1995
DOI: 10.1103/physrevb.51.9526
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Vacancy-formation energies for fcc and bcc transition metals

Abstract: We have performed first-principles total-energy calculations for vacancy-formation energies in six bcc (V, Cr, Nb, Mo, Ta, W) and six fcc (Ni, Cu, Pd, Ag, Pt, Au) transition metals within the local-density approximation of the density-functional theory. The calculations are done using the full-potential linear-mufBn-tin-orbital method employing the supercell technique. The calculated vacancy-formation energies are in good agreement with experiments especially for the fcc metals, but in the case of V and Cr the… Show more

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Cited by 154 publications
(66 citation statements)
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“…The electronic structure inside the vacancy converges quite rapidly because of the very efficient electronic screening in metals. 28 This can be seen from Fig. 6, in which the difference between the total number of electrons and the nuclear charge is plotted as a function of the supercell size for the vacancy sphere and for the nearest-neighbor atomic shell.…”
Section: Fig 2 Calculated Positron Lifetimes For the Cu Vacancy As mentioning
confidence: 99%
“…The electronic structure inside the vacancy converges quite rapidly because of the very efficient electronic screening in metals. 28 This can be seen from Fig. 6, in which the difference between the total number of electrons and the nuclear charge is plotted as a function of the supercell size for the vacancy sphere and for the nearest-neighbor atomic shell.…”
Section: Fig 2 Calculated Positron Lifetimes For the Cu Vacancy As mentioning
confidence: 99%
“…For example, the vacancy formation energy is experimentally 1.03 eV, 26) 1.19 eV, 27) or 1.30 eV 28) for Cu, in contrast to 0.68 eV for Al (52{66% of Cu), 29) which are well reproduced by recent ab initio calculations. 6,7,30) Recent ab initio calculations also indicate that the surface energy of Cu (110) is 0.901 eV per surface atom in contrast to 0.708 eV (78%) for Al(110). 31,32) Thus the present results of the smaller boundary energies for Al than for Cu are consistent with other types of defect energies.…”
Section: Comparison Between Al and Cumentioning
confidence: 99%
“…Recently it was reported that thermodynamic properties of nanocrystals, such as cohesion energy [10,11], Debye temperature [10,12,13], activation energy of diffusion [14,15], vacancy formation energy [16,17] etc. display also size dependence.…”
Section: Introductionmentioning
confidence: 99%