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Towards Predictive Modeling of Crystal Growth and Solid-State Synthesis
Towards Predictive Modeling of Crystal Growth and Solid-State Synthesis
Towards Predictive Modeling of Crystal Growth and Solid-State Synthesis

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자료유형  
 학위논문 서양
최종처리일시  
20260202105242
ISBN  
9798291569368
DDC  
620.11
저자명  
Maria, Eymana.
서명/저자  
Towards Predictive Modeling of Crystal Growth and Solid-State Synthesis
발행사항  
[Sl] : University of Michigan, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
183 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-03, Section: B.
주기사항  
Advisor: Guo, L. Jay;Thornton, Katsuyo S.
학위논문주기  
Thesis (Ph.D.)--University of Michigan, 2025.
초록/해제  
요약Computational models, informed by experimental characterizations, provide insights into the processing and synthesis of materials and facilitate the design of processing conditions that lead to desired outcomes, such as fast synthesis times, high completion rates, and high-quality solidified crystals. They offer a fundamental understanding of complex, dynamic phenomena that are difficult to observe experimentally. This dissertation presents two sets of computational models and methods: one for predicting heat transfer during crystal growth processes and another for elucidating reaction progression during solid-state synthesis reactions.A major drawback of traditional crystal growth processes is the use of a crucible to hold the molten material, which can contaminate the growing single crystal. Therefore, in applications where single-crystal wafers with very low impurity content are required, such as high-purity silicon wafers in power control devices, the floating zone (FZ) crystal growth method is often employed. In this method, the molten zone is held by surface tension without a crucible. The first part of this dissertation presents a heat-transfer model developed to simulate the temperature distribution of polycrystalline feed rods in an optical floating-zone (OFZ) crystal growth furnace. This model is validated against experimentally measured temperature profiles using an automated optimization algorithm. A parametric study is then conducted with this validated model to understand the impact of experimentally controllable parameters, namely the feed rod radius, length, tip shape, the environment gas, and its pressure, on the temperature profile and the temperature gradient along the feed rod, both of which play crucial roles in determining the quality of the grown crystal.Solid-state metathesis reactions can synthesize both stable and metastable products at comparatively lower temperatures than those required in traditional solid-state synthesis. The phases formed during the reaction can be kinetically controlled by altering precursor materials and synthesis conditions. The second part of this dissertation focuses on developing computational models to simulate the reaction progression during solid-state metathesis reactions. First, an electrical conductivity model, coupled with a phase-field model for metathesis reactions, is employed to simulate the mechanism of conductive path formation during the synthesis of FeS2, which is utilized in the fields of solar photovoltaics and batteries. Additionally, an analytical model is employed to gain insight into the reaction's progression when the stochastic nature of the microstructure plays a dominant role and leads to a rare formation of conductive paths. Next, the phase-field model is applied to study the effect of precursor-particle morphology on the reaction kinetics. Two quantitative metrics, namely the available interface length per unit area and the average distance to the nearest reactive interface, are defined to capture this effect. Finally, the phase-field model is extended to incorporate phase-dependent ion mobility using several effective medium approximations, namely the Wiener series and parallel bounds, and the Maxwell-Garnett effective medium theory. Simulations are performed to obtain the completion of the metathesis reaction between NaFeO2 and LiCl to synthesize LiFeO2, which has significant applications in lithium-ion batteries, and the simulated completions are compared to the experimental data from the fast kinetic regime at 230 ºC and 310 ºC.Overall, the computational models developed in this dissertation not only advance the fundamental understandings of key phenomena in materials processing but also provide practical guidance for optimizing experimental conditions. These insights have the potential to enhance synthesis efficiency and product quality, ultimately facilitating more effective materials design and manufacturing.
일반주제명  
Materials science
일반주제명  
Condensed matter physics
일반주제명  
Physical chemistry
일반주제명  
Optics
키워드  
Computational model
키워드  
Optical floating zone crystal growth
키워드  
Solid-state synthesis
키워드  
Maxwell-Garnett effective medium theory
키워드  
Solar photovoltaics
기타저자  
University of Michigan Electrical and Computer Engineering
기본자료저록  
Dissertations Abstracts International. 87-03B.
전자적 위치 및 접속  
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■1001  ▼aMaria,  Eymana.
■24510▼aTowards  Predictive  Modeling  of  Crystal  Growth  and  Solid-State  Synthesis
■260    ▼a[Sl]▼bUniversity  of  Michigan▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a183  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-03,  Section:  B.
■500    ▼aAdvisor:  Guo,  L.  Jay;Thornton,  Katsuyo  S.
■5021  ▼aThesis  (Ph.D.)--University  of  Michigan,  2025.
■520    ▼aComputational  models,  informed  by  experimental  characterizations,  provide  insights  into  the  processing  and  synthesis  of  materials  and  facilitate  the  design  of  processing  conditions  that  lead  to  desired  outcomes,  such  as  fast  synthesis  times,  high  completion  rates,  and  high-quality  solidified  crystals.  They  offer  a  fundamental  understanding  of  complex,  dynamic  phenomena  that  are  difficult  to  observe  experimentally.  This  dissertation  presents  two  sets  of  computational  models  and  methods:  one  for  predicting  heat  transfer  during  crystal  growth  processes  and  another  for  elucidating  reaction  progression  during  solid-state  synthesis  reactions.A  major  drawback  of  traditional  crystal  growth  processes  is  the  use  of  a  crucible  to  hold  the  molten  material,  which  can  contaminate  the  growing  single  crystal.  Therefore,  in  applications  where  single-crystal  wafers  with  very  low  impurity  content  are  required,  such  as  high-purity  silicon  wafers  in  power  control  devices,  the  floating  zone  (FZ)  crystal  growth  method  is  often  employed.  In  this  method,  the  molten  zone  is  held  by  surface  tension  without  a  crucible.  The  first  part  of  this  dissertation  presents  a  heat-transfer  model  developed  to  simulate  the  temperature  distribution  of  polycrystalline  feed  rods  in  an  optical  floating-zone  (OFZ)  crystal  growth  furnace.  This  model  is  validated  against  experimentally  measured  temperature  profiles  using  an  automated  optimization  algorithm.  A  parametric  study  is  then  conducted  with  this  validated  model  to  understand  the  impact  of  experimentally  controllable  parameters,  namely  the  feed  rod  radius,  length,  tip  shape,  the  environment  gas,  and  its  pressure,  on  the  temperature  profile  and  the  temperature  gradient  along  the  feed  rod,  both  of  which  play  crucial  roles  in  determining  the  quality  of  the  grown  crystal.Solid-state  metathesis  reactions  can  synthesize  both  stable  and  metastable  products  at  comparatively  lower  temperatures  than  those  required  in  traditional  solid-state  synthesis.  The  phases  formed  during  the  reaction  can  be  kinetically  controlled  by  altering  precursor  materials  and  synthesis  conditions.  The  second  part  of  this  dissertation  focuses  on  developing  computational  models  to  simulate  the  reaction  progression  during  solid-state  metathesis  reactions.  First,  an  electrical  conductivity  model,  coupled  with  a  phase-field  model  for  metathesis  reactions,  is  employed  to  simulate  the  mechanism  of  conductive  path  formation  during  the  synthesis  of  FeS2,  which  is  utilized  in  the  fields  of  solar  photovoltaics  and  batteries.  Additionally,  an  analytical  model  is  employed  to  gain  insight  into  the  reaction's  progression  when  the  stochastic  nature  of  the  microstructure  plays  a  dominant  role  and  leads  to  a  rare  formation  of  conductive  paths.  Next,  the  phase-field  model  is  applied  to  study  the  effect  of  precursor-particle  morphology  on  the  reaction  kinetics.  Two  quantitative  metrics,  namely  the  available  interface  length  per  unit  area  and  the  average  distance  to  the  nearest  reactive  interface,  are  defined  to  capture  this  effect.  Finally,  the  phase-field  model  is  extended  to  incorporate  phase-dependent  ion  mobility  using  several  effective  medium  approximations,  namely  the  Wiener  series  and  parallel  bounds,  and  the  Maxwell-Garnett  effective  medium  theory.  Simulations  are  performed  to  obtain  the  completion  of  the  metathesis  reaction  between  NaFeO2  and  LiCl  to  synthesize  LiFeO2,  which  has  significant  applications  in  lithium-ion  batteries,  and  the  simulated  completions  are  compared  to  the  experimental  data  from  the  fast  kinetic  regime  at  230 ºC  and  310 ºC.Overall,  the  computational  models  developed  in  this  dissertation  not  only  advance  the  fundamental  understandings  of  key  phenomena  in  materials  processing  but  also  provide  practical  guidance  for  optimizing  experimental  conditions.  These  insights  have  the  potential  to  enhance  synthesis  efficiency  and  product  quality,  ultimately  facilitating  more  effective  materials  design  and  manufacturing.
■590    ▼aSchool  code:  0127.
■650  4▼aMaterials  science
■650  4▼aCondensed  matter  physics
■650  4▼aPhysical  chemistry
■650  4▼aOptics
■653    ▼aComputational  model
■653    ▼aOptical  floating  zone  crystal  growth
■653    ▼aSolid-state  synthesis
■653    ▼aMaxwell-Garnett  effective  medium  theory
■653    ▼aSolar  photovoltaics  
■690    ▼a0794
■690    ▼a0752
■690    ▼a0611
■690    ▼a0494
■71020▼aUniversity  of  Michigan▼bElectrical  and  Computer  Engineering.
■7730  ▼tDissertations  Abstracts  International▼g87-03B.
■790    ▼a0127
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359961▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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