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Bohr Radius


The Bohr radius is a fundamental physical constant that represents the average distance between the nucleus and the electron in a hydrogen atom in its ground state, according to the Bohr model of the atom.



  • Its value is approximately 5.29177 × 10⁻¹¹ meters (about 0.529 angstroms).



  • Named after physicist Niels Bohr, who introduced the model in 1913.



  • It sets a natural length scale in atomic physics and quantum mechanics.



  • Used to describe atomic sizes and electron orbitals.



Key facts:



  • Bohr radius ≈ 5.29 × 10⁻¹¹ m



  • Represents the typical size of a hydrogen atom’s electron orbit



  • Fundamental to quantum physics and atomic structure



The Bohr radius is essential for understanding atomic dimensions and quantum behavior of electrons.



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.



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