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The Weiss magneton was experimentally derived in 1911 as a unit of magnetic moment equal to 1.53 × 10 −24 joules per tesla, which is about 20% of the Bohr magneton. In the summer of 1913, the values for the natural units of atomic angular momentum and magnetic moment were obtained by the Danish physicist Niels Bohr as a consequence of his ...
The value of the electron magnetic moment (symbol μ e) is −9.284 764 6917 (29) × 10 −24 J⋅T −1. [1] In units of the Bohr magneton ( μ B ), it is −1.001 159 652 180 59 (13) μ B , [ 2 ] a value that was measured with a relative accuracy of 1.3 × 10 −13 .
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.
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).
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 ...
For first-row transition metals the magnitude of μ eff is, to a first approximation, a simple function of the number of unpaired electrons, the spin-only formula. In general, spin–orbit coupling causes μ eff to deviate from the spin-only formula. For the heavier transition metals, lanthanides and actinides, spin–orbit coupling cannot be ...
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.
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.