title: Frequency analysis for modulation-enhanced powder diffraction.
abstract: Periodic modulation of external conditions on a crystalline sample with a consequent analysis of periodic diffraction response has been recently proposed as a tool to enhance experimental sensitivity for minor structural changes. Here the intensity distributions for both a linear and nonlinear structural response induced by a symmetric and periodic stimulus are analysed. The analysis is further extended for powder diffraction when an external perturbation changes not only the intensity of Bragg lines but also their positions. The derived results should serve as a basis for a quantitative modelling of modulation-enhanced diffraction data measured in real conditions.
authors.affiliation: Swiss-Norwegian Beamlines at the European Synchrotron Radiation Facility, 38000 Grenoble, France.
authors.forename: Dmitry
authors.initials: D
authors.lastname: Chernyshov
authors.affiliation: European Synchrotron Radiation Facility, 38000 Grenoble, France.
authors.forename: Vadim
authors.initials: V
authors.lastname: Dyadkin
authors.affiliation: Swiss-Norwegian Beamlines at the European Synchrotron Radiation Facility, 38000 Grenoble, France.
authors.forename: Wouter
authors.initials: W
authors.lastname: van Beek
authors.affiliation: Institute of Chemical Research of Catalonia (ICIQ), The Barcelona Institute of Science and Technology, 43007 Tarragona, Spain.
authors.forename: Atsushi
authors.initials: A
authors.lastname: Urakawa
keywords: frequency response; modulation-enhanced diffraction; periodic modulation; powder diffraction