<p>Binary Se<sub>78</sub>In<sub>22</sub> and ternary Se<sub>78</sub>In<sub>22-x</sub>Bi<sub>x</sub> (<i>x</i> = 4, 8, and 12 at.%) compositions were synthesized using a melt quench technique. The amorphous nature of the synthesized samples was checked by X-ray diffraction analysis. Differential thermal analysis (DTA) has been used for studying kinetics of the glass transitions and crystallization in non-isothermal conditions at various heating rates. The present study revealed that the glass transition temperature <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{\text{g}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mtext>g</mtext> </msub> </math></EquationSource> </InlineEquation>, onset crystallization temperature <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{\text{c}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mtext>c</mtext> </msub> </math></EquationSource> </InlineEquation>, and peak crystallization temperature <InlineEquation ID="IEq3"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{\text{p}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mtext>p</mtext> </msub> </math></EquationSource> </InlineEquation> are influenced by both composition and heating rate. Analyzing the heating rate dependencies of <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{\text{g}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mtext>g</mtext> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq3.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{\text{p}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mtext>p</mtext> </msub> </math></EquationSource> </InlineEquation>, the activation energies for glass transition <InlineEquation ID="IEq6"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq6.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({E}_{\text{g}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mtext>g</mtext> </msub> </math></EquationSource> </InlineEquation> and crystallization <InlineEquation ID="IEq7"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq7.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="19" /> </InlineMediaObject> <EquationSource Format="TEX">\({E}_{\text{c}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>E</mi> <mtext>c</mtext> </msub> </math></EquationSource> </InlineEquation> were determined using different methodologies. Lasocka's empirical equation explained the dependence of <InlineEquation ID="IEq8"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{\text{g}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mtext>g</mtext> </msub> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq9"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq2.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="17" /> </InlineMediaObject> <EquationSource Format="TEX">\({T}_{\text{c}}\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>T</mi> <mtext>c</mtext> </msub> </math></EquationSource> </InlineEquation> on heating rate, and determination of theoretical crystallization temperature. The compositional dependence of the fragility index suggests that the ternary glasses with Bi addition are considered interesting materials and have good glass-forming properties. The transformation mechanisms were investigated through the Avrami exponent <InlineEquation ID="IEq10"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq10.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(n\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>n</mi> </math></EquationSource> </InlineEquation> values and growth dimensionality <InlineEquation ID="IEq11"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq11.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="18" /> </InlineMediaObject> <EquationSource Format="TEX">\(m\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>m</mi> </math></EquationSource> </InlineEquation>. Based on the <InlineEquation ID="IEq12"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10973_2025_14555_Article_IEq10.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="14" /> </InlineMediaObject> <EquationSource Format="TEX">\(n\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>n</mi> </math></EquationSource> </InlineEquation> values, crystallization mechanisms were identified as two-dimensional growth for Se<sub>78</sub>In<sub>22</sub> composition and three-dimensional growth for Se<sub>78</sub>In<sub>22-<i>x</i></sub>Bi<sub><i>x</i></sub> (<i>x</i> = 4, 8, and 12 at.%) compositions. Additionally, various kinetic parameters were derived from the study to further understand the crystallization process.</p>

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Bi addition to binary Se78In22: Non-isothermal glass transition and crystallization kinetics

  • H. E. Atyia,
  • E. G. El-Metwally,
  • H. T. Abdel-Ghafar,
  • A. E. Bekheet

摘要

Binary Se78In22 and ternary Se78In22-xBix (x = 4, 8, and 12 at.%) compositions were synthesized using a melt quench technique. The amorphous nature of the synthesized samples was checked by X-ray diffraction analysis. Differential thermal analysis (DTA) has been used for studying kinetics of the glass transitions and crystallization in non-isothermal conditions at various heating rates. The present study revealed that the glass transition temperature \({T}_{\text{g}}\) T g , onset crystallization temperature \({T}_{\text{c}}\) T c , and peak crystallization temperature \({T}_{\text{p}}\) T p are influenced by both composition and heating rate. Analyzing the heating rate dependencies of \({T}_{\text{g}}\) T g and \({T}_{\text{p}}\) T p , the activation energies for glass transition \({E}_{\text{g}}\) E g and crystallization \({E}_{\text{c}}\) E c were determined using different methodologies. Lasocka's empirical equation explained the dependence of \({T}_{\text{g}}\) T g and \({T}_{\text{c}}\) T c on heating rate, and determination of theoretical crystallization temperature. The compositional dependence of the fragility index suggests that the ternary glasses with Bi addition are considered interesting materials and have good glass-forming properties. The transformation mechanisms were investigated through the Avrami exponent \(n\) n values and growth dimensionality \(m\) m . Based on the \(n\) n values, crystallization mechanisms were identified as two-dimensional growth for Se78In22 composition and three-dimensional growth for Se78In22-xBix (x = 4, 8, and 12 at.%) compositions. Additionally, various kinetic parameters were derived from the study to further understand the crystallization process.