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Hexagonal ferrite

Hexagonal ferrites or hexaferrites are a family of ferrites with hexagonal crystal structure. The most common member is BaFe<sub>12</sub>O<sub>19</sub>, also called barium ferrite, BaM, etc. BaM is a strong room-temperature ferrimagnetic material with high anisotropy along the c axis.

All the hexaferrite members are constructed by stacking a few building blocks in a certain order.

Basic building blocks

S block

The S block is very common in hexaferrites, which has a chemical formula of Me<sup>S</sup><sub>6</sub>O<sub>8</sub><sup>2+</sup>. Me<sup>S</sup> are smaller metal cations, for example, Fe and other transition metals or noble metals. The S block is essentially a slab cut along the plane of an AB<sub>2</sub>O<sub>4</sub> spinel. Each S block has one A layer and one B layer. The A layer features Me<sup>S</sup>-centered tetrahedron and Me<sup>S</sup>-centered octahedron, while the B layer is made up of edge-sharing Me<sup>S</sup>-centered octahedron. Both A and B layers have the same chemical formula of Me<sup>S</sup><sub>3</sub>O<sub>4</sub><sup>2+</sup>.

R block

The R block has a chemical formula of Me<sup>L</sup>Me<sup>S</sup><sub>6</sub>O<sub>11</sub><sup>2-</sup>. Me<sup>L</sup> are larger metal cations, for example, alkaline earth metals (Ba, Sr,) rare earth metals, Pb, etc. The point group symmetry of the R block is . The large metal cations are located in the middle layer of the three hexagonally packed layers. This block is also composed of face-sharing Me<sup>S</sup>-centered octahedra and Me<sup>S</sup>-centered trigonal bipyramids.

T block

The T block has a chemical formula of Me<sup>L</sup><sub>2</sub>Me<sup>S</sup><sub>8</sub>O<sub>14</sub><sup>2-</sup>. The point group symmetry of the T block is . One T block consists of 4 oxygen layers with the two Me<sup>L</sup> atoms substituting two oxygen atoms in the middle two layers. In one T block, there are both Me<sup>S</sup>-centered octahedra and Me<sup>S</sup>-centered tetrahedra.

Family members

M-type ferrite

M-type ferrite is made up of alternating S and R blocks in the sequence of SRS*R*. (* denotes rotating that layer around the c axis by 180°.) The chemical formula of M-type ferrite is Me<sup>L</sup>Me<sup>S</sup><sub>12</sub>O<sub>19</sub>. Common examples are BaFe<sub>12</sub>O<sub>19</sub>, SrFe<sub>12</sub>O<sub>19</sub>. It exhibits space group symmetry. For BaFe<sub>12</sub>O<sub>19</sub>, a = 5.89 Å and c = 23.18 Å. M-ferrite is a very robust ferrimagnetic material, thus widely used as fridge magnets, card strips, magnets in speakers, magnetic material in linear tape-open.

W-type ferrite

W-type ferrite, like the M-type, consists of S and R blocks, but the stacking order and the number of blocks are different. The stacking sequence in a W-ferrite is SSRS*S*R* and its chemical formula is Me<sup>L</sup>Me<sup>S</sup><sub>18</sub>O<sub>27</sub>. It exhibits space group symmetry. One example of W-type ferrite is BaFe<sub>18</sub>O<sub>27</sub>, with a = 5.88 Å and c = 32.85 Å.

R-type ferrite

R-type ferrite has a chemical formula of Me<sup>L</sup>Me<sup>S</sup><sub>6</sub>O<sub>11</sub> with a space group of . Unlike other hexaferrites, R-type ferrite doesn't have an S block. Instead, it only has single B layers extracted from the S block. The stacking sequence is BRB*R*.

Y-type ferrite

Y-type ferrite has a chemical formula of Me<sup>L</sup><sub>2</sub>Me<sup>S</sup><sub>14</sub>O<sub>22</sub> with a space group of . One example is Ba<sub>2</sub>Co<sub>2</sub>Fe<sub>12</sub>O<sub>22</sub> with a = 5.86 Å and c = 43.5 Å. Y-type ferrite is built up with S and T blocks with an order of 3(ST) in one unit cell. There is no horizontal mirror plane in a Y-type ferrite.

Z-type ferrite

Z-type ferrite has a chemical formula of Me<sup>L</sup><sub>3</sub>Me<sup>S</sup><sub>26</sub>O<sub>41</sub> with a space group of . It has a complicated stacking of SRSTS*R*S*T* in one unit cell. Some Z-type members may have sophisticated magnetic properties along different directions. One example is Ba<sub>3</sub>Co<sub>2</sub>Fe<sub>24</sub>O<sub>41</sub> with a = 5.88 Å and c = 52.3 Å.

X-type ferrite

X-type ferrite has a chemical formula of Me<sup>L</sup><sub>2</sub>Me<sup>S</sup><sub>30</sub>O<sub>46</sub> with a space group of . The stacking order is 3(SRS*S*R*) in one unit cell. One example is Sr<sub>2</sub>Co<sub>2</sub>Fe<sub>28</sub>O<sub>46</sub> with c = 83.74 Å.

References