Abstract
In main-sequence stars with an effective temperature above 10,000 K, surface convection zones are very thin or even vanish if the superficial helium abundance decreases due to gravitational settling. Atomic diffusion often occurs in the atmospheric layers of these stars; its effects, together with observational constrains, are examined in this chapter for the various groups of chemically peculiar stars. The time scales are determined to be of the order of years or even less in, and above, the line forming region of overabundant elements such as mercury, but much larger for other metals such as iron. It is possible to define a very simple equilibrium model for HgMn stars which reproduces the main trends of the observed abundance anomalies. However the detailed reproduction of individual stars is challenging, in particular because the abundance stratification build-up is a non-linear time dependent process. Mass loss plays an important role in limiting the size of anomalies: it determines an upper effective temperature limit of about 16,000 K for the HgMn phenomenon and of about 25,000 K for helium stars. Magnetic fields can stabilize the outer convection zones leading to Ap stars with effective temperatures as low as around 6,500 K. The role of magnetic fields in reducing the rotation rate, modifying the structure of the atmosphere and guiding atomic diffusion is emphasized. It is in particular described how it may lead to the formation of spots or rings of anomalies depending on the field’s geometry. Abundance structures are actually observed in these atmospheres but the detailed modeling of individual stars remains very challenging.
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- 1.
Commonly called Ap stars. In the classification of Preston (1974), Chemically Peculiar main-sequence stars are divided into four groups (CP1–CP4). The usual denomination Ap, or ApBp, covers CP2, CP3, and partially CP4.
- 2.
- 3.
- 4.
- 5.
Time scale is infinite when \(\overline{v_{D}} = 0\).
- 6.
Where 1H p corresponds roughly to the geometrical distance between logT = 5. 5 to logT = 5. 4.
- 7.
Assuming an optically thick medium and Lorentz profiles.
- 8.
Microturbulent velocity , often used to fit line profiles, may be inconsistent with the model that includes atomic diffusion and must be used cautiously since line profiles may also, for instance, be affected by abundance gradients in the line forming region.
- 9.
From the same stellar model as the left panel of Fig. 8.1.
- 10.
Number of particles crossing a unit area per second, due to diffusion alone.
- 11.
- 12.
See also the discussion for the optically thick case by Alecian and Grappin (1984).
- 13.
Preston (1974). In the literature, HgMn stars are sometimes included among ApBp stars, and sometimes considered separately from ApBp stars. In this book, we use Ap stars or ApBp stars as a generic name for all upper main-sequence chemically peculiar stars of Pop I.
- 14.
- 15.
See Fig. 1 of Takada-Hidai (1991).
- 16.
See review by Cowley et al. (2007).
- 17.
See § 3.4 of Abt et al. (2002).
- 18.
- 19.
See Michaud (1982), for a detailed discussion.
- 20.
- 21.
- 22.
Similar LTE computations have been done by LeBlanc et al. (2009) with a self-consistent model atmosphere.
- 23.
See Fig. 5 of Alecian and Stift (2007).
- 24.
Ca III is a noble gas configuration, and so contributes little to g rad.
- 25.
Note however that introducing layering in the model might have a similar effect.
- 26.
Between198 Hg and204 Hg.
- 27.
See Fig. 4a–c of Michaud et al. (1974).
- 28.
See the review by Smith (1996b).
- 29.
- 30.
There had been a few attempts to find alternative models; for instance Browne (1968) proposed that the spectral variations are not due to rotation but to pulsations in a circumstellar envelope with depth dependent magnetic field and an irregular distribution of elements, blown into the circumstellar envelope by radiation pressure.
- 31.
See for instance Kochukhov et al. (2004).
- 32.
See for instance discussion about angular momentum loss during the pre-MS phase by Stepien (1998).
- 33.
Using ESPaDoNS and Narval spectropolarimeters.
- 34.
Code invers10 (Piskunov and Kochukhov 2002).
- 35.
MuSiCoS spectropolarimeter .
- 36.
Neutral states feel, however, magnetic fields through the Zeeman effect on radiative accelerations (Chap. 5).
- 37.
Alecian and Stift 2015, submitted.
- 38.
ROSAT-PSPC.
- 39.
See Fig. 1 of Kochukhov and Ryabchikova (2001).
- 40.
Townsend and Owocki (2005) have also developed the RRM model (Rigidly Rotating Magnetosphere). Applying this RRM formalism to an oblique dipole model star where dense plasma is confined at the intersections between the magnetic and rotational equators.
- 41.
β-Cephei instability strip.
- 42.
- 43.
Because of desaturation effect in radiative acceleration, see § 3.3.2.
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Michaud, G., Alecian, G., Richer, J. (2015). Upper Main Sequence Stars of Pop I. In: Atomic Diffusion in Stars. Astronomy and Astrophysics Library. Springer, Cham. https://doi.org/10.1007/978-3-319-19854-5_8
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