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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 electron is a charged particle with charge − e, where e is the unit of elementary charge. Its angular momentum comes from two types of rotation: spin and orbital motion. From classical electrodynamics, a rotating distribution of electric charge produces a magnetic dipole, so that it behaves like a tiny bar magnet.
The quantity μ eff is effectively dimensionless, but is often stated as in units of Bohr magneton (μ B). [12] For substances that obey the Curie law, the effective magnetic moment is independent of temperature. For other substances μ eff is temperature dependent, but the dependence is small if the Curie-Weiss law holds and the Curie ...
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.
Free electrons possess electric charge and magnetic moment whose absolute value is about one Bohr magneton.. The standard electron spin resonance, also known as electron paramagnetic resonance (EPR), is due to the coupling of electron magnetic moment to the external magnetic field through the Hamiltonian = describing its Larmor precession.
The Hamiltonian for an electron in a static homogeneous magnetic field in an atom is usually composed of three terms = + (+) + where is the vacuum permeability, is the Bohr magneton, is the g-factor, is the elementary charge, is the electron mass, is the orbital angular momentum operator, the spin and is the component of the position operator orthogonal to the magnetic field.
Lorentz force on a charged particle (of charge q) in motion (velocity v), used as the definition of the E field and B field. Here subscripts e and m are used to differ between electric and magnetic charges. The definitions for monopoles are of theoretical interest, although real magnetic dipoles can be described using pole strengths.
where n is the number of charges, q i is the amount of charge associated with the ith charge, r i is the position of the ith charge, r is the position where the electric field is being determined, and ε 0 is the electric constant. If the field is instead produced by a continuous distribution of charge, the summation becomes an integral: