Density-functional theory has become an indispensible tool for studying matter on the atomic level, being routinely applied across diverse disciplines from solid-state physics to chemistry and molecular biology. Its failure to account for dispersion interactions has spurred intensive research over the past decade. In this thesis, a semilocal density-functional approximation including dispersion is developed by combining standard functionals for exchange and correlation with the nonempirical “exchange-hole dipole moment“ (XDM) dispersion model of Becke and Johnson. With a minimum of empiricism, the method accurately describes all types of noncovalent interactions, from the extremely weak dispersion forces in rare-gas systems to the hydrogen bonding and stacking interactions responsible for the structure and function of biological macromolecules such as DNA and proteins. The method is compatible with a wide variety of standard Gaussian basis sets, and is easily applied to any system that can be modeled with density-functional theory.

Data is presented for a range of experiments that have been performed using a selected ion flow tube (SIFT) instrument operated at room temperature (~ 298K) with carrier gas pressures typically in the range of 0.3 – 0.6 Torr. The majority of the experiments discussed are performed on a Voice100 instrument that has not been described in detail previously. The Voice100 is a novel instrument that has been designed particularly for quantitative trace gas analysis using the SIFT-MS technique. A mixture of helium and argon carrier gases are employed in the Voice100 flow tube. By mixing carrier gases, the flow dynamics and diffusion characteristics of a flow tube are altered when compared to classic single carrier gas models. Therefore firstly, optimal flow conditions for the operation of a Voice100 are characterised. The diffusion of an ion in a mixture of carrier gases is then characterised using theoretical models and experimental techniques. This research requires that a new parameter Mp be defined regarding the mass discrimination of an ion in the non-field-free region near the downstream ion sampling orifice. Furthermore, a new method is described for the simultaneous measurement of rate coefficients for the reactions of H₃O⁺.(H₂O)n (n = 1, 2, 3) ions with analytes. Rate coefficients and branching ratios for the reactions of SIFT-MS precursor ions with specific analytes related to four individual applications are presented. For each application, the kinetic parameters are determined so as to facilitate the quantitative detection of the analytes relevant to that application. The GeoVOC application involves the measurement of hydrocarbon concentrations in the headspace of soil and water across a range of humidities. Alkyl esters are investigated to allow for the quantitative detection of each compound in fruits and vegetables. Chemical warfare agents, their surrogates and precursor compounds are studied which allows for the quantitative or semi-quantitative detection of a range of highly toxic compounds. Finally, 17 compounds classified by the US-EPA as hazardous air pollutants are studied that enables SIFT-MS instruments to replicate sections of the TO-14A and TO-15 methods.

To exemplify how theoretical chemistry can be applied to understand ground and excited state reactivity, four different chemical reactions have been modeled. The ground state chemical reactions are the simplest models in chemistry. To begin, a route to break down halomethanes through reactions with ground state cyano radical has been selected. Efficient explorations of the potential energy surfaces for these reactions have been carried out using the artificial force induced reaction algorithm. The large number of feasible pathways for reactions of this type, up to eleven, shows that these seemingly simple reactions can be quite complex. This exploration is followed by accurate quantum dynamics with reduced dimensionality for the reaction between Cl− and PH2Cl. The dynamics indicate that increasing the dimensionality of the model to at least two dimensions is a crucial step for an accurate calculation of the rate constant. After considering multiple pathways on a single potential energy surface, various feasible pathways on multiple surfaces have been investigated. As a prototype of these reactions, the thermal decomposition of a four-membered ring peroxide compound, called 1,2-dioxetane, which is the simplest model of chemi- and bioluminescence, has been studied. A detailed description of this model at the molecular level can give rise to a unified understanding of more complex chemiluminescence mechanisms. The results provide further details on the mechanisms and allow to rationalize the high ratio of triplet to singlet dissociation products. Finally, a thermal decomposition of another dioxetane-like compound, called Dewar dioxetane, has been investigated. This study allows to understand the effect of conjugated double bonds adjacent to the dioxetane moiety in the chemiluminescence mechanism of dioxetane. Our studies illustrate that no matter how complex a system is, theoretical chemistry can give a level of insight into chemical processes that cannot be obtained from other methods.

The nonlinear optical (NLO) properties were investigated in various extended　π-conjugated chromophores: cyanine and alkyne carbocations; porphyrin dimers; and squaraine compounds that possess electronic, double resonance, and vibronic based NLO properties. In summary: (i) It was demonstrated that the alkyne carbocations have very similar optical properties to traditional cyanine dyes. Our theoretical results establish that the alkyne carbocations, in spite of their significant degree of bond-length alternation, behave in the same way as cyanine dyes. (ii) The nature of the -bridge in porphyrin dimers tunes the electronic coupling strength, which in turn determines the splitting of the energy levels and the (non)linear optical properties. (iii) We have shown that the origin of the lowest TPA-active states in squaraines is dependent on the nature of substituent donor moiety, changing from predominantly electronic to vibronic in character. For all squaraines containing indolinylidenemethyl donors, a vibronic origin for the TPA peak, and the energy and lineshape of the experimentally observed lowest TPA peak in these compounds were confirmed.

This study concerns the synthesis, structure and reactivity of nitrosyl complexes of ruthenium and osmium. Attempts have been made to prepare coordinatively saturated and unsaturated complexes and a study of their oxidative addition reactions bears considerable resemblance to the more familiar carbonyl complexes M(CO)3(PPh3)2. A number of interesting atom transfer reactions, generally involving oxygen, have been observed. The d8 complex RuCl(CO)(NO)(PPh3)2 results from the interaction of RuHCl(CO)(PPh3)3 with N-methyl-N-nitrosotoluene-p-sulphonamide. The labile halide ligand is readily displaced by a large range of anions and it is believed that both linear and bent nitrosyl linkages may exist for different members of this series. The structures of these complexes are discussed in the light of recent X-ray crystal structure data. Halogens and hydrogen halides add to give the familiar RuX3(NO)(PPh3)2; RuCl3(NO)(PPh2Me)2 is prepared in a direct reaction and also by phosphine exchange and 1H n.m.r. data confirm that the phosphine ligands are trans. The complexes RuX(CO)(NO)(PPh3)2 react readily with O2 to form the dioxygen complexes Ru(O2)X(NO)(PPh3)2. Halogens and hydrogen halides produce RuX3(NO)(PPh3)2. The dioxygen complexes react with SO2 and N2O4 to give sulphato and dinitrato complexes respectively. The reaction with CO results in the intramolecular oxidation of the nitrosyl group to coordinated nitrate accompanied by the incorporation of two moles of CO, i.e. RuX(NO3)(CO)2(PPh3)2 is formed. The dioxygen complexes catalytically oxidise triphenylphosphine or triphenylarsine to the respective oxides and RuX(NO)(PPh3)2 can be isolated from this cycle. Reactions of these four-coordinated complexes with O2, CO, Cl2 and NOBF4 are recorded. The dinitrosyl complex Ru(NO)2(PPh3)2 is reported from a number of syntheses, the most successful being via a ligand reaction when RuCl2(CO)2(PPh3)2 is heated with NaNO2 and Ph3P in dimethyl formamide. The P-tolyldiphenylphosphine analogue is also reported and the mono-substituted product Ru(NO)2(PPh3)[P(OPh)3] is produced in an exchange reaction between Ru(NO)2(PPh3)2 and excess triphenylphosphite. This phosphite complex reacts with Ph3P and O2 to produce Ru(O2)(NO2)(NO)PPh3)2 by an atom transfer process. Ru(NO)2(PPh3)2 reacts with the acids HY (Y = BF4, PF6, ClO4) and O2 to give the dinitrosyl cations [Ru(OH)(NO)2(PPh3)2]+Y- in which the two nitrosyl groups are structurally and electronically inequivalent. [RuCl(NO)2(PPh3)2]BF4 is reported and reactions of these dinitrosyl cations with halide ions to give RuX2(NO3)(NO)(PPh3)2, with intramolecular oxidation of the NO group, are also described. OsCl2(OH)(NO)(PPh3)2 reacts irreversibly with alcohols to form OsCl2(OR)(NO)(PPh3)2 (R = CH3, C2H5, n-C3H7, (CH3O)CH2CH2) which readily undergo hydride abstraction to form OsHCl2(NO)(PPh3)2. Sodium borohydride converts this complex to the trihydrido species OsH3(NO)(PPh3)2 and if the reaction is performed in the presence of Ph3P, OsH(NO)(PPh3)3 results. The coordinated perchlorate complex OsHCl(OClO3)(NO)(PPh3)2 results form the reaction of OsHCl2(NO)(PPh3)2 with silver perchlorate; this is readily reversed by chloride ions or the solvents CH2Cl2 and CHCl3. This perchlorato complex also arises from the reaction of OsH(CO)(NO)(PPh3)2 with HClO4 and a related tetrafluoroborato complex, OsH(OC2H5)(FBF3)(NO)(PPh3)2 by substituting HBF4. This complex reacts with Ph3P to give [OsH(OH)(NO)(PPh3)3]BF4, CO to give [Os(CO)2(NO)(PPh3)2]BF4 and LiX (X = Br, I) to give OsHX2(NO)(PPh3)2. OsHCl(OClO3)(NO)(PPh3)2 reacts with NaOH in methanol, in the presence of O2 to produce Os(O2)Cl(NO)(PPh3)2. This dioxygen complex is far less stable than the ruthenium analogue but it undergoes similar reactions. Ph3P is oxidised, SO2 and CO give sulphato and a nitratodicarbonyl complex respectively. Infra-red, 1H n.m.r., conductivity, molecular weight data and elemental analysis have been used in formulation and structural assignment.

This study concerns the synthesis, structure and reactivity of nitrosyl complexes of ruthenium and osmium. Attempts have been made to prepare coordinatively saturated and unsaturated complexes and a study of their oxidative addition reactions bears considerable resemblance to the more familiar carbonyl complexes M(CO)3(PPh3)2. A number of interesting atom transfer reactions, generally involving oxygen, have been observed. The d8 complex RuCl(CO)(NO)(PPh3)2 results from the interaction of RuHCl(CO)(PPh3)3 with N-methyl-N-nitrosotoluene-p-sulphonamide. The labile halide ligand is readily displaced by a large range of anions and it is believed that both linear and bent nitrosyl linkages may exist for different members of this series. The structures of these complexes are discussed in the light of recent X-ray crystal structure data. Halogens and hydrogen halides add to give the familiar RuX3(NO)(PPh3)2; RuCl3(NO)(PPh2Me)2 is prepared in a direct reaction and also by phosphine exchange and 1H n.m.r. data confirm that the phosphine ligands are trans. The complexes RuX(CO)(NO)(PPh3)2 react readily with O2 to form the dioxygen complexes Ru(O2)X(NO)(PPh3)2. Halogens and hydrogen halides produce RuX3(NO)(PPh3)2. The dioxygen complexes react with SO2 and N2O4 to give sulphato and dinitrato complexes respectively. The reaction with CO results in the intramolecular oxidation of the nitrosyl group to coordinated nitrate accompanied by the incorporation of two moles of CO, i.e. RuX(NO3)(CO)2(PPh3)2 is formed. The dioxygen complexes catalytically oxidise triphenylphosphine or triphenylarsine to the respective oxides and RuX(NO)(PPh3)2 can be isolated from this cycle. Reactions of these four-coordinated complexes with O2, CO, Cl2 and NOBF4 are recorded. The dinitrosyl complex Ru(NO)2(PPh3)2 is reported from a number of syntheses, the most successful being via a ligand reaction when RuCl2(CO)2(PPh3)2 is heated with NaNO2 and Ph3P in dimethyl formamide. The P-tolyldiphenylphosphine analogue is also reported and the mono-substituted product Ru(NO)2(PPh3)[P(OPh)3] is produced in an exchange reaction between Ru(NO)2(PPh3)2 and excess triphenylphosphite. This phosphite complex reacts with Ph3P and O2 to produce Ru(O2)(NO2)(NO)PPh3)2 by an atom transfer process. Ru(NO)2(PPh3)2 reacts with the acids HY (Y = BF4, PF6, ClO4) and O2 to give the dinitrosyl cations [Ru(OH)(NO)2(PPh3)2]+Y- in which the two nitrosyl groups are structurally and electronically inequivalent. [RuCl(NO)2(PPh3)2]BF4 is reported and reactions of these dinitrosyl cations with halide ions to give RuX2(NO3)(NO)(PPh3)2, with intramolecular oxidation of the NO group, are also described. OsCl2(OH)(NO)(PPh3)2 reacts irreversibly with alcohols to form OsCl2(OR)(NO)(PPh3)2 (R = CH3, C2H5, n-C3H7, (CH3O)CH2CH2) which readily undergo hydride abstraction to form OsHCl2(NO)(PPh3)2. Sodium borohydride converts this complex to the trihydrido species OsH3(NO)(PPh3)2 and if the reaction is performed in the presence of Ph3P, OsH(NO)(PPh3)3 results. The coordinated perchlorate complex OsHCl(OClO3)(NO)(PPh3)2 results form the reaction of OsHCl2(NO)(PPh3)2 with silver perchlorate; this is readily reversed by chloride ions or the solvents CH2Cl2 and CHCl3. This perchlorato complex also arises from the reaction of OsH(CO)(NO)(PPh3)2 with HClO4 and a related tetrafluoroborato complex, OsH(OC2H5)(FBF3)(NO)(PPh3)2 by substituting HBF4. This complex reacts with Ph3P to give [OsH(OH)(NO)(PPh3)3]BF4, CO to give [Os(CO)2(NO)(PPh3)2]BF4 and LiX (X = Br, I) to give OsHX2(NO)(PPh3)2. OsHCl(OClO3)(NO)(PPh3)2 reacts with NaOH in methanol, in the presence of O2 to produce Os(O2)Cl(NO)(PPh3)2. This dioxygen complex is far less stable than the ruthenium analogue but it undergoes similar reactions. Ph3P is oxidised, SO2 and CO give sulphato and a nitratodicarbonyl complex respectively. Infra-red, 1H n.m.r., conductivity, molecular weight data and elemental analysis have been used in formulation and structural assignment.

Unrestricted Kohn-Sham (broken symmetry) density functional calculations have been used to determine the low-energy geometries of the chromium dihalide molecules (CrX2) and their clusters, Cr2X4, Cr3X6, and Cr4X8. The monomers are also investigated at a higher level, including coupled-cluster and state-average CASSCF computations. Our calculations show that the monomers have a 5B2 ground state arising from the Renner-Teller distorted 5IIg transition state, leading to a bent geometry. The global minima of the gas-phase clusters of CrF2 and CrCl2 consist of two-dimensional, anti-ferromagnetically coupled chains of CrX2 units forming four-membered, doubly bridged Cr2X2 rings, closely resembling their solid-state structures. The global minima of the CrBr2 and CrI2 clusters consist of the same two-dimensional chain-like structures for their dimers, but their trimers and tetramers consist of three-dimensional ’triangular’ structures which contain two capping ligands bound to three chromium atoms along with a Cr-Cr bond. Each Cr atom within these clusters has spin quantum number S=2. There is approximately a constant change in energy, between 45-55 kcal/mol, with every new CrX2 unit during cluster formation. Information about the structure of the CrCl2 clusters is used in the reanalysis of high-temperature electron diffraction data. The vapor at 1170 K contains about 77% monomeric molecules, 19% dimers, and a small amount of trimers. Monomeric CrCl2 is found to be bent with a bond angle of 149(10)degrees, in good agreement with our computations. Solid-state DFT calculations are performed on alpha-CrCl2 to determine the lattice structure and spin-coupling constants for the Cr atoms within the crystals. The GGA (PW91) method produces a structure in good agreement with the literature. In the lowest energy structure, the spins of the Cr atoms within the chains along the crystallographic c-axis are anti-ferromagnetically coupled with four parallel spins situated almost exclusively in the d-bands of Cr along these chains. This anti-ferromagnetic coupling is also seen in the CrX2 clusters.

Unrestricted Kohn-Sham (broken symmetry) density functional calculations have been used to determine the low-energy geometries of the chromium dihalide molecules (CrX2) and their clusters, Cr2X4, Cr3X6, and Cr4X8. The monomers are also investigated at a higher level, including coupled-cluster and state-average CASSCF computations. Our calculations show that the monomers have a 5B2 ground state arising from the Renner-Teller distorted 5IIg transition state, leading to a bent geometry. The global minima of the gas-phase clusters of CrF2 and CrCl2 consist of two-dimensional, anti-ferromagnetically coupled chains of CrX2 units forming four-membered, doubly bridged Cr2X2 rings, closely resembling their solid-state structures. The global minima of the CrBr2 and CrI2 clusters consist of the same two-dimensional chain-like structures for their dimers, but their trimers and tetramers consist of three-dimensional ’triangular’ structures which contain two capping ligands bound to three chromium atoms along with a Cr-Cr bond. Each Cr atom within these clusters has spin quantum number S=2. There is approximately a constant change in energy, between 45-55 kcal/mol, with every new CrX2 unit during cluster formation. Information about the structure of the CrCl2 clusters is used in the reanalysis of high-temperature electron diffraction data. The vapor at 1170 K contains about 77% monomeric molecules, 19% dimers, and a small amount of trimers. Monomeric CrCl2 is found to be bent with a bond angle of 149(10)degrees, in good agreement with our computations. Solid-state DFT calculations are performed on alpha-CrCl2 to determine the lattice structure and spin-coupling constants for the Cr atoms within the crystals. The GGA (PW91) method produces a structure in good agreement with the literature. In the lowest energy structure, the spins of the Cr atoms within the chains along the crystallographic c-axis are anti-ferromagnetically coupled with four parallel spins situated almost exclusively in the d-bands of Cr along these chains. This anti-ferromagnetic coupling is also seen in the CrX2 clusters.

This study concerns the synthesis, structure and reactivity of nitrosyl complexes of ruthenium and osmium. Attempts have been made to prepare coordinatively saturated and unsaturated complexes and a study of their oxidative addition reactions bears considerable resemblance to the more familiar carbonyl complexes M(CO)3(PPh3)2. A number of interesting atom transfer reactions, generally involving oxygen, have been observed. The d8 complex RuCl(CO)(NO)(PPh3)2 results from the interaction of RuHCl(CO)(PPh3)3 with N-methyl-N-nitrosotoluene-p-sulphonamide. The labile halide ligand is readily displaced by a large range of anions and it is believed that both linear and bent nitrosyl linkages may exist for different members of this series. The structures of these complexes are discussed in the light of recent X-ray crystal structure data. Halogens and hydrogen halides add to give the familiar RuX3(NO)(PPh3)2; RuCl3(NO)(PPh2Me)2 is prepared in a direct reaction and also by phosphine exchange and 1H n.m.r. data confirm that the phosphine ligands are trans. The complexes RuX(CO)(NO)(PPh3)2 react readily with O2 to form the dioxygen complexes Ru(O2)X(NO)(PPh3)2. Halogens and hydrogen halides produce RuX3(NO)(PPh3)2. The dioxygen complexes react with SO2 and N2O4 to give sulphato and dinitrato complexes respectively. The reaction with CO results in the intramolecular oxidation of the nitrosyl group to coordinated nitrate accompanied by the incorporation of two moles of CO, i.e. RuX(NO3)(CO)2(PPh3)2 is formed. The dioxygen complexes catalytically oxidise triphenylphosphine or triphenylarsine to the respective oxides and RuX(NO)(PPh3)2 can be isolated from this cycle. Reactions of these four-coordinated complexes with O2, CO, Cl2 and NOBF4 are recorded. The dinitrosyl complex Ru(NO)2(PPh3)2 is reported from a number of syntheses, the most successful being via a ligand reaction when RuCl2(CO)2(PPh3)2 is heated with NaNO2 and Ph3P in dimethyl formamide. The P-tolyldiphenylphosphine analogue is also reported and the mono-substituted product Ru(NO)2(PPh3)[P(OPh)3] is produced in an exchange reaction between Ru(NO)2(PPh3)2 and excess triphenylphosphite. This phosphite complex reacts with Ph3P and O2 to produce Ru(O2)(NO2)(NO)PPh3)2 by an atom transfer process. Ru(NO)2(PPh3)2 reacts with the acids HY (Y = BF4, PF6, ClO4) and O2 to give the dinitrosyl cations [Ru(OH)(NO)2(PPh3)2]+Y- in which the two nitrosyl groups are structurally and electronically inequivalent. [RuCl(NO)2(PPh3)2]BF4 is reported and reactions of these dinitrosyl cations with halide ions to give RuX2(NO3)(NO)(PPh3)2, with intramolecular oxidation of the NO group, are also described. OsCl2(OH)(NO)(PPh3)2 reacts irreversibly with alcohols to form OsCl2(OR)(NO)(PPh3)2 (R = CH3, C2H5, n-C3H7, (CH3O)CH2CH2) which readily undergo hydride abstraction to form OsHCl2(NO)(PPh3)2. Sodium borohydride converts this complex to the trihydrido species OsH3(NO)(PPh3)2 and if the reaction is performed in the presence of Ph3P, OsH(NO)(PPh3)3 results. The coordinated perchlorate complex OsHCl(OClO3)(NO)(PPh3)2 results form the reaction of OsHCl2(NO)(PPh3)2 with silver perchlorate; this is readily reversed by chloride ions or the solvents CH2Cl2 and CHCl3. This perchlorato complex also arises from the reaction of OsH(CO)(NO)(PPh3)2 with HClO4 and a related tetrafluoroborato complex, OsH(OC2H5)(FBF3)(NO)(PPh3)2 by substituting HBF4. This complex reacts with Ph3P to give [OsH(OH)(NO)(PPh3)3]BF4, CO to give [Os(CO)2(NO)(PPh3)2]BF4 and LiX (X = Br, I) to give OsHX2(NO)(PPh3)2. OsHCl(OClO3)(NO)(PPh3)2 reacts with NaOH in methanol, in the presence of O2 to produce Os(O2)Cl(NO)(PPh3)2. This dioxygen complex is far less stable than the ruthenium analogue but it undergoes similar reactions. Ph3P is oxidised, SO2 and CO give sulphato and a nitratodicarbonyl complex respectively. Infra-red, 1H n.m.r., conductivity, molecular weight data and elemental analysis have been used in formulation and structural assignment.

Data is presented for a range of experiments that have been performed using a selected ion flow tube (SIFT) instrument operated at room temperature (~ 298K) with carrier gas pressures typically in the range of 0.3 – 0.6 Torr. The majority of the experiments discussed are performed on a Voice100 instrument that has not been described in detail previously. The Voice100 is a novel instrument that has been designed particularly for quantitative trace gas analysis using the SIFT-MS technique. A mixture of helium and argon carrier gases are employed in the Voice100 flow tube. By mixing carrier gases, the flow dynamics and diffusion characteristics of a flow tube are altered when compared to classic single carrier gas models. Therefore firstly, optimal flow conditions for the operation of a Voice100 are characterised. The diffusion of an ion in a mixture of carrier gases is then characterised using theoretical models and experimental techniques. This research requires that a new parameter Mp be defined regarding the mass discrimination of an ion in the non-field-free region near the downstream ion sampling orifice. Furthermore, a new method is described for the simultaneous measurement of rate coefficients for the reactions of H₃O⁺.(H₂O)n (n = 1, 2, 3) ions with analytes. Rate coefficients and branching ratios for the reactions of SIFT-MS precursor ions with specific analytes related to four individual applications are presented. For each application, the kinetic parameters are determined so as to facilitate the quantitative detection of the analytes relevant to that application. The GeoVOC application involves the measurement of hydrocarbon concentrations in the headspace of soil and water across a range of humidities. Alkyl esters are investigated to allow for the quantitative detection of each compound in fruits and vegetables. Chemical warfare agents, their surrogates and precursor compounds are studied which allows for the quantitative or semi-quantitative detection of a range of highly toxic compounds. Finally, 17 compounds classified by the US-EPA as hazardous air pollutants are studied that enables SIFT-MS instruments to replicate sections of the TO-14A and TO-15 methods.