Semiempirical determination of the atom-surface interaction

We discuss three methods of determining V(z), the lateral average (G = 0 Fourier component) of the atom-surface interaction, from the bound state spectrum found in beam scattering. One method uses the Rydberg-Klein-Rees technique, which yields the width of the potential (i.e., separation of classical turning points) as a function of energy. This method incorporates also the known asymptotic form V ～ ?C₃z^?3, whereC₃ is derived from the polarizability and dielectric function of atom and solid, respectively. The second method uses a hybrid potential, constructed from a Morse potential with shifted zero of energy connected to the asymptotic form,?C₃z^?3, requiring continuity of V and $\text{d}\text{V}\text{d}\text{z}$. The third potential is a Lennard-Jones 3–9 interaction. Results are presented for H and He scattering from LiF and NaF.     

Solutions to the Pólya–Szegö Conjecture and the Weak Eshelby Conjecture

Eshelby showed that if an inclusion is of elliptic or ellipsoidal shape then for any uniform elastic loading the field inside the inclusion is uniform. He then conjectured that the converse is true, that is, that if the field inside an inclusion is uniform for all uniform loadings, then the inclusion is of elliptic or ellipsoidal shape. We call this the weak Eshelby conjecture. In this paper we prove this conjecture in three dimensions. In two dimensions, a stronger conjecture, which we call the strong Eshelby conjecture, has been proved: if the field inside an inclusion is uniform for a single uniform loading, then the inclusion is of elliptic shape. We give an alternative proof of Eshelby’s conjecture in two dimensions using a hodographic transformation. As a consequence of the weak Eshelby’s conjecture, we prove in two and three dimensions a conjecture of Pólya and Szegö on the isoperimetric inequalities for the polarization tensors (PTs). The Pólya–Szegö conjecture asserts that the inclusion whose electrical PT has the minimal trace takes the shape of a disk or a ball.     

Improvement of lysine production by analog-sensitive and auxotroph mutants of the acetylene-utilizing bacterium gordona bronchialis (Rhodococcus bronchialis)

An acetylene utilizingGordona (Rhodococcus) bronchialis strain, screened for the production of fine chemicals, was found to be capable of producing small amounts of lysine. Attempts to produce amino-acid analogresistant and/or sensitive mutants and auxotrophs of this strain with increased lysine production were made following UV-irradiation orN-methyl-N’-nitro-N-nitrosoguanidine (MNNG) treatment. The bacterium exhibited surprisingly high resistance levels to the aforementioned mutagens which is attributed to highly effective inborn-repair systems. Natural resistance to high levels ofS-(2-aminoethyl)-l-cysteine (AEC) (2%) was observed, in contrast withd, l-aspartic acid hydroxamate (AAH),l-lysine hydroxamate (LHX) and β-fluoropyruvate (FP). A variety of amino-acid analog-resistant (AAH^r, LHX^r) or analog-sensitive (FP^s) mutants were produced following UV-irradiation or MNNG treatment. Similarly, a large number of auxotrophs (68) of different types were also obtained. From these, one FP^s mono-auxotroph and two poly-auxotrophs (with at least one requirement for the aspartic acid family) showed an increased lysine production (~1.8 g/L) comparable (4 g/L) to that found in other bacteria capable of utilizing long-chain hydrocarbons(1).     

Laboratory generation of aerosols

Laboratory methods for the preparation of aerosols are reviewed. Emphasis is placed upon techniques which are reproduceable and which result in a narrow size distribution so that the aerosols which are formed can be utilized in further laboratory investigations.Condensation generators have evolved from the Sinclair—La Mer generator. They are based upon controlled cooling of vapors and condensation nuclei in a flowing system. Although the design is usually quite empirical, a careful theoretical analysis has been carried out for the heat transfer and convective diffusion processes in the so-called falling film generator in which the evaporating liquid flows down the inner walls of a tube which is maintained at an elevated temperature.Aerosols comprised of solid particles have been prepared by similar techniques. These particles, which may vary over a very wide range of particle sizes, may consist of salts, metals, polymers or oil coated salts. Solid particles formed by quenching hot vapors are usually spherical and amorphous. A variety of metal oxide aerosols have been formed by burning metal chlorides and oxychlorides in specially designed burners.Dispersion methods include rotating disc and rotating cup sprayers, and vibrating orifice generators. These can yield highly monodisperse aerosols. The latter device is particularly advantageous since particle size can be calculated a priori from the operating conditions. On the other hand, compressed air nebulizers, ultrasonic nebulizers and electrical atomizers are more difficult to operate reproducibly and they give quite broad particle size distributions.Solid aerosols can be formed by any of the devices based upon a dispersion method by first forming an aerosol from either a solution of a non-volatile solute or a colloidal dispersion, and then evaporating the solvent.Dispersion of dry powders is not suitable for preparation of aerosols for laboratory investigations. Although gas phase reactions and photolysis are among the earliest techniques, they have not been utilized in recent years despite the advantages which they offer for formation of aerosols under well controlled conditions.     

Nonrelativistic dyon-dyon scattering

The nonrelativistic problem of the scattering of two dyons (including the case of electron scattering by magnetic monopoles) is systematically studied, both classically and quantum mechanically, with a view toward the discrimination between various combinations of electric and magnetic charges. We analyze the classical cross section with particular attention to the interesting phenomena which occur for large angle scattering, the “rainbows” and “glory,” where the cross section becomes infinite. Quantum mechanically, we find that these infinities do not occur and that, when the partial wave scattering amplitude is summed, a very elaborate structure emerges for the cross section, which depends sensitively upon the electric and magnetic charges of the particles, as well as on their relative speed. We further discuss a large modification, leading to spin flip and nonflip amplitudes, due to the dipole moments of the particles. Numerical results are presented for a variety of values of these parameters. In principle, these results could be used to distinguish the δ-ray distributions produced by the various species of electrically and magnetically charged particles. Quite apart from the experimental implications of our numerical results, we have made a number of theoretical improvements and extensions. Numbered among these are the consideration of dyons and particles having dipole moments, and the explicit demonstration, based on the methods of angular momentum, that the differential cross section is independent of the choice of singularity line.     

Preparation and evaluation of poly(polyethylene glycol methyl ether acrylate-co-polyethylene glycol diacrylate) monolith for protein analysis

A poly(polyethylene glycol methyl ether acrylate-co-polyethylene glycol diacrylate) monolith was prepared by UV-initiated polymerization. Methanol and ethyl ether were selected as porogens from a variety of organic solvents to achieve the desirable characteristics of the monolith. The preparation of the monolith could be achieved within 10 min. The monolith was macroscopically homogeneous, had low flow resistance, and did not swell or shrink significantly in tetrahydrofuran. Inverse size-exclusion data indicate that the monolith had a total porosity of 75.4% and an internal porosity of 9.1%. The monolith could be used for size-exclusion separation of peptides, although it could not separate proteins with molecular masses between 10 and 100 K due to its unique pore size distribution. It was found to resist adsorption of proteins in capillary liquid chromatography when using 100 mM phosphate buffer (pH 7.0) containing 0.5 M NaCl. Complete recovery of both acidic and basic proteins was achieved. The monolith can be used for applications in which inert materials are required for protein analysis.