2. Find all of the Russell-Saunders terms for the s¹d¹ electron configuration. Predict the energetic ordering of the different states.

L = 0 + 2 = 2, so M_L = 2, 1, 0, -1, -2

S = ½ + ½ = 1 so M_S = 1, 0, -1

Number of microstates = 
 

ML\MS (s, d)	1	0	-1
2	(0+,2+)	(0+,2-) (0-,2+)	(0-,2-)
1	(0+,1+)	(0+,1-) (0-,1+)	(0-,1-)
0	(0+,0+)	(0+,0-) (0-,0+)	(0-,0-)
-1	(0+,-1+)	(0+,-1-) (0-,-1+)	(0-,-1-)
-2	(0+,-2+)	(0+,-2-) (0-,-2+)	(0-,-2-)

M_L = 2, M_S = 1 gives ³D (15 microstates)

M_L = 2, M_S = 0 gives ¹D (5 microstates)

Energy ordering: ³D < ¹D