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Physics · Ch 11 — Magnetic Materials

Effect of Temperature

11.5.4

Effect of Temperature

Ferromagnetism is fundamentally a temperature-dependent phenomenon, because it rests entirely on the exchange coupling between neighbouring atomic moments described in section 11.5.3, and that coupling itself weakens as temperature rises. As a ferromagnetic material is heated, this weakening exchange coupling progressively distorts the domain structure -- domains that were sharply aligned along a single axis become less perfectly ordered -- until, at a material-specific temperature, the domain structure collapses ENTIRELY, and the material's magnetic behaviour turns paramagnetic. This transition temperature is called the Curie temperature, TCT_C, of the material.

Above the Curie temperature (T>TCT>T_C), the material's susceptibility follows the Curie-Weiss law, χ=CT−TC\chi=\dfrac{C}{T-T_C}, a direct extension of the ordinary paramagnetic Curie's law (χ∝1/T\chi\propto1/T) with the temperature T replaced by T−TCT-T_C, so that χ\chi formally diverges as T approaches TCT_C from above (Fig. 11.10) and falls off with further heating beyond that, exactly as an ordinary paramagnetic material's susceptibility does with temperature. …

Figure 11.10Fig. 11.10: Curie Temperature $T_C$ of a ferromagnetic material
Fig. 11.10 — Fig. 11.10: Curie Temperature $T_C$ of a ferromagnetic material

Drawn by us to help you understand the concept clearly, and verified to make sure it's accurate. For exams, practice from your textbook's own diagram.

What this figure shows. A graph plots the susceptibility χ\chi (or its inverse) of a ferromagnetic material against absolute temperature T. For T<TCT<T_C the material behaves ferromagnetically (the domain structure is intact); at T=TCT=T_C, marked on the temperature axis, a sharp change/divergence in the curve's behaviour is shown; for T>TCT>T_C the curve follows the Curie-Weiss law χ=C/(T−TC)\chi=C/(T-T_C), decreasing as T increases further beyond TCT_C, visually showing the transition from ferromagnetic to ordinary paramagnetic behaviour occurring precisely a …

Table T1Table 11.1 (printed a second time in the book; effectively the chapter's third table): Curie temperature of some materials

Material | TCT_C (K)

Metallic cobalt | 1394

Metallic iron | 1043

Fe2_2O3_3 | 893

Metallic nickel | 631

Metallic gadolinium | 317

These values, all well above room temperature except gadolinium's (317 K, just above 300 K), show why iron, cobalt and nickel remain solidly ferromagnetic under everyday conditions, while gadolinium's Curie point lying so close to room temperature makes its magnetic behaviour notic …