Particle and Particle Systems Characterization

Small-angle scattering (SAS) is the premier technique for the characterization of disordered nanoscale particle ensembles. SAS is produced by the particle as a whole and does not depend in any way on the internal crystal structure of the particle. Since the first applications of X-ray scattering in the 1930s, SAS has developed into a standard metho

Inhalt

Scattering experiment and structure functions; particles and the correlation function of small-angle scattering. Chord length distribution densities of selected elementary geometric figures. Chord length distributions of infinitely long cylinders. Particle-to-particle interference - a useful tool. Scattering patterns and structure functions of Boolean models. The "Dead Leaves" model. Tessellations, fragment particles and puzzles. Volume fraction of random two-phase samples for a fixed order range L from (r,L). Interrelations between the moments of the chord length distributions of random two-phase systems. Exercises on problems of particle characterization: examples.