Ge nanocrystals ͑NCs͒ are shown to form within HfO 2 at relatively low annealing temperatures ͑600-700°C͒ and to exhibit characteristic photoluminescence ͑PL͒ emission consistent with quantum confinement effects. After annealing at 600°C, sample implanted with 8.4 ϫ 10 15 Ge cm −2 show two major PL peaks, at 0.94 and 0.88 eV, which are attributed to no-phonon and transverse-optical phonon replica of Ge NCs, respectively. The intensity reaches a maximum for annealing temperatures around 700°C and decreases at higher temperatures as the NC size continues to increase. The no-phonon emission also undergoes a significant redshift for temperatures above 800°C. For fluences in the range from 8.4ϫ 10 15 to 2.5ϫ 10 16 cm −2 , the average NC size increases from ϳ13.5Ϯ 2.6 to ϳ20.0Ϯ 3.7 nm. These NC sizes are much larger than within amorphous SiO 2. Implanted Ge is shown to form Ge NCs within the matrix of monoclinic ͑m͒-HfO 2 during thermal annealing with the orientation relationship of ͓101͔m-HfO 2 / /͓110͔Ge NC.