Large semiconductor crystals have intrinsic electronic properties dependent upon the bulk band structure

We address the possibility of a shift in the photochemical redox potential of one carrier, as a function of crystallite size

One might expect a shift on the order of h2/8em*R2 due to the kinetic energy of localization in the small crystallite

We model the elementary quantum mechanics of a charged crystallite using the effective mass approximation, an electrostatic potential for dielectric polarization, and penetration of the carrier outside the crystallite in a cases of small effective mass

The carrier charge density reside near the crystallite surface if the effective mass is very small

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