The ratio of the abundance of one element to another, such as nitrogen-to-oxygen or sulfur-to-oxygen.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.
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.
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.
Abundance ratios are used to trace the chemical enrichment history of galaxies, to classify stars, and to study the formation of planetary systems.
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.
| O/H | variable | oxygen-to-hydrogen abundance ratio — abundance ratio |
| M | variable | stellar mass — mass kilogram |
| [X/Y] | variable | logarithmic abundance ratio relative to solar — abundance ratio |
| n_X | variable | number density of element X — number density per cubic metre |
| n_Y | variable | number density of element Y — number density per cubic metre |
| (n_X/n_Y)_⊙ | variable | solar ratio of number densities — number density ratio |
| log10 | operator | base-10 logarithm — logarithm base 10 |
| [\text{X/Y}] | variable | Abundance ratio of element X to Y relative to solar — abundance ratio |
| [\text{Z/Y}] | variable | Abundance ratio of element Z to Y relative to solar — abundance ratio |
| a | variable | Slope of the correlation — dimensionless |
| b | variable | Intercept of the correlation — dimensionless |











