2010
DOI: 10.1103/physrevb.82.134110
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Oxygen and nitrogen interstitial ordering in hcp Ti, Zr, and Hf: Anab initiostudy

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Cited by 46 publications
(30 citation statements)
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“…S2). The stoichiometries Hf 6 N and Hf 3 N were never reported by experiments, while previous MonteCarlo simulations [36] predicted the existence of Hf 6 N and Hf 3 N, and also indicated that the groundsate of Hf 6 N was P31c-Hf 6 N while the Hf 3 N belonged to R3c or P 6 3 22-Hf 3 N. Our calculations, with or without considering the zero point energy (ZPE), both not only showed that P31c-Hf 6 N is the most stable (note the free energy P31c-Hf 6 N is slightly lower than that of R3-Hf 6 N), but also indicated P 6 3 22-Hf 3 N is more stable that R3c-Hf 3 N at low pressures. Unlike P 4 2 /mnm-Ti 2 N (the stable phase for Ti 2 N at 0 GPa), Hf 2 N is more energetically favorable in an orthorhombic phase (space group: Pnnm); this Pnnm-Hf 2 N transforms to Cmcm-Hf 2 N at 12.5 GPa and Cmcm-Hf 2 N continues to be stable up to 55 GPa ( Fig.…”
mentioning
confidence: 78%
“…S2). The stoichiometries Hf 6 N and Hf 3 N were never reported by experiments, while previous MonteCarlo simulations [36] predicted the existence of Hf 6 N and Hf 3 N, and also indicated that the groundsate of Hf 6 N was P31c-Hf 6 N while the Hf 3 N belonged to R3c or P 6 3 22-Hf 3 N. Our calculations, with or without considering the zero point energy (ZPE), both not only showed that P31c-Hf 6 N is the most stable (note the free energy P31c-Hf 6 N is slightly lower than that of R3-Hf 6 N), but also indicated P 6 3 22-Hf 3 N is more stable that R3c-Hf 3 N at low pressures. Unlike P 4 2 /mnm-Ti 2 N (the stable phase for Ti 2 N at 0 GPa), Hf 2 N is more energetically favorable in an orthorhombic phase (space group: Pnnm); this Pnnm-Hf 2 N transforms to Cmcm-Hf 2 N at 12.5 GPa and Cmcm-Hf 2 N continues to be stable up to 55 GPa ( Fig.…”
mentioning
confidence: 78%
“…At temperatures between (about) 300°C and 900°C various ordered phases have been reported [5]. Octahedral interstitial ordering of oxygen increases the microhardness [58] and embrittlement [74], and therefore, promotes stress corrosion cracking. However, as it will be demonstrated later, oxygen can be very beneficial for reducing the hydrogen uptake under certain conditions, [71].…”
Section: Suboxides Of Zirconiummentioning
confidence: 99%
“…It has been suggested that the solubility of oxygen in the octahedral interstitial sites of α-Hf (hcp-Hf) can be as high as 20 at.% [8], while solubility of oxygen in β-Hf (bcc-Hf) is only 3 at.% [9]. Several experimental [10,11] and theoretical studies [12,13] have investigated the interstitial oxygen in hcp-Hf. Now it is well established that three stoichiometric compositions Hf 6 O, Hf 3 O and Hf 2 O can be formed with increasing occupation of the octahedral-interstitial positions in hcp-Hf by oxygen atoms.…”
Section: Introductionmentioning
confidence: 99%