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Thermodynamic modeling of the Nb-Ni system with uncertainty quantification using PyCalphad and ESPEI

Journal Article · · Calphad
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  1. Pennsylvania State Univ., University Park, PA (United States)
  2. Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Here, the Nb–Ni system is remodeled with uncertainty quantification (UQ) using software tools of PyCalphad and ESPEI (the Extensible, Self-optimizing Phase Equilibria Infrastructure) with the presently implemented capability of modeling site fraction based on Wyckoff positions. The five- and three-sublattice models are used to model the topologically close pack (TCP) μ-Nb7Ni6 and δ-NbNi3 phases according to their Wyckoff positions. The inputs for CALPHAD-based thermodynamic modeling include the thermochemical data as a function of temperature predicted by first-principles and phonon calculations based on density functional theory (DFT), ab initio molecular dynamics (AIMD) simulations, together with phase equilibrium and site fraction data in the literature. In addition to phase diagram and thermodynamic properties, the CALPHAD-based predictions of site fractions of Nb in μ-Nb7Ni6 agree well with experimental data. Furthermore, the UQ estimation using the Markov Chain Monte Carlo (MCMC) method as implemented in ESPEI is applied to study the uncertainty of site fraction in μ-Nb7Ni6 and enthalpy of mixing (ΔHmix) in liquid.
Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
National Science Foundation (NSF); US Department of the Navy, Office of Naval Research (ONR); USDOE; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Scientific User Facilities (SUF)
Grant/Contract Number:
AC02-05CH11231; AC52-07NA27344
OSTI ID:
2205728
Alternate ID(s):
OSTI ID: 2427467
OSTI ID: 1984892
Report Number(s):
LLNL--JRNL-846960; LLNL-JRNL-835272; 1071435
Journal Information:
Calphad, Journal Name: Calphad Vol. 82; ISSN 0364-5916
Publisher:
ElsevierCopyright Statement
Country of Publication:
United States
Language:
English

References (53)

Cloning and mapping of CDC40, a Saccharomyces cerevisiae gene with a role in DNA repair journal April 1985
Temperature dependence of the elastic constants of niobium and lead in the normal and superconducting states journal July 1973
A reassessment of the calculated Ni-Nb phase diagram journal April 1996
Experimental investigation of the Nb-Ni phase diagram journal September 2005
The thermodynamic reassessment of the binary Al–Cu system journal October 2020
Key Experiments and Thermodynamic Description of the Co-Nb-Ni System journal September 2020
First-Principles Calculations and CALPHAD Modeling of Thermodynamics journal September 2009
Materials Design and Discovery with High-Throughput Density Functional Theory: The Open Quantum Materials Database (OQMD) journal September 2013
On the Precipitation of Intermetallic Compounds in Selected Solid-Solution-Strengthened Ni-Base Alloys and Their Effects on Mechanical Properties journal April 2017
Tensile Properties of Cast Alloy IN625 in Relation to δ Phase Precipitation journal June 2018
The equilibrium diagram of the system niobium-nickel journal December 1966
Coupled phase diagrams and thermochemical data for transition metal binary systems — II journal January 1978
SGTE data for pure elements journal October 1991
A thermodynamic calculation of the Ni-Nb phase diagram journal February 1992
Contribution of the Rietveld method to non-stoichiometric phase modeling. Part II: α-Tl5Te3 and μ Nb-Ni as experimental examples journal September 2002
The compound energy formalism journal May 2001
Thermodynamic properties of Al, Ni, NiAl, and Ni3Al from first-principles calculations journal May 2004
TCP phase predictions in Ni-based superalloys: Structure maps revisited journal January 2011
Elemental site occupancy in the L12 A3B ordered intermetallic phase in Co-based superalloys and its influence on the microstructure journal January 2019
Quantified uncertainty in thermodynamic modeling for materials design journal August 2019
Assessment of the niobium–nickel system journal September 2004
Refinement of the thermodynamic modeling of the Nb–Ni system journal September 2006
Calphad-type assessment of the Fe–Nb–Ni ternary system journal March 2009
First-principles thermodynamics from phonon and Debye model: Application to Ni and Ni3Al journal February 2010
Extensible Structure-Informed Prediction of Formation Energy with improved accuracy and usability employing neural networks journal June 2022
Effect of TCP phase formation on the electrochemical corrosion behavior of the nickel-based superalloy UNS N26455 journal December 2020
The Fe–Ni system: Thermodynamic modelling assisted by atomistic calculations journal June 2010
Accuracy of a selection criterion for glass forming ability in the Ni–Nb–Zr system journal December 2014
Thermodynamic reassessment of Nb-Ni-Ti system with order–disorder model journal January 2015
Insights on phase formation from thermodynamic calculations and machine learning of 2436 experimentally measured high entropy alloys journal September 2022
A new thermodynamically stable Nb2Ni intermetallic compound phase revealed by peritectoid transition within binary Nb-Ni alloy system journal February 2022
Influence of TCP phase and its morphology on creep properties of single crystal nickel-based superalloys journal August 2010
Plasticity and fracture behavior of Inconel 625 manufactured by laser powder bed fusion: Comparison between as-built and stress relieved conditions journal March 2021
Algebraic Representation of Thermodynamic Properties and the Classification of Solutions journal February 1948
The Open Quantum Materials Database (OQMD): assessing the accuracy of DFT formation energies journal December 2015
The joint automated repository for various integrated simulations (JARVIS) for data-driven materials design journal November 2020
Atomistic Line Graph Neural Network for improved materials property predictions journal November 2021
A unified formulation of the constant temperature molecular dynamics methods journal July 1984
Commentary: The Materials Project: A materials genome approach to accelerating materials innovation journal July 2013
Using first-principles results to calculate finite-temperature thermodynamic properties of the Nb–Ni μ phase in the Bragg–Williams approximation journal April 2006
emcee : The MCMC Hammer
  • Foreman-Mackey, Daniel; Hogg, David W.; Lang, Dustin
  • Publications of the Astronomical Society of the Pacific, Vol. 125, Issue 925 https://doi.org/10.1086/670067
journal March 2013
The structure and paramagnetism of Ni 3 Nb journal March 1992
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Generalized Gradient Approximation Made Simple journal October 1996
Complex alloy structures regarded as sphere packings. I. Definitions and basic principles journal March 1958
Short-Range Order and the Nucleation of Long-Range Order in Ni-Rich Nickel-Niobium Alloys journal January 1971
Mixing Enthalpies of Liquid Ni-V, Ni-Nb and Ni-Ta Alloys Measured by Levitation Alloying Calorimetry journal January 1996
Analysis of Phase Transformations in Inconel 625 Alloy during Annealing journal October 2016
ESPEI for efficient thermodynamic database development, modification, and uncertainty quantification: application to Cu–Mg journal June 2019
Ensemble samplers with affine invariance journal January 2010
Reassessment of Liquid/Solid Equilibrium in Ni-Rich Side of Ni-Nb and Ni-Ti Systems journal January 2010
Influence de la Pression sur la Croissance des Couches des Composés Intermétalliques dans les Couples de Diffusion Niobium/Nickel journal January 1975
pycalphad: CALPHAD-based Computational Thermodynamics in Python journal January 2017