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Enhancing the accuracy and generality of the Debye–Grüneisen Model: Optimizing the volume dependence for accurate predictions across varied compositions

Journal Article · · Materialia
In this work, we have introduced an optimized Debye-Grüneisen model that revolutionizes the determination of the Debye temperature and Grüneisen parameters. Unlike conventional methods, our model requires only the 0 K energy volume data for a material as input, eliminating the need to determine the bulk modulus and its pressure derivative, which often pose challenges due to numerical uncertainties. This unique feature sets our model apart from existing approaches and streamlines the process, enabling accurate predictions of thermal expansion behavior across various materials. To demonstrate its effectiveness, we showcase its excellent agreement with measured coefficients of thermal expansion (CTE) for the nickel-cobalt-chromium-aluminum-yttrium (Ni-Co-Cr-Al-Y) bond-coating system. Additionally, we apply our approach by conducting a high-throughput search for potential bond-coating materials among 90,000 compositions within the aluminum-cobalt-chromium-iron-nickel (Al-Co-Cr-Fe-Ni) system. From this extensive search, four compositions are synthesized, and the measured CTE values agree very well with theoretical predictions, hence validating our approach. In conclusion, the current optimized Debye-Grüneisen model combined with Density Functional Theory (DFT)-based thermodynamic database enables reliable and efficient high-throughput calculations of CTE of of a material without expensive phonon calculations.
Research Organization:
National Energy Technology Laboratory (NETL), Pittsburgh, PA, Morgantown, WV, and Albany, OR (United States)
Sponsoring Organization:
National Energy Research Scientific Computing Center (NERSC); USDOE Office of Energy Efficiency and Renewable Energy (EERE); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
EE0010214
OSTI ID:
2998575
Alternate ID(s):
OSTI ID: 2479972
Journal Information:
Materialia, Journal Name: Materialia Vol. 38; ISSN 2589-1529
Publisher:
Elsevier BVCopyright Statement
Country of Publication:
United States
Language:
English

References (28)

Mean-field potential approach to the quasiharmonic theory of solids journal January 2003
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Thermodynamic properties of Al, Ni, NiAl, and Ni3Al from first-principles calculations journal May 2004
Ab initio thermodynamics of the CoCrFeMnNi high entropy alloy: Importance of entropy contributions beyond the configurational one journal November 2015
A thermochemical database from high-throughput first-principles calculations and its application to analyzing phase evolution in AM-fabricated IN718 journal November 2022
Microstructure characteristics of a René N5 Ni-based single-crystal superalloy prepared by laser-directed energy deposition journal January 2023
Efficient stochastic generation of special quasirandom structures journal September 2013
Assessment of thermal expansion coefficient for pure metals journal December 2013
DFTTK: Density Functional Theory ToolKit for high-throughput lattice dynamics calculations journal December 2021
First-principles thermodynamics from phonon and Debye model: Application to Ni and Ni3Al journal February 2010
Analytic model of the Grüneisen parameter all densities journal August 2004
Thermal expansion of MCrAlY alloys journal January 2004
Thermomechanical response of thermoelectrics journal November 2016
Uncertainty quantification of DFT-predicted finite temperature thermodynamic properties within the Debye model journal December 2019
A review of the thermal expansion of magnetite journal September 2018
QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials journal September 2009
A first-principles approach to finite temperature elastic constants journal May 2010
Inhomogeneous Electron Gas journal November 1964
Self-Consistent Equations Including Exchange and Correlation Effects journal November 1965
Calculated thermal properties of metals journal January 1988
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
First-principles study of ternary fcc solution phases from special quasirandom structures journal October 2007
Special quasirandom structures journal July 1990
Generalized Gradient Approximation Made Simple journal October 1996
First-Principles Determination of the Soft Mode in Cubic ZrO 2 journal May 1997
Calculated Equation of State of Al, Cu, Ta, Mo, and W to 1000 GPa journal April 2000
Comparison of thermal expansion and oxidation behavior of various high-temperature coating materials and superalloys journal January 2004
The generalized simplex method for minimizing a linear form under linear inequality restraints journal January 1955