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Physics · Ch 5 — Magnetism and Matter

Diamagnetic, Paramagnetic and Ferromagnetic Substances

5.14

Diamagnetic, Paramagnetic and Ferromagnetic Substances

Every material responds, at least a little, to an external magnetic field, and the response falls into one of three sharply distinct classes, characterised by the sign and rough size of the material's susceptibility χ\chi (Section 1.9) and by what is physically happening at the atomic level (Table 1 summarises all three side by side).

Diamagnetic substances. In a diamagnetic material, the constituent atoms have NO net magnetic dipole moment of their own in the absence of a field (their electrons' individual orbital moments cancel in pairs). When an external field IS applied, it INDUCES a small magnetic moment in each atom that opposes the applied field (a direct consequence of Lenz's law acting at the atomic scale on the orbiting electrons) -- so diamagnetic substances are WEAKLY REPELLED by a magnet and tend to move from a stronger to a weaker part of a non-uniform field. Their susceptibility χ\chi is small and NEGATIVE, essentially independent of temperature, and μr\mu_r is very slightly LESS than 1. Common examples: bismuth, copper, water, gold, antimony. Every material has some diamagnetic contribution, but it is completely masked whenever paramagnetic or ferromagnetic behaviour is also present.

Paramagnetic substances. Here the individual atoms DO possess a small permanent magnetic dipole moment (from unpaired electrons), but in the absence of a field these atomic moments point in completely random directions due to thermal agitation, so their net effect averages to zero. An external field partially aligns these already-existing moments (Section 1.10), so paramagnetic substances are WEAKLY ATTRACTED toward a magnet and move toward the stronger part of a non-uniform field. Their susceptibility χ\chi is small and POSITIVE, and μr\mu_r is very slightly GREATER than 1; because thermal agitation actively fights the alignment, χ\chi FALLS as temperature rises (Curie's law, χ∝1/T\chi \propto 1/T). Common examples: aluminium, platinum, chromium, and oxygen (in its liquid or gaseous state). …

Table 1Comparison of diamagnetic, paramagnetic and ferromagnetic substances
PropertyDiamagneticParamagneticFerromagnetic
Atomic originNo net atomic dipole moment; field INDUCES a small opposing momentAtoms have a small permanent dipole moment, randomly oriented by thermal motionAtoms have a permanent dipole moment; neighbouring dipoles align spontaneously within domains
Susceptibility χ\chiSmall and NEGATIVE (χ≈−10−5\chi \approx -10^{-5})Small and POSITIVE (χ≈10−3\chi \approx 10^{-3} to 10−510^{-5})Large and POSITIVE (χ∼102\chi \sim 10^2 to 10610^6), and field-dependent
Relative permeability μr\mu_rSlightly less than 1Slightly greater than 1Very much greater than 1
Behaviour in a non-uniform fieldMoves toward the WEAKER field region (weakly repelled)Moves toward the STRONGER field region (weakly attracted)Strongly drawn toward the stronger field region