<p>The effects of Bi substitution on the structural, microstructural, magnetic, and magnetocaloric properties of <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq2.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="179" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{La}}_{0.65}{\text{Ba}}_{0.35-\text{x}}{\text{Bi}}_{\text{x}}{\text{MnO}}_{3-\delta }\)</EquationSource> </InlineEquation>&#xa0;(where x = 0.00, 0.05, 0.10, and 0.15) are reported in this study. The X-ray diffraction pattern indicates that the crystal structure of the samples is in a rhombohedral structure with <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq3.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(R\overline{3 }c\)</EquationSource> </InlineEquation> space group. The microstructural analysis reveals that the grain growth of the samples strongly depends on the amount of Bi content. The average grain size <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq4.gif" Format="GIF" Height="22" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\({(D}_{avg})\)</EquationSource> </InlineEquation> increases from 0.112 ± 0.04 to 1.443 ± 0.83 <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq5.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="29" /> </InlineMediaObject> <EquationSource Format="TEX">\(\mu m\)</EquationSource> </InlineEquation> as the content of Bi increases from x = 0.0 to 0.10. However, the value of <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq6.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="35" /> </InlineMediaObject> <EquationSource Format="TEX">\({D}_{avg}\)</EquationSource> </InlineEquation> is reduced for x = 0.15. Temperature-dependent magnetization has been investigated under ZFC and FC conditions. The degree of bifurcation in ZFC and FC moods is relatively smaller for x = 0.10, which indicates the lowering of the canted nature of spin and magnetic inhomogeneity. The Curie temperature (<InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq7.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{C}\)</EquationSource> </InlineEquation>) has decreased from 298 to 214 K with increasing Bi content, which is attributed to the weakening of the double exchange (DE) interaction. Interestingly, above <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq8.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{C}\)</EquationSource> </InlineEquation>, the samples do not exhibit a fully paramagnetic (PM) nature, but a short-range ferromagnetic (FM) cluster, known as the Griffith phase (GP), has been observed. The value of magnetic susceptibility exponent in GP region, <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq9.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="30" /> </InlineMediaObject> <EquationSource Format="TEX">\({\lambda }_{GP}\)</EquationSource> </InlineEquation> (= 0.739 ± 0.04) and temperature range of GP (= 44.86%) are higher for x = 0.15, indicating a stronger <i>A</i>-site disorder in the sample. The magnetocaloric effect has been observed in terms of maximum magnetic entropy change (<InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq10.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\Delta {S}_{M}\)</EquationSource> </InlineEquation>)<sub>max</sub> and relative cooling power (RCP) factor.&#xa0;The values of (<InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq11.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="53" /> </InlineMediaObject> <EquationSource Format="TEX">\(-\Delta {S}_{M}\)</EquationSource> </InlineEquation>)<sub>max</sub> and RCP are found to be 1.234 <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq12.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="75" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{J kg}}^{-1}{\text{K}}^{-1}\)</EquationSource> </InlineEquation> and 124.61 <InlineEquation ID="IEq13"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq13.gif" Format="GIF" Height="20" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\({\text{J kg}}^{-1}\)</EquationSource> </InlineEquation> for x = 0.10,&#xa0;respectively, at <InlineEquation ID="IEq14"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42247_2024_978_Article_IEq14.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="32" /> </InlineMediaObject> <EquationSource Format="TEX">\(\Delta H\)</EquationSource> </InlineEquation> = 2 T. This high value of RCP is desirable for magnetic refrigeration over a wide range of temperatures.</p>

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Structural, morphological, magnetic, and magnetocaloric properties of \({\text{La}}_{0.65}{\text{Ba}}_{0.35-\text{x}}{\text{Bi}}_{\text{x}}{\text{MnO}}_{3-\updelta }\) perovskite manganites: evolution of Griffiths phase

  • Md. Rasel Shikder,
  • Muhammad Samir Ullah

摘要

The effects of Bi substitution on the structural, microstructural, magnetic, and magnetocaloric properties of \({\text{La}}_{0.65}{\text{Ba}}_{0.35-\text{x}}{\text{Bi}}_{\text{x}}{\text{MnO}}_{3-\delta }\)  (where x = 0.00, 0.05, 0.10, and 0.15) are reported in this study. The X-ray diffraction pattern indicates that the crystal structure of the samples is in a rhombohedral structure with \(R\overline{3 }c\) space group. The microstructural analysis reveals that the grain growth of the samples strongly depends on the amount of Bi content. The average grain size \({(D}_{avg})\) increases from 0.112 ± 0.04 to 1.443 ± 0.83 \(\mu m\) as the content of Bi increases from x = 0.0 to 0.10. However, the value of \({D}_{avg}\) is reduced for x = 0.15. Temperature-dependent magnetization has been investigated under ZFC and FC conditions. The degree of bifurcation in ZFC and FC moods is relatively smaller for x = 0.10, which indicates the lowering of the canted nature of spin and magnetic inhomogeneity. The Curie temperature ( \({T}_{C}\) ) has decreased from 298 to 214 K with increasing Bi content, which is attributed to the weakening of the double exchange (DE) interaction. Interestingly, above \({T}_{C}\) , the samples do not exhibit a fully paramagnetic (PM) nature, but a short-range ferromagnetic (FM) cluster, known as the Griffith phase (GP), has been observed. The value of magnetic susceptibility exponent in GP region, \({\lambda }_{GP}\) (= 0.739 ± 0.04) and temperature range of GP (= 44.86%) are higher for x = 0.15, indicating a stronger A-site disorder in the sample. The magnetocaloric effect has been observed in terms of maximum magnetic entropy change ( \(-\Delta {S}_{M}\) )max and relative cooling power (RCP) factor. The values of ( \(-\Delta {S}_{M}\) )max and RCP are found to be 1.234 \({\text{J kg}}^{-1}{\text{K}}^{-1}\) and 124.61 \({\text{J kg}}^{-1}\) for x = 0.10, respectively, at \(\Delta H\) = 2 T. This high value of RCP is desirable for magnetic refrigeration over a wide range of temperatures.