P. R. Young
CCLRC Rutherford Appleton Laboratory, Chilton, Didcot, Oxfordshire, OX11 0QX, UK
Received 6 October 2005 / Accepted 26 October 2005
Abstract
Aims. To determine the neon-to-oxygen abundance in the quiet Sun, a proxy for the photospheric abundance ratio.
Methods. An emission measure method applied to extreme ultraviolet emission lines of Ne IV-VI and O III-V ions observed by the Coronal Diagnostic Spectrometer
on the SOHO satellite.
Results. The average Ne/O abundance ratio in supergranule cell centre regions is
,
while in supergranule network regions is
.
A photospheric Ne/O ratio of
is suggested, in good agreement with the most recent compilation of solar photospheric abundances, but discrepant with a recent Ne/O ratio derived from stellar X-ray spectra and revised neon abundances suggested from solar interior models.
Key words: Sun: abundances - Sun: photosphere - Sun: transition region - Sun: UV radiation
Understanding the physical processes through which the Sun gives rise to the light that is vital for life on Earth is a fundamental challenge of astrophysics. The standard models of the Sun's interior had been considered a great success following the resolution of the solar neutrino flux problem (Ahmad et al. 2002), giving excellent agreement with sound speed and density variation in the solar interior deduced from helioseismology (Bahcall et al. 2005a). Recently, however, revisions to the solar photospheric abundances for the elements carbon, nitrogen, oxygen and neon (Asplund et al. 2005a) have led to discrepancies between the models and parameters derived from helioseismology. Adjustments to the solar opacities and element diffusion rates have been ruled out as solutions to this problem (e.g., Badnell et al. 2005; Guzik et al. 2005), and so attention has focussed on the new element abundance values, and in particular the abundance of neon (Drake & Testa 2005; Bahcall et al. 2005b; Antia & Basu 2005).
Unlike other abundant elements, the abundance of neon can not be
determined by analyses of the solar photospheric spectrum as no
absorption lines of Ne or Ne+ are found there. Instead, the neon
abundance has been inferred indirectly from abundance measurements of
solar energetic particles (Reames 1999). In such measurements, the
neon abundance is referred to oxygen and it is the downward revision
of the oxygen abundance by 0.17 dex that is largely responsible for
the change in the neon abundance from
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to
7.84 (Asplund et al. 2005a; Grevesse & Sauval 1998). By varying parameters in solar
models, Antia & Basu (2005) have suggested that the models and
helioseismological observations could be reconciled by increasing the
neon abundance up to values
-8.44, and
further work by Bahcall et al. (2005b) has yielded a value of
to improve agreement. Independently,
Drake & Testa (2005) have measured Ne/O ratios in the atmospheres of a
sample of active stars giving an average value of 0.52, leading to a
neon abundance of
(assuming the solar
photospheric oxygen abundance). Following this last work, it is
reasonable to ask what is the Ne/O ratio in the Sun's atmosphere.
The solar atmosphere may not seem a promising place to measure photospheric abundances since many years of measurements have demonstrated non-photospheric abundances in the transition region and corona (see, e.g., Feldman & Laming 2000, for a review). However, the abundance anomalies are found to correlate with the first ionization potential (FIP) of the elements, and neon and oxygen are generally considered as high-FIP elements. In addition, the average quiet Sun does not show the FIP effect (Young 2005), and so derived abundances should reflect the photospheric values.
The present work uses extreme ultraviolet spectra obtained from quiet
Sun regions by the Coronal Diagnostic Spectrometer (CDS) on board the
SOHO satellite to determine the Ne/O abundance ratio in the
temperature range
of the Sun's atmosphere. The
derived value is considered a proxy of the photospheric Ne/O ratio.
The same data-sets were used for this analysis as for that of
Young (2005), i.e., 24 sets of SOHO/CDS spectra obtained over a 28
month period from 1996 March to 1998 June. For each observation,
spectra were spatially separated into supergranule network or cell
centre regions based on the intensity of the O V
629.7
emission line. The spectra in each region were then averaged, leading
to 24 sets of network and cell centre spectra.
Temperature overlap between the oxygen and neon ions occurs for the
ions O III-V and Ne IV-VI seen by CDS
(Fig. 1). The atomic transitions and wavelengths of
the neon lines were given in Young (2005), while those for the
oxygen lines are given in Table 1. The emission
line intensities of the neon ions and O V were previously
measured by Young (2005), and so only the O III
599.6
and the four O IV lines were measured here. The four
O IV lines are partially blended with each other, and the
intensity of the total feature was measured and treated as a single
line in the rest of the analysis.
The intensities of the oxygen lines and the Ne VI line were corrected for the narrow slit burn-in caused by degradation of the microchannel plate employed in the NIS detector in the central part of bright emission lines (Lang et al. 2002). Statistical errors from the line-fitting were added in quadrature to relative uncertainty errors in the intensity calibration. The latter vary with wavelength for the different lines from 20% to 29% (Lang et al. 2002).
Table 1: Oxygen emission lines used in the present analysis. Transitions within 0.4 Å are blended in the CDS spectra. Wavelengths are from v5.1 of the CHIANTI database (Landi et al. 2005).
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Figure 1: Ionization fraction curves from Mazzotta et al. (1998) for the neon and oxygen ions. |
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Following Young (2005), the variation of plasma with temperature
through the solar atmosphere is modelled through discretising the
plasma into isothermal regions spaced at temperature intervals of
0.1 dex. The temperature range is chosen to span the regions where
the neon and oxygen ions are formed, i.e.,
(see also Fig. 1). At each of these 13
temperatures, there is a plasma column depth, hi (i=0-12), but
only the values of hi at temperatures
and 5.8 (i.e., h0, h6 and h12) are allowed to vary. Values
of hi at intermediate temperatures are derived by linear
interpolation in the
-
plane during the
minimization procedure. In deriving the hi values, the absolute
abundance of one element must be assumed, and I take the new
photospheric abundance of oxygen:
(Asplund et al. 2005a).
There are thus four parameters - A(Ne)/A(O), h0, h6 and
h12 - to be fit to the six observed oxygen and neon
intensities. The line intensities are modelled through Eq. (1) of
Young (2005), and atomic data are from v.5.1 of the CHIANTI
database (Landi et al. 2005). The minimization procedure of
Young (2005) is applied, and the Ne/O abundance ratios for each of
the 24 data-sets in the network and cell centre regions are displayed
in Fig. 2. The error bars for each point are derived
through the
minimization procedure and are around
,
principally arising from the uncertainties in the line
intensities.
The statistical average of the Ne/O abundance ratio in the cell centre
regions is
,
while in the network regions it is
.
The derived values over the 28 month period are remarkably
consistent.
A fixed pressure of 1014.5 K cm-3 was assumed for the analysis (see Young 2005), but assuming a constant density instead does not make a significant difference to the results, as shown in Table 2 where results for densities of 109 and 1010 cm-3 are shown.
Atomic data uncertainties have not been included in the analysis and
are likely to be significant, particularly for the ionization
fractions of the ions. To investigate the effects of modified ion
fractions in a simplistic manner, the analysis was repeated by
shifting the ion fractions, F, of only the neon ions forwards and
backwards in temperature by 0.1 dex. I.e.,
or
,
respectively. The results of this are
shown in Table 2, where
indicates the neon
ions have been moved forward in temperature, and
backwards in temperature. The effects are again small, and we use
these results to give final error bars of
and
on the Ne/O relative abundance in cell centre and network
regions.
To demonstrate consistency with the analysis of Young (2005), the hi values from a single data-set are compared with those from Fig. 3 of Young (2005) and excellent agreement is found in the overlap region. The column depths from the Ne/O analysis have been scaled downwards by a factor 0.263 due to the different reference abundance used (oxygen in the present analysis, and neon in the Young 2005, analysis).
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Figure 2: The derived Ne/O abundance ratios for the network ( upper panel) and cell centre ( lower panel) regions as a function of time. The black horiontal line denotes the photospheric Ne/O abundance ratio (Asplund et al. 2005a). |
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Table 2: A(Ne)/A(O) values derived for different assumptions: fixed pressure, fixed density, and displacements of the neon ion fractions.
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Figure 3: A comparsion of column depths (h) derived from the present analysis (solid line) with those from Young (2005) (dashed line) for the network spectrum from CDS data-set s10133r00. The curves are scaled to remove the dependence on the reference abundances (see text). |
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As a further check on the reliability of the results, the derived
column depths were used to predict the intensity of the O VI
1032 line in cell centre and network regions using atomic data
from CHIANTI. Although not observed by CDS, this line was measured by
the Harvard S055 instrument on board Skylab and
Vernazza & Reeves (1978) give average intensities of 474 and 223 erg cm-2 s-1 in
network and cell centre regions, respectively. Averaging the predicted
intensities from each of the 24 data-sets here gives values of
and
,
in excellent agreement with the
Vernazza & Reeves (1978) values.
Averaging the derived abundance ratios for the supergranule network
and cell centre regions gives a value of A(Ne)/A(O) of
,
in excellent agreement with the ratio of
given
by the solar photospheric abundance tables of Asplund et al. (2005a). No
evidence is found for the enhanced Ne/O abundances found by
Drake & Testa (2005) from analyses of X-ray spectra of active cool star
atmospheres.
The advantage of studying the quiet Sun is that it is relatively stable compared with the hot active region (likely flaring) plasma that gives rise to the X-ray neon and oxygen lines in active stars. This is reflected in the remarkably consistent value of the Ne/O ratio over the 28 months of CDS observations (Fig. 2). Observations of solar flares have demonstrated Ne/O variations of a factor 2 between different events (e.g., Fludra & Schmelz 1995), while stellar atmospheres show abundance patterns not consistent with the solar corona (e.g., Drake et al. 2001), which could imply as yet unknown processes causing the modifications from the photospheric Ne/O ratios.
Using the photospheric abundance of oxygen from Asplund et al. (2005a) my
results lead to a
value of
which is
in good agreement with the value
given by
Asplund et al. (2005a), but not consistent with the neon abundances
suggested by Antia & Basu (2005) and Bahcall et al. (2005b).
The conclusion from the present analysis is thus that the photospheric abundance of neon is not responsible for the discrepancies between standard solar models and helioseismological observations. Further confirmation of this result is provided by Schmelz et al. (2005) who have analysed solar active region spectra from the Flat Crystal Spectrometer flown on board the Solar Maximum Mission, while additional arguments for a low neon abundance are given in Asplund et al. (2005b).