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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 ...
4.330 7346 × 10 −27 m 2 ⋅A: Magnetic moment of a deuterium nucleus 10 −26: 1.410 6067 × 10 −26 m 2 ⋅A: Magnetic moment of a proton: 10 −24: 9.284 764 × 10 −24 m 2 ⋅A: Magnetic moment of a positron: 9.274… × 10 −24 m 2 ⋅A: Bohr magneton: 10 −18: 0.65–2.65 nm 2 ⋅A (1 nm 2 ⋅A = 10 −18 m 2 ⋅A) [2] Magnetic ...
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. Magnetic moment of an electron [ edit ]
The formula needed in this case to calculate m in (units of A⋅m 2) is: =, where: B r is the residual flux density, expressed in teslas. V is the volume of the magnet (in m 3). μ 0 is the permeability of vacuum (4π × 10 −7 H/m). [6]
For an electron, s is 1 ⁄ 2, and m s is either + 1 ⁄ 2 or − 1 ⁄ 2, often called "spin-up" and "spin-down", or α and β. [ 1 ] [ 2 ] The term magnetic in the name refers to the magnetic dipole moment associated with each type of angular momentum, so states having different magnetic quantum numbers shift in energy in a magnetic field ...
where N is the Avogadro constant, g is the Landé g-factor, and μ B is the Bohr magneton. In this treatment it has been assumed that the electronic ground state is not degenerate, that the magnetic susceptibility is due only to electron spin and that only the ground state is thermally populated.
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Written in terms of the Bohr magneton, this gives: =. Recognizing that m e v is the electron momentum, p , and that r × p / ħ is the orbital angular momentum in units of ħ , ℓ , we can write: B el ℓ = − 2 μ B μ 0 4 π 1 r 3 ℓ . {\displaystyle \mathbf {B} _{\text{el}}^{\ell }=-2\mu _{\text{B}}{\frac {\mu _{0}}{4\pi }}{\frac {1}{r^{3 ...