Third-order Birch-Murnaghan equation

Figure 2.15 Pressure-volume data for diamond, SiC>2-stishovite, MgSiC>3 and 8102-quartz based on third order Birch-Murnaghan equation of state descriptions. The isothermal bulk modulus at 1 bar and 298 K are given in the figure.

Volumetric data for four different substances represented by the third-order Birch-Murnaghan equation of state are shown in Figure 2.15. 

Table 3.5 Parameters of the third-order Birch-Murnaghan equations of states of a three unit-ceii-based atomic modeisofthe spinei-structured Ca303N that have the lowestenergy calculated within the LDA >.

Fig. 4.16 More detailed examination of the V(P) relations for Sijss clathrate using a third-order Birch-Murnaghan equation of state and linearized Eulerian strain variables (F-f plot) gave a bulk modulus Kq = 90(3) GPa and its pressure derivative Kd = 5.2(8) (from [96])...

If the pressure volume equations of state is given by the two parameter third-order, Birch-Murnaghan, Uj = 0-... 

Fig. 12.13 Pressure-volume equation of state for amorphous GeSe2. Experimental compression in a hydrostatic medium, a 4 1 methanoEethanol mixture [79] solid black circles)-, simulation data from [83] red open diamond)-, third-order isothermal Birch-Murnaghan equation of state fit to the experimental compression data solid black line)...

Table 2 shows the bulk modulus (K,) and its pressure derivative obtained by a third order fit to the Birch-Murnaghan s equation of state, of the calculated volume versus pressure relation for the orthorhombic (Pbnm) and cubic (Pm3m) phases. The Pbnm s Ko is within the range spanned by inter-laboratory measurements. 

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