Multi-q Modulated Structures and Their Diffraction Patterns

Abstract

Using a statistical approach, the average unit cells and the average Patterson functions have be constructed for modulated structures with different types of modulations. Universal probability distributions and autocorrelation functions for different lengths of the modulation vector have been found. Such universal behaviour allows to distinguish between differently modulated structures directly from the experimentally obtained average Patterson function.

Keywords:

• Modulated structures
• Patterson analysis
• average unit cell