A shaping apparatus that shapes a composition on a substrate by using a mold, includes a substrate positioning mechanism for positioning the substrate, a mold positioning mechanism for positioning the mold, a dispenser for arranging the composition on a shot region of the substrate, and a gas supply for supplying a gas onto the substrate from a gas supply port in a state in which the substrate is driven by the substrate positioning mechanism. A flow rate of the gas supplied onto the substrate by the gas supply starts to decrease in a period during which the substrate is driven by the substrate positioning mechanism so that the shot region where the composition is arranged by the dispenser is moved under the mold.

A method of determining a position of a feature (for example an alignment mark) on an object (for example a silicon wafer) is disclosed. The method comprises determining an offset parameter, determining the second position; and determining a first position from the second position and the offset parameter, the position of the mark being the first position. The offset parameter is a measure of a difference in: a first position that is indicative of the position of the feature; and a second position that is indicative of the position of the feature. The offset parameter may be determined using a first measurement apparatus and the second position may be determined using a second, different measurement apparatus.

A method of measuring overlay uses a plurality of asymmetry measurements from locations (LOI) on a pair of sub-targets (1032, 1034) formed on a substrate (W). For each sub-target, the plurality of asymmetry measurements are fitted to at least one expected relationship (1502, 1504) between asymmetry and overlay, based on a known bias variation deigned into the sub-targets. Continuous bias variation in one example is provided by varying the pitch of top and bottom gratings (P1/P2). Bias variations between the sub-targets of the pair are equal and opposite (P2/P1). Overlay (OV) is calculated based on a relative shifht (xs) between the fitted relationships for the two sub-targets. The step of fitting asymmetry measurements to at least one expected relationship includes wholly or partially discounting measurements (1506, 1508, 1510) that deviate from the expected relationship and/or fall outside a particular segment of the fitted relationship.

The invention relates to a method for measuring a photomask for semiconductor lithography, including the following steps: recording an aerial image of at least one region of the photomask, defining at least one region of interest, ascertaining structure edges in at least one region of interest, providing desired structures to be produced by the photomask, adapting the ascertained structure edges to the desired structures, and displacing the adapted structure edges by means of the results of a separate registration measurement.

A method for determining one or more optimized values of an operational parameter of a sensor system configured for measuring a property of a substrate. The method includes: determining a quality parameter for a plurality of substrates; determining measurement parameters for the plurality of substrates obtained using the sensor system for a plurality of values of the operational parameter; comparing a substrate to substrate variation of the quality parameter and a substrate to substrate variation of a mapping of the measurement parameters; and determining the one or more optimized values of the operational parameter based on the comparing.

A method of measuring overlay uses a plurality of asymmetry measurements from locations (LOI) on a pair of sub-targets (1032, 1034) formed on a substrate (W). For each sub-target, the plurality of asymmetry measurements are fitted to at least one expected relationship (1502, 1504) between asymmetry and overlay, based on a known bias variation deigned into the sub-targets. Continuous bias variation in one example is provided by varying the pitch of top and bottom gratings (P1/P2). Bias variations between the sub-targets of the pair are equal and opposite (P2/P1). Overlay (OV) is calculated based on a relative shift (xs) between the fitted relationships for the two sub-targets. The step of fitting asymmetry measurements to at least one expected relationship includes wholly or partially discounting measurements (1506, 1508, 1510) that deviate from the expected relationship and/or fall outside a particular segment of the fitted relationship.

Reducing an alignment error of an imprint lithography template with respect to a substrate includes locating central alignment marks of the template with respect to corresponding central alignment marks of the substrate and locating peripheral alignment marks of the template with respect to corresponding peripheral alignment marks of the substrate. In-plane alignment error of the template is assessed based on relative positions of central alignment marks of the template and corresponding central alignment marks of the substrate. A combined alignment error of the template is assessed based on relative positions of peripheral alignment marks of the template and corresponding peripheral alignment marks of the substrate. Out-of-plane alignment error of the template is assessed based on a difference between the-combined and the in-plane alignment error of the template, and a relative position of the template and the substrate is adjusted to reduce the out-of-plane alignment error of the template.

A position detection apparatus configured to detect a pattern including a plurality of pattern elements formed on an object includes a control unit configured to detect the pattern by performing pattern matching between a template including a plurality of feature points and the plurality of pattern elements. While, performing pattern matching, the control unit changes positions of the plurality of feature points such that a correlation between an image and the template is within a predetermined allowable range.

An apparatus for determining information relating to at least one target alignment mark in a semiconductor device substrate. The target alignment mark is initially at least partially obscured by an opaque carbon or metal layer on the substrate. The apparatus includes an energy delivery system configured to emit a laser beam for modifying at least one portion of the opaque layer to cause a phase change and/or chemical change in the at least one portion that increases the transparency of the portion. An optical signal can propagate through the modified portion to determine information relating to the target alignment mark.

A method for determining one or more optimized values of an operational parameter of a sensor system configured for measuring a property of a substrate is disclosed the method including: determining a quality parameter for a plurality of substrates; determining measurement parameters for the plurality of substrates obtained using the sensor system for a plurality of values of the operational parameter; comparing a substrate to substrate variation of the quality parameter and a substrate to substrate variation of a mapping of the measurement parameters; and determining the one or more optimized values of the operational parameter based on the comparing.