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Density-Functional Tight-Binding Parameters for Bulk Zirconium: A Case Study for Repulsive Potentials

Journal Article · · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory
 [1];  [2];  [3];  [2];  [4]
  1. Nagoya Univ. (Japan); Univ. Gadjah Mada, Yogyakarta (Indonesia)
  2. National Chiao Tung Univ., Hsinchu (Taiwan)
  3. Waseda Univ., Tokyo (Japan)
  4. Nagoya Univ. (Japan); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Density-functional tight-binding (DFTB) parameters are presented for the simulation of the bulk phases of zirconium. Electronic parameters were obtained using a band structure fitting strategy, while two-center repulsive potentials were created by particle swarm optimization. As objective functions for the repulsive potential fitting, we employed the Birch–Murnaghan equations of state for hexagonal close-packed (HCP), body-centered cubic (BCC) and ω phases of Zr from density-functional theory (DFT). When fractional atomic coordinates are not allowed to change in the generation of the equation-of-state curves, long-range repulsive DFTB potentials are able to almost perfectly reproduce equilibrium structures, relative DFT energies of the bulk phases, and bulk moduli. However, the same potentials lead to artifacts in the DFTB potential energy surfaces when atom positions in the unit cell are allowed to fully relax during the change of unit cell parameters. Finally, conventional short-range repulsive DFTB potentials, while inferior in their ability to reproduce DFT bulk energetics, are able to correctly reproduce the qualitative shape of the DFT potential energy surfaces, including the location of global minima, and can therefore be considered more transferable.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE; Ministry of Science and Technology of Taiwan
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1777751
Journal Information:
Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory, Journal Name: Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory Journal Issue: 10 Vol. 125; ISSN 1089-5639
Publisher:
American Chemical SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (42)

Automatized Parameterization of the Density‐functional Tight‐binding Method. II. Two‐center Integrals journal August 2015
Possible improvements to the self-consistent-charges density-functional tight-binding method within the second order journal December 2011
The embedded-atom method: a review of theory and applications journal March 1993
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Compressibility of 22 elemental solids to 45 KB journal January 1972
Ceramic materials for thermal barrier coatings journal January 2004
Density-functional tight-binding for beginners journal November 2009
First-principles study on the structural stabilities, electronic and elastic properties for zirconium under pressure journal November 2010
CuO/ZrO2 catalysts for water–gas shift reaction: Nature of catalytically active copper species journal March 2014
Experimental constraints on the phase diagram of elemental zirconium journal July 2005
Observation of FCC-Zr phase in as-cast Zircaloy-4 alloy journal May 2020
Mechanisms for deformation induced hexagonal close-packed structure to face-centered cubic structure transformation in zirconium journal April 2017
Automatized Parameterization of DFTB Using Particle Swarm Optimization journal December 2015
Automated Repulsive Parametrization for the DFTB Method journal July 2011
ReaxFF:  A Reactive Force Field for Hydrocarbons journal October 2001
DFTB+, a Sparse Matrix-Based Implementation of the DFTB Method journal July 2007
Relativistic Parametrization of the Self-Consistent-Charge Density-Functional Tight-Binding Method. 1. Atomic Wave Functions and Energies journal July 2007
Automatized Parametrization of SCC-DFTB Repulsive Potentials: Application to Hydrocarbons journal October 2009
Solid oxide fuel cells—a challenge for materials chemists? journal January 2006
Development of density-functional tight-binding repulsive potentials for bulk zirconia using particle swarm optimization algorithm
  • Hutama, Aulia S.; Nishimura, Yoshifumi; Chou, Chien-Pin
  • PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF COMPUTATIONAL METHODS IN SCIENCES AND ENGINEERING 2017 (ICCMSE-2017), AIP Conference Proceedings https://doi.org/10.1063/1.5012294
conference January 2017
DFTB+, a software package for efficient approximate density functional theory based atomistic simulations journal March 2020
Full-potential calculations using the generalized-gradient corrections: structural properties of Ti, Zr and Hf under compression journal January 1998
Finite basis set corrections to total energy pseudopotential calculations journal May 1990
Phase transition and elastic constants of zirconium from first-principles calculations journal May 2008
Phase changes and the equation of state of Zr journal August 2005
Finite Elastic Strain of Cubic Crystals journal June 1947
Simplified LCAO Method for the Periodic Potential Problem journal June 1954
Diffuse Surface Optical Model for Nucleon-Nuclei Scattering journal July 1954
"Special points for Brillouin-zone integrations"—a reply journal August 1977
Phonon dispersion of the bcc phase of group-IV metals. II. bcc zirconium, a model case of dynamical precursors of martensitic transitions journal May 1991
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
Projector augmented-wave method journal December 1994
Construction of tight-binding-like potentials on the basis of density-functional theory: Application to carbon journal May 1995
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Self-consistent-charge density-functional tight-binding method for simulations of complex materials properties journal September 1998
Elastic stability and electronic structure of fcc Ti, Zr, and Hf: A first-principles study journal February 2002
Thermal equations of state of the α , β , and ω phases of zirconium journal May 2005
Ab initio calculations of the thermodynamics and phase diagram of zirconium journal October 2008
Lattice constants and cohesive energies of alkali, alkaline-earth, and transition metals: Random phase approximation and density functional theory results journal June 2013
New high-pressure phase transition in zirconium metal journal January 1990
Generalized Gradient Approximation Made Simple journal October 1996