This study presents atomic scale characterization of grain boundary defect structure in a functional oxide with implications for a wide range of electrochemical and electronic behavior. Indeed, grain boundary engineering can alter transport and kinetic properties by several orders of magnitude. Here we report experimental observation and determination of oxide-ion vacancy concentration near the...

We consider three different non–overlapping germ–grain models, two of which are constructed in a similar fashion. These two models are generalisations of Matérn’s hard–core models. In both cases we start with a homogeneous Poisson process and use the points as centres of convex sets, grains, of the same shape. The process is thinned so that no grains overlap. Two different thinning schemes resu...

The reduction of the grain size down to the nm regime has opened new and fascinating avenues for research in several aspects of materials science, including mechanical properties. In recent years large efforts, both experimental and computational, have been made to understand the deformation mechanisms at the nanoscale. Computer simulations suggest both grain boundary accommodation mechanisms a...

Nanocrystalline materials have experienced a great deal of attention in recent years, largely due to their impressive array of physical properties. In particular, nanocrystalline mechanical behavior has been of interest, as incredible strengths are predicted when grain size is reduced to the nanometer range. The vast majority of research to this point has focused on quantifying and understandin...