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Paramagnetism trend from Sc to Zn

Short answer

For M²⁺ ions, unpaired d electrons increase from 1 (Sc²⁺) to 5 (Mn²⁺), so paramagnetism rises to a maximum. After Mn, added electrons pair up, reducing unpaired electrons to zero at Zn²⁺ (d¹⁰), which is diamagnetic.

Explain why paramagnetic properties increase from Sc to Mn and then decrease to Zn.

Paramagnetism depends on the number of unpaired d electrons.

  • From Sc to Mn the number of d electrons in the M²⁺ ions increases from 1 to 5. According to Hund's rule, each added electron occupies a separate d orbital with parallel spin, so the number of unpaired electrons increases from 1 to 5, and paramagnetism increases, reaching a maximum at Mn²⁺ (d⁵).
  • After Mn, each new d electron must pair up with one already present, so the number of unpaired electrons decreases from 5 to 0 and paramagnetism falls.
  • At Zn (Zn²⁺, d¹⁰) all electrons are paired, so it is diamagnetic.

Spin-only magnetic moment: μ = √(n(n+2)) BM, where n = number of unpaired electrons.

Ion (d-configuration)Unpaired e⁻ (n)μ (BM)
Sc²⁺/Ti³⁺ (d¹)11.73
Ti²⁺ (d²)22.83
V²⁺ (d³)33.87
Cr²⁺ (d⁴)44.90
Mn²⁺ (d⁵)55.92
Fe²⁺ (d⁶)44.90
Co²⁺ (d⁷)33.87
Ni²⁺ (d⁸)22.83
Cu²⁺ (d⁹)11.73
Zn²⁺ (d¹⁰)00 (diamagnetic)

For Sc, the common ion Sc³⁺ is d⁰ (diamagnetic), but Sc²⁺ (d¹) and the Sc atom have one unpaired electron.

✓ Answer checked by Claude Opus 5.5 (high effort)

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