Modelling ion motion in perovskite films

Simon O'Kane, Jamie Foster, James Cave, Nicola Courtier, Giles Richardson, Alison Walker

Research output: Contribution to conferencePoster

Abstract

There are two main methods for modelling the electronic properties of perovskite devices. Drift-diffusion modelling [1,2,3] works by solving differential equations, while equivalent circuit modelling [4,5] works by treating different parts of the device as electrical components. This work focuses on drift-diffusion modelling.

Most drift-diffusion models of perovskite use finite-difference methods [1,3], which solve the differential equations at equally-spaced grid points. These models have achieved a valuable qualitative description of the influence of ion motion on the electrical characteristics of perovskite solar cells. However, in order to relate the model predictions to microscopic material properties, a more quantitative model is required.

We use a hybrid model [2] where an asymptotic approximation is used to model the accumulation of ionic charge at the interfaces between materials. The charge accumulation, which is a function of time, is then input into a second model, in which the electron and hole concentrations across the film are expressed as a sum of Chebyshev polynomials using the MATLAB add-on module Chebfun. [6]

In this work, the ability of different drift-diffusion modelling methods to reproduce experimental current-voltage measurements quantitatively is compared.

References
[1] S. van Reenen, M. Kemerink and H. J. Snaith, J. Phys. Chem. Lett. (2015), Vol. 6, 1511-1515
[2] G. Richardson et al, Energy Environ. Sci. (2016), Vol 9, 1476-1485
[3] P. Calado et al., arXiv (2016), https://arxiv.org/abs/1606.00818
[4] A. Pockett et al., J. Phys. Chem. C. (2015), Vol. 119, 3456-3465
[5] L. Cojocaru et al., Chem. Lett. (2015), Vol. 44, 1750-1752
[6] T. A. Driscoll, N. Hale and L. N. Trefethen, Chebfun Guide (2015)

Conference

Conference2nd International Conference on Perovskite Solar Cells and Optoelectronics
Abbreviated titlePSCO 2016
CountryItaly
CityGenova
Period26/09/1628/09/16
Internet address

Fingerprint

ion motion
differential equations
equivalent circuits
electrical measurement
polynomials
solar cells
modules
grids
predictions
approximation
electronics

Cite this

O'Kane, S., Foster, J., Cave, J., Courtier, N., Richardson, G., & Walker, A. (2016). Modelling ion motion in perovskite films. Poster session presented at 2nd International Conference on Perovskite Solar Cells and Optoelectronics, Genova, Italy.

Modelling ion motion in perovskite films. / O'Kane, Simon; Foster, Jamie; Cave, James; Courtier, Nicola; Richardson, Giles; Walker, Alison.

2016. Poster session presented at 2nd International Conference on Perovskite Solar Cells and Optoelectronics, Genova, Italy.

Research output: Contribution to conferencePoster

O'Kane, S, Foster, J, Cave, J, Courtier, N, Richardson, G & Walker, A 2016, 'Modelling ion motion in perovskite films' 2nd International Conference on Perovskite Solar Cells and Optoelectronics, Genova, Italy, 26/09/16 - 28/09/16, .
O'Kane S, Foster J, Cave J, Courtier N, Richardson G, Walker A. Modelling ion motion in perovskite films. 2016. Poster session presented at 2nd International Conference on Perovskite Solar Cells and Optoelectronics, Genova, Italy.
O'Kane, Simon ; Foster, Jamie ; Cave, James ; Courtier, Nicola ; Richardson, Giles ; Walker, Alison. / Modelling ion motion in perovskite films. Poster session presented at 2nd International Conference on Perovskite Solar Cells and Optoelectronics, Genova, Italy.
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