CHM 501

8. Find all of the Russell-Saunders and J terms for the f1 electron configuration. Predict the energetic ordering of the different states.

Answer

ML\MS

–½

3

(3+)

(3)

2

(2+)

(2)

1

(1+)

(1)

0

(0+)

(0)

–1

(–1+)

(–1)

–2

(–2+)

(–2)

–3

(–3+)

(–3)

Terms:

ML = 3, MS = ½ gives 2F accounting for all 14 microstates.

J = 3 + ½ = 7/2 and J = 3 – ½ = 5/2

The configuration is less than half-filled so the smaller J value is lower energy: 2F5/2 < 2F7/2