Most theoretical treatments of grain boundary (GB) diffusion start with the model developed by Fisher over sixty years ago, where a bulk material with a low diffusion constant is bisected by a narrow slab with high diffusivity (the GB). For this system, Fisher derived two coupled differential equations, the second involving a first order derivative. While Fisher's model can be applied to more general situations, it can be very cumbersome to implement in cases where the GBs are only piecewise linear and/or intersect at arbitrary angles. In this work, we develop an alternate model involving only second order derivatives that is more conducive to simulating arbitrary GB geometries, but yields results that are equivalent to those one would obtain from Fisher's. We apply our model to the problem of Cl diffusion in CdTe, using it to obtain Cl concentration profile data that is similar to those obtained in recent experiments.

Original languageEnglish (US)
Title of host publication2015 IEEE 42nd Photovoltaic Specialist Conference, PVSC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Print)9781479979448
StatePublished - Dec 14 2015
Event42nd IEEE Photovoltaic Specialist Conference, PVSC 2015 - New Orleans, United States
Duration: Jun 14 2015Jun 19 2015


Other42nd IEEE Photovoltaic Specialist Conference, PVSC 2015
Country/TerritoryUnited States
CityNew Orleans


  • CdTe
  • chlorine
  • grain boundaries
  • impurity diffusion
  • numerical simulation
  • photovoltaic cells

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Electronic, Optical and Magnetic Materials


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