In a lithographic process, product units such as semiconductor wafers are subjected to lithographic patterning operations and chemical and physical processing operations. Alignment data or other measurements are made at stages during the performance of the process to obtain object data representing positional deviation or other parameters measured at points spatially distributed across each unit. This object data is used to obtain diagnostic information by performing a multivariate analysis to decompose a set of vectors representing the units in the multidimensional space into one or more component vectors. Diagnostic information about the industrial process is extracted using the component vectors. The performance of the industrial process for subsequent product units can be controlled based on the extracted diagnostic information.

In a lithographic process, product units such as semiconductor wafers are subjected to lithographic patterning operations and chemical and physical processing operations. Alignment data or other measurements are made at stages during the performance of the process to obtain object data representing positional deviation or other parameters measured at points spatially distributed across each unit. This object data is used to obtain diagnostic information by performing a multivariate analysis to decompose a set of vectors representing the units in the multidimensional space into one or more component vectors. Diagnostic information about the industrial process is extracted using the component vectors. The performance of the industrial process for subsequent product units can be controlled based on the extracted diagnostic information.

A method and associated computer program for predicting an electrical characteristic of a substrate subject to a process. The method includes determining a sensitivity of the electrical characteristic to a process characteristic, based on analysis of electrical metrology data including electrical characteristic measurements from previously processed substrates and of process metrology data including measurements of at least one parameter related to the process characteristic measured from the previously processed substrates; obtaining process metrology data related to the substrate describing the at least one parameter; and predicting the electrical characteristic of the substrate based on the sensitivity and the process metrology data.

A method for electron beam-induced processing of a defect of a microlithographic photomask, including the steps of: a) providing an activating electron beam at a first acceleration voltage (EHT1) and a process gas in the region of a defect of the photomask for the purpose of repairing the defect, and b) producing at least one image of the photomask, in which the region of the defect is captured at least in part, by providing an electron beam at at least one second acceleration voltage (e.g., EHT2, EHT3, EHT4) which differs from the first acceleration voltage (EHT1), for the purpose of determining a quality of the repaired defect.

In a lithographic process, product units such as semiconductor wafers are subjected to lithographic patterning operations and chemical and physical processing operations. Alignment data or other measurements are made at stages during the performance of the process to obtain object data representing positional deviation or other parameters measured at points spatially distributed across each unit. This object data is used to obtain diagnostic information by performing a multivariate analysis to decompose a set of vectors representing the units in the multidimensional space into one or more component vectors. Diagnostic information about the industrial process is extracted using the component vectors. The performance of the industrial process for subsequent product units can be controlled based on the extracted diagnostic information.

The system includes a radiation source, a diffractive element, an optical system, a detector, and a processor. The radiation source generates radiation. The diffractive element diffracts the radiation to generate a first beam and a second beam. The first beam includes a first non-zero diffraction order and the second beam includes a second non-zero diffraction order that is different from the first non-zero diffraction order. The optical system receives a first scattered beam and a second scattered radiation beam from a target structure and directs the first scattered beam and the second scattered beam towards a detector. The detector generates a detection signal. The processor analyzes the detection signal to determine a target structure property based on at least the detection signal. The first beam is attenuated with respect to the second beam or the first scattered beam is purposely attenuated with respect to the second scattered beam.

Disclosed is a method of determining a performance parameter or a parameter derived therefrom, the performance parameter being associated with a performance of a lithographic process for forming one or more structures on a substrate subject to the lithographic process. The method comprises obtaining a probability description distribution comprising a plurality of probability descriptions of the performance parameter, each probability description corresponding to a different position on the substrate and decomposing each probability description into a plurality of component probability descriptions to obtain a plurality of component probability description distributions. A component across-substrate-area model is determined for each of said plurality of component probability descriptions, which models its respective component probability description across a substrate area; and a value for said performance parameter or parameter derived therefrom is determined based on the component across-substrate-area models.

An overlay mark forming a Moire pattern, an overlay measurement method using the overlay mark, an overlay measurement apparatus using the overlay mark, and a manufacturing method of a semiconductor device using the overlay mark are provided. The overlay mark for measuring an overlay based on an image is configured to determine a relative misalignment between at least two pattern layers. The overlay mark includes a first overlay mark including a pair of first grating patterns which has a first pitch along a first direction and which is rotationally symmetrical by 180 degrees, and includes a second overlay mark including a pair of second grating patterns and a pair of third grating patterns. The second grating patterns partially overlap the first grating patterns and are rotationally symmetrical by 180 degrees, and the third grating patterns partially overlap the first grating patterns and are rotationally symmetrical by 180 degrees.

Provided are a method of selecting multi-wavelengths for overlay measurement, for accurately measuring overlay, and an overlay measurement method and a semiconductor device manufacturing method using the multi-wavelengths. The method of selecting multi-wavelengths for overlay measurement includes measuring an overlay at multiple positions on a wafer at each of a plurality of wavelengths within a set first wavelength range, selecting representative wavelengths that simulate the overlay of the plurality of wavelengths, from among the plurality of wavelengths, and allocating weights to the representative wavelengths, respectively.

A method for determining a value representative of a state transition temperature of a resist structure, formed of a resist material and having predetermined dimensions, on an underlayer material includes: receiving data earlier obtained, the data representing a correlation between a second value for a measure representative of a spatial feature of at least one resist structure of each of a plurality of entities after applying a heat treatment, and a temperature at which the heat treatment is applied, each entity comprising the at least one resist structure, formed of the resist material and having the predetermined dimensions before the heat treatment, on the underlayer material, and wherein the measure has a first value before the heat treatment, and determining, from the correlation, the value representative of the state transition temperature when the heat treatment would be performed at such temperature, the second value differs by a predetermined amount from the first value.