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蔡一全, 尹益辉, 李继承
cstr: 32037.14.aps.74.20250107

Effect of uniaxial pre-strain on H adsorption and diffusion on C-doped Fe (110) surface

CAI Yiquan, YIN Yihui, LI Jicheng
cstr: 32037.14.aps.74.20250107
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  • 为了从微观结构层次进一步深入研究和完善预应变/预应力与H吸附钢(Fe-C合金)表面的作用机制, 采用第一性原理的方法计算了单轴预应变对C掺杂Fe(110)表面的H吸附和扩散的影响, 从表面原子空间构型、结合能(Eb)、电子结构3个方面探究预应变对H吸附和渗透的影响, 并计算了掺杂和未掺杂C原子时H渗透的扩散能垒. 结果表明, 掺杂的C原子使Fe晶体的八面体空间在不同方向上发生畸变, 从而使Fe(110)表面产生“畸变”, 不同位点处畸变程度(D)和离C原子本身的距离不一致, 导致各位点在预应变下的吸附结构(H吸附高度d和单元表面积S)与结合能(Eb)变化趋势不一致, 扩散能垒变化趋势与结合能变化趋势相反. 研究发现, H吸附在C掺杂位点时, 吸附结构和结合能计算结果显示H有更容易扩散到内部中的趋势, 而电子结构计算结果显示C原子与H原子相斥, 扩散能垒相较于未掺杂时升高, H原子难以扩散进入体相内部而在C周围富集, 继而诱发氢脆. 吸附结构、结合能、扩散能垒计算结果显示: 在掺杂位点(TFS位点)处, 随着拉伸应变增大, H原子越容易扩散到钢的微观结构中, 随着压缩应变增大, H原子越难扩散到钢的微观结构中, 可利用压缩应变减小钢中氢脆的发生. 这从微观层面解释了实际工程应用中“同等应力情况下, C越多, 钢铁发生氢脆的倾向越严重”的原因, 从电子结构层次完善了预应变下H吸附钢(Fe-C合金)表面的作用机制, 可对氢脆的研究提供参考.
    In order to further investigate and improve the mechanism of the interaction between pre-strain/pre-stress and hydrogen-adsorbed steel (Fe-C alloy) surface at the microstructural level, the first-principles calculations method is used to study the effects of uniaxial pre-strain on hydrogen adsorption and diffusion on C-doped Fe(110) surface. The influence of pre-strain on hydrogen adsorption and permeation is investigated from three aspects: surface atomic spatial configuration, binding energy (Eb), and electronic structure. The diffusion energy barriers for hydrogen permeation are calculated in both doped and undoped C atoms. The results demonstrate that doped C atoms induce octahedral lattice distortion in Fe crystals in different directions, creating “distortion” on the Fe(110) surface. Variations in distortion degree (DΔ) at different sites and their distances from C atom lead to inconsistent trends in adsorption configurations (H adsorption height d and unit surface area SΔ) and binding energy (Eb) under pre-strain. For adsorption configurations, d is coupled by ε and C atom effects: at the TFpure site (non-C-doped site ), d decreases as SΔ increases; under compression (ε decreases from 0% to –5%) at TF (C-doped site with C atom directly beneath the site), TFS (C-doped site located closer to the maximally distorted atom Fe135) and TFL sites (C-doped site located farther from the maximally distorted atom Fe135), d positively correlates with DΔ, while under tension (ε increases from 0% to 5%), d negatively correlates with SΔ. As ε increases from –5% to 5%, Eb peaks at TFpure then declines, whereas Eb at TF decreases initially before rising, and Eb at TFS/TFL monotonically increases. The analysis hows that Eb at TFS/TFL positively is correlated with the standard deviation (Sα) of the three internal angles in the triangular unit. The trend of diffusion energy barrier (E) is opposite to that of Eb. When H is adsorbed at C-doped sites, the adsorption configuration and binding energy calculations indicate that H tends to diffuse inward more readily. However, electronic structure analysis reveals repulsion between C and H atoms, accompanied by increased diffusion barriers compared with the scenarios in the undoped cases, causing H atoms to accumulate around C atoms rather than penetrate the bulk phase, thereby leading hydrogen atoms to embrittle. The calculations of adsorption configuration, binding energy, and diffusion barrier indicate that at doped sites (TFS site), increasing tensile strain can contribute to H diffusion into the steel microstructure, whereas compressive strain hinders it. This explains the engineering phenomenon where “higher carbon content exacerbates hydrogen embrittlement tendency under equivalent stress” on an atomic scale. This work elucidates the mechanism of H adsorption on pre-strained Fe-C alloy surfaces from an electronic structure perspective, providing theoretical ideas for studying hydrogen embrittlement.
      通信作者: 尹益辉, yinyh@caep.ac.cn
    • 基金项目: 国家自然科学基金(批准号: 12072333)资助的课题.
      Corresponding author: YIN Yihui, yinyh@caep.ac.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 12072333).
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  • 应变ε/% 未掺杂 掺杂
    dSB dLB dz lFe47/50-O lFe135-O dSB dLB dz lFe47/50-C lFe135-C
    –5.0 2.426 2.665 2.044 1.962 1.438 2.731 2.677 2.482 1.915 1.811
    –2.5 2.426 2.735 2.016 1.973 1.421 2.761 2.762 2.447 1.935 1.802
    0.0 2.423 2.805 1.994 1.985 1.404 2.773 2.826 2.418 1.952 1.789
    2.5 2.434 2.875 1.978 2.002 1.393 2.772 2.884 2.421 1.963 1.789
    5.0 2.442 2.946 1.952 2.018 1.379 2.806 2.958 2.446 1.976 1.794
    注: dSB为短桥距离, 为Fe47和Fe135之间的距离; dLB为长桥距离, 为Fe47和Fe50之间的距离; dz为最大畸变的Fe原子(Fe135)到次表面Fe原子之间的平均垂直距离, lFe-C为C原子与配位Fe原子之间的键长; lFe-O为Fe原子到八面体中心之间的距离; 以上长度单位均为Å.
    下载: 导出CSV

    ε/%未掺杂掺杂
    OPCOPSBLBTFOPCOPSBLBTF
    –5–2.419–2.421–2.911–2.901–3.040–3.105*–2.438–2.993*–3.002*–2.736
    –2.5–2.360–2.358–2.850–2.853–2.979–3.083*–2.436–2.985*–2.962*–2.961
    0–2.360–2.361–2.829–2.893–2.969–3.059*–2.419–2.975*–2.941*–2.671
    2.5–2.369–2.367–2.841–2.937–2.990–3.051*–2.389–2.949*–2.921*–2.656
    5–2.387–2.388–2.849–1.411–3.002–3.120*–2.290–2.847*–2.840*–2.560
    注: *表示位点不稳定, 最终吸附位点为附近的准三重位点.
    下载: 导出CSV

    ε/%S∆L2
    TFpureTFSTFLTF
    –52.7152.9092.7512.936
    –2.52.7592.9542.7972.998
    02.7462.9882.833.03
    2.52.8123.0482.8293.047
    52.8563.0692.8583.061
    下载: 导出CSV
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出版历程
  • 收稿日期:  2025-01-22
  • 修回日期:  2025-04-08
  • 上网日期:  2025-04-24
  • 刊出日期:  2025-06-20

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