<p>The effects of Cr substitution on the structural, elastic, electrical and magnetic properties of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_14274_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="172" /> </InlineMediaObject> <EquationSource Format="TEX">\(Li_{0.3} Cr_{x} Zn_{0.4} Fe_{2.3 - x} O_{4}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>L</mi> <msub> <mi>i</mi> <mrow> <mn>0.3</mn> </mrow> </msub> <mi>C</mi> <msub> <mi>r</mi> <mi>x</mi> </msub> <mi>Z</mi> <msub> <mi>n</mi> <mrow> <mn>0.4</mn> </mrow> </msub> <mi>F</mi> <msub> <mi>e</mi> <mrow> <mn>2.3</mn> <mo>-</mo> <mi>x</mi> </mrow> </msub> <msub> <mi>O</mi> <mn>4</mn> </msub> </mrow> </math></EquationSource> </InlineEquation> (where <i>x</i> = 0.0, 0.1, 0.3 and 0.5) compositions have been studied along with the microstructural features.&#xa0;The crystal structure has been observed with an X-ray diffraction technique and it confirms a single-phase cubic spinel structure without any impurity peak. The lattice constant, tetrahedral (A-site), and octahedral (B-site) bond lengths have been calculated and all the parameters decreased with an increase in Cr content due to a shortening of the unit cell. Fourier transforms infrared (FTIR) analysis shows that the characteristic peaks are found in the range from 532 to 584&#xa0;cm<sup>−1</sup> due to the stretching vibrations at the A-site, and in the range from 354 to 365&#xa0;cm<sup>−1</sup> due to the bending vibration in the B-site, respectively. The elastic properties analysis indicates that the synthesized samples are in ductile nature. The microstructural study shows that the average grain diameter is found to be larger for <i>x</i> = 0.1, which could be attributed to the densification of the sample. An enhancement of initial permeability is clearly observed at <i>x</i> = 0.1, which is correlated to the larger grain size.&#xa0;The <i>M-H</i> curve demonstrates that the saturation magnetization reduces linearly as the content of Cr increases from <i>x</i> = 0.0 to <i>x</i> = 0.5. This could be ascribed to the reduction of A-B exchange interaction. Dielectric constant (ε′) and ac electrical conductivity (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_14274_Article_IEq2.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\({\sigma }_{ac}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mrow> <mi mathvariant="italic">ac</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>) have also been enhanced for <i>x</i> = 0.1. However, both ε′ and <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_14274_Article_IEq3.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\({\sigma }_{ac}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>σ</mi> <mrow> <mi mathvariant="italic">ac</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> reduced for x <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_14274_Article_IEq4.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(&gt;\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>&gt;</mo> </math></EquationSource> </InlineEquation> 0.1, which might have diluted the electron exchange between Fe<sup>2+</sup> and Fe<sup>3+</sup> due to the strong occupancy of Cr<sup>3+</sup> ions at the B-site. In addition, Cr substituted Li–Zn ferrite samples (for <i>x</i> <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_14274_Article_IEq5.gif" Format="GIF" Height="11" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\(&gt;\)</EquationSource> <EquationSource Format="MATHML"><math> <mo>&gt;</mo> </math></EquationSource> </InlineEquation> 0.1) show higher frequency stability compared to a pure system.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Structural, elastic, microstructural, ac electrical conductivity and magnetic properties of Li–Cr–Zn ferrite ceramics

  • Rowshon Satara,
  • Muhammad Samir Ullah

摘要

The effects of Cr substitution on the structural, elastic, electrical and magnetic properties of \(Li_{0.3} Cr_{x} Zn_{0.4} Fe_{2.3 - x} O_{4}\) L i 0.3 C r x Z n 0.4 F e 2.3 - x O 4 (where x = 0.0, 0.1, 0.3 and 0.5) compositions have been studied along with the microstructural features. The crystal structure has been observed with an X-ray diffraction technique and it confirms a single-phase cubic spinel structure without any impurity peak. The lattice constant, tetrahedral (A-site), and octahedral (B-site) bond lengths have been calculated and all the parameters decreased with an increase in Cr content due to a shortening of the unit cell. Fourier transforms infrared (FTIR) analysis shows that the characteristic peaks are found in the range from 532 to 584 cm−1 due to the stretching vibrations at the A-site, and in the range from 354 to 365 cm−1 due to the bending vibration in the B-site, respectively. The elastic properties analysis indicates that the synthesized samples are in ductile nature. The microstructural study shows that the average grain diameter is found to be larger for x = 0.1, which could be attributed to the densification of the sample. An enhancement of initial permeability is clearly observed at x = 0.1, which is correlated to the larger grain size. The M-H curve demonstrates that the saturation magnetization reduces linearly as the content of Cr increases from x = 0.0 to x = 0.5. This could be ascribed to the reduction of A-B exchange interaction. Dielectric constant (ε′) and ac electrical conductivity ( \({\sigma }_{ac}\) σ ac ) have also been enhanced for x = 0.1. However, both ε′ and \({\sigma }_{ac}\) σ ac reduced for x \(>\) > 0.1, which might have diluted the electron exchange between Fe2+ and Fe3+ due to the strong occupancy of Cr3+ ions at the B-site. In addition, Cr substituted Li–Zn ferrite samples (for x \(>\) > 0.1) show higher frequency stability compared to a pure system.