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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 ...
Assuming the field is weak and the motion of the electron non-relativistic, we have the total energy of the electron approximately equal to its rest energy, and the momentum reducing to the classical value, and so the second equation may be written + which is of order v / c - thus at typical energies and velocities, the bottom ...
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.
In the first-order Zeeman effect the energy difference between the two states is proportional to the applied field strength. Denoting the energy difference as Δ E , the Boltzmann distribution gives the ratio of the two populations as e − Δ E / k T {\displaystyle e^{-\Delta E/kT}} , where k is the Boltzmann constant and T is the temperature ...
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 Bohr radius ( ) is a physical constant, approximately equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state. It is named after Niels Bohr, due to its role in the Bohr model of an atom. Its value is 5.291 772 105 44 (82) × 10 −11 m. [1] [2]
The potential magnetic energy of a magnet or magnetic moment in a magnetic field is defined as the mechanical work of the magnetic force on the re-alignment of the vector of the magnetic dipole moment and is equal to: = The mechanical work takes the form of a torque : = = which will act to "realign" the magnetic dipole with the magnetic field.