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==Interaction with matter== [[File:Attenuation.svg|thumb|Attenuation length of X-rays in water showing the oxygen [[absorption edge]] at 540 eV, the energy<sup>−3</sup> dependence of [[Photoelectric effect|photoabsorption]], as well as a leveling off at higher photon energies due to [[Compton scattering]]. The attenuation length is about four orders of magnitude longer for hard X-rays (right half) compared to soft X-rays (left half).]] X-rays interact with matter in three main ways, through [[Photoelectric effect|photoabsorption]], [[Compton scattering]], and [[Rayleigh scattering]]. The strength of these interactions depends on the energy of the X-rays and the elemental composition of the material, but not much on chemical properties, since the X-ray photon energy is much higher than chemical binding energies. Photoabsorption or photoelectric absorption is the dominant interaction mechanism in the soft X-ray regime and for the lower hard X-ray energies. At higher energies, Compton scattering dominates.{{cn|date=December 2024}} ===Photoelectric absorption=== The probability of a photoelectric absorption per unit mass is approximately proportional to <math display="inline">Z^3/E^3</math>, where <math display="inline">Z</math> is the [[atomic number]] and <math display="inline">E</math> is the energy of the incident photon.<ref>{{Cite book |author1=Bushberg, Jerrold T. |author2=Seibert, J. Anthony |author3=Leidholdt, Edwin M. |author4=Boone, John M. |title= The essential physics of medical imaging |publisher= Lippincott Williams & Wilkins |date= 2002 |isbn= 978-0-683-30118-2 |page= 42}}</ref> This rule is not valid close to inner shell electron binding energies where there are abrupt changes in interaction probability, so called [[absorption edges]]. However, the general trend of high [[absorption coefficient]]s and thus short [[penetration depth]]s for low photon energies and high atomic numbers is very strong. For soft tissue, photoabsorption dominates up to about 26 keV photon energy where Compton scattering takes over. For higher atomic number substances, this limit is higher. The high amount of [[calcium]] (<math display="inline">Z=20</math>) in bones, together with their high density, is what makes them show up so clearly on medical radiographs.{{cn|date=December 2024}} A photoabsorbed photon transfers all its energy to the electron with which it interacts, thus ionizing the atom to which the electron was bound and producing a photoelectron that is likely to ionize more atoms in its path. An outer electron will fill the vacant electron position and produce either a characteristic X-ray or an [[Auger electron]]. These effects can be used for elemental detection through [[X-ray spectroscopy]] or [[Auger electron spectroscopy]].{{cn|date=December 2024}} ===Compton scattering=== Compton scattering is the predominant interaction between X-rays and soft tissue in medical imaging.<ref>{{Cite book |author1=Bushberg, Jerrold T. |author2=Seibert, J. Anthony |author3=Leidholdt, Edwin M. |author4=Boone, John M. |title= The essential physics of medical imaging |publisher= Lippincott Williams & Wilkins |date= 2002 |isbn= 978-0-683-30118-2 |page= 38}}</ref> Compton scattering is an [[inelastic scattering]] of the X-ray photon by an outer shell electron. Part of the energy of the photon is transferred to the scattering electron, thereby ionizing the atom and increasing the wavelength of the X-ray. The scattered photon can go in any direction, but a direction similar to the original direction is more likely, especially for [[high-energy X-rays]]. The probability for different scattering angles is described by the [[Klein–Nishina formula]]. The transferred energy can be directly obtained from the scattering angle from the [[conservation of energy]] and [[conservation of momentum|momentum]].{{cn|date=December 2024}} ===Rayleigh scattering=== Rayleigh scattering is the dominant [[elastic scattering]] mechanism in the X-ray regime.<ref>{{cite journal |last1=Kissel |first1=Lynn |title=RTAB: the Rayleigh scattering database |journal=Radiation Physics and Chemistry |date=August 2000 |volume=59 |issue=2 |pages=185–200 |doi=10.1016/S0969-806X(00)00290-5 |bibcode=2000RaPC...59..185K }}</ref> Inelastic forward scattering gives rise to the refractive index, which for X-rays is only slightly below 1.<ref>{{Cite book |author= Attwood, David |title= Soft X-rays and extreme ultraviolet radiation |publisher= Cambridge University Press |date= 1999 |isbn= 978-0-521-65214-8 |chapter-url= http://ast.coe.berkeley.edu/sxreuv/ |chapter= 3 |access-date= 4 November 2012 |archive-url= https://web.archive.org/web/20121111141255/http://ast.coe.berkeley.edu/sxreuv/ |archive-date= 2012-11-11 }}</ref>
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