Question

For Ti⁺² (Z=22). Determine the correct ground state & # of microstates. Use the correct tanabe sugano diagram and write the allowed transitions, if any.

Answer 1

Determination of GS and microstates :

The electronic configuration of Ti^{​​​​​2+} is [Ar] 3d²

The GS of titanium 2+ is ³F

The other microstates will be ¹D, ³P, ¹S , ¹G .

The Tanabe - Sugano diagram of Ti^​​​2+ :

Tanabe -Sugano diagrams are similar to Orgel diagrams in that they show how the energy levels change with D_{​​​​​​q} ​​​​, but they differ in several ways :

1. The ground state is always taken as the abscissa and provides a constant reference point. The other energy states are plotted relative to this.

2. Low-spin terms, i.e., states where the spin multiplicity is lower than the ground state.

3. In order to make the diagrams general for different metal ions with the same electromagnetic configuration, and to allow for different ligands, both of which affect D_{​​​​​​q} and B, the axes are plotted in units of energy/B and D_{​​​​​​q} /B.