Draw a crystal field energy-level diagram, and predict the number of unpaired electrons for each of the following: (c) [FeO4]2-; (b) [Ru(NH3)6]2+ (low spin).

Name: Chemistry
Author: McMurry
ISBN: 9781292336145

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Step 1: Identify the oxidation state of the metal in each complex. For [FeO4]2-, determine the oxidation state of Fe, and for [Ru(NH3)6]2+, determine the oxidation state of Ru.

Step 2: Determine the electron configuration of the metal ion in its oxidation state. For example, Fe in [FeO4]2- and Ru in [Ru(NH3)6]2+.

Step 3: For [FeO4]2-, consider the tetrahedral crystal field splitting. In tetrahedral fields, the d-orbitals split into two sets: e (lower energy) and t2 (higher energy). Arrange the electrons according to this splitting.

Step 4: For [Ru(NH3)6]2+, consider the octahedral crystal field splitting. In low-spin complexes, the d-orbitals split into two sets: t2g (lower energy) and eg (higher energy). Arrange the electrons according to this splitting, keeping in mind the low-spin nature.

Step 5: Count the number of unpaired electrons in each complex based on the electron arrangement in the crystal field diagrams. This will help predict the magnetic properties of the complexes.

주요 개념

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Crystal Field Theory

Crystal Field Theory (CFT) explains how the arrangement of ligands around a central metal ion affects its d-orbital energies. In an octahedral field, for example, the d-orbitals split into two energy levels: the lower-energy t2g and the higher-energy eg. This splitting influences the electronic configuration of the metal ion, determining its magnetic properties and the number of unpaired electrons.

Ligand Field Strength

Ligand field strength refers to the ability of a ligand to influence the energy levels of the d-orbitals in a transition metal complex. Strong field ligands, like NH3, cause a larger splitting of the d-orbitals, often leading to low-spin configurations with fewer unpaired electrons. Conversely, weak field ligands result in smaller splitting and can lead to high-spin configurations with more unpaired electrons.

Electron Configuration and Spin States

The electron configuration of a transition metal complex determines the distribution of electrons among the available d-orbitals. The spin state (high-spin or low-spin) is influenced by the ligand field strength and affects the number of unpaired electrons. High-spin complexes have more unpaired electrons due to less energy separation between the orbitals, while low-spin complexes have fewer unpaired electrons due to greater energy separation.