Gyromagnetic ratio Totally Explained

Everything about Gyromagnetic Ratio totally explained

In physics, the gyromagnetic ratio (also sometimes known as the magnetogyric ratio in other disciplines) of a particle or system is the ratio of its magnetic dipole moment to its angular momentum, and it's often denoted by the symbol γ, gamma. Its SI units are radian per second per tesla (s^-1T^-1) or, equivalently, coulomb per kilogram (C/kg).

Gyromagnetic ratio and Larmor precession

Any free system with a constant gyromagnetic ratio, such as a rigid system of charges, a nucleus, or an electron, when placed in an external magnetic field B (measured in teslas) that isn't aligned with its magnetic moment, will precess at a frequency f (measured in hertz), that's proportional to the external field: ť

f=frac

is the nuclear magneton, and g is the g-factor of the nucleon or nucleus in question.
The gyromagnetic ratio of a nucleus is particularly important because of the role it plays in Nuclear Magnetic Resonance (NMR) and Magnetic Resonance Imaging (MRI). These procedures rely on the fact that nuclear spins precess in a magnetic field at a rate called the Larmor frequency, which is simply the product of the gyromagnetic ratio with the magnetic field strength.
Approximate values for some common nuclei are given in the Table below.

Nucleus	γ / 2π (MHz/T)
¹H	42.576
³He	-32.434
⁷Li	16.546
¹³C	10.705
¹⁴N	3.0766
¹⁵N	-4.3156
¹⁷O	-5.7716
²³Na	11.262
³¹P	17.235
¹²⁹Xe	-11.777

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