For (V 1−x Al x ) 1−y N y an extensive and theoretically unexplained spread in experimentally obtained elastic moduli ranging from 254 to 599 GPa is reported in literature. To identify its origin, the effect of chemical composition (0 ⩽ x ⩽ 0.75), non-metal to metal ratio (N/Mratio: 0.48 ⩽ y ⩽ 0.52), and stress state (−6 ⩽ σ ⩽ 2 GPa) on the elastic modulus at room temperature is studied sytematically by density functional theory employing the Debye-Grüneisen model. As the Al concentration is increased from x = 0 to x = 0.75, strong Al-N sp 3 d 2 hybridization causes an increase in elastic modulus of 26%. The effect of the N/M-ratio on the elastic properties is also Al content dependent. As y is increased from y = 0.50 to y = 0.52, decreasing bond distance upon vacancy formation causes an anomalous increase in the elastic modulus of 6% for V 1−y N y , while a decrease in elastic modulus of up to 5% occurs for (V 1−x Al x ) 1−y N y . A stress state variation from +2 to −6 GPa increases the elastic modulus e.g. for (V 0.5 Al 0.5 ) 0.5 N 0.5 by 70 GPa and hence 13% due to shifts in density of states towards lower energies implying bond strengthening. Thus, it is suggested that the extensive spread of 58% in reported elastic moduli for (V 1−x Al x ) 1−y N y can at least in part be rationalized based on variations in chemical composition, off-stoichiometry induced point defects, and stress state.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.