Title: The thermodynamics of a liquid-solid interface at extreme conditions: A model close-packed system up to 100 GPa

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/1.5028268 · OSTI ID:1502047

The first experimental insight into the nature of the liquid-solid interface occurred with the pioneering experiments of Turnbull, which simultaneously demonstrated both that metals could be deeply undercooled (and therefore had relatively large barriers to nucleation) and that the inferred interfacial free energy γ was linearly proportional to the enthalpy of fusion [D. Turnbull, J. Appl. Phys. 21, 1022 (1950)]. By an atomistic simulation of a model face-centered cubic system via adiabatic free energy dynamics, we extend Turnbull’s result to the realm of high pressure and demonstrate that the interfacial free energy, evaluated along the melting curve, remains linear with the bulk enthalpy of fusion, even up to 100 GPa. This linear dependence of γ on pressure is shown to be a consequence of the entropy dominating the free energy of the interface in conjunction with the fact that the entropy of fusion does not vary greatly along the melting curve for simple monoatomic metals. Here, based on this observation, it appears that large undercoolings in liquid metals can be achieved even at very high pressure. Therefore, nucleation rates at high pressure are expected to be non-negligible, resulting in observable solidification kinetics.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE; USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1502047
Report Number(s):
LLNL-JRNL-755173; 942049
Journal Information:
Journal of Chemical Physics, Journal Name: Journal of Chemical Physics Journal Issue: 12 Vol. 149; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (61)

A structural model for the solid-liquid interface in monatomic systems journal June 1975
A structural model for the solid-liquid interface in monatomic systems journal April 1975
The surface tension in a structural model for the solid-liquid interface journal January 1976
The surface tension in a structural model for the solid-liquid interface journal March 1976
Surface premelting journal January 1984
Solid–liquid equilibrium for non-hydrostatic stress journal April 2004
Measure-preserving integrators for molecular dynamics in the isothermal–isobaric ensemble derived from the Liouville operator journal May 2010
Optimal dynamos in the cores of terrestrial exoplanets: Magnetic field generation and detectability journal May 2011
A general strategy for designing seamless multiscale methods journal August 2009
Time-dependent freezing of water under dynamic compression journal June 2003
Efficient and Direct Generation of Multidimensional Free Energy Surfaces via Adiabatic Dynamics without Coordinate Transformations journal December 2008
Elasticity and rheology of iron above 220 GPa and the nature of the Earth's inner core journal December 1998
A super-Earth transiting a nearby low-mass star journal December 2009
A metastable limit for compressed liquid water journal March 2007
The solid–liquid interfacial free energy of close-packed metals: Hard-spheres and the Turnbull coefficient journal August 2001
Formation of Crystal Nuclei in Liquid Metals journal October 1950
Kinetics of Solidification of Supercooled Liquid Mercury Droplets journal March 1952
Nanosecond freezing of water under multiple shock wave compression: Optical transmission and imaging measurements journal November 2004
String method in collective variables: Minimum free energy paths and isocommittor surfaces journal July 2006
Simplified and improved string method for computing the minimum energy paths in barrier-crossing events journal April 2007
Metadynamics simulations of ice nucleation and growth journal April 2008
Constant pressure molecular dynamics algorithms journal September 1994
Simulation of the hard-sphere crystal–melt interface journal June 1998
Generalized Gaussian moment thermostatting: A new continuous dynamical approach to the canonical ensemble journal January 2000
Sampling saddle points on a free energy surface journal April 2014
Order-parameter-aided temperature-accelerated sampling for the exploration of crystal polymorphism and solid-liquid phase transitions journal June 2014
Exploring the free energy surface using ab initio molecular dynamics journal April 2016
Observations on the nucleation of ice VII in compressed water
  • Stafford, Samuel J. P.; Chapman, David J.; Bland, Simon N.
  • SHOCK COMPRESSION OF CONDENSED MATTER - 2015: Proceedings of the Conference of the American Physical Society Topical Group on Shock Compression of Condensed Matter, AIP Conference Proceedings https://doi.org/10.1063/1.4971716
conference January 2017
Free energy models for ice VII and liquid water derived from pressure, entropy, and heat capacity relations journal August 2017
Extraction of effective solid-liquid interfacial free energies for full 3D solid crystallites from equilibrium MD simulations journal November 2017
Solvent coarse-graining and the string method applied to the hydrophobic collapse of a hydrated chain journal August 2007
Formation of a crystal nucleus from liquid journal July 2010
Free energy changes on freezing and melting ductile metals journal November 1993
A metadynamics-based approach to sampling crystallisation events journal April 2009
Orientation dependence of the solid–liquid interface stress: atomistic calculations for copper journal September 2010
Rapid freezing of water under dynamic compression journal May 2018
Bond-orientational order in liquids and glasses journal July 1983
Structural stability and lattice defects in copper: Ab initio , tight-binding, and embedded-atom calculations journal May 2001
String method for the study of rare events journal August 2002
Crystal-melt interfacial free energies in metals: fcc versus bcc journal January 2004
Crystallization of water in a dynamic diamond-anvil cell: Evidence for ice VII-like local order in supercompressed water journal October 2006
Freezing kinetics in overcompressed water journal May 2007
Temperature dependence of the surface free energy and surface stress: An atomistic calculation for Cu(110) journal January 2009
Effect of nonhydrostatic stresses on solid-fluid equilibrium. I. Bulk thermodynamics journal November 2010
Effect of nonhydrostatic stresses on solid-fluid equilibrium. II. Interface thermodynamics journal November 2010
Statistical mechanics of monatomic liquids journal October 1997
Tension and Stiffness of the Hard Sphere Crystal-Fluid Interface journal May 2012
Compression Freezing Kinetics of Water to Ice VII journal July 2017
Critical Surface Phenomena at First-Order Bulk Transitions journal November 1982
Observation of Surface Melting journal January 1985
Direct Calculation of the Hard-Sphere Crystal / Melt Interfacial Free Energy journal November 2000
Method for Computing the Anisotropy of the Solid-Liquid Interfacial Free Energy journal June 2001
Crystal Structure and Interaction Dependence of the Crystal-Melt Interfacial Free Energy journal March 2005
The Structure of Iron in Earth's Inner Core journal October 2010
Microscopic mechanisms of equilibrium melting of a solid journal November 2014
Method for Computing the Anisotropy of the Solid-Liquid Interfacial Free Energy text January 2001
Optimization-Based String Method for Finding Minimum Energy Path journal August 2013
A super-Earth transiting a nearby low-mass star text January 2009
Tension and stiffness of the hard sphere crystal-fluid interface text January 2012
Direct calculation of the hard-sphere crystal/melt interfacial free energy text January 2000
String Method for the Study of Rare Events text January 2002