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Ch.23 - Transition Metals and Coordination Chemistry
Chapter 23, Problem 91c

The coordination complex [Cr(CO)6] forms colorless, diamagnetic crystals that melt at 90 °C
c. Given that [Cr(CO)6] is colorless, would you expect CO to be a weak-field or strong-field ligand?

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1. The color of a coordination complex is determined by the energy difference between the d-orbitals. When light is absorbed, an electron is excited from a lower energy d-orbital to a higher energy d-orbital. The color we see is the complementary color of the light absorbed.
2. If the complex is colorless, it means that the energy difference between the d-orbitals is too large to be overcome by the energy of visible light. Therefore, no light is absorbed and no color is observed.
3. Ligands can be classified as weak-field or strong-field based on their ability to split the d-orbitals. Weak-field ligands cause a small split in the d-orbitals, while strong-field ligands cause a large split.
4. Since [Cr(CO)<sub>6</sub>] is colorless, it suggests that the energy difference between the d-orbitals is large. Therefore, CO is likely a strong-field ligand because it causes a large split in the d-orbitals.
5. Additionally, the complex is diamagnetic, which means all of its electrons are paired. This is another characteristic of complexes with strong-field ligands, as they tend to cause pairing of electrons in the d-orbitals.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Ligand Field Theory

Ligand Field Theory explains how ligands affect the energy levels of d-orbitals in transition metal complexes. Strong-field ligands cause a larger splitting of the d-orbitals, leading to lower energy configurations and often resulting in low-spin complexes. Conversely, weak-field ligands cause smaller splitting, leading to high-spin configurations. Understanding this theory is crucial for predicting the magnetic and color properties of coordination complexes.
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Color and Electronic Transitions

The color of a coordination complex is determined by the wavelengths of light absorbed during electronic transitions between d-orbitals. A colorless complex indicates that it does not absorb visible light, which can suggest that the d-orbital splitting is either very small or that the electronic transitions do not fall within the visible spectrum. This concept is essential for understanding the relationship between ligand strength and the resulting color of the complex.
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Diamagnetism

Diamagnetism is a property of materials that are not attracted to a magnetic field and occurs when all electrons are paired. In coordination complexes, the presence of paired electrons in the d-orbitals, often due to strong-field ligands, results in diamagnetism. Recognizing the relationship between ligand strength, electron pairing, and magnetic properties helps in predicting the behavior of complexes like [Cr(CO)6].
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