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A solar cell with engineered spectral conversion elements or components includes a single crystal silicon solar cell having a back surface. At least one spectral conversion element is formed on the back surface. The conversion element includes single crystal rare earth oxide, and the single crystal rare earth oxide is crystal lattice matched to the back surface of the silicon solar cell. Material including silicon is formed on the back surface in a surrounding and embedding relationship to the at least one spectral conversion element. A back reflector is positioned on the material formed on the back surface so as to reflect light passing through the silicon formed on the back surface.