<p>The solubility of vanadium in perovskite-structured <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10853_2025_11126_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="56" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text {BaTiO}_{3}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>BaTiO</mtext> <mn>3</mn> </msub> </math></EquationSource> </InlineEquation> is analyzed via X-ray powder diffraction as a function of two key variables for multi-layer ceramic capacitor applications: A/B cation ratio and oxygen partial pressure. A low solubility limit of around 0.2&#xa0;mol% V is measured for B-site rich (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10853_2025_11126_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="95" /> </InlineMediaObject> <EquationSource Format="TEX">\(A/B=0.997\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>A</mi> <mo stretchy="false">/</mo> <mi>B</mi> <mo>=</mo> <mn>0.997</mn> </mrow> </math></EquationSource> </InlineEquation>) compositions and &lt; 0.2&#xa0;mol% V for A-site rich (<InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10853_2025_11126_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="95" /> </InlineMediaObject> <EquationSource Format="TEX">\(A/B=1.001\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>A</mi> <mo stretchy="false">/</mo> <mi>B</mi> <mo>=</mo> <mn>1.001</mn> </mrow> </math></EquationSource> </InlineEquation>) compositions when processed in air at <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10853_2025_11126_Article_IEq4.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="43" /> </InlineMediaObject> <EquationSource Format="TEX">\(1100\,^{\circ }\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>1100</mn> <mmultiscripts> <mspace width="0.166667em" /> <mrow /> <mo>∘</mo> </mmultiscripts> </mrow> </math></EquationSource> </InlineEquation>C. The limited solubility arises from the propensity to form the competing <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10853_2025_11126_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="65" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text {Ba}_{3}\text {V}_{2}\text {O}_{8}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mtext>Ba</mtext> <mn>3</mn> </msub> <msub> <mtext>V</mtext> <mn>2</mn> </msub> <msub> <mtext>O</mtext> <mn>8</mn> </msub> </mrow> </math></EquationSource> </InlineEquation> phase, which is enhanced in excess Ba compositions. The solubility of V is, however, significantly increased in reducing atmospheres, to at least 0.4 mol% V in the B-site rich compositions. Only a small increase in the V solubility is observed for A-site rich compositions. The higher solubility in reducing atmospheres is attributed to the stabilization of the lower oxidation states of <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10853_2025_11126_Article_IEq6.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="50" /> </InlineMediaObject> <EquationSource Format="TEX">\(\text {V}^{4+/3+}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mtext>V</mtext> <mrow> <mn>4</mn> <mo>+</mo> <mo stretchy="false">/</mo> <mn>3</mn> <mo>+</mo> </mrow> </msup> </math></EquationSource> </InlineEquation> in the B-site octahedral coordination.</p>

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Solubility of vanadium in barium titanate ceramics

  • Andrew Aumen,
  • Seonghwan Hong,
  • E. C. Dickey

摘要

The solubility of vanadium in perovskite-structured \(\text {BaTiO}_{3}\) BaTiO 3 is analyzed via X-ray powder diffraction as a function of two key variables for multi-layer ceramic capacitor applications: A/B cation ratio and oxygen partial pressure. A low solubility limit of around 0.2 mol% V is measured for B-site rich ( \(A/B=0.997\) A / B = 0.997 ) compositions and < 0.2 mol% V for A-site rich ( \(A/B=1.001\) A / B = 1.001 ) compositions when processed in air at \(1100\,^{\circ }\) 1100 C. The limited solubility arises from the propensity to form the competing \(\text {Ba}_{3}\text {V}_{2}\text {O}_{8}\) Ba 3 V 2 O 8 phase, which is enhanced in excess Ba compositions. The solubility of V is, however, significantly increased in reducing atmospheres, to at least 0.4 mol% V in the B-site rich compositions. Only a small increase in the V solubility is observed for A-site rich compositions. The higher solubility in reducing atmospheres is attributed to the stabilization of the lower oxidation states of \(\text {V}^{4+/3+}\) V 4 + / 3 + in the B-site octahedral coordination.