The explanation of anomalous Zeeman effect is explained by taking the spin the electron.

## Anomalous Zeeman Effect

In the vector model of the atom, the angular momentum **L **and spin angular momentum vector precess around the total angular momentum **J**.

When the atom is placed in weak magnetic field

**B**along**z**, the magnetic moment of atom associated with**j**( μj**)**and**j**precess slowly around the magnetic field following quantum condition, i.e.where mj takes ( 2j + 1) values from -j to +j. Thus due to the precession of

Let us consider a system of the single valence electron, we have :

**J**around**B****,**the energy level is splitted into 2J + 1 levels called Zeeman levels.Let us consider a system of the single valence electron, we have :

then, the magnetic field of an atom is given by :

Using Cosine law :

The importance of g factor is that it gives directly the relative separations of Zeeman levels.

The expression for g-factor for multi electron under L – S coupling is same as above. The expression for total magnetic moment of atom now becomes :

Let us now, calculate magnetic interaction energy. From the last expression we’ve :

Thus, g determines the ratio of the total magnetic moment to the total angular momentum in states where the angular momentum is partly orbital and partly spin. (For S = 0 and so on

J=L,g=1;for L = 0 and so J = S , g = 2).

By Larmor’s theorem, the angular velocity of the precession of

**J**around the field**B**is :Thus, Anamolous Zeeman effect is explained with the help of the above expression.

See Also:

Thanks for sharing the post i haven't read it yet but i will read it tomorrow and if i will get any confusion then will ask you on comment section But by the way Salute Full on study it's hard time for me and you are helping me never gone to be forget this thing until my death.