Spin Angular Momentum Of Nucleus
There are two quantum numbers associated with the spin angular momentum momentum that determine its properties.
Spin angular momentum of nucleus. For electrons in atoms we make a clear distinction between electron spin and electron orbital angular momentum, and then combine them to give the total angular momentum. In quantum mechanics and particle physics, spin is an intrinsic form of angular momentum carried by elementary particles, composite particles (), and atomic nuclei. Like molecules, nuclei have magnetic moments that are proportional to their angular momentum for a fixed configuration of nucleons.
As such, it obeys all the relations given for angular momentum under the quantum mechanics of rotation, here. The spin angular momentum S of the nucleus and the neutron, and their orbital angular momentum vector L, are expressed in units of the reduced Planck’s constant ℏ = h / 2π. The contribution, H Zeeman, to the nuclear spin Hamiltonian, in units of hertz, has the form:.
The stability of a particular nucleus is closely related to the energies of these orbits. H Zeeman = − 1 2 π ∑ i γ i (1 − σ ZZi) B 0 I Zi where γi is the magnetogyric ratio of the i th nucleus, and IZi is the component along Z of the nuclear spin angular momentum operator, Ii. It is common practice to represent the total angular momentum of a nucleus by the symbol I and to call it "nuclear spin".
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