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by Yu-san Cheung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1994. / Includes bibliographical references. / ABSTRACT --- p.ii / ACKNOWLEDGMENTS --- p.iv / EDITORIAL NOTE --- p.v / CONTENTS --- p.vi / LIST OF TABLES --- p.ix / LIST OF FIGURES --- p.xii / Chapter CHAPTER 1. --- INTRODUCTION / Chapter 1.1 --- Potential Energy Surfaces --- p.1 / Chapter 1.2 --- Ab initio Method --- p.1 / Chapter 1.2.1 --- Basis Sets --- p.2 / Chapter 1.2.2 --- Correlation Methods --- p.4 / Chapter 1.3 --- Locations and Characterizatioiis of Stationary Points --- p.5 / Chapter 1.4 --- Refinements of Energy and the Gaussian-2 Method --- p.7 / REFERENCES --- p.10 / Chapter CHAPTER 2. --- AN AB INITIO MOLECULAR ORBITAL STUDY OF THE GaH4 POTENTIAL ENERGY SURFACE / Chapter 2.1 --- Introduction --- p.12 / Chapter 2.2 --- Computational Details --- p.12 / Chapter 2.3 --- Results and Discussion --- p.13 / Chapter 2.3.1 --- Jahn-Teller Distortion from Td Symmetry --- p.18 / Chapter 2.3.2 --- Transition Structures Connecting Various Equilibrium Structures --- p.19 / Chapter 2.3.3 --- The Dissociation Products --- p.20 / Chapter 2.4 --- Conclusion --- p.21 / REFERENCES --- p.22 / Chapter CHAPTER 3. --- A GAUSSIAN-2 AB INITIO STUDY OF THE CH3S2 AND CH3S2+ POTENTIAL ENERGY SURFACES / Chapter 3.1 --- Introduction --- p.24 / Chapter 3.2 --- Computational Details --- p.25 / Chapter 3.3 --- Results and Discussion --- p.26 / Chapter 3.3.1 --- The Potential Energy Surface of CH3S2 Radicals --- p.26 / Chapter 3.3.2 --- The Potential Energy Surface of CH3S2+ Cations --- p.37 / Chapter 3.3.3 --- The Equilibrium Structures of CH3S2- Anions --- p.40 / Chapter 3.3.4 --- Interpretation of Experimental Results with Theoretical Predictions --- p.40 / Chapter 3.4 --- Conclusion --- p.42 / REFERENCES --- p.43 / Chapter CHAPTER 4. --- A GAUSSIAN-2 AB INITIO STUDY OF THE CH3O2 AND CH302+ POTENTIAL ENERGY SURFACES / Chapter 4.1 --- Introduction --- p.46 / Chapter 4.2 --- Computational Details --- p.47 / Chapter 4.3 --- Results and Discussions --- p.48 / Chapter 4.3.1 --- The Equilibrium Structures of CH3O2 Radicals --- p.48 / Chapter 4.3.2 --- The Transition Structures of CH3O2 Radicals --- p.59 / Chapter 4.3.3 --- The Equilibrium Structures of CH3O2+ Cations --- p.62 / Chapter 4.3.4 --- The Transition Structures of CH3O2+ Cations --- p.66 / Chapter 4.3.5 --- "The Equilibrium Structures of CH3O2"" Anions" --- p.68 / Chapter 4.3.6 --- Comparisons with Available Experimental Results --- p.69 / Chapter 4.4 --- Conclusion --- p.59 / REFERENCES --- p.72 / Chapter CHAPTER 5. --- MISCELLANEOUS / Chapter 5.1 --- "A Gaussian-2 ab initio Study of CH3SSCH2,CH3SF and Their Cations" --- p.74 / Chapter 5.2 --- A Gaussian-2 ab initio Study of SF5 and SF5+ --- p.80 / Chapter 5.3 --- "A Gaussian-2 ab initio Study of SFn+/SFn/SFn -(n = 1, 2, 3)" --- p.84 / REFERENCES --- p.91 / Chapter CHAPTER 6. --- CONCLUSION --- p.93 / REFERENCES --- p.94 / "APPENDIX A. PROCEDURES IN THE G2, G2(MP3) AND G2(MP2) METHODS" / Chapter A.l --- Location of Geometry --- p.95 / Chapter A.2 --- "Approximation of the QCISD(T)/6-311+G(3df,2p) Energy" --- p.95 / Chapter A.3 --- High-Level Correlation (HLC) Correction --- p.96 / Chapter A.4 --- Zero-Point Vibrational Energy (ZPVE) --- p.96 / APPENDIX B ENTHALPY CALCULATION --- p.97

No description available.

Thesis (M.S.)--Virginia Polytechnic Institute and State University, 1993. / Vita. Abstract. Includes bibliographical references (leaves 24-27). Also available via the Internet.

Proefschrift-Leyden. / "Stellingen": leaf inserted. Summary in Dutch. Vita in Dutch. Includes bibliographical references.

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No description available.

The goal of this dissertation has been to develop a method that enables one to calculate accurate, rigorous lower bounds to the eigenvalues of the standard nonrelativistic spin-free Hamiltonian for an atom with N electrons. Lower bounds are necessary in order to complement upper bounds obtained from the Hartree-Fock and Rayleigh-Ritz techniques. Without accurate lower bounds, it is impossible to estimate the error of the approximate values of the energies. By combining two heretofore distinct methods and using the symmetry properties of the Hamiltonian, this goal has been achieved. The first of the two methods is the method of intermediate problems. By beginning with an appropriately chosen "base operator" H⁰, one forms a sequence of intermediate Hamiltonians Hᵏ, k = 1,2,..., whose corresponding eigenvalues form a sequence of lower bounds to the eigenvalues of the original Hamiltonian H. Complications which occurred in this method due to the stability of essential spectra under compact perturbations were later surmounted with the use of abstract separation of variables by D. W. Fox. The second technique, the effective field method, provides a lower bound operator to the interelectron repulsion term in H that is of the form of a sum of separable potentials. This latter technique reduces the eigenvalue problem for H⁰ to a sum of single particle operators. With the use of a special potential, the Hulthen potential, one may construct an explicitly solvable base problem from the effective field method, if one uses the method of intermediate problems to calculate lower bounds to non-S states. This base problem is then suitable as a starting point for the method of intermediate problems with the Fox modifications. The eigenvalues of the new base problem are already comparable to the celebrated Thomas-Fermi energies. The final part of the dissertation provides a practical procedure for determining the physically realizable spectra of the intermediate operators. This is accomplished by restricting the Hamiltonian to subspaces of proper physical symmetry so that the resulting lower bounds will be to eigenvalues of physical significance.

published_or_final_version / Chemistry / Doctoral / Doctor of Philosophy

The last two decades have seen huge improvements in measuring the conductance of single molecules, especially with the establishment of the scanning tunneling microscope break-junction (STM-BJ) method. The availability of such a robust and reliable measurement technique allows for the study of more exotic molecules with built-in functionality. In this thesis, we employ creative chemical design to manipulate transport in a single molecule junction by tuning the conducting frontier orbitals. We investigate three classes of materials – thiophene dioxides, mixed-valence bis(triarylamines), and benzotriazinyl-based Blatter radicals. Within each system, we probe changes in conducting behavior or interfacial interactions that arise from modifying the molecular structure. First, we demonstrate that a family of thiophene pentamers, which typically conduct through their highest occupied molecular orbital (HOMO), can be induced to conduct through their lowest unoccupied molecular orbital (LUMO) instead. This is akin to switching between from hole to electron transport. The switching was achieved using chemical modifications that drastically lower the LUMO level toward the Fermi energy of gold: oxidation at the sulfur position to form thiophene dioxides combined with installing electron-withdrawing groups at the 3- and 4-positions of the thiophene moiety. The ability to tune HOMO versus LUMO transport is potentially useful for assembling molecular circuits with n- and p-type components. Next, we found that oxidation of bis(triarylamine) molecular wires into their mixed-valence state shifts their conducting orbitals close to the Fermi energy of gold, making these wires highly conducting. We measured the length dependent transport of three bis(triarylamine) molecules. In their neutral state, the conductance of these compounds decreases with increasing length, which is observed for many different systems. However, when they are chemically oxidized, the mixed-valence molecular wires show an increase in conductance with increasing length. Such wires that maintain good electrical transport over long distances are valuable for building efficient molecular devices. We then investigated the interaction of half-filled orbitals in organic radicals with gold substrates to explore the potential of these compounds for spintronic and magnetic applications. We found that a Blatter radical functionalized with gold-binding thiomethyl groups displays different charge transfer behavior depending on the environment. Under ultra-high vacuum, X-ray spectroscopy shows that the radical molecules in contact with the gold substrate gain a charge from gold and their singly unoccupied molecular orbitals get filled. Contrastingly, in solution-based single molecule measurements, the radical loses the electron from its singly occupied molecular orbital instead, and only the conductance of the oxidized species is detected. We further probed the nature of charge transfer between the Blatter radical and gold in ultra-high vacuum by comparing spectroscopic measurements from three different derivatives. The derivative that was functionalized with two thiomethyl groups in order for it to be measured in the STM-BJ was the only molecule to undergo charge transfer in ultra-high vacuum. Two other Blatter derivatives that had only one and no thiomethyl groups did not show the same charge transfer; these retained their radical character even when in contact with the gold substrate. Therefore, the results indicate that only one of the thiomethyl groups mediates charge transfer between radical and substrate. The body of work presented herein shows that chemical modifications to old and new systems can be used to modulate transport in junctions via the intrinsic character of the molecules rather than external engineering factors. Thiophene dioxides are a relatively nascent class of materials that already show versatility as molecular conductors, while organic mixed-valence and radical systems have been heavily researched in other fields but less so in molecular electronics. This thesis therefore seeks to encourage further research that takes advantage of the unique electronic structure of these materials systems to discover new transport phenomena.