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• Classical_electron_radius abstract "The classical electron radius, also known as the Lorentz radius or the Thomson scattering length, is based on a classical (i.e., non-quantum) relativistic model of the electron. According to modern research, the electron is assumed to be a point particle with a point charge and no spatial extent. However, the classical electron radius is calculated aswhere and are the electric charge and the mass of the electron, is the speed of light, and is the permittivity of free space.In cgs units, this becomes more simplywith (to three significant digits).Using classical electrostatics, the energy required to assemble a sphere of constant charge density, of radius and charge is.If the charge is on the surface the energy is.Ignoring the factors 3/5 or 1/2, if this is equated to the relativistic energy of the electron and solved for , the above result is obtained.In simple terms, the classical electron radius is roughly the size the electron would need to have for its mass to be completely due to its electrostatic potential energy - not taking quantum mechanics into account. We now know that quantum mechanics, indeed quantum field theory, is needed to understand the behavior of electrons at such short distance scales, thus the classical electron radius is no longer regarded as the actual size of an electron. Still, the classical electron radius is used in modern classical-limit theories involving the electron, such as non-relativistic Thomson scattering and the relativistic Klein–Nishina formula. Also, the classical electron radius is roughly the length scale at which renormalization becomes important in quantum electrodynamics.The classical electron radius is one of a trio of related units of length, the other two being the Bohr radius and the Compton wavelength of the electron . The classical electron radius is built from the electron mass , the speed of light and the electron charge . The Bohr radius is built from ,and Planck's constant . The Compton wavelength is built from , and . Any one of these three lengths can be written in terms of any other using the fine structure constant Extrapolating from the initial equation, any mass can be imagined to have an 'electromagnetic radius' similar to the electron's classical radius.where is Coulomb's constant, is the fine structure constant and is the reduced Planck's constant.".
• Classical_electron_radius wikiPageExternalLink classical_electron_radius.
• Classical_electron_radius wikiPageExternalLink ElectronStructure.htm.
• Classical_electron_radius wikiPageID "1362465".
• Classical_electron_radius wikiPageRevisionID "598851787".
• Classical_electron_radius hasPhotoCollection Classical_electron_radius.
• Classical_electron_radius subject Category:Atomic_physics.
• Classical_electron_radius subject Category:Electron.
• Classical_electron_radius subject Category:Physical_constants.
• Classical_electron_radius type Abstraction100002137.
• Classical_electron_radius type Cognition100023271.
• Classical_electron_radius type Concept105835747.
• Classical_electron_radius type Constant105858936.
• Classical_electron_radius type Content105809192.
• Classical_electron_radius type Idea105833840.
• Classical_electron_radius type PhysicalConstants.
• Classical_electron_radius type PsychologicalFeature100023100.
• Classical_electron_radius type Quantity105855125.
• Classical_electron_radius comment "The classical electron radius, also known as the Lorentz radius or the Thomson scattering length, is based on a classical (i.e., non-quantum) relativistic model of the electron. According to modern research, the electron is assumed to be a point particle with a point charge and no spatial extent.".
• Classical_electron_radius label "Classical electron radius".
• Classical_electron_radius label "Klasyczny promień elektronu".
• Classical_electron_radius label "Radio clásico del electrón".
• Classical_electron_radius label "Raggio classico dell'elettrone".
• Classical_electron_radius label "Классический радиус электрона".
• Classical_electron_radius label "نصف قطر تقليدي للإلكترون".
• Classical_electron_radius sameAs Klasický_poloměr_elektronu.
• Classical_electron_radius sameAs Radio_clásico_del_electrón.
• Classical_electron_radius sameAs Raggio_classico_dell'elettrone.
• Classical_electron_radius sameAs Klasyczny_promień_elektronu.
• Classical_electron_radius sameAs m.04ws2q.
• Classical_electron_radius sameAs Q2152581.
• Classical_electron_radius sameAs Q2152581.
• Classical_electron_radius sameAs Classical_electron_radius.
• Classical_electron_radius wasDerivedFrom Classical_electron_radius?oldid=598851787.
• Classical_electron_radius isPrimaryTopicOf Classical_electron_radius.