Journal
JOURNAL OF ELECTROANALYTICAL CHEMISTRY
Volume 877, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.jelechem.2020.114607
Keywords
Chronoamperometry; Backward implicit simulation; Nanocubes; GPGPU
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We report the diffusional mass-transport to an isolated cube and numerically determine both the steady-state and the chronoamperometric flux, the latter at both short and long timescales. It is found that across a wide range of timescales the total flux is well approximated (to within 5% error) by the response expected fora sphere of equivalent surface area where the equivalent radius is equal to 1.38 times the half side length of the cube. Under steady-state conditions the size of the equivalent sphere is marginally smaller (equivalent radius 1.34). However, the prime difference between the flux to a cube and a sphere is that in the case of a cube the steady-state flux density across the particle is nonuniform. Towards the cubic particle edges the flux density increases asymptotically. This numerical study was undertaken using a graphics processor unit solving the diffusion equation using a 3D finite difference fully backward implicit scheme. The results are of interest to current-time responses seen in single nanoparticle experiments where non spherical shapes are frequently encountered.
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