High-Pressure Studies of Analogs with Applications to Materials Science

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High-Pressure Studies of Analogs with Applications to Materials Science HIGH-PRESSURE STUDIES OF ANALOGS WITH APPLICATIONS TO MATERIALS SCIENCE AND GEOSCIENCE Camelia Veronica Stan A DISSERTATION PRESENTED TO THE FACULTY OF PRINCETON UNIVERSITY IN CANDIDACY FOR THE DEGREE OF DOCTOR OF PHILOSOPHY RECOMMENDED FOR ACCEPTANCE BY THE DEPARTMENT OF CHEMISTRY ADVISER: THOMAS S. DUFFY MAY 2016 © Copyright by Camelia Veronica Stan, 2016. All rights reserved. Abstract Analog materials can provide insights to understanding inaccessible phase transitions and novel material properties. The work presented here examines both structural and chemical variation of analogs in order to probe the physics and chemistry of materials at high pressure and temperature conditions. The experiments reported here used the diamond anvil cell to achieve pressures up to 1.5 Mbar and temperatures as high as 2500 K, in conjunction with synchrotron x- ray diffraction and Raman spectroscopy. The work is divided into three major projects. Polymorphism in AX2-type compounds was explored using PbF2 as an archetype for phases with highly coordinated cations. These materials are of interest due to their potential technical applications and, in the case of SiO2, their geophysical relevance. Compression studies at room temperature revealed an unusual isosymmetric phase transition in PbF2, and the combination of experimental and theoretical approaches explored the mechanism of the phase transformation that had hitherto not been understood. High-pressure-temperature experiments led to the discovery of a new phase transition in this material, thus furthering our understanding of phase transformation pathways in AX2 materials. Garnets are important compounds in geoscience and materials science. The high-pressure behavior of Y3Fe5O12 has been controversial due to conflicting reports regarding its high- pressure polymorphs. Here I show that the high-pressure phase is a perovskite with a 3+ (Y0.75Fe0.25)FeO3 composition. In addition, I also identify a spin transition in the octahedral Fe site at 45-51 GPa. Comparison with other perovskite-structured orthoferrites shows that the volume discontinuity associated with the spin transition is controlled by the size of the cation occupying the distorted dodecahedral site. iii Silicate perovskites and post-perovskites are the dominant mineral phases in the Earth’s lower mantle. The effect of incorporation of Fe2+ on the perovskite and post-perovskite structures, and on the phase transition between them, is investigated using the analog system (Mg,Fe)GeO3. At high pressures and temperatures, single-phase perovskites and post-perovskites were be synthesized for Mg-rich compositions with Mg# ≥ 78. Iron is found to lower the perovskite-post-perovskite phase boundary, and to affect a modest decrease of bulk modulus and a modest increase in volume of perovskites. iv Acknowledgements In some ways, this is the hardest part to write, because it requires raw emotional honesty about six years’ worth of despair and satisfaction and work and elation. A part of me feels like I will never properly be able to express my gratitude to everyone who has been here for me along the way both when everything felt grueling and when everything felt great. Everything I write feels insufficient and I am humbled in the face of your help, your love, and the magnitude of your impact on who I am as a scientist, a friend, a daughter, a person. Certainly, I would never have finished this work if it weren’t for the tireless help of my advisor, Tom Duffy. I hounded you for over a month to let me join the lab, was incredibly awkward countless times, and was probably way more forward with my thoughts and opinions than was necessary (as I probably am right now). Despite this, you soldiered on along with me, providing much needed oversight, encouragement, and advice. I take great joy in the way our working relationship has developed over the course of my time at Princeton, and I admire your dedication to your students and the level of interest you took to ensure I, and my colleagues, were doing the best work we could do. I will be forever grateful. Thank you. Speaking of colleagues, I have had many excellent ones throughout the years. Thank you (in chronological order) to Suki Dorfman, Raj Dutta and Sally Tracy for working alongside me all these years. Thank you in particular to Greg Finkelstein and June Wicks. You have taught me so much, and have certainly made me into a better scientist. More importantly, you have spent countless nights babysitting DACs with me at the synchrotron, which is sort of like a friendship trial-by-fire. Much of my success depended on you, and I wouldn’t have made it through to the end without either of you. Thank you also to our colleagues at the synchrotron, particularly Clemens Prescher, whose stoic German sense of humor was always greatly appreciated. Thank v you to colleagues in the department of Geosciences and Chemistry who have guided and supported me through the minutiae of life. I am very grateful to the friends who have been here along the way. This might get a little wordy, and is also in no particular order. Aaron, thank you for over a decade of mental and emotional support; I know we can always rely on one another through thick and thin (friendship is the gift that keeps on giving) and your advice, resilience, patience and strength have been a boon and a comfort throughout the years. Allison, thank you for over a decade of snarking (in many ways just as important as anything else in a friendship). Jack and Laura, I will always appreciate your generosity, hospitality, and honesty. Bailey, Harry, Michelle: thank you for befriending and including me. Kristen: I am so glad we became close friends, and I am so grateful to you for being an island of day to day calm in the turbulent ocean of graduate life. Nick and Shoham: thank you so much for all of the extracurricular activities we did together that made life bearable. Ethan, Calvin, Andy, Kate: it is refreshing to have had friends like you for so long, who anchor me in reality; talking to you feels like going home. And to Earl, without whom I would have lost my mind years ago, who always listens to my trials and tribulations, who I admire, cherish, look up to and respect, and who means the world to me: you have taken on the role of colleague, confidante, and partner, made me a better scientist, revitalized me when I flagged, shared in my successes, calmed me when I stormed. There are not enough words to express my gratitude. Thank you. I want to thank my Romanian family who has been there for me, very loudly, throughout the past six years, especially my grandmother, Victoria, and my grandfather, Ion. And, I am very grateful to Gabi and Vio Enciu. Thank you for treating me as though I was your daughter, for vi taking me in and feeding me, doing construction projects with me, cooking with me, and talking to me until the wee hours of morning. Finally, I would like to thank my parents, Irina and Ovidiu Stan, for always being there for me. We come from a culture that very greatly values family ties, and it’s difficult to express everything they mean to me. Thank you for the food and wine, for calling me and comforting me, for taking care of me, for encouraging me and pushing me to do more and be more, and for years and years of love and support that have allowed me to become the person I am today. I am nothing without you. vii Table of Contents Abstract iii Acknowledgements v Chapter 1: Introduction 1 1.1 Analogs in Materials Science 1 1.1.1 The AX2 system 1 1.1.2 The perovskite family of compounds 4 1.2 Analogs in Geoscience 4 1.3 Experimental Methodology 9 1.3.1 Generating high pressures with the diamond anvil cell 9 1.3.1.1 Diamonds 11 1.3.1.2 Insulating pressure media 11 1.3.1.3 Gaskets 13 1.3.2 Laser heating 14 1.3.3 Synchrotron X-Ray diffraction 15 1.3.2.1 Synchrotron operation 15 1.3.2.2 X-ray diffraction 16 1.3.4 Raman spectroscopy 18 1.3.5 Pressure determination 21 1.3.5.1 Differential pressure 23 Chapter 2: High-Pressure Polymorphism of PbF2 to 75 GPa 25 2.1 Abstract 25 2.2 Introduction 26 2.3 Methods 29 2.4 Results and Discussion 31 2.4.1 Room-temperature compression of PbF2 31 viii 2.4.1.1 X-ray diffraction 31 2.4.1.2 Raman spectroscopy 38 2.4.2 Isosymmetric phase transition 41 2.4.3 Room-temperature equation of state 44 2.4.4 High pressure-temperature behavior 45 2.5 Conclusion 50 2.6 Acknowledgements 51 2.S Supplementary Material 52 2.S.1 Starting material 52 2.S.2 Effects of sample pre-compression on stress state 53 Chapter 3: High-Pressure Phase Transition in Y3Fe5O12 61 3.1 Abstract 61 3.2 Introduction 62 3.3 Methods 65 3.4 Results/Discussion 67 3.4.1 Pressure-induced amorphization 67 3.4.2 High-pressure and -temperature experiments 70 3.4.3 Equation of state and spin transition 76 3.5 Conclusion 84 3.6 Acknowledgments 84 Chapter 4: Synthesis and Equation of State of Perovskites and Post-Perovskites in (Mg,Fe)GeO3 86 4.1 Abstract 86 4.2 Introduction 87 4.3 Methods 90 4.3.1 Pyroxene synthesis 90 4.3.2 High-pressure experiments 91 4.4 Results and Discussion 92 ix 4.4.1 Synthesis of germanate pyroxene starting materials 92 4.4.2 Perovskite and post-perovskite synthesis at high pressures 100 4.4.3 Perovskite – post-perovskite phase relationships 109 4.4.4 Equations of state 114 4.4.4.1 Perovskite 114 4.4.4.2 Post-perovskite 120 4.5 Conclusion 123 4.6 Acknowledgments 124 4.7 Supplementary Material 125 Appendix A: First-Principles Study of the High-Pressure Isosymmetric Phase Transition in PbF2 130 A.1 Abstract 130 A.2 Introduction 131 A.3 Methods 132 A.4 Results and Discussion 134 A.4.1 Structural evolution under pressure 134 A.4.2 Bonding and polyhedral analysis 140 A.4.3 Elasticity 147 A.4.4 Comparison with metal dioxides 151 A.5 Conclusion 153 References 155 x List of Figures 1.1.
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