phenomenon

stellar chemical abundances

Element composition in stars used to trace galactic history and evolution.
49 related articles · 6 formulas

Description

Stellar chemical abundances refer to the relative amounts of different chemical elements in a star's atmosphere. These abundances are the fingerprints of the star's birth cloud and its subsequent evolution. By measuring them, astronomers can trace the history of the universe — from the primordial hydrogen and helium forged in the Big Bang to the heavier elements produced in stars and supernovae. The pattern of abundances in a star tells us when it formed, what kind of gas it came from, and even about the environment of its parent galaxy.

History

The field began in the 1920s with Cecilia Payne-Gaposchkin's pioneering work, who showed that stars are mostly hydrogen and helium. Later, in the 1950s–1960s, detailed abundance analyses became routine with improved spectroscopy and model atmospheres.

How it works

Astronomers determine abundances by analyzing the star's spectrum — the light it emits or absorbs. Each element absorbs or emits light at specific wavelengths, creating characteristic lines. The strength of these lines, combined with models of the star's atmosphere (temperature, pressure, density), allows scientists to infer how much of each element is present. Comparing abundances across different stars reveals trends, such as the increase in heavy elements over time as successive generations of stars enrich the interstellar medium.

In practice

Stellar abundances are used to reconstruct the chemical evolution of galaxies, identify stars that formed from nearly pristine gas, and even to find stars that might host planets with specific compositions — a key input for understanding planetary habitability.

Fun fact

The Sun's iron abundance is about 0.3% by mass, but this tiny fraction is enough to tell us that the Sun formed from gas enriched by many earlier generations of massive stars.

Concept graph →

Formulas

$$\log_{10}(M/M_\odot) = a \log_{10}(L/L_\odot) + b$$
Relates stellar mass to luminosity.
What is in the formula
Mvariablestellar mass — mass kilogram
Lvariablestellar luminosity — luminosity watt
M_sunvariablesolar mass — mass kilogram
L_sunvariablesolar luminosity — luminosity watt
aconstantempirical slope of the relation — empirical slope = 3.5
bconstantempirical intercept of the relation — empirical intercept = 0
log10operatorbase-10 logarithm — logarithm base 10
\log_{10}(m_{{he}}/m_\odot)=0.659\log_{10}(l/l_\odot)-2.630 · 2601.06577
$$[\mathrm{X}/\mathrm{Y}] = \log_{10}\left(\frac{n_{\mathrm{X}}/n_{\mathrm{Y}}}{(n_{\mathrm{X}}/n_{\mathrm{Y}})_\odot}\right)$$
Logarithmic measure of element abundance relative to solar composition.
What is in the formula
[X/Y]variablelogarithmic abundance ratio relative to solar — abundance ratio
n_Xvariablenumber density of element X — number density per cubic metre
n_Yvariablenumber density of element Y — number density per cubic metre
(n_X/n_Y)_⊙variablesolar ratio of number densities — number density ratio
log10operatorbase-10 logarithm — logarithm base 10
[{si}/{h}]=1.41\pm0.2{dex} · 2606.03824v1
y_{{he}}=\frac{n_{{he}}}{n_{{h}}} · 2607.17348v1
$$\frac{n_{\mathrm{X}}}{n_{\mathrm{Y}}}$$
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
$$\text{Enrichment} = \frac{P(i|b)}{P(i|\text{all})}$$
Ratio of element frequency in subset to overall frequency.
What is in the formula
\text{Enrichment}variableEnrichment factor — enrichment factor
P(i|b)variableProbability of element i in subset b — probability
P(i|\text{all})variableProbability of element i in the whole set — probability
{enrichment}(i,b)=\frac{p(i|b)}{p(i|{all})} · 2606.22926
$$[\text{X/Y}] = a[\text{Z/Y}] + b$$
Linear correlation between elemental abundances indicates different nucleosynthetic sources.
What is in the formula
[\text{X/Y}]variableAbundance ratio of element X to Y relative to solar — abundance ratio
[\text{Z/Y}]variableAbundance ratio of element Z to Y relative to solar — abundance ratio
avariableSlope of the correlation — dimensionless
bvariableIntercept of the correlation — dimensionless
[{n/fe}]\approx-0.5[{o/fe}]+{const} · 2607.05509v1
$$\dot{r}^2 = \frac{2GM(r)}{r} - k$$
Describes radial motion with density-dependent critical factor.
What is in the formula
rvariableradial coordinate (distance from center) — radius metre
M(r)variableenclosed mass within radius r — mass kilogram
kvariableconstant of motion (related to energy per unit mass) — specific energy metre squared per second squared
GconstantNewtonian constant of gravitation, fundamental strength of gravity — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared
˙operatorderivative with respect to time — time derivative
\dot{r}^2=\frac{2gm(r)}{r}(1-\frac{ρ(r,t)}{ρ_{{crit}}}) · 2605.07848v2

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