Equations of State for CaSiO₃ perovskite

	K0	K'0	V0	a 0	(¶ P/¶ T)V	(¶ KT/¶ T)V	(¶ KT/¶ T)P	(¶ a /¶ P)T	(¶ a /¶ T)P	(¶ 2P/¶ T2)V
	(Gpa)	(fixed)	(Å3)	(10-5/K)	(10-3Gpa/K)	(Gpa/K)	(Gpa/K)	(10-7Gpa/K)	(10-8/K2)	(GPa2/K2)
Isothermal room temp	232(8)	[4.8]	45.58(4)(8)	-	-	-	-		-	-
isobaric	-	[4.8]	-	3.23(2)	7.2	0.008	-0.028	-5.24(19)	[0]	-
Isochoric	-	[4.8]	-	3.1	7.2(3)	-0.004	-0.031	-5.8	-	-
TP EoS (1)	223(7)	[4.8]	45.60(5)	3.23	7.5(5)	0.005(22)	-0.031	-5.7	0.36	[0]
TP EoS (2)	229(4)	[4.8]	45.61(2)	3.01	6.9(1)	[0]	-0.033	-6.3	0.43	[0]
TP EoS (3)	233(9)	[4.8]	45.58(4)	3.06	7.1(1)	[0]	-0.034	-6.4	0.44	[0]
H-T BM EoS (0)	[232]	[4.8]	[45.58]	3.55(18)	8.2	0.004	-0.036(8)	-6.7	[0]	[0]
H-T BM EoS (1)	[232]	[4.8]	[45.58]	3.06(14)	7.1	0.012	-0.022(10)	-4.1	[0]	[0]
H-T BM EoS (2)	[232]	[4.8]	[45.58]	3.19(48)	7.4	0.001	-0.035(15)	-6.5	0.45(40)	[0]

* parameters in square brackets are held fixed during the regression;

High temperature results use the room-temperature 3rd-order Birch-Murnaghan equation of state

in which the room temperature parameters K₀ and K'₀ are replaced by their high-temperature counterparts:

K_T and K'_T and V₀ is replaced by V_T.

We call this the high-temperature Birch-Murnaghan equation of state.