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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.


Barleycorn


A barleycorn is an old English unit of length, traditionally based on the length of a grain of barley. It is defined as exactly 1/3 of an inch or approximately 8.47 millimeters.


Historically, the barleycorn was used for measuring small lengths and was also the basis for the inch, which was originally considered to be three barleycorns long. It played a role in various traditional measurements, including shoe sizing in English-speaking countries, where shoe sizes were sometimes expressed in barleycorn units.


Although obsolete as a formal unit, the barleycorn remains culturally significant, especially in shoe sizing systems.


Summary:



  • 1 barleycorn = 1/3 inch ≈ 8.47 mm



  • Based on the length of a grain of barley



  • Used historically in small measurements and shoe sizing



  • Mostly of historical and cultural interest today





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