Transformations of spherical beam shape coefficients in generalized Lorenz-Mie theories through rotations of coordinate systems: I. General formulation

The generalized Lorenz-Mie theory in the strict sense describes the interaction between an illuminating arbitrary shaped beam and a homogeneous sphere characterized by its diameter d and its complex refractive index m. It relies on the method of separation of variables expressed in spherical coordinates. Other generalized Lorenz-Mie theories (for other kinds of scatterers) expressed in spherical coordinates are available too. In these theories, the illuminating beam is expressed by using expansions with expansion coefficients depending on some fundamental coefficients named beam shape coefficients, more specifically spherical beam shape coefficients. In this paper we present a general formulation for the transformation of spherical beam shape coefficients through rotations of coordinate systems.     

Transformations of spherical beam shape coefficients in generalized Lorenz-Mie theories through rotations of coordinate systems. V. Localized beam models

This paper is the fifth of a series of papers devoted to the transformation of beam shape coefficients through rotations of coordinate systems. These coefficients are required to express electromagnetic fields of laser beams in expanded forms, for use in some generalized Lorenz-Mie theories, or in other light scattering approaches such as Extended Boundary Condition Method. Part I was devoted to the general formulation. Parts II, III, IV were devoted to special cases, namely axisymmetric beams, special values of Euler angles, and plane waves respectively. The present Part V is devoted to the study of localized approximation and localized beam models, and of their behavior under the rotation of coordinate systems.     

Transformations of spherical beam shape coefficients in generalized Lorenz-Mie theories through rotations of coordinate systems. IV. Plane waves

This paper is the fourth of a series devoted to the transformation of beam shape coefficients through rotations of coordinate systems. These coefficients are required to express electromagnetic fields of laser beams in expanded forms, for instance for use in some generalized Lorenz-Mie theories. The main result of Part I has been the theorem of transformation of beam shape coefficients under rotations. Part II dealt with the special case of on-axis axisymmetric beams. Part III dealt with other special cases, namely when the Euler angles specifying the rotation are given some special values. The present Part IV studies another special case, namely the one of plane waves viewed as special on-axis axisymmetric beams, and can therefore be viewed as a special case of Part II. Unexpectedly, it is found that, in general, although plane waves are fairly trivial, their expansions require using non trivial beam shape coefficients, exactly as required when dealing with arbitrary shaped beams.     

Interactions of xanthines with activated carbon: II. The adsorption equilibrium

In the present work, we have studied the adsorption of xanthine derivatives by activated carbon sorbents in aqueous solutions. The study comprised both kinetic, equilibrium and thermodynamic aspects. The kinetic results were reported in a previous paper; the equilibrium-related results are discussed here. The two types of carbon used exhibit some differences but the equilibrium isotherms obtained are all of the H-3 type in the classification of Giles. This suggests a high affinity of the sorbents for the sorbates. We also found that the overall adsorption process comprises more than one individual adsorption-desorption process of which one leads to the formation of a “monolayer” and the other to the “precipitation” of the sorbate on the sorbent surface (multilayer adsorption); the amount of sorbate adsorbed in monolayer form was seemingly greater in C-A14.     

Vibrational mode shapes in Caribbean steelpans: Part II: cello and bass

Complementing earlier studies on tenor and double second steel pans, vibrational mode shapes have been studied in cello and bass pans by two well-known pan makers. Normal modes are determined from operating deflection shapes recorded by means of electronic TV holography. Vibrational modes of the various note areas are designated by the number of radial and circumferential nodal lines. Tuners generally tune one mode an octave above the fundamental and, if possible, a third mode is tuned either a 12th or two octaves above the fundamental. Modal shapes in the skirts correspond to standing bending waves propagating around the circumference of the pan. The contributions of skirt vibrations and air cavity resonances to the observed sound spectra are small.     

Ultrasonic transducers: 3. Surface wave transducers

The many examples cited indicate the potential use of elastic surface waves in modern radar and communications signal processing. The use of surface waves reduces the physical size of most devices by factors as large as 10⁵ over their electromagnetic counterparts. An added attractive feature of elastic surface wave devices is that the fabrication techniques involved are compatible with integrated microcircuit techniques so widespread in general microwave technology.     

Self-diffusion coefficients and orientational correlation times in aqueous NaCl solutions: Complementarity with structural investigations

The dynamical properties of pure water and aqueous NaCl solutions over a wide range of salt concentrations (0-6 m) at ambient conditions are characterized by molecular dynamics (MD) simulations. MD simulations are performed with a flexible SPC water model as a solvent, while the ions are treated as charged Lennard-Jones particles. In this paper, attention has been focused on the self-diffusion coefficients (D_i) of ions and water molecules and on orientational correlation time of water molecules. It is found that the self-diffusion coefficients decrease with ion concentration. Moreover, the self diffusion coefficients of sodium and chloride at higher salt concentrations are very comparable which may be due to the formation of clusters of these ions. The deduced rotational dynamics speeds up as the salt concentration increases. Some complementarities between dynamical properties and structural ones, recently obtained, are carried out.     

Reinvestigation of Microwave Spectrum of Ethylsilane: II. Vibrationally Excited States and Internal Rotations

Microwave spectra of ethylsilane and its three deuterated species in vibrationally excited states have been measured. A least-squares analysis of the observed frequencies gave rotational constants and three of the quartic centrifugal distortion constants. The barriers to the internal rotation of both the methyl and silyl groups and the coefficients of the potential cross terms were solved from splittings of the multiplets.The averages of CH₃ and SiH₃ barriers were determined to be 2634±16 and 1992±21 cal/mol and the potential cross terms, V₁₂ and V′₁₂, were estimated to be −55 and −111 cal/mol, respectively, for the four species.     

Electrodeposition of CoWP film: V. Structural and morphological characterisations

CoWP films were electrochemically deposited on copper-coated silicon wafers from citrate electrolytes containing cobalt sulphate, sodium tungstate and sodium hypophosphite under various deposition conditions and characterisations of the films were carried out using various instrumental techniques. Composition analyses using XPS showed that the surfaces of the films contained large amounts of oxides and hydroxide of tungsten and cobalt, respectively. An AES depth-profile, however, revealed that the bulk of the films predominantly consisted of cobalt, tungsten and phosphorus. Microstructural analyses using XRD showed that, depending on the composition and/or deposition conditions, CoWP films could be amorphous, polycrystalline and crystalline with a strong preferred orientation. Amorphous films were obtained when deposited at higher applied potential and current density or the films contained high amount of phosphorus and/or tungsten, while films deposited by very low applied potential and current density were crystalline with a preferred orientation of [0 0 2] of hexagonal cobalt. SEM images showed that the films deposited from neutral or acidic baths at room temperature had typical spherical nodular structures, while the films deposited from basic solution or at elevated temperature had needle-like crystallites. The crystalline films were much rougher than the amorphous films.     

Nonlinear elasticity of composite materials Landau coefficients in dispersions of spherical and cylindrical inclusions

We investigate the elastic properties of model composites, consisting in a dispersion of nonlinear (spherical or cylindrical) inhomogeneities into a linear solid matrix. Both phases are considered isotropic. Under the simplifying hypotheses of small deformation for the material body and of small volume fraction of the embedded phase, we develop a homogenization procedure based on the Eshelby theory, aimed at describing nonlinear features. We obtain the bulk and shear moduli and Landau coefficients of the overall material in terms of the elastic behavior of the constituents and of their volume fractions. The mixing laws for the nonlinear properties describe a complex scenario where possible strong amplifications of the nonlinearities may arise in some given conditions.     

Surface diffusion model of adsorption-induced field emission flicker noise: II. Experiments

Field emission measurements of the diffusion-induced flicker noise of adsorbate covered tungsten emitters are described with special emphasis on spectral density functions and dependence of the noise-power on emission current, degree of coverage, and tip temperature. Beside potassium and barium, the investigations included also N₂, CO, and H₂ as adsorbates.     

Ionic monolayers on metals: II. neutral mixed layers and surface reconstruction

Mixed layers of ions on a metal crystal surface are important in adsorption and corrosion. We consider reconstructed periodic layers on Ni, and use a modified Born-Haber cycle to make semi-quantitative estimates of heats of adsorption. For O, S, and Se atoms in neutral mixed layers on the (100) and (111) Ni planes, our estimated heats of adsorption have the right sign and magnitude if ionic charges are large. We make the novel suggestion that negative Ni ions are important in some of the structures. Also, we propose a new distinction between reconstruction and true corrosion, and we conclude that metal-metal bonding is the characteristic feature of reconstructed layers. We summarize our findings with a brief comparison of ionic layers of the two kinds.     

Stratified dust grains in the interstellar medium. III: Infrared cross-sections

We construct a model of interstellar dust in which H-rich amorphous carbon is deposited on silicate substrates in the interstellar medium, and is annealed to form H-poor amorphous carbon. The model grains are stratified spheres composed of hollow silicate cores coated with two carbonaceous layers, the inner layer of sp² carbon and the outer layer of sp³ carbon. Using an accurate method of computing the optical properties of such layered grains, we explore the consequences of varying the core-grain size distribution and the thicknesses of the carbonaceous layers on the resulting infrared extinction. We find a wide dispersion in the curve morphology that reflects the grain size distributions and the chemical composition of dust materials.     

Reinvestigation of Microwave Spectrum of Ethylsilane: I. Structure and Dipole Moment

Microwave spectra of ethylsilane and its 19 isotopic species have been measured. A least-squares analysis of the observed frequencies gave rotational constants and three quartic centrifugal distortion constants. The r_s structure has been well established from the moments of inertia calculated from the observed rotational constants. The structure has also been obtained from the differences of the observed moments of inertia between the isotopic and normal species by the diagnostic least-squares method. The structure of trans-propylsilane has been established from the reported and newly observed rotational constants for the isotopically substituted species of this molecule by application of the so-called diagnostic least-squares method. The structual parameters of ethylsilane were compared with those of analogous molecules. Special attention was paid to the C-C bond length. The newly obtained bond length is r(C-C)=1.541±0.001 Å. The dipole moment and its direction in the molecule were determined from Stark-effect measurements of several low-J transitions by the usual perturbation method; μ_a=0.733±0.001 D, μ_b=0.349±0.003 D, and μ_total=0.812±0.002 D were obtained for the normal species. The angle between the dipole moment and the Si-C bond was 36′ toward the inside of the molecule. These values were compared with those of analogous molecules.     

Stokes integral of economic growth: Calculus and the Solow model

Economic growth depends on capital and labor and two-dimensional calculus has been applied to economic theory. This leads to Riemann and Stokes integrals and to the first and second laws of production and growth. The mathematical structure is the same as in thermodynamics, economic properties may be related to physical terms: capital to energy, production to physical work, GDP per capita to temperature, production function to entropy. This is called econophysics. Production, trade and banking may be compared to motors, heat pumps or refrigerators. The Carnot process of the first law creates two levels in each system: cold and hot in physics; buyer and seller, investor and saver, rich and poor in economics. The efficiency rises with the income difference of rich and poor. The results of econophysics are compared to neoclassical theory.     

Ionic monolayers on metals: I. layers of like ions

We estimate the energy of a layer of like ions adsorbed on an atomically smooth face of a metal crystal. We consider only adions of large radius, so that the method of electrostatic images can be used in evaluating the energy. For periodic layers of high density, we find large deviations from the dipole approximation of Topping. Also, we estimate the increase in electrostatic energy accompanying disordering of a layer, and use the result to discuss thermal disordering of Na and Cs layers on W(110). We emphasize that the charge transfer to a layer of like ions must be small. For example, O and S anions of integral charge cannot form densely packed layers on metals.     

XPS study of five fluorinated compounds deposited on calcarenite stone: Part II: Aged samples

This paper reports the results of XPS study of the chemical modifications that occurs at the surface of five fluorinated compounds, deposited on calcarenite specimens, after 240 h of a simulated ageing in a climatic chamber under UV radiation and thermal stress. It has been found that the modifications occurred after this ageing treatment are not dramatic, nevertheless they are revealed by XPS analysis. However, these modifications do not affect the values of the static contact angles which remains practically unchanged after the ageing treatment with respect to those obtained before.