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Already before the Rutherford model of atomic structure, several theorists commented that the magneton should involve the Planck constant h. [6] By postulating that the ratio of electron kinetic energy to orbital frequency should be equal to h, Richard Gans computed a value that was twice as large as the Bohr magneton in September 1911. [7]
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]
The spin magnetic moment of a charged, spin-1/2 particle that does not possess any internal structure (a Dirac particle) is given by [1] =, where μ is the spin magnetic moment of the particle, g is the g-factor of the particle, e is the elementary charge, m is the mass of the particle, and S is the spin angular momentum of the particle (with magnitude ħ/2 for Dirac particles).
In atomic and nuclear physics, the Greek symbol μ represents the magnitude of the magnetic moment, often measured in Bohr magnetons or nuclear magnetons, associated with the intrinsic spin of the particle and/or with the orbital motion of the particle in a system. Values of the intrinsic magnetic moments of some particles are given in the ...
This means that the effects are additive, and a table of "diamagnetic contributions", or Pascal's constants, can be put together. [ 6 ] [ 7 ] [ 8 ] With paramagnetic compounds the observed susceptibility can be adjusted by adding to it the so-called diamagnetic correction, which is the diamagnetic susceptibility calculated with the values from ...
Here is the Bohr magneton and is the nuclear magneton. This last approximation is justified because μ N {\displaystyle \mu _{N}} is smaller than μ B {\displaystyle \mu _{B}} by the ratio of the electron mass to the proton mass.
Where is the z-component of the magnetic moment for each Zeeman level, so = is called the Bohr magneton and g J is the Landé g-factor, which reduces to the free-electron g-factor, g S when J = S. (in this treatment, we assume that the x - and y -components of the magnetization, averaged over all molecules, cancel out because the field applied ...
The above classical relation does not hold, giving the wrong result by the absolute value of the electron's g-factor, which is denoted g e: = | | =, where μ B is the Bohr magneton. The gyromagnetic ratio due to electron spin is twice that due to the orbiting of an electron.