<p>Electric current is typically associated with electromigration damage, but under steady current-carrying conditions it can also bias lattice stability. Here, in situ synchrotron X-ray diffraction and nanodiffraction show that a current density of <InlineEquation ID="IEq1"><EquationSource Format="TEX">\(1.5\times {10}^{3}\)</EquationSource><EquationSource Format="MATHML"><math><mn>1.5</mn><mo>×</mo><msup><mrow><mn>10</mn></mrow><mrow><mn>3</mn></mrow></msup></math></EquationSource></InlineEquation>A cm<sup>−2</sup> retains hexagonal η-Cu<sub>6</sub>Sn<sub>5</sub> under conditions where temperature-matched thermal treatment drives the η → η′ transformation. The retained η phase accommodates the current through anisotropic elastic distortion, with c-axis expansion of ~1.3% and basal-plane contraction of ~0.8%, accompanied by plane-selective dislocation rearrangement and partial lattice recovery after current removal. Grain-resolved stress/strain mapping yields a spatially averaged post-ECS principal-stress scale of ~30–40 MPa, consistent with an order-of-magnitude electron-wind estimate, while the associated elastic-energy density of 9–12 MJ m<sup>−3</sup> remains well below the reconstructive barrier of ~150 MJ m<sup>−3</sup>. These results identify a phenomenological electron-wind-driven elastic accommodation regime in η-Cu<sub>6</sub>Sn<sub>5</sub> under the present current density and experimental geometry, accompanied by plane-selective defect rearrangement, and are experimentally consistent with a Gibbs-like <InlineEquation ID="IEq2"><EquationSource Format="TEX">\(T-\sigma -J\)</EquationSource><EquationSource Format="MATHML"><math><mi>T</mi><mo>−</mo><mi>σ</mi><mo>−</mo><mi>J</mi></math></EquationSource></InlineEquation> description of the current-carrying steady state.</p>

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Electric current as a stabilizing thermodynamic field in metallic crystals

  • Shubhayan Mukherjee,
  • Wan-Zhen Hsieh,
  • Yu-chen Liu,
  • Ching-Yu Chiang,
  • Shang-Jui Chiu,
  • Jun Mizuno,
  • Shih-kang Lin

摘要

Electric current is typically associated with electromigration damage, but under steady current-carrying conditions it can also bias lattice stability. Here, in situ synchrotron X-ray diffraction and nanodiffraction show that a current density of \(1.5\times {10}^{3}\)1.5×103A cm−2 retains hexagonal η-Cu6Sn5 under conditions where temperature-matched thermal treatment drives the η → η′ transformation. The retained η phase accommodates the current through anisotropic elastic distortion, with c-axis expansion of ~1.3% and basal-plane contraction of ~0.8%, accompanied by plane-selective dislocation rearrangement and partial lattice recovery after current removal. Grain-resolved stress/strain mapping yields a spatially averaged post-ECS principal-stress scale of ~30–40 MPa, consistent with an order-of-magnitude electron-wind estimate, while the associated elastic-energy density of 9–12 MJ m−3 remains well below the reconstructive barrier of ~150 MJ m−3. These results identify a phenomenological electron-wind-driven elastic accommodation regime in η-Cu6Sn5 under the present current density and experimental geometry, accompanied by plane-selective defect rearrangement, and are experimentally consistent with a Gibbs-like \(T-\sigma -J\)TσJ description of the current-carrying steady state.