concept

metallicity

Metallicity is the abundance of elements heavier than helium in astronomical objects like stars and gas clouds.
31 related articles · 5 formulas · 6 who worked here

Description

Metallicity (usually denoted as Z) is a quantitative characteristic that determines what fraction of the mass of a star or interstellar gas consists of elements heavier than helium. Although astrophysicists call them 'metals', this group includes carbon, nitrogen, oxygen, and even uranium and gold. The index [Fe/H] is widely used — the difference of the decimal logarithms of the ratio of the number of iron atoms to the number of hydrogen atoms in the star and in the Sun: [Fe/H] = log₁₀(N_Fe/N_H) – log₁₀(N_Fe/N_H)_⊙. Iron was chosen because its lines are easy to measure in spectra. Solar metallicity by mass Z_⊙ ≈ 0.016 (according to modern data ~0.012). Stars with high Z have stronger winds due to many spectral lines that absorb radiation, and they are cooler at the same mass. The presence of giant planets is statistically correlated with increased metallicity of the parent stars.

History

At the beginning of the 20th century, spectroscopists noticed that stars differ in the intensity of metal lines. The key breakthrough was made by Cecilia Payne-Gaposchkin in 1925: applying Saha’s ionization theory, she proved that stars consist mainly of hydrogen, and differences in spectra are explained by temperature, not composition. In the 1940s, Walter Baade, studying galaxies resolved into individual stars, identified Population I (metal-rich, disk) and Population II (metal-poor, halo). With the advent of high-sensitivity spectroscopy and large-scale surveys (SDSS, Gaia), the metallicities of millions of stars have been measured, allowing the reconstruction of the chemical evolution of the Milky Way.

How it works

Elements heavier than helium, except for a small amount of lithium and beryllium, are synthesized inside stars. On the main sequence, hydrogen is converted into helium, then in later stages helium is converted into carbon, oxygen, and so on up to iron (the peak of the binding energy curve). Heavy nuclei (copper, gold, uranium) are created by neutron capture processes: the slow s-process in the shells of asymptotic giant branch stars and the rapid r-process during supernova explosions or neutron star mergers. The products of nucleosynthesis are ejected into the interstellar medium through winds, planetary nebulae, and explosions. Subsequent generations of stars form from this enriched material, increasing the average metallicity with time. The observed distribution of [Fe/H] in different components of the Galaxy (thin disk, thick disk, halo) reflects their age and migration. Thus, massive elliptical galaxies retain metals in a deep potential well and exhibit high Z. In stellar models, metallicity enters into the equation of state, opacity (calculated using OPAL or OP grids), and nuclear reaction rates. For spectroscopic determination of [Fe/H], the measured equivalent widths of Fe I and Fe II lines are compared with synthetic spectra, solving the transfer equations assuming local thermodynamic equilibrium (LTE) or taking into account non-LTE deviations.

In practice

Metallicity determines a star's color, temperature, lifetime, and the probability of rocky planet formation around it; for galaxies, it is a chronicle of chemical evolution, allowing the reconstruction of the history of star formation and mergers.

Fun fact

The record low-metallicity star SMSS 0313-6708 has [Fe/H] ≈ –7.4 — meaning it has almost 25 million times less iron than the Sun. It formed from gas enriched probably by just one supernova explosion in the early Universe.

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Formulas

$$\Delta[\mathrm{X}/\mathrm{Y}] = \log_{10}\left(\frac{N_{\mathrm{X}}}{N_{\mathrm{Y}}}\right)_2 - \log_{10}\left(\frac{N_{\mathrm{X}}}{N_{\mathrm{Y}}}\right)_1$$
Logarithmic difference in element abundance ratios.
What is in the formula
\Delta[\mathrm{X}/\mvariableDifference in logarithmic abundance ratio — metallicity difference
N_{\mathrm{X}}variableNumber density of element X — number density per cubic metre
N_{\mathrm{Y}}variableNumber density of element Y — number density per cubic metre
\log_{10}operatorBase-10 logarithm — logarithm base 10
\DeltaoperatorDifference between two states — difference
δ[{fe/h}]=\log_{10}(\frac{n_{{fe}}}{n_{{h}}})_{{2nd}}-\log_{10}(\frac{n_{{fe}}}{n_{{h}}})_{{1st}}=0.082{dex} · 2606.29435
$$|X| < \operatorname{cf}(\kappa)$$
The cardinality of a set is less than the cofinality of a cardinal.
What is in the formula
Xvariablea set — set
κvariablea cardinal number — cardinal number
|X|operatorcardinality of the set X — cardinality
cf(κ)operatorcofinality of the cardinal κ — cofinality
|x|<\operatorname{cf}(\mathfrak{c}) · 2607.01068
$$12+\log(\mathrm{O}/\mathrm{H}) \propto \log(M)$$
Galaxy metallicity increases with stellar mass.
What is in the formula
O/Hvariableoxygen-to-hydrogen abundance ratio — abundance ratio
Mvariablestellar mass — mass kilogram
12+\log({o}/{h})\approx0.27*(\log_{10}(m/m_\odot)-10)+8.44 · 2512.16989
$$m = -2.5 \log_{10}(F) + \text{ZP}$$
Definition of astronomical magnitude from flux.
What is in the formula
mvariableapparent magnitude — magnitude
Fvariableflux — flux watt per square metre
ZPvariablezero point — zero point
log10operatorbase-10 logarithm — logarithm base 10
mag=-2.5\log({flux})+{zp}_{{vega}} · 2607.26330v1
$$\frac{n_{\mathrm{X}}}{n_{\mathrm{Y}}}$$
Ratio of number densities of two chemical elements.
What is in the formula
n_Xvariablenumber density of element X — number density per cubic metre
n_Yvariablenumber density of element Y — number density per cubic metre
{c/o}=0.26\pm0.05 · 2606.03824v1

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