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二维氟代苯甲胺钙钛矿结构和光电性能的理论研究

隋国民 严桂俊 杨光 张宝 冯亚青

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二维氟代苯甲胺钙钛矿结构和光电性能的理论研究

隋国民, 严桂俊, 杨光, 张宝, 冯亚青

Theoretical investigation on structure and optoelectronic performance of two-dimensional fluorbenzidine perovskites

Sui Guo-Min, Yan Gui-Jun, Yang Guang, Zhang Bao, Feng Ya-Qing
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  • 二维铅卤钙钛矿太阳能电池以其高稳定性等优良性质展现出重要的应用价值, 越来越多的二维铅卤钙钛矿材料被用作太阳能电池的光吸收层, 但是关于二维铅卤钙钛矿材料构效关系的理论研究十分匮乏. 本文以苯甲胺铅碘、邻氟苯甲胺铅碘和对氟苯甲胺铅碘二维钙钛矿为出发点, 通过第一性原理计算比较了它们的晶体结构、形成能、激子结合能、载流子迁移率以及对应器件的光电性能, 以考察不同间隔基阳离子对钙钛矿结构、性质以及光电器件性能的影响. 结果表明, 二维钙钛矿的形成能绝对值越大, 光电器件的稳定性越高; 钙钛矿的激子结合能越小, 光电器件的短路电流密度越大, 归纳总结出预测器件短路电流密度的关系式. 在间隔基末端使用吸电子基团修饰有望同时提高光电器件的寿命和短路电流密度. 本研究对于二维钙钛矿材料有机间隔阳离子的设计和筛选具有指导意义.
    Two-dimensional lead halide perovskite solar cell has shown great potential applications because of its relatively high stability in comparison with normal three-dimensional perovskite. More and more two-dimensional lead halide perovskites are used as absorbers in solar cells, but theoretical study on the structure-performance relationship of two-dimensional lead halide perovskites is still lacking. Therefore, starting form 3 kinds of fluorobenzylamine perovskites, first-principle calculations are carried out. By comparing their crystal structures, non-covalent interactions, formation energy, band structures, exciton binding energy, carrier mobilities of theses perovskites, and short-circuit current densities of their corresponding solar cells, the influences caused by organic spacers on the structural and electronic properties are studied. This research shows that the more negative the formation energy, the higher the stability of the optoelectronic device is, and the smaller the exciton binding energy, the larger the short-circuit current of the optoelectronic device is. A relationship for quantitative prediction of short-circuit current is proposed, and substitution with electron-withdrawing groups at the end of the spacer is expected to improve both the stability and short-circuit current density of optoelectronic device. The research results of this work can contribute to the design of new perovskite solar cells with high conversion efficiency.
      通信作者: 张宝, baozhang@tju.edu.cn ; 冯亚青, yqfeng@tju.edu.cn
    • 基金项目: 国家重点研发计划(批准号: 2020YFB0408002)资助的课题.
      Corresponding author: Zhang Bao, baozhang@tju.edu.cn ; Feng Ya-Qing, yqfeng@tju.edu.cn
    • Funds: Project supported by the National Key Research and Development Program of China (Grant No. 2020YFB0408002).
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  • 图 1  优化后的晶体结构图 (a) PMA2PbI4; (b) oFPMA2PbI4; (c), (d) pFPMA2PbI4

    Fig. 1.  The optimized crystal structures: (a) PMA2PbI4; (b) oFPMA2PbI4; (c), (d) pFPMA2PbI4.

    图 2  NCI等值面图. 蓝色和绿色的等值面分别代表强的和中等强度的弱相互作用, 红色等值面代表斥力 (a) PMA2PbI4; (b) oFPMA2PbI4; (c) pFPMA2PbI4

    Fig. 2.  Isosurface NCI plots of (a) PMA2PbI4, (b) oFPMA2PbI4 and (c) pFPMA2PbI4. The isosurfaces are coloured in blue, green and red. Blue and green isosurfaces represent strong and medium-to-weak interactions, while red represents repulsive interactions.

    图 3  能带结构图 (a) PMA2PbI4; (b) oFPMA2PbI4; (c) pFPMA2PbI4

    Fig. 3.  Band structures of (a) PMA2PbI4; (b) PEA2PbI4; (c) oFPEA2PbI4.

    表 1  氟苯甲胺钙钛矿晶格常数、Pb-I键键长和形成能

    Table 1.  Lattice constants, Pb-I bond lengths and formation energies of fluoroaniline perovskites.

    体系ab平均Pb—I键键长/Å形成能/(kJ·mol–1)
    PMA2PbI48.42[8.63]9.05[9.13]3.19[3.20]–332
    oFPMA2PbI48.38[8.70]8.94[9.16]3.17[3.21]–315
    pFPMA2PbI48.35[8.70]8.67[9.24]3.17[3.21]–338
    注: 方括号中为实验数据. 由图1可以看出, 三种钙钛矿具有相同的晶体结构, 其间隔基呈人字形排列, 氟化位置的改变并不影响间隔基的排列方式. 这一现象与氟苯乙胺钙钛矿有所不同, 在氟苯乙胺钙钛矿的实验中, 氟化位置的不同使间隔基呈现多种排列方式[19]. 造成这种区别的原因在于, 氟苯乙铵的苯环侧链长, 苯环可以旋转, 使间隔基具有多种排列方式. 而氟苯甲铵的侧链短, 苯环的旋转受到了甲铵基的限制, 由于甲铵基朝向[PbI6]4-无机八面体赤道面的I原子, 因此氟苯甲铵的位置和取向不能够轻易发生变动, 使得氟化位置无法改变间隔基的排列方式. 此外, 由于苯环侧链长度的差异, 氟苯乙铵中的苯环趴伏在无机八面体上, 而氟苯甲铵中的苯环几乎直立在无机八面体的空隙中, 缺乏苯环与I原子的相互作用, 使得氟苯甲胺钙钛矿的稳定性逊色于氟苯乙胺钙钛矿, 但间隔基排列方式的固定避免了氟苯甲胺钙钛矿产生间隔基取向紊乱的现象[19], 从而确保其光电性能.
    下载: 导出CSV

    表 2  氟苯甲胺钙钛矿激子结合能、载流子折合质量、介电常数以及对应器件的短路电流密度

    Table 2.  The calculated exciton binding energies, carrier-reduced masses, dielectric constants of fluoroaniline perovskites and short circuit current densities of the corresponding devices.

    体系激子结合能/meV载流子折合质量/m0介电常数短路电流密度/(mA·cm–2)
    PMA2PbI42540.1102.4215.64
    oFPMA2PbI42600.1142.4312.79
    pFPMA2PbI42280.1142.6017.84
    下载: 导出CSV

    表 3  氟苯甲胺钙钛矿的载流子迁移率

    Table 3.  The calculated carrier mobilities of fluoroaniline perovskites.

    体系电子/空穴迁移率
    /(cm2·V–1·s–1)
    平均电子迁移率/(cm2·V–1·s–1)
    [1 0 0][0 1 0]
    PMA2PbI41798/112138/117256
    oFPMA2PbI42152/107121/123229
    pFPMA2PbI46054/14760/107119
    注: 使用调和平均数计算平均电子迁移率.
    下载: 导出CSV

    表 4  回归结果

    Table 4.  Regression results.

    参数回归系数标准差t检验 p F检验 p
    a677.10.0030.0096
    b–0.230.0330.006
    c0.190.0510.032
    下载: 导出CSV

    表 A1  氟苯甲胺钙钛矿的晶格常数和空间群

    Table A1.  The lattice constants and space groups of fluoroaniline perovskites.

    体系abcα/(°)β/(°)γ/(°)V3空间群
    PMA2PbI48.42169.045835.498890.000090.287990.00002704.3P1
    oFPMA2PbI48.37988.935735.791390.000191.125590.00002679.5P1
    pFPMA2PbI48.35438.666832.123090.016594.266989.99902319.4P1
    下载: 导出CSV

    表 A2  PMA2PbI4的原子坐标

    Table A2.  Coordinates of atoms within PMA2PbI4.

    原子xyz原子xyz
    C10.517170.554890.58411H140.94060.18110.42597
    C20.553660.5180.62436H150.900450.051080.46057
    C30.66660.409720.63252H160.803010.045950.4208
    C40.700920.373030.66976H170.289470.210970.3243
    C50.508740.55230.69118H180.947370.891280.28593
    C60.622020.444570.6991H190.14940.083410.27174
    C70.474530.589090.65387H200.887190.825660.35248
    C80.017170.945110.41589H210.384060.450230.4338
    C90.053660.9820.37564H220.533830.327530.41889
    C100.16660.090280.36748H230.27110.644920.39045
    C110.200920.126970.33024H240.55940.68110.42597
    C120.008740.94770.30882H250.599550.551080.46057
    C130.122020.055430.3009H260.696990.545950.4208
    C140.974530.910910.34613H270.210530.710970.3243
    C150.482830.445110.41589H280.552630.391280.28593
    C160.446340.4820.37564H290.35060.583410.27174
    C170.33340.590280.36748H300.612810.325660.35248
    C180.299080.626970.33024H310.884060.049770.5662
    C190.491260.44770.30882H320.033830.172470.58111
    C200.377980.555430.3009H330.77110.855080.60955
    C210.525470.410910.34613H340.05940.81890.57403
    C220.982830.054890.58411H350.099550.948920.53943
    C230.946340.0180.62436H360.196990.954050.5792
    C240.83340.909720.63252H370.710530.789030.6757
    C250.799080.873030.66976H380.052630.108720.71407
    C260.991260.05230.69118H390.85060.916590.72826
    C270.877980.944570.6991H400.112810.174340.64752
    C280.025470.089090.65387I10.041890.525350.59029
    H10.615940.549770.5662I20.20090.194170.49275
    H20.466170.672470.58111I30.541890.974650.40971
    H30.72890.355080.60955I40.70090.305830.50725
    H40.44060.31890.57403I50.958110.474650.40971
    H50.400450.448920.53943I60.79910.805830.50725
    H60.303010.454050.5792I70.458110.025350.59029
    H70.789470.289030.6757I80.29910.694170.49275
    H80.447370.608720.71407N10.409690.4360.5683
    H90.64940.416590.72826N20.909690.0640.4317
    H100.387190.674340.64752N30.590310.5640.4317
    H110.115940.950230.4338N40.090310.9360.5683
    H120.966170.827530.41889Pb100.50.5
    H130.22890.144920.39045Pb20.500.5
    下载: 导出CSV

    表 A3  oFPMA2PbI4的原子坐标

    Table A3.  Coordinates of atoms within oFPMA2PbI4.

    原子xyz原子xyz
    C10.972720.421860.34429H140.479910.167510.58306
    C20.002620.451290.30696H150.623680.030740.56934
    C30.119330.555450.29847H160.400040.948590.54165
    C40.203080.628290.327H170.299850.957550.58088
    C50.17080.595650.36416H180.433150.814150.57534
    C60.055350.49060.37357H190.065060.607010.71463
    C70.022510.454220.41357H200.855220.42040.73068
    C80.472720.078140.65571H210.70640.289850.67958
    C90.502630.048710.69304H220.763210.349380.61344
    C100.619330.944550.70153H230.02010.667510.58306
    C110.703080.871710.673H240.876320.530750.56934
    C120.67080.904350.63584H250.099960.448590.54165
    C130.555350.00940.62643H260.200150.457550.58088
    C140.522520.045780.58643H270.066850.314150.57534
    C150.027280.578140.65571H280.565060.892990.28537
    C160.997380.548710.69304H290.355220.07960.26932
    C170.880670.444550.70153H300.20640.210150.32042
    C180.796920.371710.673H310.263210.150620.38656
    C190.82920.404350.63584H320.52010.832490.41694
    C200.944650.50940.62643H330.376320.969250.43066
    C210.977490.545780.58643H340.599970.051410.45835
    C220.527280.921860.34429H350.700150.042450.41912
    C230.497380.951290.30696H360.566850.185850.42466
    C240.380670.055450.29847F10.857860.321180.35266
    C250.296920.128290.327F20.357860.178820.64734
    C260.32920.095650.36416F30.142140.678820.64734
    C270.444650.99060.37357F40.642140.821180.35266
    C280.477490.954220.41357I10.530330.474360.41067
    H10.934940.392990.28537I20.307290.185520.49512
    H20.144780.57960.26932I30.030330.025640.58933
    H30.29360.710150.32042I40.807290.314480.50488
    H40.236790.650620.38656I50.469670.525640.58933
    H50.97990.332490.41694I60.692710.814480.50488
    H60.123680.469250.43066I70.969670.974360.41067
    H70.900040.551410.45835I80.192710.685520.49512
    H80.799850.542450.41912N10.907270.566110.42973
    H90.933150.685850.42466N20.407270.93390.57027
    H100.434940.107010.71463N30.092730.433890.57027
    H110.644780.92040.73068N40.592730.066110.42973
    H120.79360.789850.67958Pb10.50.50.5
    H130.736790.849380.61344Pb2000.5
    下载: 导出CSV

    表 A4  pFPMA2PbI4的原子坐标

    Table A4.  Coordinates of atoms within pFPMA2PbI4.

    原子xyz原子xyz
    I10.439980.493290.60085H240.2220.918480.25715
    I20.070980.336450.49607H250.172570.902580.33308
    I30.351630.544780.3987H260.205980.026540.40327
    I40.719780.699410.50336H270.358860.167740.41412
    I50.850830.993280.39911H280.930790.604330.44934
    I60.220030.836350.50392H290.914730.712940.40637
    I70.939370.044870.60125H300.060.576210.41199
    I80.571280.199340.49664H310.66960.630410.33122
    Pb10.395660.517850.49982H320.720930.602660.25562
    Pb20.895440.017890.50014H330.088740.266130.28799
    F10.85740.599290.77335H340.037490.29310.36323
    F20.353790.919580.77233H350.848620.375880.41492
    F30.433290.098670.22666H360.704620.524020.40267
    F40.935240.41960.22759C10.937880.573120.6482
    N10.852830.437860.58256C20.822550.6750.66192
    N20.350460.101080.58261C30.794490.685040.70405
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出版历程
  • 收稿日期:  2022-04-24
  • 修回日期:  2022-05-18
  • 上网日期:  2022-10-13
  • 刊出日期:  2022-10-20

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