Analysis of the traveling heater method for the growth of cadmium telluride

Jeffrey H. Peterson; Michael Fiederle; Jeffrey J. Derby

doi:10.1016/j.jcrysgro.2016.08.055

Analysis of the traveling heater method for the growth of cadmium telluride

Jeffrey H. Peterson, Michael Fiederle, Jeffrey J. Derby

Chemical Engineering and Materials Science

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

We discuss the development and implementation of a comprehensive mathematical model for the traveling heater method (THM) that is formulated to realistically represent the interactions of heat and species transport, fluid flow, and interfacial dissolution and growth under conditions of local thermodynamic equilibrium and steady-state growth. We examine the complicated interactions among zone geometry, continuum transport, phase change, and fluid flow driven by buoyancy. Of particular interest and importance is the formation of flow structures in the liquid zone of the THM that arise from the same physical mechanism as lee waves in atmospheric flows and demonstrate the same characteristic Brunt–Väisälä scaling. We show that flow stagnation and reversal associated with lee-wave formation are responsible for the accumulation of tellurium and supercooled liquid near the growth interface, even when the lee-wave vortex is not readily apparent in the overall flow structure. The supercooled fluid is posited to result in morphological instability at growth rates far below the limit predicted by the classical criterion by Tiller et al. for constitutional supercooling.

Original language	English (US)
Pages (from-to)	45-58
Number of pages	14
Journal	Journal of Crystal Growth
Volume	454
DOIs	https://doi.org/10.1016/j.jcrysgro.2016.08.055
State	Published - Nov 15 2016

Bibliographical note

Funding Information:
This material is based upon work supported in part by the Minnesota Supercomputer Institute and the U.S. National Science Foundation , Materials World Network: Cooperative Activity in Materials Research between US Investigators and their Counterparts Abroad (MWN), under NSF DMR-10007885 . We acknowledge the significant input of Andrew Yeckel, who supported this work though code development. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.

Publisher Copyright:
© 2016 Elsevier B.V.

Keywords

A1. Computer simulation
A1. Convection
A1. Mass transfer
A2. Traveling heater method growth
A2. Traveling solvent zone growth
B2. Semiconducting II-VI materials
Heat transfer

Access

10.1016/j.jcrysgro.2016.08.055

OpenUrl availability

Full text

Cite this

@article{d072f74bbee34291a025b708750edc8a,

title = "Analysis of the traveling heater method for the growth of cadmium telluride",

abstract = "We discuss the development and implementation of a comprehensive mathematical model for the traveling heater method (THM) that is formulated to realistically represent the interactions of heat and species transport, fluid flow, and interfacial dissolution and growth under conditions of local thermodynamic equilibrium and steady-state growth. We examine the complicated interactions among zone geometry, continuum transport, phase change, and fluid flow driven by buoyancy. Of particular interest and importance is the formation of flow structures in the liquid zone of the THM that arise from the same physical mechanism as lee waves in atmospheric flows and demonstrate the same characteristic Brunt–V{\"a}is{\"a}l{\"a} scaling. We show that flow stagnation and reversal associated with lee-wave formation are responsible for the accumulation of tellurium and supercooled liquid near the growth interface, even when the lee-wave vortex is not readily apparent in the overall flow structure. The supercooled fluid is posited to result in morphological instability at growth rates far below the limit predicted by the classical criterion by Tiller et al. for constitutional supercooling.",

keywords = "A1. Computer simulation, A1. Convection, A1. Mass transfer, A2. Traveling heater method growth, A2. Traveling solvent zone growth, B2. Semiconducting II-VI materials, Heat transfer",

author = "Peterson, {Jeffrey H.} and Michael Fiederle and Derby, {Jeffrey J.}",

note = "Funding Information: This material is based upon work supported in part by the Minnesota Supercomputer Institute and the U.S. National Science Foundation , Materials World Network: Cooperative Activity in Materials Research between US Investigators and their Counterparts Abroad (MWN), under NSF DMR-10007885 . We acknowledge the significant input of Andrew Yeckel, who supported this work though code development. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. Publisher Copyright: {\textcopyright} 2016 Elsevier B.V.",

year = "2016",

month = nov,

day = "15",

doi = "10.1016/j.jcrysgro.2016.08.055",

language = "English (US)",

volume = "454",

pages = "45--58",

journal = "Journal of Crystal Growth",

issn = "0022-0248",

publisher = "Elsevier",

}

TY - JOUR

T1 - Analysis of the traveling heater method for the growth of cadmium telluride

AU - Peterson, Jeffrey H.

AU - Fiederle, Michael

AU - Derby, Jeffrey J.

N1 - Funding Information: This material is based upon work supported in part by the Minnesota Supercomputer Institute and the U.S. National Science Foundation , Materials World Network: Cooperative Activity in Materials Research between US Investigators and their Counterparts Abroad (MWN), under NSF DMR-10007885 . We acknowledge the significant input of Andrew Yeckel, who supported this work though code development. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation. Publisher Copyright: © 2016 Elsevier B.V.

PY - 2016/11/15

Y1 - 2016/11/15

N2 - We discuss the development and implementation of a comprehensive mathematical model for the traveling heater method (THM) that is formulated to realistically represent the interactions of heat and species transport, fluid flow, and interfacial dissolution and growth under conditions of local thermodynamic equilibrium and steady-state growth. We examine the complicated interactions among zone geometry, continuum transport, phase change, and fluid flow driven by buoyancy. Of particular interest and importance is the formation of flow structures in the liquid zone of the THM that arise from the same physical mechanism as lee waves in atmospheric flows and demonstrate the same characteristic Brunt–Väisälä scaling. We show that flow stagnation and reversal associated with lee-wave formation are responsible for the accumulation of tellurium and supercooled liquid near the growth interface, even when the lee-wave vortex is not readily apparent in the overall flow structure. The supercooled fluid is posited to result in morphological instability at growth rates far below the limit predicted by the classical criterion by Tiller et al. for constitutional supercooling.

AB - We discuss the development and implementation of a comprehensive mathematical model for the traveling heater method (THM) that is formulated to realistically represent the interactions of heat and species transport, fluid flow, and interfacial dissolution and growth under conditions of local thermodynamic equilibrium and steady-state growth. We examine the complicated interactions among zone geometry, continuum transport, phase change, and fluid flow driven by buoyancy. Of particular interest and importance is the formation of flow structures in the liquid zone of the THM that arise from the same physical mechanism as lee waves in atmospheric flows and demonstrate the same characteristic Brunt–Väisälä scaling. We show that flow stagnation and reversal associated with lee-wave formation are responsible for the accumulation of tellurium and supercooled liquid near the growth interface, even when the lee-wave vortex is not readily apparent in the overall flow structure. The supercooled fluid is posited to result in morphological instability at growth rates far below the limit predicted by the classical criterion by Tiller et al. for constitutional supercooling.

KW - A1. Computer simulation

KW - A1. Convection

KW - A1. Mass transfer

KW - A2. Traveling heater method growth

KW - A2. Traveling solvent zone growth

KW - B2. Semiconducting II-VI materials

KW - Heat transfer

UR - http://www.scopus.com/inward/record.url?scp=84989824890&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84989824890&partnerID=8YFLogxK

U2 - 10.1016/j.jcrysgro.2016.08.055

DO - 10.1016/j.jcrysgro.2016.08.055

M3 - Article

AN - SCOPUS:84989824890

SN - 0022-0248

VL - 454

SP - 45

EP - 58

JO - Journal of Crystal Growth

JF - Journal of Crystal Growth

ER -

Analysis of the traveling heater method for the growth of cadmium telluride

Abstract

Bibliographical note

Keywords

Access

OpenUrl availability

Other files and links

Fingerprint

Cite this