skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Equation of state of solid, liquid and gaseous tantalum from first principles

Journal Article · · Calphad
 [1];  [2];  [3];  [4]
  1. Brown Univ., Providence, RI (United States). School of Engineering; California Inst. of Technology (CalTech), Pasadena, CA (United States). Dept. of Applied Physics and Materials Science
  2. California Inst. of Technology (CalTech), Pasadena, CA (United States). Dept. of Applied Physics and Materials Science
  3. Brown Univ., Providence, RI (United States). School of Engineering; California Inst. of Technology (CalTech), Pasadena, CA (United States). Division of Chemistry and Chemical Engineering
  4. Brown Univ., Providence, RI (United States). School of Engineering

Here, we present ab initio calculations of the phase diagram and the equation of state of Ta in a wide range of volumes and temperatures, with volumes from 9 to 180 Å3/atom, temperature as high as 20000 K, and pressure up to 7 Mbars. The calculations are based on first principles, in combination with techniques of molecular dynamics, thermodynamic integration, and statistical modeling. Multiple phases are studied, including the solid, fluid, and gas single phases, as well as two-phase coexistences. We calculate the critical point by direct molecular dynamics sampling, and extend the equation of state to very low density through virial series fitting. The accuracy of the equation of state is assessed by comparing both the predicted melting curve and the critical point with previous experimental and theoretical investigations.

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); US Department of the Navy, Office of Naval Research (ONR); National Science Foundation (NSF)
Grant/Contract Number:
FC52-08NA28613; N00014-12-1-0196
OSTI ID:
1249812
Alternate ID(s):
OSTI ID: 1438471
Journal Information:
Calphad, Journal Name: Calphad Vol. 51 Journal Issue: C; ISSN 0364-5916
Publisher:
ElsevierCopyright Statement
Country of Publication:
United Kingdom
Language:
English
Citation Metrics:
Cited by: 18 works
Citation information provided by
Web of Science

References (57)

Prediction of the material with highest known melting point from ab initio molecular dynamics calculations journal July 2015
An atomistic fourth-order virial equation of state for Argon from first principles calculations journal September 2011
High pressure equations of state and planetary interiors journal January 2005
Generalized Gradient Approximation Made Simple journal October 1996
Projector augmented-wave method journal December 1994
Hybrid functionals based on a screened Coulomb potential journal May 2003
Ab Initio Molecular Dynamics Study of First-Order Phase Transitions: Melting of Silicon journal March 1995
First-order phase transitions by first-principles free-energy calculations: The melting of Al journal April 1998
Critical Point of Metals from the van der Waals Model journal January 1971
Optimal transportation meshfree approximation schemes for fluid and plastic flows: OPTIMAL TRANSPORTATION MESHFREE METHOD journal May 2010
Solid-liquid coexistence in small systems: A statistical method to calculate melting temperatures journal September 2013
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Critical points of metals of three main groups and selected transition metals journal August 2002
Ab initio calculations of the melting temperatures of refractory bcc metals journal January 2012
Automating first-principles phase diagram calculations journal August 2002
High-Pressure—High-Temperature Polymorphism in Ta: Resolving an Ongoing Experimental Controversy journal June 2010
The kinetics of homogeneous melting beyond the limit of superheating journal July 2011
First principles force field for metallic tantalum journal June 2004
Dynamic methods for investigating thermophysical properties of matter at very high temperatures and pressures journal April 1986
SGTE data for pure elements journal October 1991
The density functional formalism, its applications and prospects journal July 1989
Ab initiomolecular dynamics for liquid metals journal January 1993
Direct first-principles chemical potential calculations of liquids journal September 2012
Toward an Equation of State for Water inside Carbon Nanotubes journal April 2012
Universal compressibility behavior of dense phases journal January 1995
Nonparametric estimates of standard error: The jackknife, the bootstrap and other methods journal January 1981
Beyond the local-density approximation in calculations of ground-state electronic properties journal August 1983
Melting and critical superheating journal January 2006
A general equation of state for dense fluids journal September 1997
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Thermodynamics of hexagonal-close-packed iron under Earth’s core conditions journal July 2001
Combined computational and experimental investigation of the refractory properties of La2Zr2O7 journal February 2015
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
An equation of state for gases and liquids journal December 1982
Simulations provide a rare look at real melting journal November 2014
Microscopic mechanisms of equilibrium melting of a solid journal November 2014
A New Two-Constant Equation of State journal February 1976
The melting curve of iron at the pressures of the Earth's core from ab initio calculations journal September 1999
Vapor pressure of different metals in the pressure range of 50 to 4000 torr journal January 1967
Equation of state for liquid metals conference January 2000
Melting of a polycrystalline material: Melting of real materials journal January 2013
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium journal May 1994
Inhomogeneous Electron Gas journal November 1964
Atoms, molecules, solids, and surfaces: Applications of the generalized gradient approximation for exchange and correlation journal September 1992
Shear-induced anisotropic plastic flow from body-centred-cubic tantalum before melting journal January 2009
Melting curve of tantalum from first principles journal June 2007
Review of Some Experimental and Analytical Equations of State journal April 1969
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
Dislocation Lines as the Precursor of the Melting of Crystalline Solids Observed in Monte Carlo Simulations journal March 2003
Equation of state for transition metals journal June 2008
High Temperature Structure and Thermal Expansion of Some Metals as Determined by X‐Ray Diffraction Data. I. Platinum, Tantalum, Niobium, and Molybdenum journal April 1951
First-Order Liquid-Liquid Phase Transition in Compressed Nitrogen journal January 2009
Verification and validation of the Optimal Transportation Meshfree (OTM) simulation of terminal ballistics journal April 2012
Phase Diagrams and Thermodynamic Properties of Metals at High Pressures, High Temperatures conference January 2002
Melting temperature of tungsten from two ab initio approaches journal September 2011
Polymorphism and melt in high-pressure tantalum journal December 2012

Figures / Tables (15)


Similar Records

First Principles Simulations fo the Supercritical Behavior of Ore Forming Fluids
Technical Report · Fri Apr 19 00:00:00 EDT 2013 · OSTI ID:1249812

First-principles theory of Ta up to 10 Mbar pressure: Structural and mechanical properties
Journal Article · Fri May 01 00:00:00 EDT 1998 · Physical Review, B: Condensed Matter · OSTI ID:1249812

First-principles thermoelasticity of transition metals at high pressure I. Tantalum prototype in the quasi-harmonic limit
Journal Article · Tue Apr 25 00:00:00 EDT 2006 · Physical Review B, vol. 76, N/A, August 23, 2006, pp. 054109 · OSTI ID:1249812