Elastic Constants of Silver and Gold

Structural distortions in 5–10 nm silver nanoparticles under high pressure

“…The elastic constants, primarily the compliances, of bulk silver have been measured by several sources [30][31][32][33][34][35] -the most recent by Wolfenden et al 35 Using the expressions for calculating the Young's modulus, E, outlined in Nye 36 , Wolfenden's measurements can be presented in terms of directional Young's moduli as shown in Table II. This table illustrates that in bulk silver, the directionally-dependent Young's modulus, E, is greater in the <111> than in the <200> and <220> directions (E<111> > E<110> > E<100>). If the silver nanoparticles behaved like the bulk material, this would mean that the nanoparticles would more likely compress in the {200} direction than the {111} direction.…”

A self-consistent thermodynamic model of metallic systems. Application for the description of gold

“…On the basis of Refs. 1,8 we obtained the value κ 0 = 5.546 × 10 −12 Pa −1 . As far as the Grüneisen coefficient is concerned, we assumed the value of γ 0 D = 2.95, which is an average value from the data reported in Refs.…”

“…As far as the experimental studies of gold are concerned, they include equation of state as well as the lattice and thermodynamic properties, both in low-temperature regime [3][4][5]8 and in high temperatures and pressures as well 1,2,7,[16][17][18]36 . At the same time, the thermodynamic and vibrational properties have been studied by the theoretical methods, including specific heat calculations 20,26 , phonon dispersion relation 10,35 , interatomic interaction and density of states 25 , Debye temperatures 21,26 , Grüneisen parameter 19 , lattice constants 36,37 and equation of state 14,23,24,[28][29][30][31][32][33] .…”

“…The properties of noble metals and, in particular, of gold have intensively been studied, both experimentally [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and theoretically . The studies of gold are connected with its many technical applications, for instance, as a protective coating material, in electronics, as well as in metrology and medicine.…”

Low temperature thermal expansion of copper, silver, gold and aluminum

“…The difference is in the relative magnitudes of both the linear and T^ terms. For aluminum the ratio of A^/Ag [Equation (37)] is almost 100 times the corresponding ratio for gold and hence the electronic contribution is much easier to determine. The Figure also shows that the influence of the negative T^ term is much larger for aluminum than for gold.…”