Question: the whole question correctly 2. a) b) c) d) e) Ti has atomic number Z = 22 and electronic configuration (Is) (2s i (2p) (3s

the whole question correctly

2. a) b) c) d) e) Ti has atomic number Z = 22 and electronic configuration (Is) (2s i (2p) (3s y (3p) (4s) (3d ) . Suppose we consider Coulomb attraction due to the nucleus only, ignoring all other interaction. Copy the following diagram to your answer book and draw the energy levels 1s, 2s, 2p, 35, 3p, 3d, 4s (as horizontal lines _ls_ etc. ) showing their relative energies. Give a qualitative justification (no mathematical derivation) for your answer. E n=4 n=3 n=2 /=0 l=1 1=2 Repeat a) if in addition to nuclear attraction we also consider screening effect due to inner electrons, and nothing else. Again give a qualitative justification (no mathematical derivation) for your answer. The picture in b) is still not complete. Name two other significant interactions we must include in order to obtain a realistic picture of atomic states. Suppose we include those interactions in c) as perturbations so that they will not change the electronic configuration of Ti given above. Derive all possible angular momentum states of the above electronic configuration of Ti and write them down in spectroscopic notation **"'Z,. You are given that if the orbital angular momentum quantum number L of two electrons is odd (or even), then their orbital wavefunction is odd (or even) under exchange. Use Hund's rules to determine the lowest energy state and write it down in spectroscopic notation. Can you use Hund's rules to find the next lowest energy state? If yes, write it down in spectroscopic notation? If no, explain why not

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