2002
DOI: 10.1103/physrevb.65.092106
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Elastic stability and electronic structure of fcc Ti, Zr, and Hf: A first-principles study

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Cited by 120 publications
(52 citation statements)
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“…We find that the fcc structures of all investigated elements except Zn and bcc Zr are elastically stable, while most bct minima are unstable except those of the fourth group elements, bct Ti (c/a = 0.86), bct Zr (c/a = 0.82), and bct Hf (c/a = 0.85). The elastic stability of the fcc structures of Sc, Ti, Co, Y, Zr, Tc, Ru, Hf, Re, and Os [45,[48][49][50][51][52][53], the elastic stability of bct Zr [45] as well as the elastic instability of bct Co, fcc and bct Zn [24] was reported previously in accordance with the findings of the present work. There is, however, a discrepancy on the elastic stability of bcc Zr and bct Ti.…”
Section: A Elements With Stable Hcp Structuresupporting
confidence: 92%
“…We find that the fcc structures of all investigated elements except Zn and bcc Zr are elastically stable, while most bct minima are unstable except those of the fourth group elements, bct Ti (c/a = 0.86), bct Zr (c/a = 0.82), and bct Hf (c/a = 0.85). The elastic stability of the fcc structures of Sc, Ti, Co, Y, Zr, Tc, Ru, Hf, Re, and Os [45,[48][49][50][51][52][53], the elastic stability of bct Zr [45] as well as the elastic instability of bct Co, fcc and bct Zn [24] was reported previously in accordance with the findings of the present work. There is, however, a discrepancy on the elastic stability of bcc Zr and bct Ti.…”
Section: A Elements With Stable Hcp Structuresupporting
confidence: 92%
“…It was suggested that the transformation occurred as a means to reduce the intrinsic stresses formed during alloy processing. Finally, FCC Ti has been theoretically shown to exist by Aguayo et al using first principles calculations [20] and by Xiong et al using a Gibb's free energy calculation [21]. Xiong et al's calculations showed that the FCC phase was thermodynamically stable in Ti nanoparticles with diameters below~27 nm at elevated temperatures (~882°C).…”
Section: Introductionmentioning
confidence: 99%
“…1(d) for shorter film deposition period. It may be mentioned that based on elastic stability criterion, the possibility of a locally stable fcc Ti phase was proposed earlier [11]. In the last section of the paper, stability of hcp Ti phase in polycrystalline Ti thin films has been considered from a thermodynamic point of view.…”
Section: Thickness Dependence: Polycrystalline Thin Filmsmentioning
confidence: 99%
“…both contraction and expansion of lattice) has been reported in ultra-thin nanocrystalline Ni thin films [10]. Such lattice contraction or lattice expansion arising due to certain stress fields (without going into the debate of the origin of stress existing in the literature) inside the grains leads to change of specific volume (volume/atom) of the lattice which may cause lattice instability due to the change in the total energy of the lattice structure [1,6,11]. Fig.…”
Section: Thickness Dependence: Polycrystalline Thin Filmsmentioning
confidence: 99%