Abstract: Methods for determining parameters of a semiconductor material, for example, non-classical substrates such as silicon-on-insulator (SOI) substrates, strained silicon-on-insulator (sSOI) substrates, silicon-germanium-on-insulator (GeOI) substrates, and strained silicon-germanium-on-insulator (sGeOI) substrates are described. The method provides steps for transforming data corresponding to the semiconductor material from real space to reciprocal space. The critical points are isolated in the reciprocal state and corresponding critical energies of the critical points are determined. The difference between the critical energies may be used to determine a thickness of a layer of the semiconductor material, in particular, a quantum confined layer.

Abstract: Methods and systems for determining a charge trap density between a semiconductor material and a dielectric material are disclosed. In one respect, spectroscopic data of the semiconductor material may be determined and used to determine a change in dielectric function. A line shape fit of the change in the dielectric function may be applied using derivative function form. The amplitude of the line shape fit may be determined and used to determine an electric field of a space charge region of the semiconductor material. By applying Poisson's equations, the scalar potential due to the electric field in the space charge region may be determined. Subsequently, using the scalar potential the charge trap density may be determined.

Abstract: Methods for determining parameters of a semiconductor material, in particular non-classical substrates such as silicon-on-insulator (SOI) substrates, strained silicon-on-insulator (sSOI) substrates, silicon-germanium-on-insulator (GOI) substrates, and strained silicon-germanium-on-insulator (sGeOI) substrates. The method provides steps for transforming data corresponding to the semiconductor material from real space to reciprocal space. The critical points are isolated in the reciprocal state and corresponding critical energies of the critical points are determined. The difference between the critical energies may be used to determine a thickness of a layer of the semiconductor material, in particular, a quantum confined layer.

Abstract: Methods for characterizing a semiconductor material using optical metrology are disclosed. In one respect, a electromagnetic radiation source may be directed in a direction substantially parallel to patterns on a semiconductor material. A polarized spectroscopic reflectivity may be obtained, and a critical point data may be determined. Using the critical point data, physical dimensions of the patterns may be determined. In other respects, using optical metrology techniques, a critical point data relating to electron mobility may be determined.

Abstract: Methods and systems for determining a charge trap density between a semiconductor material and a dielectric material are disclosed. In one respect, spectroscopic data of the semiconductor material may be determined and used to determine a change in dielectric function. A line shape fit of the change in the dielectric function may be applied using derivative function form. The amplitude of the line shape fit may be determined and used to determine an electric field of a space charge region of the semiconductor material. By applying Poisson's equations, the scalar potential due to the electric field in the space charge region may be determined. Subsequently, using the scalar potential the charge trap density may be determined.