Molecular orbital calculations have been successively applied to mineralogical studies of equilibrium molecular geometry, electronic charge distributions, electronic spectra and bulk modulus calculations. To date, these studies have modelled bonding at atmospheric pressure. With the ever increasing interest in high pressure phases and mantle mineralogy, bonding studies of molecular groups at simulated high pressure can be an invaluable aid to understanding high pressure crystal chemistry, bond energetics and electronic spectra. This investigation tests the feasibility of various models to simulate pressure in ab initio SCF MO calculations on common metal-oxygen polyhedra. Pressure is simulated in the cluster, H₆Si₂O₇, by systematically stepping helium atoms directed^ along the Si-O bridging vectors toward the bridging oxygen. Changes in the Si-0 bond lengths, SiOSi angles and Si-0 force constants are monitored with increasing pressure. For an increase of 60 kbar pressure, the Si-0 bond length and SiOSi angle decrease 0.30% and 4.5%, respectively, which compares well with the 0.30% and 6.6% decrease observed in c-quartz for a similar increment of pressure. The linear correlation of Si-0 bond length and -sec(SiOSi), known to occur at one bar, holds at elevated pressure. In addition, the Si-0 stretching and SiOSi bending force constants show a percentage increase in the ratio 1:6 up to an estimated pressure of 140 kbar. / Science, Faculty of / Earth, Ocean and Atmospheric Sciences, Department of / Graduate

V. Fock studied the hydrogen atom problem in momentum space by projecting the space onto a 4-dimensional hyper-sphere. He found that as a consequence of the symmetry of the problem in this space the eigen-functions are the R4 spherical harmonics and that the eigenvalues are determined only by the principal quantum number n. In this chapter we note that if his method is applied to the 2-dimensional Kepler problem in momentum space, the eigenfunctions are the R3 spherical harmonics, Y1m, and the eigenvalues are determined only by the quantum number 1. These facts enable one to give a visualizable geometric discussion of the dynamical degeneracy.

No description available.

No description available.

<p> The involvement of d orbitals in the coordination of sulphur in three simple sulphur compounds ls Investigated using an ab initio approach. Comparison of minimal and extended basis set results for molecular properties such as dipole moment, molecular geometry, and force constants provides a means of establishing the importance of d orbitals In sulphur compounds and probably other second row compounds. Excited states of sulphur dioxide and ozone are studied in the hope of elucidating the respective spectra on a theoretical basis. These investigations also provide initial data for the parametrization of the semi-empirical CNDO approach for second row atoms. </p> / Thesis / Master of Science (MSc)

MSc (Chemistry) / Department of Chemistry

Modeling systems in liquid is imperative to chemistry, as many reactions take place in liquid, and nearly all of biochemistry is in the liquid state. Solvation Model 12 (SM12) is the newest Generalized Born Approximation iteration of a series of solvation models from Minnesota, it shows great promise for accurate, description of solutions. Shown is the full implementation of SM12 in to the pure Slater Type Orbital code, the Amsterdam Density Functional (ADF) package in particular. The model performs as well as its Gaussian Type Orbital counterpart. The model has been extended to account for periodic boundary conditions, as presented by the ADF-BAND code. The extension to infinite boundaries creates interesting edge effects that need to be taken into consideration, and are accounted for through cut off approximations and a screening function to ensure the potential is well-behaved. / October 2016

by Chan Chun-Chung, Jerry. / The "59" in Co in title is superscript. / Thesis (Ph.D.)--Chinese University of Hong Kong, 1996. / Includes bibliographical references (leaves 157-170). / DESCRIPTIVE NOTE --- p.iii / Chapter CHAPTER ONE: --- A BRIEF SURVEY OF TRANSITION METAL NMR STUDIES --- p.1 / Chapter 1.0 --- Introduction --- p.1 / Chapter 1.1 --- Solution NMR Of Transition Metals --- p.2 / Chapter 1.1.1 --- Parametrization Model of Chemical Shifts --- p.4 / Chapter 1.2 --- Theoretical Calculation of the Chemical Shielding Constants of Transition Metals --- p.6 / Chapter 1.3 --- Solid State NMR of Transition Metals --- p.7 / Chapter 1.4 --- Scope of the Thesis --- p.9 / Chapter CHAPTER TWO: --- THEORY AND BACKGROUND --- p.10 / Chapter 2.0 --- Introduction --- p.10 / Chapter 2.1 --- The Origin of Chemical Shielding --- p.10 / Chapter 2.1.1 --- The Ramsey Shielding Tensor Equation with Gauge Origin Chosen at the Nucleus --- p.13 / Chapter 2.1.2 --- The Ramsey Shielding Tensor Equation with Arbitrary Gauge Origin --- p.20 / Chapter 2.1.3 --- The Physical Picture Associated with the Ramsey Shielding Equation --- p.21 / Chapter 2.2 --- Ab Initio Shielding Calculation --- p.24 / Chapter 2.2.1 --- Coupled Hartree-Fock Method --- p.25 / Chapter 2.2.2 --- Gauge Dependence Problem --- p.27 / Chapter 2.2.3 --- Post Hartree-Fock Methods --- p.29 / Chapter 2.3 --- Density Functional Theory --- p.30 / Chapter 2.3.1 --- The Hohenberg-Kohn Theorems --- p.30 / Chapter 2.3.2 --- The Kohn-Sham Approach --- p.35 / Chapter 2.3.3 --- Approximation to the Exchange- Correlation Energy --- p.37 / Chapter CHAPTER THREE: --- INTERPRETATION OF 59Co NMR SHIELDING USING THE HARD AND SOFT ACID-BASE CONCEPT -- INSIGHT INTO THE RELATIVE MAGNITUDE OF THE NEPHELAUXETIC AND THE SPETROCHEMICAL EFFECT --- p.39 / Chapter 3.0 --- Introduction --- p.39 / Chapter 3.1 --- Theory --- p.42 / Chapter 3.2 --- Evaluation of the Model --- p.45 / Chapter 3.3 --- Application to the Studies of trans-[Co(en)2X2](3+2n) + in Different Solvents and the Determination of the Spectrochemical Trend --- p.54 / Chapter 3.4 --- "Simultaneous Determination of the Nuclear Quadrupole Coupling Constant, Chemical Shift Anisotropy and Rotational Correlation Time in trans-Na[Co(acac)2(NO2)2]， trans- [Co(acac)2(NH3)2 ]I, trans-[Co(acac)2(CH3NH2)2]I and trans-[Co(acac)2(NH3)(NO2)]" --- p.59 / Chapter 3.5 --- Summary --- p.64 / Chapter CHAPTER FOUR: --- DENSITY FUNCTIONAL STUDY OF THE ELECTRONIC STRUCTURES OF [Co(NH3)5X](3+n)+ USING DIFFERENT POPULATION AND BONDING ANALYSIS METHODS --- p.66 / Chapter 4.0 --- Introduction --- p.66 / Chapter 4.1 --- Computational Details --- p.69 / Chapter 4.2 --- Bond Covalency Analysis of [Co(NH3)5X](3+n)+ --- p.71 / Chapter 4.2.1 --- Mayer Bond Order Analysis --- p.71 / Chapter 4.2.2 --- Natural Population Analysis --- p.73 / Chapter 4.2.3 --- Natural Bond Orbital Analysis --- p.76 / Chapter 4.2.4 --- Mulliken Population Analysis --- p.82 / Chapter 4.3 --- Summary --- p.86 / Chapter CHAPTER FIVE: --- DENSITY FUNCTIONAL STUDY OF 59Co CHEMICAL SHIELDING CONSTANTS --- p.87 / Chapter 5.0 --- Introduction --- p.87 / Chapter 5.1 --- SOS-DFPT-IGLO Calculations of 59Co NMR Shielding Parameters of Hexacoordinated Diamagnetic Co(III) Complexes --- p.90 / Chapter 5.1.1 --- Computational Details --- p.91 / Chapter 5.1.2 --- Basis Sets and XC Functional for 59Co Shielding Calculations --- p.92 / Chapter 5.1.2.1 --- 59Co NMR Shielding Calculation of [Co(CN)6]3- --- p.92 / Chapter 5.1.2.2 --- Nearest Neighbour Effect --- p.94 / Chapter 5.1.3 --- Comparison of the Calculated and Experimental 59Co Chemical Shift Anisotropy and Asymmetry Factor --- p.95 / Chapter 5.1.4 --- Comparison of the Calculated and Experimental 59Co Isotropic Chemical Shifts --- p.97 / Chapter 5.1.4.1 --- Reproducing the Experimental Trend by SOS-DFPT-IGLO? --- p.99 / Chapter 5.1.4.2 --- Local and Non-local Paramagnetic Shielding Contributions --- p.103 / Chapter 5.1.5 --- General Comments of the Calculated Results --- p.104 / Chapter 5.2 --- A Comparative Study of the Calculation of 59Co NMR Shielding Constants of Hexacoordinated Diamagnetic Co(III) Complexes Using SOS-DFPT-IGLO and Hybrid DFT-GIAO Methods --- p.105 / Chapter 5.2.1 --- Computational Details --- p.106 / Chapter 5.2.2 --- Comparison of DFT-IGLO-Becke/Perdew and DFT-GIAO-Becke/Perdew --- p.106 / Chapter 5.2.3 --- DFT-GIAO-B3LYP --- p.108 / Chapter 5.2.4 --- Summary --- p.111 / Chapter CHAPTER SIX: --- STUDY OF THE SHIELDING CONSTANTS OF DIAMAGNETIC HEXACOORDINATED Co(III) COMPLEXES BY POLYCRYSTALLINE 59Co NMR AND DENSITY FUNCTIONAL THEORY --- p.112 / Chapter 6.0 --- Introduction --- p.112 / Chapter 6.1 --- Solid State NMR Technique for Quadrupolar Nuclei --- p.112 / Chapter 6.2 --- Static Powder Lineshape Analysis --- p.114 / Chapter 6.2.1 --- Excitation of Quadrupolar Nuclei --- p.114 / Chapter 6.2.1.1 --- Selective and Partially Selective Excitation --- p.116 / Chapter 6.2.2 --- Spin Echo Pulse Sequence --- p.117 / Chapter 6.2.3 --- Lineshape Simulation --- p.120 / Chapter 6.3 --- Solid State 59Co NMR Study of Hexacoordinated Co(III) Complexes --- p.124 / Chapter 6.3.1 --- Experimental --- p.124 / Chapter 6.3.2 --- Simulation Details --- p.125 / Chapter 6.3.2.1 --- [Co(NH3)4CO3]NO3 --- p.127 / Chapter 6.3.2.2 --- [Co(en)2CO3]Cl and [Co(en)2NO3](NO3)2 --- p.130 / Chapter 6.3.2.3 --- cis-[Co(en)2(N02)2]NO3 and cis-[Co(en)2(N3)2]NO3 --- p.133 / Chapter 6.3.2.4 --- K3[Co(CN)6] --- p.133 / Chapter 6.3.2.5 --- "Co(acac)3， K3[Co(NO2)6] and [Co(en)3]X3 (X = C1, Br, I)" --- p.137 / Chapter 6.4 --- Dependence of 59Co Shielding Calculation on Basis Sets and Exchange Correlation Functional --- p.143 / Chapter 6.4.1 --- CSA and η calculations of [Co(NH3)4C03] Br --- p.144 / Chapter 6.4.2 --- CSA and η Calculations of [Co(NH3)6]C13 --- p.147 / Chapter 6.4.3 --- Shielding Calculations of Larger Co(III) Complexes at B3PW91/6311+G* Level --- p.149 / Chapter 6.5 --- Summary --- p.153 / Chapter CHAPTER SEVEN: --- CONCLUSION AND FUTURE WORK --- p.154 / BIBLIOGRAPHY --- p.157 / APPENDIX A MATHEMATICAL DETAILS FOR THE DERIVATION OF THE RAMSEY SHIELDING EQUATION --- p.171 / APPENDIX B ANALYSIS OF THE SIGN OF PARAMAGNETIC AND DIAMAGNETIC SHIELDING --- p.178 / APPENDIX C GENERALIZATION OF EQUATION [3.4] TO INCLUDE THE EFFECT OF π-BONDING --- p.181 / APPENDIX D GEOMETRY OPTIMIZATION OF CoH AND CoO --- p.183 / APPENDIX E A NON-LINEAR ITERATIVE LEAST SQUARE FITTING PROCEDURE FOR THE ANALYSIS OF SOLID STATE NMR STATIC SPECTRUM OF QUADRUPOLAR NUCLEUS --- p.187

Chien Siu-Hung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2000. / Includes bibliographical references. / Abstracts in English and Chinese. / Abstract (English) / Abstract (Chinese) / Acknowledgements / Table of Contents / Chapter Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- The Gaussian-2 Method / Chapter 1.2 --- The Gaussian-3 Method / Chapter 1.3 --- The G3 Method with Reduced Moller-Plesset Order and Basis Set / Chapter 1.4 --- Calculated Thermochemical Data / Chapter 1.5 --- Remark on the Location of Transition State / Chapter 1.6 --- Scope of the Thesis / Chapter 1.7 --- References / Chapter Chapter 2 --- "Energetics and Structures of the Carbonyl Chloride Radical, Oxalyl Chloride, and Their Cations" --- p.6 / Chapter 2.1 --- Introduction / Chapter 2.2 --- Computational Methods / Chapter 2.3 --- Results and Discussion / Chapter 2.3.1 --- Carbonyl Chloride and Its Cation / Chapter 2.3.2 --- The anti and syn Conformers of Oxalyl Chloride and Oxalyl Chloride Cation / Chapter 3.3.3 --- The anti and gauche Conformers of (ClCO) 2 and the TS Linking Them / Chapter 2.4 --- Conclusions / Chapter 2.5 --- Publication Note / Chapter 2.6 --- References / Chapter Chapter 3 --- "An Isomeric Study of N5, N5+，and N5- : A Gaussian-3 Investigation" --- p.17 / Chapter 3.1 --- Introduction / Chapter 3.2 --- Computational Methods / Chapter 3.3 --- Results and Discussion / Chapter 3.3.1 --- "The N5 Isomers """ / Chapter 3.3.2 --- The N5+ Isomers / Chapter 3.3.3 --- The N5- Isomers / Chapter 3.3.4 --- Comparison of the G3 and G3(MP2) Results / Chapter 3.4 --- Conclusions / Chapter 3.5 --- Publication Note / Chapter 3.6 --- References / Chapter Chapter 4 --- Thermochemistry of Hydrochlorofluorosilanes : An Ab Initio Gaussian-3 Study --- p.28 / Chapter 4.1 --- Introduction / Chapter 4.2 --- Computational Methods / Chapter 4.3 --- Results and Discussion / Chapter 4.3.1 --- Heats of Formation for Neutral HCFSis / Chapter 4.3.2 --- Ionization Energies / Chapter 4.3.3 --- Electron Affinities / Chapter 4.3.4 --- Proton Affinities / Chapter 4.3.5 --- Acidities / Chapter 4.3.6 --- G3 versus G3(MP2) / Chapter 4.4 --- Conclusions / Chapter 4.5 --- Publication Note / Chapter 4.6 --- References / Chapter Chapter 5 --- A Gaussian-3 Study of the Photodissociation Channels of Thiirane --- p.48 / Chapter 5.1 --- Introduction / Chapter 5.2 --- Computational Methods / Chapter 5.3 --- Results and Discussion / Chapter 5.3.1 --- The Heats of Reactions / Chapter 5.3.2 --- The Dissociation Channels Taking Place at the Ground State / Chapter 5.3.3 --- The Dissociation Channels Taking Place at Excited States / Chapter 5.4 --- Conclusions / Chapter 5.5 --- References / Chapter Chapter 6 --- A Gaussian-3 Study of the VUV Photoionization and Photodissociation of Chloropropylene Oxide --- p.59 / Chapter 6.1 --- Introduction / Chapter 6.2 --- Computational Methods / Chapter 6.3 --- Results and Discussion / Chapter 6.3.1 --- Ionization Energy / Chapter 6.3.2 --- Dissociation Channels / Chapter 6.4 --- Conclusions / Chapter 6.5 --- Publication Note / Chapter 6.6 --- References / Chapter Chapter 7 --- Conclusions --- p.69 / Appendix A The Gaussian-n (n=l-3) Theoretical Models --- p.71 / Chapter A.1 --- The G1 and G2 Theories / Chapter A.2 --- The G3 Theory / Chapter A.3 --- The G3(MP2) Theory / "Appendix B Calculation of Enthalpy at 298 K,H298" --- p.74

Li Chi-Lun. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references. / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgements --- p.iii / Table of Contents --- p.iv / Chapter Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Remark on the Location of Transition Structures --- p.1 / Chapter 1.2 --- Scope of the Thesis --- p.1 / Chapter 1.3 --- References --- p.2 / Chapter Chapter 2 --- "A Gaussian-3 Study on the Photodissociation of Phenylacetylene and Formation of 1,3,5-Hexatriyne" --- p.5 / Chapter 2.1 --- Introduction --- p.6 / Chapter 2.2 --- Computational Method --- p.7 / Chapter 2.3 --- Results and Discussion --- p.8 / Chapter 2.3.1 --- Phenylacetylene → Acetylene + Benzyne --- p.8 / Chapter 2.3.2 --- "Phenylacetylene → Acetylene + (Z)-3 -Hexene- 1,5-diyne" --- p.9 / Chapter 2.3.3 --- "(Z)-3-Hexene-l,5-diyne / (E)-3 -Hexene-1,5-diyne → 1,3,5-Hexatriyne and Molecular Hydrogen" --- p.9 / Chapter 2.3.4 --- Evaluation of Thermochemical Data --- p.10 / Chapter 2.3.5 --- Evaluation of Ion Energetics Data --- p.10 / Chapter 2.4 --- Conclusions --- p.10 / Chapter 2.5 --- References --- p.11 / Chapter Chapter 3 --- A Gaussian-3 Study of the Photoionization and Dissociative Photoionization Channels of Cyanoethylene --- p.21 / Chapter 3.1 --- Introduction --- p.22 / Chapter 3.2 --- Computational Method --- p.22 / Chapter 3.3 --- Results and Discussion --- p.23 / Chapter 3.3.1 --- Bond Cleavage Reactions --- p.23 / Chapter 3.3.2 --- Dissociation Channels Involving Transition Structures --- p.25 / Chapter 3.4 --- Conclusions --- p.25 / Chapter 3.5 --- References --- p.26 / Chapter Chapter 4 --- "A Gaussian´ؤ2 Study of Structures, Energetics, and Reactions of C2H3S- Anions" --- p.34 / Chapter 4.1 --- Introduction --- p.35 / Chapter 4.2 --- Computational Method --- p.35 / Chapter 4.3 --- Results and Discussion --- p.36 / Chapter 4.3.1 --- Thioformylmethyl Anion --- p.37 / Chapter 4.3.2 --- Thioacetyl Anion --- p.37 / Chapter 4.3.3 --- Cyclic C2H3S- Ions --- p.37 / Chapter 4.3.4 --- CH2SCH- --- p.38 / Chapter 4.3.5 --- 2-Thiovinyl Anion --- p.38 / Chapter 4.3.6 --- 1-Thiovinyl Anion --- p.39 / Chapter 4.3.7 --- Intramolecular Rearrangements of 1- --- p.39 / Chapter 4.3.8 --- Intramolecular Rearrangements of Cyclic C2H3S- ions and 1´ؤThiovinyl Anion --- p.39 / Chapter 4.4 --- Conclusions --- p.40 / Chapter 4.5 --- References --- p.40 / Chapter Chapter 5 --- "Theoretical Studies of Transition Metal Complexes: Bond Energies for Fe+-D, Fe+-H2O, and Fe+-CO" --- p.51 / Chapter 5.1 --- Introduction --- p.52 / Chapter 5.2 --- Computational Method --- p.53 / Chapter 5.3 --- Results and Discussion --- p.54 / Chapter 5.3.1 --- Fe+-D --- p.54 / Chapter 5.3.2 --- Fe+-CO --- p.54 / Chapter 5.3.3 --- Fe+-H2O --- p.55 / Chapter 5.4 --- Conclusions --- p.56 / Chapter 5.5 --- References --- p.57 / Chapter Chapter 6 --- Ab Initio Study of the Charge-Delocalized and -Localized Form of the Rhodizonate Dianion --- p.61 / Chapter 6.1 --- Introduction --- p.62 / Chapter 6.2 --- Computational Method --- p.63 / Chapter 6.3 --- Results and Discussion --- p.64 / Chapter 6.3.1 --- Charge-Localized C6062- --- p.64 / Chapter 6.3.2 --- Charge-Delocalized C6062- --- p.64 / Chapter 6.4 --- Conclusions --- p.65 / Chapter 6.5 --- References --- p.66 / Chapter Chapter 7 --- "Franck-Condon Factor Simulated Spectra of the Cations of cis-2-Butene,trans-2-Butene, Isobutene, cis-Dichloroethene, and trans-Dichloroethene" --- p.71 / Chapter 7.1 --- Introduction --- p.72 / Chapter 7.2 --- Computational Method --- p.72 / Chapter 7.3 --- Results and Discussion --- p.73 / Chapter 7.3.1 --- cis-2-Butene Cation --- p.73 / Chapter 7.3.2 --- trans-2-Butene Cation --- p.74 / Chapter 7.3.3 --- cis-Dichloroethene Cation --- p.75 / Chapter 7.3.4 --- trans-Dichloroethene Cation --- p.76 / Chapter 7.3.5 --- Isobutene --- p.76 / Chapter 7.4 --- Conclusions --- p.77 / Chapter 7.5 --- References --- p.77 / Chapter Chapter 8 --- Conclusions --- p.88 / Appendix A --- p.89 / Appendix B --- p.91 / Appendix C --- p.92