A method of growing high quality crystalline films on lattice-mismatched or amorphous layers is presented allowing semiconductor materials that would normally be subject to high stress and cracking to be employed allowing cost reductions and/or performance improvements in devices to be obtained. Catalysis of the growth of these films is based upon utilizing particular combinations of metals, materials, and structures to establish growth of the crystalline film from a predetermined location. The subsequent film growth occurring in one or two dimensions to cover a predetermined area of the amorphous or lattice-mismatched substrate. Accordingly the technique can be used to either cover a large area or provide tiles of crystalline material with or without crystalline film interconnections.