Ay219 Week 5: Measurements Elemental Abundances from Stellar Spectra Using Line Strengths ● Line strength vs. abundance ● Equivalent width ● – Continuum normalization – Line profiles Turning equivalent widths into abundances 1 Curve of growth 2 Curve of growth 3 Ingredients for abundance measurements ● Equivalent widths or raw spectrum ● Line list ● Model atmosphere ● Abundance code 4 Assumptions ● One-dimensional atmospheres – ● ● Does not capture convection Local thermodynamic equilibrium (LTE) – i.e., an isotropic radiation field at all points in the atmosphere – Good assumption for some lines, bad for other Hydrostatic equilibrium – i.e., pressure balances gravity – Good assumption for most stars, but not variable stars 5 Equivalent width 6 Spectral continuum normalization 7 Spectral continuum normalization 1) Linear fit across one line 2) Polynomial fit: 3) Spline fit: (just a combination of polynomials) 4) Fitting a model: 5) Sigma clipping 8 Equivalent width 9 Line profiles Gaussian: Lorentzian: Voigt: 10 Voigt profile Observed spectrum of the Sun, Mg b 5172 11 Measuring equivalent width 12 Measuring equivalent width 13 Measuring equivalent width 14 Measuring equivalent width 15 Measuring equivalent width 16 Spectrophotometric index 17 Example line list 18 Atomic and molecular data ● NIST – ● VALD – ● http://www.physics.nist.gov/PhysRefData/ASD/lines _form.html http://vald.astro.uu.se/ Kurucz – http://www.pmp.uni-hannover.de/cgi-bin/ssi/test/kuru cz/sekur.html 19 Model atmosphere 20 Example model atmosphere 21 Where to find model atmospheres ● ATLAS – – ● http://www.stsci.edu/hst/observatory/crds/castelli_ku rucz_atlas.html Castelli & Kurucz 2004, arXiv:astro-ph/0405087 MARCS – http://marcs.astro.uu.se/ – Gustafsson et al. 2008, A&A, 486, 951 22 Codes that measure abundances ● ● MOOG – http://www.as.utexas.edu/~chris/moog.html – Sneden 1973, Ph.D. thesis, UT Austin Turbospectrum – http://www.pages-perso-bertrand-plez.univ-montp2.f r/Turbospectrum-v14.1.tar.gz Alvarez & Plez 1998, A&A, 330, 1109 – Plez 2012, ascl:1205.004 – ● Spectroscopy Made Easy (SME) – http://www.stsci.edu/~valenti/sme.html – Valenti & Piskunov 1996, A&AS, 118, 595 23 Measuring effective temperature (Teff) Raise temperature → decrease slope Lower temperature → increase slope 24 Measuring surface gravity (log g) Abundance from Fe I lines = Abudance from Fe II lines 25 Measuring microturbulent velocity (vt or ξ) Raise ξ → decrease slope Lower ξ → increase slope 26
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