2020
DOI: 10.1016/j.jmgm.2019.107509
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A first principles investigation on the influence of transition-metal elements on the structural, mechanical, and anisotropic properties of CaM2Al20 intermetallics

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Cited by 45 publications
(11 citation statements)
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“…[42][43][44] Naturally, the dynamically stability of a solid is examined by the phonon dispersion curves. [45][46][47] The thermodynamically stability of a solid is calculated by the formation enthalpy (ΔH), [48][49][50][51] which is given by:…”
Section: Models and Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…[42][43][44] Naturally, the dynamically stability of a solid is examined by the phonon dispersion curves. [45][46][47] The thermodynamically stability of a solid is calculated by the formation enthalpy (ΔH), [48][49][50][51] which is given by:…”
Section: Models and Methodsmentioning
confidence: 99%
“…Naturally, the dynamically stability of a solid is examined by the phonon dispersion curves 45‐47 . The thermodynamically stability of a solid is calculated by the formation enthalpy (Δ H ), 48‐51 which is given by: normalΔH)(NiPt=12)(Etotal)(NiPtENiEPt where E total (NiPt), E Ni and E Pt are the calculated total energy of NiPt, Ni and Pt, respectively.…”
Section: Models and Methodsmentioning
confidence: 99%
“…This explains why Al 3 Ta has the highest hardness. In view of nine compounds, the shapes of TDOS for Al 3 It is obvious that the TDOS at the Fermi level for Al3Sc, Al3Ti, Al3V, Al3 Al3Nb, Al3La, Al3Hf and Al3Ta are 3.43, 4.25, 1.99, 3.59, 3.85, 1.30, 4.65, 3.71, and trons/eV, respectively. The TDOS curve in Figure 9 also shows the pseudogap which is due to the electron transfer to the low energy region.…”
Section: Electronic Structuresmentioning
confidence: 99%
“…The calculated lattice constant (a, c in Å), density (ρ, g/cm3 ), volume (Å 3 ), ∆Hr (eV/atom) and Ecoh (eV/atom) of the Al 3 TM compounds.…”
mentioning
confidence: 99%
“…Taking into account that the AEs are considered to be a form of microseismicity, it is reasonable to assume that tools used for the analysis of earthquakes could also be used to analyse the AE activity after proper modifications [10][11][12][13]. In this direction, assuming that the fracture phenomena which instigate the creation of both earthquakes and AEs, although at different scales, are non-linear procedures of intricate dynamical systems during their non-equilibrium stationary states-one may even consider them as phase transitions-are governed by multi-fractality, self-similar structure, exhibiting large scale correlations and memory effects; the use of advance statistical tools is advocated, instead of the classical statistical physics [14][15][16][17][18][19][20]. Non-extensive statistical mechanics (NESM) introduced by Tsallis [21][22][23][24][25], based on the principle of entropy have been proven a reliable statistical framework for analysing intricate dynamical systems such as the fracture mechanisms responsible for the generation of earthquakes and AEs.…”
Section: Introductionmentioning
confidence: 99%