Fuel Cells and Solid State Chemistry Division, Risø National Laboratory for Sustainable Energy, Technical University of Denmark, Frederiksborgvej 399, DK-4000 Roskilde, Denmark.
Phys Chem Chem Phys. 2010 Sep 7;12(33):9637-49. doi: 10.1039/c000865f. Epub 2010 Jun 24.
For a mixed oxide-ion and electron conducting oxide, with oxygen vacancies (V(O)) and electrons (e') or holes (h ) as charge carriers, a flux of (V(O)) (J(i)) can in principle be driven, not only directly by its own electrochemical potential gradient (inverted Delta eta(i)), but also indirectly by that of electrons (inverted Delta eta(e)), and vice versa for the flux of electrons (J(e)). It is common practice to assume that electrons and mobile ions migrate independently, despite the lack of experimental evidence in support of this. Here, all the Onsager coefficients, including the cross coefficients, have been measured for Ce(0.8)Pr(0.2)O(2-delta) within the a(O(2)) range 10(-21)-1 at 800 degrees C, using local ionic and electronic probes in a four-probe configuration. The cross coefficients of transport were found to be negligible in comparison to the direct coefficients in the a(O(2)) range 10(-21)-10(-4), but of the same order of magnitude as the direct coefficients for high a(O(2)) values (10(-2)-1). This is in contrast to the commonly used assumption that the two types of carriers migrate independently, i.e. that L(ie) = 0.
对于同时具有氧空位 (V(O)) 和电子 (e') 或空穴 (h ) 作为载流子的混合氧离子和电子导体氧化物,(V(O)) 的通量 (J(i)) 原则上可以被驱动,不仅可以直接由其自身的电化学势梯度(倒置的 Delta eta(i)),还可以间接由电子的电化学势梯度(倒置的 Delta eta(e))驱动,反之亦然,电子通量 (J(e)) 也是如此。尽管缺乏实验证据支持,但通常假设电子和可移动离子可以独立迁移。在这里,在 800°C 下,使用四探针配置中的局部离子和电子探针,在 a(O(2)) 范围内 10(-21)-1 下,测量了 Ce(0.8)Pr(0.2)O(2-delta) 的所有 Onsager 系数,包括交叉系数。在 a(O(2)) 范围内 10(-21)-10(-4),与直接系数相比,输运的交叉系数可以忽略不计,但对于高 a(O(2)) 值 (10(-2)-1),其与直接系数具有相同的数量级。这与通常的假设相反,即两种类型的载体可以独立迁移,即 L(ie) = 0。