The magnetic dipole moment of an atomic nucleus. Its relation to nuclear spin is expressed by the gyromagnetic ratio; its interaction with an applied magnetic field underlies nuclear magnetic resonance.
The dimensionless coefficient in the nuclear-moment relation when I is in hbar units. The saturated projection is . Distinguish a ratio of these coefficients from a ratio of moments when the nuclear spins differ.
The nuclear magneton is the unit of magnetic momentwhere is the proton mass. For a nuclear spin operator , the nuclear magnetic moment is . Consequently its gyromagnetic ratio is , and its Larmor frequency in a uniform magnetic field of magnitude is . The nuclear magneton is smaller than the Bohr magneton by the electron-to-proton mass ratio.
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The nuclear magnetic moment is a property of atomic nuclei that reflects their magnetic characteristics. It is a measure of the strength and orientation of a nucleus's intrinsic magnetic field, which arises from the spin and orbital angular momentum of its constituent protons and neutrons. Key points about nuclear magnetic moments include: 1. **Origin**: The nuclear magnetic moment is primarily due to the spin of the protons and neutrons in the nucleus, though it can also involve the orbital motion of these particles.
