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Title: Solid-liquid interface free energies of pure bcc metals and B2 phases

Abstract

The solid-liquid interface (SLI) free energy was determined from molecular dynamics (MD) simulation for several body centered cubic (bcc) metals and B2 metallic compounds (space group: Pm3̄m; prototype: CsCl). In order to include a bcc metal with a low melting temperature in our study, a semi-empirical potential was developed for Na. Two additional synthetic “Na” potentials were also developed to explore the effect of liquid structure and latent heat on the SLI free energy. The obtained MD data were compared with the empirical Turnbull, Laird, and Ewing relations. All three relations are found to predict the general trend observed in the MD data for bcc metals obtained within the present study. However, only the Laird and Ewing relations are able to predict the trend obtained within the sequence of “Na” potentials. The Laird relation provides the best prediction for our MD data and other MD data for bcc metals taken from the literature. Overall, the Laird relation also agrees well with our B2 data but requires a proportionality constant that is substantially different from the bcc case. It also fails to explain a considerable difference between the SLI free energies of some B2 phases which have nearly the same meltingmore » temperature. In contrast, this difference is satisfactorily described by the Ewing relation. Moreover, the Ewing relation obtained from the bcc dataset also provides a reasonable description of the B2 data.« less

Authors:
 [1]; ORCiD logo [1];  [1]
  1. Ames Lab., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1227292
Alternate Identifier(s):
OSTI ID: 1420732
Report Number(s):
IS-J-8617
Journal ID: ISSN 0021-9606; JCPSA6
Grant/Contract Number:  
AC02-07CH11358
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Chemical Physics
Additional Journal Information:
Journal Volume: 142; Journal Issue: 13; Journal ID: ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; free energy; liquid solid interfaces; molecular dynamics; melting; solidification

Citation Formats

Wilson, S. R., Gunawardana, K. G. S. H., and Mendelev, M. I. Solid-liquid interface free energies of pure bcc metals and B2 phases. United States: N. p., 2015. Web. doi:10.1063/1.4916741.
Wilson, S. R., Gunawardana, K. G. S. H., & Mendelev, M. I. Solid-liquid interface free energies of pure bcc metals and B2 phases. United States. https://doi.org/10.1063/1.4916741
Wilson, S. R., Gunawardana, K. G. S. H., and Mendelev, M. I. Tue . "Solid-liquid interface free energies of pure bcc metals and B2 phases". United States. https://doi.org/10.1063/1.4916741. https://www.osti.gov/servlets/purl/1227292.
@article{osti_1227292,
title = {Solid-liquid interface free energies of pure bcc metals and B2 phases},
author = {Wilson, S. R. and Gunawardana, K. G. S. H. and Mendelev, M. I.},
abstractNote = {The solid-liquid interface (SLI) free energy was determined from molecular dynamics (MD) simulation for several body centered cubic (bcc) metals and B2 metallic compounds (space group: Pm3̄m; prototype: CsCl). In order to include a bcc metal with a low melting temperature in our study, a semi-empirical potential was developed for Na. Two additional synthetic “Na” potentials were also developed to explore the effect of liquid structure and latent heat on the SLI free energy. The obtained MD data were compared with the empirical Turnbull, Laird, and Ewing relations. All three relations are found to predict the general trend observed in the MD data for bcc metals obtained within the present study. However, only the Laird and Ewing relations are able to predict the trend obtained within the sequence of “Na” potentials. The Laird relation provides the best prediction for our MD data and other MD data for bcc metals taken from the literature. Overall, the Laird relation also agrees well with our B2 data but requires a proportionality constant that is substantially different from the bcc case. It also fails to explain a considerable difference between the SLI free energies of some B2 phases which have nearly the same melting temperature. In contrast, this difference is satisfactorily described by the Ewing relation. Moreover, the Ewing relation obtained from the bcc dataset also provides a reasonable description of the B2 data.},
doi = {10.1063/1.4916741},
journal = {Journal of Chemical Physics},
number = 13,
volume = 142,
place = {United States},
year = {Tue Apr 07 00:00:00 EDT 2015},
month = {Tue Apr 07 00:00:00 EDT 2015}
}

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Works referenced in this record:

Development of an interatomic potential for the Ni-Al system
journal, December 2009


Direct Calculation of the Crystal−Melt Interfacial Free Energy via Molecular Dynamics Computer Simulation
journal, September 2005

  • Laird, Brian B.; Davidchack, Ruslan L.
  • The Journal of Physical Chemistry B, Vol. 109, Issue 38
  • DOI: 10.1021/jp0530754

Role of Repulsive Forces in Determining the Equilibrium Structure of Simple Liquids
journal, June 1971

  • Weeks, John D.; Chandler, David; Andersen, Hans C.
  • The Journal of Chemical Physics, Vol. 54, Issue 12
  • DOI: 10.1063/1.1674820

Dependence of solid–liquid interface free energy on liquid structure
journal, July 2014

  • Wilson, S. R.; Mendelev, M. I.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 22, Issue 6
  • DOI: 10.1088/0965-0393/22/6/065004

Appearance of metastable B2 phase during solidification of Ni 50 Zr 50 alloy: electrostatic levitation and molecular dynamics simulation studies
journal, February 2015


Development of suitable interatomic potentials for simulation of liquid and amorphous Cu–Zr alloys
journal, April 2009


A structural model for the solid-liquid interface in monatomic systems
journal, June 1975


Fast Parallel Algorithms for Short-Range Molecular Dynamics
journal, March 1995


Homogeneous crystal nucleation in binary metallic melts
journal, December 1983


A simple empirical N -body potential for transition metals
journal, July 1984


Calculation of the crystal-melt interfacial free energy of succinonitrile from molecular simulation
journal, January 2006

  • Feng, Xiaobing; Laird, Brian B.
  • The Journal of Chemical Physics, Vol. 124, Issue 4
  • DOI: 10.1063/1.2149859

Anisotropy of the solid–liquid interface properties of the Ni–Zr B33 phase from molecular dynamics simulation
journal, December 2014


EAM potential for magnesium from quantum mechanical forces
journal, May 1996

  • Liu, Xiang-Yang; Adams, James B.; Ercolessi, Furio
  • Modelling and Simulation in Materials Science and Engineering, Vol. 4, Issue 3
  • DOI: 10.1088/0965-0393/4/3/004

Considerations for choosing and using force fields and interatomic potentials in materials science and engineering
journal, December 2013

  • Becker, Chandler A.; Tavazza, Francesca; Trautt, Zachary T.
  • Current Opinion in Solid State and Materials Science, Vol. 17, Issue 6
  • DOI: 10.1016/j.cossms.2013.10.001

Molecular dynamics simulations of the crystal–melt interface mobility in HCP Mg and BCC Fe
journal, October 2010


Formation of Crystal Nuclei in Liquid Metals
journal, October 1950


Molecular-dynamics computer simulation of crystal growth and melting in Al 50 Ni 50
journal, February 2008


Development of new interatomic potentials appropriate for crystalline and liquid iron
journal, December 2003


The anisotropic hard-sphere crystal-melt interfacial free energy from fluctuations
journal, September 2006

  • Davidchack, Ruslan L.; Morris, James R.; Laird, Brian B.
  • The Journal of Chemical Physics, Vol. 125, Issue 9
  • DOI: 10.1063/1.2338303

Anomalously slow crystal growth of the glass-forming alloy CuZr
journal, April 2013

  • Tang, Chunguang; Harrowell, Peter
  • Nature Materials, Vol. 12, Issue 6
  • DOI: 10.1038/nmat3631

Correlation functions in the capillary wave model of the liquid–vapor interface
journal, January 1985

  • Bedeaux, Dick; Weeks, John D.
  • The Journal of Chemical Physics, Vol. 82, Issue 2
  • DOI: 10.1063/1.448474

Molecular-dynamics study of solid–liquid interface migration in fcc metals
journal, September 2010

  • Mendelev, M. I.; Rahman, M. J.; Hoyt, J. J.
  • Modelling and Simulation in Materials Science and Engineering, Vol. 18, Issue 7
  • DOI: 10.1088/0965-0393/18/7/074002

The solid–liquid interfacial free energy of close-packed metals: Hard-spheres and the Turnbull coefficient
journal, August 2001

  • Laird, Brian B.
  • The Journal of Chemical Physics, Vol. 115, Issue 7
  • DOI: 10.1063/1.1391481

Structure and thermodynamics of the liquid–vapor interface
journal, October 1977

  • Weeks, John D.
  • The Journal of Chemical Physics, Vol. 67, Issue 7
  • DOI: 10.1063/1.435276

The free energy of the crystal-melt interface from the radial distribution function
journal, December 1971


A Critical Assessment of Methods for the Intrinsic Analysis of Liquid Interfaces. 1. Surface Site Distributions
journal, June 2010

  • Jorge, Miguel; Jedlovszky, Pál; Cordeiro, M. Natália D. S.
  • The Journal of Physical Chemistry C, Vol. 114, Issue 25
  • DOI: 10.1021/jp101035r

XX. On the velocity of solidification and viscosity of super-cooled liquids
journal, August 1900

  • Wilson, Harold W.
  • The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Vol. 50, Issue 303
  • DOI: 10.1080/14786440009463908

Development of interatomic potentials appropriate for simulation of liquid and glass properties of NiZr 2 alloy
journal, July 2012


Molecular dynamics simulations of the crystal–melt interfacial free energy and mobility in Mo and V
journal, August 2006


Capillary waves in a colloid-polymer interface
journal, April 2005

  • Vink, R. L. C.; Horbach, J.; Binder, K.
  • The Journal of Chemical Physics, Vol. 122, Issue 13
  • DOI: 10.1063/1.1866072

A perturbation theory of classical equilibrium fluids
journal, January 1985

  • Kang, Hong Seok; Lee, Choong Sik; Ree, Taikyue
  • The Journal of Chemical Physics, Vol. 82, Issue 1
  • DOI: 10.1063/1.448762

The surface tension in a structural model for the solid-liquid interface
journal, March 1976


Fundamental measure density functional theory studies on the freezing of binary hard-sphere and Lennard-Jones mixtures
journal, July 2008

  • Warshavsky, Vadim B.; Song, Xueyu
  • The Journal of Chemical Physics, Vol. 129, Issue 3
  • DOI: 10.1063/1.2953329

Solidification microstructures and solid-state parallels: Recent developments, future directions
journal, February 2009


Atomistic and continuum modeling of dendritic solidification
journal, September 2003


Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals
journal, June 1984


Crystal-melt interfacial free energies in metals: fcc versus bcc
journal, January 2004


Method for Computing the Anisotropy of the Solid-Liquid Interfacial Free Energy
journal, June 2001


Embedded-atom potential for B 2 NiAl
journal, June 2002


Crystal-melt interfacial free energies and mobilities in fcc and bcc Fe
journal, May 2004


Crystal-melt interfacial free energies in hcp metals: A molecular dynamics study of Mg
journal, January 2006


Relationship between the Hard-Sphere Fluid and Fluids with Realistic Repulsive Forces
journal, October 1971

  • Andersen, Hans C.; Weeks, John D.; Chandler, David
  • Physical Review A, Vol. 4, Issue 4
  • DOI: 10.1103/PhysRevA.4.1597

Phase diagrams of binary alloys calculated from a density functional theory
journal, January 2009


Test of the Universal Scaling Law for the Diffusion Coefficient in Liquid Metals
journal, July 2000


Universal Scaling Laws of Diffusion in a Binary Fluid Mixture
journal, November 2001


Interfacial Density Profile for Fluids in the Critical Region
journal, October 1965


Crystal-melt interfacial free energy of binary hard spheres from capillary fluctuations
journal, October 2008


Calculation of alloy solid-liquid interfacial free energies from atomic-scale simulations
journal, September 2002


Atomistic Underpinnings for Orientation Selection in Alloy Dendritic Growth
journal, March 2007


Structure and dynamics of the interface between a binary hard-sphere crystal of NaCl type and its coexisting binary fluid
journal, October 2002


Complete mapping of the anisotropic free energy of the crystal-melt interface in Al
journal, October 2002


Ginzburg-Landau theory of crystalline anisotropy for bcc-liquid interfaces
journal, March 2006


Embedded-atom models of 12 cubic metals incorporating second- and third-order elastic-moduli data
journal, September 1998


The surface tension in a structural model for the solid-liquid interface
journal, January 1976


A structural model for the solid-liquid interface in monatomic systems
journal, April 1975


Method for Computing the Anisotropy of the Solid-Liquid Interfacial Free Energy
text, January 2001


A Critical Assessment of Methods for the Intrinsic Analysis of Liquid Interfaces. 1. Surface Site Distributions
journal, November 2010

  • Jorge, Miguel; Jedlovszky, Pál; Cordeiro, M. Natália D. S.
  • The Journal of Physical Chemistry C, Vol. 114, Issue 47
  • DOI: 10.1021/jp109913u

Universal Scaling Laws of Diffusion in a Binary Fluid Mixture
text, January 2001

  • Ghosh, Swapan K.; Musharaf Ali, Sk.; Samanta, Alok
  • The American Physical Society
  • DOI: 10.17877/de290r-4622

Capillary Waves in a Colloid-Polymer Interface
text, January 2004


Ginzburg-Landau theory of crystalline anisotropy for bcc-liquid interfaces
text, January 2006


Works referencing / citing this record:

Molecular dynamics investigation of the local structure in iron melts and its role in crystal nucleation during rapid solidification
journal, January 2019

  • Zhang, Qi; Wang, Jincheng; Tang, Sai
  • Physical Chemistry Chemical Physics, Vol. 21, Issue 8
  • DOI: 10.1039/c8cp05654d

Development of an interatomic potential for the simulation of defects, plasticity, and phase transformations in titanium
journal, October 2016

  • Mendelev, M. I.; Underwood, T. L.; Ackland, G. J.
  • The Journal of Chemical Physics, Vol. 145, Issue 15
  • DOI: 10.1063/1.4964654

Calculation of phase diagrams in the multithermal-multibaric ensemble
journal, June 2019

  • Piaggi, Pablo M.; Parrinello, Michele
  • The Journal of Chemical Physics, Vol. 150, Issue 24
  • DOI: 10.1063/1.5102104

Improving collective variables: The case of crystallization
journal, March 2019

  • Zhang, Yue-Yu; Niu, Haiyang; Piccini, GiovanniMaria
  • The Journal of Chemical Physics, Vol. 150, Issue 9
  • DOI: 10.1063/1.5081040

Molecular dynamics simulation of phase competition in terbium
journal, December 2018

  • Song, H.; Mendelev, M. I.
  • The Journal of Chemical Physics, Vol. 149, Issue 24
  • DOI: 10.1063/1.5054008

Molecular dynamics simulation of the solid-liquid interface migration in terbium
journal, June 2018

  • Mendelev, M. I.; Zhang, F.; Song, H.
  • The Journal of Chemical Physics, Vol. 148, Issue 21
  • DOI: 10.1063/1.5026922

Entropy based fingerprint for local crystalline order
journal, September 2017

  • Piaggi, Pablo M.; Parrinello, Michele
  • The Journal of Chemical Physics, Vol. 147, Issue 11
  • DOI: 10.1063/1.4998408

A unified relation for the solid-liquid interface free energy of pure FCC, BCC, and HCP metals
journal, April 2016

  • Wilson, S. R.; Mendelev, M. I.
  • The Journal of Chemical Physics, Vol. 144, Issue 14
  • DOI: 10.1063/1.4946032

Development of a semi-empirical potential suitable for molecular dynamics simulation of vitrification in Cu-Zr alloys
journal, December 2019

  • Mendelev, M. I.; Sun, Y.; Zhang, F.
  • The Journal of Chemical Physics, Vol. 151, Issue 21
  • DOI: 10.1063/1.5131500

Improving collective variables: The case of crystallization
text, January 2019


Enhancing entropy and enthalpy fluctuations to drive crystallization in atomistic simulations
text, January 2016


Entropy based fingerprint for local crystalline order
text, January 2017