| 1 | chrisfen | 3042 | \documentclass[nosummary]{ndthesis} | 
| 2 | chrisfen | 2987 |  | 
| 3 |  |  | % some packages for things like equations and graphics | 
| 4 |  |  | \usepackage[tbtags]{amsmath} | 
| 5 |  |  | \usepackage{amsmath,bm} | 
| 6 |  |  | \usepackage{amssymb} | 
| 7 |  |  | \usepackage{mathrsfs} | 
| 8 |  |  | \usepackage{tabularx} | 
| 9 |  |  | \usepackage{graphicx} | 
| 10 |  |  | \usepackage{booktabs} | 
| 11 |  |  | \usepackage{cite} | 
| 12 |  |  | \usepackage{enumitem} | 
| 13 |  |  | \renewcommand{\appendixname}{APPENDIX} | 
| 14 | chrisfen | 3042 | \clubpenalty=10000 | 
| 15 |  |  | \widowpenalty=10000 | 
| 16 | chrisfen | 2987 |  | 
| 17 |  |  | \begin{document} | 
| 18 |  |  |  | 
| 19 |  |  | \frontmatter | 
| 20 |  |  |  | 
| 21 | chrisfen | 3023 | \title{DEVELOPMENT OF MOLECULAR DYNAMICS TECHNIQUES FOR THE | 
| 22 | chrisfen | 3029 | STUDY OF WATER AND BIOCHEMICAL SYSTEMS} | 
| 23 | chrisfen | 2987 | \author{Christopher Joseph Fennell} | 
| 24 |  |  | \work{Dissertation} | 
| 25 |  |  | \degprior{B.Sc.} | 
| 26 |  |  | \degaward{Doctor of Philosophy} | 
| 27 |  |  | \advisor{J. Daniel Gezelter} | 
| 28 |  |  | \department{Chemistry and Biochemistry} | 
| 29 |  |  |  | 
| 30 |  |  | \maketitle | 
| 31 |  |  |  | 
| 32 |  |  | \begin{abstract} | 
| 33 | chrisfen | 3019 |  | 
| 34 | chrisfen | 3023 | This dissertation comprises a body of research in the field of | 
| 35 |  |  | classical molecular simulations, with particular emphasis placed on | 
| 36 | chrisfen | 3042 | the proper depiction of water. It is arranged such that the techniques | 
| 37 |  |  | and models are first developed and tested before being applied and | 
| 38 |  |  | compared with experimental results. Accordingly, the first chapter | 
| 39 |  |  | starts by introducing the technique of molecular dynamics and | 
| 40 |  |  | discussing technical considerations needed to correctly perform | 
| 41 |  |  | molecular simulations. | 
| 42 | chrisfen | 3019 |  | 
| 43 | chrisfen | 3042 | The second chapter builds on these consideration aspects by discussing | 
| 44 |  |  | correction techniques for handling long-ranged electrostatic | 
| 45 |  |  | interactions. Particular focus is placed on the damped shifted force | 
| 46 |  |  | ({\sc sf}) technique, and it is shown to be nearly equivalent to the | 
| 47 |  |  | Ewald summation in simulations of condensed phases. Since the {\sc sf} | 
| 48 |  |  | technique is pairwise, it scales as $\mathcal{O}(N)$ and lacks | 
| 49 |  |  | periodicity artifacts. This technique is extended to include | 
| 50 |  |  | point-multipoles, and optimal damping parameters are determined to | 
| 51 |  |  | ensure proper depiction of the dielectric behavior of molecular | 
| 52 |  |  | systems. | 
| 53 | chrisfen | 3019 |  | 
| 54 | chrisfen | 3023 | The third chapter applies the above techniques and focuses on water | 
| 55 |  |  | model development, specifically the single-point soft sticky dipole | 
| 56 |  |  | (SSD) model. In order to better depict water with SSD in computer | 
| 57 | chrisfen | 3042 | simulations, it needed to be reparametrized, resulting in SSD/RF and | 
| 58 |  |  | SSD/E, new variants optimized for simulations with and without a | 
| 59 |  |  | reaction field correction. These new single-point models are more | 
| 60 |  |  | efficient than the more common multi-point models and better capture | 
| 61 |  |  | the dynamic properties of water. SSD/RF can be used with damped {\sc | 
| 62 |  |  | sf} through the multipolar extension described in the previous | 
| 63 |  |  | chapter. | 
| 64 | chrisfen | 3019 |  | 
| 65 | chrisfen | 3042 | The final chapter deals with a unique polymorph of ice that was | 
| 66 |  |  | discovered while performing simulations with the SSD models.  This | 
| 67 |  |  | form of ice, called ``imaginary ice'' (Ice-$i$), has a low-density | 
| 68 |  |  | structure which is different from any previously known ice | 
| 69 |  |  | polymorph. The free energy analysis discussed here shows that it is | 
| 70 |  |  | the thermodynamically preferred form of ice for both the single-point | 
| 71 |  |  | and commonly used multi-point water models.  Including electrostatic | 
| 72 |  |  | corrections is necessary to obtain more realistic results; however, | 
| 73 |  |  | the free energies of the studied polymorphs are typically so similar | 
| 74 |  |  | that system properties, like the volume in $NVT$ simulations, can | 
| 75 |  |  | directly influence the ice polymorph expressed. | 
| 76 | chrisfen | 3023 |  | 
| 77 | chrisfen | 2987 | \end{abstract} | 
| 78 |  |  |  | 
| 79 |  |  | \begin{dedication} | 
| 80 | chrisfen | 3001 | To my wife, for her understanding and support throughout this work. | 
| 81 | chrisfen | 2987 | \end{dedication} | 
| 82 |  |  |  | 
| 83 |  |  | \tableofcontents | 
| 84 |  |  | \listoffigures | 
| 85 |  |  | \listoftables | 
| 86 |  |  |  | 
| 87 |  |  | \begin{acknowledge} | 
| 88 | chrisfen | 3001 | I would to thank my advisor, J. Daniel Gezelter, for the guidance, | 
| 89 |  |  | perspective, and direction he provided during this work. He is a great | 
| 90 |  |  | teacher and helped fuel my desire to learn. I would also like to thank | 
| 91 | chrisfen | 3042 | my fellow group members - Dr.~Matthew Meineke, Dr.~Teng Lin, Charles | 
| 92 |  |  | Vardeman~II, Kyle Daily, Xiuquan Sun, Yang Zheng, Kyle Haygarth, | 
| 93 |  |  | Patrick Conforti, Megan Sprague, and Dan Combest for helpful comments | 
| 94 |  |  | and suggestions along the way. I would also like to thank Christopher | 
| 95 |  |  | Harrison and Dr.~Steven Corcelli for additional discussions and | 
| 96 |  |  | comments. Finally, I would like to thank my parents, Edward and | 
| 97 |  |  | Rosalie Fennell, for providing the opportunities and encouragement | 
| 98 |  |  | that allowed me to pursue my interests, and I would like to thank my | 
| 99 |  |  | wife, Kelley, for her unwavering support. | 
| 100 | chrisfen | 2987 | \end{acknowledge} | 
| 101 |  |  |  | 
| 102 |  |  | \mainmatter | 
| 103 |  |  |  | 
| 104 |  |  | \input{Introduction} | 
| 105 |  |  |  | 
| 106 |  |  | \input{Electrostatics} | 
| 107 |  |  |  | 
| 108 |  |  | \input{Water} | 
| 109 |  |  |  | 
| 110 |  |  | \input{Ice} | 
| 111 |  |  |  | 
| 112 |  |  | \input{Conclusion} | 
| 113 |  |  |  | 
| 114 |  |  | \appendix | 
| 115 |  |  |  | 
| 116 |  |  | \input{IndividualSystems} | 
| 117 |  |  |  | 
| 118 | chrisfen | 3016 | %\input{SHAMS} | 
| 119 | chrisfen | 2987 |  | 
| 120 |  |  | \backmatter | 
| 121 |  |  |  | 
| 122 |  |  | \bibliographystyle{ndthesis} | 
| 123 |  |  | \bibliography{dissertation} | 
| 124 |  |  |  | 
| 125 |  |  | \end{document} | 
| 126 |  |  |  | 
| 127 |  |  |  | 
| 128 |  |  | \endinput |