<p>In this investigation, the effects of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(Nd\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">Nd</mi> </mrow> </math></EquationSource> </InlineEquation> substitution on the structural, morphological, magneto-electrical transport, and magnetic properties in the La<sub>0.8-x</sub>Nd<sub>x</sub>Ca<sub>0.15</sub>Sr<sub>0.05</sub>MnO<sub>3</sub> (<i>x</i> = 0.0, 0.05, 0.10, and 0.20) synthesized via the solid-state reaction were reported.&#xa0;The Rietveld X-ray diffraction (XRD) patterns refinement revealed a Pnma orthorhombic structure. Scanning electron microscopy (SEM) coupled with energy-dispersive X-ray (EDX) spectroscopy revealed a micro-granular morphology with slight variations in average grain size (<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\({D}_{SEM}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>D</mi> <mrow> <mi mathvariant="italic">SEM</mi> </mrow> </msub> </math></EquationSource> </InlineEquation>) upon <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(Nd\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">Nd</mi> </mrow> </math></EquationSource> </InlineEquation> substitution, ranging from 1.19&#xa0;μm for <i>x</i> = 0.10 to 1.78&#xa0;μm for x = 0.20. EDX analysis confirmed the presence of all expected constituting elements. The temperature-dependent electrical resistivity, <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq4.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="39" /> </InlineMediaObject> <EquationSource Format="TEX">\(\rho \left(T\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>ρ</mi> <mfenced close=")" open="("> <mi>T</mi> </mfenced> </mrow> </math></EquationSource> </InlineEquation>, exhibited a metal-to-insulator transition at <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{MI}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mrow> <mi mathvariant="italic">MI</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> which gradually decreased with increasing <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(Nd\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">Nd</mi> </mrow> </math></EquationSource> </InlineEquation> content. <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(Nd\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi mathvariant="italic">Nd</mi> </mrow> </math></EquationSource> </InlineEquation> substitution significantly enhanced magnetoresistance (MR), yielding a maximum <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="46" /> </InlineMediaObject> <EquationSource Format="TEX">\(MR\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mi>R</mi> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> of <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq9.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">\(48\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>48</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> at <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq10.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="77" /> </InlineMediaObject> <EquationSource Format="TEX">\(T=214 K\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>T</mi> <mo>=</mo> <mn>214</mn> <mi>K</mi> </mrow> </math></EquationSource> </InlineEquation> near <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{MI}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mrow> <mi mathvariant="italic">MI</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> for the <i>x</i> = 0.10 sample under one tesla. The temperature coefficient of the resistivity (<InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq12.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\(TCR\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>T</mi> <mi>C</mi> <mi>R</mi> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation>) showed similar trends, reaching a peak value of 6.30% K<sup>−1</sup> for the <i>x</i> = 0.05 sample. For <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq13.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="66" /> </InlineMediaObject> <EquationSource Format="TEX">\(T&lt;{T}_{MI}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>T</mi> <mo>&lt;</mo> <msub> <mi>T</mi> <mrow> <mi mathvariant="italic">MI</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation>, the fitting of resistivity data indicates that the transport mechanism is governed by grain boundary effects, electron–electron scattering, and electron–phonon interactions. For <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq14.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="66" /> </InlineMediaObject> <EquationSource Format="TEX">\(T&gt; {T}_{MI}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>T</mi> <mo>&gt;</mo> <msub> <mi>T</mi> <mrow> <mi mathvariant="italic">MI</mi> </mrow> </msub> </mrow> </math></EquationSource> </InlineEquation>, the data are well described by both the Adiabatic Small Polaron Hopping (ASPH) and 3D-Variable Range Hopping (3D-VRH) mechanisms. The obtained values of density of states <InlineEquation ID="IEq15"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq15.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="54" /> </InlineMediaObject> <EquationSource Format="TEX">\(N\left({E}_{F}\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>N</mi> <mfenced close=")" open="("> <msub> <mi>E</mi> <mi>F</mi> </msub> </mfenced> </mrow> </math></EquationSource> </InlineEquation> were found to be in the order of 10<sup>19</sup>&#xa0;eV<sup>−1</sup>.cm<sup>−3</sup>. The mean hopping distance and the mean hopping energy, extracted from the 3D-VRH model, were found to lie in the ranges of 2.57–3.78&#xa0;nm and 0.1–0.14&#xa0;eV, respectively. Magnetization measurements <InlineEquation ID="IEq16"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq16.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="69" /> </InlineMediaObject> <EquationSource Format="TEX">\(M\left(T,H\right)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>M</mi> <mfenced close=")" open="("> <mi>T</mi> <mo>,</mo> <mi>H</mi> </mfenced> </mrow> </math></EquationSource> </InlineEquation> indicated a ferromagnetic-to-paramagnetic transition at the Curie temperature, <InlineEquation ID="IEq17"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq17.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{C}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mi>C</mi> </msub> </math></EquationSource> </InlineEquation>. The decrease in <InlineEquation ID="IEq18"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq17.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{C}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mi>C</mi> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq19"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq5.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="31" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{MI}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mrow> <mi mathvariant="italic">MI</mi> </mrow> </msub> </math></EquationSource> </InlineEquation> with increasing <InlineEquation ID="IEq20"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq20.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="41" /> </InlineMediaObject> <EquationSource Format="TEX">\({Nd}^{3+}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="italic">Nd</mi> </mrow> <mrow> <mn>3</mn> <mo>+</mo> </mrow> </msup> </math></EquationSource> </InlineEquation> concentration was attributed to the weakening of double-exchange interactions between <InlineEquation ID="IEq21"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq21.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="TEX">\({Mn}^{3+}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="italic">Mn</mi> </mrow> <mrow> <mn>3</mn> <mo>+</mo> </mrow> </msup> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq22"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10854_2025_15565_Article_IEq22.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="45" /> </InlineMediaObject> <EquationSource Format="TEX">\({Mn}^{4+}\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="italic">Mn</mi> </mrow> <mrow> <mn>4</mn> <mo>+</mo> </mrow> </msup> </math></EquationSource> </InlineEquation> ions.</p>

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Enhancing properties through Nd substitution in La–Ca–Sr–MnO3 ceramics: structural, morphological, magnetic, and magneto-electrical insights

  • Fatih Denbri,
  • Nabil Mahamdioua,
  • Sevgi Polat-Altintas,
  • José A. Alonso,
  • José L. Martinez,
  • Faiza Meriche,
  • Cabir Terzioglu

摘要

In this investigation, the effects of \(Nd\) Nd substitution on the structural, morphological, magneto-electrical transport, and magnetic properties in the La0.8-xNdxCa0.15Sr0.05MnO3 (x = 0.0, 0.05, 0.10, and 0.20) synthesized via the solid-state reaction were reported. The Rietveld X-ray diffraction (XRD) patterns refinement revealed a Pnma orthorhombic structure. Scanning electron microscopy (SEM) coupled with energy-dispersive X-ray (EDX) spectroscopy revealed a micro-granular morphology with slight variations in average grain size ( \({D}_{SEM}\) D SEM ) upon \(Nd\) Nd substitution, ranging from 1.19 μm for x = 0.10 to 1.78 μm for x = 0.20. EDX analysis confirmed the presence of all expected constituting elements. The temperature-dependent electrical resistivity, \(\rho \left(T\right)\) ρ T , exhibited a metal-to-insulator transition at \({T}_{MI}\) T MI which gradually decreased with increasing \(Nd\) Nd content. \(Nd\) Nd substitution significantly enhanced magnetoresistance (MR), yielding a maximum \(MR\%\) M R % of \(48\%\) 48 % at \(T=214 K\) T = 214 K near \({T}_{MI}\) T MI for the x = 0.10 sample under one tesla. The temperature coefficient of the resistivity ( \(TCR\%\) T C R % ) showed similar trends, reaching a peak value of 6.30% K−1 for the x = 0.05 sample. For \(T<{T}_{MI}\) T < T MI , the fitting of resistivity data indicates that the transport mechanism is governed by grain boundary effects, electron–electron scattering, and electron–phonon interactions. For \(T> {T}_{MI}\) T > T MI , the data are well described by both the Adiabatic Small Polaron Hopping (ASPH) and 3D-Variable Range Hopping (3D-VRH) mechanisms. The obtained values of density of states \(N\left({E}_{F}\right)\) N E F were found to be in the order of 1019 eV−1.cm−3. The mean hopping distance and the mean hopping energy, extracted from the 3D-VRH model, were found to lie in the ranges of 2.57–3.78 nm and 0.1–0.14 eV, respectively. Magnetization measurements \(M\left(T,H\right)\) M T , H indicated a ferromagnetic-to-paramagnetic transition at the Curie temperature, \({T}_{C}\) T C . The decrease in \({T}_{C}\) T C and \({T}_{MI}\) T MI with increasing \({Nd}^{3+}\) Nd 3 + concentration was attributed to the weakening of double-exchange interactions between \({Mn}^{3+}\) Mn 3 + and \({Mn}^{4+}\) Mn 4 + ions.