Scientists prefer to use the term "spin" rather than angular momentum. However, if one were to view an electron as a charged particle, spinning about its axis, but changing the direction of its axis of rotation so rapidly that only a fraction of its angular momentum points in any one direction at any time, then we could say the TOTAL angular momentum is
sqrt(3) h-bar/2
where h-bar is Planck's Constant divided by 2 pi.
and the angular momentum along one specific, external axis would be
plus or minus h-bar over two.
The relationship between an electron's spin angular momentum and its spin magnetic dipole moment is that the spin magnetic dipole moment is directly proportional to the spin angular momentum. This means that as the spin angular momentum of an electron increases, so does its spin magnetic dipole moment.
Fundamental particles such as the electron or the photon have an intrinsic spin, and this spin can't change - for example, an electron always has a spin of 1/2. I don't think the Pauli equation would change that.
The spin of an electron is 1/2 because it is an intrinsic property of the electron that determines its angular momentum. This value of 1/2 is a fundamental characteristic of electrons in quantum mechanics.
The momentum independent eigenstate defined for a twodimensional electron gas withlinear in momentum Bychkov-Rashba and Dresselhaus type spin-orbit interaction of equal magnitude. In momentum space this state is characterized by a +pi/4 or -pi/4spin orientation in the plane of the electron gas.
magnetic moment of a particle is due to its motion around some other orbits or about its own orbit i.e due to its orbital angular momentum or its spin angular momentum.
The total spin angular momentum of a system of three free electrons can be calculated by adding the individual spin angular momenta of each electron. Since each electron has a spin of 1/2, the total spin angular momentum of the system would be (1/2 +1/2 +1/2) = 3/2.
Electrons spin in an atom because they have a property called "spin," which is a fundamental characteristic of particles at the quantum level. This spin is a form of angular momentum that helps to stabilize the electron's position within the atom.
The magnitude of the electron's spin is greater than its magnetic moment because the spin of an electron contributes more to its intrinsic angular momentum than its magnetic moment does. The spin of an electron arises from its intrinsic properties and is a fundamental characteristic of the particle, whereas the magnetic moment is a consequence of the electron's charge and its motion.
The spin quantum number of an electron describes the intrinsic angular momentum of the electron, which is a fundamental property of particles like electrons that is not related to their orbital motion. It is quantized in units of ħ/2, where ħ is the reduced Planck constant, and can have values of either +1/2 or -1/2.
The electron is a fundamental particle with no known substructure: it does not have parts, it is simply an electron.
Electrons have an intrinsic property called "spin," which isn't the same as actual spinning motion. It is a quantum mechanical property that describes an electron's intrinsic angular momentum. Electrons can have a spin value of either +1/2 (spin-up) or -1/2 (spin-down).
ms = +1/2