By Richard C. Alkire, Dieter M. Kolb
This is often an important ebook for researchers in electrochemistry; it covers components of either basic and sensible significance, with studies of top of the range. the fabric is especially good awarded and the alternative of subject matters displays a balanced editorial coverage that's welcomed.
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Extra resources for Advances in Electrochemical Sciences and Engineering, Vol. 8
23–28) the relaxation frequencies or; i of bulk, grain boundaries, and electrodes read or; i ¼ si ei ð29Þ and are thus geometry-independent parameters. g. in doped, polycrystalline ZrO2 [208–210]) three semicircles result in the Z-plane (Fig. 6c) and each arc can be related to one electrical or electrochemical process. Conductivities (or area-related resistances) of bulk, grain boundaries and electrodes may be calculated from the resistances according to Eqs. (23), (25) and (27) (if the geometrical parameters are known), or from the corresponding relaxation frequencies (if sensible permittivity values can be assumed in Eq.
Therefore, it is sensible to determine a third parameter, namely the relaxation frequency o2 ¼ ðR 2 C2 ÞÀ1 of the grain boundary semicircle. If uniform grain boundary properties are assumed, hR À1 A hC holds, and according to Eqs. (43, 44) all unknown factors cancel in the product R 2 C2 . Hence, the relaxation frequency o2 reads o2 A 1 egb rgb ð45Þ and represents a very important parameter with respect to local grain boundary investigations. So far only identical grain boundaries have been considered.
43) becomes A 1 (cf. Fig. 16) . In order to determine the grain boundary thickness, C2 -values have to be analyzed according to Eq. (44). As for R 2 , the speciﬁc geometry of the investigated grain boundary and its surroundings a¤ects the analysis since only estimates of the grain boundary area and the fC -factor are available. Hence, a relatively broad distribution Microelectrodes in Solid State Ionics 41 of evaluated apparent wgb -values is to be expected even for a constant grain boundary thickness and only rough estimates of wgb are possible.
Advances in Electrochemical Sciences and Engineering, Vol. 8 by Richard C. Alkire, Dieter M. Kolb