<p>Within the present study, the tracer diffusion of zinc in the copper-zinc alloy <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-Cu<InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(_{64}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>64</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>Zn<InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(_{36}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>36</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> is experimentally investigated and the results are compared to molecular dynamics (MD) simulations. For the experiments, the rare stable isotope <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(^{70}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>70</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Zn is used, that is deposited in the form of Cu<InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(_{64}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>64</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>&#xa0;<InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(^{70}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mrow /> <mn>70</mn> </mmultiscripts> </math></EquationSource> </InlineEquation>Zn<InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(_{36}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>36</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> layers on top of polycrystalline <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-Cu<InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(_{64}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>64</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>Zn<InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(_{36}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>36</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation> samples using ion-beam co-sputtering of segmented targets. The coated samples underwent isothermal annealing in argon at temperatures ranging from 400&#xa0;<InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(^\circ \text {C}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> <mtext>C</mtext> </mrow> </math></EquationSource> </InlineEquation> to 600&#xa0;<InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(^\circ \text {C}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mmultiscripts> <mrow /> <mrow /> <mo>∘</mo> </mmultiscripts> <mtext>C</mtext> </mrow> </math></EquationSource> </InlineEquation> for varying durations between 30&#xa0;seconds and 2&#xa0;hours. Molecular dynamics simulations were employed to compute the self-diffusion of Zn in <InlineEquation ID="IEq19"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>α</mi> </math></EquationSource> </InlineEquation>-Cu<InlineEquation ID="IEq20"> <EquationSource Format="TEX">\(_{64}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>64</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>Zn<InlineEquation ID="IEq21"> <EquationSource Format="TEX">\(_{36}\)</EquationSource> <EquationSource Format="MATHML"><math> <mmultiscripts> <mrow /> <mn>36</mn> <mrow /> </mmultiscripts> </math></EquationSource> </InlineEquation>. Simulations using an initial single vacancy yielded results closely aligned with experimental data, in contrast to those with higher vacancy concentrations. Our diffusivities obtained from both tracer diffusion experiments and simulations show the Arrhenius behavior with an activation enthalpy of diffusion of 1.37 eV. This value is consistent with literature results on radiotracer experiments. This study highlights the potential of MD simulations for determining diffusion coefficients as an alternative or complement to expensive and time-consuming extensive experimental investigations.</p>

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Zn Tracer Diffusion in \(\alpha \)-Cu\(_{64}\)Zn\(_{36}\): Bridging Experiments and Simulations

  • Durga Prasanth Dude,
  • Yiran Zhu,
  • Lars Dörrer,
  • Hoang-Thien Luu,
  • Babette Tonn,
  • Harald Schmidt,
  • Nina Merkert

摘要

Within the present study, the tracer diffusion of zinc in the copper-zinc alloy \(\alpha \) α -Cu \(_{64}\) 64 Zn \(_{36}\) 36 is experimentally investigated and the results are compared to molecular dynamics (MD) simulations. For the experiments, the rare stable isotope \(^{70}\) 70 Zn is used, that is deposited in the form of Cu \(_{64}\) 64   \(^{70}\) 70 Zn \(_{36}\) 36 layers on top of polycrystalline \(\alpha \) α -Cu \(_{64}\) 64 Zn \(_{36}\) 36 samples using ion-beam co-sputtering of segmented targets. The coated samples underwent isothermal annealing in argon at temperatures ranging from 400  \(^\circ \text {C}\) C to 600  \(^\circ \text {C}\) C for varying durations between 30 seconds and 2 hours. Molecular dynamics simulations were employed to compute the self-diffusion of Zn in \(\alpha \) α -Cu \(_{64}\) 64 Zn \(_{36}\) 36 . Simulations using an initial single vacancy yielded results closely aligned with experimental data, in contrast to those with higher vacancy concentrations. Our diffusivities obtained from both tracer diffusion experiments and simulations show the Arrhenius behavior with an activation enthalpy of diffusion of 1.37 eV. This value is consistent with literature results on radiotracer experiments. This study highlights the potential of MD simulations for determining diffusion coefficients as an alternative or complement to expensive and time-consuming extensive experimental investigations.