There are two possible [M(OH)4]- complexes of first-series transition metals that have three unpaired electrons.
(a) What are the oxidation state and the identity of M in these complexes?
(b) Using orbital diagrams, give a valence bond description of the bonding in each complex.
(c) Based on common oxidation states of first-series transition metals (Figure 21.6), which [M(OH)4]- complex is more likely to exist?
<QUESTION REFERENCES FIGURE 21.6>-

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Identify the first-series transition metals that can form [M(OH)_4]^- complexes with three unpaired electrons. Consider the electronic configuration of these metals in their common oxidation states.

Determine the oxidation state of M in the [M(OH)_4]^- complex. Since the hydroxide ion (OH^-) has a charge of -1, and the overall charge of the complex is -1, calculate the oxidation state of M.

For each identified metal, draw the orbital diagram for the valence electrons in the oxidation state determined. Show how the electrons are distributed among the d orbitals, ensuring there are three unpaired electrons.

Use valence bond theory to describe the bonding in each complex. Consider the hybridization of the metal's orbitals and how they overlap with the orbitals of the hydroxide ligands.

Refer to Figure 21.6 to compare the common oxidation states of the identified metals. Determine which metal is more likely to exist in the [M(OH)_4]^- complex based on its stability and prevalence in that oxidation state.

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Oxidation States of Transition Metals

The oxidation state of a transition metal indicates the charge it would have if all ligands were removed, and all bonding electrons were assigned to the more electronegative atom. Transition metals can exhibit multiple oxidation states due to their ability to lose different numbers of d-electrons. Understanding the common oxidation states helps in predicting the identity of the metal in complexes and their stability.

Valence Bond Theory and Orbital Diagrams

Valence Bond Theory explains how atomic orbitals combine to form bonds in molecules. Orbital diagrams visually represent the distribution of electrons in these orbitals, showing how unpaired electrons can participate in bonding. For transition metal complexes, the arrangement of d-orbitals and their interactions with ligands are crucial for understanding the geometry and bonding characteristics of the complex.

Ligand Field Theory

Ligand Field Theory extends the concepts of Valence Bond Theory by considering the effect of ligands on the energy levels of d-orbitals in transition metals. It explains how the presence of ligands can split the d-orbital energies, influencing the number of unpaired electrons and the overall stability of the complex. This theory is essential for predicting the likelihood of certain oxidation states and the formation of specific metal-ligand complexes.