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Published in ApJL.
Preprint typeset using LATEX style emulateapj v. 04/17/13
HIGH PRECISION ABUNDANCES OF THE OLD SOLAR TWIN HIP 102152: INSIGHTS ON LI DEPLETION
FROM THE OLDEST SUN*
TalaWanda R. Monroe1
, Jorge Mel´endez1
, Iv´an Ram´ırez2
, David Yong3
, Maria Bergemann4
, Martin Asplund3
,
Jacob Bean5
, Megan Bedell5
, Marcelo Tucci Maia1
, Karin Lind6
, Alan Alves-Brito3
, Luca Casagrande3
,
Matthieu Castro7
, Jos´e–Dias do Nascimento7
, Michael Bazot8
, and Fabr´ıcio C. Freitas1
Published in ApJL.
ABSTRACT
We present the first detailed chemical abundance analysis of the old 8.2 Gyr solar twin, HIP 102152.
We derive differential abundances of 21 elements relative to the Sun with precisions as high as 0.004
dex ( 1%), using ultra high-resolution (R = 110,000), high S/N UVES spectra obtained on the 8.2-m
Very Large Telescope. Our determined metallicity of HIP 102152 is [Fe/H] = -0.013 ± 0.004. The
atmospheric parameters of the star were determined to be 54 K cooler than the Sun, 0.09 dex lower
in surface gravity, and a microturbulence identical to our derived solar value. Elemental abundance
ratios examined vs. dust condensation temperature reveal a solar abundance pattern for this star, in
contrast to most solar twins. The abundance pattern of HIP 102152 appears to be the most similar
to solar of any known solar twin. Abundances of the younger, 2.9 Gyr solar twin, 18 Sco, were also
determined from UVES spectra to serve as a comparison for HIP 102152. The solar chemical pattern
of HIP 102152 makes it a potential candidate to host terrestrial planets, which is reinforced by the lack
of giant planets in its terrestrial planet region. The following non-local thermodynamic equilibrium
Li abundances were obtained for HIP 102152, 18 Sco, and the Sun: log (Li) = 0.48 ± 0.07, 1.62 ±
0.02, and 1.07 ± 0.02, respectively. The Li abundance of HIP 102152 is the lowest reported to date
for a solar twin, and allows us to consider an emerging, tightly constrained Li-age trend for solar twin
stars.
Keywords: stars: abundances — Sun: abundances — planetary systems
1. INTRODUCTION
When compared to most stars with similar stellar pa-
rameters, the Sun displays an anomalous chemical abun-
dance pattern. To date, high-resolution spectroscopic
chemical abundance analyses offer that only ∼15% of so-
lar type stars have abundance patterns similar to the Sun
(Mel´endez et al. 2009; Ram´ırez et al. 2009). The dis-
parity between the Sun and other solar twins has been
demonstrated in a number of studies (e.g., Mel´endez et
al. 2009; Ram´ırez et al. 2010, 2011; Gonzalez et al.
2010a; Schuler et al. 2011), and is possibly due to the
formation of terrestrial planets. Planetesimal and terres-
trial planet formation may have imprinted a signature in
the solar composition by locking-up refractory elements
tmonroe@usp.br
1 Departamento de Astronomia do IAG/USP, Universidade de
S˜ao Paulo, Rua do Mat˜ao 1226, Cidade Universit´aria, 05508-900
S˜ao Paulo, SP, Brasil
2 McDonald Observatory, The University of Texas at Austin,
Austin, TX 78712, USA
3 Research School of Astronomy and Astrophysics, The Aus-
tralian National University, Cotter Road, Weston, ACT 2611,
Australia
4 Max Planck Institute for Astrophysics, Postfach 1317, 85741
Garching, Germany
5 Department of Astronomy and Astrophysics, University of
Chicago, 5640 S. Ellis Ave, Chicago, IL 60637, USA
6 Institute of Astronomy, University of Cambridge, Madingley
Road, Cambridge, CB3 0HA, UK
7 Departamento de F´ısica Te´orica e Experimental, Universi-
dade Federal do Rio Grande do Norte, 59072-970 Natal, RN,
Brazil
8 Centro de Astrof´ısica da Universidade do Porto, Rua das Es-
trelas, 4150-762 Porto, Portugal
* Based on observations obtained at the European Southern
Observatory (observing programs 083.D-0871 and 188.C-0265).
in the surrounding disk, and leaving behind material low
in refractory elements to later accrete onto the Sun.
In this letter, we present elemental abundance ratios
as a function of condensation temperature for the ∼8.2
Gyr old solar twin HIP 102152 (HD 197027). This 1 M
star (0.97 M ; current study) that is about to leave the
main sequence is of interest not only because it has an
abundance pattern similar to the Sun, thus making it
an excellent older solar analog for comparative studies,
but also because its solar abundance pattern may suggest
that this star is a candidate host for terrestrial planets.
We also include abundances of the younger 2.9 Gyr so-
lar twin 18 Sco and examine systematic differences be-
tween refractory and volatile elements in this representa-
tive solar twin and the older HIP 102152. Additionally,
we report Li abundances for the two stars and examine
the tight Li-age depletion trend of solar twins studied at
high-resolution, bringing further insights to the debate
of whether low lithium is a signature of planets, or just
an effect of secular stellar depletion (e.g., Takeda et al.
2007; Takeda & Tajitsu 2009; Ram´ırez et al. 2012; Bau-
mann et al. 2010; Ghezzi et al. 2010; Gonzalez et al.
2010b; Israelian et al. 2009).
2. SPECTROSCOPIC OBSERVATIONS AND REDUCTIONS
Spectra of HIP 102152 and 18 Sco were obtained
with the Ultra-violet and Visible Echelle Spectrograph
(UVES; Dekker et al. 2000) on the 8.2-m Very Large
Telescope (VLT) at the ESO Paranal Observatory. Ob-
servations were carried out on 30 August 2009, with air
masses of 1.1–1.5 for HIP 102152 and 1.6–1.7 for 18 Sco.
Multiple exposures were obtained at three spectrograph
configurations (six exposures per configuration) for each
2 Monroe et al.
star to achieve redundancy in the observations around
the Li doublet at λ6708˚A, with individual exposure times
of 10–20 min for HIP102152 and 45–90 s for the brighter
18 Sco. Spectral coverage included 3060–3870˚A, 4800–
5770˚A, 5850–8200˚A, and 8430–10200˚A, with incomplete
coverage in the near-infrared due to gaps between echelle
orders. The spectral resolving powers were R(λ/δλ) =
65,000 at λ3060–3870˚A, and R = 110,000 for λ4800–
10200˚A. The asteroid Juno was also observed with the
same spectrograph setups, and served as the solar refer-
ence in our differential analysis.
Standard reductions were carried out in IRAF, in-
cluding bias subtraction, flat fielding, wavelength cal-
ibrations, spectral order extractions, and spectra co-
additions. Continuum normalization was performed on
the combined one-dimensional spectra in IDL. Final com-
posite spectra had signal-to-noise (S/N) ratios that var-
ied across the spectral orders, but had a typical S/N∼500
pixel−1
. It should be noted that our spectrograph setups
allowed us to achieve S/N∼1000 pixel−1
in the contin-
uum regions about the Li feature at λ6708˚A.
3. ANALYSIS
3.1. Chemical Abundances
Chemical abundances of most species were determined
similarly to the methods outlined in Mel´endez et al.
(2012). Equivalent width analyses were performed using
the abfind driver in the local thermodynamic equilibrium
(LTE) line analysis code MOOG (2002 version; Sneden
1973) and Kurucz (ATLAS9) model atmospheres, with-
out convective overshooting (Castelli & Kurucz 2004).
LTE abundances were determined for the following
Z≤30 elements in our analysis: C, N, O, Na, Mg, Al, Si,
S, K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, and Zn; and
are included in Table 1. The line list was mostly taken
from Mel´endez et al. (2012). Equivalent width (EW)
measurements were first made with the automated code
ARES (Sousa et al. 2007). Lines were measured by hand
in both the star and Sun with the IRAF task splot when
the EW < 10 m˚A, or if the species had five or fewer
lines. Additionally, lines that were found to be outliers
from the mean abundance of a species were also mea-
sured by hand. Measurements were performed by fitting
a single Gaussian profile to the line profile, or deblend-
ing multiple Gaussian profiles when necessary. To aid in
continuum placement, the observed solar spectrum was
overplotted on each stellar line. The measurements for
the star and Sun were then made in an identical manner,
using the same regions of continuum.
All elemental abundances were computed line-by-line
differentially with respect to the Sun, using the same
line list. A strictly differential approach was taken to
decrease the additional line-to-line scatter that can arise
from uncertainties in the adopted transition probabili-
ties. Also, the differential approach minimizes system-
atic errors in the determinations of stellar parameters,
as well as systematic uncertainties in the abundances
due to deficiencies in the model atmospheres. For the
odd-Z elements of V, Mn, Co, and Cu, we took into ac-
count effects of hyperfine splitting (HFS). Abundances of
these elements were performed using our measured EWs
and the blends driver in MOOG, which allowed us to
consider the numerous individual components and wave-
length splittings of the measured lines. The HFS line lists
used were adopted from Mel´endez et al. (2012). Addi-
tionally, abundances of the Li resonance doublet feature
at λ=6708˚A were determined using spectrum synthesis,
and will be discussed below. Differential NLTE correc-
tions were shown to be very small in solar twins relative
to the Sun (∼0.001 dex) by Mel´endez et al.; therefore,
we did not take them into account in this study, except
for Cr, Mn, and Co (e.g., Bergemann & Cescutti 2010).
The sensitivity of our differential chemical abundances
to the choice of model atmosphere grid has been shown
to be negligible (Mel´endez et al.).
3.2. Atmospheric Parameters
Abundances were first determined for the Sun using
the standard solar atmospheric parameters of Teff =5777
K and log g=4.44. We determined our own value of
the solar microturbulent velocity (vt) by using the com-
mon spectroscopic technique of removing any trend be-
tween the abundances of Fe I lines and reduced equivalent
width. The resulting microturbulence was vt = 0.86 km
s−1
, although this value was individually tweaked slightly
for the analyses of both HIP 102152 and 18 Sco.
An initial EW analysis was performed for the stars us-
ing the above atmospheric parameters adopted for the
Sun. Effective temperatures (Teff ) for the program stars
were initially set at the solar value and then refined
by employing excitation equilibrium on the differential
abundances of the Fe I lines. That is, all trends between
the differential abundances of each line with excitation
potential (EP) were removed. Stellar microturbulences
were refined by removing trends between the differen-
tial abundances and reduced EW. Surface gravities (log
g) were incrementally adjusted from solar to arrive at
ionization balance between the average differential iron
abundances derived from Fe I and Fe II lines.
Final atmospheric parameters for the stars are pre-
sented in Table 1. We determined the following values
for HIP 102152: Teff = 5723±5 K, log g = 4.35±0.02
dex, and vt = 0.86±0.01 km s−1
(∆vt = 0.0 km s−1
for
vt, = 0.86 km s−1
). The differential stellar parameters
between HIP 102152 and the Sun are therefore -54 K in
Teff , -0.09 dex in log g, and 0.0 km s−1
in microturbu-
lence, and thus confirm that this older dwarf is excellent
for comparisons to the Sun. Our Teff is in good agree-
ment with previous spectroscopic determinations by the
lower resolution studies by Ram´ırez et al. (2009), who
reported a temperature of 5746±50 K, and Baumann et
al. (2010), who report a Teff of 5737±47 K. The pre-
vious estimates of surface gravities are also in excellent
agreement with our determinations: log g = 4.40±0.07
(Ram´ırez et al.) and 4.35±0.06 (Baumann et al.). Our
atmospheric parameters for 18 Sco (Teff = 5824±5 K,
log g = 4.45±0.02 dex, and vt = 0.89±0.01 km s−1
)10
are also in agreement with independent determinations
in Mel´endez et al. (2012; 2013). We estimate that the
uncertainties in Teff , log g, microturbulence, and metal-
licity of the adopted model atmospheres are 5K, 0.02
dex, 0.01 km s−1
, and 0.01 dex, respectively. These er-
rors include consideration of measurement uncertainties
and the degeneracies in the stellar parameters. Abun-
dance uncertainties for each element due to the errors
10 ∆vt = 0.02 km s−1 for vt, = 0.87 km s−1.
Abundances of the Old Solar Twin HIP 102152 3
in the stellar parameters are included in Table 1. The
last column in the table includes a total uncertainty for
each element, obtained by adding in quadrature the un-
certainties from the stellar parameters and observational
standard error of the mean (SEM). The cumulative error
from the stellar parameters is 0.004 dex for [Fe/H].
4. SOLAR ABUNDANCE TREND OF HIP 102152
The metallicities of HIP 102152 and 18 Sco were deter-
mined to be [Fe/H] = -0.013 ± 0.004 and 0.055 ± 0.004,
respectively, as indicated in Table 1. The solar metallic-
ity of HIP 102152 and slightly supersolar abundance of
18 Sco were also reported in Baumann et al. (2010), who
similarly found [Fe/H] = -0.010 ± 0.022 for HIP 102152
and [Fe/H] = 0.051 ± 0.020 for 18 Sco.
Elemental abundance ratios ([X/<C,O>]) of species
with Z≤30 are plotted vs. equilibrium condensation
temperature (TC) for HIP 102152 and 18 Sco in Fig-
ure 1. The abundance ratios are relative to the average
of the carbon and oxygen abundances (<C,O>), since
those elements may be undepleted in the solar atmo-
sphere (Mel´endez et al. 2009, 2012), and allow us to
visually compare volatile (TC < 900 K) and refractory
(TC > 900 K) species easily. The differential abundances
of HIP 102152 display a pattern that is similar to solar,
with a slope (solid line) consistent with zero (-3.7 × 10−6
± 9.9 × 10−6
K−1
) and an element-to-element scatter of
0.012 dex, after excluding three outliers (N, Na, and Co)
that have abundances significantly lower than the rest.
Given the large age of HIP 102152, the low abundances
of these three elements may be due to a lower contribu-
tion from Type Ia supernovae (Co; Figure 7 in Mel´endez
et al. 2012) and asymptotic giant branch (AGB) stars (N
and Na). We will re-examine these possible scenarios for
our larger sample of solar twins of disparate ages. Abun-
dance ratios of neutron capture elements with Z>30 also
appear roughly solar for the r-process elements, but the
s-process elements appear deficient, which is consistent
with the low N and Na abundances resulting from the
lower AGB contribution. These results will be presented
elsewhere.
In contrast, our abundances of 18 Sco in Figure 1 agree
with previous studies (e.g., Mel´endez et al. 2012), which
show the star has an abundance pattern similar to other
solar twins. That is, the refractory elements are en-
hanced relative to the volatile species, as illustrated by
the dashed line. A similar correlation has been demon-
strated on larger samples of solar twins in a number
of high-resolution studies (e.g., Mel´endez et al. 2009;
Ram´ırez et al. 2009; Schuler et al. 2011). The element-
to-element scatter for 18 Sco is low, at 0.010 dex. As
shown in Figure 1, the abundances of refractory elements
between HIP 102152 and 18 Sco differ by as much as 0.07
dex.
5. LITHIUM ABUNDANCE VS. STELLAR AGE
LTE lithium abundances were determined for
HIP 102152, 18 Sco, and the Sun with spectrum syn-
thesis using the synth driver in MOOG. We estimate
the solar Li abundance to be log (Li) = 1.03 ± 0.02,
in strong agreement with the reported value of log
(Li) = 1.05 ± 0.10 by Asplund et al. (2009). As shown
in Figure 2, the Li doublet is weak in the spectrum of
HIP 102152, compared to the also depleted solar line.
The high S/N ∼1000 pixel−1
in the region about the
line allows us to place bounds on the Li abundance of
HIP 102152 from log (Li) ∼0.37–0.51 dex, with a best
estimate of log (Li) = 0.43 ± 0.07. In contrast, the
line of the younger solar twin, 18 Sco, is much stronger.
We estimate the abundance of this star to be log (Li)
= 1.58 ± 0.02. NLTE Li abundance corrections were
determined as in Lind et al. (2009), and estimated to
be +0.04 dex for 18 Sco and the Sun, and +0.05 dex for
HIP 102152.
Ischronal ages and masses were estimated for
HIP 102152 and 18 Sco using Yonsei-Yale isochrones
(Kim et al. 2002) based on their stellar parameters and
associated errors using probability distribution functions
as described in Mel´endez et al. (2012). In Figure 3 we
present NLTE Li abundances vs. isochronal stellar age
for a small group of solar twins studied at high-resolution
(R>60,000) and high S/N (>400), along with four theo-
retical Li abundance models for a solar-mass, solar metal-
licity star (Charbonnel & Talon 2005; do Nascimento et
al. 2009; Xiong & Deng 2009; and Denissenkov 2010).
From the published studies, we chose a model that best
represented the Li abundance data. In the interest of
better characterizing and constraining the timescale of Li
depletion models, we are concentrating on studies with
high quality data for two reasons. (1) For stars younger
than the Sun, these constraints limit uncertainties in age,
which have unfortunately impeded previous studies (e.g.,
Baumann et al. 2010), and (2) for stars older than the
Sun, the high S/N ratios are crucial for obtaining accu-
rate measurements using very weak Li lines (see Figure
2), which have restricted previous attempts (e.g., Takeda
et al. 2007). In Figure 3 Li abundances of HIP 102152,
18 Sco, and the Sun are from the current study, while
the abundances and ages of HIP 56948 and 16 Cyg B
were taken from Mel´endez et al. (2012) and Ram´ırez
et al. (2011), respectively. Age determinations for all
the stars were determined using the same method. Re-
cently, do Nascimento et al. (2013) reported an old 6.7
Gyr solar twin with a low Li abundance of log (Li)
≤ 0.85 dex, but this value is unfortunately limited by
low S/N observations. As predicted and demonstrated
previously, older stars show significantly more depletion
than younger stars, with the abundance of HIP 102152
being the lowest Li abundance reported for a solar twin
to date. This low abundance along with the abundance
of the widely separated binary star 16 Cyg B may be
useful in distinguishing between the depletion models, as
well as helping to constrain the models for the upper end
of the age range of solar-like main sequence stars, where
the models start to diverge or are incomplete. Over-
all the models represent the data well for the parameter
space covered. Given this surprisingly tight preliminary
correlation, we are currently analyzing a larger set (∼15)
of solar twins of disparate ages observed with UVES to
further fill in this diagram and hopefully confirm and
strengthen the trend.
6. DISCUSSION & CONCLUSIONS
The solar twin HIP 102152 is notably similar to the
Sun in mass, effective temperature, surface gravity, mi-
croturbulence, and metallicity. The solar abundance
pattern of HIP 102152 that we report is the closest to
the solar pattern published to date, using high preci-
4 Monroe et al.
sion abundances. The abundance ratios of HIP 102152
show no enhancements of refractory elements compared
to volatile species, unlike other solar twins such as 18 Sco.
The abundances of the old star HIP 102152 are even
closer to solar than the abundances of HIP 56948, a so-
lar twin previously found to be the most similar to the
Sun (Mel´endez et al. 2012).
The Sun appears deficient in refractory elements rel-
ative to volatile species, when compared to other solar
twins (Mel´endez et al. 2009). Assuming the solar twins
and the Sun formed under similar conditions, from gas
of similar composition, then the solar refractory elements
must be tied-up somewhere. A reasonable inference by
many authors is that the observed pattern is due to
the accretion of dust-depleted gas onto the pre-main se-
quence Sun (e.g., Nordlund 2009; Chambers 2010). Per-
haps one of the more tantalizing mechanisms that has
been suggested to produce dust-depleted gas in a na-
tal disk is the formation of planetesimals and terrestrial
planets, since the abundance patterns of the inner solar-
system planets and meteorites are conversely enhanced in
refractory elements (Ciesla 2008; Alexander et al. 2001).
If the solar abundance pattern is in fact a consequence of
terrestrial planet formation, then other stars with abun-
dance patterns similar to the Sun may be identified as
potential rocky planet hosts. In fact, the solar abun-
dance pattern of HIP 102152 makes it a prime potential
candidate host for terrestrial planets11
. This star is in-
cluded in our long-term radial velocity monitoring survey
of solar twins being carried out with HARPS on the ESO
3.6-m telescope; however, current observations show no
evidence of velocity variations that may be attributed to
giant planets within 2 AU (see Figure 4).
While most stellar parameters of HIP 102152 are vir-
tually identical to the Sun, the age of the star is signifi-
cantly larger, by ∼3.6 Gyr. The star’s old age and physi-
cal similarities to the Sun make HIP 102152 an excellent
older analog for the Sun. In particular, this star is ideal
for exploring the potential evolution of the Sun’s lithium
abundance, by probing the older end of the lithium-age
trend both observationally and theoretically. Lithium is
severely depleted in HIP 102152, as predicted. This star
along with other solar twins firmly demonstrate that the
Sun’s Li has depleted as predicted for a star with its age,
mass, and metallicity. Previously, the apparently low so-
lar Li abundance has been of concern for investigations
that have compared the Sun to other solar analogs, with
a broader range of stellar parameters (e.g., Lambert &
Reddy 2004). However, when comparisons of the Sun’s
Li abundance are made strictly to other solar twins, the
Sun appears normal (Mel´endez et al. 2010). The small
amount of scatter found about the Li-age relation for
the sample of stars considered here is encouraging, and
worthy of followup. This may be accomplished with the
ongoing spectroscopic analysis of our larger sample of
solar twins. The high-resolution and high S/N of our
UVES spectra are allowing us to determine more precise
stellar parameters for the sample, and thus more precise
isochronal ages. It is expected that our remaining data
set will address the longstanding problem of Li depletion
11 Alternatively, stars born in a dense cluster may be subject
to radiation pressure that may deplete dust in the circumstellar
environment (e.g., ¨Onehag et al. 2011).
and provide tight constraints for non-standard models of
temporal Li evolution.
Some authors have claimed enhanced Li depletion in
planet hosts, but Li-age trends have been largely ignored
or not detected due to age determination uncertainties.
Here we have derived reliable ages and highly-precise Li
abundances, leading to a well-defined Li-age correlation
that demonstrates the importance of the age bias in Li-
planet studies.
TRM and JM acknowledge support from FAPESP
(2010/19810-4 and 2012/24392-2). IR’s work was per-
formed under contract with Caltech, funded by the
NASA Sagan Fellowship Program. We thank Bengt
Gustafsson and Stefan Dreizler for useful comments.
Facility:VLT:Kueyen (UVES).
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Abundances of the Old Solar Twin HIP 102152 5
Figure 1. Differential abundance ratios of HIP 102152 (filled cir-
cles) and 18 Sco (open squares) vs. dust condensation temperature.
Plotted abundances are relative to <C,O>. Error bars include con-
tributions from the observational uncertainties (SEM) and errors
associated with the stellar atmospheric parameters. Weighted lin-
ear fits are included for both stars (solid line: HIP 102152; dashed
line: 18 Sco). Three outliers are labelled.
Figure 2. The spectral region about the Li doublet at λ6708˚A
of HIP 102152 and 18 Sco. The stellar spectra are plotted with
circles. The solar spectrum is overlaid with a solid line in each
panel, to visually demonstrate Li depletion with age. The inset
panel shows the synthetic spectrum (solid line) used to determine
the Li abundance of HIP 102152.
Figure 3. NLTE Li abundance vs. isochronal age for the Sun and
solar twins observed at high-resolution with high S/N. Li abun-
dance determinations for HIP 102152, 18 Sco, and the Sun were
determined for this study. Abundances of the other stars were
taken from the literature, as noted in the text. Error bars for Li
are smaller than the data points. Model predictions are also in-
cluded and these models have been offset to intersect our derived
solar Li abundance.
Figure 4. Detection limits based on our HARPS data are shown
for different eccentricities (e). Planets above the curves are ruled
out.
– 21 –
Table 1. Stellar Abundances [X/H] and Errors
Element [X/H] SEM N ∆Teff ∆log g ∆vt ∆[Fe/H] ∆Parameters Total Unc.
(+5 K) (+0.02 dex) (+0.01 km s−1) (+0.01 dex)
HIP 102152 (5723 ± 5 K, log g = 4.35 ± 0.02, ∆vt = 0.00 ± 0.01 km s−1, log (Li) = 0.48 ± 0.07)
C -0.006 0.006 4 -0.005 0.005 0.000 -0.001 0.007 0.010
N -0.060 0.013 1 -0.005 -0.001 -0.003 -0.009 0.011 0.017
O 0.003 0.004 3 -0.007 0.002 -0.001 0.000 0.007 0.008
Na -0.057 0.006 3 0.002 0.000 0.000 0.001 0.003 0.007
Mg 0.013 0.012 3 0.002 -0.002 -0.001 0.001 0.003 0.012
Al 0.002 0.005 6 0.002 -0.002 0.000 0.001 0.003 0.005
Si -0.012 0.002 13 0.000 0.001 -0.001 0.001 0.002 0.003
S -0.017 0.012 6 -0.004 0.004 0.000 -0.001 0.006 0.013
K -0.001 0.003 1 0.004 -0.008 -0.002 0.003 0.009 0.010
Ca -0.003 0.002 10 0.003 -0.003 -0.002 0.002 0.005 0.006
Sc -0.016 0.004 9 0.000 0.007 -0.002 0.003 0.008 0.009
Ti -0.005 0.003 21 0.005 0.000 -0.001 0.001 0.005 0.006
V -0.035 0.001 9 0.005 0.001 -0.001 0.001 0.005 0.005
Cr -0.016a 0.002 16 0.004 -0.002 -0.002 0.002 0.005 0.005
Mn -0.026a 0.004 5 0.003 -0.003 -0.002 0.002 0.005 0.007
Fe -0.013 0.001 87 0.003 -0.001 -0.002 0.002 0.004 0.004
Co -0.076a 0.003 8 0.004 0.002 -0.001 0.002 0.005 0.006
Ni -0.039 0.002 17 0.003 0.000 -0.002 0.002 0.004 0.004
Cu -0.021 0.007 4 0.003 0.000 -0.002 0.002 0.004 0.008
Zn -0.007 0.013 2 -0.001 0.002 -0.002 0.002 0.003 0.013
18 Sco (5824 ± 5 K, log g = 4.45 ± 0.02, ∆vt = 0.02 ± 0.01 km s−1, log (Li) = 1.62 ± 0.02)
C -0.012 0.009 4 · · · · · · · · · · · · · · · 0.012
N -0.003 0.013 1 · · · · · · · · · · · · · · · 0.017
O -0.008 0.006 3 · · · · · · · · · · · · · · · 0.009
Na 0.019 0.003 3 · · · · · · · · · · · · · · · 0.004
Mg 0.043 0.002 1 · · · · · · · · · · · · · · · 0.004
Al 0.031 0.009 6 · · · · · · · · · · · · · · · 0.009
Si 0.048 0.002 13 · · · · · · · · · · · · · · · 0.003
S 0.005 0.006 6 · · · · · · · · · · · · · · · 0.008
K 0.039 0.004 1 · · · · · · · · · · · · · · · 0.010
– 22 –
Table 1—Continued
Element [X/H] SEM N ∆Teff ∆log g ∆vt ∆[Fe/H] ∆Parameters Total Unc.
(+5 K) (+0.02 dex) (+0.01 km s−1) (+0.01 dex)
Ca 0.058 0.003 9 · · · · · · · · · · · · · · · 0.006
Sc 0.036 0.002 9 · · · · · · · · · · · · · · · 0.008
Ti 0.055 0.002 21 · · · · · · · · · · · · · · · 0.005
V 0.041 0.002 9 · · · · · · · · · · · · · · · 0.006
Cr 0.059a 0.001 16 · · · · · · · · · · · · · · · 0.005
Mn 0.042a 0.004 5 · · · · · · · · · · · · · · · 0.006
Fe 0.055 0.001 85 · · · · · · · · · · · · · · · 0.004
Co 0.024a 0.003 8 · · · · · · · · · · · · · · · 0.006
Ni 0.041 0.001 17 · · · · · · · · · · · · · · · 0.004
Cu 0.039 0.007 3 · · · · · · · · · · · · · · · 0.008
Zn 0.009 0.012 2 · · · · · · · · · · · · · · · 0.012
Note. — Abundances of V, Mn, Co, and Cu account for HFS.
aNLTE abundances are reported for these elements. LTE abundances for HIP 102152 are [Cr/H] = -0.019, [Mn/H] = -0.044, and
[Co/H] = -0.049. LTE abundances for 18 Sco are [Cr/H] = 0.060, [Mn/H] = 0.045, and [Co/H] = 0.028.

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High precision abundances_of_the_old_solar_twin_insights_on_li_depletion_from_the_oldest_sun

  • 1. Published in ApJL. Preprint typeset using LATEX style emulateapj v. 04/17/13 HIGH PRECISION ABUNDANCES OF THE OLD SOLAR TWIN HIP 102152: INSIGHTS ON LI DEPLETION FROM THE OLDEST SUN* TalaWanda R. Monroe1 , Jorge Mel´endez1 , Iv´an Ram´ırez2 , David Yong3 , Maria Bergemann4 , Martin Asplund3 , Jacob Bean5 , Megan Bedell5 , Marcelo Tucci Maia1 , Karin Lind6 , Alan Alves-Brito3 , Luca Casagrande3 , Matthieu Castro7 , Jos´e–Dias do Nascimento7 , Michael Bazot8 , and Fabr´ıcio C. Freitas1 Published in ApJL. ABSTRACT We present the first detailed chemical abundance analysis of the old 8.2 Gyr solar twin, HIP 102152. We derive differential abundances of 21 elements relative to the Sun with precisions as high as 0.004 dex ( 1%), using ultra high-resolution (R = 110,000), high S/N UVES spectra obtained on the 8.2-m Very Large Telescope. Our determined metallicity of HIP 102152 is [Fe/H] = -0.013 ± 0.004. The atmospheric parameters of the star were determined to be 54 K cooler than the Sun, 0.09 dex lower in surface gravity, and a microturbulence identical to our derived solar value. Elemental abundance ratios examined vs. dust condensation temperature reveal a solar abundance pattern for this star, in contrast to most solar twins. The abundance pattern of HIP 102152 appears to be the most similar to solar of any known solar twin. Abundances of the younger, 2.9 Gyr solar twin, 18 Sco, were also determined from UVES spectra to serve as a comparison for HIP 102152. The solar chemical pattern of HIP 102152 makes it a potential candidate to host terrestrial planets, which is reinforced by the lack of giant planets in its terrestrial planet region. The following non-local thermodynamic equilibrium Li abundances were obtained for HIP 102152, 18 Sco, and the Sun: log (Li) = 0.48 ± 0.07, 1.62 ± 0.02, and 1.07 ± 0.02, respectively. The Li abundance of HIP 102152 is the lowest reported to date for a solar twin, and allows us to consider an emerging, tightly constrained Li-age trend for solar twin stars. Keywords: stars: abundances — Sun: abundances — planetary systems 1. INTRODUCTION When compared to most stars with similar stellar pa- rameters, the Sun displays an anomalous chemical abun- dance pattern. To date, high-resolution spectroscopic chemical abundance analyses offer that only ∼15% of so- lar type stars have abundance patterns similar to the Sun (Mel´endez et al. 2009; Ram´ırez et al. 2009). The dis- parity between the Sun and other solar twins has been demonstrated in a number of studies (e.g., Mel´endez et al. 2009; Ram´ırez et al. 2010, 2011; Gonzalez et al. 2010a; Schuler et al. 2011), and is possibly due to the formation of terrestrial planets. Planetesimal and terres- trial planet formation may have imprinted a signature in the solar composition by locking-up refractory elements tmonroe@usp.br 1 Departamento de Astronomia do IAG/USP, Universidade de S˜ao Paulo, Rua do Mat˜ao 1226, Cidade Universit´aria, 05508-900 S˜ao Paulo, SP, Brasil 2 McDonald Observatory, The University of Texas at Austin, Austin, TX 78712, USA 3 Research School of Astronomy and Astrophysics, The Aus- tralian National University, Cotter Road, Weston, ACT 2611, Australia 4 Max Planck Institute for Astrophysics, Postfach 1317, 85741 Garching, Germany 5 Department of Astronomy and Astrophysics, University of Chicago, 5640 S. Ellis Ave, Chicago, IL 60637, USA 6 Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge, CB3 0HA, UK 7 Departamento de F´ısica Te´orica e Experimental, Universi- dade Federal do Rio Grande do Norte, 59072-970 Natal, RN, Brazil 8 Centro de Astrof´ısica da Universidade do Porto, Rua das Es- trelas, 4150-762 Porto, Portugal * Based on observations obtained at the European Southern Observatory (observing programs 083.D-0871 and 188.C-0265). in the surrounding disk, and leaving behind material low in refractory elements to later accrete onto the Sun. In this letter, we present elemental abundance ratios as a function of condensation temperature for the ∼8.2 Gyr old solar twin HIP 102152 (HD 197027). This 1 M star (0.97 M ; current study) that is about to leave the main sequence is of interest not only because it has an abundance pattern similar to the Sun, thus making it an excellent older solar analog for comparative studies, but also because its solar abundance pattern may suggest that this star is a candidate host for terrestrial planets. We also include abundances of the younger 2.9 Gyr so- lar twin 18 Sco and examine systematic differences be- tween refractory and volatile elements in this representa- tive solar twin and the older HIP 102152. Additionally, we report Li abundances for the two stars and examine the tight Li-age depletion trend of solar twins studied at high-resolution, bringing further insights to the debate of whether low lithium is a signature of planets, or just an effect of secular stellar depletion (e.g., Takeda et al. 2007; Takeda & Tajitsu 2009; Ram´ırez et al. 2012; Bau- mann et al. 2010; Ghezzi et al. 2010; Gonzalez et al. 2010b; Israelian et al. 2009). 2. SPECTROSCOPIC OBSERVATIONS AND REDUCTIONS Spectra of HIP 102152 and 18 Sco were obtained with the Ultra-violet and Visible Echelle Spectrograph (UVES; Dekker et al. 2000) on the 8.2-m Very Large Telescope (VLT) at the ESO Paranal Observatory. Ob- servations were carried out on 30 August 2009, with air masses of 1.1–1.5 for HIP 102152 and 1.6–1.7 for 18 Sco. Multiple exposures were obtained at three spectrograph configurations (six exposures per configuration) for each
  • 2. 2 Monroe et al. star to achieve redundancy in the observations around the Li doublet at λ6708˚A, with individual exposure times of 10–20 min for HIP102152 and 45–90 s for the brighter 18 Sco. Spectral coverage included 3060–3870˚A, 4800– 5770˚A, 5850–8200˚A, and 8430–10200˚A, with incomplete coverage in the near-infrared due to gaps between echelle orders. The spectral resolving powers were R(λ/δλ) = 65,000 at λ3060–3870˚A, and R = 110,000 for λ4800– 10200˚A. The asteroid Juno was also observed with the same spectrograph setups, and served as the solar refer- ence in our differential analysis. Standard reductions were carried out in IRAF, in- cluding bias subtraction, flat fielding, wavelength cal- ibrations, spectral order extractions, and spectra co- additions. Continuum normalization was performed on the combined one-dimensional spectra in IDL. Final com- posite spectra had signal-to-noise (S/N) ratios that var- ied across the spectral orders, but had a typical S/N∼500 pixel−1 . It should be noted that our spectrograph setups allowed us to achieve S/N∼1000 pixel−1 in the contin- uum regions about the Li feature at λ6708˚A. 3. ANALYSIS 3.1. Chemical Abundances Chemical abundances of most species were determined similarly to the methods outlined in Mel´endez et al. (2012). Equivalent width analyses were performed using the abfind driver in the local thermodynamic equilibrium (LTE) line analysis code MOOG (2002 version; Sneden 1973) and Kurucz (ATLAS9) model atmospheres, with- out convective overshooting (Castelli & Kurucz 2004). LTE abundances were determined for the following Z≤30 elements in our analysis: C, N, O, Na, Mg, Al, Si, S, K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, and Zn; and are included in Table 1. The line list was mostly taken from Mel´endez et al. (2012). Equivalent width (EW) measurements were first made with the automated code ARES (Sousa et al. 2007). Lines were measured by hand in both the star and Sun with the IRAF task splot when the EW < 10 m˚A, or if the species had five or fewer lines. Additionally, lines that were found to be outliers from the mean abundance of a species were also mea- sured by hand. Measurements were performed by fitting a single Gaussian profile to the line profile, or deblend- ing multiple Gaussian profiles when necessary. To aid in continuum placement, the observed solar spectrum was overplotted on each stellar line. The measurements for the star and Sun were then made in an identical manner, using the same regions of continuum. All elemental abundances were computed line-by-line differentially with respect to the Sun, using the same line list. A strictly differential approach was taken to decrease the additional line-to-line scatter that can arise from uncertainties in the adopted transition probabili- ties. Also, the differential approach minimizes system- atic errors in the determinations of stellar parameters, as well as systematic uncertainties in the abundances due to deficiencies in the model atmospheres. For the odd-Z elements of V, Mn, Co, and Cu, we took into ac- count effects of hyperfine splitting (HFS). Abundances of these elements were performed using our measured EWs and the blends driver in MOOG, which allowed us to consider the numerous individual components and wave- length splittings of the measured lines. The HFS line lists used were adopted from Mel´endez et al. (2012). Addi- tionally, abundances of the Li resonance doublet feature at λ=6708˚A were determined using spectrum synthesis, and will be discussed below. Differential NLTE correc- tions were shown to be very small in solar twins relative to the Sun (∼0.001 dex) by Mel´endez et al.; therefore, we did not take them into account in this study, except for Cr, Mn, and Co (e.g., Bergemann & Cescutti 2010). The sensitivity of our differential chemical abundances to the choice of model atmosphere grid has been shown to be negligible (Mel´endez et al.). 3.2. Atmospheric Parameters Abundances were first determined for the Sun using the standard solar atmospheric parameters of Teff =5777 K and log g=4.44. We determined our own value of the solar microturbulent velocity (vt) by using the com- mon spectroscopic technique of removing any trend be- tween the abundances of Fe I lines and reduced equivalent width. The resulting microturbulence was vt = 0.86 km s−1 , although this value was individually tweaked slightly for the analyses of both HIP 102152 and 18 Sco. An initial EW analysis was performed for the stars us- ing the above atmospheric parameters adopted for the Sun. Effective temperatures (Teff ) for the program stars were initially set at the solar value and then refined by employing excitation equilibrium on the differential abundances of the Fe I lines. That is, all trends between the differential abundances of each line with excitation potential (EP) were removed. Stellar microturbulences were refined by removing trends between the differen- tial abundances and reduced EW. Surface gravities (log g) were incrementally adjusted from solar to arrive at ionization balance between the average differential iron abundances derived from Fe I and Fe II lines. Final atmospheric parameters for the stars are pre- sented in Table 1. We determined the following values for HIP 102152: Teff = 5723±5 K, log g = 4.35±0.02 dex, and vt = 0.86±0.01 km s−1 (∆vt = 0.0 km s−1 for vt, = 0.86 km s−1 ). The differential stellar parameters between HIP 102152 and the Sun are therefore -54 K in Teff , -0.09 dex in log g, and 0.0 km s−1 in microturbu- lence, and thus confirm that this older dwarf is excellent for comparisons to the Sun. Our Teff is in good agree- ment with previous spectroscopic determinations by the lower resolution studies by Ram´ırez et al. (2009), who reported a temperature of 5746±50 K, and Baumann et al. (2010), who report a Teff of 5737±47 K. The pre- vious estimates of surface gravities are also in excellent agreement with our determinations: log g = 4.40±0.07 (Ram´ırez et al.) and 4.35±0.06 (Baumann et al.). Our atmospheric parameters for 18 Sco (Teff = 5824±5 K, log g = 4.45±0.02 dex, and vt = 0.89±0.01 km s−1 )10 are also in agreement with independent determinations in Mel´endez et al. (2012; 2013). We estimate that the uncertainties in Teff , log g, microturbulence, and metal- licity of the adopted model atmospheres are 5K, 0.02 dex, 0.01 km s−1 , and 0.01 dex, respectively. These er- rors include consideration of measurement uncertainties and the degeneracies in the stellar parameters. Abun- dance uncertainties for each element due to the errors 10 ∆vt = 0.02 km s−1 for vt, = 0.87 km s−1.
  • 3. Abundances of the Old Solar Twin HIP 102152 3 in the stellar parameters are included in Table 1. The last column in the table includes a total uncertainty for each element, obtained by adding in quadrature the un- certainties from the stellar parameters and observational standard error of the mean (SEM). The cumulative error from the stellar parameters is 0.004 dex for [Fe/H]. 4. SOLAR ABUNDANCE TREND OF HIP 102152 The metallicities of HIP 102152 and 18 Sco were deter- mined to be [Fe/H] = -0.013 ± 0.004 and 0.055 ± 0.004, respectively, as indicated in Table 1. The solar metallic- ity of HIP 102152 and slightly supersolar abundance of 18 Sco were also reported in Baumann et al. (2010), who similarly found [Fe/H] = -0.010 ± 0.022 for HIP 102152 and [Fe/H] = 0.051 ± 0.020 for 18 Sco. Elemental abundance ratios ([X/<C,O>]) of species with Z≤30 are plotted vs. equilibrium condensation temperature (TC) for HIP 102152 and 18 Sco in Fig- ure 1. The abundance ratios are relative to the average of the carbon and oxygen abundances (<C,O>), since those elements may be undepleted in the solar atmo- sphere (Mel´endez et al. 2009, 2012), and allow us to visually compare volatile (TC < 900 K) and refractory (TC > 900 K) species easily. The differential abundances of HIP 102152 display a pattern that is similar to solar, with a slope (solid line) consistent with zero (-3.7 × 10−6 ± 9.9 × 10−6 K−1 ) and an element-to-element scatter of 0.012 dex, after excluding three outliers (N, Na, and Co) that have abundances significantly lower than the rest. Given the large age of HIP 102152, the low abundances of these three elements may be due to a lower contribu- tion from Type Ia supernovae (Co; Figure 7 in Mel´endez et al. 2012) and asymptotic giant branch (AGB) stars (N and Na). We will re-examine these possible scenarios for our larger sample of solar twins of disparate ages. Abun- dance ratios of neutron capture elements with Z>30 also appear roughly solar for the r-process elements, but the s-process elements appear deficient, which is consistent with the low N and Na abundances resulting from the lower AGB contribution. These results will be presented elsewhere. In contrast, our abundances of 18 Sco in Figure 1 agree with previous studies (e.g., Mel´endez et al. 2012), which show the star has an abundance pattern similar to other solar twins. That is, the refractory elements are en- hanced relative to the volatile species, as illustrated by the dashed line. A similar correlation has been demon- strated on larger samples of solar twins in a number of high-resolution studies (e.g., Mel´endez et al. 2009; Ram´ırez et al. 2009; Schuler et al. 2011). The element- to-element scatter for 18 Sco is low, at 0.010 dex. As shown in Figure 1, the abundances of refractory elements between HIP 102152 and 18 Sco differ by as much as 0.07 dex. 5. LITHIUM ABUNDANCE VS. STELLAR AGE LTE lithium abundances were determined for HIP 102152, 18 Sco, and the Sun with spectrum syn- thesis using the synth driver in MOOG. We estimate the solar Li abundance to be log (Li) = 1.03 ± 0.02, in strong agreement with the reported value of log (Li) = 1.05 ± 0.10 by Asplund et al. (2009). As shown in Figure 2, the Li doublet is weak in the spectrum of HIP 102152, compared to the also depleted solar line. The high S/N ∼1000 pixel−1 in the region about the line allows us to place bounds on the Li abundance of HIP 102152 from log (Li) ∼0.37–0.51 dex, with a best estimate of log (Li) = 0.43 ± 0.07. In contrast, the line of the younger solar twin, 18 Sco, is much stronger. We estimate the abundance of this star to be log (Li) = 1.58 ± 0.02. NLTE Li abundance corrections were determined as in Lind et al. (2009), and estimated to be +0.04 dex for 18 Sco and the Sun, and +0.05 dex for HIP 102152. Ischronal ages and masses were estimated for HIP 102152 and 18 Sco using Yonsei-Yale isochrones (Kim et al. 2002) based on their stellar parameters and associated errors using probability distribution functions as described in Mel´endez et al. (2012). In Figure 3 we present NLTE Li abundances vs. isochronal stellar age for a small group of solar twins studied at high-resolution (R>60,000) and high S/N (>400), along with four theo- retical Li abundance models for a solar-mass, solar metal- licity star (Charbonnel & Talon 2005; do Nascimento et al. 2009; Xiong & Deng 2009; and Denissenkov 2010). From the published studies, we chose a model that best represented the Li abundance data. In the interest of better characterizing and constraining the timescale of Li depletion models, we are concentrating on studies with high quality data for two reasons. (1) For stars younger than the Sun, these constraints limit uncertainties in age, which have unfortunately impeded previous studies (e.g., Baumann et al. 2010), and (2) for stars older than the Sun, the high S/N ratios are crucial for obtaining accu- rate measurements using very weak Li lines (see Figure 2), which have restricted previous attempts (e.g., Takeda et al. 2007). In Figure 3 Li abundances of HIP 102152, 18 Sco, and the Sun are from the current study, while the abundances and ages of HIP 56948 and 16 Cyg B were taken from Mel´endez et al. (2012) and Ram´ırez et al. (2011), respectively. Age determinations for all the stars were determined using the same method. Re- cently, do Nascimento et al. (2013) reported an old 6.7 Gyr solar twin with a low Li abundance of log (Li) ≤ 0.85 dex, but this value is unfortunately limited by low S/N observations. As predicted and demonstrated previously, older stars show significantly more depletion than younger stars, with the abundance of HIP 102152 being the lowest Li abundance reported for a solar twin to date. This low abundance along with the abundance of the widely separated binary star 16 Cyg B may be useful in distinguishing between the depletion models, as well as helping to constrain the models for the upper end of the age range of solar-like main sequence stars, where the models start to diverge or are incomplete. Over- all the models represent the data well for the parameter space covered. Given this surprisingly tight preliminary correlation, we are currently analyzing a larger set (∼15) of solar twins of disparate ages observed with UVES to further fill in this diagram and hopefully confirm and strengthen the trend. 6. DISCUSSION & CONCLUSIONS The solar twin HIP 102152 is notably similar to the Sun in mass, effective temperature, surface gravity, mi- croturbulence, and metallicity. The solar abundance pattern of HIP 102152 that we report is the closest to the solar pattern published to date, using high preci-
  • 4. 4 Monroe et al. sion abundances. The abundance ratios of HIP 102152 show no enhancements of refractory elements compared to volatile species, unlike other solar twins such as 18 Sco. The abundances of the old star HIP 102152 are even closer to solar than the abundances of HIP 56948, a so- lar twin previously found to be the most similar to the Sun (Mel´endez et al. 2012). The Sun appears deficient in refractory elements rel- ative to volatile species, when compared to other solar twins (Mel´endez et al. 2009). Assuming the solar twins and the Sun formed under similar conditions, from gas of similar composition, then the solar refractory elements must be tied-up somewhere. A reasonable inference by many authors is that the observed pattern is due to the accretion of dust-depleted gas onto the pre-main se- quence Sun (e.g., Nordlund 2009; Chambers 2010). Per- haps one of the more tantalizing mechanisms that has been suggested to produce dust-depleted gas in a na- tal disk is the formation of planetesimals and terrestrial planets, since the abundance patterns of the inner solar- system planets and meteorites are conversely enhanced in refractory elements (Ciesla 2008; Alexander et al. 2001). If the solar abundance pattern is in fact a consequence of terrestrial planet formation, then other stars with abun- dance patterns similar to the Sun may be identified as potential rocky planet hosts. In fact, the solar abun- dance pattern of HIP 102152 makes it a prime potential candidate host for terrestrial planets11 . This star is in- cluded in our long-term radial velocity monitoring survey of solar twins being carried out with HARPS on the ESO 3.6-m telescope; however, current observations show no evidence of velocity variations that may be attributed to giant planets within 2 AU (see Figure 4). While most stellar parameters of HIP 102152 are vir- tually identical to the Sun, the age of the star is signifi- cantly larger, by ∼3.6 Gyr. The star’s old age and physi- cal similarities to the Sun make HIP 102152 an excellent older analog for the Sun. In particular, this star is ideal for exploring the potential evolution of the Sun’s lithium abundance, by probing the older end of the lithium-age trend both observationally and theoretically. Lithium is severely depleted in HIP 102152, as predicted. This star along with other solar twins firmly demonstrate that the Sun’s Li has depleted as predicted for a star with its age, mass, and metallicity. Previously, the apparently low so- lar Li abundance has been of concern for investigations that have compared the Sun to other solar analogs, with a broader range of stellar parameters (e.g., Lambert & Reddy 2004). However, when comparisons of the Sun’s Li abundance are made strictly to other solar twins, the Sun appears normal (Mel´endez et al. 2010). The small amount of scatter found about the Li-age relation for the sample of stars considered here is encouraging, and worthy of followup. This may be accomplished with the ongoing spectroscopic analysis of our larger sample of solar twins. The high-resolution and high S/N of our UVES spectra are allowing us to determine more precise stellar parameters for the sample, and thus more precise isochronal ages. It is expected that our remaining data set will address the longstanding problem of Li depletion 11 Alternatively, stars born in a dense cluster may be subject to radiation pressure that may deplete dust in the circumstellar environment (e.g., ¨Onehag et al. 2011). and provide tight constraints for non-standard models of temporal Li evolution. 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  • 5. Abundances of the Old Solar Twin HIP 102152 5 Figure 1. Differential abundance ratios of HIP 102152 (filled cir- cles) and 18 Sco (open squares) vs. dust condensation temperature. Plotted abundances are relative to <C,O>. Error bars include con- tributions from the observational uncertainties (SEM) and errors associated with the stellar atmospheric parameters. Weighted lin- ear fits are included for both stars (solid line: HIP 102152; dashed line: 18 Sco). Three outliers are labelled. Figure 2. The spectral region about the Li doublet at λ6708˚A of HIP 102152 and 18 Sco. The stellar spectra are plotted with circles. The solar spectrum is overlaid with a solid line in each panel, to visually demonstrate Li depletion with age. The inset panel shows the synthetic spectrum (solid line) used to determine the Li abundance of HIP 102152. Figure 3. NLTE Li abundance vs. isochronal age for the Sun and solar twins observed at high-resolution with high S/N. Li abun- dance determinations for HIP 102152, 18 Sco, and the Sun were determined for this study. Abundances of the other stars were taken from the literature, as noted in the text. Error bars for Li are smaller than the data points. Model predictions are also in- cluded and these models have been offset to intersect our derived solar Li abundance. Figure 4. Detection limits based on our HARPS data are shown for different eccentricities (e). Planets above the curves are ruled out.
  • 6. – 21 – Table 1. Stellar Abundances [X/H] and Errors Element [X/H] SEM N ∆Teff ∆log g ∆vt ∆[Fe/H] ∆Parameters Total Unc. (+5 K) (+0.02 dex) (+0.01 km s−1) (+0.01 dex) HIP 102152 (5723 ± 5 K, log g = 4.35 ± 0.02, ∆vt = 0.00 ± 0.01 km s−1, log (Li) = 0.48 ± 0.07) C -0.006 0.006 4 -0.005 0.005 0.000 -0.001 0.007 0.010 N -0.060 0.013 1 -0.005 -0.001 -0.003 -0.009 0.011 0.017 O 0.003 0.004 3 -0.007 0.002 -0.001 0.000 0.007 0.008 Na -0.057 0.006 3 0.002 0.000 0.000 0.001 0.003 0.007 Mg 0.013 0.012 3 0.002 -0.002 -0.001 0.001 0.003 0.012 Al 0.002 0.005 6 0.002 -0.002 0.000 0.001 0.003 0.005 Si -0.012 0.002 13 0.000 0.001 -0.001 0.001 0.002 0.003 S -0.017 0.012 6 -0.004 0.004 0.000 -0.001 0.006 0.013 K -0.001 0.003 1 0.004 -0.008 -0.002 0.003 0.009 0.010 Ca -0.003 0.002 10 0.003 -0.003 -0.002 0.002 0.005 0.006 Sc -0.016 0.004 9 0.000 0.007 -0.002 0.003 0.008 0.009 Ti -0.005 0.003 21 0.005 0.000 -0.001 0.001 0.005 0.006 V -0.035 0.001 9 0.005 0.001 -0.001 0.001 0.005 0.005 Cr -0.016a 0.002 16 0.004 -0.002 -0.002 0.002 0.005 0.005 Mn -0.026a 0.004 5 0.003 -0.003 -0.002 0.002 0.005 0.007 Fe -0.013 0.001 87 0.003 -0.001 -0.002 0.002 0.004 0.004 Co -0.076a 0.003 8 0.004 0.002 -0.001 0.002 0.005 0.006 Ni -0.039 0.002 17 0.003 0.000 -0.002 0.002 0.004 0.004 Cu -0.021 0.007 4 0.003 0.000 -0.002 0.002 0.004 0.008 Zn -0.007 0.013 2 -0.001 0.002 -0.002 0.002 0.003 0.013 18 Sco (5824 ± 5 K, log g = 4.45 ± 0.02, ∆vt = 0.02 ± 0.01 km s−1, log (Li) = 1.62 ± 0.02) C -0.012 0.009 4 · · · · · · · · · · · · · · · 0.012 N -0.003 0.013 1 · · · · · · · · · · · · · · · 0.017 O -0.008 0.006 3 · · · · · · · · · · · · · · · 0.009 Na 0.019 0.003 3 · · · · · · · · · · · · · · · 0.004 Mg 0.043 0.002 1 · · · · · · · · · · · · · · · 0.004 Al 0.031 0.009 6 · · · · · · · · · · · · · · · 0.009 Si 0.048 0.002 13 · · · · · · · · · · · · · · · 0.003 S 0.005 0.006 6 · · · · · · · · · · · · · · · 0.008 K 0.039 0.004 1 · · · · · · · · · · · · · · · 0.010
  • 7. – 22 – Table 1—Continued Element [X/H] SEM N ∆Teff ∆log g ∆vt ∆[Fe/H] ∆Parameters Total Unc. (+5 K) (+0.02 dex) (+0.01 km s−1) (+0.01 dex) Ca 0.058 0.003 9 · · · · · · · · · · · · · · · 0.006 Sc 0.036 0.002 9 · · · · · · · · · · · · · · · 0.008 Ti 0.055 0.002 21 · · · · · · · · · · · · · · · 0.005 V 0.041 0.002 9 · · · · · · · · · · · · · · · 0.006 Cr 0.059a 0.001 16 · · · · · · · · · · · · · · · 0.005 Mn 0.042a 0.004 5 · · · · · · · · · · · · · · · 0.006 Fe 0.055 0.001 85 · · · · · · · · · · · · · · · 0.004 Co 0.024a 0.003 8 · · · · · · · · · · · · · · · 0.006 Ni 0.041 0.001 17 · · · · · · · · · · · · · · · 0.004 Cu 0.039 0.007 3 · · · · · · · · · · · · · · · 0.008 Zn 0.009 0.012 2 · · · · · · · · · · · · · · · 0.012 Note. — Abundances of V, Mn, Co, and Cu account for HFS. aNLTE abundances are reported for these elements. LTE abundances for HIP 102152 are [Cr/H] = -0.019, [Mn/H] = -0.044, and [Co/H] = -0.049. LTE abundances for 18 Sco are [Cr/H] = 0.060, [Mn/H] = 0.045, and [Co/H] = 0.028.