Experimental results on the pressure dependence of the Grüneisen parameter: A review

Boehler, R.; Ramakrishnan, J.

doi:10.1029/jb085ib12p06996

Cited by 150 publications

(40 citation statements)

References 26 publications

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“…In the late 1970's authors using (6) or its variants demonstrated that for temperatures below 6) but above room temperature, q>l for many minerals; a typical value was 1.5. Examples of the value of q taken from low pressure experiments are found in Boehler and Ramakrishnan (1980) at that time. There was insufficient thermodynamic information to find out whether q itself was a variable: its possible volume dependence was out of reach.…”

Section: T = --(1/c~kr)(c~kt/g T)v = (G In E/(3 In V)tmentioning

confidence: 97%

A thermodynamic theory of the Gr�neisen ratio at extreme conditions: MgO as an example

et al. 1993

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Abstract. The Griineisen ratio, 7, is defined as = o:K T V/C v .The volume dependence of 7(V) is solved for a wide range in temperature. The volume dependence of C~KT is solved from the identityis the thermal expansivity; KT is the bulk modulus; C v is specific heat; and 6r and K' are dimensionless thermoelastic constants. The approach is to find values of 6T and K', each as functions of T and V. We also solve for q = (0 In 7/0 In V) whereCalculations are taken down to a compression of 0.6, thus covering all possible values pertaining to the earth's mantle, q = ~ In 7/0 in V; 6T = 0 In a/O In V; and K' = (OKT/OP)T. New experimental information related to the volume dependence of 6T, q, K' and C v was used. For MgO, as the compression, t/= V/Vo, drops from 1.0 to 0.7 at 2000 K, the results show that q drops from 1.2 to about 0.8; 6T drops from 5.0 to 3.2; 6T becomes slightly less than K'; 0 In Cv/O in V~0; and ? drops from 1.5 to about 1. These observations are all in accord with recent laboratory data, seismic observations, and theoretical results.

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Section: T = --(1/c~kr)(c~kt/g T)v = (G In E/(3 In V)tmentioning

confidence: 97%

A thermodynamic theory of the Gr�neisen ratio at extreme conditions: MgO as an example

et al. 1993

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“…The parameter q is often assumed to be a constant, for example, 0.6 for bcc Fe 52 , and 0.7-1.62 for hcp Fe depending on the pressure range and measuring methods 53 . However, our calculations show that q is both temperature and pressure dependent [ Fig.…”

Section: Lattice Dynamicsmentioning

confidence: 99%

Lattice dynamics and thermodynamics of bcc iron under pressure: First-principles linear response study

Sha

Cohen

2006

Phys. Rev. B

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We compute the lattice-dynamical and thermal equation of state properties of ferromagnetic bcc iron using the first principles linear response linear-muffin-tin-orbital method in the generalizedgradient approximation. The calculated phonon dispersion and phonon density of states, both at ambient and high pressures, show good agreement with inelastic neutron scattering data. We find the free energy as a function of volume and temperature, including both electronic excitations and phonon contributions, and we have derived various thermodynamic properties at high pressure and temperature. The thermal equation of state at ambient temperature agrees well with diamond-anvil-cell measurements. We have performed detailed investigations on the behavior of various thermal equation of state parameters, such as the bulk modulus K, the thermal expansivity α, the Anderson-Grüneisen parameter δ T , the Grüneisen ratio γ, and the heat capacity C V as function of temperature and pressure. A detailed comparison has been made with available experimental measurements, as well as results from similar theoretical studies on nonmagnetic bcc Tantalum. PACS number(s): 05.70. Ce, 64.30.+t, 71.20.Be 1

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“…Previously reported values for α-iron are 1.7 [25] and 1.69 [26]. C VO at 1 bar, 1573 K is calculated from C PO using:…”

Section: Phase Determinationsmentioning

confidence: 99%

High Pressure and High Temperature Equation-of-State of Gamma and Liquid Iron

Chen

Ahrens

1997

MRS Proc.

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Shock-wave experiments on pure iron preheated to 1573 K were conducted in the 17-73 GPa range. The shock-wave equation of state of γ-iron at an initial temperature of 1573 K can be fit with u s = 4.102 (0.015) km/s + 1.610(0.014) u p with ρ o = 7.413±0.012 Mg/m 3 . We obtain for γ-iron's bulk modulus and pressure derivative the values: 124.7±1.1 GPa and 5.44±0.06, respectively.We present new data for sound velocities in the γ-and liquid-phases. In the γ−phase, to a first approximation, the longitudinal sound velocity is linear with respect to density: V p = -3.13 (0.72) + 1.119(0.084) ρ(units for V p and ρ are km/s and Mg/m 3 , respectively).

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Experimental results on the pressure dependence of the Grüneisen parameter: A review

Cited by 150 publications

References 26 publications

A thermodynamic theory of the Gr�neisen ratio at extreme conditions: MgO as an example

A thermodynamic theory of the Gr�neisen ratio at extreme conditions: MgO as an example

Lattice dynamics and thermodynamics of bcc iron under pressure: First-principles linear response study

High Pressure and High Temperature Equation-of-State of Gamma and Liquid Iron

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