Supplement Number 1

the effect of air annealing on film mosaicity and rc, effective refractive index along in-plane c-axis and m-axis, dependence of rc on film thickness and Mg or Li content, rc for the different films with respect to the strain along out-of-plane a-axis, and the details of first-principle calculations on charge density distributions in ZnO and ZnO:Li with y=0.14