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The high selectivity of biological transformations taking place in Nature have long inspired synthetic chemists to develop analogous chemical processes. Similarly, transient intermediates identified in chemical transformations often provide a basis to understand biological processes. Therefore, new insights gained in biological studies are often useful for chemistry and vice versa.
Proteins, and catalytically active enzymes, are among the most essential units of living cells. Metalloproteins or -enzymes, i.e., proteins or enzymes that contain transition metal ions such as copper, nickel, iron or zinc are often involved in processes like (1) metal-ion storage and transport, (2) exchange of electrons with the environment in catalysis and electron transfer reactions, and (3) dioxygen storage, transport, and metabolization.
For decades, copper-mediated biological oxidations have spurred a great deal of interest among synthetic and catalytic chemists. Copper enzymes such as dopamine β-monooxygenase (DβM), peptidylglycine α-hydroxylating monooxygenase (PHM),particulate methane monooxygenase (pMMO) and tyrosinase activate molecular oxygen (O2) and incorporate one of the oxygen atoms selectively into C−H bonds yielding hydroxylated organic substrates. Remarkable progress in bioinorganic research has led to the development of a large number of copper-based model systems supported by various nitrogen donor ligands that bind O2, cleave the O−O bond, and/or afford hydroxylation reactions similar to copper enzymes. These synthetic model systems have helped to understand the structureactivity relationships of their biological role models and supporting theoretical studies have contributed substantially to the development of the field. Specifically, several density functional theory (DFT) studies have provided detailed mechanistic insights into coppermediated aliphatic and aromatic hydroxylation reactions. Until to date, however, pertinent quantum chemical research still suffers from severe problems as to identify sufficiently accurate and efficient methods for mechanistic studies, and conflicting literature reports have created confusions within the scientific community. Therefore, the first aim of this thesis is to identify a DFT method well suited to describe copper-mediated hydroxylation reactions. With this method at hand a number of interesting hydroxylation reactions is investigated aiming at a detailed understanding of the underlying reaction mechanisms.
The thesis is divided into four chapters of which the first, the introductory chapter, is further divided into three sections (1) copper proteins and enzymes, (2) copper-O2 reactivity in enzymes and (3) biomimetic Cu/O2 chemistry. The first section gives a brief overview of a number of copper enzymes. The second section provides a concise introduction to the biochemical transformations brought about by those copper enzymes that perform aliphatic and aromatic hydroxylation reactions. It is shown that such copper enzymes carry different types of active sites which are responsible for their specific biological functions. These copper enzymes with their biological function are the role models for synthetic chemistry. In the third section, biomimetic Cu/O2 chemistry, the insights gathered in the past 35 years of extensive research on copper-based synthetic model systems that mimic various aspects of copper-enzyme reactivity are reviewed. Various types of active copper sites have been realized in these synthetic model systems and a brief introduction to the respective reactivities towards C−H bonds is presented. We will specifically focus on isomerization processes of dinuclear active Cu2O2 sites and the specific reactivity aspects of these isomers, as these phenomena have been the subject of enormous research efforts aiming at the understanding of the function of the enzyme tyrosinase.
Theory has been integral part of this research and density functional theory (DFT) has effectively taken over the role as a working horse in most studies. Therefore, the second chapter is devoted to an exposition of earlier DFT applications in mechanistic studies of Cu/O2 chemistry. We specifically highlight the problems related to the use of DFT in this field and illustrate the present state of knowledge.
The third chapter of this thesis provides results and discussion of (1) DFT benchmark studies and (2) mechanistic studies. In the first section, the results of a careful benchmark study on the performance of various DFT methods to study the μ-η2:η2-peroxodicopper(II)/bis(μ-oxo)dicopper(III) core isomerization and the C–H hydroxylation processes are compared with available experimental reference data. We provide an assessment of the effects of relativity, counteranions, and dispersion on the reference reactions. The most suitable DFT method evolving from this study, BLYP-D/def2-TZVP including solvent and relativistic corrections, is applied in the next sections to investigate the mechanistic scenario underlying three copper-dioxygen mediated hydroxylation reactions of aliphatic and aromatic C–H bonds. Our mechanistic studies show that bis(μ-oxo)dicopper(III) complexes are capable of achieving selective aliphatic and aromatic C–H hydroxylations. The study of substituent effects in these reactions has further shown that the bis(μ-oxo)dicopper complex acts as an electrophile in hydroxylation.
The fourth chapter presents the conclusions of our investigations. Part of the work presented in this thesis has been published in a peer reviewed journal and enclosed in appendix 1. Further research work, not presented in chapters 1-4, was conducted during my PhD time. This has led to two publications which are added in the appendix.
This thesis primarily covers a systematic assessment of quantum chemical methods to predict accurate 19F NMR shifts for fluoroarenes and magnetic exchange coupling constant (J) in organic spin dimers which are basic building blocks for rational designing of organic magnetic materials.
One of the most important goals in chemistry is to design and synthesize molecules with optimum properties. This thesis is divided into two parts: the first part comprises of a systematic effort to find an inexpensive quantum chemical method to predict accurate 19F NMR chemical shifts (within an accuracy of 2 ppm) for perfluoraromatics. Essentially, these strenuous efforts have been devoted to find best DFT functional and basis set combination to predict accurate 19F shifts. In addition,the influence of geometrical parameters, solvents, chemical environment was also analyzed. Various correction approaches were tested to correct the calculated shifts. The influence of various functionals and basis sets was also analyzed on the correction efficiency of an individual scheme. All the NMR calculation methods already being used and correction approaches were verified to predict shifts of three different fluorine-substituted molecular sets. These structure sets include fluorobenzenes, substituted benzenes and fluorine substituted aromatic fused rings (e.g. fluorine substituted anthracene).
In the second part of this thesis, we investigated the accurate prediction of magnetic exchange couplings (J) for organic spin dimers using quantum chemical methods. We analyzed the performance of various DFT methods and various post-HF methods, such as the CASSCF, CASPT2, MSTDISD, DDCI1, DDCI2, DDCI3, and FCI to predict magnetic exchange couplings (J).
Overview of the Chapters:
Chapter 1, presents a brief theoretical introduction to the Schrödinger equation and its application in quantum mechanical calculations, the Hartree-Fock approximation, basis sets, electron correlation energy, and density functional theory (using pure and hybrid functionals).
In chapters 2 and 3, an introduction is given for quantum chemical approaches used to calculate NMR parameters and magnetic exchange coupling constants. We discuss an effective spin Hamiltonian, the Breit-Pauli Hamiltonian (BPH), chemical shielding tensor and total energy relationship, measuring of the NMR spectra, and different techniques to deal with gauge origin problem. In addition, the theoretical background of magnetic exchange coupling constant calculation for spin dimers, the Heisenberg-Dirac-van-Vleck Hamiltonian (HDVV) and the Noodelman's broken-symmetry approach for calculating J values are briefly discussed.
Chapter 4, presents a benchmark study of various DFT functionals and basis sets to calculate accurate C-F bond lengths and 19F chemical shifts. High-resolution NMR spectral data of complex molecules are often difficult to interpret. Great scientific efforts have been devoted to search for a computational approach to interpret experimental NMR data. Quantum chemical methods such as the CCSD(T) method offer high accuracy in calculation of NMR parameters but being computationally too demanding they cannot be applied to large chemical systems. On the other hand, density functional theory (DFT) is achieving a steady progress among diversity of computational techniques. An accuracy within 2 ppm deviation from the experimental values in 19F chemical shifts can be achieved if the NMR calculation is performed using accurate equilibrium geometries, GIAO is used to tackle gauge origin problem and electron correlation is properly treated by employing a high level of theory (e.g. CCSD (T)/cc-pVQZ). We found that the calculation of 19F shielding tensors with the density-functional theory does not provide any noticeable improvement over the HF method. Post-HF theory demands too much computational resources that makes them impossible to use for large systems [35] .
We found that a quantitative prediction of NMR shifts can be made as the errors introduced by theoretical methods are cancelled out while calculating shifts. Various benchmark studies in this thesis show that 19F chemical shifts calculated for perfluoraromatics with the M06-L, BHandH, BHandHLYP in combination with the 6-311+G (2d,p) basis set are within 4 ppm deviation from the experiments. Furthermore, we noted that NMR calculations on accurate
C-F (e.g. PBE/6-311G (d, p)) bond lengths does not show any improvement if the NMR calculation and optimization are performed at the same level of theory. A significant improvement can be achieved on calculated 19F NMR shifts, if some correction schemes are used.
In chapter 4 we discuss various correction schemes applied to correct the calculated 19F chemical shifts. A multi-standard approach (MSTD) was used to minimize the error that may occur due to the difference in the nature of the reference compound and test molecules [122]. We propose another approach to correct shielding constants which is the reference corrected approach. This approach makes a correction similar to the MSTD. We also tested a Linear Regression Correction Approach and we noted that this is the best approach amongst all. This is found to be less dependent on the theoretical method. We use conformation averaging corrections to correct the calculated shifts[126].
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