2019
DOI: 10.1080/14786435.2019.1631499
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The first Brillouin zone of the hexagonal close-packed structure and study on the properties of vacancies and phonon dispersions by the improved ones of the modified analytic embedded atom method potentials for Ru, Sc, Ti, Y, and Zr

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Cited by 7 publications
(10 citation statements)
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“…The small fluctuations in the interatomic force are reflected in highfrequency vibrational modes, such as optical modes. The deviation of optical phonon frequency is more significant when calculate the materials with HCP structure using empirical model, because it is difficult to accurately fit c/a ratio [44,45]. On the other hand, the empirical model can not accurately describe the atomic environment with strong electronic bonds.…”
Section: Anharmonic Phonon Propertiesmentioning
confidence: 99%
“…The small fluctuations in the interatomic force are reflected in highfrequency vibrational modes, such as optical modes. The deviation of optical phonon frequency is more significant when calculate the materials with HCP structure using empirical model, because it is difficult to accurately fit c/a ratio [44,45]. On the other hand, the empirical model can not accurately describe the atomic environment with strong electronic bonds.…”
Section: Anharmonic Phonon Propertiesmentioning
confidence: 99%
“…In the EAM, the total energy expression with the correction term for the atomic system is as the following [13][14][15][16][17][18][19][20][21][22]:…”
Section: Total Energy Expression and Main Functions In Eammentioning
confidence: 99%
“…Zhang et al [15] proposed the modified analytic embedded atom method (MAEAM) by adding an analytic correction term to the total energy expression to represent the difference between the actual total energy of a system of atoms and that calculated from the original EAM in a similar way to Pasianot et al [13] and adopting the analytic forms of the pair potential and the atomic electron density function in a similar way to Johnson [4]. MAEAM has been applied to many physical properties such as structure stability, point-defect, vibration and thermodynamics of metals [15][16][17][18][19][20][21][22].…”
Section: Introductionmentioning
confidence: 99%
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