Simple and direct interpretation of phase angles or derivation degrees in term of energy conservation vs. dissipation with Formal Graphs |
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Authors: | Eric Vieil |
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Institution: | 1.Laboratoire d’ Electrochimie et de Physico-chimie des Matériaux et des Interfaces (LEPMI), UMR N° 5279,CNRS,Grenoble,France;2.Laboratoire d’ Electrochimie et de Physico-chimie des Matériaux et des Interfaces (LEPMI), UMR N° 5279,Grenoble-INP,Grenoble,France;3.Laboratoire d’ Electrochimie et de Physico-chimie des Matériaux et des Interfaces (LEPMI), UMR N° 5279,Université Joseph Fourier (UJF),Grenoble,France |
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Abstract: | With the help of a new theory using the notion of path in a graph, a physical interpretation and meaning can be given to electroanalytical
measurements, without recourse to mathematical treatments. The frequency dependence of impedances measured by ac techniques,
or the scan rate dependence of current vs. potential characterizations in large signal techniques (cyclic voltammetry), can
be interpreted through this approach as a determination of the proportion of conserved energy vs. total energy involved in
a mechanism. This total energy includes the energy which is lost by dissipation, i.e., converted into heat. This new way of
thinking sheds an interesting light on the difference between normal and anomalous or fractal diffusion and provides to the
analyst a simple and immediate tool for interpreting experimental data. |
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