(note: frustratingly, Github STILL does not support LaTeX inline. The unedited version of this page is copied from the Jupyter Notebook:

Intensity-Modulated Scanning Kelvin Probe Microscopy (IM-SKPM)

A simple package for simulating IM-SKPM in photovoltaics based on conventional charge density recombination ODE.

This approach simulates equations of the form:

dn/dt = G-k_1*n - k_2*n^2 - k_3*n^3

where:

• n = carrier density (/cm^3)
• dn/dt = change in carrier density (/cm^3s)
• G = generation rate (/cm^3)
• k_1 = monomoecular recombination rate (/s), trapping/nonradiative recombination
• k_2 = bimolecular recombination rate (cm^3/s), band-band/radiative recombination
• k_3 = third order recombination rate (cm^6/s), Auger recombination

See, for example: deQuilettes,et al. "Charge-Carrier Recombination in Halide Perovskites." Chemical Reviews 119, 11007-11019 (2019).DOI:10.1021/acs.chemrev.9b00169.

Package location:

• IMSKPM

Installation instructions:

• Clone or download the code from the link above (it is not on PyPi or other package sites...yet)
• In a command window, navigate to the folder where this is installed, then type: python setup.py or python setup.py develop

Then use

import imskpm

or follow the commands in the cells below.

For more information:

Rajiv Giridharagopal, Ph.D.
University of Washington
[email protected]