Citations (99)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (10)
James D. McHardy, Christian V. Storm, Matthew J. Duff, Simon G. MacLeod & Malcolm I. McMahon. (2023) On the creation of thermal equations of state for use in Dioptas. High Pressure Research 43:1, pages 40-57.
Read now
Read now
Guoyin Shen, Yanbin Wang, Agnes Dewaele, Christine Wu, Dayne E. Fratanduono, Jon Eggert, Stefan Klotz, Kamil F. Dziubek, Paul Loubeyre, Oleg V. Fat’yanov, Paul D. Asimow, Tsutomu Mashimo & Renata M. M. Wentzcovitch. (2020) Toward an international practical pressure scale: A proposal for an IPPS ruby gauge (IPPS-Ruby2020). High Pressure Research 40:3, pages 299-314.
Read now
Read now
M. Hallajisany, Jamal Zamani & J. Albelda Vitoria. (2019) Numerical and theoretical determination of various materials Hugoniot relations based on the equation of state in high-temperature shock loading. High Pressure Research 39:4, pages 666-690.
Read now
Read now
C. Loose & J. Kortus. (2013) Systematic study of the influence of different equations of states on the calculation of elastic properties†. High Pressure Research 33:3, pages 622-632.
Read now
Read now
Wilfried
B. Holzapfel. (2010) Equations of state for Cu, Ag, and Au and problems with shock wave reduced isotherms. High Pressure Research 30:3, pages 372-394.
Read now
Read now
Wilfried
B. Holzapfel & Malcolm
F. Nicol. (2007) Refined equations of state for Cu, Ag, and Au in the sub-TPa region. High Pressure Research 27:4, pages 377-392.
Read now
Read now
A. C. Lawson, D. P. Butt, J. W. Richardson & Ju Li. (2007) Thermal expansion and atomic vibrations of zirconium carbide to 1600 K. Philosophical Magazine 87:17, pages 2507-2519.
Read now
Read now
W.
B. Holzapfel. (2005) Effects of intrinsic anharmonicity in the Mie–Grüneisen equation of state and higher order corrections. High Pressure Research 25:3, pages 187-203.
Read now
Read now
WilfriedB. Holzapfel. (2005) Progress in the realization of a practical pressure scale for the range 1–300 GPa. High Pressure Research 25:2, pages 87-99.
Read now
Read now
W.B. Holzapfel, W. Sievers & M. Hartwig. (2000) New constraints on gruneisen parameters applications to equations of state for pressure markers. High Pressure Research 19:1-6, pages 341-345.
Read now
Read now
Articles from other publishers (89)
Christine J. Wu, Lorin X. Benedict, Philip C. Myint, Sebastien Hamel, Carrie J. Prisbrey & James R. Leek. (2023) Wide-ranged multiphase equation of state for iron and model variations addressing uncertainties in high-pressure melting. Physical Review B 108:1.
Crossref
Crossref
C. V. Storm, J. D. McHardy, M. J. Duff, S. G. MacLeod, E. F. O’BannonIIIIII & M. I. McMahon. (2023) The stress state in bismuth to 298 GPa and its use as a pressure transmitting medium and pressure marker at multi-megabar pressures. Journal of Applied Physics 133:24.
Crossref
Crossref
Bo-Yuan Ning. (2022) Pressure-induced structural phase transitions of zirconium: an ab initio study based on statistical ensemble theory. Journal of Physics: Condensed Matter 34:50, pages 505402.
Crossref
Crossref
Malcolm I McMahon, Sarah E Finnegan, Edward J Pace, Christian V Storm, Michael G Stevenson, Simon G Macleod, Evgeny Plekhanov, Nicola Bonini & Cedric Weber. (2022) New structural systematics in the lanthanide elements at high pressure. Bulletin of Materials Science 45:4.
Crossref
Crossref
S. E. Finnegan, M. G. Stevenson, E. J. Pace, C. V. Storm, J. D. McHardy, M. I. McMahon, S. G. MacLeod, E. Plekhanov, N. Bonini & C. Weber. (2022) High-pressure structure of praseodymium revisited: In search of a uniform structural phase sequence for the lanthanide elements. Physical Review B 105:17.
Crossref
Crossref
Eduardo Lozano & Tariq D. Aslam. (2022) A robust three-parameter reference curve for condensed phase materials. Journal of Applied Physics 131:1.
Crossref
Crossref
Linli Zhu. (2021) Theoretical insight of strengthening and hardening behavior in ultrafine-grained metals under high pressure. Physics Letters A 414, pages 127638.
Crossref
Crossref
Wilfried B. Holzapfel & Stefan Klotz. (2021)
Coherent thermodynamic model for ice I
h
—A model case for complex behavior
. The Journal of Chemical Physics 155:2.
Crossref
Crossref
C. V. Storm, J. D. McHardy, S. E. Finnegan, E. J. Pace, M. G. Stevenson, M. J. Duff, S. G. MacLeod & M. I. McMahon. (2021) Behavior of rubidium at over eightfold static compression. Physical Review B 103:22.
Crossref
Crossref
S. E. Finnegan, C. V. Storm, E. J. Pace, M. I. McMahon, S. G. MacLeod, E. Plekhanov, N. Bonini & C. Weber. (2021) High-pressure structural systematics in neodymium up to 302 GPa. Physical Review B 103:13.
Crossref
Crossref
M. G. Stevenson, E. J. Pace, C. V. Storm, S. E. Finnegan, G. Garbarino, C. W. Wilson, D. McGonegle, S. G. Macleod & M. I. McMahon. (2021) Pressure-induced bcc-rhombohedral phase transition in vanadium metal. Physical Review B 103:13.
Crossref
Crossref
Roman Tomaschitz. (2021) Extension of finite-strain equations of state to ultra-high pressure. Physics Letters A 393, pages 127185.
Crossref
Crossref
S. Karmakar, Alka B. Garg, Mrinmay Sahu, Anjana Tripathi, Goutam Dev Mukherjee, Ranjit Thapa & D. Behera. (2020) Pressure-induced octahedral tilting distortion and structural phase transition in columbite structured NiNb2O6. Journal of Applied Physics 128:21.
Crossref
Crossref
B.L.N. Kennett. (2020) Towards constitutive equations for the deep Earth II: Shear properties under pressure. Physics of the Earth and Planetary Interiors 307, pages 106558.
Crossref
Crossref
E. J. Pace, S. E. Finnegan, C. V. Storm, M. Stevenson, M. I. McMahon, S. G. MacLeod, E. Plekhanov, N. Bonini & C. Weber. (2020) Structural phase transitions in yttrium up to 183 GPa. Physical Review B 102:9.
Crossref
Crossref
Kamil Filip Dziubek. (2020) Data preservation in pressure measurement. Journal of Physics: Conference Series 1609:1, pages 012002.
Crossref
Crossref
Nguyen Ba Duc, Ho Khac Hieu, Pham Thi Minh Hanh, Tran Thi Hai, Nguyen Viet Tuyen & Tran Thi Ha. (2020) Investigation of melting point, Debye frequency and temperature of iron at high pressure. The European Physical Journal B 93:6.
Crossref
Crossref
S. E. Finnegan, E. J. Pace, C. V. Storm, M. I. McMahon, S. G. MacLeod, H.-P. Liermann & K. Glazyrin. (2020) High-pressure structural systematics in samarium up to 222 GPa. Physical Review B 101:17.
Crossref
Crossref
Roman Tomaschitz. (2020) Caloric and isothermal equations of state of solids: empirical modeling with multiply broken power-law densities. Applied Physics A 126:2.
Crossref
Crossref
H. Levämäki, L.-Y. Tian, L. Vitos & M. Ropo. (2019) An automated algorithm for reliable equation of state fitting of magnetic systems. Computational Materials Science 156, pages 121-128.
Crossref
Crossref
Takeshi SAKAI. (2018) Equations of state of minerals at multi-megabar pressureマルチメガバール領域における鉱物高圧相の状態方程式. Japanese Magazine of Mineralogical and Petrological Sciences 47:1, pages 27-33.
Crossref
Crossref
Stepan S. BatsanovStepan S. Batsanov. 2018. Shock and Materials. Shock and Materials
1
152
.
Yao Li, Xiaofei Liu & Wanlin Guo. (2017) Equation of state for charge-doping-induced deformation and hardening in cubic crystals. Physical Review B 96:6.
Crossref
Crossref
S. Klotz, K. Komatsu, H. Kagi, K. Kunc, A. Sano-Furukawa, S. Machida & T. Hattori. (2017) Bulk moduli and equations of state of ice VII and ice VIII. Physical Review B 95:17.
Crossref
Crossref
Mehdi Azimian & Hans-Jörg Bart. (2017) Numerical Investigation of Particle Rebound Characteristics with Finite Element Method. Open Journal of Fluid Dynamics 07:03, pages 310-329.
Crossref
Crossref
P. Colin-Lalu, V. Recoules, G. Salin & G. Huser. Ab initio and experimental studies of glow-discharge polymer used in laser mégajoule capsules. Ab initio and experimental studies of glow-discharge polymer used in laser mégajoule capsules.
Wilfried B. Holzapfel. 2017. Correlations in Condensed Matter under Extreme Conditions. Correlations in Condensed Matter under Extreme Conditions
91
106
.
Takeshi Sakai, Haruhiko Dekura & Naohisa Hirao. (2016) Experimental and theoretical thermal equations of state of MgSiO3 post-perovskite at multi-megabar pressures. Scientific Reports 6:1.
Crossref
Crossref
Mehdi Azimian, Andreas Reiter & Hans-Jörg Bart. (2016) Computational investigation of impact attrition of particles. Powder Technology 289, pages 169-181.
Crossref
Crossref
P. Colin-Lalu, V. Recoules, G. Salin & G. Huser. (2015)
Impact of oxygen on the 300-K isotherm of Laser Megajoule ablator using
ab initio
simulation
. Physical Review E 92:5.
Crossref
Crossref
M. Tirone. (2015) On the use of thermal equations of state and the extrapolation at high temperature and pressure for geophysical and petrological applications. Geophysical Journal International 202:3, pages 1483-1494.
Crossref
Crossref
Hanns-Peter Liermann. 2015. X-Ray Diffraction. X-Ray Diffraction
255
313
.
Vasilis Dimitriou, Evaggelos Kaselouris, Yannis Orphanos, Makis Bakarezos, Nikolaos Vainos, Ioannis K. Nikolos, Michael Tatarakis & Nektarios A. Papadogiannis. (2014) The thermo-mechanical behavior of thin metal films under nanosecond laser pulse excitation above the thermoelastic regime. Applied Physics A 118:2, pages 739-748.
Crossref
Crossref
Th. Strässle, S. Klotz, K. Kunc, V. Pomjakushin & J. S. White. (2014) Equation of state of lead from high-pressure neutron diffraction up to 8.9 GPa and its implication for the NaCl pressure scale. Physical Review B 90:1.
Crossref
Crossref
Vladimir L. Solozhenko & Oleksandr O. Kurakevych. (2013) Equilibrium p-T Phase Diagram of Boron: Experimental Study and Thermodynamic Analysis. Scientific Reports 3:1.
Crossref
Crossref
Norbert Mattern, Jozef Bednarcik, Hans-Peter Liermann & Jürgen Eckert. (2013) Structural behaviour of Pd40Cu30Ni10P20 metallic glass under high pressure. Intermetallics 38, pages 9-13.
Crossref
Crossref
O Tschauner, C Ma, O Grubor-Urosevic & Y J Chen. (2013) Anomalous bulk compression behaviour in a hyperstoichiometric uranium-dioxide–thorium-dioxide solid solution. Journal of Physics: Condensed Matter 25:16, pages 162201.
Crossref
Crossref
John LovedayWilfried Holzapfel. 2012. High-Pressure Physics. High-Pressure Physics
81
94
.
Stepan S. Batsanov & Andrei S. BatsanovStepan S. Batsanov & Andrei S. Batsanov. 2012. Introduction to Structural Chemistry. Introduction to Structural Chemistry
413
471
.
O. O. Kurakevych & V. L. Solozhenko. (2011) Experimental study and critical review of structural, thermodynamic and mechanical properties of superhard refractory boron suboxide B6O. Journal of Superhard Materials 33:6, pages 421-428.
Crossref
Crossref
R. S. Chauhan, K. Lal & C. P. Singh. (2011) Inverted equations of state for solids under high pressures. Indian Journal of Physics 85:9, pages 1341-1366.
Crossref
Crossref
A. Otero-de-la-Roza & Víctor Luaña. (2011) Gibbs2: A new version of the quasi-harmonic model code. I. Robust treatment of the static data. Computer Physics Communications 182:8, pages 1708-1720.
Crossref
Crossref
A. Otero-de-la-Roza & V. Luaña. (2011) Treatment of first-principles data for predictive quasiharmonic thermodynamics of solids: The case of MgO. Physical Review B 84:2.
Crossref
Crossref
Yu-zheng Guo & Mo Li. (2010) Equation of state and topological transitions in amorphous solids under hydrostatic compression. Journal of Applied Physics 108:11.
Crossref
Crossref
S Ono. (2010) The equation of state of B2-type NaCl. Journal of Physics: Conference Series 215, pages 012196.
Crossref
Crossref
Yoshinori TANGE & Taku TSUCHIYA. (2010) Scale-Free Unified Analyses to Determine Primary P-V-T Equations of State of Materials. The Review of High Pressure Science and Technology 20:3, pages 210-220.
Crossref
Crossref
Yu-zheng Guo & Mo Li. (2009) Atomistic simulation of a NiZr model metallic glass under hydrostatic pressure. Applied Physics Letters 94:5.
Crossref
Crossref
T. Qin, R. Drautz & D. G. Pettifor. (2008)
Binding-energy relations and equations of state for the
and
transition metals
. Physical Review B 78:21.
Crossref
Crossref
S.S. Kushwah & N.K. Bhardwaj. (2008) On the compatibility of the generalized logarithmic and Rydberg equations of state. Solid State Communications 148:11-12, pages 501-503.
Crossref
Crossref
Eli Brosh, Roni Z. Shneck & Guy Makov. (2008) Explicit Gibbs free energy equation of state for solids. Journal of Physics and Chemistry of Solids 69:8, pages 1912-1922.
Crossref
Crossref
Ingo Orgzall, Franziska Emmerling, Burkhard Schulz & Olga Franco. (2008) High-pressure studies on molecular crystals—relations between structure and high-pressure behavior. Journal of Physics: Condensed Matter 20:29, pages 295206.
Crossref
Crossref
T. Qin, R. Drautz & D. G. Pettifor. (2008) Equation of state for transition metals. Physical Review B 77:22.
Crossref
Crossref
Biswajit Banerjee & Anup Bhawalkar. (2008) An extended mechanical threshold stress plasticity model: modeling 6061-T6 aluminum alloy. Journal of Mechanics of Materials and Structures 3:3, pages 391-424.
Crossref
Crossref
Leonid Burakovsky & Dean L. Preston. (2006) Shear modulus at all pressures: Generalized Guinan–Steinberg formula. Journal of Physics and Chemistry of Solids 67:9-10, pages 1930-1936.
Crossref
Crossref
Yigang Zhang, Dapeng Zhao, Masanori Matsui & Guangjun Guo. (2006) Equations of state of CaSiO3 Perovskite: a molecular dynamics study. Physics and Chemistry of Minerals 33:2, pages 126-137.
Crossref
Crossref
Sun Jiuxun, Wu Qiang, Cai Lingcang & Jing Fuqian. (2006) Equation of state for solids with high accuracy and satisfying the limitation condition at high pressure. Physica B: Condensed Matter 371:2, pages 257-271.
Crossref
Crossref
B.P. Singh. (2005) A comparison of equations of state including the generalized Rydberg EOS. Physica B: Condensed Matter 369:1-4, pages 111-116.
Crossref
Crossref
Eli Brosh, Guy Makov & Roni Z. Shneck. (2005) Thermodynamic analysis of light-actinide elements. Journal of Nuclear Materials 344:1-3, pages 36-39.
Crossref
Crossref
Leonid Burakovsky & Dean L. Preston. (2005) Generalized Guinan-Steinberg formula for the shear modulus at all pressures. Physical Review B 71:18.
Crossref
Crossref
Frank D Stacey. (2005) High pressure equations of state and planetary interiors. Reports on Progress in Physics 68:2, pages 341-383.
Crossref
Crossref
A. Würflinger. 2005. Measurement of the Thermodynamic Properties ofMultiple Phases. Measurement of the Thermodynamic Properties ofMultiple Phases
31
48
.
K. Sushil, K. Arunesh, P.K. Singh & B.S. Sharma. (2004) Analysis of finite-strain equations of state for solids under high pressures. Physica B: Condensed Matter 352:1-4, pages 134-146.
Crossref
Crossref
Papiya Bose Roy & Sushil Bose Roy. (2004) An isothermal equation of state for solids. Physica B: Condensed Matter 350:4, pages 375-388.
Crossref
Crossref
F.D. Stacey & P.M. Davis. (2004) High pressure equations of state with applications to the lower mantle and core. Physics of the Earth and Planetary Interiors 142:3-4, pages 137-184.
Crossref
Crossref
Ulrich Ponkratz & Wilfried B Holzapfel. (2004) Equations of state for wide ranges in pressure and temperature. Journal of Physics: Condensed Matter 16:14, pages S963-S972.
Crossref
Crossref
Wilfried B. Holzapfel. 2004. High-Pressure Crystallography. High-Pressure Crystallography
217
236
.
A. I. Karasevskii & W. B. Holzapfel. (2003) Influence of vibrational anharmonicity and vacancies on the thermodynamic properties of rare gas crystals. Low Temperature Physics 29:9, pages 711-715.
Crossref
Crossref
U. Ponkratz, F. Porsch, G. Wortmann & W.B. Holzapfel. (2003) X-ray diffraction studies on RECo2 (RE=Pr, Nd, Sm, Tb) Laves phases under pressure. Journal of Alloys and Compounds 359:1-2, pages 99-102.
Crossref
Crossref
A. I. Karasevskii & W. B. Holzapfel. (2003) Equations of state and thermodynamic properties of rare-gas solids under pressure calculated using a self-consistent statistical method. Physical Review B 67:22.
Crossref
Crossref
F. E. Leys, N. H. March & D. Lamoen. (2003) High pressure limiting forms of the zero-temperature equations of state of Ta and Pu from relativistic Thomas-Fermi theory. Physical Review B 67:6.
Crossref
Crossref
Wilfried B. Holzapfel. (2003) Refinement of the ruby luminescence pressure scale. Journal of Applied Physics 93:3, pages 1813-1818.
Crossref
Crossref
Alim B. Alchagirov, John P. Perdew, Jonathan C. Boettger, R. C. Albers & Carlos Fiolhais. (2003) Reply to “Comment on ‘Energy and pressure versus volume: Equations of state motivated by the stabilized jellium model’ ”. Physical Review B 67:2.
Crossref
Crossref
Wilfried B. Holzapfel. (2003) Comment on “Energy and pressure versus volume: Equations of state motivated by the stabilized jellium model”. Physical Review B 67:2.
Crossref
Crossref
W. Paszkowicz. (2002) High-pressure powder X-ray diffraction at the turn of the century. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 198:3-4, pages 142-182.
Crossref
Crossref
Wilfried B Holzapfel. (2002) Anharmonicity in the equations of state of Cu, Ag, and Au and related uncertainties in the realization of a practical pressure scale. Journal of Physics: Condensed Matter 14:44, pages 10525-10531.
Crossref
Crossref
Sang-Heon Shim, Thomas S. Duffy & Kenichi Takemura. (2002) Equation of state of gold and its application to the phase boundaries near 660 km depth in Earth’s mantle. Earth and Planetary Science Letters 203:2, pages 729-739.
Crossref
Crossref
S Gaurav, B.S Sharma, S.B Sharma & S.C Upadhyaya. (2002) Analysis of equations of state for solids under high compressions. Physica B: Condensed Matter 322:3-4, pages 328-339.
Crossref
Crossref
Nenad Velisavljevic, Gary N. Chesnut, Yogesh K. Vohra, Samuel T. Weir, Vincent Malba & Jagannadham Akella. (2002) Structural and electrical properties of beryllium metal to 66 GPa studied using designer diamond anvils. Physical Review B 65:17.
Crossref
Crossref
O Degtyareva, V F Degtyareva, F Porsch & W B Holzapfel. (2002) Phase transitions under high pressure in binary Sn alloys (with In, Hg and Ga). Journal of Physics: Condensed Matter 14:3, pages 389-406.
Crossref
Crossref
Frank D. Stacey. (2001) Finite strain, thermodynamics and the earth’s core. Physics of the Earth and Planetary Interiors 128:1-4, pages 179-193.
Crossref
Crossref
O Degtyareva, V F Degtyareva, F Porsch & W B Holzapfel. (2001) Face-centred cubic to tetragonal transitions in In alloys under high pressure. Journal of Physics: Condensed Matter 13:33, pages 7295-7303.
Crossref
Crossref
Wilfried B. HOLZAPFEL. (2001) Equations of State for High Pressure Phases.. The Review of High Pressure Science and Technology 11:1, pages 55-58.
Crossref
Crossref
Frank D. Stacey. (2000)
The
K
-primed approach to high-pressure equations of state
. Geophysical Journal International 143:3, pages 621-628.
Crossref
Crossref
Jianjun Xie, S P Chen, Holmann V Brand & Ronald L Rabie. (2000) High-pressure thermodynamic, electronic and magnetic properties of Ni. Journal of Physics: Condensed Matter 12:42, pages 8953-8962.
Crossref
Crossref
P CH Sahu & N V Chandra Shekar. (2000) Pressure induced phase transition behaviour in f-electron based dialuminides. Pramana 54:5, pages 685-708.
Crossref
Crossref
V. F. Degtyareva, O. Degtyareva, W. B. Holzapfel & K. Takemura. (2000)
Phase transitions of a simple hexagonal
alloy under high pressure
. Physical Review B 61:9, pages 5823-5826.
Crossref
Crossref
Vladimir L. Solozhenko, Vladimir Z. Turkevich & Wilfried B. Holzapfel. (1999) Refined Phase Diagram of Boron Nitride. The Journal of Physical Chemistry B 103:15, pages 2903-2905.
Crossref
Crossref
W.B Holzapfel. (1999) Evasive ice X and heavy fermion ice XII: facts and fiction about high-pressure ices. Physica B: Condensed Matter 265:1-4, pages 113-120.
Crossref
Crossref
V. F. Degtyareva, O. Degtyareva, M. Winzenick & W. B. Holzapfel. (1999) Structural transformations in a simple-hexagonal Hg-Sn alloy under pressure. Physical Review B 59:9, pages 6058-6062.
Crossref
Crossref