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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.


Ell


An ell is a historical unit of length that was commonly used in medieval Europe, especially for measuring textiles and cloth. Its length varied by region but was typically about 45 inches (approximately 1.143 meters).


The ell originated from the length of the arm or forearm and was often used by tailors and merchants to measure fabric. Different countries had their own versions—for example, the English ell was about 45 inches, while the Scottish ell was longer, around 37 inches.


Although obsolete today, the ell played an important role in trade and clothing production before standardized measurements became widespread.


Summary:



  • 1 ell ≈ 45 inches (1.143 meters)



  • Used mainly for measuring cloth and textiles



  • Length varied by region and country



The ell is now largely of historical interest but reflects the origins of many modern measurement systems.




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