“…[18,19] For these concave cubes with different highindex {hk0} facets, the concavity angles differed, but they were far smaller than 458 (e.g., 318 for {530}, 268 for {210}, and 228 for {520} facets; see Table S1). [20,21] Therefore, the presented cubic NCs do not simply have a common concave structure with {hk0} high-index facets but an excavated structure with {110} facets (Figure 1e 1 , f 1 ).The excavated cubic structure of the as-prepared NCs was further confirmed by analyzing TEM images recorded in other orientations. As shown in Figure 1c 2 -f 2 , in the case of the [011] zone axis, the angle between the internal profile of the projected concave nanocrystal and its external profile is 358, which is in perfect agreement with that of the corresponding model and the perspective projected along the same direction.…”