Possible values of total angular momentum of a 2 electron system

[Sekonda]

Hey,

Also a bit confused on this one, the question is displayed below

The possible total spin values are 1,0,-1 and I know that

$$\mid l-s\mid\leq j\leq l+s\: ,\: -j\leq m_{z}\leq j$$

Where the latter inequality is in integer steps, so I'm not really sure if it is as simple as substituting in the 's' values into the first inequality and then using the maximum 'j' value in the second inequality.

Probably didn't make any sense.

Any help is appreciated!
SK

 

[Sekonda]

Hmm actually is it that the total spin can be either 1 or 0, and the total angular momentum in the z-direction can be 1,0,-1.

So S=1 goes to m=1,0,-1 and S=0 goes to m=0?

Or is that wrong...

Cheers,
SK

 

[cosmic dust]

Hmm actually is it that the total spin can be either 1 or 0, and the total angular momentum in the z-direction can be 1,0,-1.

So S=1 goes to m=1,0,-1 and S=0 goes to m=0?

Or is that wrong...

Cheers,
SK

This is the correct answer. Very good!