2008
DOI: 10.1016/j.commatsci.2008.04.002
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Electronic structure, elasticity and hardness of diborides of zirconium and hafnium: First principles calculations

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Cited by 150 publications
(87 citation statements)
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“…Quite a number of theoretical studies of the electronic properties of the diborides are known to date [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Ivanovskii et al [9] performed full potential linear muffin-tin orbital (FP-LMTO) calculations of all hexagonal diborides of 3d (Sc, Ti, ..., Fe), 4d (Y, Zr, ..., Ru), and 5d (La, Hf, ..., Os) metals and analyzed the variations in their chemical stability and some other properties (e.g., melting temperatures, enthalpies of formation).…”
Section: Introductionmentioning
confidence: 99%
“…Quite a number of theoretical studies of the electronic properties of the diborides are known to date [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Ivanovskii et al [9] performed full potential linear muffin-tin orbital (FP-LMTO) calculations of all hexagonal diborides of 3d (Sc, Ti, ..., Fe), 4d (Y, Zr, ..., Ru), and 5d (La, Hf, ..., Os) metals and analyzed the variations in their chemical stability and some other properties (e.g., melting temperatures, enthalpies of formation).…”
Section: Introductionmentioning
confidence: 99%
“…Burdett et al, 35 on the basis of orbital overlap, indicated the importance of the interaction of orbitals of the metal with those of a graphite-like net of boron atoms as well as the interaction with those of other metals in influencing the properties of these species. The bonding nature, elastic property and hardness were investigated by Zhang et al 47 for ZrB 2 using the plane-wave pseudopotential method. The stiffness and the thermal expansion coefficient of ZrB 2 were calculated using the density functional theory formalism by Milman et al in Ref.…”
Section: Introductionmentioning
confidence: 99%
“…32,33 First-principles calculations of the electronic structure of diborides have been widely presented. [25][26][27]30,[34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51] Despite a lot of publications, there are still many open questions related to the electronic structure and physical properties of transition metal diborides. Ihara et al 27 calculated the band structure and the density of states (DOS) of ZrB 2 by using an augmented plane wave method.…”
Section: Introductionmentioning
confidence: 99%
“…Lattice dynamical effects are considered, including phonon dispersions, vibrational densities of states, and specific heat curves. The bonding nature, elastic property and hardness are investigated by Zhang et al [11] for HfB 2 using the first principles total-energy plane-wave pseudopotential (PW-PP) method. They also reported the elastic anisotropy, Poisson ratio, hardness, and Debye temperature in HfB 2 .…”
Section: Introductionmentioning
confidence: 99%