
A measure of how transparent a medium is to radiation.Opacity is a measure of how transparent a medium is to radiation, such as light, X-rays, or radio waves. A material with high opacity blocks most radiation, while a material with low opacity allows it to pass through. This property is fundamental in fields ranging from astrophysics, where it determines how light travels through stellar interiors, to medicine, where it affects the quality of X-ray images. Opacity depends on the wavelength of the radiation and the composition and density of the material.
Opacity arises from the interaction between radiation and matter. When photons pass through a medium, they can be absorbed by atoms or molecules, exciting electrons to higher energy levels, or they can be scattered, changing direction. The probability of these interactions per unit length is quantified by the opacity. A high opacity means that photons are quickly absorbed or scattered, so the radiation cannot penetrate far into the medium.
Opacity is used to design protective shielding for radiation, to model the behavior of stars and planetary atmospheres, and to optimize medical imaging techniques.
The opacity of the Sun's interior is so high that a photon takes about 100,000 years to travel from the core to the surface, despite moving at the speed of light.
| L_{\rm Edd} | variable | Eddington luminosity — luminosity watt |
| M | variable | Mass of the object — mass kilogram |
| c | variable | Speed of light — speed metre per second |
| G | constant | Newtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| \kappa | constant | Opacity of the stellar material — opacity = 0.034 square metre per kilogram |
| L_Edd | variable | Eddington luminosity — luminosity watt |
| M | variable | Mass of the object — mass kilogram |
| κ | variable | Opacity of the accreting material — opacity square metre per kilogram |
| G | constant | Newtonian gravitational constant — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |
| L_Edd | variable | Eddington luminosity — luminosity watt |
| M | variable | Mass of the object — mass kilogram |
| κ | variable | Opacity of the stellar material — opacity square metre per kilogram |
| G | constant | Constant of universal gravitation — gravitational constant = 6.67430e-11 cubic metre per kilogram per second squared |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |
| π | constant | Mathematical constant pi — pi = 3.14159 |
| κ_d | variable | dust opacity (absorption+scattering per unit mass) — opacity square metre per kilogram |
| X_d | variable | dust mass fraction (mass of dust per unit mass of gas+dust) — mass fraction |
| ρ_d | variable | material density of dust grain — density kilogram per cubic metre |
| λ | variable | wavelength of radiation — wavelength metre |
| β | variable | spectral index of opacity |
| κ | variable | opacity (absorption coefficient) — opacity square metre per kilogram |
| ν | variable | frequency of radiation — frequency hertz |
| d/d log ν | operator | derivative with respect to the natural logarithm of frequency — logarithmic derivative |
| \mathbf{F} | variable | Radiation flux vector — radiation flux watt per square metre |
| \kappa | variable | Opacity (mass absorption coefficient) — opacity square metre per kilogram |
| \rho | variable | Mass density — mass density kilogram per cubic metre |
| e_{\text{rad}} | variable | Radiation energy density — energy density joule per cubic metre |
| c | constant | Speed of light in vacuum — speed of light = 299792458 metre per second |
| \nabla | operator | Spatial gradient — nabla operator |





