A method and system for fracturing or mask data preparation or optical proximity correction or proximity effect correction or mask process correction is disclosed in which a set of shaped beam shots is determined that is capable of forming a pattern on a surface, where the set of shots provides different dosages to different parts of the pattern, and where the dose margin from the set of shots is calculated. A method for forming patterns on a surface is also disclosed.

A method and system for: forming a first rectangular shape with photomask writing equipment, using a first sub-threshold dosage on a photoresist layer of a photomask substrate; forming an overlapping second rectangular shape with the photomask writing equipment using a second sub-threshold dosage on the photoresist layer, the second rectangular shape being rotated relative to the first rectangular shape to form one of: a hexagonal overlap area and an octagonal overlap area, that exposes the photoresist layer to at least a threshold dosage; and forming a photomask, based on developing the exposed photoresist layer, to provide optical transmission corresponding to the one of: the hexagonal overlap area of at least the threshold dosage and the octagonal overlap area of at least the threshold dosage, for use by a photolithography system to write any of a contact, a via, or a curvilinear shape on an integrated circuit substrate.

A method and system for: forming a first rectangular shape with photomask writing equipment, using a first sub-threshold dosage on a photoresist layer of a photomask substrate; forming an overlapping second rectangular shape with the photomask writing equipment using a second sub-threshold dosage on the photoresist layer, the second rectangular shape being rotated relative to the first rectangular shape to form one of: a hexagonal overlap area and an octagonal overlap area, that exposes the photoresist layer to at least a threshold dosage; and forming a photomask, based on developing the exposed photoresist layer, to provide optical transmission corresponding to the one of: the hexagonal overlap area of at least the threshold dosage and the octagonal overlap area of at least the threshold dosage, for use by a photolithography system to write any of a contact, a via, or a curvilinear shape on an integrated circuit substrate.

A method and system for fracturing or mask data preparation or optical proximity correction or proximity effect correction or mask process correction is disclosed in which a set of shaped beam shots is determined that is capable of forming a pattern on a surface, where the set of shots provides different dosages to different parts of the pattern, and where the dose margin from the set of shots is calculated. A method for forming patterns on a surface is also disclosed.

A method and system for fracturing or mask data preparation or optical proximity correction or proximity effect correction or mask process correction is disclosed in which a set of shaped beam shots is determined that is capable of forming a pattern on a surface, where the set of shots provides different dosages to different parts of the pattern, and where the dose margin from the set of shots is calculated. A method for forming patterns on a surface is also disclosed.

In a method for fracturing or mask data preparation or mask process correction for charged particle beam lithography, a plurality of shots are determined that will form a pattern on a surface, where shots are determined so as to reduce sensitivity of the resulting pattern to changes in beam blur (.sub.f). In some embodiments, the sensitivity to changes in .sub.f is reduced by varying the charged particle surface dosage for a portion of the pattern. Methods for forming patterns on a surface, and for manufacturing an integrated circuit are also disclosed, in which pattern sensitivity to changes in .sub.f is reduced.