Diamagnetism

• Stems from orbital angular momentum of an electron
  • F electrons in particular

$$\vec{l}=\vec{r}\times \vec{p}$$

Electron current is

$$I=-\frac{e}{T}$$

Where T is equivalent to the time it takes an electron to orbit

$$T=\frac{v}{2\pi r}$$

Magnetic moment is also the current multiplied by the area

$$|{\vec{\mu }}_e|=I\pi r^2=\frac{e}{2m_e}|\vec{l}|$$ $$|{\vec{\mu }}_e|=\sqrt{l(l+1)}{\mu }_b$$

Diamagnetism is weaker then para-magnetism and ferromagnetism