“…Here we define "morphological quantification" as a type of numerical method that calculates certain morphological parameters from the reconstructed 3D tomography data, for quantifying certain aspects of the sample structure. These morphological parameters include, but are not limited to, phase volume fraction (including porosity) [99]- [102], surface area [100], [102]- [105], particle size distribution [106], phase connectivity [100], [104], [105], triple phase boundaries (TPB) [101], [107], tortuosity [100], [105], [108], pore throat size distributions [109], phase complexity [110], [111], channel diameter distribution [112], minimum representative volume [109], [113], fractal dimensions [102]. A selected case study, which highlights the applications of morphological quantification in the investigation of solid oxide fuel cells (SOFCs) using X-ray tomography, is discussed below.…”