“…To test the hypothesis that the densification of a given sample is controlled by the same diffusion mechanism during both flash and conventional sintering, the sintering rate equation 27,28 (Equation ) can be used: where dρ/d t is the densification rate, A is a material‐dependent constant, f (ρ) is a function of density, d is the grain size, n is the grain size power law, Q is the activation energy of sintering, and R is the ideal gas constant. To determine dρ/d t , the densification curves for both the flash and conventionally sintered 29 0‐9ALD samples were fit to a sigmoid function to determine ρ( t ) and numerically differentiated (Figure 9). Assuming the mechanism of densification is the same for both conventional and flash sintering (i.e., n and Q are constants) and A , f (ρ), and d are approximately constant for a given sample type, the ratio of Equation evaluated for both flash and conventional sintering at the maximum densification rates ((dρ/d t ) max ) is as follows: where (dρ/d t ) flash,max is the maximum densification rate during flash sintering at temperature T flash,max , and (dρ/dt) conv,max is the maximum densification rate during conventional sintering at temperature T conv,max .…”