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Importance of outliers: A three-dimensional study of coarsening in 
α
-phase iron

Grain coarsening behavior in an α-phase iron sample is studied in three dimensions using high energy x-ray diffraction microscopy. 4971 grains that are entirely inside the sample are segmented in the initial state and 3905 remain after annealing. A matching procedure was used to track 3299 grains between the two states while the remainder were either consumed by neighbors or the tracking algorithm failed to correlate them. During the single annealing treatment, the average grain volume increased by 13%. Statistical analysis in each state yields subtle changes in the grain size and nearest neighbor number distributions. Correlating topological features with volume changes between states, the average behavior is seen to be consistent with an isotropic model of curvature driven coarsening, but the dispersion of volume changes in each topological class is comparable to the overall trend in the average behaviors. Thus, the topological characterizations used here are not predictive of the behavior of individual grains under the isotropic assumption. Examination of anecdotal cases allows understanding of some outliers but others appear counter to an isotropic theory.