A&A 420, 673-681 (2004)
DOI: 10.1051/0004-6361:20035651
M. Nishimura1 - K. Sadakane2 - K. Kato3 - Y. Takeda4 - G. Mathys5
1 - Rakutou High School,
Anshu, Yamashina-ku, Kyoto 607-8017, Japan
2 -
Astronomical Institute,
Osaka Kyoiku University,
Asahigaoka,
Kashiwara, Osaka 582-8582, Japan
3 -
Osaka Science Museum, Nakanoshima, Kita-ku, Osaka
530-0005, Japan
4 -
National Astronomical Observatory, Osawa, Mitaka,
Tokyo 181-8588, Japan
5 -
European Southern Observatory, Casilla 19001, Santiago 19,
Chile
Received 10 November 2003 / Accepted 23 February 2004
Abstract
A spectrum synthesis analysis for photospheric lines
in the magnetic B star HR 5049
is presented, based on a high quality spectrogram
obtained with the EMMI spectrograph attached to the NTT at ESO.
It is found that light elements such as He, C and O are under-abundant.
One of the most notable features is the deficiency
of He by more than -2.0 dex.
Co and Cl are over-abundant by +3.5 dex
and +1.9 dex, respectively.
Other iron peak elements are over-abundant
ranging from +0.47 dex (Ti II) to +1.94 dex (Cr I).
For rare earth elements,
the lines of once-ionized species are generally weak,
while the third spectra (especially those of Pr and Nd)
are very prominent.
Although rare earth elements show significant
over-abundances ranging from +3.0 dex to as large as +4.0 dex,
Ba has the solar abundance.
The Nd-Pr abundance difference, which shows an apparent decreasing trend
with increasing effective temperature among CP stars, is
found to be unusually small in HR 5049.
Key words: stars: abundances - stars: chemically peculiar - stars: individual: HR 5049
A southern sixth magnitude B-type star
HR 5049, a single-lined spectroscopic binary with
a period of 126.18 d (Dworetsky 1982),
is another well-known star
with a Co peculiarity.
It was first pointed out
by Dworetsky et al. (1980),
who identified strong Co I
and Co II lines
and estimated the abundance to be
in excess by +3.0 dex using
the curve of growth technique.
Resolved Zeeman split lines were observed
by Mathys et al. (1997),
from which they derived a mean magnetic field modulus of 4.7 kG.
Mathys & Hubrig (1997) found that
the mean longitudinal magnetic field
of HR 5049 is around -2 kG.
Recently, a magnetic field geometry of HR 5049
was modeled by Landstreet & Mathys (2000).
Hensberge (1993) determined its photometric
period to be 147.9
0.6 d.
He showed that the period reproduces the regular
variation of the magnetic field.
Dworetsky et al. (1980) suggested that
the rotational velocity of HR 5049 is less than
6 km s-1, while
Nielsen & Wahlgren (2000) obtained
km s-1from a profile analysis of
the Fe II
4508 Å line.
Nishimura (1998)
(hereafter Paper I) performed a detailed LTE
abundance analysis of HR 5049
using the spectra
between 5700 Å and
6700 Å.
He used five spectrograms obtained with CASPEC attached to the 3.6 m
reflector at the European Southern Observatory, La Silla.
These spectra had been taken for spectropolarimetric study by Mathys.
Nishimura (1998) found over-abundances of Cl (+3.3 dex, upper limit),
Co (+4.0 dex), Si (+1.3 dex), Cr (+2.8 dex), and Fe (+1.6 dex).
Line intensities of Pr III were shown to
vary with the rotation period (147.9 d).
The abundance pattern in HR 5049 is similar to that of
HR 1094.
Since the spectral coverage of the data used in Paper I was limited to the red spectral region, the analysis was performed for only a few elements. In this study, we have analyzed a higher resolution spectrum of HR 5049 covering both blue and red spectral regions. We adopted the spectrum synthesis technique to explicitly include the effect of magnetic intensification. Special attention has been paid to quantitative evaluations of abundance anomalies for both light and heavy (rare earth) elements.
We use a CCD spectrogram
ranging from 4070 Å to
6700 Å
which was obtained with the ESO
New Technology Telescope (NTT) and
the ESO Multi-Mode Instrument (EMMI)
in the cross-dispersed echelle
mode.
The achieved resolving power is on average 70 000,
with variations of a few percent through the observed range.
The time of mid-exposure for this observation was HJD 2 450 115.790.
The achieved S/N ratio is estimated to range from 100 to 150.
The detailed process of data reduction is described
in Mathys & Hubrig (2004).
The candidate lines in the wavelength region
between 4070 Å and
6700 Å were
taken from
the Kurucz CD-ROM (Kurucz & Bell 1995)
and VALD atomic line database (Kupka et al. 1999)
using a spectrum synthesis technique.
Telluric lines were carefully removed by
consulting the table of the solar
spectral lines (Moore et al. 1966).
To identify the lines of heavy elements usually not detected in normal stars, we calculated both equivalent widths and synthetic spectra assuming 104 times the solar abundance for the element in question. The lines of heavy elements strong enough to be analyzed were identified in this way. However, it should be noted that many strong lines still remain unidentified. This implies the incompleteness of presently-available atomic line data, especially those of the third spectra of heavy elements.
Table 1: Ionization equilibria between Fe I and Fe II, and between Co I and Co II. Each abundance was given for two model atmospheres.
The atmospheric parameters (
K, and
)
are taken from Hubrig et al. (2000).
The effective temperature is determined from the uvby-
photometric data
applying the calibration of Moon and Dworetsky (1985)
and Geneva photometric data.
The surface gravity is obtained from the basic relation between stellar masses,
radius and gravity using parallax data given in the HIPPARCOS catalog.
In Paper I, we used
K,
log g = 4.0, and [M/H] = +1.0 determined from
Geneva photometric data and from uvby-
photometric data
applying the calibration formula
with a ten times solar metal composition model.
The former data were calibrated by
North & Nicolet (1994),
and the latter data were calibrated by Lester et al. (1986).
After examining the ionization equilibria
between Fe I and Fe II, and between
Co I and Co II as shown in Table 1,
we decided to choose a cooler
(
K, and
)
model atmosphere
instead of the model used in paper I (
K, and
).
Recently, Adelman et al. (2000) obtained
K
and logg = 3.95 for HR 5049 from uvby-
photometry,
and Nielsen & Wahlgren (2000) obtained
K and
log g = 4.0 for HR 5049.
The atmospheric parameters adopted in this study are closer to
those of Nielsen & Wahlgren (2000).
![]() |
Figure 1:
The synthetic spectrum around the
He I line at ![]() ![]() |
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We find no He I line in the spectrum.
In Fig. 1, we compare the observed profile with
the computed ones of
the He I 5875.6 Å line.
This figure suggests that He is extremely
under-abundant: an upper limit of -2.0 dex
with respect to the solar value is obtained.
The considerable He deficiency may affect the atmospheric structure
and hence may introduce errors in the abundance determinations.
To examine this point,
we constructed a model atmosphere
with the program ATLAS9 (Kurucz 1993)
having the above low He content.
The elemental abundance computed with
the low He-content model atmosphere is found to
change only slightly (within 0.04 dex) compared with
the case of a model atmosphere of normal He content.
Castelli & Kurucz (1994) and Castelli et al. (1997)
analyzed Vega and the 3He star 3 Cen A (HD 120 709),
respectively, using opacity
sampling ATLAS12 (Kurucz 1996) model atmospheres.
In the case of 3 Cen A, Castelli et al. (1997)
constructed both ATLAS9 and ATLAS12 model atmospheres
with the same atmospheric parameters,
and compared the T-log (
relations
and the flux distributions.
They found a slight change in the T-log (
relation only
in the layers for log (
and nearly the same
computed energy distributions.
They found no significant difference between ATLAS9 and
ATLAS12 model atmospheres.
We guess that the effect of the low He content on the resulting
abundances will be small for HR 5049.
Since the resolved Zeeman split lines
due to the magnetic field of this star (4.7 kG) are
observed by
Mathys (1990),
we took the effect of
magnetic intensifications
into account for the spectrum synthesis.
The computation was made by the spectrum synthesis code SPSHOW
developed by Takeda (2000).
The magnetic field was incorporated
in a simple manner,
where the line opacity
includes Zeeman components while neglecting any
polarization effect
(i.e., Case (c) in Sect. 2.1 of
Takeda 1993).
The strengths of the Zeeman components were computed
by assuming the LS coupling, where the
necessary quantum numbers (L, S, J) for the upper and lower
levels were taken from the VALD database
(Kupka et al. 1999)
and NIST home page (2000).
In Fig. 2, we show an example of our synthesized
spectrum
for the pair of Fe II 6147 Å
and
6149 Å.
Observed profiles of these two Fe II lines
can be reproduced by incorporating the 4.7 kG magnetic field.
We adopted this magnetic field in the final abundance computations.
In the following magnetic spectrum synthesis,
we assume the zero km s-1 microturbulence.
An instrumental broadening corresponding to the resolving power of 70 000
was also applied.
![]() |
Figure 2:
The synthetic spectrum around the
Fe II ![]() ![]() ![]() ![]() |
Open with DEXTER |
We adopted
1 km s-1 as a projected rotational velocity,
which was determined from a profile analysis of
the Fe II
4508 Å line,
in agreement with that obtained by Nielsen & Wahlgren (2000).
Although the effective Landé factor of this line is
not zero (0.500),
it is clean and strong enough to be used in the determination of
.
Another clean Fe II line at
4314.31 Å line, which has
the effective Landé factor of 0.360, also
shows
= 4
1 km s-1.
The two Fe I lines at
5434.52 Å and
5576.09 Å
both have very small effective Landé factors (-0.01), are recommended in
Kochukhov
(2003) to be suitable for the determination of
.
Unfortunately, however, these two lines are extremely weak and heavily
blended in HR 5049.
When we take the photometric period of 147.9 d
obtained by Hensberge (1993)
and the radius of 3.54 0.39 (in units of solar radius)
obtained by Hubrig et al. (2000) into account,
this
km s-1 may be slightly large.
We suppose that some other broadening mechanisms
must contribute to the apparent
.
For lines of C II 4267 Å,
O I
6156-6158 Å,
and Mg II
4481 Å,
we used the
line profile-fitting technique
developed by Takeda (1995).
All of these lines contain multiple line components so that the
line profile-fitting technique is needed to reproduce
the observed profiles.
Table 2:
Analyses of individual atomic lines.
Columns from left to right are: the names of ion,
wavelength in Å, excitation potential ()
in eV,
log gf value, reference for log gf,
log
,
the remark
(HFS : the abundances determined by adopting the HFS data
taken from Kurucz 2001).
The full table is available in
electronic form at the CDS.
We tried to adopt the most up-to-date and reliable transition probability data (log gf) whenever possible. We preferred to use oscillator strengths from the home page of NIST Atomic Spectra Database at the National Institute of Standards and Technology (NIST 2000). When new experimental data have been published after the NIST compilations, the NIST data were replaced with the new ones. The log gf values of several elements were taken from a number of references. These are as follows; C II - Hirata & Horaguchi (1995), V II - Biémont et al. (1989), Fe II - Raasen & Uylings (2000), La II - Lawler et al. (2001a), Ce II, Pr III, Nd III, and Dy III - DREAM web database of Biémont et al. (2002), Eu II - Lawler et al. (2001b), and Eu III - Mashonkina et al. (2002). When no data could be found in the literature, we used Kurucz (2001)'s data. References of the log gf values for individual lines are given in Table 2.
We used the damping constants in the VALD atomic line database (Kupka et al. 1999) for all the lines.
In analyses of Mn II, Co I and Eu II lines, effects of the hyperfine structures (HFS) were taken into account. The HFS data were adopted from Kurucz (2001). Some strong lines of Co II and doubly ionized lines of rare earth elements are known to be affected by HFS. Although such strong lines are used in the abundance estimation, we neglect the HFS effect because no data on HFS and IS (isotopic shift) are available.
The differences in abundances with and without HFS effect are negligibly small for Co I lines and Eu II lines, which are found to be -0.02 dex and -0.04 dex, respectively. However, large differences are found for Mn II lines (+0.21 dex). It is expected that the Zeeman pattern changes for some transitions in the presence of magnetic fields, and the HFS induces a perturbation of the pattern. Because HR 5049 has shown a very strong magnetic field of 4.7 kG, HFS only induces moderate perturbation of the pattern.
We derived abundances of 28 ions for 21 elements and upper limits for three elements in HR 5049. Resultant abundances of individual lines are given in Table 2.
In Table 3, we summarize the averaged abundances.
The mean abundances for each ion were calculated
giving equal weight
to all the lines.
The columns in Table 3 from left to right are:
the name of ion, the number of used lines,
the derived abundance (log ),
the standard deviation,
the solar log
,
and the logarithmic abundance relative
to the Sun
(
log
).
The solar abundances were taken from
Grevesse et al. (1996).
Table 3:
Elemental abundances in HR 5049.
Consecutive columns are as follows:
the name of ion, the number of used lines,
the derived abundance,
the standard deviation,
the solar log ,
and the logarithmic abundance for HR 5049 relative
to the Sun.
One of the striking findings in the spectrum of HR 5049 is
the extreme weakness of neutral helium lines.
As mentioned in Sect. 3,
we found an extremely low abundance by -2.0 dex (Fig. 1).
Another strong He I line at
4471 Å is
heavily contaminated.
He I lines at
4120 Å, 4713 Å, and
4921 Å are absent.
The weak line at
6678.15 Å gives the abundance with
an upper limit of -1.0 dex.
However, we prefer to
adopt the result (-2.0 dex) obtained from the stronger line at
5875.6 Å.
In Hg-Mn stars and Si stars,
He lines are often quite weak.
For some Hg-Mn stars, the following He abundances were obtained;
-1.42 dex, -1.25 dex, and -1.7 dex for
112 Her A (=HD 174 933, Ryabchikova et al. 1996),
Cnc (=HD 78 316, Adelman 1987),
and 46 Aql (=HD 186 122, Sadakane et al. 2001), respectively.
Ryabchikova & Stateva (1996) showed
that the apparent He abundance varies from -0.59 dex
to -1.29 dex in the He-weak star 36 Lyn (HD 79158).
In their recent analysis of HR 1094,
Nielsen & Wahlgren (2000)
reported a He under-abundance of -0.89 dex.
Quiet recently, Kochukhov et al. (2002) found a
-3.0 dex He under-abundance in the CP2 star
2 CVn
(=HD 112 413,
K, and
).
The He deficiency in HR 5049
is comparable with that in
2 CVn.
From the comparison with these recent abundance studies
of chemically peculiar stars,
we conclude that HR 5049 is an extremely He deficient CP star.
Figure 3 compares the observed spectrum with the synthetic one
for the C II line at 4267 Å.
The best fit is achieved for
the case of -0.25 dex compared with
the solar value.
Since a Zr II line and a Ce II line exist
near the C II 4267.26 Å line,
the derived abundance for the C II lines should be taken
as an upper limit.
![]() |
Figure 3:
The synthetic line profile fitting of the
C II lines at ![]() |
Open with DEXTER |
The abundance of O determined
from the O I 6156-6158 Å triplet lines (Fig. 4)
shows a depletion by -0.56 dex.
The oxygen abundance of HR 5049
agrees with those of other magnetic Ap stars (Takeda et al. 1999).
Recent studies on NLTE line formation for O I lines
suggest that the NLTE correction is limited within 0.2 dex
(Takeda et al. 1999; Przybilla et al. 2000)
![]() |
Figure 4:
The synthetic line profile fittings
for the O I ![]() |
Open with DEXTER |
The abundance of Mg, derived from two Mg I lines and four Mg II lines including the 4481 Å line,
suggests that Mg is slightly under-abundant
in HR 5049.
In HR 1094, a definite under-abundance of Mg was obtained
by Nielsen & Wahlgren (2000).
A slight over-abundance of Si in HR 5049, +0.2 dex, is found from three Si II lines. This is in sharp contrast with the under-abundance of Si in HR 1094 (Nielsen & Wahlgren 2000).
Three Cl II lines
have been used
to obtain the chlorine abundance.
Figure 5 compares the observed spectrum with the synthetic one
around the Cl II line at 4794.56 Å.
Two lines at
4810 Å and
4819 Å
are heavily contaminated by unknown lines.
The Cl abundance of 7.4 is over-abundant
by +1.9 dex comparing with the solar value.
In a recent work on
2 CVn,
Kochukhov et al. (2002) shows that
the relative local abundance of Cl
reaches to an over-abundance by +4.7 dex
in its negative magnetic pole.
![]() |
Figure 5:
The synthetic spectrum of the
Cl II lines at ![]() |
Open with DEXTER |
All of the iron peak elements, from Ti through Ni, are found to be over-abundant by more than +0.5 dex.
Iron shows a high abundance of 8.30, which is significantly higher than the solar value (7.50) and similar to that found in HR 1094 (8.45 and 8.46, Sadakane 1992 and Nielsen & Wahlgren 2000, respectively).
Another remarkable result is
the large over-abundance of Co (+3.5 dex).
Figure 6 shows an analysis of one of strong Co II line
at 4915.42 Å.
For HR 1094,
Nielsen & Wahlgren (2000)
reported an over-abundance by +3.0 dex,
confirming the earlier result of Sadakane (1992).
In an abundance analysis of the roAp star HD 166 473,
Gelbmann et al. (2000)
showed an over-abundance by +1.09 dex.
Abundances of Ca, Ti, Fe, and Ni in HD 166 473 are
close to the solar values,
while Cr and Mn are over-abundant.
Recently, Cowley et al. (2000)
derived an over-abundance of Co by +1.6 dex
in Przybylski's star (HD 101 065).
These studies suggest that the over-abundance
of Co found in HR 5049 is one of the most extreme among CP stars.
![]() |
Figure 6:
The synthetic spectrum of the
Co II lines at ![]() |
Open with DEXTER |
Among heavy elements including rare earth elements,
Ba is an exception.
The Ba II line at 4554 Å is very
weak (Fig. 7).
The upper limit of Ba abundance
is nearly the solar value.
It is interesting to find a low abundance of Ba
in view of the
large over-abundances (more than 3 dex)
of neighboring rare earth elements
such as La and Ce.
![]() |
Figure 7:
The synthetic spectrum of the
Ba II line at ![]() |
Open with DEXTER |
All of the rare earth elements in HR 5049 are over-abundant by more than +2.8 dex compared with the solar values.
The abundance of La has been derived from only one La II line. La has one stable isotope and shows HFS. The HFS does not influence the final abundance because of the weakness of the line. No La III lines listed in Biémont et al. (2002) was detected.
Many clean Ce II lines
are seen in the spectrum.
We can determine
the magnetic intensifications due to the Zeeman effect
for four lines,
from which we derive an over-abundance of Ce by +3.10 dex.
According to Aoki et al. (2001),
the hyperfine splitting of Ce II is zero.
No line of Ce III listed in Bord et al. (1997)
could be found.
![]() |
Figure 8:
The synthetic spectrum of the
Pr III line at ![]() |
Open with DEXTER |
For Pr, one weak Pr II line and
12 strong Pr III
are used in the abundance determination to find an over-abundance of +3.97 dex.
Although Dolk et al. (2002)
stated some Pr III lines show asymmetric profiles,
no line shows such a profile in the spectrum of HR 5049.
Figure 8 shows an analysis of
one of the strong Pr III lines at
6160.23 Å .
The abundance of Nd (+3.24 dex over-abundant) was deduced from three Nd III lines. As noted in Dolk et al. (2002), Nd has seven stable isotopes, but the isotopic effects are known to be not serious.
Eu is found to be over-abundant by +3.6 dex,
from the analyses of two Eu II lines.
The hyperfine splitting is included
in our calculations.
The abundance derived from the Eu III lines
is fairly larger than that derived from
Eu II lines.
The Eu III 6666.35 Å line
gives an Eu abundance of 5.00,
though this line is contaminated by Cr II and Fe II lines.
Mashonkina et al. (2002) calculated NLTE effects
on both the Eu II
6645.11 Å line
and the Eu III
6666.35 Å line
for
2 CVn (
K, log g = 4.0).
They showed that NLTE corrections in this star are
+0.43 and -0.10 for the former and the latter lines, respectively.
When we apply their NLTE corrections to these two lines in HR 5049,
the difference of abundances deduced from these two lines
decreases from 1.13 dex to 0.60 dex.
Table 4:
Abundance changes
for each ion in HR 5049.
:
the abundance difference due to the change of the metallicity from [M/H] = 1.0 to 0.0.
+:
K + 300 K (increase
by 300 K),
-:
K - 300 K,
+: log g = 3.81 + 0.2,
and
:
log g = 3.81 - 0.2.
:
the abundance difference due to the change of
the metallicity from [M/H] = 1.0 to 0.0.
The abundances derived from the two models for each ion
show the discrepancy within 0.2 dex except for Cl;
+ and
:
the abundance difference due to the change of
the effective temperature by +300 K (
)
and -300 K (
).
We find the changes within 0.24 dex;
+ and
:
the abundance difference introduced by changing
the surface gravity by + 0.2 (
)
and - 0.2 (
).
We find a small difference within 0.11 dex.
Table 5: Comparison of elemental abundances in HR 5049 with three CP2 stars.
A spectrum synthesis analysis for 24 chemical elements has been carried out for the magnetic B star HR 5049 in this study.
In Fig. 9, we compare the elemental abundances obtained in HR 5049 with those in the Sun.
In Table 5, we compare the chemical abundances of HR 5049
with those found in recent works on some CP2 stars.
The first column in Table 5 is the name of ion,
the second is the elemental
abundances of HR 5049 (this work),
and the third is those of HR 1094
which are taken from Nielsen & Wahlgren (2000)
and Sadakane (1992).
The fourth column is the abundances
in HD 187 474 (HR 7552, Strasser et al. 2001),
for which their best fitting uniform abundances are given in Table 5.
The final column is the abundances of the roAp star HD 166 473
(Gelbmann et al. 2000).
![]() |
Figure 9: The abundances in logarithmic units for HR 5049 compared with the solar values. Upper limits for three elements are shown by downward arrows. |
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In HR 5049, most of the light elements (He, C, O, Mg) are under-abundant. Especially, the under-abundance of He by -2.0 dex is highly conspicuous. Si shows the solar abundance, while Cl is over-abundant by +1.9 dex. Most of the iron peak elements are over-abundant by more than 0.5 dex with respect to the solar values.
Although the abundance pattern of iron peak elements in HR 5049 is almost within the range of those in other CP2 stars, the over-abundance of Co is remarkable. The derived abundance of Co in this study is highest among the stars reported so far.
Abundances of observed rare earth elements exhibit the excess by more than +3.0 dex compared with the solar abundances. Among others, Pr and Eu show very large over-abundance by +4 dex.
We find uncomfortably large standard deviations in the derived
abundances of some ions such as Ti II, Cr II and Co II,
and also large discrepancies of Mg and Cr abundances obtained
from the neutral and singly ionized lines.
We think these discrepancies might be (partly) understood when we
introduce the vertical stratifications of the elements in question
in the atmospheric layer of HR 5049.
For example, the weak Cr II lines (equivalent width smaller than 50 mÅ)
or high excitation Cr II lines (5 eV or higher)
yield a high abundance of 8.0 dex, while strong lines yield a low abundances
of 7.0 dex.
The same tendency is found for Fe II lines;
a high abundance of 8.5 dex is obtained from weak lines
(equivalent width smaller than 100 mÅ),
while a low abundance of 7.7 dex is obtained from strong lines.
These discrepancies are too large to be explained in term of
errors in the model atmosphere or observational errors.
Recently, Ryabchikova et al. (2002) examined
the abundance stratification in the roAp star Equ (HD 201 601).
They showed that Ca, Cr, Fe, Ba, Si, and Na
seem to be over-abundant in deeper layers,
but normal or even under-abundant in the upper layers,
which are the same tendencies found for Cr and Fe in HR 5049.
Finally, we briefly discuss the relation between the Nd and Pr abundances
found among CP stars.
For cool Hg-Mn stars and Am stars,
Dolk et al. (2002)
have reported the presence of an apparent dependence
of the abundance difference
between Nd and Pr on the effective temperature.
![]() |
Figure 10: The relation between the Nd-Pr abundance differences and the effective temperature of various CP stars. Small open circles (Hg-Mn stars) and small open triangles (Am stars) are taken from Dolk et al. (2002). The small filled circle (HR 7775, Hg-Mn star) and the small filled triangle (Am star) are taken from Ryabchikova et al. (2001). The small open circle connecting with the small filled circle is for HR 7775, which are taken from Dolk et al. (2002). Small open squares (roAp stars) are taken from Ryabchikova et al. (2001), Cowley et al. (2000), Kochukhov (2003), Gelbmann et al. (2000), and Ryabchikova et al. (2000). Filled diamonds (non-pulsating CP2 stars) are taken from Ryabchikova et al. (2001). The plus sign (HD 187 474, CP2 star) and the open diamond (HR 6958 = HD 170 973, Si star) are taken from Strasser et al. (2001) and Kato (2003), respectively. The St. Andrew's cross is for HR 5049 (this study). All the log gf values of these authors are transformed into our scale. The horizontal broken line indicates the solar value. |
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In Fig. 10, we plot
the Nd-Pr abundance difference against the
for various CP stars
including HR 5049.
The difference is smaller than 0.8 dex
(the solar value of log (Nd/Pr)) for hotter
(
K, Hg-Mn group) stars.
On the other hand, we find larger differences
(1.0 dex or more) in cooler magnetic stars.
Although these abundances in CP stars were determined
by different authors at single phases in most cases, and they should
not represent averaged abundances over the stellar surfaces,
the upper envelope of the diagram of
Nd-Pr abundance difference
apparently decreases with the increasing
.
For HR 5049, the Nd-Pr abundance difference is 0.06 dex.
This is quite small when compared with other CP stars.
Another example with a similar Nd-Pr difference can be found in HD 187 474.
Strasser et al. (2001) obtained surface abundance
distributions for this very slowly rotating magnetic Ap star
(
K, log g = 4.0,
the magnetic field of 5 to 6 kG).
Its abundance pattern is similar to that found in HR 5049
(Table 5).
The Nd-Pr abundance difference in HD 187 474 is -0.11 dex.
Recently, Kato (2003) derived the Nd-Pr abundance difference
of the weak magnetic silicon star HR 6958
(=HD 170 973,
K,
log g = 3.5) to be +0.24 dex.
The Nd-Pr abundance differences of these stars,
especially those in HR 5049 and HD 187 474,
are quite small when compared to
the Nd-Pr abundance differences of Hg-Mn stars
obtained by Dolk et al. (2002).
The surface temperatures of HR 5049, HD 187 474 and
HR 6958 are just
at the boundary (
K)
where Dolk et al. (2002) found an abrupt change in the
the Pr and Nd abundances.
The peculiar abundance pattern of
Pr and Nd in these stars might
be physically connected with
the disappearance or diminishing of the H convection zone
at
K (Dolk et al. 2002).
It seems to be interesting to extend the study of the abundance differences to other pairs of elements such as Ce-Pr and Sm-Eu in various CP stars. Then it may become possible to make a detailed diagnosis concerning the complex physical interplay between the atomic structure and the atmospheric processes such as diffusion, convection, magnetic field, and mass loss in CP stars.
Acknowledgements
We deeply thank Drs. E. Biémont and P. Quinet for kindly providing us information on atomic data. We also thank Dr. A. Wahlgren for his helpful comments and suggestions which enabled us to improve the original manuscript.