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Towards Predictive Modeling of Crystal Growth and Solid-State Synthesis
Towards Predictive Modeling of Crystal Growth and Solid-State Synthesis
상세정보
- 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
- 기타저자
- University of Michigan Electrical and Computer Engineering
- 기본자료저록
- Dissertations Abstracts International. 87-03B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520260202105242
■006m o d
■007cr#unu||||||||
■020 ▼a9798291569368
■035 ▼a(MiAaPQ)AAI32272011
■035 ▼a(MiAaPQ)umichrackham006291
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a620.11
■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.


