Zirconium alloys have a strong affinity for hydrogen which leads to hydrogen pick-up during a corrosion reaction when exposed to water. The hydrogen is readily in solution at higher temperature but precipitates as Zirconium hydrides at ambient temperatures. At least three phases are known to exist at ambient temperature depending on hydrogen concentration and quenching rate. However, some controversy exist regarding the exact nature and stability of the γ-ZrH phase, which is closely related to the δ-ZrH phase through ordering of the hydrogen on tetrahedral sites in the matrix. In this report, we give short introduction to our experimental work at FRM II in September 2010. In this work, we use high-resolution neutron powder diffraction on deuterated samples to re-determine and verify the reported structures which essentially date back to the 1960s [1].