Figure 1

(Color online) Evolution of the Debye temperature ${\theta }_D$ and the Grüneisen parameter ${\gamma }_D$ for two Mie–Grüneisen–Debye (MGD) models (see text).Reuse & Permissions

Figure 2

Top: Atomic volume of neon at $298\mathrm{K}$ as a function of pressure [H05 scale (Ref. 21)]. The solid line is a fit to the current experimental data with the MGD model presented in the text. The data from Refs. 26, 27, modified to follow the H05 pressure calibration, are represented for comparison. Bottom: Difference in volume between the experimental data points and the fit.Reuse & Permissions

Figure 3

(Color online) Volume and isothermal bulk modulus measured in Ref. 33 and calculated using the present Mie–Grüneisen–Debye model.Reuse & Permissions

Figure 4

(Color online) (a) Variation of the atomic volume of neon with temperature and pressure along six isotherms: 298, 500, 600, 750, 900, and $1000\mathrm{K}$. The isotherms have been stopped at the melting point (Ref. 17). The $298\mathrm{K}$ compression curve (see Fig. 2) has been subtracted from the measured volumes in order to emphasize the temperature effect. The squares represent the present data points. The double triangles represent the data points measured by Fei et al. (Ref. 28) at $1000\mathrm{K}$. The lines are the volumes calculated using the two Mie–Grüneisen–Debye models considered in this study (see text). (b) Difference between the measured pressure and the pressure calculated using the first Mie–Grüneisen–Debye model (the vertical axis has been split).Reuse & Permissions

Figure 5

(Color online) $P\text{−}V\text{−}T$ data points for diamond as measured in this study and as reported in Refs. 4, 12. The continuous line corresponds to a Vinet EoS with $V_0=5.6693{\mathrm{\AA }}^3∕\mathrm{at.}$, $K_0=444.5\mathrm{GPa}$ and $K_0^{\prime }=4.18$.Reuse & Permissions

Figure 6

(Color online) Variations of the atomic volume of diamond with temperature and pressure along five isotherms: 298, 500, 600, 750, and $900\mathrm{K}$. The $298\mathrm{K}$ compression curve (parameters presented in Table ) has been subtracted from the measured volumes in order to clearly represent the temperature effect. The squares represent the present data points. The circles are the volumes measured at ambient pressure (Ref. 12). (a) Comparison between experimental data points and the EoSs presented in this study. The solid lines labeled “MGD model” have been calculated using Eqs. (6, 2, 3), with the parameters determined from least-squares fit of the present data (Table , third row). The dashed-dotted lines are the volumes calculated using the Raman-based Debye model (Table , fourth row). (b) Comparison between experimental data points and the EoSs published in the literature. The solid line corresponds to the quasiharmonic model X99, with ab initio calculated vibration modes frequencies (Ref. 3). The dotted line corresponds to the semiempirical anharmonic model DO07 (Ref. 11). The dashed lines correspond to the empirical model FH00 (Ref. 10).Reuse & Permissions

Figure 7

(Color online) Bulk modulus of diamond as a function of temperature at ambient pressure. The thick black line corresponds to the DO07 EoS (Ref. 11), which perfectly reproduces the Brillouin scattering data up to $1600\mathrm{K}$ (Ref. 13). The thin black line corresponds to X99 ab initio model (Ref. 3). The red (gray) dashed-dotted line corresponds to the Raman-based Debye model, while the red (gray) dashed line corresponds to the Debye model that reproduces at best our $P\text{−}V$ data points (Table , third row).Reuse & Permissions