A divide and conquer real-space approach for all-electron molecular electrostatic potentials and interaction energies

A computational scheme to perform accurate numerical calculations of electrostatic potentials and interaction energies for molecular systems has been developed and implemented. Molecular electron and energy densities are divided into overlapping atom-centered atomic contributions and a three-dimensional molecular remainder. The steep nuclear cusps are included in the atom-centered functions making the three-dimensional remainder smooth enough to be accurately represented with a tractable amount of grid points. The one-dimensional radial functions of the atom-centered contributions as well as the three-dimensional remainder are expanded using finite element functions. The electrostatic potential is calculated by integrating the Coulomb potential for each separate density contribution, using our tensorial finite element method for the three-dimensional remainder. We also provide algorithms to compute accurate electron-electron and electron-nuclear interactions numerically using the proposed partitioning. The methods have been tested on all-electron densities of 18 reasonable large molecules containing elements up to Zn. The accuracy of the calculated Coulomb interaction energies is in the range of 10(-3) to 10(-6) E(h) when using an equidistant grid with a step length of 0.05 a(0).     

Computational studies of the corrosion‐inhibition efficiency of iron by triazole surfactants

The corrosion‐inhibition efficiency of N‐decyl‐1,2,4‐triazole, N‐undecyl‐1,2,4‐triazole, and N‐dodecyl‐1,2,4‐triazole surfactants and the corresponding protonated molecules have been studied computationally using density functional theory and second‐order Møller–Plesset calculations. Corrosion‐inhibition properties and the strength of the affinity of the iron‐surfactant molecules were estimated by using an appropriate cluster model. The iron‐surfactant complexes were constructed by attaching the triazole ring to the iron surface modeled by one and five iron atoms, respectively. Relations between molecular properties and corrosion‐inhibition efficiency were determined by using linear regression and quantitative structure–activity relationship (QSAR). The QSAR analysis yielded significant correlations between the corrosion‐inhibition activity of the studied molecules with molecular properties such as the highest occupied molecular orbital, the lowest unoccupied molecular orbital, dipole moments (μ), and the total atomic charges. Fukui indexes were also calculated for assessing correlations between them and experimental corrosion‐inhibition efficiencies. Solvent effects were investigated by using the polarized continuum model. The effects of the acidity medium and the local reactivity of the triazole derivatives with iron were also analyzed. The calculated binding energy of 276 kJ/mol for the Fe₅‐N‐dodecyl‐1,2,4‐triazole cluster shows that the surfactant molecules bind strongly to iron surfaces, which is in agreement with experimental data. © 2012 Wiley Periodicals, Inc.     

Side-Chain Liquid-Crystalline Polymers with Polystyrene Backbone

Abstract

A series of liquid-crystalline polystyrene derivatives with pendant mesogenic groups has been prepared and characterized. The side-chain is connected to the polystyrene backbone by a methyleneoxyhexyloxy spacer. The mesogenic group is a 4-alkoxy substituted biphenyl group. The length of the alkoxy end-group varied from a methoxy group to an octyloxy group. The polymers were synthesized by a radical reaction. Molar masses (M _n) varied between 17,000 and 46,000, with a molar mass distribution between 1.6 and 2.0. All the polymers were liquid-crystalline, with enantiotropic smectic phases. The polymers were characterized with polarizing microscopy, NMR spectroscopy, and calorimetry.     

Characterisation of poly(ethylene oxide) sulfonic acids

PEO sulfonic acids with M_w in the range 446–4246 have been prepared. Mechanically stable polyelectrolyte films containing high molar mass PEO and PEO sulfonic acids were prepared. The PEO sulfonic acids and the polyelectrolyte films were examined by thermal analysis, optical microscopy, Raman spectroscopy, and impedance spectroscopy. While the low molar mass PEO sulfonic acids were completely amorphous, sulfonic acids with M_w ≥ 1246 show considerable crystallinity. Experimental data indicate aggregation of the low molar mass PEO sulfonic acids through hydrogen bonds. The PEO sulfonic acids are miscible with high molar mass PEO and form free standing polyelectrolyte films. The PEO sulfonic acids with the lowest molar masses have a plasticizing effect on the high molar mass PEO. The crystallinity of the films decreased as the concentration of sulfonic acid increased. The films are stable at RH ≤ 75%, and for some mixtures protonic conductivities of 10⁻³ S cm⁻¹ at room temperature were reached.     

Aromatic pathways in mono- and bisphosphorous singly Möbius twisted [28] and [30]hexaphyrins

Magnetically induced current densities and strengths of currents passing through selected bonds have been calculated for monophosphorous [28]hexaphyrin ((PO)[28]hp) and for bisphosphorous [30]hexaphyrin ((PO)(2)[30]hp) at the density functional theory level using our gauge-including magnetically induced current (GIMIC) approach. The current-density calculations yield quantitative information about electron-delocalization pathways and aromatic properties of singly M?bius twisted hexaphyrins. The calculations confirm that (PO)[28]hp sustains a strong diatropic ring current (susceptibility) of 15 nA T(-1) and can be considered aromatic, whereas (PO)(2)[30]hp is antiaromatic as it sustains a paratropic ring current of -10 nA T(-1). Numerical integration of the current density passing through selected bonds shows that the current is generally split at the pyrroles into an outer and an inner pathway. For the pyrrole with the NH moiety pointing outwards, the diatropic ring current of (PO)[28]hp takes the outer route across the NH unit, whereas for (PO)(2)[30]hp, the paratropic ring current passes through the inner C(β)=C(β) double bond. The main diatropic ring current of (PO)[28]hp generally prefers the outer routes at the pyrroles, whereas the paratropic ring current of (PO)(2)[30]hp prefers the inner ones. In some cases, the ring current is rather equally split along the two pathways at the pyrroles. The calculated ring-current pathways do not agree with those deduced from measured (1)H NMR chemical shifts.     

预试环垂直杂散场

通过氢气击穿实验从数量级上推算了预试环(一个无铜壳的小托卡马克装置)的垂直杂散场。结果符合于按环向场绕组的过渡线和补偿回线的汁算值以及用磁探针对加热场杂散场的测量值。     

A photoelectron spectroscopic and computational study of sodium auride clusters, NanAun- (n = 1-3)

Negatively charged sodium auride clusters, NanAun- (n = 1-3), have been investigated experimentally using photoelectron spectroscopy and ab initio calculations. Well-resolved electronic transitions were observed in the photoelectron spectra of NanAun- (n = 1-3) at several photon energies. Very large band gaps were observed in the photoelectron spectra of the anion clusters, indicating that the corresponding neutral clusters are stable closed-shell species. Calculations show that the global minimum of Na2Au2- is a quasi-linear species with Cs symmetry. A planar isomer of D2h symmetry is found to be 0.137 eV higher in energy. The two lowest energy isomers of Na3Au3- consist of three-dimensional structures of Cs symmetry. The global minimum of Na3Au3- has a bent-flake structure lying 0.077 eV below a more compact structure. The global minima of the sodium auride clusters are confirmed by the good agreement between the calculated electron detachment energies of the anions and the measured photoelectron spectra. The global minima of neutral Na2Au2 and Na3Au3 are found to possess higher symmetries with a planar four-membered ring (D2h) and a six-membered ring (D3h) structure, respectively. The chemical bonding in the sodium auride clusters is found to be highly ionic with Au acting as the electron acceptor.