2015
DOI: 10.1080/14786435.2015.1047427
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Electronic, elastic and dynamical properties of MgSe under pressure: rocksalt and iron silicide phase

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“…Because all the studied MX (M = Mg, Ca, Sr, and Ba and X = O, S, Se, and Te) compounds crystallize in the cubic ( Fm 3̅ m ) structure, they have three independent elastic constants such as longitudinal ( C 11 ), transverse ( C 12 ), and shear ( C 44 ) due to symmetry constraints ( C 11 = C 22 = C 33 , C 12 = C 13 = C 23 , C 44 = C 55 = C 66 , and C ij = C ji ). The calculated second-order elastic constants are given in Table S4 and are consistent with the available ultrasonic pulse echo and Brillouin scattering measurements as well as with previous first-principles calculations. ,,, The obtained elastic constants satisfy the Born stability criteria indicating the mechanical stability of all these MX (M = Mg, Ca, Sr, and Ba and X = O, S, Se, and Te) compounds. We then computed bulk ( B ) and shear ( G ) moduli from the calculated elastic constants with Voigt–Reuss–Hill (VRH) approximation using eqs and , respectively. Later, the obtained B and G values are used to calculate Young’s modulus ( E ) using eq .…”
Section: Results and Discussionsupporting
confidence: 80%
“…Because all the studied MX (M = Mg, Ca, Sr, and Ba and X = O, S, Se, and Te) compounds crystallize in the cubic ( Fm 3̅ m ) structure, they have three independent elastic constants such as longitudinal ( C 11 ), transverse ( C 12 ), and shear ( C 44 ) due to symmetry constraints ( C 11 = C 22 = C 33 , C 12 = C 13 = C 23 , C 44 = C 55 = C 66 , and C ij = C ji ). The calculated second-order elastic constants are given in Table S4 and are consistent with the available ultrasonic pulse echo and Brillouin scattering measurements as well as with previous first-principles calculations. ,,, The obtained elastic constants satisfy the Born stability criteria indicating the mechanical stability of all these MX (M = Mg, Ca, Sr, and Ba and X = O, S, Se, and Te) compounds. We then computed bulk ( B ) and shear ( G ) moduli from the calculated elastic constants with Voigt–Reuss–Hill (VRH) approximation using eqs and , respectively. Later, the obtained B and G values are used to calculate Young’s modulus ( E ) using eq .…”
Section: Results and Discussionsupporting
confidence: 80%