Quasi-elastic light scattering at the order-disorder phase transitions of NH4Cl and NH4Br

Abstract
The authors report measurements of quasi-elastic light scattering associated with ammonium reorientation at the order-disorder phase transitions in NH4Cl and NH4Br as a function of temperature and hydrostatic pressure. NH4Cl and NH4Br show respectively 'ferro' and 'antiferro' ammonium order at low temperatures and zero pressure. The scattering shows critical divergence in NH4Br where the soft mode is associated with the M points of the Brillouin zone but not in NH4Cl where the soft mode is at the Gamma point. A theory of the quasi-elastic scattering cross section is developed in which the main scattering mechanism is a second-order process involving two ammonium reorientational excitations of equal and opposite wavevectors and the dominant contributions are from M points of the zone. This is an extension of theories that successfully predict the disorder-induced Raman spectra and it gives a good description of the main features of the quasi-elastic scattering.