Structure engineering has proven to be an effective strategy for improving the catalytic performance and reducing the cost of ruthenium oxide‐based catalysts toward oxygen evolution reactions (OER). Herein, a polyhedron‐shaped yolk‐shell structure composed of zinc‐cobalt‐ruthenium ternary metal alloy oxide (ZnCo‐RuO2/C) is prepared, by taking advantage of the Kirkendall effect. The yolk‐shell frame and the ensembled metal oxide nanoparticles are 116.9 ± 25.9 nm and 3.1 ± 0.7 nm in diameter, respectively. The porous yolk‐shell structure of ZnCo‐RuO2/C exposes abundant active sites and facilitates mass transfer for OER. Theoretical calculations indicate that ZnCo‐RuO2 may break the linear scaling relationship for the OER intermediates and dramatically reduces the energy barrier of the potential determining step, which may be one of the factors that are responsible for the enhanced OER performance of ZnCo‐RuO2/C. In 1 m KOH aqueous electrolyte, ZnCo‐RuO2/C delivers an overpotential of only 180 mV at 10 mA cm−2 and a Tafel slope of 63 mV dec−1, superior to that of single metal‐doped, pristine and commercial RuO2. As an anode catalyst of zinc‐air batteries, ZnCo‐RuO2/C exhibits improved power density and durability relative to commercial RuO2, very promising for practical application.
We give some improved convergence results about the smoothing-regularization approach to mathematical programs with vanishing constraints (MPVC for short), which is proposed in Achtziger et al. (2013). We show that the Mangasarian-Fromovitz constraints qualification for the smoothing-regularization problem still holds under the VC-MFCQ (see Definition 5) which is weaker than the VC-LICQ (see Definition 7) and the condition of asymptotic nondegeneracy. We also analyze the convergence behavior of the smoothing-regularization method and prove that any accumulation point of a sequence of stationary points for the smoothing-regularization problem is still strongly-stationary under the VC-MFCQ and the condition of asymptotic nondegeneracy.
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