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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 .
Thirdly, the Landé g-factor, g J, is defined by | | = | | where μ J is the total magnetic moment resulting from both spin and orbital angular momentum of an electron, J = L + S is its total angular momentum, and μ B is the Bohr magneton. The value of g J is related to g L and g s by a quantum-mechanical argument; see the article Landé g-factor.
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 best available measurement for the value of the magnetic moment of the neutron is μ n = −1.913 042 76 (45) μ N. [3] [4] Here, μ N is the nuclear magneton, a standard unit for the magnetic moments of nuclear components, and μ B is the Bohr magneton, both being physical constants.
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.
This is known as the Curie law and the proportionality constant, C, is known as the Curie constant, whose value, for molar susceptibility, is calculated as [11] = (+) where N is the Avogadro constant, g is the Landé g-factor, and μ B is the Bohr magneton.
This equation is known as the Breit–Rabi formula and is useful for systems with one valence electron in an (= /) level. [ 9 ] [ 10 ] Note that index F {\displaystyle F} in Δ E F = I ± 1 / 2 {\displaystyle \Delta E_{F=I\pm 1/2}} should be considered not as total angular momentum of the atom but as asymptotic total angular momentum .