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Diamagnetic vs paramagnetic in general chemistry

What is the difference between diamagnetic vs paramagnetic substances in general chemistry, and how does electron configuration or molecular orbital occupancy predict the magnetic response?

Subject: General Chemistry Chapter: Atoms Topic: Atomic Structure Answer included
diamagnetic vs paramagnetic diamagnetism paramagnetism magnetic susceptibility unpaired electrons electron configuration spin pairing molecular orbital theory
Accepted answer Answer included

Diamagnetic vs paramagnetic behavior reflects whether a substance has a net magnetic moment from its electrons. Electron pairing and molecular orbital occupancy control the sign of magnetic susceptibility and the direction of the response in an applied magnetic field.

Magnetic response and electron pairing

Electrons possess intrinsic spin and therefore a magnetic moment. A pair of electrons in the same orbital has opposite spins, so their magnetic moments cancel nearly completely. Unpaired electrons leave a net magnetic moment that can align with an external field.

Diamagnetic substances: all electrons paired; net magnetic moment ≈ 0; weakly repelled by a magnetic field; magnetic susceptibility χ < 0.
Paramagnetic substances: one or more unpaired electrons; net magnetic moment > 0; weakly attracted by a magnetic field; magnetic susceptibility χ > 0.

Visualization of diamagnetic vs paramagnetic response

Diamagnetic vs paramagnetic response in an applied field B Paired spins cancel (χ < 0) • Unpaired spins align partially (χ > 0) Diamagnetic Paramagnetic B (applied) B (applied) induced field opposes B net μ ≈ 0 all electrons paired paired spins partial alignment with B μ > 0 unpaired electrons weak attraction
The applied field B is shown in blue. Diamagnetic samples develop an induced magnetic response opposite to B (weak repulsion). Paramagnetic samples contain unpaired electrons with moments that align partially with B (weak attraction).

Magnetic susceptibility and temperature behavior

Magnetic susceptibility χ measures the degree of magnetization in an applied field. Diamagnetism corresponds to negative susceptibility, while paramagnetism corresponds to positive susceptibility. The paramagnetic response typically increases as temperature decreases, because thermal motion disrupts alignment.

The qualitative temperature trend is often summarized by Curie-type behavior for many paramagnets:

\[ \chi \propto \frac{1}{T} \]

Diamagnetic susceptibility is comparatively small and weakly temperature dependent, because it arises from induced electronic motion rather than alignment of permanent moments.

Electron-count criteria in atoms and ions

Electron configurations predict the presence or absence of unpaired electrons. Closed-shell configurations (noble-gas-like) are diamagnetic. Partially filled subshells frequently produce paramagnetism because Hund’s rule favors unpaired electrons in degenerate orbitals.

Property Diamagnetic Paramagnetic
Unpaired electrons 0 ≥ 1
Susceptibility χ Negative (χ < 0) Positive (χ > 0)
Field response Weak repulsion Weak attraction
Temperature dependence Small Often decreases with increasing T
Microscopic origin Induced electronic currents opposing B Partial alignment of permanent magnetic moments

Molecular orbital perspective and the O₂ exception

Molecular magnetism depends on the occupancy of molecular orbitals, not on counting electrons in isolated atoms. The classic general-chemistry example is O2, which is paramagnetic because its highest-occupied orbitals include two unpaired electrons in π* antibonding orbitals.

In contrast, many isoelectronic diatomic molecules such as N2 and CO have all electrons paired in their molecular orbitals and are diamagnetic.

Representative examples

Species Magnetic behavior Electron-structure reason
Ne Diamagnetic Closed shell; all electrons paired
Zn(s), Zn2+ Diamagnetic Filled 3d subshell (3d10); no unpaired electrons
O2(g) Paramagnetic Two unpaired electrons in π* molecular orbitals
NO(g) Paramagnetic Odd-electron molecule; one unpaired electron
Fe3+(aq) Paramagnetic 3d5 often contains multiple unpaired electrons
Cu+(aq) vs Cu2+(aq) Cu+: diamagnetic; Cu2+: paramagnetic 3d10 (paired) vs 3d9 (one unpaired)

Magnetic moment and unpaired-electron count

For many coordination compounds and ions where orbital contributions are modest, a useful estimate for the magnetic moment uses the number of unpaired electrons \(n\) (spin-only approximation). The value is commonly reported in Bohr magnetons (BM).

\[ \mu_{\text{so}} \approx \sqrt{n(n+2)}\ \text{BM} \]

The estimate supports the main qualitative distinction: \(n = 0\) corresponds to diamagnetism, while \(n \ge 1\) corresponds to paramagnetism. Deviations occur when orbital angular momentum contributes significantly.

Common pitfalls and nearby terms

  • Ferromagnetism: strong bulk attraction from domain alignment; distinct from ordinary paramagnetism even though unpaired electrons are still present at the atomic level.
  • Closed-shell ions: cations and anions can be diamagnetic even when the neutral atom is not, because electron loss or gain changes subshell occupancy.
  • Molecular electron counting: atomic electron configurations do not replace molecular orbital occupancy for diatomic molecules and many radicals.

Summary

Diamagnetic vs paramagnetic behavior is determined by electron pairing. Diamagnetic substances contain only paired electrons and show χ < 0 with weak repulsion, while paramagnetic substances contain unpaired electrons and show χ > 0 with weak attraction; electron configuration and molecular orbital occupancy provide the structural basis for the prediction.

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