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1. The stability of reduced cerium oxide in ambient conditions is demonstrated through the use of block copolymer templating to create well-defined, crystalline cerium oxide nanodots with a hexagonal arrangement mimicking that of the polymer nanopattern.

2. The redox chemistry of ceria and its interconversion between Ce3+ and Ce4+ is critical in defining its various applications, and reduction occurs through the formation of anion vacancy defects.

3. The sesquioxide type structure of ceria, which is difficult to form via reduction and rapidly oxidizes to ceria on exposure to air, may exhibit enhanced stability at small dimensions, but definitive proof is limited due to material variations, preparation dependence, and sensitivity to characterization techniques.

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