Abstract: Package structures and methods for manufacturing the same are provided. The package structure includes a first bump structure formed over a first substrate. The first bump structure includes a first pillar layer formed over the first substrate and a first barrier layer formed over the first pillar layer. In addition, the first barrier layer has a first protruding portion laterally extending outside a first edge of the first pillar layer. The package structure further includes a second bump structure bonded to the first bump structure through a solder joint. In addition, the second bump structure includes a second pillar layer formed over a second substrate and a second barrier layer formed over the second pillar layer. The first protruding portion of the first barrier layer is spaced apart from the solder joint.

Abstract: A method for establishing a scattering bar rule for a mask pattern for fabricating a device is provided. The method is described as follows. First, at least one image simulation model is established according to the mask pattern and a process reference set used for fabricating the device based on the mask pattern. Next, a plurality of scattering bar reference sets is applied to the image simulation model so as to generate a plurality of simulation images, respectively. Further, a portion of the simulation images are selected to be a plurality of candidate layouts according to a screening criterion. Next, one of the candidate layouts is determined to be a pattern layout according to a selection rule, and the scattering bar reference set corresponding to the pattern layout is determined to be a scattering bar rule of the mask pattern.

Abstract: A method for establishing a scattering bar rule for a mask pattern for fabricating a device is provided. The method is described as follows. First, at least one image simulation model is established according to the mask pattern and a process reference set used for fabricating the device based on the mask pattern. Next, a plurality of scattering bar reference sets is applied to the image simulation model so as to generate a plurality of simulation images, respectively. Further, a portion of the simulation images are selected to be a plurality of candidate layouts according to a screening criterion. Next, one of the candidate layouts is determined to be a pattern layout according to a selection rule, and the scattering bar reference set corresponding to the pattern layout is determined to be a scattering bar rule of the mask pattern.