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Solar Coronal Lines in the Visible and Infrared: A Rough Guide

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Published 2018 January 5 © 2018. The American Astronomical Society. All rights reserved.
, , Citation Giulio Del Zanna and Edward E. DeLuca 2018 ApJ 852 52 DOI 10.3847/1538-4357/aa9edf

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0004-637X/852/1/52

Abstract

We review the coronal visible and infrared lines, collecting previous observations and comparing, whenever available, observed radiances to those predicted by various models: the quiet Sun (QS), a moderately active Sun, and an active region as observed near the limb, around 1.1 R. We also model the off-limb radiances for the QS case. We used the most up-to-date atomic data in CHIANTI version 8. The comparison is satisfactory, in that all of the strong visible lines now have a firm identification. We revise several previous identifications and suggest some new ones. We also list the large number of observed lines for which we do not currently have atomic data, and therefore still await firm identifications. We also show that a significant number of coronal lines should be observable in the near-infrared region of the spectrum by the upcoming Daniel K. Inouye Solar Telescope (DKIST) and the AIR-Spec instrument, which observed the corona during the 2017 August 21 solar eclipse. We also briefly discuss the many potential spectroscopic diagnostics available to the visible and infrared, with particular emphasis on measurements of electron densities and chemical abundances. We briefly point out some of the potential diagnostics that could be available with the future infrared instrumentation that is being built for DKIST and planned for the Coronal Solar Magnetism Observatory. Finally, we highlight the need for further improvements in the atomic data.

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1. Introduction

Within the solar community, there is currently renewed interest in the coronal forbidden lines in the visible and infrared, partly because several breakthrough observations are forthcoming. For example, the Daniel K. Inouye Solar Telescope (DKIST, see Rimmele et al. 2015), formerly known as ATST (Keil et al. 2003), will carry out groundbreaking observations of the solar corona, using its 4 m telescope on Haleakala, Maui with two dedicated coronagraphs. It will begin operations in 2019 and carry out routine daily observations up to 1.5 R in selected wavelength regions between about 5000 Å and 5 μm via the CryoNIRSP spectropolarimeter (Fehlmann et al. 2016). In its coronagraphic mode, the instrument will have a resolution of 30,000, a spatial resolution of 0farcs5, and a field of view (FOV) of 4' × 3', equivalent to the size of an active region (AR). The FOV will be scanned with high cadence using a multislit. In addition, global-scale coronal magnetic field measurements are the focus of the proposed Coronal Solar Magnetism Observatory (COSMO); see Tomczyk et al. (2016).

The longer wavelengths of the infrared spectral region are still largely unexplored, but there is a lot of interest in this spectral region. In the near future, several new observations, aside from DKIST, will become available. For example, the airborne infrared spectrometer (AIR-Spec), described by DeLuca et al. (2016), was built to carry out observations in the infrared during the 2017 August 21 solar eclipse, onboard a high-altitude airplane. The instrument was designed to observe four spectral regions (2.82–3.07 μm and 3.74–3.98 μm in first order), and five coronal lines: Si x 1.43 μm, S xi 1.92 μm, Fe ix 2.86 μm, Mg viii 3.03 μm, and Si ix 3.93 μm. Preliminary analysis (J. Samra 2017, private communication) suggests that all of the lines were successfully observed.

One might ask: what could observations of the coronal visible and infrared lines provide, given the abundance of current EUV and UV observations?

The importance of the infrared observations for measuring the coronal magnetic field has been recognized for a long time; see, e.g., the Living Review by Penn (2014). Judge (1998) carried out simulations to predict which of the visible and infrared coronal lines should be observable, with an emphasis on the infrared ones that could be used to measure magnetic fields. Judge et al. (2013) discussed some specific issues related to DKIST.

The forbidden lines are also useful for many other diagnostics, aside from the potential to measure coronal magnetic fields. For example, plasma flows and line widths can be measured with an accuracy far superior to that of any other wavelength. There is an extended literature on the non-thermal widths of the lines, which in principle provide important constraints to coronal heating theories.

Another example concerns the possibility to provide direct measurements of electron temperatures and constrain for the presence of non-Maxwellian electron distributions (Dudík et al. 2014), when combined with measurements in the UV or EUV. Such diagnostics have been attempted in the EUV (Dudík et al. 2015), but are very difficult.

For a general review on the diagnostic potential of the forbidden lines from ground-based observations, see Landi et al. (2016). In their review, future ground-based instrumentation is also briefly presented, with emphasis on UCoMP and COSMO. UCoMP is an upgraded version of the Coronal Multichannel Polarimeter (CoMP) instrument described by Tomczyk et al. (2008). UCoMP will be a pathfinder for a Large 1.5 m refractive Coronagraph (LC), which is currently in its advanced planning phase and forms part of a suite of ground-based telescopes, COSMO, that will be built to study the outer corona. The current design of the COSMO LC calls for a tunable filter focal plane instrument operating between 500 and 1100 nm. The baseline covers cool CME core lines (H i, He i, Ca ii, O ii, O iii, and Fe iv), hot lines (Fe xiv, Fe xv, S xii, Ar xiii, and Ca xv) and lines in the quiescent corona (Fe x, Fe xi, Fe xiii, Fe xiv, Ar x, and Ar xi). The spatial resolution of COSMO LC is 2'', and the FOV covers a full degree. We can see that it will be an excellent complement to DKIST, providing a high magnetic sensitivity (1G), temperature coverage, and global coronal coverage.

In the present paper, we limit our discussion to diagnostic techniques of line intensity ratios, which can be used to measure the electron density and relative elemental abundances.

As already pointed out by Woolley & Allen (1948), the visible lines allow a direct measurement of the absolute (i.e., relative to hydrogen) values of the chemical abundances, by comparing line radiances with the continuum.

It is well-known that coronal abundances can be different from the photospheric ones, and that correlations exist between the abundance of an element and its first ionization potential (FIP). The low-FIP (≤10 eV) elements are more abundant than the high-FIP ones, relative to their photospheric values. See, e.g., the Living Review by Laming (2015). The FIP effect is now considered an important issue because it can help to trace the in situ solar wind measurements to the source regions, an important topic for the upcoming Solar Orbiter (to be launched in early 2019), which will measure elemental abundances with both in situ and remote-sensing instruments. Relative abundances are comparatively easier to measure and there are plenty of observations in the X-ray, EUV, and UV. Absolute values are harder to obtain, and the literature contains plenty of contradictory results. In fact, there is no strong consensus whether low-FIP elements are over-abundant, or the high-FIP ones are depleted, compared to the photospheric values. There are SOHO SUMER and UVCS measurements relative to hydrogen lines, but a direct measurement against the continuum is only available in the X-rays during flares. Therefore, line-to-continuum measurements of the forbidden lines in the visible and infrared have a potential to resolve these issues, although we should point out that an instrument such as DKIST will only measure the polarized component of the continuum, and not the total continuum.

Aside from all the above diagnostic possibilities, the forbidden lines are also very useful just to trace the open and closed structures in the outer corona. The forbidden lines are very sensitive to photoexcitation of the disk brightness, at the low densities of the outer corona. Therefore, their intensities are closer to being proportional to the electron density, rather than the square, as is the case for the strong dipole-allowed lines in the EUV. This means that the intensities of the forbidden lines decrease with the radial distance more slowly than those of the EUV lines—and hence they show the outer corona to larger distances.

Comparisons of coronal emission lines in the EUV and Vis/IR show enhanced radiative contributions in the visible/IR forbidden lines (Habbal et al. 2010, 2011). Habbal's work used narrow-band filters centered on and off strong emission lines, allowing the continuum contribution to be isolated from the line contribution. Narrow-band imaging allows for the exploration of the whole corona during each eclipse observation. The success of her imaging approach motivates our need for an accurate understanding of the visible/IR coronal emission.

It might be surprising, but the visible and infrared regions of the coronal spectrum are largely unexplored. This is mainly due to the paucity of observations. Interestingly, the same problem concerns the soft X-rays, between 60 and 170 Å. The two spectral regions are historically related: Edlén's pioneering laboratory measurements of soft X-ray spectra and identifications of lines from iron and other elements allowed Grotrian (1939) to identify the famous bright red coronal forbidden line at 6374.6 Å as the Fe x transition 2P3/22P1/2 within the ground configuration. Edlén then wrote a seminal paper (Edlén 1943), confirming that the solar corona is a million degree plasma (see also Swings 1943 for more details). Edlén work was extended by Fawcett et al. (1972), and recently revised by Del Zanna (2012a), where the strongest lines in the soft X-ray spectra, which were previously unknown, have been identified. This was only possible because of large-scale atomic calculations for the main iron and nickel coronal ions, which were recently carried out within the UK APAP network,3 the main provider of atomic data for fusion and astrophysical plasma. However, a large number of lines in the soft X-rays are still unidentified.

In the literature, contradicting line identifications of the visible lines are common, even for some of the strongest lines. A large number of authors have contributed to the identifications over the years, including Edlén, Svensson, Ekberg, Smitt, Mason, Nussbaumer, and Magnant-Crifo, just to name a few. Most of the suggested identifications were mainly based on wavelength coincidences along isoelectronic sequences, sometimes with approximate estimates of the line intensities. One exception among the early studies is the work of Mason & Nussbaumer (1977), where the excitation cross-section for Fe x and Fe xi were actually calculated, allowing more accurate estimates of line intensities. This enabled the authors to suggest, also on intensity grounds, several new identifications for these two important ions.

It might be surprising, but accurate atomic rates for the forbidden lines have only recently become available for a number of ions. The main ions producing the strongest forbidden lines are from iron, and the above-mentioned large-scale atomic calculations have produced significantly different results. For example, as shown in Del Zanna et al. (2014), significant differences (factors of two) were found for some of the forbidden lines of Fe ix and Fe x, compared to earlier (but still sophisticated) calculations. Most of these data have been included in CHIANTI4 version 8 (Del Zanna et al. 2015), which is used here. We note that Judge (1998) used the atomic data available at the time, i.e., CHIANTI version 1 (Dere et al. 1997).

It is therefore timely to review all the observations of the forbidden lines with the latest atomic data. Our main aim for this paper is to provide a comprehensive list of the main lines observed and assess their identification on the basis of the current atomic data. A full benchmark of the atomic data along the lines of the series of papers that started with Del Zanna et al. (2004) is not possible at this time, given the uncertainties in the calibrated radiances of the visible and infrared lines. Many identifications will need to be confirmed with future observations.

We also aim to provide rough estimates of line radiances for different activity conditions, and as a function of distance, in order to aid the planning of future observations. In particular, the present results were used to aid the planning of the AIR-Spec infrared observations. Finally, we also provide some examples of which spectral lines would be suitable for measuring electron densities and elemental abundances, using intensity ratios.

2. Observations

In this section, we briefly review only the main observations we have used for the present assessment and those that contained published spectral observations where wavelengths and/or line radiances were provided. In other words, this section is not meant to even summarize the large volume of literature on ground- and space-based observations of the forbidden lines, especially during total eclipses.

2.1. Observations in the Visible

The genius of Bernard Lyot enabled him to make breakthrough observations of the coronal visible and near-infrared lines with a novel coronagraph outside eclipses. At the Pic du Midi Observatory, he carried out observations of 11 coronal lines, some for the first time (Lyot 1939). In many respects, his observations are still unsurpassed. Lyot also classified the lines into three groups, following their intensity distributions in the corona. The three representatives of the groups were the red Fe x, green Fe xiv, and yellow Ca xv. We now know that this simple classification reflects the temperature of formation of these ions, and is very useful information when trying to identify a spectral line. This scheme was somewhat complicated later on, by Shajn (1948) and following authors, with the introduction of a fourth class. Hence, after Van de Hulst (1953), it has been customary to assign lines from ions such as Fe x to class I, those like Fe xiii and Fe xiv to class II, the Ca xiii and Ni xvi to class III, while all the hotter ions like Ca xv and Fe xv, only visible in ARs, were assigned to class IV.

We note that it is common in the literature to refer to the bright hot regions in the solar corona as "condensations." In the present paper, we call them ARs because that is what they were. We also note that we only consider here coronal lines formed around 1 MK or more, and not chromospheric lines.

There are many historical observations of coronal lines during eclipses. An early one worth a special mention is the Harvard-MIT expedition to the 1936 eclipse. The expedition recorded spectra in the near-ultraviolet and visible with three instruments. Petrie & Menzel (1942) provided an extensive list of lines, some of which have not been observed since and hence should be considered with caution. We only report the coronal lines that they considered more certain. A complete review list of 27 well-observed coronal lines known at the time was provided by Van de Hulst (1953).

We now briefly review the main observations we have assessed, starting with the two most important eclipses. The present study adds other observations to extend the excellent list of observed visible lines compiled by Mouradian (1997). It is also an improvement, in that several of the identifications listed by Mouradian (1997) turned out to be incorrect.

2.1.1. The 1952 February 25 Eclipse

Lyot designed a novel instrument with a circular slit, and built two spectrographs, one in the visible and one in the near-ultraviolet, to observe the 1952 February 25 eclipse at Khartoum, Egypt, with the assistance of Aly. They obtained the best-ever plates of the coronal lines. They were also lucky in that a very extended, hot, high-density AR was located at the limb. Next to it, a large prominence was also present, which was key to obtaining accurate measurements of the coronal lines by using the known chromospheric lines, which were very strong in the prominence, as a reference.

Unfortunately, Lyot only managed to perform an initial analysis and died in Egypt three months later. The results of this initial analysis are reported in Lyot & Aly (1955) as a first table. Aly subsequently added several weaker lines and a second table in the same publication. A preliminary photometric analysis of the plates was later carried out in Meudon by Divan & Pecker (1960), and a further analysis and line intensities were provided in Aly et al. (1962a). We adopt in our Table 2 the calibrated radiances at the center of the AR, as listed by Jefferies et al. (1969) (see below). As Aly et al. (1962a) described, the relative calibration was quite accurate because it could be checked against the observed continuum. However, the absolute values are uncertain by about a factor of two. The distance from the limb was also quite uncertain, but should range between 1.05 and 1.1 R, with 1.09 R as the quoted value.

The plates were subsequently taken to Sac Peak and independently re-analyzed by Aly, Evans, and Orrall, as described in Aly et al. (1962b). The lines were given a class, on the basis of the certainty in the identification of a line as a coronal line in the plates, which was not trivial. The best-known lines were given an "A." Well-observed ones were given a "B," while those more difficult to measure were listed as "C." The dubious ones were given a class "D." Several of the lines originally listed by Aly et al. (1962a) in the second table were subsequently listed as dubious by Aly et al. (1962b). In our Tables 2 and 3 below, we typically list only the lines in the A, B, and C classes, as in the Aly et al. (1962b) report.

The wavelengths are often given with a decimal figure, but appear to be uncertain by about 1–3 Å, as it appears from a comparison with subsequent observations. This means that, in several instances, it is not clear whether more lines have been observed or merely that the wavelengths reported were inaccurate. When the differences are more than 1 Å, we list the wavelengths reported by Aly.

Lyot's observations had a profound influence in many areas. They showed that it is possible to measure the absolute abundances (i.e., relative to hydrogen) of the observed elements. This was carried out by Pottasch (1964) with these data, and later by several authors with these and other data sets (see, e.g., Magnant-Crifo 1974; Mason 1975b)

Lyot's observations prompted M.J. Seaton at University College London (UCL) to challenge H.E. Mason to provide the first accurate scattering calculations for the coronal iron ions (Mason 1975a). The calculations used the state-of-the-art UCL Distorted Wave (DW) scattering codes developed mainly by Eissner & Seaton (1972). These calculations allowed one, for the first time, to predict line intensities. It was shown that cascading is an important effect when estimating the intensities of the forbidden lines. Since then, those codes have been widely used in astrophysics for the calculations of atomic data in general.

2.1.2. The 1965 May 30 Eclipse

Two spectrographs similar to the one used by Lyot (with a circular slit) were built by the Sac Peak and University of Hawaii groups, under the supervision of Dunn (see Dunn 1966), to observe the 1965 May 30 eclipse. One spectrograph was aboard a NASA aircraft and recorded spectra in the visible from 3000 to 9000 Å. The other spectrograph obtained ground-based simultaneous observations from the Bellingshauen Island.

The spectra were dominated by the presence of an AR; however, this one was not as bright and hot as that observed by Lyot in 1952. Curtis et al. (1965) presented a complete list of wavelengths and identifications based on the flight spectra. We adopt it as the basis of our Tables 2 and 3 for the lines in the 3000–9000 Å range. The estimated accuracy is about 0.4 Å. We have converted the air wavelengths measured by Curtis to vacuum wavelengths, following Edlén (1966). The Lyot class of the observed lines is also reported in the tables, whenever available.

Jefferies et al. (1971) provided a well-cited list of line radiances obtained from the ground at two slit positions. The wavelengths listed by Jefferies et al. (1971) are those reported by Curtis et al. (1965).

As discussed by Jefferies et al. (1969), the same instrument obtained good spectra at the 1966 eclipse in Bolivia. Jefferies et al. (1969) provides a list of calibrated radiances from the 1965 and and 1966 eclipses, as well as radiances in the core of the AR of the 1952 eclipse. This comparison is paramount, as it shows that the AR observed by Lyot in 1952 was unusually bright and hot. Indeed, lines such as Ca xv were not observed in the 1965 and 1966 eclipses.

Several identifications listed by Curtis et al. (1965) and Jefferies et al. (1971) have turned out to be incorrect, as discussed by various later authors. In most cases, lines were actually due to iron ions. Most of the correct identifications are reported in the review by Smitt (1977), although the actual original identifications are credited to many authors.

Magnant-Crifo (1973) later performed a detailed analysis of the flight spectra of the 1965 eclipse, which were taken at radial distances of about 1.1  R. Discrepancies with the radiances obtained from the ground spectra were ascribed to an incorrect measurement of the radial distance of the slit by Jefferies et al. (1971). The useful result of the Magnant-Crifo (1973) analysis is a complete list of line equivalent widths as a function of position angle and radial distance, from which line intensities can be obtained. We have analyzed the intensities at several positions, and noted that an AR dominated the spectra. We selected two distant regions to compare with our estimates (see below).

2.1.3. Other Observations

The most remarkable observation of the visible forbidden lines in the red and near-infrared was obtained by Wlérick & Fehrenbach (1963) with the 1.9 m telescope of Haute provence, which happened to be along the totality path of the famous 1961 February 15 eclipse in Europe. They observed a number of lines never observed since, and provided the best-ever wavelength measurements. However, many lines were very weak, so we list them with a question mark.

Many other observations have been carried out. We only briefly mention the most notable ones. Kurt (1962) observed the visible spectrum from an aircraft, during the same eclipse of 1961 February 15. Kernoa et al. (1965) report an analysis of other observations taken during the same eclipse. Byard & Kissell (1971) obtained the Fe abundance from observations of the infrared Fe xiii lines during the total eclipse of 1966 November 12. Nikolsky et al. (1971) report several new, weak, unidentified lines observed during the 1970 March 7 eclipse. The wavelengths are not very accurate and most of the weak lines have not been observed by others, so they are not reported here. Liebenberg et al. (1975) carried out detailed measurements of the coronal green line.

2.2. Infrared Observations

Following the observations of the Fe xiii infrared lines by Lyot (1939), many observations of these and other lines have been carried out in a number of sites; see, e.g., Firor & Zirin (1962), Zirin (1970), Fisher & Pope (1971), Querfeld (1977), Arnaud & Newkirk (1987), Singh et al. (2004). More recently, routine observations of the Fe xiii infrared lines have been carried out with the CoMP instrument (Tomczyk et al. 2008) at the Mauna Loa Solar Observatory.

Lines at longer wavelength are intrinsically weaker and difficult to observe from the ground. Münch et al. (1967) reported observations in the infrared, obtained with a spectrograph and a circular slit close to the solar limb, obtained during the 1966 November 12 eclipse from a NASA airborne flight. The Si x 1.43 μm line was observed, as was the Mg viii 3.027 μm line. Approximate radiances for these lines were provided. Note that the Si x 1.43 μm line was also observed later, with a coronagraph of the National Solar Observatory at Sacramento Peak, by Penn & Kuhn (1994).

Olsen et al. (1971) carried out some excellent observations in the infrared between 1 and 3 μm, obtained during the eclipse of 1970 March 7. The spectrograph was mounted onboard a high-altitude airplane. Approximate line intensities were provided, as well as several identifications. We list their measurements below, in our Tables 2 and 3. However, we note that some of the identifications were incorrect, as pointed out later by Kastner (1993).

Kuhn et al. (1996) presented an infrared spectrum obtained during the 1994 solar eclipse. The S ix line at 1.25 μm was detected, and the Si x 1.43 μm was also observed. Finally, we note that Judge et al. (2002) detected the Si ix 3.93 μm line from ground-based observations.

3. Estimates of Line Radiances Near the Limb

The Sun is a variable star; it has always been known, even from the early eclipse observations, that the solar corona presents completely different characteristics in time and space. Therefore, it is difficult to provide a guideline of observable lines and assess the identifications of all the observed lines.

The forbidden lines are extremely sensitive to the electron temperature, density, photoexcitation, and chemical abundances. All these parameters change significantly from region to region.

We now have excellent spectroscopic measurements of the inner corona, up to 1.3 R, from, e.g., SOHO CDS and SUMER, as well as Hinode EIS, and of the outer corona from SOHO UVCS. We therefore have a fairly good understanding of these parameters, such that we are now able to perform some reliable estimates for the forbidden lines.

The easiest case to model is that of the quiet Sun (QS), when no ARs are present. However, very few measurements are available for the coronal lines, as most of the reported observations are on ARs.

In order to provide a rough guide on what radiances are expected when the Sun is more active, we have therefore opted to present the results of two other simulations, one on the brightest AR observed so far (AR) by Lyot in 1952, and one when the Sun was more quiet (QR).

As the forbidden lines are well-known to be very sensitive to the photoexcitation, we started by building a photospheric spectrum to be used for the simulations. We opted for the irradiance spectrum compiled by Kurucz (2006), which was based on high-resolution measurements, scaled to agree with the well-calibrated ATLAS-3 spectrum by Thuillier et al. (2004). We supplemented this spectrum with that of a blackbody at the near-infrared wavelengths. We compared the Kurucz (2006) spectrum to that of a blackbody at 6000 K and to the lower-resolution reference spectrum compiled by Woods et al. (2009), and found some differences, although not too significant for the present purpose.

We assume uniform distribution on disk, i.e., we have converted the irradiances to radiances. This is clearly a good assumption for the QS, but not in the case of the active Sun. We have performed the simulations with and without photoexcitation, to assess which line is most affected. We used the framework developed for CHIANTI version 4 (Young et al. 2003) by P.R. Young to include the photoexcitation in the modeling.

3.1. The QS Simulation

SOHO SUMER (see, e.g., Feldman et al. 1997; Landi et al. 2002) and Hinode EIS (see, e.g., Warren & Brooks 2009; Del Zanna 2012b) observations of the off-limb QS have established that the emission measure (EM) distributions are very narrow around 1 MK. This is obtained with the EM loci method (see, e.g., Strong 1978; Del Zanna et al. 2002), by plotting the ratio of the observed intensity ${I}_{\mathrm{ob}}$ of a line with its contribution function, ${I}_{\mathrm{ob}}/G(T)$, as a function of temperature. The loci of these curves are an upper limit to the emission measure distribution. If the curves cross at one point, that is a strong indication of an isothermal plasma.

There is also good agreement in the absolute values, if one compares, e.g., the EM loci curves from EIS and SUMER (Landi et al. 2002; Del Zanna 2012b). We have chosen the SUMER observations reported by Landi et al. (2002) as a baseline for our model because they include far more ions than the EIS ones. The SUMER spectra were taken between 1.03 and 1.045 R. It is well-known from SOHO CDS, SUMER, and Hinode EIS observations of line ratios that the electron density is about 2 × 108 (cm−3), which is what we adopted. We run a simple isothermal model with log T [K] = 6.14, log EM = 27.1, and the photospheric abundances of Asplund et al. (2009). The observed and predicted SUMER radiances for a selection of strong lines are shown in Table 1.

Table 1.  SUMER Quiet Sun Radiances (erg cm−2 s−1 sr−1) of a Selection of Lines

Ion λ (Å) Iobs Ipred
Fe x 1463.49 0.84 0.76
Fe xi 1467.07 3.4 3.1
Fe xii 1349.40 5.3 3.4
Mg viii 772.26 0.67 0.42
Mg ix 706.06 8.16 6.0
Mg x 609.79 1.5 × 102 1.4 × 102
Si vii 1049.22 0.04 0.03
Si viii 944.47 2.0 1.7
Si ix 950.16 1.9 1.0
Si x 638.93 5.2 3.9
Si xii 520.67 9.2 10.
Ca x 557.77 8.0 10.
High-FIP elements
Ne vii 895.17 0.13 0.18
Ne viii 770.43 30.7 50.
O vi 1037.61 28.5 26.
S ix 871.73 0.44 0.29
S x 776.37 1.9 1.6
S xi 575.0 0.47 0.37
Ar xi 1392.10 0.13 0.11

Note. Observed (Iobs) by Landi et al. (2002) and predicted (Ipred) with an isothermal assumption and the photospheric abundances of Asplund et al. (2009).

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What is not well-established in the literature is the chemical composition of the low corona of the QS. In most literature, including Landi et al. (2002), it is assumed that the low-FIP elements in the quiet corona are increased by a factor of about 3–4, compared to their photospheric values. However, there is also a body of literature showing no FIP effect in the QS.

For the purpose of the present estimates, this issue is not relevant, as long as the model is capable of reproducing the observed line intensities. However, it is interesting to note, looking at Table 1, the relatively good agreement for both low- and high-FIP elements. We originally aimed at a factor of two agreement, but the agreement is far better in many instances. We also note that we selected those lines where the atomic data are more reliable. In fact, many of the SUMER lines are forbidden and their intensities are more difficult to calculate. Indeed, for many of the ions observed by SUMER, we still do not have accurate atomic data for all transitions.

We used this simple isothermal model to predict the radiances of all the forbidden lines in the visible and infrared. In order to make a meaningful comparison to the eclipse data taken at 1.1 R by Magnant-Crifo (1973), we had to scale these radiances. We estimate (see below) that the radiances would have decreased by about a factor of 2.4 at 1.1 R, and have therefore scaled the predicted values by this amount.

We have chosen scan no. 355 as an example of a quiet region, noting that the 1 MK lines, such as Fe x, are quite weak—but there are regions where they are even weaker. The resulting observed and predicted radiances are shown in Table 2, in the third intensity column. Again, we expected an agreement within a factor of two, but the agreement is much better for the few lines observed and emitted around 1 MK. This provides confidence in the present estimates. It is also interesting to note that the radiance of S xii is well-reproduced, i.e., scan no. 355 of Magnant-Crifo (1973) is also consistent with photospheric abundances.

Table 2.  Line List of Visible and Infrared Lines

${\lambda }_{o}$(air) ${\lambda }_{o}$(vac) ${\lambda }_{C}$ I(AR) I (QR) I (QS) Ion Notes Transition (Lower-upper)
3000.93 (1.4) (0.3) (0.2) Ni xi 3s2 3p5 3d 3F3–3s2 3p5 3d 1D2
3002.49 (2.2) (1.0) (0.1) Fe ix 3s2 3p5 3d 3F3–3s2 3p5 3d 3D2
3012.41 (0.6) (0.2) (0.08) Fe xi 3s2 3p3 3d 3F3–3s2 3p3 3d 1G4
3021.3J 3022.2 3020.97 (17) (4) (2) Fe x S77 3s2 3p4 3d 4F9/2–3s2 3p4 3d 2G9/2
              (not Fe xii)  
3072.0 3072.9 ?3072.06 (13) (3.2) (0.9) Fe xii S77 3s2 3p3 2D3/2–3s2 3p3 2P1/2
3124.0 3124.9 3124.06 (7.6) (3.7) (0.4) Fe ix New 3s2 3p5 3d 3F2–3s2 3p5 3d 1F3
3167.0 3167.9 3167.57 (0.9) (0.2) (0.08) Ni xii S77 3s2 3p4 3d 4D7/2–3s2 3p4 3d 4F9/2
              (not Cr xi)  
3302.8 3303.8 3302.37 (0.4) (0.03) (0.01) Cr ix S77: Ni xi 3s2 3p4 3P2–3s2 3p4 1D2
3327.5 (A) 3328.5 3328.46 66 (54) (1.4) (0.2) Ca xii 2s2 2p5 2P3/2–2s2 2p5 2P1/2
3338.5 (A) 3339.5 3339.46 (1.5) (0.5) (0.2) Ni xi New 3s2 3p5 3d 3F3–3s2 3p5 3d 3D3
3355.1 3356.1 3355.44 (1.) (0.7) (0.07) Fe ix S77 3s2 3p5 3d3F4–3s2 3p5 3d 3D3
3388.10L(7) (A) 3389.07 3388.9 220 (160) 27 (24) 9 (5) Fe xiii 3s2 3p2 3P2–3s2 3p2 1D2
    3446.2561 (2.4) K xv 2s2 2p 2P1/2–2s2 2p 2P3/2
3454.2 (A) 3455.2 3454.95 24 (23) 29 (11) 7 (4) Fe x MN77 3s2 3p4 3d 4D7/2–3s2 3p4 3d 4F9/2
3471.6 (B) 3472.6 3472.49 (1.9) 5 (0.9) (0.09) Fe ix S77 3s2 3p5 3d 3F2–3s2 3p5 3d 3D2
3488.5 3489.5 ?3484.80 (0.5) (0.2) (0.07) Fe xi New 3s2 3p3 3d 3F4–3s2 3p3 3d 1G4
3488.5 3489.5 ?3489.92 (0.1) (1.7) ? Mg vi New 2s2 2p3 2D3/2–2s2 2p3 2P3/2
    ?3489.9 () (2.7) ?Mg vi New 2s2 2p3 2D3/2–2s2 2p3 2P3/2
3502.5 3503.5 3503.25 (8 × 10−2) (2) ?Mg vi S77: Cu xiii 2s2 2p3 2D3/2–2s2 2p3 2P1/2
3533.6 (A) 3534.6 3533.82 7 (5) 4 (1.3) (0.6) Fe x MN77 3s2 3p4 3d 4F7/2–3s2 3p4 3d 2G7/2
              (not V x)  
3577.1 (I,II) (B) 3578.1 ?3575.4 (1.6) 3.4 (0.4) (0.2) Fe x S77 3s2 3p4 3d 4F7/2–3s23p4 3d 2G9/2
3601.1 (A) 3602.1 3602.2539 77 (120, 110) Ni xvi 3s2 3p 2P1/2–3s2 3p 2P3/2
3642.7 (A) 3643.7 3644.1 10 (11.) 6 (5.6) 1.3 (0.6) Fe ix S77 3s2 3p5 3d 3F3–3s2 3p5 3d 1D2
              (not Ni xiii)  
3645.9AEO (D)   3646.85 (0.26) ? Ca xvii New 2s 2p 3P1–2s 2p 3P2
3800.8 (I) (A) 3801.9 3802.1 14 (13) 10 (9) 6 (0.9) Fe ix S77 3s2 3p5 3d 3F3–3s2 3p5 3d 3D3
              (not Co xii)  
3986.8 (A) 3987.9 3988.0 21 (21) 15 (7.5) 8 (3) Fe xi 3s2 3p4 3P1–3s2 3p4 1D2
4087.1 (A) 4088.3 4087.5 105 (72, 49) (0.3) (0.02) Ca xiii 2s2 2p4 3P2–2s2 2p4 3P1
? 4111KS (III?) 4114.0 (1.2) (0.3) (0.14) ? Fe x New 3s2 3p4 3d 4F5/2-3s2 3p4 3d 2G7/2
4231.2 (A) 4232.4 4232.1 68 (20,18) 7 (9) (2.4) Ni xii 3s2 3p5 2P3/2–3s2 3p5 2P1/2
? 4251AEO (C) 4249.9 (1, 0.7) (0.2) (0.04) ? K xi New 2s2 2p5 2P3/2–2s2 2p5 2P1/2
4311.8 (C) 4313.0 4312.8 (4.5) 5 (1.3) (0.5) Fe x MN77 3s2 3p4 3d 4F9/2–3s2 3p4 3d 2F7/2
              (not V x)  
4359.4 (A) 4360.6 4360.4 (8.5) 9 (4.2) (0.4) Fe ix S77 3s2 3p5 3d 3F2–3s2 3p5 3d 1D2
4413 (A)   4413.8 83 (42, 26) 6(-) Ar xiv 2s2 2p 2P1/2–2s2 2p 2P3/2
4566.2 (A) 4567.5 4567.5 (6) (4.3) (1.4) Fe xi MN77 3s2 3p3 3d 3F4–3s2 3p3 3d3G5
              (not Cr ix)  
4585.3 (D) 4586.6 ?4588.6 (4) (2.8) (0.3) Fe ix S77 3s2 3p5 3d 3F2–3s2 3p5 3d 3D3
4744A (D) 4745.3 ?4750.1 (7.5) ?Ni xvii New 3s 3p 3P1–3s 3p 3P2
    5079. (1.8) (1) (0.3) Fe xi 3s2 3p3 3d 3F4–3s2 3p3 3d 3G4
5116.03L(2) (A) 5117.5 5117.2 114 (20, 17) (3.7) (0.6) Ni xiii J98:1 3s2 3p4 3P2–3s2 3p4 3P1
    5278.43 (5, 2) (0.2) K xii 2s2 2p4 3P2–2s2 2p4 3P1
5302.86L (2) (A) 5304.34 5304.5 1481 (1400, 1300) 144 (140) 16 (11) Fe xiv J98:144 3s2 3p 2P1/2–3s2 3p 2P3/2
5446.0LA (A) 5447.5 5446.0 95 (33,30) Ca xv J98:0.2 2s2 2p2 3P1–2s2 2p2 3P2
? 5533.4 (I) 5534.9 5535.6 (7.5, 4) (8) (5) S77: Ar x (J98:2) 2s2 2p5 2P3/2–2s2 2p5 2P1/2
? 5537AEO (I) (A) 5538 5535.6 32 (7.5,4) (8) (5) Ar x (J98:2) 2s2 2p5 2P3/2–2s2 2p5 2P1/2
? 5539.1 (I) (A) 5540.6 5538.9 −(2) −(0.5) (0.2) S77: Fe x   3s2 3p4 3d 4F7/2–3s2 3p4 3d 2F7/2
            (not Ar x)    
5694.42L (5) (A) 5696.0 5696.4 186 (190, 65) Ca xv J98:3.4 2s2 2p2 3P0–2s2 2p2 3P1
5743.8 (9, 6) Cl xiii 2s2 2p 2P1/2–2s2 2p 2P3/2
5944AEO (B)   5945.3 (0.8)   ? Ar xv 2s 2p 3P1–2s 2p 3P2
6374.56WF (A) 6376.32 6376.3 163 (310, 280) 211 (200) 73 (57) Fe x J98:99 3s2 3p5 2P3/2–3s2 3p5 2P1/2
? 6622.99WF 6624.82 6624.3 (1.7) (0.7) (0.3) ? Fe xi 3s2 3p3 3d 3D3–3s2 3p3 3d 3F4
    ? 6672.5 (2.4, 1.9) K xiv 2s2 2p2 3P1–2s2 2p2 3P2
6701.47WF (A) 6703.32 6703.5 216 (140, 99) (0.5) (0.03) Ni xv S77 3s2 3p2 3P0–3s2 3p2 3P1
6917.0WF 6918.91 6918.0 (18, 8) 4 (6.6) (3) Ar xi S77. J98:3.2 2s2 2p4 3P2–2s2 2p4 3P1
7059.59WF 7061.54 7062.1 (200) (1.1) (0.08) Fe xv J98:3.5 3s 3p 3P1–3s 3p 3P2
    7548.3 (13, 4) K xiv 2s2 2p2 3P0–2s2 2p2 3P1
7611.0 (II) 7613.1 7613.1 (260, 180) 23 (14) 3.4 (2.7) S xii S77 2s2 2p 2P1/2–2s2 2p 2P3/2
7891.89WF 7894.06 7894.0 (340,290) 177 (420) 66 (93) Fe xi J98:85 3s2 3p4 3P2–3s2 3p4 3P1
8024.2L(1) 8026.3 8026.3 (57) (6 × 10−2) Ni xv 3s2 3p2 3P1–3s2 3p2 3P2
    8339.6 (20) Ar xiii J98:0.5 2s2 2p2 3P1–2s2 2p2 3P2
    9219. (0.5) (0.1) Cl x 2s2 2p4 3P2–2s2 2p4 3P1
    9917 (8.5) (4) (1.5) S viii J98:1.2 2s2 2p5 2P3/2–2s2 2p5 2P1/2
    9919 (4.3) (0.5) (0.1) Fe xiii 3s2 3p 3d 3F3–3s2 3p 3d 3F4
    9978 (1.1) (0.4) (0.2) Mn x 3s2 3p4 3P2–3s2 3p4 3P1
    10143 (38) Ar xiii J98:8 2s2 2p2 3P0–2s2 2p2 3P1
    10301 (13) S xiii 2s 2p 3P1–2s 2p 3P2
    10651 (2) Cl xii 2s2 2p2 3P1–2s2 2p2 3P2
10746.80L(15) 10749.7 10749.0 (4.3 × 102) (240) (35) Fe xiii J98:285 3s2 3p2 3P0–3s2 3p2 3P1
10797.95L (15) 10801.0 10801.0 (3.4 × 102) (140) (21) Fe xiii J98:67 3s2 3p2 3P1–3s2 3p2 3P2
  12660 ? 12524 224O (14) (4.7) (4.7) S ix J98:13 2s2 2p4 3P2–2s2 2p4 3P1
              (not Fe xiv)  
    12793 (2.7) Ni xiv 3s2 3p3 2D3/2–3s2 3p3 2D5/2
    13837 (4) Cl xii 2s2 2p2 3P0–2s2 2p2 3P1
    13928 (50) (7) (3.5) S xi J98:6 2s2 2p2 3P1–2s2 2p2 3P2
  14305M 14305 262O (170) 51M (130) (37) Si x J98:21 2s2 2p 2P1/2–2s2 2p 2P3/2
  19220O 19201.2 <159O (45) (12) (5.6) S xi K93; J98:21 2s2 2p2 3P0–2s2 2p2 3P1
              (not Si xi)  
    19350 (16) (5) (1) Si xi J98:0.9 2s 2p 3P1–2s 2p 3P2
    19482 (3.3) (1) (0.5) Fe x 3s2 3p4 3d 4F9/2–3s2 3p4 3d 4F7/2
    19630.0 () (18) (0.01) Si vi 2s2 2p5 2P3/2–2s2 2p5 2P1/2
    20450 (3.7) (3.3) (1) Al ix 2s2 2p 2P1/2–2s2 2p 2P3/2
    22063 (16) (18) (3.6) Fe xii 3s2 3p3 2D3/2–3s2 3p3 2D5/2
    22183 (7) (11) (0.9) Fe ix J98:31 3s2 3p5 3d 3F3–3s2 3p5 3d 3F2
    22650 (9) Ca xiii J98:0.08 2s2 2p4 3P1–2s2 2p4 3P0
    24307 (1) (1.5) (0.5) Ni xi 3s23p5 3d 3F4–3s2 3p5 3d 3F3
    24826 (5) (41) (0.3) Si vii J98:6 2s2 2p4 3P2–2s2 2p4 3P1
    25846 (34) (41) (12) Si ix J98:27 2s2 2p2 3P1–2s22p2 3P2
  27470O ?27541 <325O (0.6) (0.3) (0.1) ? Al x 2s 2p 3P1–2s 2p 3P2
    ? 27159 (0.14) (0.2) 0.15 P x 2s2 2p2 3P0–2s2 2p2 3P1
    28563.0 (5) (17) (1.1) Fe ix J98:9 3s2 3p5 3d 3F4–3s2 3p5 3d 3F3
  30275M ?30284.7 25M <357O (9) (34.) (0.7) Mg viii J98:16 2s2 2p 2P1/2–2s2 2p 2P3/2
    37551.0 (1) (0.9) (0.7) S ix J98:0.4 2s2 2p4 3P1–2s2 2p4 3P0
39343.4J02   39277.0 (10) (29) (6) Si ix J98:31 2s2 2p2 3P0–2s2 2p2 3P1
    54466 () (18.) (0.07) Fe viii 3s2 3p6 3d 2D3/2–3s2 3p6 3d 2D5/2
    55033 () (16.) (0.01) Mg vii J98: 1.8 2s2 2p2 3P1–2s2 2p2 3P2
    64935 () (3.8) (0.02) Si vii J98:0.3 2s2 2p4 3P1–2s2 2p4 3P0
    90090 () (3.3) Mg vii J98:0.5 2s2 2p2 3P0–2s2 2p2 3P1

Note. The measured wavelengths (Air, in Å) in the first column are, unless otherwise stated, from Curtis et al. (1965). The number in brackets is the uncertainty, in units of the last digit, whenever available. The letters in brackets (A, B, C) indicate the Aly et al. (1962b) classification. The Roman numerals indicate the class. A: as measured by Aly (Lyot & Aly 1955); AEO: as measured by Aly, Evans and Orrall (Aly et al. 1962b); KS: as measured by Kernoa et al. (1965); J: as measured by Jefferies et al. (1971); J02: as measured by Judge et al. (2002); K: as measured by Kurt (1962); LA: as measured by Lyot & Aly (1955); L: as measured by Lyot (1939); M: as measured by Münch et al. (1967); O: as measured by Olsen et al. (1971); PM: as measured by Petrie & Menzel (1942); WF: Wlérick & Fehrenbach (1963); K93: identification suggested by Kastner (1993); S77: identification listed in the review by Smitt (1977); MN77: identification suggested by Mason & Nussbaumer (1977); J98: line listed by Judge (1998). The second column gives the vacuum wavelengths; the third gives the CHIANTI Version 8 wavelengths. Here, I (AR, QR) are the observed (and predicted in brackets) radiances of an active region and a more quiet region. The second number within the brackets in the I (AR) column indicates, if present, the radiance as calculated without photoexcitation. In this table, I(QS) indicates predicted radiances for the quiet sun. The estimated radiances are at 1.1 R, in photons cm−2 s−1 arcsec−2. See text for more details.

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3.2. The QR Simulation

We have chosen the radiances of scan no. 346, reported by Magnant-Crifo (1973) and taken close to 1.1 R, to be representative of a more quiet region. Indeed, the hot lines, such as Fe xv and Ni xv, are absent in the spectra. The radiances of the lines formed between 1 and 2 MK are only slightly higher than those in QS regions, but cooler lines like Fe ix are unusually strong. Therefore, a simple isothermal assumption was not sufficient. We have chosen a two-temperature model with log T [K] = 5.8,6.18 and log EM = 26.5,26.74, calculated with a constant density of 1 × 108 (cm−3). The results of the simulation are shown in the second intensity column in Table 2. In this case, we have adopted our "coronal" abundances, obtained from X-ray and EUV observations of 3 MK emission in the cores of ARs (Del Zanna 2013; Del Zanna & Mason 2014). The abundances of low-FIP elements are increased by a factor of about 3.2, compared to photospheric.

3.3. The Hot AR Simulation

As we have mentioned, the best AR observation was the 1952 one by Lyot. Unfortunately, the height of the slit on the west limb where the AR was is not certain. The authors initially reported 1.05 R, but then about 1.1 R. Our understanding of AR structure is much improved by the observations from SOHO, Hinode, and SDO. It is well established that the cores of ARs are organized into cooler 1 MK loops that are nearly isothermal (see, e.g., Del Zanna 2003), an unresolved 1–2 MK emission (see, e.g., Del Zanna & Mason 2003), and nearly isothermal 2.5–3 MK core loops (see, e.g., Rosner et al. 1978). Modeling the 1952 AR observations is therefore quite complex, as there are always different temperature components along the line of sight. The purpose of this paper is not to provide detailed modeling, as was carried out, e.g., for this specific observation by Mason (1975b), but rather provide an approximate estimate for the lines in the far-infrared. We have chosen a multi-temperature model with log $T$ [K] = 6,6.2,6.45,6.6 and log EM = 26.8,27.2,28.2,27.9, and constant density of 1 × 109 (cm−3), which we know is typical for the cores of an AR. As all the AR cores seem to show an FIP effect, we have adopted our coronal values (Del Zanna 2013; Del Zanna & Mason 2014) for these simulations. The observed and predicted radiances are shown in Table 2. The agreement is not very good, but typically within a factor of two, which is acceptable.

In Table 2, we also list the radiances of the few lines that show a significant difference when the calculations are carried out without photoexcitation. This is to point out which lines are particularly sensitive to photoexcitation. We note that Ca xv is a peculiar case: the yellow line is predicted to increase by a factor of three due to the photoexcitation. The actual increase could be quite different, depending on the geometry (recall that we have assumed a simple uniform distribution).

3.4. A Few Remarks about the Tables and Results

First, we summarize the contents of Table 2. The first column gives the observed wavelength in air. The uncertainties and Lyot's class of the line are given, whenever provided. We also list the intensity class (A, B, C, D) reported by Aly et al. (1962b). We recall that the lines with class A or B are certain, C almost certain, and D dubious. A question mark is added when either a line is dubious or the wavelength is probably inaccurate.

The second column gives the vacuum wavelengths. The third column gives the vacuum CHIANTI wavelengths. A question mark is added to indicate significant disagreement with the values in second column. The fourth column gives the few observed radiances in an AR, as well as the predicted ones (in brackets), with and without photoexcitation included. The fifth and sixth columns give observed and predicted radiances for a more quiet corona (QR) and the QS.

The next column indicates the ion. A question mark is added to indicate a tentative assignment, sometimes previously suggested, which we have been unable to confirm with the present data. The following column indicates previous identifications whenever a line in the original list was incorrectly identified.

The table also displays whether the line was in the list of potentially interesting ones in Judge (1998), along with its predicted radiance. Very good agreement with our estimated radiances of the quiet Sun case (QS) can be seen in several cases. This is reassuring, considering that Judge (1998) obtained radiances using a different method, i.e., an integral along the line of sight (at a distance of 1.1 R). However, the radiances of the hotter and cooler lines are somewhat higher in the Judge (1998) simulation. This can be explained by the fact that Judge (1998) assumed a constant distribution of plasma from log10 T [K] = 5.9 to 6.5, at all heights, unlike our isothermal approximation at log T[K] = 6.14, i.e., 1.38 MK. However, in some instances, a few ratios as reported by Judge (1998) are incompatible with the present estimates. For example, the ratio of the two Fe xiii 10750, 10801 Å lines is consistent with a lower density (about 4 × 107 cm−3) than our assumed value. The same holds for the S xi 13928 versus the 19220 Å line (see Figure 4 for the CHIANTI v.8 theoretical ratio).

We have chosen not to clog the Table with multiple entries. Among the observed wavelengths, we list what we think is the best observed wavelength from the assessed literature. Details on the various measurements can be found in the references.

In general, we have listed the identifications as provided by Curtis et al. (1965) for the visible lines, and as provided by Olsen et al. (1971) for the infrared lines. We have noted in the Table when incorrect identifications were listed. As previously mentioned, there is a large number of publications where the original identifications of the various lines have been proposed. Within the table, we simply note whether a line was previously identified by Mason & Nussbaumer (1977) or by others, as listed in Smitt (1977), where a nice summary of the identifications known at the time was provided.

More information on the original identifications and an assessment of the experimental energies for each ion are provided in the original publications that are referenced in the CHIANTI database.

Table 2 lists only the lines that we currently have atomic data for in CHIANTI version 8. It includes both observed lines and a few that have not been observed but are potentially observable.

On the other hand, Table 3 lists all the main lines observed that we do not have atomic data for. In most cases, lines have not been identified. Without some estimates on their observed intensities, it is impossible to attempt some identifications. There are indeed many weaker lines in the CHIANTI spectrum that are not shown in the Table 2. In several cases, however, observed lines are certain and their identification suggested. Once atomic data are available for those lines, we will be able to confirm those identifications.

Table 3.  List of the Observed Lines with No Atomic Data Available

${\lambda }_{o}$(air) ${\lambda }_{o}$(vac) Notes
3328.6PM
3466.9AEO (C)
3573.2AEO (B)
3685.5 3686.6 Mn xiii (C)
3781.4AEO (C)
3980.9PM
3925AEO (C)
3946AEO (C)
3959.4AEO (C)
3972.3AEO (C)
3996.8 (I), 3998LA 3997.9 S77: Cr xi (B)
4003.5PM
4056.3PM
4085.6PM
4096AEO (C)
4140A (C)
4170.8PM,4170A (C)
4214AEO (C)
4272.9PM
4316.2AEO (C)
4322.7AEO (C)
4351KS (III), 4348AEO ? Co xv (C)
4418A, DP (C)
4568.7AEO (C)
4578.2AEO (C)
4668.9AEO (B)
4953AEO (C)
5105.4AEO (C)
5130.7AEO (B)
5483AEO (C)
5499.2AEO (B)
? 5537PM, AEO ? Ar x (A)
5560AEO (C)
5618.3AEO (C)
5907AEO (B)
5899.1PM
5912.4PM
5926AEO (B)
5937.1PM
6294.9PM
6272.06WF 6273.80
6304.60WF 6306.34 ?Co xii
6336.9PM
6388AEO (B)
6404AEO (B)
6436.0WF 6437.78
6456AEO (B)
6476AEO (B)
6513.0PM, 6511AEO (B)
6524.1PM
6535.96WF(I,II),6535.4A 6537.77 ? Mn xiii (B)
6601.93WF 6603.75
7092.0WF 7093.96
7143.90WF 7145.87
7160.75WF 7162.72
7212.76WF 7214.75
7852.9WF 7855.06
7956K
8077.0WF 8079.22
8153.8 (I) 8156.0 ?(S77: Cr xii)
8425.08WF 8427.40
8427.34WF 8429.66
8429.10WF 8431.42
8475.66WF 8477.99
8477.08WF 8479.41
8493.09WF 8495.42
11304K
11355K
11386K
11585K
  15230O (K93: Cr xi ?)
  15280O (K93: Ti vi ?)
  17210O
  18560O ?Cr xi

Note. The few suggested identifications are noted, as well as the Aly et al. (1962b) classification: (A, B, C). See Table 2 for the legend.

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3.5. On the Ar x Line

The Ar x line deserves a special mention, given that it is potentially very important for elemental abundance measurements, as discussed below.

There are two lines, one from Ar x and one from Fe x, which are predicted to be close in wavelength around 5537 Å. In some literature observations, both lines are reported; in others only one is, and sometimes the identification is not clear.

For both ions, we have atomic data rates that should be relatively accurate. For Fe x, CHIANTI v.8 has atomic data from Del Zanna et al. (2012a). For Ar x, CHIANTI has the scattering data of Witthoeft et al. (2007). Both have been obtained within the UK APAP network with the same R-matrix codes. This means that the predicted intensities of these lines should be accurate. The present model predicts that the Fe x line should always be much weaker (by a factor of 5–10) than the Ar x line, regardless of the choice of abundances. Also note that both lines are of class I.

The number of photons emitted by the Fe x line is predicted to be small, less than 1/10 than those of the Fe x 3454 Å line (even considering photoexcitation, which increases the ratio). The Magnant-Crifo (1973) study is one of the few where two lines of class I are reported (although they were not identified as such), at 5533.4 and 5539.1 Å. In these observations, the Fe x line is indeed seldom observed, but its intensity does not always agree with predictions. Also, the intensity of the nearby Ar x line is sometimes higher or lower than the intensity of the Fe x line, which is puzzling. The other ground observations of the 1965 and 1966 eclipses do not report intensities for these lines, so we cannot cross-check the intensities of these lines with other observations.

Regarding the wavelengths of these lines, we have cross-checked the Fe x identifications, and a wavelength of 5539 Å is well-constrained by other observations in the visible and UV (see Del Zanna et al. 2004 for details, but note that the level indexing in CHIANTI v.8 is different). This means that the wavelength in air of this line should be 5538 Å.

On the other hand, the wavelength of the Ar x is more uncertain, around 5535 Å (in air). Curtis et al. (1965) reports two lines, one at 5539.1 Å of class I, assigned to Ar x, and one unidentified at 5533.4 Å. We believe that the Ar x identification is incorrect.

In Lyot's 1952 observation, only one line is reported, with an intensity even higher than that of the Fe x 3454 Å line. The wavelength measured by Lyot was 5539.5 (in air), so we originally thought that this was the Fe x line, but it cannot be. On intensity grounds, this line can only be the Ar x line. In their revised wavelengths, Aly et al. (1962b) measured 5537, but that is still quite different than the value of 5533.4 reported by Curtis.

The Ar x line was observed by Koutchmy et al. (1974) to have the correct intensity ratio (5%) with the green line, although it was given class III; recent observations during the 2017 total eclipse confirm a stronger line around 5533.2 Å (in agreement with Curtis' measurement), which must be the Ar x line, and a much weaker blend of two lines around 5538 Å (S. Koutchmy 2017, private communication). We therefore conclude that the Ar x wavelength is 5533.4 Å, while the identification of the much weaker Fe x line is still unclear.

4. Estimates of Line Radiances Off-limb

In the preceding sections, we have provided, as a rough guide, estimated line radiances close to the solar limb. However, many interesting observations will be carried out at larger distances, so it is useful to know by how much line radiances fall off with the distance from the Sun.

This is not a trivial issue. One problem relates to the spatial distribution along the line of sight. For our simple simulations, we assume a uniform distribution (i.e., spherical symmetry), which is only reasonable for the QS. In practice, we calculate the line emissivities as a function of the radial distance, with the assumed parameters (densities, temperatures, and abundances), out to 10  R. We then integrate these emissivities for each fixed distance from the solar limb, assuming that the emissivities are the same (i.e., independent of longitude, considering the equator) for each radial distance.

Another problem is related to the photoexcitation. Again, we assume uniform distribution of the disk radiances on the solar surface, and use the standard dilution factors.

However, the main variables are the radial distributions of the electron temperature and density. Previous modeling of a few important EUV coronal lines carried out by Andretta et al. (2012) has shown significant differences in the predicted distribution of off-limb radiances, depending on which radial distributions one chooses.

The main problem is the radial distribution of the electron temperature, because there are very few (and contradictory) measurements. However, if the usual assumptions of ionization equilibrium hold, a temperature can be obtained from the EM loci curves. That might not be the true electron temperature, (indeed, it is an ionization temperature), but this is the best approach for the purpose of estimating the line radiances. Once this is considered, it is usually found that, at least up to 1.3 R, the temperature is constant. There are many results along these lines from CDS (see, e.g., Andretta et al. 2012) and SUMER (see, e.g., Landi & Feldman 2003), for example. Therefore, we have assumed a constant temperature of log T [K] = 6.14, up to 1.5 R, for our simulation. After that, we have adopted the temperature distribution obtained by Vásquez et al. (2003) with a semi-empirical method.

Fortunately, we have a better understanding of the electron density, which in any case is the dominant parameter. During the first two years of the SOHO mission, we obtained a large number of off-limb observations and monitored the density using line ratios (Del Zanna 1999; Fludra et al. 1999). Near-simultaneous measurements of the polarized brightness produced densities in reasonable agreement with those measured by CDS, for the QS (Gibson et al. 1999). Therefore, we have adopted the Gibson et al. (1999) densities for our simulation. Finally, we have chosen the photospheric abundances of Asplund et al. (2009).

The results for the Fe x red line are shown in Figure 1. As is well-known, this line is strongly dependent on photoexcitation. For comparison, we are plotting the radiances measured by Magnant-Crifo (1973) at two radial distances and position angles (in quiet regions). Some values are higher, but some are lower. However, we are more interested in validating the overall decrease with radial distance. We found an excellent eclipse observation of the red line by Singh et al. (1982), where one of the slit positions (slit III (1) at the west limb) was more or less aligned with the radial direction, and the solar corona was quiet. The line intensities were not calibrated, so we have scaled them and they are displayed in Figure 1. We can see very good consistency in the decrease.

Figure 1.

Figure 1. The radiance of the red line as a function of the radial distance, for the quiet Sun.

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To further validate the model, we have considered the strongest of the Fe xiii infrared lines. As in the case of the red line, it is well-known that the Fe xiii infrared lines are very sensitive to photoexcitation (see, e.g., Young et al. 2003). To validate the overall decrease with distance, we have considered a CoMP observation when the Sun is relatively quiet, shown in Figure 2. We have selected two radial directions, one in the SW and one in the NW, because the east limb was dominated by an AR. The SW had more signal, and intensities could be measured up to 1.35 R. We can see in Figure 3 that the predicted decrease in the line intensities nicely follows the observed (scaled) one.

Figure 2.

Figure 2. A negative image of the Fe xiii 10746 Å infrared line, as observed by CoMP.

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Figure 3.

Figure 3. The off-limb decrease in the intensity of the Fe xiii 10746 Å infrared line as a function of the radial distance, for the quiet Sun.

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5. A Discussion on Potential Diagnostics Using Line Ratios of the Forbidden Lines

There is clearly a wide range of potential diagnostic applications available to the visible and forbidden lines. For example, once the electron density is known, the intensity ratios of lines from different ionization stages of the same element can give information on the ionization temperature of the plasma. Below, we provide just a few examples of line intensity ratios that can be used to measure the electron density and relative elemental abundances, using a few of the strongest lines.

5.1. Density Diagnostics

All the visible and forbidden lines are strongly dependent on the electron density. However, even if the absolute calibration (or the chemical abundances) are not known, there are several cases where densities can be obtained directly from line ratios. In addition to the well-known density diagnostics for AR plasma from the Fe xiii (infrared) and Ca xv lines, there are several other diagnostics. A few examples are provided in Figure 4 and Table 4.

Figure 4.

Figure 4. Ratios of line radiances, without photoexcitation (full lines) and with the present quiet Sun photoexcitation model included at 1.2 R(dashed lines).

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Table 4.  Some of the Main Density Diagnostic Ratios for the Moderately Quiet Solar Corona

Ion ${\lambda }_{1}$ ${\lambda }_{2}$ T log ${N}_{{\rm{e}}}$
  (Å) (Å) (MK) (cm−3)
Fe ix 3124 3355 1 8.5–11
Fe ix 3644 3802 1 8–11
Fe ix 4360 4588 1 8–11
Fe ix 22183 28563 1 7–9.5
Fe x 6376 3454 1 9–11
Fe x 3021 3454 1 9–11
Fe xi 3988 7894 1.5 9–11
Si ix 25846 39277 1 8–9
S xi 13928 19220 2 8–10
Fe xiii 10801 10749 2 7–11
Ar xiii 8339 10143 3 9.5–11.5
Ca xv 5446 5696 4.5 8–10.5

Note. The ion, approximate wavelengths, and temperature of formation T of the lines are shown. In the last column, we show the range of densities where the ratios are useful.

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An excellent diagnostic for the QS is provided by the Si ix infrared lines, considering that the lines are close in wavelength. Another good diagnostic is the same ratio for the infrared S xi lines, which is sufficiently sensitive to measure densities in ARs, but should still be visible in the QS.

5.2. Measuring the FIP Effect

In this case, there are also plenty of diagnostics, depending on the source region and which wavelength region is considered. If one considers only the QS, then most of the lines that are typically formed around 3 MK will not be observable, and the list of potentially interesting lines reduces significantly. Figure 5 shows the contribution functions of a few of the main lines formed around 1–2 MK (without photoexcitation included), calculated with photospheric abundances. Within the visible, excellent diagnostics are available with Ar x and Ar xi, when observed in conjunction with, e.g., Fe x, Fe xi, and Fe xiii. There are obviously many more lines from many other elements that will be observable by DKIST.

Figure 5.

Figure 5. Contribution functions of a few of the main lines formed around 1–2 MK, calculated with photospheric abundances. The full lines indicate ions from low-FIP elements, while the dashed lines show those from high-FIP elements. In a few cases, the values have been scaled as indicated.

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Many more diagnostics are available when ARs are observed, as is clear from the list of lines in Table 2. In Figure 6, we show what we believe are the most important lines. The best combination of lines for a 2 MK plasma is the ratio of the two strong lines of S xii at 7612 Å and Fe xv at 7062 Å, both of which have been observed regularly at eclipses. The best diagnostic of all for the cores of ARs is the ratio of Ar xiii 10143 Å with the Ca xiii 4087 Å. Their contribution functions are not very large, but in the cores of AR, the emission measure at 3 MK is at least one or two orders of magnitude higher than the value at 1 MK, so these lines will become very strong. Indeed, the Ca xiii has been observed to be strong (for a discussion of the Ca lines in the 1952 observation, see Mason 1975b). On the other hand, the Ar xiii 10143 Å has not been observed yet, as far as we are aware. Other important lines are those from S xiii, Ar xiv at 4413 Å, and potentially the Ar xv line, if confirmed. Several interesting possibilities are also shown in Table 2. There are many transitions from K, Cl, Co, and Mn that could potentially allow abundance measurements in the future, if the lines can be observed and accurate atomic data become available.

Figure 6.

Figure 6. Contribution functions of a few of the main lines formed around 2–5 MK, calculated with photospheric abundances. The full lines indicate ions from low-FIP elements, while the dashed lines show those from high-FIP elements. In a few cases, the values have been scaled as indicated.

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5.3. The Near-infrared

As already discussed, the near-infrared is basically an unexplored spectral region, with the exception of the few measurements we have cited. It remains to be seen which spectral lines are observable. According to our simulations, a number of weaker lines should be observable in the QS. Many of them were already pointed out by Judge (1998), but several were not. We predict that, for example, the Fe xii 2.2 μm should be among the strongest lines. The Al ix at 2.2 μm should also be stronger than many other lines in this spectral region. On the other hand, we predict very low signal in the transition-region lines such as Mg viii and Si vii, unless an AR is observed or cooler material is present along the line of sight.

The intensities of the strong Si x 1.43 μm reported by Münch et al. (1967) and Olsen et al. (1971) are in relatively good agreement with our predicted radiances, while the S ix 1.26 μm reported by Olsen et al. (1971) is much stronger than any of our predictions. We know that the atomic model for S ix needs improvement; on the basis of our large-scale calculations, we expect an increase by a factor of 2–3, but that might not seem sufficient to explain the observed intensity of this line. Regarding the other upper limits listed by Olsen et al. (1971), they are compatible with our rough estimates.

On a side note, we point out that several strong lines from H and He are predicted to be visible, and indeed have been reported by Olsen et al. (1971).

As shown in Figure 4, the S xi ratio is one of the best available across the whole visible/infrared spectrum, considering that it is not much affected by photoexcitation, and lines are relatively close in wavelength. We expect these lines to be visible.

As Figure 5 shows, excellent diagnostics for the FIP effect are available with S ix 1.26 μm and S xi 1.92 μm, in combination with, e.g., observations of the Si ix 3.93 μm and Si xi 1.93 μm. We note that three of these lines are in the Air-Spec spectral range, and appear to have been successfully observed in the 2017 eclipse.

5.4. A Few Notes about DKIST CryoNIRSP

In its current design, the CryoNIRSP will produce routine measurements in a number of spectral bandpasses of about 20 Å in the visible and 100 Å in the infrared (see Fehlmann et al. 2016, for details). In terms of coronal lines, the instrument will observe the following lines: Fe xiv 5304 Å and the Fe xiii doublet of infrared lines at 10750 and 10801 Å, plus several lines in the near-infrared, such as the S ix at 1.25 μm, Si x 1.43 μm, the still unobserved Fe ix and Si ix at 2.22 and 2.58 μm, respectively, the Mg viii at 3.03 μm, and finally the still-unobserved Si ix at 3.93 μm.

The above selection of lines reflects the primary science goal of the DKIST coronal observations: to obtain magnetic field measurements. In fact, this set of lines has an excellent coverage of the QS coronal emission around 1 MK. However, in principle, the instrument is capable of providing groundbreaking results in various other areas.

For example, with its current settings, DKIST will not observe the hot 3 MK emission from ARs. As we have mentioned previously, there is evidence, at the highest spatial resolution (Hi-C and AIA, 0farcs2 and 1''), that the 3 MK emission is not co-spatial with the 1–2 MK emission and has fundamentally different characteristics (see, e.g., Warren et al. 2008; Del Zanna 2013).

Considering the profound influence that ARs have on the overall restructuring and chemical composition of the lower corona, we strongly advise the addition of a few other channels where at least a couple of strong lines formed around 3 MK are observed. There are plenty of options, but well-known strong lines that have been observed are the Fe xv at 7062 Å, the Ca xiii 4087 Å, and the famous yellow coronal line—the Ca xv 5694 Å.

According to the model proposed by Del Zanna et al. (2011) and Bradshaw et al. (2011), interchange reconnection between the 3 MK loops and the surrounding corona continuously takes place high in the corona. This process is, in principle, capable of injecting coronal plasma that was originally present in the closed 3 MK loops into the heliosphere. It is well-known that this plasma has enriched low-FIP elements, so this is a possible means by which ARs enrich the low corona with low-FIP elements, as indeed has been observed in some instances with in situ ACE measurements (Wang et al. 2009). According to the model, some of the so-called coronal outflows, i.e., regions connected to strong magnetic polarities (sunspots and moss) are the signatures of outflows into the heliosphere. If this is the case, we need measurements of abundances, flows, densities, and non-thermal widths of 3 MK plasma, because these outflows are only seen in lines formed around 2–3 MK, as shown by Del Zanna (2008) and later confirmed by various authors (see, e.g., Warren et al. 2011).

To confirm this scenario, in view of potentially important synergies with the in situ close-by observations from the Parker's Solar probe and the in situ plus remote-sensing measurements with the suite of instruments aboard Solar Orbiter, it is of paramount importance to give the DKIST CryoNIRSP the capability to measure abundances of 3 MK plasma. Tracing the variations of the chemical composition from the low-corona to the solar wind is an important science goal of Solar Orbiter, and DKIST could provide invaluable information.

As briefly discussed in the previous section, the best combination of lines to measure the FIP effect are the Ar xiii 10143 Å with the Ca xiii 4087 Å, together with the S xiii and Ar xiv, if observed in combination with other lines from low-FIP elements. There is substantial evidence (see, e.g., Del Zanna 2013) that the sulfur abundance in the low-corona varies hand-in-hand with the argon abundance, in the cores of ARs. However, there are in situ measurements where this does not occur. Observing both argon and sulphur lines will hopefully shed light into the physical reasons as to why this happens. See the Living Review by Laming (2015) for more details.

6. Summary and Conclusions

The present benchmark study is very satisfying for the visible forbidden lines, in that all the strongest lines classified with an "A" by Aly et al. (1962b) are now firmly identified, and the latest atomic data provide relatively good agreement with observations, considering the various uncertainties in the calibration of the spectra. For a few spectral lines, we have provided new identifications.

Regarding the lines in class "B," most of them still await identifications and/or the calculation of atomic data. Strangely enough, a few of the lines classified with a "C" have actually been observed in other eclipses and now have a firm identification. We have also provided several new tentative identifications.

In the infrared region of the spectrum, we were unable to provide any meaningful comparison, given the paucity of observations. However, all the lines that have been observed are firmly identified, and we have corrected a few inaccuracies in the literature. As already pointed out by Judge (1998), there are several coronal lines that should be observable in this spectral region. The advantage of observing in this region is the lower sky brightness and lower photospheric continuum emission. The challenge is the transparency of the atmosphere to infrared radiation.

We hope that we have provided enough evidence that the visible and infrared forbidden lines can be used in the near future to measure chemical abundance variations, as well as electron temperatures and densities, alongside coronal magnetic field measurements, if there is enough signal in the polarization measurements. There are exciting opportunities ahead, to finally resolve some of the many mysteries of the solar corona using the forbidden visible and infrared lines.

Regarding the atomic data, improvements in the energies and the atomic rates are needed for several ions. Some of them are in progress, but a significant amount of work still needs to be carried out before all the lines can reliably be used for diagnostic purposes. The issue of laboratory spectroscopy for astrophysics is often overlooked by funding bodies, and indeed the lack of reliable atomic data across the visible and infrared spectrum is no surprise. The present rough guide relied on the atomic data available within CHIANTI version 8 (Del Zanna et al. 2015). The accuracy in the atomic data across the entire wavelength range considered here varies considerably, and further improvements are needed, as discussed in the Appendix. During the present study, we have highlighted several ions where no atomic data are yet available, an issue that we will address in the near future. Further discussions on specific ions of particular diagnostic interest are left for a future paper.

G.D.Z. acknowledges support from STFC (UK) and from SAO (USA) during his visit to CfA. E.E.D. was supported by NSF MRI: Development of an Airborne Infrared Spectrometer (AIR-Spec) for Coronal Emission Line Observation, Award Number: 1531549.

A special thanks goes to the Librarians at the CfA, for providing access to various resources, in particular the Aly et al. (1962b) monograph. The authors thank V. Martinez-Pillet for pointing out the need for a preliminary evaluation of the DKIST potential for coronal diagnostics.

The authors are grateful to the following colleagues for useful comments and discussions: H.E. Mason, L. Golub, P.R. Young, V. Andretta, D. Telloni, J. Raymond, K. Reardon, S. Koutchmy, P. Judge., and J. Samra.

CoMP data are courtesy of the Mauna Loa Solar Observatory, operated by the High Altitude Observatory, as part of the National Center for Atmospheric Research (NCAR). NCAR is supported by the National Science Foundation.

CHIANTI is a collaborative project involving George Mason University, the University of Michigan (USA), and the University of Cambridge (UK).

Appendix: A Few Notes about the Atomic Data

The present assessment would not have been possible without the accurate atomic cross-sections for electron impact excitation recently produced by the UK APAP network for the iron and nickel ions: Fe viii: Del Zanna & Badnell (2014); Fe ix: Del Zanna et al. (2014); Fe x: Del Zanna et al. (2012a); Fe xi: Del Zanna & Storey (2013); Fe xii: Del Zanna et al. (2012b); Fe xiii: Del Zanna & Storey (2012); Fe xiv: Liang et al. (2010); Ni xi: Del Zanna et al. (2014); Ni xii: Del Zanna & Badnell (2016); Ni xv: Del Zanna et al. (2014). For each of these ions, extensive benchmarks have been carried out, so the emissivities of the strongest lines should be reliable to within, say, 10%–30%, depending on the line. Within the CHIANTI version 8 database, such level of accuracy is not present for most of the other ions in the visible and infrared. However, for most the lines of interest, the present atomic data should be accurate enough for the present rough guide.

For Fe xv, the calculations of Berrington et al. (2005) have a similar level of accuracy, while for the Ni xiii and Ni xvi, the calculations of Bhatia & Doschek (1998) and Bhatia & Doschek (1999) will need some improvement.

Considering the magnesium, sulphur, and silicon ions, the cross-sections for the B-like Mg viii, S xii, and Si x calculated by Liang et al. (2012) should be accurate, while those for the other ions need improvement because of the limited calculations (Si ix, S ix by Bhatia & Landi 2003) or because data were interpolated (S xi and S xiii).

Considering the calcium and argon ions, the cross-sections for the F-like Ca xii and Ar x calculated by Witthoeft et al. (2007) should be relatively accurate, while those for the O-like Ca xiii and Ar xi by Landi & Bhatia (2005) and Landi & Bhatia (2006) should be improved. The cross-sections for C-like Ca xv calculated by Aggarwal et al. (1991) should be relatively accurate, while those of Ar xiii (Dere et al. 1979) need improvement. The data for the B-like Ar xiv calculated by Liang et al. (2012) should be accurate.

The atomic data for some of the above ions have been calculated and will be made available with the next version of CHIANTI. We also note that the UK APAP network will be carrying out new large-scale calculations for the C-, N-, and O-like isoelectronic sequences, where the current atomic data are not consistently accurate. This will considerably improve the atomic data for several ions considered in the present paper.

Footnotes

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10.3847/1538-4357/aa9edf