journal article·2024-08Open access

Understanding the Full Zoo of Perovskite Solar Cell Impedance Spectra with the Standard Drift‐Diffusion Model

Will Clarke, Giles Richardson, Petra Cameron

Advanced Energy Materials· Volume 14· Issue 32

Abstract

Abstract The impedance spectra of perovskite solar cells frequently exhibit multiple features that are typically modelled by complex equivalent circuits. This approach can lead to the inclusion of circuit elements without a sensible physical interpretation and create confusion where different circuits are adopted to describe similar cells. Spectra showing two distinct features have already been well explained by a drift‐diffusion model incorporating a single mobile ionic species but spectra with three features have yet to receive the same treatment and have even been dismissed as anomalous. This omission is rectified here by showing that a third (mid‐frequency) impedance feature is a natural consequence of the drift‐diffusion model in certain scenarios. Our comprehensive framework explains the shapes of all previously published spectra, which are classified into six generic types, each named for an animal resembling the Nyquist plot, and approximate solutions to the drift‐diffusion equations are obtained in order to illustrate the specific conditions required for each of these types of spectra to be observed. Importantly, it is shown that the shape of each Nyquist plot can be linked to specific processes occurring within a cell, allowing useful information to be extracted by a visual examination of the impedance spectra.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Perovskite Materials and Applications · Advanced battery technologies research · Conducting polymers and applications

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Mathematical Sciences University of Southampton Southampton SO17 1BJ UK

Institute for Sustainability University of Bath Bath BA2 7AY UK

Department of Chemistry University of Bath Bath BA2 7AY UK

Funding

Engineering and Physical Sciences Research Council

References (100+)

Show source-provided references
1. A.Kojima K.Teshima T.Miyasaka Y.Shirai Novel photoelectrochemical cell with mesoscopic electrodes sensitized by lead‐halide compounds (2). in ECS Meeting Abstracts IOP Publishing Bristol England2006 p.397.10.1149/MA2006-02/7/397 ↗
2. 10.1021/ja809598r10.1021/ja809598r ↗
3. 10.1039/c3ee40810h10.1039/c3ee40810h ↗
4. NREL.Best research‐cell efficiency chart https://www.nrel.gov/pv/cell‐efficiency.html(accessed: October 2023).
5. 10.1002/adma.20170290510.1002/adma.201702905 ↗
6. 10.1038/srep3815010.1038/srep38150 ↗
7. 10.1038/s41598-016-0028-x10.1038/s41598-016-0028-x ↗
8. 10.1016/j.mattod.2018.10.01710.1016/j.mattod.2018.10.017 ↗
9. 10.1021/acsami.8b0103310.1021/acsami.8b01033 ↗
10. 10.1039/C6EE00409A10.1039/C6EE00409A ↗
11. 10.1021/nn506864k10.1021/nn506864k ↗
12. 10.1021/acs.jpclett.8b0135710.1021/acs.jpclett.8b01357 ↗
13. 10.1039/C8EE03475C10.1039/C8EE03475C ↗
14. 10.1039/C6EE03352K10.1039/C6EE03352K ↗
15. 10.1021/acs.accounts.5b0042010.1021/acs.accounts.5b00420 ↗
16. 10.1016/j.nanoen.2018.02.05510.1016/j.nanoen.2018.02.055 ↗
17. 10.1016/j.joule.2017.09.00710.1016/j.joule.2017.09.007 ↗
18. 10.1016/j.nanoen.2021.10685310.1016/j.nanoen.2021.106853 ↗
19. 10.1038/s41560-019-0406-210.1038/s41560-019-0406-2 ↗
20. 10.1038/s41893-021-00701-x10.1038/s41893-021-00701-x ↗
21. 10.1038/ncomms849710.1038/ncomms8497 ↗
22. 10.1039/C8EE02362J10.1039/C8EE02362J ↗
23. 10.1021/jz500113x10.1021/jz500113x ↗
24. 10.1039/C4EE02465F10.1039/C4EE02465F ↗
25. 10.1063/5.013668310.1063/5.0136683 ↗
26. 10.1002/adma.20230214610.1002/adma.202302146 ↗
27. 10.1021/nl404252e10.1021/nl404252e ↗
28. 10.1021/acsenergylett.2c0125210.1021/acsenergylett.2c01252 ↗
29. 10.1021/acs.jpcc.6b0529810.1021/acs.jpcc.6b05298 ↗
30. 10.1021/jp506907610.1021/jp5069076 ↗
31. 10.1039/D2MA00619G10.1039/D2MA00619G ↗
32. 10.1021/acs.chemrev.1c0021410.1021/acs.chemrev.1c00214 ↗
33. 10.1038/s41467-019-09079-z10.1038/s41467-019-09079-z ↗
34. 10.1021/acs.jpclett.0c0233110.1021/acs.jpclett.0c02331 ↗
35. 10.1021/acsphyschemau.1c0000910.1021/acsphyschemau.1c00009 ↗
36. 10.3390/en1613495110.3390/en16134951 ↗
37. 10.1021/acs.jpcc.5b0298410.1021/acs.jpcc.5b02984 ↗
38. 10.1016/j.electacta.2019.06.13410.1016/j.electacta.2019.06.134 ↗
39. 10.1021/acs.jpcc.6b0172810.1021/acs.jpcc.6b01728 ↗
40. 10.1021/acsenergylett.7b0054210.1021/acsenergylett.7b00542 ↗
41. 10.1021/acsami.8b1097910.1021/acsami.8b10979 ↗
42. 10.1021/acsami.7b0130610.1021/acsami.7b01306 ↗
43. 10.3390/cryst708025210.3390/cryst7080252 ↗
44. 10.1039/C5TA02206A10.1039/C5TA02206A ↗
45. 10.1016/j.nanoen.2020.10511010.1016/j.nanoen.2020.105110 ↗
46. 10.1016/j.electacta.2022.14121510.1016/j.electacta.2022.141215 ↗
47. 10.1021/acs.jpcc.7b0097910.1021/acs.jpcc.7b00979 ↗
48. 10.1021/acs.jpclett.7b0041510.1021/acs.jpclett.7b00415 ↗
49. 10.1063/1.499103010.1063/1.4991030 ↗
50. 10.1039/C8TA03875A10.1039/C8TA03875A ↗
51. 10.1039/C9TA02808K10.1039/C9TA02808K ↗
52. 10.1039/C5EE02740C10.1039/C5EE02740C ↗
53. 10.1103/PhysRevApplied.19.01406110.1103/PhysRevApplied.19.014061 ↗
54. 10.1016/j.apm.2018.06.05110.1016/j.apm.2018.06.051 ↗
55. 10.1039/D0NR03058A10.1039/D0NR03058A ↗
56. 10.1021/acsami.9b0499110.1021/acsami.9b04991 ↗
57. 10.1063/1.506325910.1063/1.5063259 ↗
58. 10.1017/S095679251800020710.1017/S0956792518000207 ↗
59. 10.1039/C8EE01576G10.1039/C8EE01576G ↗
60. 10.1007/s10825-019-01396-210.1007/s10825-019-01396-2 ↗
61. Clarke W. · J. Comput. Electron. · 2022 · 22 · 364
62. 10.1021/jp510837q10.1021/jp510837q ↗
63. 10.1557/s43578-022-00540-210.1557/s43578-022-00540-2 ↗
64. 10.1039/D2TC03486G10.1039/D2TC03486G ↗
65. 10.1039/C6CP08424A10.1039/C6CP08424A ↗
66. 10.1021/acs.jpcc.9b0118710.1021/acs.jpcc.9b01187 ↗
67. 10.1016/j.solener.2019.02.05610.1016/j.solener.2019.02.056 ↗
68. 10.1016/j.ceramint.2020.07.26010.1016/j.ceramint.2020.07.260 ↗
69. 10.1016/j.jpowsour.2016.01.04410.1016/j.jpowsour.2016.01.044 ↗
70. 10.1016/j.nanoen.2015.11.03410.1016/j.nanoen.2015.11.034 ↗
71. 10.1002/aenm.20180079410.1002/aenm.201800794 ↗
72. 10.1021/ja508758k10.1021/ja508758k ↗
73. 10.1016/j.jelechem.2020.11429410.1016/j.jelechem.2020.114294 ↗
74. 10.1007/s10853-018-03258-x10.1007/s10853-018-03258-x ↗
75. 10.1021/jp509896u10.1021/jp509896u ↗
76. 10.1021/acs.accounts.5b0043610.1021/acs.accounts.5b00436 ↗
77. 10.1038/ncomms324210.1038/ncomms3242 ↗
78. 10.1021/jz501116910.1021/jz5011169 ↗
79. 10.1021/jacs.5b0853510.1021/jacs.5b08535 ↗
80. 10.1039/D2TA04840J10.1039/D2TA04840J ↗
81. 10.1021/acs.jpcc.2c0272910.1021/acs.jpcc.2c02729 ↗
82. 10.1039/C9TA08848B10.1039/C9TA08848B ↗
83. 10.1016/j.solmat.2021.11154810.1016/j.solmat.2021.111548 ↗
84. 10.1016/j.joule.2018.11.01710.1016/j.joule.2018.11.017 ↗
85. 10.1021/acs.jpclett.0c0245910.1021/acs.jpclett.0c02459 ↗
86. 10.1002/celc.20170049810.1002/celc.201700498 ↗
87. 10.1016/j.materresbull.2018.07.01510.1016/j.materresbull.2018.07.015 ↗
88. 10.1002/cphc.20130121510.1002/cphc.201301215 ↗
89. 10.1002/aenm.20170337610.1002/aenm.201703376 ↗
90. 10.1007/s10825-021-01827-z10.1007/s10825-021-01827-z ↗
91. 10.1038/ncomms1383110.1038/ncomms13831 ↗
92. 10.1021/acsenergylett.0c0017210.1021/acsenergylett.0c00172 ↗
93. 10.1016/j.electacta.2021.13869610.1016/j.electacta.2021.138696 ↗
94. 10.1002/cplu.20210023310.1002/cplu.202100233 ↗
95. 10.1016/j.joule.2019.10.00310.1016/j.joule.2019.10.003 ↗
96. 10.1002/ange.20140974010.1002/ange.201409740 ↗
97. 10.1088/2515-7655/ad0a3810.1088/2515-7655/ad0a38 ↗
98. 10.1021/acs.jcim.1c0150610.1021/acs.jcim.1c01506 ↗
99. 10.1016/j.nanoen.2018.03.04210.1016/j.nanoen.2018.03.042 ↗
100. While cell degradation during measurement is often cited as a possible cause of unusual PSC spectra here we focus on the wide variety of shapes that can be obtained from stable cells that do not degrade during measurements. Preliminary work suggests that the shapes of the Nyquist plots can be affected by degradation. This is something that we will address fully in future work.