Numerical study on formation of electronic quantum states due to self-coherency in a non-periodic system

In order to investigate formation process of electronic quantum states in a confined system, we simulate motion of a wavepacket state and show how an eigenstate is formed due to coherence of electronic wave from the viewpoint that an eigenstate arises as a result of self-interference of a moving electron. Numerical results for a Hénon–Heiles potential in which chaotic motion can occur in the classical mechanics indicate that electronic eigenstates can arise even when motion of an electron is non-periodic. The results show that, in the quantum mechanics, periodicity is unnecessary for the formation of eigenstates.     

155Gd Mössbauer Isomer Shifts and Quadrupole Coupling Constants of Gadolinium Complexes

Hyperfine Interactions - We have examined the 155Gd Mössbauer spectra at 12 K for 25 complexes having different coordination numbers and different ratios of coordinating oxygen to nitrogen...     

Combustion model of tetra-ol glycidyl azide polymer

Tetra-ol glycidyl azide polymer (GAP) is one of the best candidates for the solid fuel of gas hybrid rocket system because of self-combustibility, better mechanical property and high heat of formation, and comprehensive understanding of combustion phenomena is indispensable for such an application. Combustion model of GAP, which is one-dimensional three-phase mode combustion model, was developed by Beckstead et al. and they applied it to tri-ol GAP successfully. We have applied this model to tetra-ol GAP as an initial attempt, and numerical simulation showed that maximum temperatures in the gas phase exceeded those of experimental results significantly, and calculated burning rates were much higher than strand burner data, thus, modification of the model taking account of combustion incompleteness was found to be necessary. Combustion residues of GAP were investigated, and those were found to be composed of soot (black color), and high viscosity residue (HVR), and yellow powder which was only observed at high pressures. These residues were analyzed by means of SEM and FTIR, and mass balance was also measured. Modifications of combustion model were made taking the residue analysis results into account as Blow Off Mechanism. Simulated final temperature in the gas phase and burning rate are lowered effectively and coincide well with experimental data adjusting kinetic parameters.     

Preparation of self-assembled fluorinated molecular aggregates, fluorescein nanocomposites: an extremely enhanced light absorption in nanocomposites

Self-assembled fluorinated molecular aggregates formed by fluoroalkyl end-capped N-(1,1-dimethyl-3-oxobutyl)acrylamide oligomers, N,N-dimethylacrylamide oligomers, and acrylic acid oligomers in methanol could selectively recognize fluoresceins as guest molecules to form a new class of fluorinated aggregates-fluorescein nanocomposites. These fluorinated fluorescein nanocomposites that are obtained exhibit an extraordinarily enhanced light absorption (_max ca. 440 nm) compared to that (_maxs 452, 480 nm) of the parent fluorescein in the absence of fluorinated aggregates.     

The Singular Homology of the Hawaiian Earring

The singular homology groups of compact CW-complexes are finitelygenerated, but the groups of compact metric spaces in generalare very easy to generate infinitely and our understanding ofthese groups is far from complete even for the following compactsubset of the plane, called the Hawaiian earring: Griffiths [11] gave a presentation of the fundamental groupof H and the proof was completed by Morgan and Morrison [15].The same group is presented as the free -product of integers Z in [4, Appendix]. Hence the firstintegral singular homology group H₁(H) is the abelianizationof the group . These results have been generalized to non-metrizable counterparts H_I of H(see Section 3). In Section 2 we prove that H₁(X) is torsion-free and H_i(X) =0 for each one-dimensional normal space X and for each i 2.The result for i 2 is a slight generalization of [2, Theorem5]. In Section 3 we provide an explicit presentation of H₁(H)and also H₁(H_I) by using results of [4]. Throughout this paper, a continuum means a compact connectedmetric space and all maps are assumed to be continuous. Allhomology groups have the integers Z as the coefficients. Thebouquet with n circles is denoted by B_n. The base point (0, 0) of B_n is denoted by o forsimplicity.     

Xylene-stream method for obtaining thin polyethylene specimens for electron microscopy

A new technique is described for obtaining thin specimens from melt-crystallized polyethylene surface for studying the lamellar structure with the electron microscope. The specimen was first backed with carbon–gelatin backing and then the polyethylene side was exposed to a temperature-controlled xylene stream. After dissolving most of the specimen, a very thin layer of polyethylene which shows certain aspects of the original lamellar structure was obtained. Stereoscopic micrographs revealed the structure of polyethylene consisting of curved layers, concave, convex and other forms. These curved layers were identified by analysis of the Bragg fringes to be the crystalline lamellae. A special pattern resembling a spider in shape caused by a spherical crystal was investigated.     

Highly sensitive spectrophotometric determination of micro amounts of iron with chromai blue G and cetyltrimethylammonium chloride

Summary A ternary complex between iron(III), Chromal Blue G (C. I. 43835) and cetyltrimethylammonium chloride is proposed for the determination of iron (III). The stoichiometric ratio of iron (III) to Chromai Blue G is 13. Beer's law is obeyed from 0.04 to 0.4 ppm of iron; the molar absorptivity is 1.43×10⁵ l·mole^–1·cm^–1. The proposed method has been applied to the determination of iron in a magnesium alloy.

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Hochempfindliche spektrophotometrische Bestimmung von Mikromengen Eisen mit Chromctlblau G und Cetyltrimethylammoniumcblorid

Zusammenfassung Zur Bestimmung von Eisen(III) wird ein ternärer Komplex aus Eisen(III), Chromai Blue G (Farbindex 43835) und Cetyltrimethylammoniumchlorid vorgeschlagen. Das stöchiometrische Verhältnis Eisen(III): Chromal Blue G ist 13. Das Beersche Gesetz gilt von 0,04 bis 0,4 ppm Fe; der Extinktionskoeffizient ist 1,43×10⁵ l·mole^–1·cm^–1. Die vorgeschlagene Methode dient für die Bestimmung von Eisen in Magnesiumlegierungen.

     

Structure of kukoamine A,a hypotensive principle of Lycium chinense root barks1

From the crude drug “jikoppi”, the root barks of Lycium chinense, a novel spermine alkaloid, kukoamine A, showing hypotensive activity has been isolated and the structure has been determined as that represented by formula I on the basis of chemical and physical evidence.     

Alkane oxidation via photochemical excitation of a self-assembled molecular cage

The photoexcitation of a self-assembled M6L4-type coordination cage accommodating photochemically inert alkane guests (e.g., adamantane and cyclooctane) led to the regioselective oxidation of the guest within the cage. Under anaerobic conditions, the guest oxidation was accompanied by the stable radical formation as indicated by ESR spectrometry (g = 2.002) and change in solution color (from colorless to blue). These phenomena were shown to be characteristic of the self-assembled molecular systems: i.e., from the M6L4 supersetGn assembly, none of the components (M, L, or G) can be eliminated for the unusual oxidation and/or radical formation.