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Spin is described mathematically as a vector for some particles such as photons, and as a spinor or bispinor for other particles such as electrons. Spinors and bispinors behave similarly to vectors: they have definite magnitudes and change under rotations; however, they use an unconventional "direction". All elementary particles of a given kind ...
The spin magnetic moment is intrinsic for an electron. [3] It is = . Here S is the electron spin angular momentum. The spin g-factor is approximately two: . The factor of two indicates that the electron appears to be twice as effective in producing a magnetic moment as a charged body for which the mass and charge distributions are identical.
The wave properties of electrons are easier to observe with experiments than those of other particles like neutrons and protons because electrons have a lower mass and hence a longer de Broglie wavelength for a given energy. Electrons play an essential role in numerous physical phenomena, such as electricity, magnetism, chemistry, and thermal ...
A pair of electrons in a spin singlet state has S = 0, and a pair in the triplet state has S = 1, with m S = −1, 0, or +1. Nuclear-spin quantum numbers are conventionally written I for spin, and m I or M I for the z-axis component. The name "spin" comes from a geometrical spinning of the electron about an axis, as proposed by Uhlenbeck and ...
The Lorentz force of the magnetic field on the electrons in the metal induces a sideways current under the magnet. The magnetic field, acting on the sideways moving electrons, creates a Lorentz force opposite to the velocity of the sheet, which acts as a drag force on the sheet.
By contrast, an isolated Ni atom (electron configuration = 3d 8 4s 2) in a cubic crystal field will have two unpaired electrons of the same spin (hence, =) and would thus be expected to have in the localized electron model a total spin magnetic moment of = (but the measured spin-only magnetic moment along one axis, the physical observable, will ...
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).
It is the force that binds electrons to atoms, and it holds molecules together. It is responsible for everyday phenomena like light , magnets , electricity , and friction . Electromagnetism fundamentally determines all macroscopic, and many atomic-level, properties of the chemical elements .