Computational modeling and neutron imaging to understand interface shape and solute segregation during the vertical gradient freeze growth of BaBrCl:Eu
Abstract
In this work we apply continuum models to analyze phase change, heat transfer, fluid flow, solute transport, and segregation in order to understand prior neutron imaging observations of the vertical gradient freeze growth of Eu-doped BaBrCl. The models provide a rigorous framework in which to understand the mechanisms that are responsible for the complicated evolution of interface shape and dopant distribution in the growth experiment. We explain how a transition in the solid/liquid interface shape from concave to convex is driven by changes in radial heat transfer caused by furnace design. We also provide a mechanistic explanation of how dynamic growth conditions and changes of the flow structure in the melt result in complicated segregation patterns in this system. A growth pause caused by controller lock-up is shown to result in a band of solute depletion in accordance with classical theory. However, changing flow patterns during growth result in a non-monotonic axial distribution of solute that cannot be explained by simple application of classical segregation models. We assert that the approach presented here, namely the use of rigorous models in conjunction advanced diagnostics, such as neutron imaging, provides an exciting path forward for process optimization and control, accelerating the incrementalmore »
- Authors:
-
- Univ. of Minnesota, Minneapolis, MN (United States)
- Univ. of California, Berkeley, CA (United States)
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA). Office of Defense Nuclear Nonproliferation R&D (NA-22); USDOE
- OSTI Identifier:
- 1605133
- Alternate Identifier(s):
- OSTI ID: 1775936
- Report Number(s):
- LA-UR-19-32682
Journal ID: ISSN 0022-0248
- Grant/Contract Number:
- 89233218CNA000001; NA0002514; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Crystal Growth
- Additional Journal Information:
- Journal Volume: 536; Journal Issue: C; Journal ID: ISSN 0022-0248
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; A1. Computer simulation; A1. Heat transfer; A1. Segregation; A1. Neutron imaging; A2. Bridgman technique; B2. Scintillator materials
Citation Formats
Derby, Jeffrey J., Zhang, Chang, Seebeck, Jan, Peterson, Jeffrey H., Tremsin, Anton S., Perrodin, Didier, Bizarri, Gregory A., Bourret, Edith D., Losko, Adrian Simon, and Vogel, Sven C. Computational modeling and neutron imaging to understand interface shape and solute segregation during the vertical gradient freeze growth of BaBrCl:Eu. United States: N. p., 2020.
Web. doi:10.1016/j.jcrysgro.2020.125572.
Derby, Jeffrey J., Zhang, Chang, Seebeck, Jan, Peterson, Jeffrey H., Tremsin, Anton S., Perrodin, Didier, Bizarri, Gregory A., Bourret, Edith D., Losko, Adrian Simon, & Vogel, Sven C. Computational modeling and neutron imaging to understand interface shape and solute segregation during the vertical gradient freeze growth of BaBrCl:Eu. United States. https://doi.org/10.1016/j.jcrysgro.2020.125572
Derby, Jeffrey J., Zhang, Chang, Seebeck, Jan, Peterson, Jeffrey H., Tremsin, Anton S., Perrodin, Didier, Bizarri, Gregory A., Bourret, Edith D., Losko, Adrian Simon, and Vogel, Sven C. Thu .
"Computational modeling and neutron imaging to understand interface shape and solute segregation during the vertical gradient freeze growth of BaBrCl:Eu". United States. https://doi.org/10.1016/j.jcrysgro.2020.125572. https://www.osti.gov/servlets/purl/1605133.
@article{osti_1605133,
title = {Computational modeling and neutron imaging to understand interface shape and solute segregation during the vertical gradient freeze growth of BaBrCl:Eu},
author = {Derby, Jeffrey J. and Zhang, Chang and Seebeck, Jan and Peterson, Jeffrey H. and Tremsin, Anton S. and Perrodin, Didier and Bizarri, Gregory A. and Bourret, Edith D. and Losko, Adrian Simon and Vogel, Sven C.},
abstractNote = {In this work we apply continuum models to analyze phase change, heat transfer, fluid flow, solute transport, and segregation in order to understand prior neutron imaging observations of the vertical gradient freeze growth of Eu-doped BaBrCl. The models provide a rigorous framework in which to understand the mechanisms that are responsible for the complicated evolution of interface shape and dopant distribution in the growth experiment. We explain how a transition in the solid/liquid interface shape from concave to convex is driven by changes in radial heat transfer caused by furnace design. We also provide a mechanistic explanation of how dynamic growth conditions and changes of the flow structure in the melt result in complicated segregation patterns in this system. A growth pause caused by controller lock-up is shown to result in a band of solute depletion in accordance with classical theory. However, changing flow patterns during growth result in a non-monotonic axial distribution of solute that cannot be explained by simple application of classical segregation models. We assert that the approach presented here, namely the use of rigorous models in conjunction advanced diagnostics, such as neutron imaging, provides an exciting path forward for process optimization and control, accelerating the incremental advances that have, in the past, typically relied on empiricism, experience, and intuition.},
doi = {10.1016/j.jcrysgro.2020.125572},
journal = {Journal of Crystal Growth},
number = C,
volume = 536,
place = {United States},
year = {Thu Feb 27 00:00:00 EST 2020},
month = {Thu Feb 27 00:00:00 EST 2020}
}
Web of Science
Works referenced in this record:
Certain Physical Properties of Single Crystals of Tungsten, Antimony, Bismuth, Tellurium, Cadmium, Zinc, and Tin
journal, January 1925
- Bridgman, P. W.
- Proceedings of the American Academy of Arts and Sciences, Vol. 60, Issue 6
Eine Methode zur Herstellung einkristalliger Metalle
journal, December 1924
- Obreimow, I.; Schubnikow, L.
- Zeitschrift f�r Physik, Vol. 25, Issue 1
The Production of Large Single Crystals of Lithium Fluoride
journal, March 1936
- Stockbarger, Donald C.
- Review of Scientific Instruments, Vol. 7, Issue 3
Quantitative Analysis of Microsegregation in Silicon Grown by the Czochralski Method
journal, February 1976
- Murgai, A.; Gatos, H. C.; Witt, A. F.
- Journal of The Electrochemical Society, Vol. 123, Issue 2
Quantitative Analysis of the Effects of Destabilizing Vertical Thermal Gradients on Crystal Growth and Segregation: Ga‐Doped Ge
journal, March 1978
- Kim, K. M.; Witt, A. F.; Lichtensteiger, M.
- Journal of The Electrochemical Society, Vol. 125, Issue 3
The effect of fluctuating growth rates on segregation in crystals grown from the melt
journal, March 1980
- Wilson, Lynn O.
- Journal of Crystal Growth, Vol. 48, Issue 3
Growth rate dependence of the interface distribution coefficient in the system Ge-Ga
journal, November 1982
- Wang, C. A.; Carruthers, J. R.; Witt, A. F.
- Journal of Crystal Growth, Vol. 60, Issue 1
Analysis of crystal growth characteristics in a conventional vertical Bridgman configuration
journal, March 1984
- Wang, C. A.; Witt, A. F.; Carruthers, J. R.
- Journal of Crystal Growth, Vol. 66, Issue 2
Lateral photovoltage scanning (LPS) method for the visualization of the solid–liquid interface of Si1−xGex single crystals
journal, April 2002
- Abrosimov, N. V.; Lüdge, A.; Riemann, H.
- Journal of Crystal Growth, Vol. 237-239
Photoluminescence of Cd1—xZnxTe Crystals Grown by High-Pressure Bridgman Technique
journal, August 1997
- Hjelt, K.; Juvonen, M.; Tuomi, T.
- physica status solidi (a), Vol. 162, Issue 2
Anomalous segregation during electrodynamic gradient freeze growth of cadmium zinc telluride
journal, June 2011
- Zhang, Nan; Yeckel, Andrew; Burger, Arnold
- Journal of Crystal Growth, Vol. 325, Issue 1
Interface shapes during vertical bridgman growth of (Pb, Sn)Te crystals
journal, July 1990
- Huang, Yu; Debnam, William J.; Fripp, Archibald L.
- Journal of Crystal Growth, Vol. 104, Issue 2
Growth and interface study of 2in diameter CdZnTe by THM technique
journal, September 2010
- Roy, U. N.; Weiler, S.; Stein, J.
- Journal of Crystal Growth, Vol. 312, Issue 19
Thermal fields in the bridgman-Stockbarger technique
journal, November 1985
- Potts, Hilary; Wilcox, William R.
- Journal of Crystal Growth, Vol. 73, Issue 2
Convection in the vertical Bridgman-Stockbarger technique
journal, June 1988
- Neugebauer, Gregory T.; Wilcox, William R.
- Journal of Crystal Growth, Vol. 89, Issue 2-3
Growth and characterization of lead bromide crystals
journal, September 1992
- Singh, N. B.; Gottlieb, M.; Henningsen, T.
- Journal of Crystal Growth, Vol. 123, Issue 1-2
A transparent multizone furnace for crystal growth and flow visualization
journal, September 1994
- Lan, C. W.; Yang, D. T.; Ting, C. C.
- Journal of Crystal Growth, Vol. 142, Issue 3-4
A Study on the Interface Control of Vertical Bridgman Crystal Growth Using a Transparent Multizone Furnace
journal, March 1996
- Lan, C. W.; Ting, C. C.
- Chemical Engineering Communications, Vol. 145, Issue 1
Growth of benzil crystals by vertical dynamic gradient freeze technique in a transparent furnace
journal, September 1997
- Lan, C. W.; Song, C. R.
- Journal of Crystal Growth, Vol. 180, Issue 1
On-line control of solid–liquid interface by state feedback
journal, September 1999
- Batur, Celal; Srinivasan, Arvind; Duval, Walter M. B.
- Journal of Crystal Growth, Vol. 205, Issue 3
Active control of interface shape during the crystal growth of lead bromide
journal, March 1999
- Seidensticker, R. G.; Rosch, W. R.; Mazelsky, R.
- Journal of Crystal Growth, Vol. 198-199
Auxiliary optical heating for controlled crystal growth
journal, April 2002
- Bates, Stephen C.; Knight, Kim S.
- Journal of Crystal Growth, Vol. 240, Issue 1-2
Vibroconvective mixing applied to vertical Bridgman growth
journal, October 2003
- Zawilski, Kevin T.; Claudia, M.; Custodio, C.
- Journal of Crystal Growth, Vol. 258, Issue 1-2
Growth of 2,5-diphenyloxazole-doped naphthalene crystal by Bridgman method and its fluorescence studies
journal, April 2008
- Balamurugan, N.; Arulchakkaravarthi, A.; Ramasamy, P.
- Journal of Crystal Growth, Vol. 310, Issue 7-9
Heat transfer process during the crystallization of benzil grown by the Bridgman–Stockbarger method
journal, February 2011
- Barvinschi, F.; Stanculescu, A.; Stanculescu, F.
- Journal of Crystal Growth, Vol. 317, Issue 1
Interface control by rotating submerged heater/baffle in vertical Bridgman configuration
journal, September 2018
- Ostrogorsky, A. G.; Riabov, V.; Dropka, N.
- Journal of Crystal Growth, Vol. 498
Exploring growth conditions and Eu2+ concentration effects for KSr2I5:Eu scintillator crystals II: Ø 25 mm crystals
journal, February 2018
- Stand, L.; Zhuravleva, M.; Johnson, J.
- Journal of Crystal Growth, Vol. 483
Crystal Growth and Scintillation Properties of Eu2+ doped Cs4CaI6 and Cs4SrI6
journal, March 2018
- Stand, L.; Zhuravleva, M.; Chakoumakos, B.
- Journal of Crystal Growth, Vol. 486
Crystal growth and scintillation performance of Cs2HfCl6 and Cs2HfCl4Br2
journal, February 2018
- Lam, Stephanie; Guguschev, Christo; Burger, Arnold
- Journal of Crystal Growth, Vol. 483
Technique for the video display of X-ray topographic images and its application to the study of crystal growth
journal, October 1974
- Chikawa, Jun-Ichi
- Journal of Crystal Growth, Vol. 24-25
Observation of the melting-solidification processes of an Al crystal by synchrotron X-ray topography
journal, September 1985
- Grange, G.; Jourdan, C.; Coulet, A. L.
- Journal of Crystal Growth, Vol. 72, Issue 3
A procedure to visualize the melt-solid interface in Bridgman grown germanium and lead tin telluride
journal, January 1986
- Barber, Patrick G.; Crouch, Roger K.; Fripp, Archibald L.
- Journal of Crystal Growth, Vol. 74, Issue 1
In-situ observation of LEC GaAs solid-liquid interface with newly developed X-ray image processing system
journal, August 1986
- Ozawa, S.; Fukuda, T.
- Journal of Crystal Growth, Vol. 76, Issue 2
In-situ observation of solid-liquid interface shape by X-ray radiography during silicon single crystal growth
journal, September 1988
- Kakimoto, Koichi; Eguchi, Minoru; Watanabe, Hisao
- Journal of Crystal Growth, Vol. 91, Issue 4
Direct observation by X-ray radiography of convection of molten silicon in the Czochralski growth method
journal, May 1988
- Kakimoto, Koichi; Eguchi, Minoru; Watanabe, Hisao
- Journal of Crystal Growth, Vol. 88, Issue 3
Direct observation by X-ray radiography of convection of boric oxide in the GaAs liquid encapsulated czochralski growth
journal, February 1989
- Kakimoto, Koichi; Eguchi, Minoru; Watanabe, Hisao
- Journal of Crystal Growth, Vol. 94, Issue 2
Natural and forced convection of molten silicon during Czochralski single crystal growth
journal, February 1989
- Kakimoto, Koichi; Eguchi, Minoru; Watanabe, Hisao
- Journal of Crystal Growth, Vol. 94, Issue 2
Flow instability of molten silicon in the Czochralski configuration
journal, April 1990
- Kakimoto, Koichi; Eguchi, Minoru; Watanabe, Hisao
- Journal of Crystal Growth, Vol. 102, Issue 1-2
In-situ observation of impurity diffusion boundary layer in silicon Czochralski growth
journal, January 1990
- Kakimoto, Koichi; Eguchi, Minoru; Watanabe, Hisao
- Journal of Crystal Growth, Vol. 99, Issue 1-4
In-situ monitoring of dopant concentration variation in a silicon melt during Czochralski growth
journal, July 1991
- Kakimoto, Koichi; Eguchi, Minoru; Hibiya, Taketoshi
- Journal of Crystal Growth, Vol. 112, Issue 4
Double-beam x-ray radiography system for three-dimensional flow visualization of molten silicon convection
journal, October 1993
- Watanabe, Masahito; Eguchi, Minoru; Kakimoto, Koichi
- Journal of Crystal Growth, Vol. 133, Issue 1-2
Crystal–melt interface shape and dislocations during the melting of silicon
journal, January 2003
- Wang, Yuren; Kakimoto, Koichi
- Journal of Crystal Growth, Vol. 247, Issue 1-2
Visualization of liquid-solid interface morphologies in gallium subject to natural convection
journal, July 1994
- Campbell, T. A.; Koster, J. N.
- Journal of Crystal Growth, Vol. 140, Issue 3-4
Radioscopic visualization of indium antimonide growth by the vertical Bridgman-Stockbarger technique
journal, February 1995
- Campbell, T. A.; Koster, J. N.
- Journal of Crystal Growth, Vol. 147, Issue 3-4
A novel vertical Bridgman-Stockbarger crystal growth system with visualization capability
journal, May 1995
- Campbell, T. A.; Koster, J. N.
- Measurement Science and Technology, Vol. 6, Issue 5
A radioscopic technique to study convective fluid dynamics in opaque liquid metals
journal, July 1997
- Koster, J. N.; Seidel, T.; Derebail, R.
- Journal of Fluid Mechanics, Vol. 343
Visualization of convective solidification in a vertical layer of Eutectic Ga-In Melt
journal, December 1996
- Koster, J. N.; Derebail, R.; Grötzbach, A.
- Applied Physics A: Materials Science & Processing, Vol. 64, Issue 1
Visualization study of melting and solidification in convecting hypoeutectic Ga-In alloy
journal, August 1998
- Derebail, R.; Koster, J. N.
- International Journal of Heat and Mass Transfer, Vol. 41, Issue 16
Directional Solidification and Melting of Eutectic GaIn
journal, November 1999
- Koster, J. N.
- Crystal Research and Technology, Vol. 34, Issue 9
A furnace for coherent beam transmission topography applied to ferroelectric crystals: A furnace for coherent beam transmission topography applied to ferroelectric crystals
journal, June 2009
- Pernot, Petra; Gorges, Bernard; Vitoux, Hugo
- physica status solidi (a), Vol. 206, Issue 8
In situ diagnostics of the crystal-growth process through neutron imaging: application to scintillators
journal, April 2016
- Tremsin, Anton S.; Makowska, Małgorzata G.; Perrodin, Didier
- Journal of Applied Crystallography, Vol. 49, Issue 3
High resolution neutron counting detectors with microchannel plates and their applications in neutron radiography, diffraction and resonance absorption imaging
journal, November 2012
- Tremsin, A. S.
- Neutron News, Vol. 23, Issue 4
Optimization of high count rate event counting detector with Microchannel Plates and quad Timepix readout
journal, July 2015
- Tremsin, A. S.; Vallerga, J. V.; McPhate, J. B.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 787
Structure and scintillation of Eu2+-activated BaBrCl and solid solutions in the BaCl2–BaBr2 system
journal, June 2013
- Gundiah, Gautam; Yan, Zewu; Bizarri, Gregory
- Journal of Luminescence, Vol. 138
In-Situ Observation of Phase Separation During Growth of Cs 2 LiLaBr 6 :Ce Crystals Using Energy-Resolved Neutron Imaging
journal, October 2017
- Tremsin, Anton S.; Perrodin, Didier; Losko, Adrian S.
- Crystal Growth & Design, Vol. 17, Issue 12
In-situ observation and analysis of solid-state diffusion and liquid migration in a crystal growth system: A segregation-driven diffusion couple
journal, March 2020
- Tremsin, Anton S.; Perrodin, Didier; Losko, Adrian S.
- Acta Materialia, Vol. 186
The redistribution of solute atoms during the solidification of metals
journal, July 1953
- Tiller, W. A.; Jackson, K. A.; Rutter, J. W.
- Acta Metallurgica, Vol. 1, Issue 4
The Distribution of Solute in Crystals Grown from the Melt. Part I. Theoretical
journal, November 1953
- Burton, J. A.; Prim, R. C.; Slichter, W. P.
- The Journal of Chemical Physics, Vol. 21, Issue 11
A Mathematical Analysis of Solute Redistribution During Solidification
journal, December 1955
- Smith, V. G.; Tiller, W. A.; Rutter, J. W.
- Canadian Journal of Physics, Vol. 33, Issue 12
Theory of transport processes in single crystal growth from the melt
journal, June 1988
- Brown, Robert A.
- AIChE Journal, Vol. 34, Issue 6
Constitutional supercooling surface roughening
journal, March 2004
- Jackson, Kenneth A.
- Journal of Crystal Growth, Vol. 264, Issue 4
Fluid dynamics in crystal growth: The good, the bad, and the ugly
journal, June 2016
- Derby, Jeffrey J.
- Progress in Crystal Growth and Characterization of Materials, Vol. 62, Issue 2
Development of a new powerful computer code CrysVUN++ especially designed for fast simulation of bulk crystal growth processes
journal, March 1999
- Kurz, M.; Pusztai, A.; Müller, G.
- Journal of Crystal Growth, Vol. 198-199
Process modeling of the industrial VGF growth process using the software package CrysVUN++
journal, April 2000
- Backofen, R.; Kurz, M.; Müller, G.
- Journal of Crystal Growth, Vol. 211, Issue 1-4
A new hybrid method for the global modeling of convection in CZ crystal growth configurations
journal, May 2007
- Fainberg, J.; Vizman, D.; Friedrich, J.
- Journal of Crystal Growth, Vol. 303, Issue 1
Analysis of the growth of cadmium zinc telluride in an electrodynamic gradient freeze furnace via a self-consistent, multi-scale numerical model
journal, March 2005
- Pandy, Arun; Yeckel, Andrew; Reed, Michael
- Journal of Crystal Growth, Vol. 276, Issue 1-2
Fixed-point convergence of modular, steady-state heat transfer models coupling multiple scales and phenomena for melt–crystal growth
journal, January 2006
- Yeckel, Andrew; Pandy, Arun; Derby, Jeffrey J.
- International Journal for Numerical Methods in Engineering, Vol. 67, Issue 12
An approximate block Newton method for coupled iterations of nonlinear solvers: Theory and conjugate heat transfer applications
journal, December 2009
- Yeckel, Andrew; Lun, Lisa; Derby, Jeffrey J.
- Journal of Computational Physics, Vol. 228, Issue 23
Multi-scale crystal growth computations via an approximate block Newton method
journal, April 2010
- Yeckel, Andrew; Lun, Lisa; Derby, Jeffrey J.
- Journal of Crystal Growth, Vol. 312, Issue 8
Crystal growth and characterization of alkali-earth halide scintillators
journal, August 2012
- Bourret-Courchesne, E. D.; Bizarri, G. A.; Borade, R.
- Journal of Crystal Growth, Vol. 352, Issue 1
Czochralski growth of the mixed halides BaBrCl and BaBrCl:Eu
journal, February 2016
- Yan, Z.; Shalapska, T.; Bourret, E. D.
- Journal of Crystal Growth, Vol. 435
The heat of Fusion of the Alkali Metal Halides
journal, February 1960
- Dworkin, A. S.; Bredig, M. A.
- The Journal of Physical Chemistry, Vol. 64, Issue 2
Thermal Conductivity of Eight Halide Crystals in the Temperature Range 220°K to 390°K
journal, August 1960
- McCarthy, Kathryn A.; Ballard, Stanley S.
- Journal of Applied Physics, Vol. 31, Issue 8
Control of interface shape in the vertical bridgman-stockbarger technique
journal, January 1974
- Chang, Chong E.; Wilcox, William R.
- Journal of Crystal Growth, Vol. 21, Issue 1
An axial temperature profile curvature criterion for the engineering of convex crystal growth interfaces in Bridgman systems
journal, June 2017
- Peterson, Jeffrey H.; Derby, Jeffrey J.
- Journal of Crystal Growth, Vol. 468
Radial segregation induced by natural convection and melt/solid interface shape in vertical bridgman growth
journal, October 1983
- Chang, Chiechun J.; Brown, Robert A.
- Journal of Crystal Growth, Vol. 63, Issue 2
On the problem of radial segregation in an idealized horizontal Bridgman configuration: scaling and numerical approaches
journal, December 1991
- Garandet, J. P.
- Journal of Crystal Growth, Vol. 114, Issue 4
Modeling the vertical Bridgman growth of cadmium zinc telluride II. Transient analysis of zinc segregation
journal, October 1995
- Kuppurao, Satheesh; Brandon, Simon; Derby, Jeffrey J.
- Journal of Crystal Growth, Vol. 155, Issue 1-2
On the effects of ampoule tilting during vertical Bridgman growth: three-dimensional computations via a massively parallel, finite element method
journal, September 1996
- Xiao, Qiang; Kuppurao, Satheesh; Yeckel, Andrew
- Journal of Crystal Growth, Vol. 167, Issue 1-2
New Segregation Phenomena in Metals
journal, August 1951
- Stewart, M. T.; Thomas, R.; Wauchope, K.
- Physical Review, Vol. 83, Issue 3