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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 ...
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 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 ...
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 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.
When two spin-polarized atoms in their ground state experience a spin-exchange collision, the total spin of the atoms is preserved yet the orientation of the individual spins may change. For example, if atoms A {\displaystyle A} and B {\displaystyle B} are oppositely polarized , a spin-exchange collision reverses the spins: [ 2 ]
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 .
However, a more accurate model takes into account relativistic and spin effects, which break the degeneracy of the energy levels and split the spectral lines. The scale of the fine structure splitting relative to the gross structure energies is on the order of ( Zα ) 2 , where Z is the atomic number and α is the fine-structure constant , a ...