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The magnetic moment of the electron is =, where μ B is the Bohr magneton, S is electron spin, and the g-factor g S is 2 according to Dirac's theory, but due to quantum electrodynamic effects it is slightly larger in reality: 2.002 319 304 36.
In atomic physics, the electron magnetic moment, or more specifically the electron magnetic dipole moment, is the magnetic moment of an electron resulting from its intrinsic properties of spin and electric charge. The value of the electron magnetic moment (symbol μ e) is −9.284 764 6917 (29) × 10 −24 J⋅T −1. [1]
Second, the inherent rotation, or spin, of the electron has a spin magnetic moment. In the Bohr model of the atom, for an electron that is in the orbit of lowest energy, its orbital angular momentum has magnitude equal to the reduced Planck constant, denoted ħ. The Bohr magneton is the magnitude of the magnetic dipole moment of an electron ...
where is the angular frequency, [1] is the magnitude of the applied magnetic field, and is the gyromagnetic ratio for a particle of charge, [2] equal to , where is the mass of the precessing system, while is the g-factor of the system.
where is the elementary charge, is the electron mass, is the speed of light, and is the permittivity of free space. [1] This numerical value is several times larger than the radius of the proton . In cgs units , the permittivity factor and 1 4 π {\displaystyle {\frac {1}{4\pi }}} do not enter, but the classical electron radius has the same value.
The invariant mass of an electron is approximately 9.109 × 10 −31 kg, [80] or 5.489 × 10 −4 Da. Due to mass–energy equivalence, this corresponds to a rest energy of 0.511 MeV (8.19 × 10 −14 J). The ratio between the mass of a proton and that of an electron is about 1836.
μ 0 is the permeability of space, which equals 4π×10 −7 T·m/A; B is the flux density, in T; The derivation of this equation is analogous to the force between two nearby electrically charged surfaces, [5] which assumes that the field in between the plates is uniform.
The magnetic force (qv × B) component of the Lorentz force is responsible for motional electromotive force (or motional EMF), the phenomenon underlying many electrical generators. When a conductor is moved through a magnetic field, the magnetic field exerts opposite forces on electrons and nuclei in the wire, and this creates the EMF.