An in situ USAXS–SAXS–WAXS study of precipitate size distribution evolution in a model Ni-based alloy
Abstract
Intermetallic γ' precipitates typically strengthen nickel-based superalloys. The shape, size and spatial distribution of strengthening precipitates critically influence alloy strength, while their temporal evolution characteristics determine the high-temperature alloy stability. Combined ultra-small-, small- and wide-angle X-ray scattering (USAXS–SAXS–WAXS) analysis can be used to evaluate the temporal evolution of an alloy's precipitate size distribution (PSD) and phase structure duringin situheat treatment. Analysis of PSDs from USAXS–SAXS data employs either least-squares fitting of a preordained PSD model or a maximum entropy (MaxEnt) approach, the latter avoidinga prioridefinition of a functional form of the PSD. However, strong low-qscattering from grain boundaries and/or structure factor effects inhibit MaxEnt analysis of typical alloys. Lastly, this work describes the extension of Bayesian–MaxEnt analysis methods to data exhibiting structure factor effects and low-qpower law slopes and demonstrates their use in anin situstudy of precipitate size evolution during heat treatment of a model Ni–Al–Si alloy.
- Authors:
-
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Energy Efficiency and Renewable Energy (EERE), Vehicle Technologies Office (EE-3V)
- OSTI Identifier:
- 1366390
- Grant/Contract Number:
- AC05-00OR22725; AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Applied Crystallography (Online)
- Additional Journal Information:
- Journal Name: Journal of Applied Crystallography (Online); Journal Volume: 50; Journal Issue: 3; Journal ID: ISSN 1600-5767
- Publisher:
- International Union of Crystallography
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; ultra-small-angle X-ray scattering; small-angle X-ray scattering; wide-angle X-ray scattering; USAXS–SAXS–WAXS; precipitation hardening; Bayesian inverse transformation
Citation Formats
Andrews, Ross N., Serio, Joseph A., Muralidharan, Govindarajan, and Ilavsky, Jan. An in situ USAXS–SAXS–WAXS study of precipitate size distribution evolution in a model Ni-based alloy. United States: N. p., 2017.
Web. doi:10.1107/S1600576717006446.
Andrews, Ross N., Serio, Joseph A., Muralidharan, Govindarajan, & Ilavsky, Jan. An in situ USAXS–SAXS–WAXS study of precipitate size distribution evolution in a model Ni-based alloy. United States. https://doi.org/10.1107/S1600576717006446
Andrews, Ross N., Serio, Joseph A., Muralidharan, Govindarajan, and Ilavsky, Jan. Tue .
"An in situ USAXS–SAXS–WAXS study of precipitate size distribution evolution in a model Ni-based alloy". United States. https://doi.org/10.1107/S1600576717006446. https://www.osti.gov/servlets/purl/1366390.
@article{osti_1366390,
title = {An in situ USAXS–SAXS–WAXS study of precipitate size distribution evolution in a model Ni-based alloy},
author = {Andrews, Ross N. and Serio, Joseph A. and Muralidharan, Govindarajan and Ilavsky, Jan},
abstractNote = {Intermetallic γ' precipitates typically strengthen nickel-based superalloys. The shape, size and spatial distribution of strengthening precipitates critically influence alloy strength, while their temporal evolution characteristics determine the high-temperature alloy stability. Combined ultra-small-, small- and wide-angle X-ray scattering (USAXS–SAXS–WAXS) analysis can be used to evaluate the temporal evolution of an alloy's precipitate size distribution (PSD) and phase structure duringin situheat treatment. Analysis of PSDs from USAXS–SAXS data employs either least-squares fitting of a preordained PSD model or a maximum entropy (MaxEnt) approach, the latter avoidinga prioridefinition of a functional form of the PSD. However, strong low-qscattering from grain boundaries and/or structure factor effects inhibit MaxEnt analysis of typical alloys. Lastly, this work describes the extension of Bayesian–MaxEnt analysis methods to data exhibiting structure factor effects and low-qpower law slopes and demonstrates their use in anin situstudy of precipitate size evolution during heat treatment of a model Ni–Al–Si alloy.},
doi = {10.1107/S1600576717006446},
journal = {Journal of Applied Crystallography (Online)},
number = 3,
volume = 50,
place = {United States},
year = {Tue May 30 00:00:00 EDT 2017},
month = {Tue May 30 00:00:00 EDT 2017}
}
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Works referenced in this record:
Ultra-small-angle X-ray scattering at the Advanced Photon Source
journal, April 2009
- Ilavsky, Jan; Jemian, Pete R.; Allen, Andrew J.
- Journal of Applied Crystallography, Vol. 42, Issue 3
Global optimization of statistical functions with simulated annealing
journal, January 1994
- Goffe, William L.; Ferrier, Gary D.; Rogers, John
- Journal of Econometrics, Vol. 60, Issue 1-2
Simultaneous estimation of the form factor and structure factor for globular particles in small-angle scattering
journal, March 2008
- Hansen, Steen
- Journal of Applied Crystallography, Vol. 41, Issue 2
Trans-interface diffusion-controlled coarsening
journal, March 2005
- Ardell, Alan J.; Ozolins, Vidvuds
- Nature Materials, Vol. 4, Issue 4
Ultra-Small-Angle X-ray Scattering Instrument at the Advanced Photon Source: History, Recent Development, and Current Status
journal, October 2012
- Ilavsky, J.; Zhang, F.; Allen, A. J.
- Metallurgical and Materials Transactions A, Vol. 44, Issue 1
Ostwald Ripening of Two-Phase Mixtures
journal, January 1992
- Voorhees, P.
- Annual Review of Materials Research, Vol. 22, Issue 1
The kinetics of precipitation from supersaturated solid solutions
journal, April 1961
- Lifshitz, I. M.; Slyozov, V. V.
- Journal of Physics and Chemistry of Solids, Vol. 19, Issue 1-2
Experimental evaluation of particle coarsening theories
journal, May 1990
- Jayanth, C. S.; Nash, P.
- Materials Science and Technology, Vol. 6, Issue 5
Light scattering of a concentrated multicomponent system of hard spheres in the Percus–Yevick approximation
journal, August 1978
- Vrij, A.
- The Journal of Chemical Physics, Vol. 69, Issue 4
Update for BayesApp : a web site for analysis of small-angle scattering data
journal, July 2014
- Hansen, Steen
- Journal of Applied Crystallography, Vol. 47, Issue 4
The effect of the shape function on small-angle scattering analysis by the maximum-entropy method
journal, October 1994
- Jemian, P. R.; Allen, A. J.
- Journal of Applied Crystallography, Vol. 27, Issue 5
Microstructural stability at elevated temperatures
journal, October 1999
- Ardell, Alan J.
- Journal of the European Ceramic Society, Vol. 19, Issue 13-14
Review Progress in Ostwald ripening theories and their applications to nickel-base superalloys Part I: Ostwald ripening theories
journal, January 2002
- Baldan, A.
- Journal of Materials Science, Vol. 37, Issue 11, p. 2171-2202
Small-Angle Scattering of Interacting Particles. I. Basic Principles of a Global Evaluation Technique
journal, August 1997
- Brunner-Popela, J.; Glatter, O.
- Journal of Applied Crystallography, Vol. 30, Issue 4
Structure and interaction in dense colloidal systems: evaluation of scattering data by the generalized indirect Fourier transformation method
journal, August 2006
- Fritz, Gerhard; Glatter, Otto
- Journal of Physics: Condensed Matter, Vol. 18, Issue 36
A new method for the evaluation of small-angle scattering data
journal, October 1977
- Glatter, O.
- Journal of Applied Crystallography, Vol. 10, Issue 5
Bayesian estimation of hyperparameters for indirect Fourier transformation in small-angle scattering
journal, December 2000
- Hansen, Steen
- Journal of Applied Crystallography, Vol. 33, Issue 6
BayesApp : a web site for indirect transformation of small-angle scattering data
journal, May 2012
- Hansen, Steen
- Journal of Applied Crystallography, Vol. 45, Issue 3
Irena : tool suite for modeling and analysis of small-angle scattering
journal, February 2009
- Ilavsky, Jan; Jemian, Peter R.
- Journal of Applied Crystallography, Vol. 42, Issue 2
Factors affecting particle-coarsening kinetics and size distribution
journal, September 1989
- Jayanth, C. S.; Nash, Philip
- Journal of Materials Science, Vol. 24, Issue 9
Coarsening kinetics of coherent γ′ precipitates in ternary Ni–based alloys: the Ni–Al–Si system
journal, January 2000
- Muralidharan, G.; Chen, H.
- Science and Technology of Advanced Materials, Vol. 1, Issue 1
Determination of the regularization parameter in indirect-transform methods using perceptual criteria
journal, August 1992
- Svergun, D. I.
- Journal of Applied Crystallography, Vol. 25, Issue 4, p. 495-503
Application of Bayesian analysis to indirect Fourier transformation in small-angle scattering
journal, November 2006
- Vestergaard, Bente; Hansen, Steen
- Journal of Applied Crystallography, Vol. 39, Issue 6
The theory of Ostwald ripening
journal, January 1985
- Voorhees, P. W.
- Journal of Statistical Physics, Vol. 38, Issue 1-2
Ostwald Ripening of Two-Phase Mixtures
journal, August 1992
- Voorhees, P. W.
- Annual Review of Materials Science, Vol. 22, Issue 1
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- Milkereit, Benjamin; Starink, Marco J.; Rometsch, Paul A.
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- Paul, Tanaji; Zhang, Linqi; Biswas, Sourabh
- Scientific Reports, Vol. 9, Issue 1