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Ferrimagnetism

physical science Maturity 7-9 Next article →

Ferrimagnetism is a specific type of magnetic ordering found in certain materials.

Ferrimagnetic ordering
Ferrimagnetic ordering

In these substances, atoms possess magnetic moments that point in opposing directions. This arrangement is similar to antiferromagnetism, where opposing moments cancel each other out perfectly. However, in ferrimagnets, these opposing moments are unequal in magnitude. Because one set of moments is stronger than the other, a spontaneous magnetization remains. This leftover magnetism allows ferrimagnetic materials to be attracted to magnets and to function as permanent magnets.

Ceramic magnets
Ceramic magnets

The physical origin of this behavior lies in the interaction between atoms. Magnetization is caused by a combination of dipole-dipole interactions and exchange interactions. These exchange interactions result from the Pauli exclusion principle. A key distinction in ferrimagnetic materials is that the unit cell contains different types of atoms or ions. For example, a material might contain both Fe2+ and Fe3+ ions. These different ions create magnetic moments of different strengths. When these unequal moments align in opposite directions, the net magnetic moment of the material is non-zero.

Temperature has a profound effect on how these materials behave. Every ferrimagnet has a critical temperature known as the Curie temperature. At this point, the material undergoes a second-order phase transition. Above the Curie temperature, the material becomes paramagnetic, meaning it loses its spontaneous magnetization. This happens because thermal motion becomes strong enough to overcome the tendency of the magnetic dipoles to stay aligned.

Interestingly, ferrimagnets can behave differently than ferromagnets when heated. In some cases, the direction of magnetization can actually reverse as the material is heated from absolute zero toward its critical temperature. Some materials even show an increase in magnetization strength as they get warmer.

There are specific points where the magnetism of a ferrimagnet changes significantly. One such point is the magnetization compensation point. This occurs at a temperature below the Curie temperature where the opposing magnetic moments become exactly equal. At this specific point, the net magnetic moment of the material drops to zero. This phenomenon is commonly observed in garnets and rare-earth–transition-metal alloys. Some ferrimagnets also possess an angular momentum compensation point. At this point, the net angular momentum vanishes, which is a crucial property for creating fast magnetization reversal in magnetic-memory devices.

Historically, the understanding of these materials evolved through significant scientific discovery. Before the twentieth century, all naturally occurring magnetic substances were classified simply as ferromagnets. In 1936, the physicist Louis Néel published a paper proposing antiferromagnetism. While studying the material Mn2Sb, French physicist Charles Guillaud found that existing theories could not explain its behavior. Guillaud developed a model to explain these findings. In 1948, Néel used Guillaud's model to propose the existence of ferrimagnetism. For his groundbreaking work in the field of magnetism, Néel was awarded the Nobel Prize in Physics in 1970.

Ferrimagnetic materials are highly useful in modern technology due to their unique properties. They often exhibit high resistivity and anisotropic properties. Anisotropy means the material's properties change depending on the direction of an applied field. When an external field aligns with the magnetic dipoles, the dipoles precess at a frequency called the Larmor or precession frequency. This allows for the creation of microwave devices like isolators, circulators, and gyrators.

StonerWohlfarthMainLoop
StonerWohlfarthMainLoop

These materials are also used in hard-drive platters and various biomedical applications. Additionally, they can be used for thermal energy storage.

Many different substances exhibit ferrimagnetism. The oldest known magnetic substance is the natural mineral magnetite (Fe3O4). Other examples include yttrium iron garnet, also known as YIG. There are also cubic ferrites, which are ceramic compounds made of iron oxides mixed with elements like aluminum, cobalt, nickel, manganese, or zinc. Hexagonal or spinel-type ferrites, such as rhenium ferrite (ReFe2O4), are another group. Even single-molecule magnets can show ferrimagnetism, such as certain manganese molecules. Finally, scientists use ferrimagnetic minerals in rocks to study paleomagnetism, which is the study of ancient magnetic properties of Earth and other planets.

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Ferrimagnetism - magnetic moment as a...
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