On the conductivity mechanism of nanocrystalline ceria

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Electrochemical metallization memories—fundamentals, applications, prospects (2011, background): “The first effect is based on the fact that the chemical composition and transport properties of the grain cores may differ significantly from those of the grains [17, 18] to such an extent that they can be considered as another phase (abrupt spatial change of properties).”
Unveiling the mechanisms of cold sintering of ZnO at 250 °C by varying applied stress and characterizing grain boundaries by Kelvin Probe Force Microscopy (2018, methodology): “Hence, an approximation of the space charge potential ΔΦ, which is equivalent to the Schottky barrier height at the grain boundaries, can be calculated from the impedance spectroscopy measurements by numerically solving the following equation [28]:”