Abstract:A B S T R A C TFull-potential linearized augmented plane-wave method with the generalized gradient approximation for the exchange-correlation potential was applied for comparative study of elastic and electronic properties of six cubic thorium pnictides ThPn and Th 3 Pn 4 , where Pn = P, As, and Sb. Optimized lattice parameters, theoretical density, independent elastic constants (C ij ), bulk moduli (B), shear moduli (G), Young's moduli (Y), and Poisson's ratio (ν) were obtained for the first time and analyzed… Show more
“…The optical conductivity spectrum and dielectric response of thorium monopnictides were calculated with the LMTO method (Kumar & Auluck, 2003). The elastic properties of thorium monopnictides, monochalcogenides and tetrapnictides were studied with the LAPW method by Shein et al (2007) and Shein & Ivanovskii (2010). Recently, first-principles calculations of vibrational and structural properties of ThN up to 100 GPa were studied, and a phonon softening under pressure was predicted to occur (Modak & Verma, 2011).…”
High-pressure study of binary thorium compounds from first principles theory and comparisons with experiment Kanchana, V.; Vaitheeswaran, G.; Svane, A.; Heathman, S.; Gerward, Leif; Olsen, J. Staun
“…The optical conductivity spectrum and dielectric response of thorium monopnictides were calculated with the LMTO method (Kumar & Auluck, 2003). The elastic properties of thorium monopnictides, monochalcogenides and tetrapnictides were studied with the LAPW method by Shein et al (2007) and Shein & Ivanovskii (2010). Recently, first-principles calculations of vibrational and structural properties of ThN up to 100 GPa were studied, and a phonon softening under pressure was predicted to occur (Modak & Verma, 2011).…”
High-pressure study of binary thorium compounds from first principles theory and comparisons with experiment Kanchana, V.; Vaitheeswaran, G.; Svane, A.; Heathman, S.; Gerward, Leif; Olsen, J. Staun
“…It is well known that the knowledge of elastic constants is essential for many practical applications related to the mechanical properties of a solid: load deflection, thermoelastic stress, internal strain, sound velocities and fracture toughness [1]. The elastic properties of crystal materials have been investigated by both theoretical calculations and experimental methods [2][3][4][5]. Theoretically, first-principles calculations and the embedded-atom method potential have become useful tools for studying the mechanical properties of crystal materials; see, e.g., [2][3][4][5].…”
Section: Introductionmentioning
confidence: 99%
“…The elastic properties of crystal materials have been investigated by both theoretical calculations and experimental methods [2][3][4][5]. Theoretically, first-principles calculations and the embedded-atom method potential have become useful tools for studying the mechanical properties of crystal materials; see, e.g., [2][3][4][5]. Experimentally, elastic constants of bulk materials can be derived from the sound velocities for acoustic phonon modes [5].…”
Using the embedded-atom method potential, the energy and elastic constants of Ni nanoparticles are investigated as a function of size. It is found that a simple formula derived from the total energy can be used to explain the change characteristics of the size-dependent energy and C11 and C44 of Ni nanoparticles. The change characteristics of the size-dependent C12 are slightly different from the situation of C11 and C44 and they perhaps depend on its strain character when the nanoparticle is larger than ∼2.0 nm in size. It is also found that a transition occurs from a fast change of these size-dependent properties to a slow one. Such a transition occurs at ∼1.5 nm in size for the nanoparticles, i.e. the energy and elastic constants of Ni nanoparticles show approximately no change as long as their size is larger than 2 nm. It is also demonstrated that when the size of the nanoparticle is large enough (>20 nm) the calculated elastic constants and the cohesive energy are in agreement with those of their respective bulk counterpart.
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