quantity

abundance ratio

The ratio of the abundance of one element to another, such as nitrogen-to-oxygen or sulfur-to-oxygen.
19 related articles · 3 formulas

Description

The abundance ratio is a measure used in astrophysics and geochemistry to compare the relative amounts of two chemical elements in a given sample, such as a star, nebula, or planetary atmosphere. Common examples include nitrogen-to-oxygen (N/O) or sulfur-to-oxygen (S/O) ratios. These ratios are more robust than absolute abundances because they cancel out many systematic uncertainties in measurement, such as distance or instrument calibration.

History

The concept of abundance ratios has been used since the early 20th century, particularly in stellar spectroscopy, but it became a standard tool in the 1970s with the advent of quantitative nebular analysis.

How it works

To determine an abundance ratio, scientists measure the intensity of spectral lines emitted or absorbed by each element in the sample. These intensities are converted to column densities or number densities using atomic physics models. The ratio is then simply the quotient of the two densities. Because both elements are observed through the same path and instrument, many errors cancel, making the ratio a reliable diagnostic of the chemical evolution of the sample.

In practice

Abundance ratios are used to trace the chemical enrichment history of galaxies, to classify stars, and to study the formation of planetary systems.

Fun fact

The nitrogen-to-oxygen ratio in the Sun is about 0.14, but in some old stars it can be ten times lower, reflecting the slow buildup of nitrogen over cosmic time.

Concept graph →

Formulas

$$12+\log(\mathrm{O}/\mathrm{H}) \propto \log(M)$$
Galaxy metallicity increases with stellar mass.
What is in the formula
O/Hvariableoxygen-to-hydrogen abundance ratio — abundance ratio
Mvariablestellar mass — mass kilogram
$$[\mathrm{X}/\mathrm{Y}] = \log_{10}\left(\frac{n_{\mathrm{X}}/n_{\mathrm{Y}}}{(n_{\mathrm{X}}/n_{\mathrm{Y}})_\odot}\right)$$
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
$$[\text{X/Y}] = a[\text{Z/Y}] + b$$
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

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