Quantitative analysis of defects and domain boundaries in mesoporous SBA-16 films

Some quantitative structural analyses on defects and domain boundaries observed in SBA-16 films were performed using the lattice concept and geometric phase method. These analyses show that there exist low angle, high angle and translational anti-phase domain boundaries in SBA-16 films. While some of the domain boundaries bear analogue to those found in normal solid crystals, others are similar to that found in the liquid crystals. In particular near Σ11 and Σ13b high angle boundaries were observed. On the one hand the Σ11 boundaries were found to exist with or without steps (ledge) associated with them depending on whether or not the boundary plane is parallel to the densely packed lattice plane. On the other hand segments of the boundary plane in the Σ13b boundary were found being always associated with densely packed lattice plane, with the {0 1 1} type of lattice plane in one domain being parallel to the {1 1 2} type of plane in the other domain. The translational domain boundary was observed to have a translation vector having a projected component of (1/2) 〈1 1 0〉 on the (1 1 1) plane. The bending deformation similar to that found in the nematics liquid crystal was also observed and quantitatively analyzed using the geometric phase method, and rotational field associated with the deformation was identified.