Self-consistent, constrained linear-combination-of-atomic-potentials approach to quantum mechanics

Variational fitting gives a stationary linear-combination of atomic potentials (LCAP) approximation to the Kohn-Sham (KS) potential, V. That potential is central to density-functional theory because it generates all orbitals, occupied as well as virtual. Perturbation theory links two self-consistent field (SCF) calculations that differ by the perturbation. Using the same variational LCAP methods and basis sets in the two SCF calculations gives precise KS potentials for each order. Variational V perturbation theory, developed herein through second order, gives stationary potentials at each order and stationary even-order perturbed energies that precisely link the two SCF calculations. Iterative methods are unnecessary because the dimension of the matrix that must be inverted is the KS basis size, not the number of occupied times virtual orbitals of coupled-perturbed methods. With variational perturbation theory, the precision of derivatives and the fidelity of the LCAP KS potential are not related. Finite differences of SCF calculations allow the precision of analytic derivatives from double-precision code to be verified to roughly seven significant digits. For a simple functional, the fourth derivatives of the energy and the first and second derivative of the KS potentials with respect to orbital occupation are computed for a standard set of molecules and basis sets, with and without constraints on the fit to the KS potential. There is no significant difference between the constrained and unconstrained calculations.     

Classical model studies of dissociation following linear to bent triatomic photoexcitation

Using classical trajectory calculations, we show that photodissociation involving a transition from a linear ground state to a bent excited state can account for the gross structure in the rotational distributions of the CN fragment from ClCN and ICN. If one excited state dominates in the ICN spectrum, its potential energy surface must be characterized by a bending angle near but not equal to the linear configuration.     

1,2,4-Triazoles—XXXIV: Photodimerization of some 1,2,4-triazo[4,3--]quinoline and 1,2,4-triazolo[3,4-a]isoquinoline derivatives

Irradiation of 1,2,4-triazolo[4,3-a]quinoline and several Me derivatives at 300 nm afforded the cisoid-fused, head-to-tail cyclobutane dimers 7bα,7cα,14bα,14cα - tetrahydro - 1,2,3a,8,9,10a - hexaazadibenzo [c,i]dicyclopenta[a,g]biphenylenes. However, 1,2,4 - triazolo[3,4-a]isoquinolines gave analogous cisoid-fused, head-to-head dimers except for the 5-Me derivative where the head-to-tail dimer was obtained.Codimerization occurred when 1 - methyl - 1,2,4 - triazolo[4,3-a]quinoline and 5 - methyl - 1,2,4 -triazolo[3,4-a]isoquinoline were irradiated at 300 nm, affording a cisoid-fused head-to-tail cyclobutane co-dimer as the single photoproduct. However, irradiation of their 5-Me substituted derivatives at 300 nm afforded the cisoid-fused, head-to-head, cyclobutane codimer and also a minor amount of the dimer derived from 5 - methyl -1,2,4- triazolo[4,3-a] quinoline. Irradiation of equimolar quantities of 2(1H)-quinolinone and 5 - methyl - 1,2,4 -triazolo [4,3-a]quinoline at 300 nm gave the known 2(1H)-quinolinone dimer and a minor amount of a cisoid-fused co-dimer of undetermined configuration.     

Mössbauer spectroscopy of neptunyl species

Systematics of hyperfine parameters from ²³⁷Np Mössbauer resonance data of compounds with Np in a high formal charge state are discussed with respect to electronic structure properties. In neptunyl(VI) species, we find a linear correlation between the isomer shift and the strength of quadrupole interaction. Both scale linearly with the actinide-oxygen bond length, stressing the central role of this parameter. Some compounds show paramagnetic relaxation spectra which makes their analysis difficult. The hyperfine interactions are often not rotational symmetric indicating a deviation from the simple linear O-Np-O configuration. Mössbauer spectra of NpO₃·2H₂O reveal that this compound should be described as a neptunyl. A comparison of hyperfine parameter systematics indicates that the Np valence electron properties in Np(VII) species are basically similar to those in Np(VI) neptunyls.     

A Study of Synthesis, Immobilization and Catalytic Capability of Metalloporphyrin

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Speciation, luminescence, and alkaline fluorescence quenching of 4-(2-methylbutyl)aminodipicolinic acid (H2MEBADPA)

4-(2-Methylbutyl)aminodipicolinic acid (H(2)MEBADPA) has been synthesized and fully characterized in terms of aqueous phase protonation constants (pK(a)'s) and photophysical measurements. The pK(a)'s were determined by spectrophotometric titrations, utilizing a fully sealed titration system. Photophysical measurements consisted of room temperature fluorescence and frozen solution phosphorescence as well as quantum yield determinations at various pH, which showed that only fully deprotonated MEBADPA(2-) is appreciably emissive. The fluorescence of MEBADPA(2-) has been determined to be quenched by hydroxide and methoxide anions, most likely through base-catalyzed excited-state tautomerism or proton transfer. This quenching phenomenon has been quantitatively explored through steady-state and time-resolved fluorescence measurements. Utilizing the determined pK(a)s and quenching constants, the fluorescent intensity of MEBADPA(2-) has been successfully modeled as a function of pH.     

A sample-drying technique for room-temperature phosphorescence

The sample-drying procedure described improves the precision, decreases the time needed and reduces the expense of the solid-surface room-temperature phosphorescence technique. Samples are dried in a glovebg apparatus interfaced to the sample compartment of the spectrophotophosphorimeter. The samples are treated with sodium citrate to prevent moisture quenching the phosphorescence emission The relative standard deviations of measurements are reduced to less than 2% for large sets of samples. The total time required for 37 samples is only 5.5 h compared to 20 h by a conventional technique.     

Saturation Effects and the Colored Pump Noise in a Dye Laser

We investigate the statistical properties of two single-mode dye-laser models-the colored-loss-noise model and the colored-gain-noise model. Analytic expressions of the probability,the mean and the variance of the steady-state laser intensity are obtained through the unified expansion theory [Phys. Rev. A43 (1991) 700]. By comparison we find that when the cavity decay rate for the electric field is large and the pump parameter a₀ is small, the differences of the results of the two laser models are small. Otherwise, the differences are large. And the correlation time of the noise has very obvious influence on the results of the two models.     

Fluctuation exponents of the KPZ equation on a large torus

We study the one-dimensional KPZ equation on a large torus, started at equilibrium. The main results are optimal variance bounds in the super-relaxation regime and part of the relaxation regime.