Spectra and Laplacian spectra of arbitrary powers of lexicographic products of graphs

Consider two graphs G and H. Let H^k[G] be the lexicographic product of H^k and G, where H^k is the lexicographic product of the graph H by itself k times. In this paper, we determine the spectrum of H^k[G]H and H^k when G and H are regular and the Laplacian spectrum of H^k[G] and H^k for G and H arbitrary. Particular emphasis is given to the least eigenvalue of the adjacency matrix in the case of lexicographic powers of regular graphs, and to the algebraic connectivity and the largest Laplacian eigenvalues in the case of lexicographic powers of arbitrary graphs. This approach allows the determination of the spectrum (in case of regular graphs) and Laplacian spectrum (for arbitrary graphs) of huge graphs. As an example, the spectrum of the lexicographic power of the Petersen graph with the googol number (that is, 10^100 ) of vertices is determined. The paper finishes with the extension of some well known spectral and combinatorial invariant properties of graphs to its lexicographic powers.

Voltage and current spectra for matrix power converters

Matrix power converters are used for transforming one alternating-current power supply to another, with different peak voltage and frequency. There are three input lines, with sinusoidally varying voltages which are 120◦ out of phase one from another, and the output is to be delivered as a similar three-phase supply. The matrix converter switches rapidly, to connect each output line in sequence to each of the input lines in an attempt to synthesize the prescribed output voltages. The switching is carried out at high frequency and it is of practical importance to know the frequency spectra of the output voltages and of the input and output currents. We determine in this paper these spectra using a new method, which has significant advantages over the prior default method (a multiple Fourier series technique), leading to a considerably more direct calculation. In particular, the determination of the input current spectrum is feasible here, whereas it would be a significantly more daunting procedure using the prior method instead.

Complexes of Lanthanide Perchlorates with N-(2-Pyrimidyl)benzamide

New complexes of lanthanide perchlorates with N-(2-pyrimidyl)benzamide (BApymH) of the general formulae [Ln(BApymH)4](ClO4)3 (where Ln = La-Yb and Y) have been synthesised and characterised by chemical analysis, molar conductivity and physical methods such as infrared and electronic spectra in the visible region. Molar conductance and infrared data point to the ionic nature of the per-chlorate groups in the complexes. IR data unequivocally proves that the coordination of the ligand to the metal ion takes place in a bidentate fashion through the oxygen of the secondary amide and nitrogen of the pyrimidine ring. From a comparison of the visible electronic spectral shapes of the Nd3+ and Ho3+ complexes with those reported in the literature, an eight coordinate geometry around the metal ion has tentatively been assigned in all the complexes.

Low temperature ferrite formation using metal oxalate hydrazinate precursor

Magnesium ferrite, MgFe2O4 has been prepared at low temperatures by the thermal decomposition of a new precursor, MgFe2(C2O4)3. 5N2H4. The ferrite has been characterized by X-ray diffraction, infrared and Mössbauer spectra.

Antipyrine complexes of rare earth perchlorates

Rare earth perchlorate-antipyrine (ap) complexes of the formula Ln (ClO4)3.6 ap have been prepared and characterised. Infrared and electronic spectra showed the co-ordination through carbonyl oxygen. Conductivity and molecular weight data indicated a co-ordination number of six for these complexes.

Normal vibrations of N,N-dimethylacetamide

Infrared and Raman spectra of N,N-dimethylacetamide (DMA) are recorded and the normal vibrational analysis of the DMA skeleton as well as the entire molecule carried out employing the Urey-Bradley and modified Urey-Bradley force fields. Vibrational frequencies are assigned on the basis of the normal coordinate calculations and are compared with those of related molecules. Infrared spectra of metal complexes are examined to substantiate the band assignments.

Normal vibrations of N,N-dimethylacetamide

Infrared and Raman spectra of N,N-dimethylacetamide (DMA) are recorded and the normal vibrational analysis of the DMA skeleton as well as the entire molecule carried out employing the Urey-Bradley and modified Urey-Bradley force fields. Vibrational frequencies are assigned on the basis of the normal coordinate calculations and are compared with those of related molecules. Infrared spectra of metal complexes are examined to substantiate the band assignments.

Citrate gel processing of the perovskite lanthanide chromites

Chemically pure and stoichiometric lanthanide chromites, LnCrO3, where Ln = La, Pr, Nd, Sm, Gd, Dy, Ho, Yb, Lu and YCrO3 have been prepared by the calcination of the corresponding lanthanide bis(citrato)chromium {Ln[Cr(C6H5O7)2·nH2O} complexes at relatively low temperatures. Formation of the chromites was confirmed by powder X-ray diffraction, infrared and electronic spectra. The citrate gel process is found to be highly economical, time-saving and appropriate for the large-scale production of these ceramic materials at low temperatures compared with other non-conventional methods.

Estudo da reação de modificação química da poliacrilonitrila com grupos 2-oxazolina

Neste trabalho a reação de modificação química da poliacrilonitrila pela incorporação de grupos 2-oxazolina foi estudada através da interação dos grupos nitrila do polímero com 2-amino-etanol catalisada por acetato de cádmio. Os copolímeros foram obtidos em diferentes condições reacionais para alcançar a reação de incorporação do heterocíclico preferencialmente à reação de ciclização dos grupos nitrila que ocorre na presença de catalisador. O grau de modificação química obtido foi relacionado às alterações nas propriedades dos polímeros modificados, que foram caracterizados por espectroscopias na região do infravermelho com transformada de Fourier, do ultravioleta-visível e de ressonância magnética nuclear de hidrogênio, e por calorimetria diferencial de varredura e termogravimetria. As condições ótimas de reação foram alcançadas a 70C após 35h. E o polímero obtido a partir destas condições foi avaliado como inibidor de corrosão para aço-carbono em solução de ácido clorídrico. Sob estas condições experimentais, uma eficiência de inibição de 63 % foi obtida

Optical gap in carbon nitride films

In this paper we study the effect of introducing nitrogen into different carbon networks. Two kinds of carbon nitride films were deposited: (a) Using a DC-magnetron sputtering system sp2 bonded carbon nitride (a-CN) films were deposited and (b) Using a combination of filtered cathodic vacuum arc and a low-pressure N2 plasma source, N was introduced into sp3 carbon networks (ta-C), leading to the formation of a more dense CN film named ta-CN. For ta-CN films we found that the optical gap initially decreases as the N content and the sp2 fraction rises, but above a certain N quantity there is a level-off of the value, and the gap then remains constant despite further increases in the fraction and clustering of the sp2 phase. However, for a-CN films the optical gap increases with the nitrogen content. These two different trends are not easily explained using the same framework as that for carbon films, in which any decrease in the band gap is associated to an increase in the sp2 fraction or its clustering. Here we discuss the conditions that lead to high optical gap in sp2-bonded carbon nitride samples, which are clearly not associated to the presence of any crystalline super-hard phase. We also compared other differences in properties observed between the two films, such as deposition rate, infrared and Raman spectra. © 2003 Elsevier Science B.V. All rights reserved.

The two-dimensional anharmonic oscillator III: the CCC bending mode of C3O2

Newly observed data on the rotational constants of carbon suboxide in excited vibrational states of the low-wavenumber bending vibration ν7 have been successfully interpreted in terms of the two-dimensional anharmonic oscillator wavefunctions associated with this vibration. By combining these results with published infrared and Raman spectra the vibrational assignment has been extended and a refined bending potential for ν7 has been derived: this has a minimum at a bending angle of about 24° at the central C atom, with an energy maximum at the linear configuration some 23 cm−1 above the minimum. From similar data on the combination and hot bands of ν7 with ν4 (1587 cm−1) and ν2 (786 cm−1) the effective ν7 bending potential has also been determined in the one-quantum excited states of ν4 and ν2. The effective ν7 potential shows significant changes from the ground vibrational state; the central hump in the ν7 potential surface is increased to about 50 cm−1 in the v4 = 1 state, and decreased to about 1 cm−1 in the v2 = 1 state. In the light of these results vibrational assignments are suggested for most of the observed bands in the infrared and Raman spectra of C3O2.

Multiwavelength Observations of EXO 0748-676. II. Emission-Line Behavior

We present optical and ultraviolet spectra, light curves, and Doppler tomograms of the low-mass X-ray binary EXO 0748-676. Using an extensive set of 15 emission-line tomograms, we show that, along with the usual emission from the stream and ``hot spot,'' there is extended nonaxisymmetric emission from the disk rim. Some of the emission and Hα and Hβ absorption features lend weight to the hypothesis that part of the stream overflows the disk rim and forms a two phase medium. The data are consistent with a 1.35 Msolar neutron star with a main-sequence companion and hence a mass ratio q~0.34.

Terahertz analysis of stratified wall plaster at buildings of cultural importance across Europe

Terahertz (THz) radiation is being developed as a tool for the analysis of cultural heritage, and due to recent advances in technology is now available commercially in systems which can be deployed for field analysis. The radiation is capable of penetrating up to one centimetre of wall plaster and is delivered in ultrafast pulses which are reflected from layers within this region. The technique is non-contact, non-invasive and non-destructive. While sub-surface radar is able to penetrate over a metre of wall plaster, producing details of internal structures, infrared and ultraviolet techniques produce information about the surface layers of wall plaster. THz radiation is able to provide information about the interim region of up to approximately one centimetre into the wall surface. Data from Chartres Cathedral, France, Riga Dome Cathedral, Latvia, and Chartreuse du Val de Bénédiction, France is presented each with different research questions. The presence of sub-surface paint layers was expected from documentary evidence, dating to the 13th Century, at Chartres Cathedral. In contrast, at the Riga Dome Cathedral surface painting had been obscured as recently as 1941 during the Russian occupation of Latvia using white lead-based paint. In the 13th Century, wall paintings at the Chapel of the Frescos, Chartreuse du Val de Benediction in Villeneuve les Avignon were constructed using sinopia under-painting on plaster covering uneven stonework.. This paper compares and contrasts the ability of THz radiation to provide information about sub-surface features in churches and Cathedrals across Europe by analysing depth based profiles gained from the reflected signal. © (2013) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE).

Caracterização de um peptídeo antimicrobiano produzido por linhagem de Bacillus amyloliquefaciens isolada de solo

Em anos recentes, surgiram numerosos casos de intoxicação alimentar envolvendo patógenos emergentes. Estes casos levaram a um aumento da preocupação com a preservação dos alimentos minimamente processados e com a segurança alimentar. Este fato está induzindo a pesquisa por inibidores para estes patógenos e fatores para prolongar a vida de prateleira de produtos alimentícios. Entre as novas alternativas na preservação está a utilização de peptídeos antimicrobianos produzidos por bactérias. No presente trabalho uma bactéria identificada como Bacillus amyloliquefaciens LBM 5006 isolada de solos de mata Atlântica de Santa Catarina foi selecionada dentre outros microrganismos e sua capacidade de produzir antimicrobianos foi avaliada. O extrato bruto da cultura do isolado LBM 5006 foi caracterizado, sendo ativo contra importantes bactérias patogênicas e deteriorantes como Listeria monocytogenes, Bacillus cereus, Erwinia carotovora, Escherichia coli, dentre outras. Houve maior produção do antimicrobiano quando a bactéria foi propagada em caldo infusão de cérebro e coração (BHI) a 37o C durante 48 h. Após concentração, a atividade antimicrobiana resistiu ao tratamento com enzimas proteolíticas. A atividade antimicrobiana foi verificada em pHs ácidos, sendo inibida em pH 9 e 10. O extrato foi purificado por meio de cromatografia de gel filtração e extração com butanol. O teste qualitativo de ninidrina, juntamente com a espectroscopia de infravermelho e ultravioleta, feitos com a substância purificada revelou que o antimicrobiano possui natureza protéica. O antimicrobiano apresentou um efeito bacteriostático contra 106 UFC/mL de Listeria monocytogenes na concentração de 25 AU/ml.

Effect of helium implantation on the properties of plasma polymer films

Polymer films, deposited from acetylene and argon plasma mixtures, were bombarded with 150 keV He+ ions, varying the fluence, Phi, from 10(18) to 10(21) ions/m(2). Molecular structure and optical gap of the samples were investigated by infrared and ultraviolet-visible spectroscopies, respectively. Two-point probe was employed to determine the electrical resistivity while hardness was measured by nanoindentation technique. It was verified modification of the molecular structure and composition of the films. There was loss of H and increment in the concentration of unsaturated carbon bonds with Phi. Optical gap and electrical resistivity decreased while hardness increased with Phi. Interpretation of these results is proposed in terms of chain crosslinking and unsaturation. (C) 2002 Elsevier B.V. B.V. All rights reserved.