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Classical Electron Radius


The classical electron radius is a theoretical length scale associated with the electron, derived from classical electromagnetism. It represents the size of a hypothetical sphere where the electron’s electrostatic energy equals its rest mass energy.



  • Its value is approximately 2.818 × 10⁻¹⁵ meters (about 2.8 femtometers).



  • Calculated using fundamental constants: the electron charge, mass, and the speed of light.



  • It is not the actual physical size of the electron (which is considered point-like in quantum mechanics), but a useful scale in classical physics.



  • Used in scattering theory and classical electron models.



Key facts:



  • Classical electron radius ≈ 2.818 × 10⁻¹⁵ m



  • Represents an electromagnetic length scale, not a physical size



  • Important in classical models of electron behavior



This radius helps bridge classical and quantum views of particle physics.


X-unit


The X-unit (symbol: xu) is a very small unit of length used primarily to measure wavelengths of X-rays and gamma rays. It was introduced in the early 20th century for precision measurements in X-ray crystallography.



  • 1 X-unit ≈ 0.1 picometers (pm) or 10⁻¹³ meters



  • It allows scientists to express extremely small wavelengths typical of X-rays, which are on the order of atomic spacing



  • The exact definition has varied historically, but the unit remains useful for comparing wavelengths in X-ray spectroscopy and crystallography



Though largely replaced by the picometer or ångström in modern usage, the X-unit played a crucial role in early developments of atomic-scale measurement.




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