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How does the magnetic moment provide valuable information about the presence of unpaired electrons, and what relationship exists between the magnetic moment and the number of unpaired electrons?

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The magnetic moment increases with the number of unpaired electrons, making it a useful indicator of unpaired electrons in atoms, molecules, or ions. The observed magnetic moment correlates with the number of unpaired electrons.

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  1. The magnetic moment is valuable in indicating the presence of unpaired electrons in a substance. Unpaired electrons give rise to magnetic moments, and the magnetic moment’s magnitude is directly related to the number of unpaired electrons. The relationship is expressed by the formula μ = √(n(n+2)), where μ is the magnetic moment, and n is the number of unpaired electrons. This square root term arises from the spin quantum number (s = 1/2). The magnetic moment provides a quantitative measure of the extent of electron spin alignment, serving as a convenient indicator of the magnetic behavior and electron configuration in a material.

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