Structure and Properties of Hexagonal R$_{\mathrm{x}}$MnO$_{3+d}$

Films of hexagonal Multiferroic RxMnO3$+$d (R$=$Dy and Er) have been prepared. Local atomic and electronic structure measurements have been utilized to probe the variation of properties of samples. The defect levels obtained, x $\sim$ 0.6 to x $\sim$ 1.2, correspond to systems with defect (voids) on the R sites and then the Mn sites. The spectroscopic studies are complemented by electronic structure calculations to predict the magnetic and electrical polarization properties as a function of defect level