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Magnetic moment

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Inorganic Chemistry I

Definition

The magnetic moment is a vector quantity that represents the magnetic strength and orientation of a magnet or current loop. It is important for understanding how coordination compounds interact with external magnetic fields, influencing their magnetic properties such as diamagnetism and paramagnetism.

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5 Must Know Facts For Your Next Test

  1. The magnetic moment is calculated as the product of the current flowing through a loop and the area of the loop, represented mathematically as \\text{magnetic moment} = I imes A.
  2. In transition metal complexes, unpaired electrons contribute significantly to the overall magnetic moment, making them often paramagnetic.
  3. The presence of ligands can affect the distribution of electron density in coordination compounds, thereby influencing their magnetic properties.
  4. Magnetic moments can be expressed in units called Bohr magnetons (\\text{BM}), where 1 BM is approximately equal to 9.27 x 10^{-24} A mยฒ.
  5. The total magnetic moment of a coordination compound can be determined using the formula: \\text{total magnetic moment} = \\sqrt{n(n + 2)} \\text{BM}, where n is the number of unpaired electrons.

Review Questions

  • How does the presence of unpaired electrons in transition metal complexes affect their magnetic moment?
    • The presence of unpaired electrons in transition metal complexes significantly enhances their magnetic moment. This is because unpaired electrons contribute to a net magnetic dipole, making these complexes exhibit paramagnetism. The more unpaired electrons present, the higher the magnetic moment, which can be quantitatively assessed using the formula for total magnetic moment.
  • Compare and contrast paramagnetic and diamagnetic substances in terms of their magnetic moments and interactions with external magnetic fields.
    • Paramagnetic substances have unpaired electrons that contribute to a net magnetic moment, leading to a weak attraction when exposed to an external magnetic field. In contrast, diamagnetic substances have all electrons paired, resulting in no net magnetic moment and a weak repulsion from an external magnetic field. This fundamental difference influences how each type interacts with external fields and determines their respective behaviors in coordination compounds.
  • Evaluate how ligand field theory can explain variations in the magnetic moment of coordination compounds with different ligands.
    • Ligand field theory provides insight into how different ligands influence the electronic structure and distribution of d-orbitals in transition metal complexes. Strong field ligands tend to cause greater splitting of d-orbitals, potentially leading to pairing of electrons and reduced unpaired electron count, thus decreasing the overall magnetic moment. Conversely, weak field ligands may result in higher numbers of unpaired electrons and increased magnetic moments. Analyzing these effects allows for better predictions of a complex's behavior under a magnetic field.
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