Search results
Results from the WOW.Com Content Network
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 ...
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 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.
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.
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.
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.
Other magnetic quantum numbers are similarly defined, such as m j for the z-axis component the total electronic angular momentum j, [1] and m I for the nuclear spin I. [2] Magnetic quantum numbers are capitalized to indicate totals for a system of particles, such as M L or m L for the total z-axis orbital angular momentum of all the electrons ...
Each of these has a different energy, due to the external field B: The energy associated with quantum number m is = = / (where g is the g-factor, μ B is the Bohr magneton, and x is as defined in the text above).