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CHEM 412 Homework 4

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page: 1. Molecular orbital diagrams
Answer the following questions for the following three Ni(II) complexes:
(i)
octahedral [Ni(H2O)6]2+
(ii)
tetrahedral [NiCl4]2(iii)
square-planar [Ni(CN)4]2(A) Draw for each complex qualitatively the relative energies of the five d-orbitals and
indicate the d-electrons with arrows, i.e. ↑ and ↓. Please indicate the type of the d-orbitals
(e.g. dxy etc for the orbitals). (B) Which complex(es) will have a magnetic moment of ∼2.8 μB? Briefly explain your
answer. 2. Molecular orbital diagrams
Why is CO a strong field ligand? Use molecular orbital diagrams to illustrate your answer. 3. Term symbols
Calculate the number of microstates for all dn configurations (i.e. n = 0 – 10). 4. Term symbols
The table below gives the various free ion terms for the various dn configurations. Pick a dn
configuration of your choice (with n between 3 and 7) and calculate the number of
microstates for all free ion terms of that dn configuration. Show that the sum of the
microstates you obtain by this method equals the number you obtained in the previous
question. 5. Term symbols
What are the term symbols for the ground states of complexes with dn configurations (n =
1-9) with (a) octahedral symmetry and (b) tetrahedral symmetry. Assume that all
complexes are in the high-spin configuration.
Splitting of a D-term and an F-term in an octahedral ligand field. Note that the energetic
order can be inverted, depending on the dn electron configuration and/or geometry. 6. Tanabe Sugano diagrams
(a) Please explain the discontinuity indicated by the black vertical line in the Tanabe
Sugano diagram for d5. Consider the spin states of the various terms for your answer.

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