David Avnir

TL;DR: Fractal dimension D as discussed by the authors is a global measure of surface irregularity, which labels an extremely heterogeneous surface by a value far from two, and it implies that any monolayer on such a surface resembles three-dimensional bulk rather than a two-dimensional film because the number of adsorption sites within distance l from any fixed site, grows as lD.

TL;DR: Rhodamine 6G was embedded in a matrix of silica gel glass by the sol-to-gel technique as discussed by the authors, and its photostability and non-leachability were discussed in comparison with other solid environments, such as adsorption on powders and within porous glasses, thin films, and doping of plastic matrices.

TL;DR: Textures are classified based on the change in their properties with changing resolution, and the relation of a texture picture to its negative, and directional properties are discussed.

TL;DR: In this article, the concept of the continuous shape measures is summarized and the derived tools, the shape maps and the path deviation functions are described, the main stereochemical trends that have been deduced from the application of such tools to more than 23,000 crystallographically independent fragments of coordination numbers between four and eight are also summarized.