The emission spectrum of an Sm(III) complex contains sharp maxima in the range 525–725 nm. The emitting state is ⁴G_5/2, and transitions are to the ⁶H_J states for J = 11/2. 9/2, 7/2 and 5/2.

(a) Determine the ground state term for Sm³⁺, showing clearly how to determine values of S, L and J. 

(b) Use the information in the question and your answer to (a) to draw an energy level diagram showing the emission transitions. Which transition is at the
shortest wavelength? 

(c) What other ⁴G_5/2 → ⁶H_J transitions are possible? Suggest a reason why emission maxima arising from these transitions are not observed in the 525–725 nm region.