<p>This study explores the modelling of the isothermal magnetization, and the magnetic entropy change curves of GdGa<sub>1−x</sub>Al<sub>x</sub> alloys with x = 0, 0.3 and 0.5 via the mean-field model. Magnetization data were analyzed to fit the exchange mean-field, and scaling methods were applied to determine the saturation magnetization <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8793_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{M}_{0}\)</EquationSource> </InlineEquation>, the total spin<InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8793_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:J\)</EquationSource> </InlineEquation> and the Lande factor <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8793_Article_IEq3.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:g\)</EquationSource> </InlineEquation>. As the Al content increases from x = 0 to 0.5, the saturation magnetization <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8793_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="24" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:{M}_{0}\)</EquationSource> </InlineEquation> rises from 142.40 to 184.50 emu·g⁻¹, <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8793_Article_IEq2.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:J\)</EquationSource> </InlineEquation> slightly decreases from 3.70 to 3.31, while <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="339_2025_8793_Article_IEq3.gif" Format="GIF" Height="12" Rendition="HTML" Resolution="72" Type="Linedraw" Width="12" /> </InlineMediaObject> <EquationSource Format="TEX">\(\:g\)</EquationSource> </InlineEquation> remains practically constant at ~ 2. Results demonstrate a notable magnetocaloric effect (MCE), with peak entropy changes reaching 5.57, 5.86, and 7.76&#xa0;J·kg⁻¹·K⁻¹ for x values of 0, 0.3, and 0.5, respectively, under a magnetic field variation of 0–5 T. The temperature-averaged entropy change (TEC) remains consistently stable over a broad thermal span, suggesting good potential for cooling technologies. Among the compositions, the x = 0.5 alloy exhibits the highest TEC of 7.48&#xa0;J·kg⁻¹·K⁻¹ under 5 T magnetic field, highlighting improved MCE performance with increased Al incorporation.</p>

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Simulation of magnetic effect in Al-doped GdGa compounds

  • Saloua Helali,
  • Mohamed Hsini,
  • Ines Hilali Jaghdam,
  • Abdullah M. Aldukhayel,
  • Nouf Ahmed Althumairi

摘要

This study explores the modelling of the isothermal magnetization, and the magnetic entropy change curves of GdGa1−xAlx alloys with x = 0, 0.3 and 0.5 via the mean-field model. Magnetization data were analyzed to fit the exchange mean-field, and scaling methods were applied to determine the saturation magnetization \(\:{M}_{0}\) , the total spin \(\:J\) and the Lande factor \(\:g\) . As the Al content increases from x = 0 to 0.5, the saturation magnetization \(\:{M}_{0}\) rises from 142.40 to 184.50 emu·g⁻¹, \(\:J\) slightly decreases from 3.70 to 3.31, while \(\:g\) remains practically constant at ~ 2. Results demonstrate a notable magnetocaloric effect (MCE), with peak entropy changes reaching 5.57, 5.86, and 7.76 J·kg⁻¹·K⁻¹ for x values of 0, 0.3, and 0.5, respectively, under a magnetic field variation of 0–5 T. The temperature-averaged entropy change (TEC) remains consistently stable over a broad thermal span, suggesting good potential for cooling technologies. Among the compositions, the x = 0.5 alloy exhibits the highest TEC of 7.48 J·kg⁻¹·K⁻¹ under 5 T magnetic field, highlighting improved MCE performance with increased Al incorporation.