Distinct correlation between CeO₂ and YSZ in out-of-plane and in-plane mosaic dispersions of heteroepitaxial CeO₂/YSZ/Si(001) films

The structural correlations including the lattice constants and the mosaic dispersions between CeO₂ and yttria-stabilized ZrO₂ (YSZ) in CeO₂/YSZ/Si(001) heteroepitaxial films have been investigated by out-of-plane and in-plane X-ray-diffraction techniques. The distinct linear correlations of the full width at half-maximum (FWHM) of the ω scan between CeO₂ and YSZ have been found in both directions. CeO₂ always has a 0.7° lower FWHM of the ω scan than YSZ in the out-of-plane direction, bur has a 2.6° higher FWHM in the in-plane direction. A possible relationship between the out-of-plane and in-plane FWHMs of the ω scans has been demonstrated with a lattice-rotation model. Besides, the lattice constants of CeO₂ are dependent on the FWHMs of the YSZ ω scans: as the FWHM is below 3.5°, CeO₂ has a tetragonal distortion, and as the FWHM is higher than 3.5°, CeO₂ exhibits a cubic structure without distortion. The results are of great interest, both for the fundamental understanding of the film-growth mechanisms and for potential applications.