High-pressure isothermal equation of state for materials with pressure derivative of the isothermal bulk modulus less than four

2001 ◽  
Vol 33 (2) ◽  
pp. 207-212 ◽  
Author(s):  
Jai Shanker ◽  
Sobran Kushwah
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Bulk Modulus ◽  
Isothermal Bulk Modulus ◽  
Pressure Derivative ◽  
Isothermal Equation

Equation of state and some other properties of rock-salt AlN

2018 ◽  
Vol 6 (1) ◽  
pp. 49
Author(s):  
Salah Daoud ◽  
Rabie Mezouar ◽  
Abdelfateh Benmakhlouf
Keyword(s):  
Heat Capacity ◽  
High Pressure ◽  
Equation Of State ◽  
Bulk Modulus ◽  
Temperature Dependence ◽  
Rock Salt ◽  
Thermophysical Properties ◽  
Constant Pressure ◽  
Isothermal Bulk Modulus ◽  
Pressure Derivative

The object of the present work is to study the equation of state (EOS) and the temperature dependence of the vibrational constant pressure heat capacity, the adiabatic bulk modulus Bs and the pressure derivative of the isothermal bulk modulus of cubic rock-salt Aluminum nitride under high pressure up to 100 GPa. In addition, the isothermal bulk modulus and the Debye temperature θD versus pressure at 1800 K are presented. Some structural and thermophysical properties used here are taken from our previous paper published in J. Electron. Mater. (2018) DOI: 10.1007/s11664-018-6169-x. The results obtained are analyzed and compared with other data of the literature.  

Pressure-Volume Behavior of Some Ionic Solids and Geophysical Minerals (CsBr)

2016 ◽  
Vol 28 ◽  
pp. 93-97
Author(s):  
Mehra Mahendra ◽  
Seema Rajput
Keyword(s):  
Experimental Data ◽  
High Pressure ◽  
Equation Of State ◽  
Bulk Modulus ◽  
Phenomenological Equation ◽  
Isothermal Bulk Modulus ◽  
Pressure Derivative ◽  
Ionic Solids ◽  
The Relationship ◽  
Modified Forms

Various forms of the equation of state for studying high-pressure behavior of solids have been developed by numerous investigators using phenomenological approaches. A common feature of the phenomenological equation is that they present the relationship between pressure and volume which can be expressed analytically involving two quantities only, viz Bo, B0’ respectively, the isothermal bulk modulus and its first pressure derivative, both at zero pressure. The present proposal which intend to compare the efficiency of the four equations under close examination reports the V/Vo versus P derived from the new modified forms of Murnaghan equations Birch equation (BE) and Freund-Ingalls (FIE) equation obtained for the best agreement with the available experimental data.

scholarly journals Elastic Behaviour of Diborides Under High Pressure

2009 ◽  
Vol 1 (2) ◽  
pp. 275-280
Author(s):  
Seema Gupta ◽  
S. C. Goyal
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Statistical Model ◽  
Bulk Modulus ◽  
Electron Gas ◽  
Elastic Behaviour ◽  
Pressure Derivative ◽  
First Order ◽  
Elastic Data ◽  
Quantum Statistical

The present study deals with the elastic behaviour of diborides (BeB2, MgB2 and NbB2) under high pressure with the help of equation of state (EOS) using the elastic data reported by Islam et al. It is concluded that EOS, which are based either on quantum statistical model or  pseduopotential model, only are capable of explaining high pressure behaviour of the solids under study.  Moreover the value of first order pressure derivative of bulk modulus at infinite pressure (Kinfinity) is greater than 5/3 and thus the diborides under study do not behave as Thomas-Fermi electron gas under high compression. Keywords: Equation of state; High Pressure; Diborides. © 2009 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved. DOI: 10.3329/jsr.v1i2.1189 

Compressibility of the high-pressure polymorph of AlOOH to 17 GPa

2009 ◽  
Vol 73 (3) ◽  
pp. 479-485 ◽  
Author(s):  
A. Suzuki
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Neutron Diffraction ◽  
Bulk Modulus ◽  
Diffraction Study ◽  
Neutron Diffraction Study ◽  
X Ray Diffraction ◽  
Pressure Derivative ◽  
X Ray ◽  
A Value

AbstractThe equation of state of δ-AlOOH was investigated using powder X-ray diffraction up to 17 GPa. Measurement of the volume at 300 K gave a value of the bulk modulus of K0 = 124(2) GPa, whereas its pressure derivative was K’ = 13.5(7). The b axis of the unit cell is more compressible than the a and c axes – in agreement with a neutron diffraction study at high pressure by Sano-Furukawa et al. (2008). Measurements presented here show that δ-AlOOH has a compressibility 200% higher than in the previously reported equation of state by Vanpeteghem et al. (2002).

Isothermal bulk modulus and its first pressure derivative of NaCl at high pressure and high temperature

2012 ◽  
Vol 21 (3) ◽  
pp. 037103 ◽  
Author(s):  
Ting Song ◽  
Xiao-Wei Sun ◽  
Zi-Jiang Liu ◽  
Jian-Feng Li ◽  
Jun-Hong Tian
Keyword(s):  
High Pressure ◽  
High Temperature ◽  
Bulk Modulus ◽  
Isothermal Bulk Modulus ◽  
Pressure Derivative

Equation of state of polycrystalline Ni50Al50

1997 ◽  
Vol 12 (11) ◽  
pp. 3106-3108 ◽  
Author(s):  
J. W. Otto ◽  
J. K. Vassiliou ◽  
G. Frommeyer
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Bulk Modulus ◽  
Diamond Anvil Cell ◽  
Inert Gas ◽  
X Ray Diffraction ◽  
Pressure Derivative ◽  
X Ray ◽  
High Pressure Studies ◽  
Diamond Anvil

Polycrystalline Ni50Al50 suitable for high pressure studies was prepared by grinding and subsequent annealing of an inert-gas atomized alloy. The equation of state was determined by energy-dispersive x-ray diffraction in a diamond anvil cell to 25 GPa. The bulk modulus Bo and the pressure derivative of the bulk modulus B′o were found to be Bo = 156 ± 3 GPa and B′o = 4.0 ± 0.5.

Analysis of a new two-parameter equation of state for MgO

2011 ◽  
Vol 89 (6) ◽  
pp. 709-712 ◽  
Author(s):  
Quan Liu
Keyword(s):  
Numerical Analysis ◽  
Equation Of State ◽  
Bulk Modulus ◽  
Potential Theory ◽  
First Principles ◽  
High Pressures ◽  
Isothermal Bulk Modulus ◽  
Pressure Derivative ◽  
Parameter Equation ◽  
Two Parameter

In this paper, a new two-parameter equation of state (EOS) is developed on the basis of lattice potential theory. The expressions are also obtained for isothermal bulk modulus and its pressure derivative. Numerical analysis is presented for MgO at high pressures (up to 260 GPa) and high temperatures (up to 2000 K). Results based on the new EOS are found to compare well with the corresponding values derived from a first principles approach.

Equation of state of phase E

2000 ◽  
Vol 64 (3) ◽  
pp. 561-567 ◽  
Author(s):  
W. A. Crichton ◽  
N. L. Ross
Keyword(s):  
Equation Of State ◽  
Bulk Modulus ◽  
Magnesium Silicate ◽  
Volume Data ◽  
X Ray Diffraction ◽  
Interlayer Cation ◽  
Third Order ◽  
Pressure Derivative ◽  
Cell Parameters ◽  
Isothermal Equation

AbstractThe isothermal equation of state (EoS) of phase E, Mg1.96(7)Fe0.072(5)Si1.04(5)H3.7(8)O6, has been determined using high-pressure single-crystal X-ray diffraction. A third-order Birch Murnaghan EoS fit to pressue-volume data collected from room pressure and temperature to 6.7 GPa reveals that phase E has the lowest bulk modulus, KT = 92.9(7) GPa, and highest pressure derivative of the bulk modulus, K' = 7.3(2), for any dense hydrous magnesium silicate (DHMS) yet measured. A parameterized third-order Birch-Murnaghan EoS was also fit to the unit-cell parameters which display significant curvature with increasing pressure. This analysis shows that the c-axis (Kc = 89.1(10) GPa) is 6% more compressible than the a-axis (Ka = 94.8(6) GPa), with little of the anisotropy commonly observed in other layered structures. The high K' is indicative of the similarity to layers of the brucite structure. The introduction of interlayer cation polyhedra to the structure serves to reduce both the anisotropy, by reducing the compressibility perpendicular to the sheets, and the ability to shear, by increasing the coherence between layers.

scholarly journals Thermal properties of cubic zincblende thallium-phosphide from quasi-harmonic Debye model approximation

2017 ◽  
Vol 5 (1) ◽  
pp. 14 ◽  
Author(s):  
Salah Daoud
Keyword(s):  
High Pressure ◽  
Thermal Properties ◽  
Bulk Modulus ◽  
Unit Cell Volume ◽  
Theoretical Data ◽  
Debye Model ◽  
Zero Temperature ◽  
Isothermal Bulk Modulus ◽  
Model Approximation ◽  
First Order

The thermal properties of cubic zincblende (B3) thallium - phosphide (TlP) compound under high pressure up to 12 GPa have been studied using the quasi-harmonic Debye model approximation. The relative unit cell volume, the isothermal bulk modulus, the first order derivative isothermal bulk modulus, the Debye temperature and the Grüneisen parameter are studied at zero-temperature and at standard ambient temperature (298 K) respectively. Our obtained values of the different previous quantities are in general in agreement compared to other theoretical data of the literature.

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