I'm a bit confused about working out term symbols for electronic spectra of d metal complexes. I know you can work them out using the cross products in group theory tables so:
d(1)=(t2g)1 = t2g
d(2)=(t2g)2=t2gxt2g=[t1g] ground state as it's a triplet.
But then how would you work out d(3)? t1gxt2g=a2+e+t1+t2 so which is the ground state?
Also what do these different term symbols actually represent? Is it different m(L) values?