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© School of Physics, TCD, 2015
Chemical Abundance Analysis of an Exotic Star.
Author: Aidan Kelly Supervisor: Prof.Simon Jeffery
Introduction
Subdwarf B stars, or sdB stars are extremely hot (20,000K≤ Teff≤40,000K) evolved, faint blue stars. They are low mass objects (~0.5 Mʘ) with a thin and inert hydrogen
envelope (˂ 0.02 Mʘ ) and a radius of 0.15-0.25 Rʘ. In this study we undergo an in depth spectroscopic analysis of the “super-metal-rich” star PG0909+276 using a
computer generated model atmosphere where some basic physical assumptions are made. Spectroscopic analysis has already been performed in the optical region
(3500Ǻ≤λ≤7000Ǻ) by Edelmann 2003 and they found strong enhancements in iron-group elements (e.g Nickel) relative to what is considered the norm for sdB stars
(hence “super-metal-rich”). The vast majority of iron-group absorption lines are found in the ultraviolet region (1000Ǻ≤λ≤3500Ǻ) and hence this is the region of the
spectrum we will be studying to see if there are such large abundance anomalies.
Theory & Experimental Method
In order to compute this model spectrum we need to solve the radiative transfer
equation (1) for each layer of the stellar atmosphere. This could be done if we made
the following assumptions: Plane-parallel geometry (i.e atmosphere is stratified into
many homogenous plane parallel layers), hydrostatic equilibrium (i.e Fgrav=Fpressure),
radiative equilibrium (radiation is the main energy transport mechanism), local
thermodynamic equilibrium (collisional processes are dominant over radiative
processes).
μ
𝑑𝐼
𝑑𝜏
= 𝐼 − 𝑗
𝜅
= 𝐼 − 𝑆 (1)
Where μ=cosθ, I is specific intensity, τ=optical depth, j = emission coefficient, κ =
extinction coefficient and S is the source function.
With this model atmosphere we were able to use a spectral fitting procedure called
SFIT where it took as our input the best guess Teff, surface gravity log(g) and chemical
abundances. We initially took Edelmanns 2003 values as our best guess abundance
values and used a modified χ2 test to determine the best Teff and log(g). We did this
by comparing our grid of model atmospheres to low resolution IUE (international
ultraviolet explorer) data. With this rough approximation of the best fit abundances, we
then used a spectral fitting programme (SFIT) to determine accurate values of the
abundances using a combination of χ2 minimisation and chi-by-eye. These SFIT
model spectra were compared to high resolution data from the HST (see Figure 1).
Results & Discussion
In our pursuit to find the best fit model, we had to split the wavelength region
into 200-400Ǻ regions because the optical depth, τ, varied greatly over the
1100Ǻ≤λ≤3500Ǻ region.
In SFIT the abundance values are given as normalised abundances such that
𝒍𝒐𝒈 𝟎
𝒊
εi = 𝐥𝐨𝐠 𝟎
𝒊
𝝁ini = 𝟏𝟐. 𝟏𝟓 (2)
Where μi is the atomic mass of atom i and ni is the relative number of atoms of
each element i.
In the end we only had time to find the abundances for the 1400-2000Ǻ region
where we found the “iron-group” elements to be enriched with respect to solar
values and a “normal” sdB star (Grevesse & Sauval 1998 and O’Toole &
Heber 2006 respectively). Figure 2 shows that the “light” elements (up to
oxygen) are roughly solar, whereas the “heavy” elements (calcium to nickel),
with the exception of iron, are enhanced with a range of 0.4 to 5.5 dex (Mn
and V respectively). SdB stars are known to be richly enhanced in metals
compared to the Sun, our results confirm this, but is PG0909+276 richly
enhanced compared to a “normal” sdB star? We found this to be so, with the
metals excluding iron found to be enhanced with a range of 0.9 to 3.45 dex
wrt Feige 48.
In sdB stars the radiative acceleration dominates and brings the heavy
elements (because of their larger cross section) to the surface of the sdB star.
The fact that iron appears to be solar may be actually due to luck as there is
no reason to believe that it is the origin metallicity of the star. The iron-group
elements appear much more enhanced then in a “normal” sdB star due to the
increased radiative acceleration which comes with an increase in temperature
(Michaud et al 2011).
Conclusion
Our results broadly agreed within error (10 out of the 14 element abundances agreed) of those found by Edelmann (2003) in the optical region. PG0909+276 was found to be
metal rich with respect to both the Sun and the “normal” sdB star, Feige 48, except for iron. This trend has also been found in spectroscopic studies of subdwarfs by O’Toole &
Heber (2006) and Geier (2013). The fact that iron is found to be solar in most sdBs may just be due to luck as there is no reason to believe that is from the original metallicity
of the star. We believe that the “heavy” elements with their large cross section appear to be enhanced at the surface due to the high temperatures which causes increased
radiative acceleration (Michaud et al 2011) . To conclude a sole study of the “peculiar” star PG0909+276 in the wavelength region 1400-2000Ǻ is not sufficient to come to any
concrete hypothesis. Further studies in the UV region of these “peculiar” stars is needed.
References
 H. Edelmann.Spectroscopic analyses of subluminous B stars: observational constraints for the theory of stellar. evolution, pulsation and diffusion PhD thesis, Friedrich-Alexander-Universit•at Erlangen-N•urnberg, 2003
 S. Geier. Hot subdwarf stars in close-up view. III. Metal abundances of subdwarf B stars. aa549:A110, January 2013. doi: 10.1051/0004-6361/201220549.
 N. Grevesse and A. J. Sauval. Standard Solar Composition. , 85:161{174, May 1998. doi: 10.1023/A:1005161325181.
 G. Michaud, P. Bergeron, F. Wesemael, and G. Fontaine. Studies of hot B subdwarfs. IV - Radiative forces, mass loss, and metal abundances in sdB stars. , 299:741{744, December 1985. doi: 10.1086/163739.
 S. J. O'Toole and U. Heber. Abundance studies of sdB stars using UV echelle HST/STIS spectroscopy. , 452:579{590, June 2006. doi: 10.1051/0004-6361:20053948

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Aidan_Kelly12314376

  • 1. © School of Physics, TCD, 2015 Chemical Abundance Analysis of an Exotic Star. Author: Aidan Kelly Supervisor: Prof.Simon Jeffery Introduction Subdwarf B stars, or sdB stars are extremely hot (20,000K≤ Teff≤40,000K) evolved, faint blue stars. They are low mass objects (~0.5 Mʘ) with a thin and inert hydrogen envelope (˂ 0.02 Mʘ ) and a radius of 0.15-0.25 Rʘ. In this study we undergo an in depth spectroscopic analysis of the “super-metal-rich” star PG0909+276 using a computer generated model atmosphere where some basic physical assumptions are made. Spectroscopic analysis has already been performed in the optical region (3500Ǻ≤λ≤7000Ǻ) by Edelmann 2003 and they found strong enhancements in iron-group elements (e.g Nickel) relative to what is considered the norm for sdB stars (hence “super-metal-rich”). The vast majority of iron-group absorption lines are found in the ultraviolet region (1000Ǻ≤λ≤3500Ǻ) and hence this is the region of the spectrum we will be studying to see if there are such large abundance anomalies. Theory & Experimental Method In order to compute this model spectrum we need to solve the radiative transfer equation (1) for each layer of the stellar atmosphere. This could be done if we made the following assumptions: Plane-parallel geometry (i.e atmosphere is stratified into many homogenous plane parallel layers), hydrostatic equilibrium (i.e Fgrav=Fpressure), radiative equilibrium (radiation is the main energy transport mechanism), local thermodynamic equilibrium (collisional processes are dominant over radiative processes). μ 𝑑𝐼 𝑑𝜏 = 𝐼 − 𝑗 𝜅 = 𝐼 − 𝑆 (1) Where μ=cosθ, I is specific intensity, τ=optical depth, j = emission coefficient, κ = extinction coefficient and S is the source function. With this model atmosphere we were able to use a spectral fitting procedure called SFIT where it took as our input the best guess Teff, surface gravity log(g) and chemical abundances. We initially took Edelmanns 2003 values as our best guess abundance values and used a modified χ2 test to determine the best Teff and log(g). We did this by comparing our grid of model atmospheres to low resolution IUE (international ultraviolet explorer) data. With this rough approximation of the best fit abundances, we then used a spectral fitting programme (SFIT) to determine accurate values of the abundances using a combination of χ2 minimisation and chi-by-eye. These SFIT model spectra were compared to high resolution data from the HST (see Figure 1). Results & Discussion In our pursuit to find the best fit model, we had to split the wavelength region into 200-400Ǻ regions because the optical depth, τ, varied greatly over the 1100Ǻ≤λ≤3500Ǻ region. In SFIT the abundance values are given as normalised abundances such that 𝒍𝒐𝒈 𝟎 𝒊 εi = 𝐥𝐨𝐠 𝟎 𝒊 𝝁ini = 𝟏𝟐. 𝟏𝟓 (2) Where μi is the atomic mass of atom i and ni is the relative number of atoms of each element i. In the end we only had time to find the abundances for the 1400-2000Ǻ region where we found the “iron-group” elements to be enriched with respect to solar values and a “normal” sdB star (Grevesse & Sauval 1998 and O’Toole & Heber 2006 respectively). Figure 2 shows that the “light” elements (up to oxygen) are roughly solar, whereas the “heavy” elements (calcium to nickel), with the exception of iron, are enhanced with a range of 0.4 to 5.5 dex (Mn and V respectively). SdB stars are known to be richly enhanced in metals compared to the Sun, our results confirm this, but is PG0909+276 richly enhanced compared to a “normal” sdB star? We found this to be so, with the metals excluding iron found to be enhanced with a range of 0.9 to 3.45 dex wrt Feige 48. In sdB stars the radiative acceleration dominates and brings the heavy elements (because of their larger cross section) to the surface of the sdB star. The fact that iron appears to be solar may be actually due to luck as there is no reason to believe that it is the origin metallicity of the star. The iron-group elements appear much more enhanced then in a “normal” sdB star due to the increased radiative acceleration which comes with an increase in temperature (Michaud et al 2011). Conclusion Our results broadly agreed within error (10 out of the 14 element abundances agreed) of those found by Edelmann (2003) in the optical region. PG0909+276 was found to be metal rich with respect to both the Sun and the “normal” sdB star, Feige 48, except for iron. This trend has also been found in spectroscopic studies of subdwarfs by O’Toole & Heber (2006) and Geier (2013). The fact that iron is found to be solar in most sdBs may just be due to luck as there is no reason to believe that is from the original metallicity of the star. We believe that the “heavy” elements with their large cross section appear to be enhanced at the surface due to the high temperatures which causes increased radiative acceleration (Michaud et al 2011) . To conclude a sole study of the “peculiar” star PG0909+276 in the wavelength region 1400-2000Ǻ is not sufficient to come to any concrete hypothesis. Further studies in the UV region of these “peculiar” stars is needed. References  H. Edelmann.Spectroscopic analyses of subluminous B stars: observational constraints for the theory of stellar. evolution, pulsation and diffusion PhD thesis, Friedrich-Alexander-Universit•at Erlangen-N•urnberg, 2003  S. Geier. Hot subdwarf stars in close-up view. III. Metal abundances of subdwarf B stars. aa549:A110, January 2013. doi: 10.1051/0004-6361/201220549.  N. Grevesse and A. J. Sauval. Standard Solar Composition. , 85:161{174, May 1998. doi: 10.1023/A:1005161325181.  G. Michaud, P. Bergeron, F. Wesemael, and G. Fontaine. Studies of hot B subdwarfs. IV - Radiative forces, mass loss, and metal abundances in sdB stars. , 299:741{744, December 1985. doi: 10.1086/163739.  S. J. O'Toole and U. Heber. Abundance studies of sdB stars using UV echelle HST/STIS spectroscopy. , 452:579{590, June 2006. doi: 10.1051/0004-6361:20053948