Symmetry Considerations in the Modelling of Light–Matter Interactions in Nanoelectrochemistry

  • Chitra Rangan
Part of the Modern Aspects of Electrochemistry book series (MAOE, volume 44)


The modelling of light–matter interactions at nanometre length scales is becoming increasingly important in modern nanoelectrochemistry. The ability to fabricate extremely sophisticated nanostructures in the laboratory that cannot be described analytically has driven the need for modelling. Advances in scientific computation techniques, and the availability of computing resources have also led to cost savings in several industries, such as the automotive industry. One of the most important considerations for choosing the optimal numerical technique for a problem is symmetry. This rather old-fashioned consideration has tremendous effects on both the accuracy and the efficiency of numerical methods. We show how symmetry considerations play a major role in modern scientific computation. Examples of supported and unsupported quantum dots and quantum dot clusters are presented.


Collocation Point Effective Electron Mass Laguerre Function Radial Grid Coulomb Singularity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



I would like to gratefully acknowledge help from and discussions with Silvia Mittler, Bulent Mutus, Mordechay Schlesinger, Mohammed Hashemi, Jeffrey Rau and Daniel Trojand. Research support by the Natural Sciences and Engineering Research Council of Canada, and Canada Foundation for Innovation is gratefully appreciated. Part of the computations were done on the SharcNet supercomputing network.


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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of WindsorWindsorCanada

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