 5p  4D7/2° — 4d″ 2D5/2
10616.31 1 9416.89
10619.65 1 9413.93 4d′ 4P3/2 — 7p″  2P1/2°
10624.34 1 9409.77 5p′  4D1/2° — 7s 4P3/2
10629.45 18 9405.25 5p  4P5/2° — 4d′ 4P3/2
10634.08 1 9401.15 4d 4D3/2 — 6p′  4S3/2°
10638.82 15 9396.96 4d′ 2F7/2 — 7p′  2D5/2°
10660.80 3 9377.59 5d  2P1/2° — 4d″ 2D3/2
10694.91 12 9347.68 4d 4D7/2 — 4f [5]9/2°
10718.84 100 9326.81 4d 4D7/2 — 4f [2]5/2°
10723.10 15 9323.11 4d 4D3/2—6p′  2D3/2°
10742.14 1000 9306.58 4d 4D7/2—4f [3]7/2°
10742.48 100 9306.29 {6s4P5/24f[3]5/2°4d4D7/24f[3]5/2°
10747.20 20 9302.20 6s 4P5/2—8p  4D7/2°
10753.58 150 9296.68 5p  4P3/2°—4d′ 4P5/2
10754.13 200 9296.21 4d 4D7/2—4f [4]7/2°
10755.92 3000 9294.66 4d 4D7/2—4f [4]7/2°
10757.77 6 9293.06 6s 4P5/2—8p  4P3/2°
10794.92 }105 9261.08 } 6s 4P5/2—4f[4]7/2°
10795.10 9260.93
10798.09 25 9258.36 5p 2D5/2°—5d 4F3/2
10804.40 3 9252.95 6s 4P5/2— 8p  4P5/2°
10810.05 300 9248.12 5p  4D5/2°—4d″ 2D5/2
10811.47 1w 9246.90 6s 4P5/2—4f[2]5/2°
10815.65 6 9243.33 5p′  2D5/2°—5d 4F5/2
10840.05 500d 9222.52 4d 4D5/2—(1D2) 5p  2D5/2°
10843.86 2w 9219.28 4d 4F5/2—5f [1]3/2°
10846.12 10 9217.36 4d 4D3/2—6p′  2D5/2°
10869.70 100 9197.37 4d 4F5/2—5f [2]5/2°
10871.62 90 9195.74 5p′  2S1/2°—5d 4D1/2
10891.43 250 9179.02 4d 4F5/2—5f [3]7/2,5/2°
10892.79 100 9177.87 4d4D5/2—(1D2)5p  2D3/2°
10896.79 200 9174.50 4d 4F5/2— 5f [4]7/2°
10908.62 60d 9164.55 4d 4D5/2—4f [1]3/2°
10947.50 1 9132.00 4d2P1/2—6f [1]3/2°
10947.89 1 9131.68 4d2P1/2—6f [1]1/2°
10960.83 2 w 9120.90 4d 4D1/2—6p 4D1/2°
10961.30 3 9120.51 4d2P1/2— 6f [2]3/2°
10973.48 500 9110.38 4d 4D5/2—4f [2]5/2°
10979.00 300 9105.80 5s2P1/2—5p 2S1/2°
10982.30 100 9103.07 4d 4D5/2—4f [2]3/2°
10989.51 1 9097.10 5p′  4S3/2°—7s 4P3/2
10991.12 2 9095.76 4d2F5/2—7p′  2D3/2°
10997.85 600 9090.20 4d 4D5/2—4f [3]7/2°
10998.28 400 9089.84 4d 4D5/2—4f [3]5/2°
11007.42 10 9082.29 4d 4D3/2—6p′  2S1/2°
11010.45 600 9079.79 4d 4D5/2—4f [4]7/2°
11012.31 5 9078.26 5p′  2D3/2°—5d 4F5/2
11013.22 20 9077.51 5p 2D3/2°—5d 4P1/2
11018.55 1 9073.12 4d2D5/2—5f[3]5/2°
11024.25 10 9068.43 5p  4P3/2°—4d4P3/2
11039.80 60 9055.66 5p  2S1/2°—5d 4D3/2
11045.74 800d 9050.79 5p  4P5/2°—4d2F5/2
11047.21 10 9049.58 {4d4F3/25f[1]3/2°4d2D5/25f[4]7/2°
11047.62 17 9049.25 4d 4F9/2—7p  4D7/2°
11074.08 40 9027.62 4d 4F3/2—5f [2]5/2°
11093.51 }250100 9011.81 } 5p  4P1/2°—4s4p6 2S1/2
11094.24 9011.22
11096.59 20 9009.31 4d 4F3/2—5f [3]5/2°
11100.65 1 9006.02 6s 4P3/2—8p  4D3/2°
11101.36 1 9005.44 4d 4D1/2—6p′  4S3/2°
11161.72 1w 8956.74 5p′  4S3/2°—7s 4P5/2
11194.99 100 8930.12 5s4P1/2—5p  4P1/2°
11197.14 3 8928.41 5p 2D5/2°—5d 4F7/2
11225.08 250 8906.18 5p  4P5/2°4d′ 2P3/2
11247.50 2 8888.43 5p 4D1/2°—5d 4P1/2
11292.69 2 8852.86 4d 4D3/2—(1D2)5p  2D5/2°
11316.93 10w (8) 8833.90 5p  4D3/2°—6s′ 4P1/2
11325.97 1 (−) 8826.85
11350.04 65 (27) 8808.13 4d 4D3/2—(1D2)5p  2D3/2°
11367.25 4w (7) {8794.798794.24 4d 4D3/2—4f [1]3/2°
11367.97 4w 4d 4D3/2—4f [1]1/2°
11437.61 9 (11) 8740.69 4d 4D3/2—4f [2]5/2°
11447.27 18 (36) 8733.32 4d 4D3/2—4f [2]3/2°
11464.58 35 (100) 8720.13 4d 4D3/2—4f [3]5/2°
11501.31 1 (m) 8692.28 5p  4D3/2°—6s′ 2P3/2
11508.77 30 (85) 8686.65 4d 4D1/2—6p 2S1/2°
11583.71 10 (8) 8630.45 5s2P3/2—5p  4P1/2°
11597.64 1 (4) 8620.08 5p′  2D5/2°—5d 4D3/2
11631.33 2 (2) 8595.12 5p  2D3/2°—5d 4D1/2
11636.08 1 (−) 8591.61 5p 4S3/2°—5d 4F3/2
11640.94 1 (10) 8588.02 4d 4F7/2—7p  4D5/2°
11666.20 20d (169) 8569.43 5p  4P3/2°—4d2P3/2
11742.85 400 (219) 8513.49 5s2P3/2 5p  4D5/2°
11810.29 1 (1) 8464.88 4d′ 2F5/2—6f [3]7/2,5/2°
11819.40 2 (−) 8458.35
11833.14 1 (−) 8448.53 5p  4D3/2°—4d″ 2D3/2
11870.77 4 (5) 8421.75 5p 2D5/2°—5d 4D5/2
11883.95 4 (6) 8412.41 4d 4D1/2—(1D2)5p  2D3/2°
11902.79 5 (19) 8399.09 4d 4D1/2—4f [1]3/2°
11903.61 8 (16) 8398.51 4d 4D1/2—4f [1]1/2°
11928.11 8 (13) 8381.26 4d′ 2P1/2—4f[2]3/2°
11990.57 15 (38) 8337.61 4d 4D1/2—4f [2]3/2°
12088.15 2 (−) 8270.30
12285.57 2 (m) 8137.40 4d2F7/2—4f[4]9/2°
12303.89 35 (275) 8125.29 5s4P1/2— 5p  4P3/2°
12354.43 1 (40) 8092.05 5p  4P3/2° 4d′ 2P1/2
12368.95 1 w(170) 8082.55 5p  4D3/2°—4s4p6 2S1/2
12809.50 1 (400) 7804.57 4d 4F9/2—4f [5]11/2°
a

λ4000.599 If this line itself is not of molecular origin, it is probably the blended hfs components of shorter wavelength for this transition, the long wavelength component having been lost in the molecular background.

b

λλ4446.08, 4654.18, 6531.39. There are Cl lines of almost these same wavelengths.

c

λ5905.66 This line appears to be the long wavelength hfs component of this transition, the other components having been obscured by the wing of the adjacent line.

d

λ6151.10 Blended with ghost of adjacent strong line.

e

λ7617.82 The transition 5p2D3/2°7d4D3/2 probably contributes to this component.

Table A3.

Lines of Br I observed radiometrically

Computed wavelength Intensity Computed wave number Classification
Å K
11806.31 1 8467.73 4d 4F7/2—7p  4P5/2°
12094.54 3 8265.93 5p 4D1/2°—5d 4D3/2
12108.09 } 14 {8256.688256.63 5p 2D5/2°—5d 4D7/2
12108.16 5p 2D3/2°—5d 4D5/2
12303.93 275 8125.26 5s4P1/2—5p  4P3/2°
12354.56 40 8091.96 5p  4P3/2°—4d′2P1/2
12368.99 170 8082.52 5p  4D3/2°—4s4p6 2S1/2
12513.40 20 7989.25 5p  4P5/2°—6s 4P3/2
12647.55 10 7904.51 4d2P3/2—4f[2]5/2°
12755.94 60 7837.34 5p  4D7/2°—4d′2F7/2
12809.50 400 7804.57 4d 4F9/2—4f [5]11/2°
12859.77 30 7774.06 4d′ 2F5/2—4f[4]7/2°
12861.74 30 7772.87 5s2P1/2—5p  4D3/2°
12897.12 48 7751.55 4d 4F9/2—4f [4]9/2°
13048.21 38 7661.79 5p  4D5/2°—4d′′ 2F7/2
13064.15 110 7652.44 5p  4P3/2°—6s 4P3/2
13217.17 1700 7563.85 5p  4P5/2°—6s 4P5/2
13328.04 10 7500.93 5p 2S1/2°—6s4P1/2
13349.73 36 7488.74 5s2P3/2—5p  4P5/2°
13392.33 20 7464.92 4d4P3/2—4f[3]5/2°
13484.87 9 7413.69 5p 4D1/2°—6s2P1/2
13584.48 30 7359.33 5p 2S1/2°—6s2P3/2
13674.13 300 7311.08 4d 4F7/2—4f [5]9/2°
13808.19 } 23 { 7240.107239.96 6p  4P1/2°—10s 4P3/2
13808.45 4d′4P5/2—4f[3]7/2°
13821.95 } 9 {7232.897232.837232.57 4d 4D1/2—(1D2)5p  2P3/2°
13822.07 6p  4D7/2°—10s 4P5/2
13822.56 4d4P5/2—8p  4D7/2°
13833.14 750 7227.04 5p  4P3/2°—6s 4P5/2
14078.51 10 7101.08 5p 4S3/2°—6s2P1/2
14290.98 } 68 {6995.516994.91 4d 4P1/2—4f [1]3/2°
14292.20 4d 4P1/2—4f [1]1/2°
14354.57 1800 6964.52 5p  4D5/2°—6s 4P3/2
14439.14 344 6923.73 5p 2D5/2°—6s2P3/2
14488.21 105 6900.28 5p 2D3/2°—6s4P1/2
14599.73 338 6847.57 5p  4P1/2°—6s 4P3/2
14607.80 21 6843.79 5s2P1/2—5p  4P1/2°
14888.70 1250 6714.67 5p  4D7/2°—6s 4P5/2
14896.37 55 6711.21 5p 4D1/2°—6s4P1/2
14923.43 12 6699.04 4d 4F5/2—4f [2]5/2°
14968.61 } 85 {6678.826678.50 4d 4F5/2—4f [3]7/2°
14969.33 4d 4F5/2—4f [3]5/2°
14991.94 89 6668.43 4d 4F5/2—4f [4]7/2°
15003.82 35 6663.15 5p  4P3/2°—4d 4F5/2
15052.95 10 6641.40 4d 4F3/2—(1D2)5p  2D5/2°
15146.09 30 6600.56 4d2D5/2—4f[3]7/2°
15185.29 } 188 {6583.526583.466582.86 5p 2P3/2°—6s2P1/2
15185.43 4d 4F3/2—4f [1]1/2°
15186.82 4d 4F3/2—4f [1]1/2°
15258.39 10 6551.98 4d2D5/2—4f[4]7/2°
15311.39 63 6529.30 4d 4F3/2—4f [2]5/2°
15359.71 22 6508.76 4d 4F3/2—4f [3]5/2°
15422.36 28 6482.32 4d 4D7/2—6p  4P5/2°
15539.25 3 6433.56 5p 2D5/2°—4d2D5/2
15570.03 219 6420.84 5p  4P3/2°—4d 4P1/2
15593.01 37 6411.38 5p 2P1/2°—6s2P1/2
15599.33 18 6408.78 5p  4P5/2°—4d 4F7/2
15624.15 } 24 {6398.606398.47 5p 4S3/2°—6s4P1/2
15624.47 6p  4D7/2°—9s 4P5/2
15804.98 7 6325.39 4d 4D5/2—6p  4P3/2°
15890.32 2 6291.42 4d2D3/2—4f[2]5/2°
15948.40 20 6268.51 5p 2D3/2°—4d2D5/2
15955.01 8 6265.91 4d 4D5/2—6p  4P5/2°
15977.73 47 6257.00 5p 4S3/2°—6s2P3/2
16253.66 90 6150.78 5p  4D7/2°—4d 4F5/2
16584.66 250 6028.02 5p  4P1/2°—4d 4F3/2
16625.37 10 6013.26 5p 4S3/2°—4d2D3/2
16657.89 10 6001.52 5p 2S1/2°—4d4P3/2
16731.19 1800 5975.23 5p 4D5/2°—4d 4F5/2
17254.05 105 5794.16 5p 2D5/2°—4d4P5/2
17335.81 25 5766.83 5p 4S3/2°—4d″ 2D5/2
17801.50 330 5615.97 5p  4P1/2°—4d 4P1/2
17982.00 40 5559.60 5p  4D7/2°—4d 4F7/2
18191.08 60 5495.70 5p 2P3/2°—4d2D3/2
18212.72 10 5489.17 4d′ 2F7/2—6p 2D5/2°
18510.48 180 5400.87 5p 2D3/2°—4d′ 4P3/2
18568.31 500 5384.05 5p  4D5/2°—4d 4F7/2
18779.29 313 5323.56 5p 2P1/2°—4d2D3/2
19045.07 547 5249.27 5p 2P3/2°—4d″ 2D5/2
19181.99 } 266 {5211.80 5211.48 5p 4D1/2°—4d′ 4P3/2
19183.17 5p 2D5/2°—4d2F5/2
19317.02 120 5175.37 4d 4F9/2—6p  4D7/2°
19497.62 313 5127.43 5p 4S3/2°—4d4P5/2
19606.57 263 5098.94 5p  4D3/2°—4d 4F3/2
19733.62 3450 5066.11 5p  4D7/2°—4d 4F9/2
19810.58 452 5046.43 5p 2D3/2°—4d2F5/2
19894.71 68 5025.09 5p 2S1/2°—4dr 2P1/2
19925.72 138 5017.27 5p  4P3/2°—4d 4D1/2
20073.55 7 4980.32 4d2F7/2—4f [4]9/2°
20162.50 138 4958.35 5p  4P5/2°—4d 4D3/2
20248.38 8 4937.32 (1D2)5p  2F5/2°—(1D2)4d 2G7/2
20281.73 500 4929.20 5p  4D3/2°—4d 4F5/2
20405.97 7 4899.19 5p 4S3/2°—4d4P3/2
20624.67 547 4847.24 5p 2D5/2°—4d2F7/2
21093.83 43 4739.43 4d 4F7/2—6p  4D5/2°
21213.11 14 4712.78 5p 4D1/2°—4d2P3/2
21285.74 17 4696.70 (1D2)5p  2F7/2°—(1D2)4d 2G9/2
21330.29 37 4686.89 5p  4D3/2°—4d 4P1/2
21631.91 359 4621.54 5p  4P3/2°—4d 4D3/2
21743.98 14 4597.72 6s 4P3/2—(1D2)5p  2P3/2°
21787.24 469 4588.59 5p  4P5/2°—4d 4D5/2
21801.59 6 4585.57 5p 2S1/2°—6s 4P3/2
22720.19 60 4400.17 5p 4S3/2°—4d2P3/2
22865.65 950 4372.18 5p  4P5/2°—4d 4D7/2
23404.15 12 4271.58 4d 4F5/2—6p  4D3/2°
23513.15 206 4251.78 5p  4P3/2°—4d 4D5/2
23732.96 40 4212.40 5p  4P1/2°—4d 4D1/2
24099.97 2 4148.25 4d 4F5/2—6p  4D5/2°

Footnotes

1

Figures in brackets indicato the literature references at the end of this paper.

2

Throughout this paper we use the name kayser, with symbol K, for the unit of wave number cm−1.

3

15730.1 Å. This is the only impurity line found on the tracings; it occurred with intensity 5 on our scale. According to the recent work of Humphreys and Paul [13], it is the second strongest Cl line in the region studied. The strongest Cl line, at 15869.7 Å, was masked by a Br line of another order.

4

These electrostatic expressions differ by a constant amount from those given on p. 199 in TAS, which are not entirely correct. See footnote on page 102 of reference [22].

5
The difficulty rests on the fact that three pairs of real odd levels in Br I have almost the same separation, equal to the above difference Δ. They are
( 3P2)7p 4D3/2°89786.2( 3P2)4f[2]3/2°88364.0=1422.2K( 1D2)5p 2D5/2°88483.4( 1D2)5p 2F5/2°87061.2=1422.2K( 3P0)6p 2P1/2°89905.9( 1D2)5p 2D5/2°88483.4=1422.5K
Owing to the appearance of the 88483.4 level in two of the pairs, the line at 7950.2 Å falls at a “junction” in Kiess and de Bruin’s system, so that it could be, and indeed was, classified twice by them. The entire puzzle is compounded by the fact that the real pairs of levels,
( 3P0)5s2P1/268970.2( 3P1)5s2P3/267183.6=1786.6K( 3P1)6p2D5/2°88848.0( 1D2)5p2F5/2°87061.2=1786.8K,
have separations almost equal to Δ= 1422.2 added to the separation
( 3P1)6p 2D5/2°88848.0( 1D2)5p 2D5/2°88483.4=364.6.
6

Two typographical errors appear in those matrices: In the J=3/2 matrix the off-diagonal (ζp/2) element should connect the levels based on the (3P2) — (1D2) parents rather than (3P1) — (1D2), which should be zero. Further, the coefficient of G1 in the diagonal element for the J = 1/2 level based on (3P1) should be 2/3 rather than 1/3.

7

It should also be mentioned that a factor of 2/3 is missing from this equation in Slater’s work, Vol. II, p. 266.

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