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Chemistry · Glossary

What is Nuclear spin quantum number, gyromagnetic ratio?

Also known as: nuclear spin quantum number · gyromagnetic ratio

Definition 8.1 University Chemistry — Year 3 · Chapter 8 — NMR in Depth: Pulses, Relaxation and 2D

A nucleus has a spin angular momentum of quantum number II, its nuclear spin quantum number (I=0I = 0 for X12X2212C\ce{^{12}C}, X16X2216O\ce{^{16}O}; 12\frac12 for X1X221H\ce{^1H}, X13X2213C\ce{^{13}C}, X15X2215N\ce{^{15}N}, X19X2219F\ce{^{19}F}, X31X2231P\ce{^{31}P}; 1 for X2X222H\ce{^2H}, X14X2214N\ce{^{14}N}), and a magnetic moment μ=γI^\boldsymbol\mu = \gamma\hat{\mathbf I} proportional to it; γ\gamma is the gyromagnetic ratio. Along a field B0B_0 (axis zz), I^z\hat I_z takes the values mIℏm_I\hbar, mI=−I,…,Im_I = -I, \dots, I.

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