Question

Compare and contrast the angular momentum and magnetic moment related to orbital motion with those that are intrinsic.

Short answer

The magnetic moment and orbital angular momentum are related by

$P_L-\frac{e}{2m_0}L$

The magnetic moment and intrinsic angular momentum are related by

$P_5=g\frac{q}{2m}S$

Step-by-step solution

Magnetic moment

The orbital and intrinsic angular momentums are the first kind of angular momenta, having the same physical quantity, capable of adding as vectors, and are quantized.

The permitted values of orbital angular momentum depend on the spatial state of rotating electrons, governed by quantum number $\mathrm{I},{\mathrm{m}}_1$. The values of the ${\mathrm{m}}_1$can go from $-1$to $+I.$

Angular momentum.

The permitted values of intrinsic angular momentum depend on the kind of the particle, governed by the quantum numbers $s$, $m_s$. The values of $m_s$can go from $-s$to $+s$.

The magnetic moment and orbital angular momentum are related by.

$P_L-\frac{e}{2m_0}L$

The magnetic moment and intrinsic angular momentum are related by

$P_5=g\frac{q}{2m}S$