Ab initio valence bond calculations and the spin-paired diradical character of S 4 2+

The results of some ab initio valence bond calculations, with STO-6G basis sets for the s and p orbitals, are reported for the ground state of cyclic S ₄ ²⁺ . The sum of the weights for two long-bond (or spin-paired diradical) structures is approximately 50% of the total.     

Ab initio calculations of the electronic structure of helical polymers

An ab initio self-consistent-field (SCF ) algorithm taking into account all the features of the one-dimensional translational periodicity and the helical symmetry is presented. This algorithm includes the long-range correction to the Coulomb potential and is designed to calculate the band structure of periodic one-dimensional polymers (planar or helical). Its efficiency in terms of computing time and numerical accuracy is tested via applications on a (LiH)_n chain, polyethylene, and four conformers of polypropylene.     

Ab initio calculations on the electronic structure of the divalent lead-water complex

We studied the electronic structure of the Pb (2+)-4H 2O system. Analysis of the complex orbital evidenced no mixing between the 6s lone pair orbital of the lead and the 6p orbital components. Moreover, we found that the HOMO is widely described by the mixture of the 6p components with the 7s valence orbital of the lead. This orbital shows an important elliptical electron charge density around the lead ion and opposite the direction of the short lead-water bonds. From these results, we demonstrated that the hemidirected conformation of the Pb (2+)-4H 2O system could be easily explained by the shape of the electron charge density distribution of the HOMO rather than by the stereochemically active character of the 6s (2) lone pair of lead electrons.     

Ab initio calculations on low-lying electronic states of PdH

Potential energy curves for the low-lying electronic states of PdH have been calculated using the MRCI method with scalar relativistic and spin-orbit corrections, and all electronic states correlating to the 4d¹⁰ (¹S), 4d⁹ 5s¹ (³D), 4d⁹ 5s¹ (¹D) and 4d⁸ 5s² (³F) states of Pd were included. Potential energy curves for the individual Ω states have been obtained, and the experimentally observed spectra of both PdH and PdD isotopologues have been assigned appropriately based on the ab initio results. Einstein A coefficients were calculated for other possible transitions from the low-lying electronic states to the X²Σ⁺ ground state. Diagonal and off-diagonal matrix elements of the spin-orbit Hamiltonian were calculated for all vibrational levels of the X²Σ⁺, 1²Δ, 1²Π, 2²Σ⁺ and 3²Σ⁺ states, and it was found from the eigenvectors that the vibrational wavefunctions of the 1²Δ_3/2 and 1²Π_3/2 states are mixed significantly in both PdH and PdD isotopologues.     

Ab initio calculations on the molecular structure of fluorocyanopolyynes

The molecular structure of the first three members of the fluorocyanopolyynes was studied by ab initio Hartree-Fock calculations with a polarized double zeta basis set and at MP2 level with the same basis set. Alternating triple and single bonds were found; a theoretical estimate of rotational constants and dipole moments was performed and a comparison with the available experimental data was made. An analysis of the theoretical vibrational frequencies of the title compounds was carried out.     

Ab initio calculations on the structure of the cyclopropenyl anion

Calculations at the SCF level and with inclusion of correlation were carried out on a portion of the potential ¹A′ state of the cyclopropenyl anion which was found to be nonplanar in its most stable geometry.     

Ab initio calculations of surface electronic states in indium oxide

A slab approach in the framework of ab initio calculations was applied to study surface electronic states in In₂O₃ crystal. Density functional theory (DFT) calculations were carried out employing the WIEN 2k code and using the full potential method with Augmented Plane Waves + local orbitals (APW+lo) formalism. Total and partial DOS (Density of States) were calculated for In and O atoms in two upper (110) surface layers. Comparison of total and partial DOS allowed determining a contribution of electronic states of different In and O surface atoms into formation of surface electronic spectra and corresponding chemical bonds. A dominant ionic character of chemical bonds in In₂O₃ is found. Calculations were performed for three slab models with different geometry parameters. It was shown that an optimal ratio between the whole vertical size of a supercell and the vertical size of atomic cluster has to be chosen. The size of vacuum region in the slab model influences significantly on the reliability of calculated characteristics of the surface electronic structure. © 2010 Wiley Periodicals, Inc. Int J Quantum Chem, 2011     

The implementation of ab initio quantum chemistry calculations on transputers

Summary The RHF and geometry optimization sections of the ab initio quantum chemistry code, GAMESS, have been optimized for a network of parallel microprocessors, Inmos T800-20 transputers, using both indirect and direct SCF techniques. The results indicate great scope for implementation of such codes on small parallel computer systems, very high efficiencies having been achieved, particularly in the cases of direct SCF and geometry optimization with large basis sets.The work, although performed upon one particular parallel system, the Meiko Computing Surface, is applicable to a wide range of parallel systems with both shared and distributed memory.     

宝塔烷电子结构与张力的ab initio研究

利用MNDO程序优化出宝塔烷、宝塔烷双正离子及宝塔二烯的构型参数。从头算的电荷分布及分子轨道均表明: 宝塔烷与其价键异构体宝塔二烯性质相近。双正离子的中间四个碳原子则形成了一种与环丁烷双正离子类似的四中心双电子大π键。张力研究表明, 宝塔烷的键张力要比不能稳定存在的小螺桨烷小得多, 说明了宝塔烷骨架的刚性及稳定性。     

Ab initio calculations on the structure of monomeric and dimeric formic acid

Experiments show changes in the carbon-oxygen bond lengths when a carboxylic acid dimerizes. To see how these changes are depicted in the electronic structure, a series of ab initio calculations have been made on monomeric and dimeric formic acid. Both systems have been examined through energy optimalization and through a Mulliken population analysis.The experimental changes can be qualitatively explained by the calculations, however, the quantitative agreement is not as good as desired.The calculations on monomeric formic acid give valuable information on the possibility of separately computing the different structural parameters.     

Ab initio calculations of the lowest electronic states in the CuNO system

The lowest singlet and triplet electronic levels of the A' and A" symmetry species of the neutral copper-nitrosyl (CuNO) system are calculated by ab initio methods at the multi-reference configuration interaction (MRCI) level of theory with single and double excitations, and at the coupled cluster level of theory with both perturbational (CCSD(T)) and full inclusion of triple excitations (CCSDT). Experimental data are difficult to obtain, hence the importance of carrying out calculations as accurate as possible to address the structure and dynamics of this system. This paper aims at validating a theoretical protocol to develop global potential energy surfaces for transition metal nitrosyl complexes. For the MRCI calculations, the comparison of level energies at linear structures and their values from C(2v) and C(s) symmetry restricted calculations has allowed to obtain clear settings regarding atomic basis sizes, active orbital spaces and roots obtained at the multi-configurational self-consistent field (MCSCF) level of theory. It is shown that a complete active space involving 18 valence electrons, 11 molecular orbitals and the prior determination of 12 roots in the MCSCF calculation is needed for overall qualitatively correct results from the MRCI calculations. Atomic basis sets of the valence triple-zeta type are sufficient. The present calculations yield a bound singlet A' ground state for CuNO. The CCSD(T) calculations give a quantitatively more reliable account of electronic correlation close to equilibrium, while the MRCI energies allow to ensure the qualitative assessment needed for global potential energy surfaces. Relativistic coupled cluster calculations using the Douglas-Kroll-Hess Hamiltonian yield a dissociation energy of CuNO into Cu and NO to be (59 ± 5) kJ mol(-1) ((4940 ± 400) hc?cm(-1)). Favorable comparison is made with some of previous theoretical results and a few known experimental data.     

Variational spaces of electronic calculations in quantum chemistry

The exterior algebra formalism is presented, then used to obtain, in a very simple way, Brillouin's theorem, and to derive the general algebraic equations of the various variational spaces explored by RHF, ROHF, UHF, CASSCF, UCASSCF, CI methods. When a given basis set of one-electron orbitals (not necessarily orthogonal) is fixed, these equations lead to analytical equations for the CI coefficients only. The important algebraic concepts (i.e. concepts that do not refer to any particular basis set) of internal space, length and factorization of a multi-configuration are also introduced.     

Ab initio study of the electronic structure of manganese carbide

We report electronic structure calculations on 13 states of the experimentally unknown manganese carbide (MnC) using standard multireference configuration interaction (MRCI) methods coupled with high quality basis sets. For all states considered we have constructed full potential energy curves and calculated zero point energies. The X state, correlating to ground state atoms, is of 4sigma- symmetry featuring three bonds, with a recommended dissociation energy of D0 = 70.0 kcal/mol and r(e) = 1.640 angstroms. The first and second excited states, which also correlate to ground state atoms, are of 6sigma- and 8sigma- symmetry, respectively, and lie 17.7 and 28.2 kcal/mol above the X state at the MRCI level of theory.     

Ab initio calculations on CICN and ONCI

Ab initio calculations are presented for the molecules CICN and ONCI with optimization of all geometric parameters. Calculated equilibrium geometries for CICN are in good agreement with microwave data; however, the calculated N-Cl distance in ONCI is about 0.1 Å shorter than obtained by electron diffraction. Orbital energies are calculated by means of Koopmans' theorem and also by ΔSCF calculations. The importance of relaxation energy is shown by comparing the calculated orbital energies with experimental data from photoelectron spectra of the valence levels.     

Ab initio quantum chemistry on the Cray T3E massively parallel supercomputer: II

Gaussian-94 is the series of electronic structure programs. It is an integrated system to model a broad range of molecular systems under a variety of conditions, performing its calculations from the basic laws of quantum chemistry. This new version includes methods and algorithms for scalable massively parallel systems such as the Cray T3E supercomputer. In this study, we discuss the performance of Gaussian using large number of processors. In particular, we analyze the scalability of methods such as Hartree–Fock and density functional theory (DFT), including first and second derivatives. In addition, we explore scalability for CIS, MP2, and MCSCF calculations. Scalability and speedups were investigated for most of the examples with up to 64 process elements. A single-point energy calculation (B3-LYP/6-311++G3df,3p) was tested with up to 512 process elements. © 1998 John Wiley & Sons, Inc. J Comput Chem 19: 1053–1063, 1998     

Ab initio Calculations for the electronic structure of carbazole and trinitrofluorenone

The results of the SCF-LCAO-MO calculations for the electronic structure of carbazole and trinitrofluorenone are reported. Comparison is made with previous computations and with experimental data. A qualitative calculation tends to explain satisfactorily the first electro-absorption peak in amorphous films of polyvinylcarbazole and trinitrofluorenone on the basis of a complete charge transfer model. The singlet-triplet splitting predicted for carbazole also compares favorably with the experimental results.     

Ab initio calculations of the electronic states of AsH2 including dissociation characteristics

Multireference configuration interaction calculations have been carried out for low-lying electronic states of AsH(2). Bending potentials for the ten lowest states of AsH(2) are obtained in C(2v) symmetry for As-H distances fixed at the the ground state equilibrium value of 2.845 a(0), as well as for the minimum energy path constrained to R(1) = R(2). The calculated equilibrium geometries for the X?(2)B(1) ground state and the A?(2)A(1) excited state agree very well with the previous experimental and theoretical results, whereas the data for the higher-lying states are obtained for the first time. Asymmetric potential energy surface (PES) cuts (at R(1) = 2.845 a(0), θ = 90.7°) and two-dimensional (2D) PESs for the lowest three states are also new. The calculated ab initio data are used for analysis of possible AsH(2) photodissociation channels and predissociation effects. It is shown that the A?(2)A(1)-X?(2)B(1) transition dipole moment decreases with increasing bending angle, which influences the intensity distribution in the A?(0,0,0)→X? emission spectrum (v(2)' bending series), shifting its maximum to smaller v(2)' quantum numbers.