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研究生: 顏宏宇
Yen, Hung-Yu
論文名稱: 以密度泛函理論計算改良鹼性析氫反應之描述符
Improvement of the Descriptor for Hydrogen Evolution Reaction in Alkaline Media by Computational Study
指導教授: 王禎翰
Wang, Jeng-Han
口試委員: 李積琛
Lee, Chi-Shen
羅夢凡
Luo, Meng-Fan
王禎翰
Wang, Jeng-Han
口試日期: 2022/06/10
學位類別: 碩士
Master
系所名稱: 化學系
Department of Chemistry
論文出版年: 2022
畢業學年度: 110
語文別: 中文
論文頁數: 95
中文關鍵詞: 鹼性析氫反應密度泛函理論吉布斯自由能功函數雷達圖
英文關鍵詞: Alkaline hydrogen evolution reaction, density functional theory, Gibbs free energy, work function, radar chart
研究方法: 實驗設計法
DOI URL: http://doi.org/10.6345/NTNU202200650
論文種類: 學術論文
相關次數: 點閱:23下載:13
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  • 在過去的研究中,酸性的析氫反應只需計算氫的吸附自由能(∆GH*),即可決定催化劑的好壞。在本篇研究中,我們利用3個鹼性析氫反應中最重要的參數:氫的吸附自由能(∆GH*)、氫氧根的吸附自由能(∆GoH*)、水解離活化能(Ea(water)),繪製出雷達圖,建構出一個簡單、有用的方法,來判斷較為複雜的鹼性析氫反應活性。一開始,本篇研究先計算單金屬銀(Ag)、金(Au)、鈷(Co)、銅(Cu)、鎳(Ni)、鈀(Pd)、鉑(Pt) (皆為FCC (111)面),並數繪製成雷達圖,與文獻值的交換電流密度對數(log i0)繪製成散佈圖後,發現兩者呈現高度正相關,代表雷達圖面積可以很好的對應鹼性析氫反應的活性。接著,本篇研究測試了以鉑(Pt)和鈀(Pd)為基底的雙金屬催化劑:Pt3M、PtM、Pd3M、PdM (M = Ag、Au、Co、Ni、Pd、Pt、Rh、Ru),並且將雷達圖面積與功函數比較後,發現兩者呈線高度正相關,代表功函數也可以代表活性,並且以鉑(Pt)為基底的雙金屬催化劑的活性高於以鈀(Pd)為基底的雙金屬催化劑,其中又以Pt3Au為最高。最後,本篇研究也計算了非金屬催化劑Fe3O4(220)及FeP(111),繪製出雷達圖後,其活性趨勢為FeP(111) > Fe3O4(220),與實驗中磷化物的活性高於氧化物的趨勢相符。

    Catalytic activity of hydrogen evolution reaction (HER) in acidic media can be well predicted through hydrogen-adsorption free energy (∆GH*) previously. In the present study, we further develop a simple and useful method to diagnose the more complicated HER in alkaline media by utilizing three vital parameters of ∆GH*, hydroxide-adsorption free energy (∆GoH*), and activation energy of water dissociation (Ea(water)) in a radar chart. First, we examined single metals of Ag, Au, Co, Cu, Ni, Pd, Pt with the same crystal structure (FCC) and surface facet (111). The area of radar chart well correlated with the (logarithm of) exchange current density (log i0) from experiments, indicating the accuracy of our new method. Further, we examined Pt and Pd-based bimetallic catalysts of Pt3M, PtM, Pd3M and PdM (M = Ag, Au, Co, Ni, Pt, Pd, Rh, Ru). Excellent correlation is also found between the area and work function, representing as activity. Pt-based bimetals shows better activity than Pd-based one and Pt3Au shows the best HER activity. Finally, Fe3O4(220) and FeP(111) have been examined to extend our method in non-metallic catalysts. The predicted activity follow the trends of FeP(111) > Fe3O4(220), which consistent with the experiments that phosphides are more active than oxides.

    致謝 i 摘要 ii Abstract iii 目錄 iv 圖目錄 vi 表目錄 ix 第1章 緒論 1 1-1 前言 1 1-2 鹼性析氫反應的介紹 2 1-3 鹼性析氫反應計算值與實驗值的對應 7 1-4 研究方向 9 第2章 理論計算原理 11 2-1 密度泛函理論 (Density Functional Theory) 11 2-1-1 Thomas-Fermi模型 11 2-1-2 Thomas-Fermi-Dirac模型 12 2-1-3 Hohenberg-Kohn定理 12 2-1-4 Kohn-Sham方程式 13 2-1-5 交換關聯函數 15 2-2 固態材料之理論計算 16 2-2-1 基底函數組 (Basis set) 16 2-2-2 贋勢 (Pseudopotential) 17 2-2-3 布洛赫定理 (Bloch’s Theorem) 19 2-2-4 倒晶格 (Reciprocal Lattice) 19 2-2-5 自洽過程 (Self-consistent calculation) 21 2-3 計算系統與軟體參數設定 22 2-3-1 計算平台-國家高速網路與計算中心 (NCHC) 22 2-3-2 計算軟體-VASP 23 2-3-3 計算參數設定 23 第3章 單金屬鹼性析氫反應之計算方法 25 3-1 單金屬表面模型的建立 25 3-2 鹼性析氫反應在單金屬上之吸附模型建立 27 3-2-1 H吸附模型 28 3-2-2 OH吸附模型 29 3-2-3 H-OH共吸附模型 31 3-2-4 H2O吸附模型 33 3-2-5 水解反應模型 34 3-3 鹼性析氫反應在單金屬表面之定量方式 35 3-3-1 火山圖 (Volcano Plot) 35 3-3-2 雷達圖 36 3-3-3 雷達圖面積與交換電流密度關係圖 39 3-4 功函數與交換電流密度 40 3-4-1 功函數計算方法 40 3-4-2 功函數與交換電流關係圖 41 3-4-3 雷達圖面積與功函數關係圖 42 第4章 以鉑、鈀為基底之雙金屬鹼性析氫反應探討 44 4-1 雙金屬模型建立 44 4-1-1 Mb:M = 3:1 44 4-1-2 Mb:M = 1:1 47 4-2 鹼性析氫反應在以鉑、鈀為基底之雙金屬吸附點位 50 4-2-1 H吸附模型 50 4-2-2 OH吸附模型 52 4-2-3 H-OH共吸附模型 53 4-2-4 H2O吸附模型 55 4-2-5 水解反應模型 56 4-3 鹼性析氫反應在以鉑、鈀為基底之雙金屬表面定量方式 57 4-3-1 雷達圖 57 4-3-2 面積與功函數關係圖 59 第5章 非金屬催化劑於鹼性析氫反應之探討 61 5-1 非金屬催化劑模型 61 5-1-1 非金屬催化劑模型的建立 61 5-2 鹼性析氫反應在Fe3O4、FeP上之吸附模型建立 62 5-3 Fe3O4(220)、FeP(111)於雷達圖上的繪製與面積的比較 64 5-3-1 雷達圖 64 5-3-2 面積比較 65 第6章 結論 66 參考文獻 67 附錄 71

    1. James, S.R., et al., Hominid Use of Fire in the Lower and Middle Pleistocene: A Review of the Evidence [and Comments and Replies]. Current Anthropology, 1989. 30(1): p. 1-26.
    2. Zhao, G., et al., Heterostructures for Electrochemical Hydrogen Evolution Reaction: A Review. Advanced Functional Materials, 2018. 28(43): p. 1803291.
    3. Ďurovič, M., J. Hnát, and K. Bouzek, Electrocatalysts for the hydrogen evolution reaction in alkaline and neutral media. A comparative review. Journal of Power Sources, 2021. 493: p. 229708.
    4. Coontz, R. and B. Hanson, Not So Simple. Science, 2004. 305(5686): p. 957-957.
    5. Moreno-Benito, M., P. Agnolucci, and L.G. Papageorgiou, Towards a sustainable hydrogen economy: Optimisation-based framework for hydrogen infrastructure development. Computers & Chemical Engineering, 2017. 102: p. 110-127.
    6. Sheng, W., et al., Correlating the hydrogen evolution reaction activity in alkaline electrolytes with the hydrogen binding energy on monometallic surfaces. Energy & Environmental Science, 2013. 6(5).
    7. Pierozynski, B., et al., Kinetics of oxygen evolution reaction on nickel foam and platinum-modified nickel foam materials in alkaline solution. Journal of Electroanalytical Chemistry, 2019. 847: p. 113194.
    8. Hu, C., L. Zhang, and J. Gong, Recent progress made in the mechanism comprehension and design of electrocatalysts for alkaline water splitting. Energy & Environmental Science, 2019. 12(9): p. 2620-2645.
    9. Nørskov, J.K., et al., Trends in the Exchange Current for Hydrogen Evolution. Journal of The Electrochemical Society, 2005. 152(3): p. J23.
    10. Oh, A., et al., Rational design of Pt–Ni–Co ternary alloy nanoframe crystals as highly efficient catalysts toward the alkaline hydrogen evolution reaction. Nanoscale, 2016. 8(36): p. 16379-16386.
    11. Abbas, S.A., et al., Catalytic Activity of Urchin-like Ni nanoparticles Prepared by Solvothermal Method for Hydrogen Evolution Reaction in Alkaline Solution. Electrochimica Acta, 2017. 227: p. 382-390.
    12. Sun, T., et al., Ordered mesoporous NiCo alloys for highly efficient electrocatalytic hydrogen evolution reaction. International Journal of Hydrogen Energy, 2017. 42(10): p. 6637-6645.
    13. Pan, Y., et al., Cobalt phosphide-based electrocatalysts: synthesis and phase catalytic activity comparison for hydrogen evolution. Journal of Materials Chemistry A, 2016. 4(13): p. 4745-4754.
    14. Hunt, S.T., et al., Activating earth-abundant electrocatalysts for efficient, low-cost hydrogen evolution/oxidation: sub-monolayer platinum coatings on titanium tungsten carbide nanoparticles. Energy & Environmental Science, 2016. 9(10): p. 3290-3301.
    15. Deng, J., et al., Triggering the electrocatalytic hydrogen evolution activity of the inert two-dimensional MoS2 surface via single-atom metal doping. Energy & Environmental Science, 2015. 8(5): p. 1594-1601.
    16. Ma, S., et al., Pollen-like self-supported FeIr alloy for improved hydrogen evolution reaction in acid electrolyte. Journal of Energy Chemistry, 2022. 66: p. 560-565.
    17. Huang, X., et al., Interface construction of P-Substituted MoS2 as efficient and robust electrocatalyst for alkaline hydrogen evolution reaction. Nano Energy, 2020. 78.
    18. McCrum, I.T. and M.T.M. Koper, The role of adsorbed hydroxide in hydrogen evolution reaction kinetics on modified platinum. Nature Energy, 2020. 5(11): p. 891-899.
    19. Weng, Z., et al., Metal/Oxide Interface Nanostructures Generated by Surface Segregation for Electrocatalysis. Nano Lett, 2015. 15(11): p. 7704-10.
    20. Trasatti, S., Work function, electronegativity, and electrochemical behaviour of metals: III. Electrolytic hydrogen evolution in acid solutions. Journal of Electroanalytical Chemistry and Interfacial Electrochemistry, 1972. 39(1): p. 163-184.
    21. Vayenas, C.G., S. Bebelis, and S. Ladas, Dependence of catalytic rates on catalyst work function. Nature, 1990. 343(6259): p. 625-627.
    22. Harinipriya, S. and M.V. Sangaranarayanan, Electron transfer reactions at metal electrodes: Influence of work function on free energy of activation and exchange current density. The Journal of Chemical Physics, 2001. 115(13): p. 6173-6178.
    23. Thomas, L.H., The calculation of atomic fields. Mathematical Proceedings of the Cambridge Philosophical Society, 1927. 23(5): p. 542-548.
    24. Dirac, P.A.M., Note on Exchange Phenomena in the Thomas Atom. Mathematical Proceedings of the Cambridge Philosophical Society, 1930. 26(3): p. 376-385.
    25. Latter, R., Atomic Energy Levels for the Thomas-Fermi and Thomas-Fermi-Dirac Potential. Physical Review, 1955. 99(2): p. 510-519.
    26. Hohenberg, P. and W. Kohn, Inhomogeneous Electron Gas. Physical Review, 1964. 136(3B): p. B864-B871.
    27. Kohn, W. and L.J. Sham, Self-Consistent Equations Including Exchange and Correlation Effects. Physical Review, 1965. 140(4A): p. A1133-A1138.
    28. Perdew, J.P. and Y. Wang, Accurate and simple analytic representation of the electron-gas correlation energy. Physical Review B, 1992. 45(23): p. 13244-13249.
    29. Perdew, J.P., M. Ernzerhof, and K. Burke, Rationale for mixing exact exchange with density functional approximations. The Journal of Chemical Physics, 1996. 105(22): p. 9982-9985.
    30. Becke, A.D., Density‐functional thermochemistry. III. The role of exact exchange. The Journal of Chemical Physics, 1993. 98(7): p. 5648-5652.
    31. Stephens, P.J., et al., Ab Initio Calculation of Vibrational Absorption and Circular Dichroism Spectra Using Density Functional Force Fields. The Journal of Physical Chemistry, 1994. 98(45): p. 11623-11627.
    32. Perdew, J.P., K. Burke, and M. Ernzerhof, Generalized Gradient Approximation Made Simple. Physical Review Letters, 1996. 77(18): p. 3865-3868.
    33. Slater, J.C., Atomic Shielding Constants. Physical Review, 1930. 36(1): p. 57-64.
    34. Boys, S.F. and A.C. Egerton, Electronic wave functions - I. A general method of calculation for the stationary states of any molecular system. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1950. 200(1063): p. 542-554.
    35. Payne, M.C., et al., Iterative minimization techniques for ab initio total-energy calculations: molecular dynamics and conjugate gradients. Reviews of Modern Physics, 1992. 64(4): p. 1045-1097.
    36. Hamann, D.R., M. Schlüter, and C. Chiang, Norm-Conserving Pseudopotentials. Physical Review Letters, 1979. 43(20): p. 1494-1497.
    37. Vanderbilt, D., Soft self-consistent pseudopotentials in a generalized eigenvalue formalism. Physical Review B, 1990. 41(11): p. 7892-7895.
    38. Blöchl, P.E., Projector augmented-wave method. Physical Review B, 1994. 50(24): p. 17953-17979.
    39. Setyawan, W. and S. Curtarolo, High-throughput electronic band structure calculations: Challenges and tools. Computational Materials Science, 2010. 49(2): p. 299-312.
    40. NCHC. Peta級運算能量之高速計算主機. 2022; Available from: https://iservice.nchc.org.tw/nchc_service/nchc_service_hpc.php.
    41. William H. Press, S.A.T., William T. Vetterling and Brian P. Flannery, Numerical recipes : the art of scientific computing. 1986, New York: Cambridge University Press.
    42. Henkelman, G., B.P. Uberuaga, and H. Jónsson, A climbing image nudged elastic band method for finding saddle points and minimum energy paths. The Journal of Chemical Physics, 2000. 113(22): p. 9901-9904.
    43. Monkhorst, H.J. and J.D. Pack, Special points for Brillouin-zone integrations. Physical Review B, 1976. 13(12): p. 5188-5192.
    44. Kristoffersen, H.H., T. Vegge, and H.A. Hansen, OH formation and H2 adsorption at the liquid water–Pt(111) interface. Chemical Science, 2018. 9(34): p. 6912-6921.
    45. Conway, B.E. and G. Jerkiewicz, Relation of energies and coverages of underpotential and overpotential deposited H at Pt and other metals to the ‘volcano curve’ for cathodic H2 evolution kinetics. Electrochimica Acta, 2000. 45(25): p. 4075-4083.
    46. Trasatti, S. and R. Parsons, Interphases in systems of conducting phases (Recommendations 1985). Pure and Applied Chemistry, 1986. 58(3): p. 437-454.
    47. Duan, Z. and G. Wang, Comparison of Reaction Energetics for Oxygen Reduction Reactions on Pt(100), Pt(111), Pt/Ni(100), and Pt/Ni(111) Surfaces: A First-Principles Study. The Journal of Physical Chemistry C, 2013. 117(12): p. 6284-6292.
    48. Kobayashi, S., D.A. Tryk, and H. Uchida, Enhancement of hydrogen evolution activity on Pt-skin/Pt3Co [(111), (100), and (110)] single crystal electrodes. Electrochemistry Communications, 2020. 110: p. 106615.
    49. Wang, F., et al., A FeP powder electrocatalyst for the hydrogen evolution reaction. Electrochemistry Communications, 2018. 92: p. 33-38.
    50. Qin, X., et al., The Role of Ru in Improving the Activity of Pd toward Hydrogen Evolution and Oxidation Reactions in Alkaline Solutions. ACS Catalysis, 2019. 9(10): p. 9614-9621.

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