How can I construct singlet, triplet, and more with S=1 ions?

[eastblue]

I've learned how to construct singlet and triplet with two S=1/2 particles, i.e., electrons. How can I generalize it to system with two S=1 ions? Furthermore, I wonder what is the general principle to make a quantum entity with n-particle S=m systems. Thank you in advance.

 

[Orodruin]

This is a quite broad topic and it is a bit vague on which level you want the response. I suggest looking up Clebsch-Gordan coefficients on Wikipedia or similar and ask if you have particular questions.