Molecular valence calculations on cyclohexasulfur,cycloheptasulfur, and cyclooctasulfur

A theoretical study of homocyclic sulfur species S₆, S₇, and S₈ was carried out using a molecular valence method involving stepwise approximations for orthogonality and core-valence interactions. The valence shell orbitals are described at the minimal basis level. The geometries of the molecules are predicted well as compared with other theoretical studies and the experimental values. The slight overestimation of the SS bond length is typical to the nonpolarized basis sets. The energies of the valence orbitals are well in accord with the conventional all-electron ab initio results. The trend in the stabilities of the three molecules is discussed. The present method provides an attractive possibility to study homocyclic and heterocyclic systems involving heavier chalcogens with no increase of the computing time.     

Calculation of vertical excitation energies of closed-shell molecules in the CNDO and INDO approximations

The Green's function method for the calculation of vertical excitation energies is adapted to the CNDO and INDO approximations by introducing an effective interaction into the irreducible vertex part. The computational scheme is explicitly developed for closed-shell molecules and applied to H₂O, H₂CO, HCOOH, HCONH₂.     

Quantum sum formulae for the collision-induced spectroscopies: Molecular systems as H2-H2

Quantum expressions for the second moment of collision-induced spectra are developed in the low-density limit. Previous work by Moraldi is extended to account for the rotational structure of colliding linear molecules; isotropic interaction is assumed. Computations of the lowest three moments are presented for the case of infrared absorption and Raman scattering of molecular hydrogen pairs at temperatures from 77 to 300 K. The radial distribution functions of pairs, mean energy and angular momentum, which are required for that purpose, are obtained for the case of H₂ molecules interacting with H₂, and compared with their classical counterparts. The simple classical approximations with lowest-order Wigner-Kirkwood quantum corrections serve as an accurate representation of the quantum expressions at large separations and may be sufficient for massive systems at high temperatures.     

A theory of molecules in molecules

A theory of molecules in molecules is presented, which permits the computation of the wave function of a molecule from the wave functions of fragment molecules by transferring some of the localized molecular orbitals of the fragments and recalculating the orbitals in the region of interaction. A projection operator is used to obtain orthogonality of the orbitals to be determined to the transferred and fixed orbitals. Additional approximations allow the reduction of the dimension of the matrices to be diagonalized and the neglect of a part of the basic integrals, which can lead to a considerable saving in the computation time. The justification of these approximations will be investigated for the case of the molecules Be-Be, Li₂-Li₂, and for the calculation of the rotational barrier in C₂H₆.     

The multiconfigurational spin tensor electron propagator method (MCSTEP): Comparison with extended Koopmans' theorem results

Summary We applied the multiconfigurational spin tensor electron propagator method (MCSTEP) for determining the lowest few (in energy) vertical ionization potentials (IPs) of HF, H₂O, NH₃, CH₄, N₂, CO, HNC, HCN, C₂H₂, H₂CO, and B₂H₆. We chose these molecules so that we could compare MCSTEP IPs with recently reported extended Koopmans' theorem (EKT) IPs on the same molecules. Using standard Dunning core-valence basis sets with relatively small complete active spaces, MCSTEP results are in very good to excellent agreement with experiment. These MCSTEP IPs are obtained using matrices no larger than 400 × 400. EKT matrices are even smaller; however, to obtain similar but generally slightly worse agreement with experiment, fairly large active spaces are required with EKT.     

Local polarizabilities in molecules,based on ab initio Hartree-Fock calculations

A method to separate the total molecular polarizability, calculated in the uncoupled Hartree-Fock approximations, into local contributions is proposed. The method is tested for H₂, H₂O, H₂CO and C₆H₆ and the results are discussed. It is found that the ratio of the polarizability contributions for two atoms in a molecule almost only depends on the type of atoms and is almost independant of molecule.     

A modified PCILO method

The perturbative configuration interaction using strictly localized molecular orbitals, called the modified PCILO method, for which the use of the Rayleigh-Schrödinger many-body perturbation theory with the Moller-Plesset Hamiltonian partitioning is characteristic, has been proposed in this communication. On the CNDO/2 and INDO levels of Hamiltonian approximations strictly localized molecular orbitals have been constructed by solving modified Roothaan equations. From the zero and second order energy interatomic distances and harmonic force constants for some diatomic molecules have been calculated. The linear dependence of the correlation energy on the number of valence electrons in the series of the molecules CH₄, CH₃F, CH₂F₂, CHF₃ and CF₄ is perfect.     

Inelastic neutron scattering from matrix isolated species

Matrix isolation is an experimental method in chemistry that is widely used for the preparation of samples for spectroscopic studies. It makes it possible to stabilize species which are unstable at room temperature, to isolate molecules in solids from each other, and to carry out molecular spectroscopy at low temperatures. Matrix isolated molecules are studied by a variety of techniques. In this paper the application of inelastic neutron scattering (INS) to matrix isolation is reviewed. Molecules that contain hydrogen atoms are diluted in inert gases such as argon, krypton and nitrogen, and then condensed inside a liquid helium cryostat of the type that is in use at many neutron spectrometers. For this work we developed a technique for the vapor deposition of inert gases with dopants that have low vapor pressure. INS focuses on some aspects of matrix isolation which are not appropriately covered by other spectroscopies, mainly solid state aspects of matrix isolated molecular aggregates and of the matrix itself. Neutron scattering is used to observe optically forbidden excitations such as methyl librations, tunnelling transitions, phonons, and rotational transitions involving a nuclear spin flip. Moreover, a direct correlation of spectroscopic data with the powder diffraction pattern of the matrix is possible with this technique. Localized modes and phonon densities of states can be observed in the same sample and may then be related to the respective diffraction pattern. The vapor deposited samples can be characterized in this way, and possible structural faults in rare-gas lattices revealed which are not usually recognized by other techniques. The structure of molecular aggregates has been elucidated by neutron spectroscopy of their low frequency internal intermolecular modes. HCN forms long linear chains, CH₃CN antiparallel dimers. Both species may, be understood as intermediates for the formation of the respective crystals. The structure of the matrix cages, in which single molecules are embedded, is explored by recording rotational and translational localized modes of these molecules. The single particle rotations of HCl, H₂O, NH₃, and CH₄ were studied directly. Tunnel splittings and librational spectra were recorded from molecules with methyl groups [CH₃CN, CH₃I, CH₃COCH₃, C₃H₈, C₄H₁₀, Sn(CH₃)₄, and others]. The mutual influence of translational modes of the guest and phonons of the host can be studied, since the neutron spectra are directly connected with the phonon density of states of the system. The librational spectrum of N₂ in Ar and a local mode of H₂ in solid D₂ are presented and compared with theoretical calculations.     

Adsorption of molecular hydrogen on inorganometallic complexes B<Subscript>2</Subscript>H<Subscript>4</Subscript>M (M=Li,Be, Sc,Ti, V)

Molecular interaction between hydrogen molecules and B₂H₄M (M=Li, Be, Sc, Ti, V) complexes has been studied using the DFT method (M06 functional) and 6-311++G** basis set. The hydrogen uptake capacity of the complexes considered is higher than the target set by the US Department of Energy (5.5 wt% by 2020). The metal atom bound strongly to the B₂H₄ substrate. Adsorption of molecular hydrogen on Be-, Ti-, and V-decorated complexes is thermodynamically possible for all the pressures and temperatures considered whereas it is unfavorable for Li-decorated complexes for all the pressure and temperatures. For the Sc-doped complexes, adsorption of molecular hydrogen is favorable below 330 K and entire pressure range considered. All the H₂ adsorbed complexes are kinetically stable. For all the complexes, the interaction between the inorganometallic complexes and the H₂ molecules adsorbed is attractive whereas that between adsorbed H₂ molecules is repulsive. We have also performed molecular dynamics simulations to confirm the same number of H₂ molecule adsorption from the simulations and DFT calculations.     

Sensitivity of charge transfer reactions to hydrocarbon ion structures

Charge transfer reactivities of hydrocarbon ions have been measured with time-of-flight techniques, and results correlated with theoretical structures computed by self-consistent field molecular orbital methods. Recombination energies, ion structures, heats of formation, reaction energetics and relative charge transfer cross-sections are presented for molecular and fragment ions produced by electron bombardment ionization of CH₄, C₂H₄, C₂H₆, C₃H₈ and C₄H₁₀ molecules. Even-electron bridged cations have low ion recombination energies and relatively low charge transfer cross-sections as compared with odd-electron hydrocarbon cations.     

一维链状配位聚合物{[Cu(H2bttc)(H2O)3]·3H2O}n的非等温反应动力学和晶体结构

为研究配位聚合物{[Cu(H₂bttc)(H₂O)₃]·3H₂O}_n(H₂bttc=1，2，4，5-benzenetetracarboxylate)的热分解机理和非等温反应动力学进行了DSC和TG-DTG热分析。由热分析结果和FTIR光谱推测了其热分解机理；将Kissinger法、Ozawa法、积分法和微分法得到的动力学参数进行比较确定了第一个失重过程最可能的动力学模型函数。配位聚合物的X射线单晶结构分析表明它由 [Cu(H₂bttc)(H₂O)₃]_n分子链组成，并有客体水分子通过分子间氢键附着在分子链上。这一结构特点与热分析结果相一致。还有一种氢键将分子链连接起来形成二维框架，这一框架在失去配位水和结晶水后到553 K开始分解。     

Core-valence correlation effects for molecules containing first-row atoms. Accurate results using effective core polarization potentials

The accuracy of employing effective core polarization potentials (CPPs) to account for the effects of core-valence correlation on the spectroscopic constants and dissociation energies of the molecules B₂, C₂, N₂, O₂, F₂, CO, CN, CH, HF, and C₂H₂ has been investigated by comparison to accurate all-electron benchmark calculations. The results obtained from the calculations employing CPPs were surprisingly accurate in every case studied, reducing the errors in the calculated valence D _e values from a maximum of nearly 2.5 kcal/mol to just 0.3 kcal/mol. The effects of enlarging the basis set and using higher-order valence electron correlation treatments were found to have only a small influence on the core-valence correlation effect predicted by the CPPs. Thus, to accurately recover the effects of intershell correlation, effective core polarization potentials such as the ones used in the present work provide an attractive alternative to carrying out computationally demanding calculations where the core electrons are explicitly included in the correlation treatment. Received: 11 May 1998 / Accepted: 27 July 1998 / Published online: 28 October 1998     

Quantum State-to-State Vacuum Ultraviolet Photodissociation Dynamics of Small Molecules

The present review focused on selected, recent experimental progress of photodissociation dynamics of small molecules covering the vacuum ultraviolet (VUV) range from 6 eV to20 eV. These advancements come about due to the available laser based VUV light sources along with the developments of advanced experimental techniques, including the velocitymap imaging (VMI), H-atom Rydberg tagging time-of-flight (HRTOF) techniques, as well as the two-color tunable VUV-VUV laser pump-probe detection method. The applications of these experimental techniques have allowed VUV photodissociation studies of many diatomic and triatomic molecules to quantum state-to-state in detail. To highlight the recent accomplishments, we have summarized the results on several important molecular species, including H₂ (D₂, HD), CO, N₂, NO, O₂, H₂O (D₂O, HOD), CO₂, and N₂O. The detailed VUV photodissociation studies of these molecules are of astrochemical and atmospheric relevance. Since molecular photodissociation initiated by VUV excitation is complex and is often governed by multiple electronic potential energy surfaces, the unraveling of the complex dissociation dynamics requires state-to-state cross section measurements. The newly constructed Dalian Coherent Light Source (DCLS), which is capable of generating coherent VUV radiation with unprecedented brightness in the range of 50-150 nm, promises to propel the photodissociation experiment to the next level.     

Accuracy and limitations of the pseudopotential method

Molecular model potential calculations have been performed within the SCF approximation on nine di- and triatomic molecules from the first row of the periodic table. We compare the molecular constants with ab initio SCF values and with model potential results obtained by other authors. Our results are accurate to a few per cent. The three most significant approximations in molecular model potential theory are: 1) The molecular model potential is the sum of atomic model potentials; 2) The atomic model potential is energy-independent; 3) The electron interaction model operator is l/r ₁₂. We arrive at the following general conclusions concerning these approximations: 1) The first approximation does not hold for strongly ionic molecules and for some highly excited molecular states. 2) Approximations 2 and 3 cancel to a large extent in molecules as they do in atoms, except in the case where approximation 1 breaks down. 3) Although various model- and pseudo-potentials yield reasonable results for atoms, not all of them are suitable for molecular calculations.     

Non-muffin-tin MS Xα total energies for H2, C2, N2 and CO

NMT (non-muffin-tin) MS Xα calculations for the ground state potential curves are reported for the molecules H₂, C₂, N₂, and CO. These calculations include corrections linear and second order in the NMT charge density and show great improvement over the MT (muffin-tin) curves. With these corrections, somewhat better agreement with experiment is also found. A comparison is made between tne Xα and the local spin density (LSD approximations for the H₂ and CO molecules.     

Surface interaction of H2O and H2S onto Ca12O12 nanocluster: Quantum‐chemical analyses

To find the selectivity of H₂S, we explicate the adsorption properties of water (H₂O) and hydrogen sulfide (H₂S) molecules on the external surfaces of free Ca₁₂O₁₂ nanocages using the density functional theory method. More specifically, binding energies, natural bond orbital charge transfer, dipole moment, molecular electrostatic potential, frontier molecular orbitals, density of states, and global indices of activities are calculated to deeply understand the impacts of the aforementioned molecules on the electronic and chemical properties of Ca₁₂O₁₂ nanocages. Our theoretical findings indicate that although H₂O seems to be adsorbed in molecular form, the H₂S molecule is fully dissociated during the adsorption process because of the weak bond between sulfur and hydrogen atoms of the molecule. Interestingly, the highest occupied molecular orbital–lowest unoccupied molecular orbital energy gap of the nanocage is decreased by 1.87 eV upon H₂S adsorption, indicating that the electrical conductivity of the nanocage is strongly increased by the dissociation process. In addition, the values of softness and electrophilicity for the H₂S‐Ca₁₂O₁₂ complex are higher than those for the free nanocage. Our results suggest that Ca₁₂O₁₂ nanoclusters show promise in the adsorption/dissociation of H₂S molecules, which can be used further for designing its selective sensor.     

Calculation of harmonic force constants,vibrational frequencies and integrated intensities of some organic molecules using the MINDO—Forces method

The harmonic force constants, vibrational frequencies and integrated intensity ratios of CH₂, H₂O, CH₂O, C₂H₂, CO₂, HCN, CH₃, CH₄, and C₂H₄ have been calculated using the MINDO—FORCES program and the Pulay method for the calculation of the molecular force constants. The results obtained are in general quite satisfactory when compared with available literature values. The results are, however, not as satisfactory in case of molecules containing heteroatoms, due to the neglect of some dipolar repulsion integrals for the heteroatoms by the MINDO/3 method. Calculated integrated intensities for CH₃ and C₂H₄ agree well with experimental results. The calculated integrated intensities for other molecules are obtained for the first time and no comparison with published data is therefore possible.Part of the M.Sc. Thesis of K. H. A. 1978.     

DFT and MO calculations of atomic and molecular chemisorption energies on surface cluster models

Summary Density functional theory (DFT) (including gradient corrections) and MCPF calculations have been performed for atomic (H, C, N, O) and molecular CH _x (x = 1–3) chemisorption on cluster models of different sites of the Cu(100) surface. The DFT and MCPF results are in good agreement once the important effects of core-valence correlation have been accounted for in the MCPF calculations by including contributions from a core polarization potential (CPP); in the DFT approach the core-valence correlation is obtained directly from the total density using the functional. Very large effects on the four-fold hollow site binding energy from core-valence correlation are found for C, N and CH. Several different DFT functionals were employed and compared in the calculations.