“…34−36 We have demonstrated in a few studies that the structural heterogeneity can be distilled by the K-means clustering analysis on the Raman mapping. 37,38 The basic idea of K-means clustering algorithm 39 is to partition the total number of Raman spectra (denoted as m) (x 1 , x 2 , x 3 , ..., x n ) within the Raman mapping into K sets (K ≤ n), S = [S 1 , S 2 , S 3 , ..., S k ], to minimize the within-cluster sum of squares, defined by the objective function, J as where c i is the mean of points (or centroid). In this case, it means the cluster spectrum in the K set S i .…”