Methods for designing and manufacturing an integrated circuit are disclosed, in which the physical design process for a standard cell or cells utilizes a preferred diagonal direction for minimum-width patterns on at least one layer, where the standard cell or cells are used in the layout of an integrated circuit. The methods also include forming the patterns on a photomask using model-based fracturing techniques with charged particle beam simulation, and forming the patterns on a substrate such a silicon wafer using the photomask and an optical lithographic process with directional illumination which is optimized for the preferred diagonal direction.