<p>Thermophysical properties of the ternary oxides NbAlO<sub>4</sub> and TaAlO<sub>4</sub> are experimentally determined. For NbAlO<sub>4</sub>, the molar heat capacity is 98.9&#xa0;J (mol<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq1.gif" Format="GIF" Height="9" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cdot\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>·</mo> </math></EquationSource> </InlineEquation>K)<sup>−1</sup> at 0&#xa0;<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq2.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C up to 155.6&#xa0;J (mol<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq3.gif" Format="GIF" Height="9" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cdot\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>·</mo> </math></EquationSource> </InlineEquation>K)<sup>−1</sup> at 950&#xa0;<InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq4.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C and for TaAlO<sub>4</sub> 97.1&#xa0;J (mol<InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq5.gif" Format="GIF" Height="9" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cdot\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>·</mo> </math></EquationSource> </InlineEquation>K)<sup>−1</sup> at 0&#xa0;<InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq6.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C up to 154.2&#xa0;J (mol<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq7.gif" Format="GIF" Height="9" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cdot\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>·</mo> </math></EquationSource> </InlineEquation>K)<sup>−1</sup> at 950&#xa0;<InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq8.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C, respectively. Maier-Kelley polynomials are provided for the molar heat capacities. Thermal diffusivities in the range from 20&#xa0;<InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq9.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C to 700&#xa0;<InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq10.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C (<InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq11.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="55" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha _{NbAlO_{4}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>α</mi> <mrow> <mi>N</mi> <mi>b</mi> <mi>A</mi> <mi>l</mi> <msub> <mi>O</mi> <mn>4</mn> </msub> </mrow> </msub> </math></EquationSource> </InlineEquation>: from 0.009 to 0.004&#xa0;cm<sup>2</sup>·s<sup>−1</sup> and <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq13.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\(\alpha _{TaAlO_{4}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>α</mi> <mrow> <mi>T</mi> <mi>a</mi> <mi>A</mi> <mi>l</mi> <msub> <mi>O</mi> <mn>4</mn> </msub> </mrow> </msub> </math></EquationSource> </InlineEquation>: from 0.017 to 0.005&#xa0;cm<sup>2</sup>·s<sup>−1</sup>), bulk densities at 25&#xa0;<InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq15.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C (<InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq16.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(\rho _{NbAlO_{4}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ρ</mi> <mrow> <mi>N</mi> <mi>b</mi> <mi>A</mi> <mi>l</mi> <msub> <mi>O</mi> <mn>4</mn> </msub> </mrow> </msub> </math></EquationSource> </InlineEquation>= 3.94&#xa0;g<InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq17.gif" Format="GIF" Height="9" Rendition="HTML" Resolution="72" Type="Linedraw" Width="8" /> </InlineMediaObject> <EquationSource Format="TEX">\(\cdot\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>·</mo> </math></EquationSource> </InlineEquation>cm<sup>−3</sup> and <InlineEquation ID="IEq18"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq18.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(\rho _{TaAlO_{4}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>ρ</mi> <mrow> <mi>T</mi> <mi>a</mi> <mi>A</mi> <mi>l</mi> <msub> <mi>O</mi> <mn>4</mn> </msub> </mrow> </msub> </math></EquationSource> </InlineEquation>= 6.07&#xa0;g·cm<sup>−3</sup>) and melting points of the oxides are measured, and the thermal conductivities are calculated from these properties. The thermal conductivity from 20&#xa0;<InlineEquation ID="IEq20"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq20.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C to 700&#xa0;<InlineEquation ID="IEq21"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq21.gif" Format="GIF" Height="7" Rendition="HTML" Resolution="72" Type="Linedraw" Width="9" /> </InlineMediaObject> <EquationSource Format="TEX">\(^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> </math></EquationSource> </InlineEquation>C of NbAlO<sub>4</sub> <InlineEquation ID="IEq22"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq22.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _{ NbAlO_{4}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>λ</mi> <mrow> <mi>N</mi> <mi>b</mi> <mi>A</mi> <mi>l</mi> <msub> <mi>O</mi> <mn>4</mn> </msub> </mrow> </msub> </math></EquationSource> </InlineEquation> is in the range from 0.020 to 0.013&#xa0;W·cm<sup>−1</sup>·K<sup>−1</sup> and of TaAlO<sub>4</sub> <InlineEquation ID="IEq25"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10765_2025_3512_Article_IEq25.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(\lambda _{TaAlO_{4}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>λ</mi> <mrow> <mi>T</mi> <mi>a</mi> <mi>A</mi> <mi>l</mi> <msub> <mi>O</mi> <mn>4</mn> </msub> </mrow> </msub> </math></EquationSource> </InlineEquation> in the range from 0.039 to 0.015&#xa0;W·cm<sup>−1</sup>·K<sup>−1</sup>, respectively. A porosity correction for thermal conductivities is applied, and with that, data for perfectly dense material are provided.</p>

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Thermophysical Properties of NbAlO4 and TaAlO4

  • Julian Gebauer,
  • Magnus Rohde,
  • Peter Franke,
  • Hans Jürgen Seifert

摘要

Thermophysical properties of the ternary oxides NbAlO4 and TaAlO4 are experimentally determined. For NbAlO4, the molar heat capacity is 98.9 J (mol \(\cdot\) · K)−1 at 0  \(^{\circ }\) C up to 155.6 J (mol \(\cdot\) · K)−1 at 950  \(^{\circ }\) C and for TaAlO4 97.1 J (mol \(\cdot\) · K)−1 at 0  \(^{\circ }\) C up to 154.2 J (mol \(\cdot\) · K)−1 at 950  \(^{\circ }\) C, respectively. Maier-Kelley polynomials are provided for the molar heat capacities. Thermal diffusivities in the range from 20  \(^{\circ }\) C to 700  \(^{\circ }\) C ( \(\alpha _{NbAlO_{4}}\) α N b A l O 4 : from 0.009 to 0.004 cm2·s−1 and \(\alpha _{TaAlO_{4}}\) α T a A l O 4 : from 0.017 to 0.005 cm2·s−1), bulk densities at 25  \(^{\circ }\) C ( \(\rho _{NbAlO_{4}}\) ρ N b A l O 4 = 3.94 g \(\cdot\) · cm−3 and \(\rho _{TaAlO_{4}}\) ρ T a A l O 4 = 6.07 g·cm−3) and melting points of the oxides are measured, and the thermal conductivities are calculated from these properties. The thermal conductivity from 20  \(^{\circ }\) C to 700  \(^{\circ }\) C of NbAlO4 \(\lambda _{ NbAlO_{4}}\) λ N b A l O 4 is in the range from 0.020 to 0.013 W·cm−1·K−1 and of TaAlO4 \(\lambda _{TaAlO_{4}}\) λ T a A l O 4 in the range from 0.039 to 0.015 W·cm−1·K−1, respectively. A porosity correction for thermal conductivities is applied, and with that, data for perfectly dense material are provided.