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The spin magnetic moment of a charged, spin-1/2 particle that does not possess any internal structure (a Dirac particle) is given by [1] =, where μ is the spin magnetic moment of the particle, g is the g-factor of the particle, e is the elementary charge, m is the mass of the particle, and S is the spin angular momentum of the particle (with magnitude ħ/2 for Dirac particles).
In atomic physics, the Landé g-factor is a multiplicative term appearing in the expression for the energy levels of an atom in a weak magnetic field. The quantum states of electrons in atomic orbitals are normally degenerate in energy, with these degenerate states all sharing the same angular momentum. When the atom is placed in a weak ...
Since a gyromagnetic factor equal to 2 follows from Dirac's equation, it is a frequent misconception to think that a g-factor 2 is a consequence of relativity; it is not. The factor 2 can be obtained from the linearization of both the Schrödinger equation and the relativistic Klein–Gordon equation (which leads to Dirac's).
Symbol Name Meaning SI unit of measure alpha: alpha particle: angular acceleration: radian per second squared (rad/s 2) fine-structure constant: unitless beta: velocity in terms of the speed of light c: unitless beta particle: gamma: Lorentz factor: unitless photon: gamma ray: shear strain: radian
the symbol ϖ, a graphic variant of π, is sometimes construed as omega with a bar over it; see π; the unsaturated fats nomenclature in biochemistry (e.g. ω−3 fatty acids) the first uncountable ordinal (also written as Ω) the clique number (number of vertices in a maximum clique) of a graph in graph theory
For the neutron, I is 1 / 2 ħ, so the neutron's g-factor is g n = −3.826 085 52 (90), [35] while the proton's g-factor is g p = 5.585 694 6893 (16). [36] The gyromagnetic ratio, symbol γ, of a particle or system is the ratio of its magnetic moment to its spin angular momentum, or =.
Average mortgage rates edge higher for 30-year and 15-year terms as of Wednesday, December 18, 2024, as the Federal Reserve is set to conclude its final policy session of the year.
The spin angular momentum of an electron is 1 / 2 ħ, but the intrinsic electron magnetic moment caused by its spin is also approximately one Bohr magneton, which results in the electron spin g-factor, a factor relating spin angular momentum to corresponding magnetic moment of a particle, having a value of approximately 2. [15]