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Title: Evaluation of thermodynamic equations of state across chemistry and structure in the materials project

Journal Article · · npj Computational Materials
 [1];  [2];  [3];  [2];  [4]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Physics
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Energy Storage and Distributed Resources Division
  3. Univ. of California, Berkeley, CA (United States). Dept. of Materials Science
  4. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Energy Storage and Distributed Resources Division; Univ. of California, Berkeley, CA (United States). Dept. of Materials Science

Thermodynamic equations of state (EOS) for crystalline solids describe material behaviors under changes in pressure, volume, entropy and temperature, making them fundamental to scientific research in a wide range of fields including geophysics, energy storage and development of novel materials. Despite over a century of theoretical development and experimental testing of energy–volume (E–V) EOS for solids, there is still a lack of consensus with regard to which equation is indeed optimal, as well as to what metric is most appropriate for making this judgment. In this study, several metrics were used to evaluate quality of fit for 8 different EOS across 87 elements and over 100 compounds which appear in the literature. Our findings do not indicate a clear “best” EOS, but we identify three which consistently perform well relative to the rest of the set. Furthermore, we find that for the aggregate data set, the RMSrD is not strongly correlated with the nature of the compound, e.g., whether it is a metal, insulator, or semiconductor, nor the bulk modulus for any of the EOS, indicating that a single equation can be used across a broad range of classes of materials.

Research Organization:
Energy Frontier Research Centers (EFRC) (United States). Center for Next Generation of Materials by Design: Incorporating Metastability (CNGMD); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1479458
Journal Information:
npj Computational Materials, Vol. 4, Issue 1; ISSN 2057-3960
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 25 works
Citation information provided by
Web of Science

References (45)

Generalized Gradient Approximation Made Simple journal October 1996
High-Pressure Investigation of Li 2 MnSiO 4 and Li 2 CoSiO 4 Electrode Materials for Lithium-Ion Batteries journal May 2012
Equation of state and thermodynamic parameters of NaCl to 300 kbar in the high-temperature domain journal January 1986
Graphische Darstellung einiger bandenspektroskopischer Ergebnisse journal May 1932
Theorie des festen Zustandes einatomiger Elemente journal January 1912
Projector augmented-wave method journal December 1994
Energy and pressure versus volume: Equations of state motivated by the stabilized jellium model journal May 2001
A logarithmic equation of state journal November 1998
The Propagation of Shock Waves in Steel and Lead journal January 1948
Charting the complete elastic properties of inorganic crystalline compounds journal March 2015
Atomate: A high-level interface to generate, execute, and analyze computational materials science workflows journal November 2017
First-principles study of surface properties of Li Fe P O 4 : Surface energy, structure, Wulff shape, and surface redox potential journal October 2007
Zur kinetischen Theorie der einatomigen Körper journal January 1903
FireWorks: a dynamic workflow system designed for high-throughput applications: FireWorks: A Dynamic Workflow System Designed for High-Throughput Applications journal May 2015
Finite Deformations of an Elastic Solid journal April 1937
The Tait equation: 100 years on journal November 1988
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Finite Elastic Strain of Cubic Crystals journal June 1947
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation journal July 2013
Elastic Moduli of GaAs at Moderate Pressures and the Evaluation of Compression to 250 kbar journal April 1967
High-pressure X-ray structural study of BeO and ZnO to 200 GPa journal November 2004
Compressibility of solids journal January 1987
Combining the AFLOW GIBBS and elastic libraries to efficiently and robustly screen thermomechanical properties of solids journal June 2017
Ambient pressure phase diagram of plutonium: A unified theory for α-Pu and δ-Pu journal August 2001
Local structure investigation of β-Ni(OH) 2 under pressure using combined Raman and Ni K-edge extended x-ray absorption fine structure studies journal December 2016
The Compressibility of Media under Extreme Pressures journal September 1944
Über die elektrische Natur der Kohäsionskräfte fester Körper journal January 1920
Anomalies in the Elastic Constants and Thermal Expansion of Chromium Single Crystals journal February 1963
New materials from high-pressure experiments journal September 2002
Pressure dependence of melting temperature and shear modulus of hcp-iron journal April 2017
X-ray diffraction study of protactinium metal to 53 GPa journal October 1982
Ab initiomolecular dynamics for liquid metals journal January 1993
Reproducibility in density functional theory calculations of solids journal March 2016
Finite strain theories and comparisons with seismological data journal April 1981
Compressibility of 18 metals to 45 kbar journal October 1970
Error Estimates for Solid-State Density-Functional Theory Predictions: An Overview by Means of the Ground-State Elemental Crystals journal October 2013
Impact of lattice vibrations on equation of state of the hardest boron phase journal April 2011
Bulk modulus and P- V relationship up to 52 GPa of neptunium metal at room temperature journal January 1987
Python Materials Genomics (pymatgen): A robust, open-source python library for materials analysis journal February 2013
Finite deformations of an elastic solid journal May 1952
Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal May 2021
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect journal February 2020
Error estimates for solid-state density-functional theory predictions: an overview by means of the ground-state elemental crystals text January 2012
Charting the complete elastic properties of inorganic crystalline compounds dataset January 2022

Cited By (2)

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