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# Content
1 \documentclass[nosummary]{ndthesis}
2
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 \clubpenalty=10000
15 \widowpenalty=10000
16
17 \begin{document}
18
19 \frontmatter
20
21 \title{DEVELOPMENT OF MOLECULAR DYNAMICS TECHNIQUES FOR THE
22 STUDY OF WATER AND BIOCHEMICAL SYSTEMS}
23 \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
34 This dissertation comprises a body of research in the field of
35 classical molecular simulations, with particular emphasis placed on
36 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
43 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
54 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 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
65 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
77 \end{abstract}
78
79 \begin{dedication}
80 To my wife, for her understanding and support throughout this work.
81 \end{dedication}
82
83 \tableofcontents
84 \listoffigures
85 \listoftables
86
87 \begin{acknowledge}
88 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 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 \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 %\input{SHAMS}
119
120 \backmatter
121
122 \bibliographystyle{ndthesis}
123 \bibliography{dissertation}
124
125 \end{document}
126
127
128 \endinput