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

Title: Determination of a Density Functional Tight Binding Model with an Extended Basis Set and Three-Body Repulsion for Carbon Under Extreme Pressures and Temperatures

Journal Article · · Journal of Physical Chemistry. C
DOI:https://doi.org/10.1021/jp312759j· OSTI ID:1466147
 [1];  [2];  [1];  [1];  [3];  [4]
  1. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physical and Life Sciences Directorate
  2. Pennsylvania State University, State College PA (United States). Department of Mechanical and Nuclear Engineering
  3. Univ. of Wisconsin, Madison, WI (United States). Department of Chemistry and Theoretical Chemistry Institute
  4. Karlsruhe Inst. of Technology (KIT) (Germany). Institute of Physical Chemistry

In this paper, we report here on development of a density functional tight binding (DFTB) simulation approach for carbon under extreme pressures and temperatures that includes an expanded basis set and an environmentally dependent repulsive energy. We find that including d-orbital interactions in the DFTB Hamiltonian improves determination of the electronic states at high pressure–temperature conditions, compared to standard DFTB implementations that utilize s- and p-orbitals only for carbon. We then determine a three-body repulsive energy through fitting to diamond, BC8, and simple cubic cold compression curve data, as well pressures from metallic liquid configurations from density functional theory (DFT) simulations. Our new model (DFTB-p3b) yields approximately 2 orders of magnitude increase in computational efficiency over standard DFT while retaining its accuracy for condensed phases of carbon under a wide range of conditions, including the metallic liquid phase at conditions up to 2000 GPa and 30 000 K. Finally, our results provide a straightforward method by which DFTB can be extended to studies of covalently bonded materials under extremely high pressures and temperatures such as the interiors of planets and other large celestial bodies.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
1466147
Report Number(s):
LLNL-JRNL-608994; 709498
Journal Information:
Journal of Physical Chemistry. C, Vol. 117, Issue 15; ISSN 1932-7447
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 27 works
Citation information provided by
Web of Science

References (68)

Interiors of the Giant Planets journal October 1981
Cooling theory of crystallized white dwarfs journal October 1994
Mass‐Radius Relationships for Solid Exoplanets journal November 2007
Update on design simulations for NIF ignition targets, and the rollup of all specifications into an error budget journal May 2007
Compression of Ice to 210 Gigapascals: Infrared Evidence for a Symmetric Hydrogen-Bonded Phase journal July 1996
Dynamic Ionization of Water under Extreme Conditions journal April 2005
Diamond at 800 GPa journal February 2009
Hugoniot measurement of diamond under laser shock compression up to 2TPa journal May 2006
Shock-Wave Exploration of the High-Pressure Phases of Carbon journal December 2008
Carbon under extreme conditions: Phase boundaries and electronic properties from first-principles theory journal January 2006
Laser-driven shock experiments on precompressed water: Implications for “icy” giant planets journal July 2006
Melting temperature of diamond at ultrahigh pressure journal November 2009
The temperature of shock‐compressed water journal June 1982
High-precision measurements of the equation of state of hydrocarbons at 1–10 Mbar using laser-driven shock waves journal May 2010
Structural transformations in carbon under extreme pressure: Beyond diamond journal May 2009
Explicit Gibbs free energy equation of state applied to the carbon phase diagram journal April 2000
Shock Waves in High-Energy Materials: The Initial Chemical Events in Nitramine RDX journal August 2003
Molecular dynamics simulations of shock waves using the absorbing boundary condition: A case study of methane journal December 2007
Electronic excitations and the compressibility of deuterium journal June 2002
Bonding in the Superionic Phase of Water journal May 2005
Melting of ice under pressure journal September 2008
Density-functional calculation of the Hugoniot of shocked liquid nitrogen journal December 2000
A transient semimetallic layer in detonating nitromethane journal December 2007
Ultrafast transformation of graphite to diamond: An ab initio study of graphite under shock compression journal May 2008
Ab initio simulation of the equation of state and kinetics of shocked water journal March 2009
Quantum mechanical corrections to simulated shock Hugoniot temperatures journal November 2009
Catalytic behaviour of dense hot water journal March 2009
Synthesis of glycine-containing complexes in impacts of comets on early Earth journal September 2010
DFTB+, a Sparse Matrix-Based Implementation of the DFTB Method journal July 2007
Self-consistent-charge density-functional tight-binding method for simulations of complex materials properties journal September 1998
Construction of tight-binding-like potentials on the basis of density-functional theory: Application to carbon journal May 1995
Density-functional tight-binding for beginners journal November 2009
Decomposition of HMX at Extreme Conditions:  A Molecular Dynamics Simulation journal August 2002
Electronic structure of solid nitromethane: Effects of high pressure and molecular vacancies journal July 2002
Early chemistry in hot and dense nitromethane: Molecular dynamics simulations journal June 2004
Nitrogen-Rich Heterocycles as Reactivity Retardants in Shocked Insensitive Explosives journal April 2009
Extending the Density Functional Tight Binding Method to Carbon Under Extreme Conditions journal November 2011
Three-Center Corrections to the NaCl Valence Band journal October 1967
Environment-dependent tight-binding potential model journal January 1996
Charge transfer in ab initio real-space molecular dynamics journal October 1992
Tight-binding total-energy method for transition and noble metals journal November 1994
Environment-dependent tight-binding model for molybdenum journal January 1998
Fast Parallel Algorithms for Short-Range Molecular Dynamics journal March 1995
Ab initiomolecular dynamics for liquid metals journal January 1993
Ab initio molecular-dynamics simulation of the liquid-metal–amorphous-semiconductor transition in germanium journal May 1994
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Thermal Properties of the Inhomogeneous Electron Gas journal March 1965
Projector augmented-wave method journal December 1994
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Special points for Brillouin-zone integrations journal June 1976
High-pressure structural and electronic properties of carbon journal August 1987
Atmospheric-pressure stability of energetic phases of carbon journal December 1991
Structural and electronic properties of carbon in hybrid diamond-graphite structures journal December 2005
First-principles multiphase equation of state of carbon under extreme conditions journal July 2008
Improved Description of the Structure of Molecular and Layered Crystals: Ab Initio DFT Calculations with van der Waals Corrections journal November 2010
Pressure-dependent mechanical stability of simple cubic carbon journal July 2011
Density-functional calculation of the shock Hugoniot for diamond journal December 2007
ReaxFF:  A Reactive Force Field for Hydrocarbons journal October 2001
Properties of diamond under hydrostatic pressures up to 140 GPa journal February 2003
Parametrization and Benchmark of DFTB3 for Organic Molecules journal November 2012
Variational quantum Monte Carlo nonlocal pseudopotential approach to solids: Formulation and application to diamond, graphite, and silicon journal August 1990
Effective force fields for condensed phase systems from ab initio molecular dynamics simulation: A new method for force-matching journal June 2004
Shock compression of diamond crystal journal April 1983
A Method for Tractable Dynamical Studies of Single and Double Shock Compression journal June 2003
Analysis of simulation technique for steady shock waves in materials with analytical equations of state journal November 2006
Electron-Ion Coupling in Shocked Energetic Materials journal November 2011
Anomalous sound propagation and slow kinetics in dynamically compressed amorphous carbon journal January 2010
Laser-shock compression of diamond and evidence of a negative-slope melting curve journal March 2007

Cited By (3)

Adaptive frozen orbital treatment for the fragment molecular orbital method combined with density-functional tight-binding journal February 2018
Synthesis of functionalized nitrogen-containing polycyclic aromatic hydrocarbons and other prebiotic compounds in impacting glycine solutions journal January 2019
Semiempirical Quantum Mechanical Methods for Noncovalent Interactions for Chemical and Biochemical Applications journal April 2016

Similar Records

A Density Functional Tight Binding Model with an Extended Basis Set and Three-Body Repulsion for Hydrogen under Extreme Thermodynamic Conditions
Journal Article · Tue Jun 24 00:00:00 EDT 2014 · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory · OSTI ID:1466147

Extending the Density Functional Tight Binding Method to Carbon Under Extreme Conditions
Journal Article · Wed Nov 16 00:00:00 EST 2011 · Journal of Physical Chemistry. C · OSTI ID:1466147

Density-Functional Tight-Binding Parameters for Bulk Zirconium: A Case Study for Repulsive Potentials
Journal Article · Mon Mar 01 00:00:00 EST 2021 · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory · OSTI ID:1466147