
X-ray radiation is electromagnetic radiation used for imaging internal structures in medicine and materials.X-ray radiation is part of the electromagnetic spectrum with wavelengths from 0.01 to 10 nanometers, corresponding to photon energies from ~100 eV to ~100 keV. It penetrates materials more easily the lower their density and atomic number. In astronomy, X-rays are emitted by hot gas with temperatures of millions of degrees, for example in stellar coronae, accretion disks of black holes, and supernova remnants.
Wilhelm Conrad Röntgen discovered X-rays on November 8, 1895, while experimenting with cathode rays. He noticed the glow of a barium platinocyanide screen even when the tube was enclosed and called the rays unknown (X). In 1901, Röntgen was awarded the Nobel Prize. In 1912, Max von Laue and colleagues demonstrated the wave nature of X-rays through diffraction on crystals, which led to the development of X-ray crystallography. Arthur Compton in 1923 explained the scattering of X-rays by electrons (Compton effect), confirming the particle properties of radiation. William Lawrence Bragg and his father derived Bragg's law, becoming founders of crystallography.
When fast electrons collide with the anode in an X-ray tube, the sudden deceleration produces bremsstrahlung with a continuous spectrum, bounded by the minimum wavelength λ_min = hc/(eU), where U is the tube voltage. Electrons also eject inner-shell electrons from the anode atoms; when vacancies are filled, quanta are emitted with energies characteristic of the material, giving a line spectrum. According to Bragg's law, X-ray reflection from crystal planes follows the condition nλ = 2d sin θ, which is used for structure analysis. Compton scattering is described by the wavelength shift Δλ = (h/(m_e c))(1 - cos θ).
In medicine, it shines through the body to reveal fractures; at airports, it scans luggage without opening.
X-ray telescopes on satellites capture radiation from neutron stars; one such object can shine in X-rays as brightly as a million suns.
| \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 |















