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Developments in Ceramic Materials Research

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Synthesis, Spectroscopic and Magnetic Studies… 121<br />

1.78 μB at 2K for the Mo phase and from 5.58 μB to 2.52 μB for the Fe compound, is<br />

observed. The estimated Debye (θD) temperature for the chromium phase is 436 K which is<br />

higher than those of M(PO3)3 (M= Mo, Fe) phases due to the smaller atomic weight. These<br />

results are <strong>in</strong> good agreement with those obta<strong>in</strong>ed from susceptibility measurements of<br />

Cr(PO3)3 where a weak decrease <strong>in</strong> the χmT vs. T curve was observed (3.83 μB at 300 K and<br />

1.55 μB at 2 K).<br />

Table 3. Summary of specific-heat data of the M(PO3)3 (M III = Cr, Mo and Fe)<br />

metaphosphates<br />

a The experimental data can not be fitted to a logarithmic expression for T < TN.<br />

As can be see <strong>in</strong> Table 3, the fit near the order<strong>in</strong>g temperature (TN= 4.2 K) for Cr(PO3)3<br />

follows the equation Cm= α –βLn|T – TN|, equation [1], given by Kop<strong>in</strong>ga et al [50] (see <strong>in</strong>set<br />

<strong>in</strong> Figure 17) allowed us to obta<strong>in</strong> α= 4.16JK -1 and β= 2.12 JK -1 mol -1 . Consider<strong>in</strong>g the<br />

similar λ-type maximum observed <strong>in</strong> the heat capacity measurements, especially for<br />

Mo(PO3)3, a fit near the order<strong>in</strong>g temperatures follow<strong>in</strong>g the same equation [1], above<br />

<strong>in</strong>dicated, was also carried out. The magnetic specific-heat data for Mo metaphosphate plotted<br />

versus Ln|T – TN| for TN= 4 K show l<strong>in</strong>ear behavior below and above the order<strong>in</strong>g<br />

temperature. The values near the transition po<strong>in</strong>t, TN, satisfy the equation Cm= 4.37 -2.81Ln|T<br />

– TN| and Cm= 5.01 – 1.54Ln|T –TN| for T < TN and T> TN, respectively. These equations are<br />

described by the solid l<strong>in</strong>es given <strong>in</strong> the <strong>in</strong>set of Figure 18(a). In the case of Fe(PO3)3 only the<br />

region above the order<strong>in</strong>g temperature TN= 7.8 K, can be fitted follow<strong>in</strong>g the logarithmic<br />

expression Cm= 4.77 – 1.84 Ln|T – TN| (see <strong>in</strong>set <strong>in</strong> Figure 18(b)). For T < TN, the<br />

experimental data show a shoulder and therefore can no be fitted with a logarithmic<br />

expression. A temperature dependence of the specific-heat below the order<strong>in</strong>g temperature

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