Search for Sub lattice Disorder in CaCu$_{3}$Ti$_{4}$O$_{12}$

One of the proposed mechanisms for the Internal Barrier Dielectric Capacitance believed to be responsible for the giant dielectric response of the perovskite material CaCu$_{3}$Ti$_{4}$O$_{12}$ is that of sub lattice disorder on the Ca and Cu sites.~ Such disorder should have measurable affects on both the intensity and shape of the Bragg peaks of different symmetries.~ We investigate the possible existence of such disorder through high resolution charge density maps, based on a large dataset of x-ray and electron diffraction integrated intensity measurements, and, separately, peak shape measurements on a restricted set of reflections. Supported by the U.S. Department of Energy.