Abundances in the Herbig Ae star HD 101412 Based on observations obtained at the European Southern Observatory, Paranal and La Silla, Chile (ESO programmes 077.C-0521(A), 081.C-0410(A) and 383.C-0684(A)

# Abundances in the Herbig Ae star HD 101412††thanks: Based on observations obtained at the European Southern Observatory, Paranal and La Silla, Chile (ESO programmes 077.C-0521(A), 081.C-0410(A) and 383.C-0684(A)

Abundance anomalies; Boo–Vega characteristics?
C. R. Cowley Department of Astronomy, University of Michigan, Ann Arbor, MI 48109-1090, USA
S. Hubrig AIP, An der Sternwarte 16, 14482 Potsdam, Germany
J. F. González Instituto de Ciencias Astronómicas, del la Terra y del Espacio, Casilla 467, 5400 San Juan, Argentina
I. Savanov Institute of Astronomy, Russian Academy of Sciences, Pyatnitskaya 48, Moscow 119017, Russia
Received month date, 2010/ Accepted month date year
###### Key Words.:
Stars: chemically peculiar – Stars: abundances – Stars: individual (HD101412)– Stars:pre-main-sequence
offprints: C. R. Cowley
###### Abstract

Context:Recent attention has been directed to abundance variations among very young stars.

Aims:To perform a detailed abundance study of the Herbig Ae star HD 101412, taking advantage of its unusually sharp spectral lines.

Methods:High-resolution spectra are measured for accurate wavelengths and equivalent widths. Balmer-line fits and ionization equlibria give a relation between , and . Abundance anomalies and uncertain reddening preclude the use of spectral type or photometry to fix . Excitation temperatures are used to break the degeneracy between and .

Results:Strong lines are subject to an anomalous saturation that cannot be removed by assuming a low microturbulence. By restricting the analysis to weak (mÅ) lines, we find consistent results for neutral and ionized species, based on a model with K, and . The photosphere is depleted in the most refractory elements, while volatiles are normal or, in the case of nitrogen, overabundant with respect to the sun. The anomalies are unlike those of Ap or Am stars.

Conclusions:We suggest the anomalous saturation of strong lines arises from heating of the upper atmospheric layers by infalling material from a disk. The overall abundance pattern may be related to those found for the Boo stars, though the depletions of the refractory elements are milder, more like those of Vega. However, the intermediate volatile zinc is depleted, precluding a straightforward interpretation of the abundance pattern in terms of gas-grain separation.

## 1 Introduction

The star HD 101412 (CD 59 3865, V1052 Cen) belongs to the group of Herbig Ae/Be stars, whose members are considered more massive counterparts of T Tauri pre-main sequence stars. Masses range from 2-10 (Hernández, et al. 2005). Their spectral energy distribution is characterized by the presence of an infrared excess due to thermal re-emission of circumstellar dust, which is thought to be the signature of a circumstellar disk (cf. Hartmann 2009, Sect. 8.8). According to Fedele et al. (2008) HD 101412 is a group II source (using the classification of Meeus et al. (2001), with the flat disk self-shadowed by dust. Wade, et al. (2005) discussed HD 101412 as a possible progenitor of magnetic chemically peculiar (CP2 or Ap) stars. A number of recent studies have been devoted to this star (cf. Hubrig, et al. 2009, 2010), including an estimate of its metallicity (Guimarães, et al 2006). The absorption lines are unusually sharp, leading to suggestions that the star may be seen nearly “pole on.” Intrinsically slow rotation cannot be excluded. Indeed, Fedele, et al. (2008) propose a model with a disk inclined by 20 to the line of sight, a model now supported by a newly-found photometric period.

Very recent work shows that HD 101412 is a low-amplitude photometric variable with the period of (Mikulášek et al., in preparation). If the period is a rotational one, it then comports well with our spectroscopic value, km s, and excludes a conclusion that the narrow lines could only be due to a (nearly) pole-on viewing angle.

Numerous emission features in Herbig Ae stars indicate an atmospheric structure that must differ from the classical, one-dimensional models typically used for abundance analyses. Nevertheless, abundance work on these objects has been attempted (cf. Guimarães, et al. 2006, Acke and Welkens 2004). The latter study is of particular interest to the results presented here, as the authors sought the signature of the Boo phenomena, citing the seminal paper by Venn and Lambert (1990). These authors noted that the most volatile elements, C, N, and O showed mild abundance depletions, while the more refractory elements showed significant depletions, 1 dex or more. They noted the similarity of these depletions to those of the interstellar gas which is well correlated with condensation temperatures (cf. Sect. 7).

The sharp spectral lines of HD 101412 make it ideal for abundance work. Although a magnetic field has been detected (cf. Wade, et al. 2005), magnetic enhancement of the lines is masked by other factors, to be discussed below (Sect. 5). Hubrig et al. (2010) noted that the Zeeman patterns of several lines were resolved, or partially resolved. Nevertheless, most atomic lines are sufficiently sharp that numerous relatively unblended lines could be found for abundance work.

## 2 Spectra

The current paper is based on a subset of the spectra described by Hubrig et al. (2010). Most equivalent widths were measured on two HARPS spectra (averaged) obtained in 2009 on 23:47 UT of 4 July, and 00:13 UT of 5 July. About 10 per cent of the equivalent widths are from UVES spectra obtained on 9 (visual and IR) and 15 April (UV) 2009.

Wavelengths were measured on the HARPS spectrum in the range 3782-6911. The averaged spectra were subjected to mild Fourier filtering. Signal-to-noise estimates, made directly from the filtered spectra average 148. HARPS spectra have a resolving power (RP) of 120000, but averaging and filtering reduce this to an estimated 40000. Fortunately, equivalent widths are independent of RP; we exchange RP for noise reduction.

We have used accurate wavelength measurements both for line identification, and to find relatively unblended lines.

The UVES spectrum obtained on 15 April 2009, was measured for wavelengths in the range 3301–4517. A few equivalent widths below the Balmer Limit were obtained from this spectrum.

Additional wavelengths were measured from UVES spectra taken on 9 April 1999 (6911–7519 and 7661–9461). The Ca ii infrared triplet was examined for possible isotopic shifts discovered by Castelli and Hubrig (2004). The lines were shifted by 0.02 to 0.03 Å  with respect to the solar wavelengths of these lines, a rather small shift that could be entirely due to measurement error.

Hubrig, et. al. (2010) demonstrate equivalent width changes of the order of 20% (0.08 dex). The variations were correlated with an assumed phase, 1386 days nearly one third the newly determined period of 420. Also possible, are line strength changes due to time-dependent motions of the circumstellar material. These variations must be kept in mind in evaluating the abundances which were determined here primarily from a single phase. An error of 0.08 dex is marginally significant, relative to other uncertainties in the abundances (cf. Table 2).

Balmer line profiles were measured on a FORS 1 spectrum obtained on 22 May 2008, in visitor mode at ESO. We used the (200kHz, low, 11) readout mode, which makes it possible to achieve a S/N ratio of about 1000–1200 with a single exposure and the GRISM 600B in the wavelength range 3250–6215 Å to cover all hydrogen Balmer lines from H to the Balmer jump. A slit width of 04 was used to obtain a spectral resolving power of . Details of data reduction are given by Hubrig et al. (2004).

## 3 Model atmospheres and spectral calculations

All model atmospheres are based on relations from the version of ATLAS9 (Kurucz 1993) of the Trieste group (cf. Sbordone, et al. 2004). Given , the depth integrations from of to were carried out with software and opacity routines written and used at Michigan for several decades. Agreement with ATLAS9 Models posted on Castelli’s (2010) site are excellent (see Castelli & Kurucz 2003). Spot checks using WIDTH9 for weak Fe i and ii lines, which are independent of the different damping constants of the two codes, show agreement within 0.02 dex. Weak lines have equivalent widths of 20 mÅ  or less.

## 4 Fixing the atmospheric parameters

### 4.1 Colors and spectral type

Broad and intermediate-band photometric measurements are typically used to fix the effective temperatures prior to an abundance analysis. Johnson (Vieira, et al. 2003) and Geneva (Mermillod, Hauck, and Mermillod 2007) indices are available for HD 101412; we found no Strömgren photometry. Unfortunately, the reddening correction is most uncertain. For example, Vieira, et al.’s , do not lead to an intersection with a standard vs. plot for either main sequence stars (Cox 1995, Table 15.7) or a ZAMS (Table 15.9). Since the star is known to be peculiar and variable, currently available photometry is not adequate to fix the effective temperature.

The spectral type of HD 101412 is given variously as B9-A0 V-III (e.g. B9/A0 V, Houk and Cowley 1975). According to Cox (1995), luminosity class V stars have effective temperatures in the range 10500 to 9790K, while we conclude K. The spectral type of normal stars of this class depend strongly on the Ca ii K-line, or rather its strength relative to Ca ii H +H. The intensity of the Ca ii lines would be significantly diminished by the dex underabundance we find for this element.

We conclude that the spectral type is not a useful indicator of the temperature of the star, or of the total absorption, .

### 4.2 The Balmer lines

Balmer line profiles are difficult to work with on high-dispersion material. This is especially true for echelle spectra, as the broad lines typically span echelle orders. We have attempted to fit profiles from an averaged HARPS spectrum, but have relied primarily on the FORS1 spectrum (Sect. 2) which included H and higher members of the Balmer series (Fig. 1).

Guimarães, et al. (2006) made use of Balmer lines but did not discuss degeneracy. They conclude K (see their Table 2). In Hubrig, et al. (2009), only the wings of H were used to find the atmospheric parameters, , . The authors note that a 9000K, model also gave a good fit to the H profile, but that with these parameters “many narrow lines” were seen in the synthetic spectrum that did not appear in the observed spectrum. These lines might not have appeared in the calculated spectrum if the abundances were low, as we currently assume.

The Hubrig et al. (2009) results show that within the relevant temperature range for HD 101412, the Balmer profiles are sensitive to both temperature and gravity. Our current calculations show that quite good fits to the Balmer profiles may be obtained for a temperature as low as 8300K, if a is assumed (see Fig. 1). A still lower temperature could be accommodated by assuming an even lower gravity.

Wavelength measurements of the cores of the Balmer lines on the FORS1 spectra show systematic red shifts that increase systematically from about +9 at H19 to +23 km s at H. Core shifts are marginally detectable in Fig. 1

### 4.3 Ionization equilibrium

We assume here that an optimum model will yield the same abundances from two stages of ionization of a given element. In a preliminary approach to obtain model parameters, we adopted a grid of temperatures and gravities shown in Table  1. The grid was chosen to bracket the expected stellar parameters. Provisional abundances were then calculated from equivalent width measurements of Fe i and ii lines using models with the parameters given in the table.

A relation between and is obtained as follows. For each of the three values of , we plot vs. and find a value of where the abundances from Fe i and Fe ii agree. This is illustrated in Fig. 2.

## 5 Anomalous saturation

The abundance from a set of equivalent widths of a given spectrum, e.g. Fe i, or Ti ii, should not, in principle, depend on the line strength. However, it has been known since the early days of curve of growth analysis, that drifts of abundance with line strength are common. They can result from a variety of causes ranging from errors in the oscillator strengths to equivalent width measurements. In a common situation, strong lines will give a higher abundance than weak ones, and the abundance worker can remove the trend by assuming an additional source of broadening known as microturbulence (). This broadening arises from gas motions due to convection, mixing, or other sources not included in the basic expression for the absorption profile, such as hyperfine structure or Zeeman effect.

Plots of abundance vs. equivalent width for HD 101412 slope downward even when no microturbulence is assumed. Fig. 3 shows the behavior for Ti ii lines. Not all plots show the flattening for weak lines. In particular, the Fe ii plot does not. However, most do.

An obvious mechanism that would weaken lines in young stars is veiling. This arises from excess continuum radiation arising from some aspect star-formation process (cf. Hartmann 2009). It is important to assess the possible effects of veiling, which would weaken the absorption lines and mimic lower abundances.

We believe the effect of veiling to be minor, for the following reasons:

• Carbon, oxygen, and sulfur give abundances close to solar. In the case of nitrogen, we find a significant excess. Veiling, if it were present, should have affected lines from these elements.

• Veiling is often wavelength dependent. There is no indication of a drift in our abundances with wavelength for the five spectra having lines on either side of the Balmer jump: Mg I, V II, Cr I, Co I, and Co II.

• Veiling is caused by an excess continuum due to infall from a disk. The veiling is less important for the Herbig Ae stars, relative to the T Tauri or weak T Tauri stars. There is no indication of X-rays from HD 101412, which would accompany significant infall of material.

We have found that anomalous saturation does not occur in a model with a hot upper atmosphere. If we arbitrarily raise the temperature from the standard ATLAS9 the effect vanishes (see Fig. 4). Temperature changes were made by trial and error until the anomalous saturation was no longer evident in a plot of abundance from Fe II lines vs. equivalent width. The altered model is surely not unique. Since the results are from an LTE calculations, we take it as indicative of the problem with the ATLAS9 model for HD 101412 specifically. A realistic pursuit of this problem is best left to a NLTE study.

## 6 Teff−log(g) degeneracy; curves of growth

We can see from Fig. 2, and from Table 1, that higher temperatures require higher gravities. This is true for both the iron equilibrium and the Balmer profiles. The temperature (9500-10000K) obtained by earlier workers would not yield acceptable Fe ionization, though the Balmer lines could be accommodated with a higher surface gravity.

This leaves the question of how to break the degeneracy between temperature and gravity. In one of the relatively small number of abundance analyses of pre-main sequence stars, Acke and Waelkens (2004) determined atomic excitation temperatures “for ions with many observed lines.” Specifically, they required that the effective temperature of the model be such that there is no drift in the abundance determined from individual lines with excitation potential.

We have attempted to use the Acke and Waelkens (2004) method. Our results marginally favor a 8300K– model over a 9800K– model, though not decisively. The wrong temperature should show a clear difference between abundances from low- and high-excitation lines. Unfortunately anomalous saturation precluded use of many stronger lines, which are typically of low excitation. As we shall see, this was not a problem with the second method, based on a curve of growth technique.

Since our depth-dependent models are not accurate for this Herbig Ae star, it is worthwhile to explore results of a more basic approach where the photosphere is approximated by a uniform slab, with a single, mean value of the temperature and pressure. This simple technique was once widely used in the chemical analysis of stellar spectra, employing what were called Schuster-Schwarzschild (henceforth, SS) models. (cf. Aller 1963). The basic method is still routinely employed when the conditions along the line of sight are not well determined (cf. Spitzer 1978, Rachford, et al. 2001, Hobbs 2005). This is the case for the upper layers of HD 101412.

Note: we use the SS models only to find an excitation temperature and break the degeneracy.

To determine an excitation temperature, we plot vs. . Here, , and is the lower excitation potential in eV. One adjusts the value of until the points belonging to lines with different excitation delineate, as well as possible, the same curve.

Constants are added to both the ordinates and abscissae of the observed points, in order to make the theoretical and stellar curves of growth overlap. The ordinate of the theoretical curve is , while that of the empirical plot is . The vertical shift necessary to superimpose the two curves contains information on the Doppler width, , and the maximum line depth , discussed in more detail below. The horizontal shift contains information on the column density, but that is not needed here. The analytical curves were originally due to van der Held (1931), and are are shown in the figure as solid lines for several values of the ratio of . Here is the damping constant (in cm), is the molecular (atomic) weight, and the gas constant. Note that a constant has been added to our abscissa so that and the ordinates of the theoretical curves are the same for weak lines. We made curves of growth for Ti ii, Fe i, and Fe ii, spectra with better-quality oscillator strengths, and Ca i We have tried to select oscillator strengths of optimum quality. Sources are:

• Ti ii. Oscillator strengths are from Pickering, Thorne & Perez (2001)

• Cr i. Oscillator strengths from Sobeck, Lawler, & Sneden (2007).

• Cr ii Oscillator strengths from Nilsson, et al. (2006) or VALD (Kupka, et al. 1999)/Kurucz (1994) taking only LS-permitted lines. Results were essentially the same.

• Fe i: Lines from the NIST site (Ralchenko, et al. 2010) with accuracy B+ (7 lines) and C+ (11 lines). Unfortunately, there are no lines with excitation potentials above 2.6 eV of accuracy B+ (see the NIST site for an explanation of “accuracy.”)

• Fe ii: We adopt the oscillator strengths of Meléndez and Barbuy (2009).

Fig. 5 shows a curve of growth for Fe ii. Too large a (too low a temperature) will move the filled stars (highest ) to the left with respect to the open circles (lowest ). Too small a , would move the highest- points to the right. Points for the lowest-excitation lines move relatively little.

In the case of Ca i, there is no good recent set of oscillator strengths, apart from the three lines given by Aldenius, Lundberg, and Blackwell-Whitehead (2009), 6162.2, 6122.2, and 6102.7). These three lines are all of moderate strength (9.6 to 25.3 mÅ), and give 6.41, 6.42, and 6.30 for . We adopt 6.38; the mean of values from 35 lines is  sd. A curve of growth is shown for Ca i in Fig. 6. Oscillator strengths for the remaining 32 lines are from the NIST site (Ralchenko, et al. 2010).

Additional curves of growth and examples showing results of a wrong temperature may be found at the url given in Sect. 7.

Curves of growth provide a measure of the excitation temperature, the microturbulence (), and the damping constant. The excitation temperatures found from the curves of growth, corresponding to to 0.7 ( to 7200K) are much cooler than any temperature discussed so far for HD 101412. However, the excitation temperature from the line spectrum is expected to be significantly lower than that from the continuum. We have made calculations based on model atmospheres to verify that the above excitation temperatures are to be expected for an atmosphere with K.

The vertical displacement () necessary to superimpose the theoretical and empirical curves gives a relation between the maximum line depth , an assumed relevant temperature, and the microturbulence.

Our problem with the SS-model curves of growth is essentially the same as that with the ATLAS9 model. The maximum line depth expected for either model is too large, relative to the value needed in HD 101412 to give a finite microturbulence. In the case of the numerical model, in LTE is simply . The value, at 4481 in the 8300K model is 0.90. For the SS model, if we adopt from the observed 4481 cores, and an excitation temperature of 7200K, we find .

The strong lines in Fig. 5 fall between theoretical curves for the parameter ) of 0.01 and 0.1. Note that (without a subscript) traditionally means , or the FWHM of a dispersion profile expressed as a function of .

Using K, and a mean cm, we obtain s for . This is 41 times the classical damping constant s (with in cm). For , the result is 4 times the classical. A value commonly cited for the empirical damping constant is 10 times the classical value (cf. Mihalas 1970). Cowley and Cowley (1964) obtained for the sun. We thus see the value from this crude curve of growth is entirely reasonable for a star on or near, the main sequence.

## 7 Abundances

All abundances were determined from depth-dependent model calculations of equivalent widths assuming zero microturbulence. Oscillator strength references not explicitly mentioned are from NIST (Ralchenko, 2010, preferred) or VALD (Kupka et al. 1999), except for Zr ii, where the values are from Ljung, et al. (2006).

Plots of abundance vs. were made for all species with more than three lines. Outliers could nearly always be understood and either corrected or dropped because of errors, such as misidentifications or blends. Whenever plots of abundance vs. equivalent widths exhibited a downward trend for stronger lines, abundances were determined from lines with equivalent widths mÅ.

Additional plots were routinely made of abundance vs. excitation potential, and equivalent width vs. excitation potential. Our restriction to weak lines only for abundances eliminated most systematic effects, though some small effects are inevitable. Additional plots, and detailed line-by-line results are available from the first author or at the url:
www.astro.umich.edu/cowley/hd101412/

Abundances are summarized in Table 2. Errors in Col 3 are standard deviations for the number of lines used, or the difference in abundances when only 2 lines were available. For V i, the error is the difference from a single V i line, and the mean for V ii.

No exotic elements, were identified. Barium is the heaviest element positively identified, and the abundances listed for the lanthanides cerium and europium are upper limits. There was no indication of gallium or the heavier noble gases.

Logarithmic abundance differences–star minus sun–are plotted in Fig. 7. The abundances may reflect a mild Boo, or Vega-like abundance mechanism, where the refractory elements are depleted while the most volatile elements are more nearly normal (Takeda 2008, see also Adelman, et al. 2010, in preparation). This is not unexpected. Gray and Corbally (1998) classified the Herbig Ae star HD 37411 as a Boo star, while Acke and Waelkens (2004) describe the Herbig Ae star HD 100546 as a “clear Bootis star,” based on their abundance analysis.

Neither Vega nor HD 101412 would qualify as a Boo star, as they do not meet the 1 dex iron-peak deficiency of Paunzen (2004) for the Boo stars. Our average deficiency for the elements with 50%K is about 0.5 dex, half the depletion for classical Boo stars. Nor is there an obvious trend within these refractory elements with 50%.

Our suggestion that the abundance pattern resembles that of the Boo stars rests on average abundances for the elements with volatility extremes. The centroids of the ellipses in Fig. 7 are significantly displaced from one another, indicating the most volatile elements are not depleted while the most refractory elements are.

### 7.1 Outliers

The abundance pattern of Fig. 7 cannot be explained in terms of condensation temperature alone.

#### 7.1.1 Nitrogen

The high nitrogen abundance may be partially due to NLTE. Kamp, et al. (2001) find nitrogen quite variable among Boo stars, and subject to NLTE. For example, the LTE abundance excess of N for HD 75654 was +0.65 dex. The NLTE calculation reduced this value to +0.30 dex.

#### 7.1.2 Sodium

Sodium (50%K), might be considered an intermediate volatile. We find its depletion in HD 101412 to be only 0.14 dex. However, Paunzen, et al. (2002) reported sodium variations from 1.3 to +1.2 dex with respect to the sun. Kamp et al. (2008) discuss this further, and note mechanisms beyond equilibrium condensation that might account for the scatter.

#### 7.1.3 Zinc

Paunzen(2004) listed zinc among the elements expected to be deficient in the Boo stars. To the extent that we suggest the abundances in HD 101412 resemble those of the Boo stars, our finding of an depletion of 1.06 dex ceases to indicate an outlier, and supports the assertion. At the same time, it complicates an interpretation based on volatility. Surely factors other than equilibrium condensation affect the stellar abundances of zinc as well as sodium.

## 8 Conclusions

The atmospheric structure of HD 101412 deviates from a classical model (e.g. ATLAS9). But the deeper photosphere, as probed by weaker lines, has a line spectrum well produced by the theoretical model with 8300K, . Elements with lines from the first and second spectra yield abundances in good or satisfactory agreement. In the worst case, silicon, Si i and Si ii disagree by 0.38 dex, only a factor of 2.4.

The atomic lines are also in general agreement with a mean excitation temperature in the range 7200 to 7750K. An excitation temperature in this range is expected from a model with the adopted parameters.

Strong lines show an anomalous saturation, which we have attributed to maximum line depths, , less than that predicted by the ATLAS9 model. Similar information comes from curves of growth, where even the observed depths of the Mg ii 4481 doublet (0.53) would lead to a imaginary value for the microturbulence.

Atomic emission features show departures of the upper atmosphere from classical. In addition to emissions seen in the low Balmer members, broad, generally weak emissions appear, for example, in [O i] 6300, Na i D and D, and the O i, triplet 7772, 7774, and 7775. The widths of these features are readily measured. The wavelength spread from the violet wing to the red wing, of atomic emissions correspond to velocities of 100 to 200 km s. We suggest the upper atmosphere is heated by infalling material from a primordial disk, and that this heating is probably responsible for the anomalous saturation.

Most abundances are less than 1 dex from solar values. With the notable exception of zinc, there is a suggestion that refractory elements are depleted. The volatiles are normal, or in the case of nitrogen, enhanced.

###### Acknowledgements.
We are especially grateful to Z. Mikulášek for communicating the results of his photometric period in advance of publication and for an exchange of ideas concerning its interpretation. It is a pleasure to thank J. R. Fuhr J. Reader, and W. Wiese of NIST for advice on atomic data and processes. This research has made use of the SIMBAD database, operated at CDS, Strasbourg, France. Our calculations have made extensive use of the VALD atomic data base (Kupka, et al. 1999). CRC is grateful for advice and helpful conversations with many of his Michigan colleagues, and to Jesús Hernández for useful comments and suggestions. S. J. Adelman and A. F. Gulliver graciously shared some results of their forthcoming Vega abundance study.

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