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Developments in Ceramic Materials Research

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136<br />

José M. Rojo, José L. Mesa and Teófilo Rojo<br />

Figure 31. Schematic views of the exchange pathways for M(PO3) 3 (M= Mo and Fe). Exchange through<br />

one (PO 4) group only are represented for clarity. Projection of the sp<strong>in</strong> orientation up (+) and down (-)<br />

<strong>in</strong> a layer for Fe(PO3) 3 is shown. In the case of the Mo phase the orientations are equal <strong>in</strong> each layer<br />

exhibit<strong>in</strong>g ferromagnetic arrangements.<br />

These angles are characteristic of antiferromagnetic coupl<strong>in</strong>gs, be<strong>in</strong>g <strong>in</strong> good agreement<br />

with those observed <strong>in</strong> other phosphates and oxo acids (sulphuric, molydic…) exhibit<strong>in</strong>g<br />

these k<strong>in</strong>ds of magnetic <strong>in</strong>teractions [51,54,57]. These types of <strong>in</strong>teractions are observed <strong>in</strong><br />

other chromium salts such as α-and β-Cr(XO4) (X= P, As) <strong>in</strong> which Cr-O-Cr exchange<br />

pathways are also present <strong>in</strong>creas<strong>in</strong>g the force of the magnetic <strong>in</strong>teractions [59].<br />

F<strong>in</strong>ally, consider<strong>in</strong>g the similar exchange magnetic angles <strong>in</strong> both B and C type Cr(PO3)3<br />

metaphosphates, the differences observed <strong>in</strong> the magnetic behavior of these phases can be<br />

expla<strong>in</strong>ed consider<strong>in</strong>g the different pack<strong>in</strong>g of both (CrO6) octahedra and (PO4) tetrahedra. In<br />

this way, the stronger pack<strong>in</strong>g (ρexp= 3.11 gcm -3 ) of Cr(PO3)3 [(PO4) groups disposed <strong>in</strong><br />

cha<strong>in</strong>s] than that of Cr2(P6O18) <strong>in</strong> which the (PO4) tetrahedra are ordered <strong>in</strong> cycles of six<br />

(ρexp= 2.51 gcm -3 ) could be responsible for the weaker antiferromagnetic <strong>in</strong>teractions<br />

observed <strong>in</strong> the latter compound as described from the magnetic measurements. On the other

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