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README file for "Set Ia/b" data tables |
This dataset gives a full summary of the main photometric quantities for the
Simple Stellar Population (SSP) models, including Johnson, Washington and Gunn colors,
M/L ratios and other relevant stellar quantities from the SSP isochrone.
Credit to these models should be acknowledged referring to: Buzzoni, A.: ``Evolutionary Population Synthesis Models in Stellar Systems.I. A Global Approach'', 1989, Astrophys. Journal Suppl. Series, 71, 817. Each table begins with a header reporting the general quantities as in the following example: |
(1) | (2) | (3) | (4) | (5) | (6) | (7) |
Z | [Fe/H] | Y | s | m.loss | Minf | HB |
0.0001 | -2.27 | 0.23 | 2.35 | 0.3 | 0.1 | R |
(1): | Metallicity. We explore the range for Z = 0.0001, 0.001, 0.01, 0.017 (solar value), 0.03, and 0.1. |
(2): | Iron-to-Hydrogen abundance relative to the Sun (by definition [Fe/H](sun) = 0) |
(3): | Helium abundance. The value of Y is 0.23 for Z = 0.0001 and 0.001 models, Y = 0.25 for Z = 0.01, 0.017, 0.03, and Y = 0.35 for Z=0.1. The relevant equivalence X+Y+Z = 1 holds, from which the Hydrogen abundance can be derived. |
(4): | IMF power-law index. We assume dN = A M**(-s) dM. For a Salpeter IMF s=2.35. In addition, the case of s = 1.35 (giant-dominated SSPs) and 3.35 (dwarf-dominated SSPs) is considered. |
(5): | Mass loss coefficient η in the Reimers (1975) formula (see Buzzoni 1989). This parameter mainly affects the AGB luminosity extension. A larger value of η means a more enhanced mass loss (that is a fainter AGB tip). The empirical tuning for low-Z SSPs indicates a typical value about 1/3 (see Iben and Renzini, 1983 ARAA, 21, 271). In our model grid we assume η = 0.3 and 0.5. |
(6): | Lower mass limit for the IMF, in solar unit. Always fixed in the models at 0.1 M_sun. |
(7): | Horizontal Branch morphology for the 15 Gyr model. As the HB stars quickly turn to redder colors with increasing mass, a Red HB is always expected at younger ages (t < 10 Gyr) disregarding the morphology details at 15 Gyr. |
R = Red HB (a red clump close to the RGB) | |
I = Intermediate HB (a skewed bell-shaped distribution peaked at Log T = 3.82 with a 3-sigma hot tail up to Log T = 4.05) | |
B = Blue HB (a skewed bell-shaped distribution peaked at Log T = 4.30 with a 3-sigma hot tail up to Log T = 4.60) |
The second block in Set Ia tables reports some relevant quantities from the SSP isochrones for different age (as labelled, in Gyr): | |||||||||||||||||||||||||||||||||||||||||
Mto = Turn Off stellar mass (in solar unit) | |||||||||||||||||||||||||||||||||||||||||
Mrt = Actual stellar mass at the RGB tip | |||||||||||||||||||||||||||||||||||||||||
Mpn = Actual stellar mass at the end of the AGB evolution | |||||||||||||||||||||||||||||||||||||||||
B11 = Specific evolutionary flux in unit of E-11/L_sun/yr (e.g. B11 = 1.30 means B = 1.3E-11/L_sun/yr) (see Renzini and Buzzoni 1986). | |||||||||||||||||||||||||||||||||||||||||
Photometric quantities in Set Ia/b tables: | |||||||||||||||||||||||||||||||||||||||||
Mbol = Integrated bolometric luminosity of the models. It is normalized at Mbol=0.0 at 15 Gyr. | |||||||||||||||||||||||||||||||||||||||||
(Bol-V) = Bolometric correction to the Johnson V band. For the Sun we assume (Bol-V) = -0.07 and Mbol(sun)= +4.72. | |||||||||||||||||||||||||||||||||||||||||
(U-V) | |||||||||||||||||||||||||||||||||||||||||
(B-V) | |||||||||||||||||||||||||||||||||||||||||
(V-R) Integrated colors for the SSP models in the Johnson U B V R I J H K system. | |||||||||||||||||||||||||||||||||||||||||
(V-I) | |||||||||||||||||||||||||||||||||||||||||
(V-J) | |||||||||||||||||||||||||||||||||||||||||
(V-H) | |||||||||||||||||||||||||||||||||||||||||
(V-K) | |||||||||||||||||||||||||||||||||||||||||
(g-V) | |||||||||||||||||||||||||||||||||||||||||
(g-r) Integrated colors for the SSP models in the Gunn g r i z system. | |||||||||||||||||||||||||||||||||||||||||
(g-i) (Match to Johnson magnitudes via the g-V color) | |||||||||||||||||||||||||||||||||||||||||
(g-z) | |||||||||||||||||||||||||||||||||||||||||
(M-V) | |||||||||||||||||||||||||||||||||||||||||
(C-M) Integrated colors for the SSP models in the Washington C M T1 T2 system. | |||||||||||||||||||||||||||||||||||||||||
(M-T1) (Match to Johnson magnitudes via the M-V color) | |||||||||||||||||||||||||||||||||||||||||
(M-T2) | |||||||||||||||||||||||||||||||||||||||||
Note that: | |||||||||||||||||||||||||||||||||||||||||
| Bolometric contribution (Set Ia): | | %MS = Bolometric luminosity fraction provided by Main Sequence stars. | %SGB = Sub Giant Branch contribution. | %RGB = Red Giant Branch contribution. | %HB = Horizontal Branch contribution. | %AGB = Asymptotic Giant Branch contribution. | %PAGB = Post-AGB contribution (i.e. hot phase in the Planetary Nebula event). | | By definition, %MS + %SGB + %RGB + %HB + %AGB + %PAGB = 1.000 | | Mass-to-light ratios (Set Ia): | | Three conservative estimates are provided, each for the bolometric, B, V and K luminosity. Both mass and luminosity are in solar unit (that is M/L = 1 for the Sun, at every photometric bands). |
1) | "Default" values refer to the bright mass alone (i.e. IMF is integrated from 0.1 M_sun to the Turn Off mass plus the actual mass of Post-MS stars, taking into account the mass loss effect). |
2) | The "Total Bright Mass (+Supernovae)" is as the previous one but now adding a fully prudent estimate of the Type II SN mass fraction. This is computed assuming that all stars in the range between 9 M_sun and 60 M_sun leave a remnant of 1.4 M_sun (the Chandrasekhar mass). The SN mass contribution is therefore computed as: M(SN) = (1.4 M_sun x Number of stars between 9 and 60 M_sun). |
3) | Finally, the "Conservative Total Mass" is obtained by integrating the IMF from 0.1 M_sun to 60 M_sun. |
Note, of course, that the upper limit of 60 M_sun is quite arbitrary. In fact, it is straightforward to update all the calculations for a different value, according to the assumed IMF power law. |
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