Ellipsometric study of the adsorption of comb-branched polystyrene onto a metal surface

The adsorption of well-characterized comb-branched polystyrene onto a chrome plate from cyclohexane solution at the θ temperature has been studied by ellipsometry. Both the adsorbance of the polymer and the extension of the adsorbed layer are compared with values for the linear polystyrene of the same molecular mass. The adsorbance is higher than that of the linear polystyrene, whereas the extension of the adsorbed layer is smaller, reflecting the higher segment density of the branched polymer. The extension t_b of the branched polymer is given approximately t_b = t_lg, where t_l is the extension of linear polystyrene of the same molecular mass and g is the ratio of the radii of gyration of the branched and linear polymers. The ratio of the adsorbances A_b/A_l of branched and linear polymer is approximately equal to g. These results indicate that the comb-branched polymer is adsorbed as a slightly distorted randam coil with extension and adsorbance governed primarily by the experimental g_s factor.     

Phase unwrapping method along radial coordinates for speckle image reconstruction

We describe a phase estimating technique for a stellar speckle image reconstruction, which is based on the phase unwrapping method in polar coordinates. The phase unwrapping along radial lines is favorable to reduce accumulating errors in the phase estimation. This method is combined with Bruck-Sodin method which gives the estimate of the modulus of an object transform without a point reference source. Computer simulations of the image reconstruction are presented.     

Thickening process of polyethylene single crystals at an early stage of annealing

By the use of a position sensitive proportional counter, changes in small and wide angle X-ray scattering during annealing of polyethylene single crystal mats were measured from the start in successive spans of very short measuring time. At high temperatures, the long period relating to stacking of lamellae rapidly increased at an early stage, passed through a plateau, and thereafter again increased gradually. With a decrease in annealing temperature, the amount of its first rapid increase was reduced and the plateau changed into an ascending slope. At much lower annealing temperatures, the long period increased following the logt law after an induction time. The integral breadth of a peak corresponding to the long period first increased rapidly, simultaneously with the rapid increase in the long period, and thereafter decreased. Wide angle X-ray measurement showed that the integrated intensity of 110 reflection first decreased and then increased during annealing at high temperatures. This fall and rise process was more marked, when the annealing temperature is higher and the initial thickness of lamellae is smaller. From these observations, it was inferred that in the thickening process, stacking order of lamellae at first decreased because of rapid reorganization due to partial melting or melt-recrystallization and subsequently increased through increasing evenness of lamellar thickness.     

Frequency tunable beat note from a dual-polarization emitting external cavity diode laser

A method is presented to generate tunable millimetre waves by photomixing one TE mode and one TM mode of a dual-polarization external cavity diode laser emitting in the 1.55 μm wavelength domain. Beat notes in the frequency range 0.2 to 60GHz have been measured where the upper frequency is limited by the detector system bandwidth only. The frequency and amplitude stability are investigated. Typical beat intensity fluctuations are within 0.5 dB. The frequency stability is around 5MHz. The relative intensity noise of a TE and a TM mode was measured and a correlation found around multiples of the cavity roundtrip frequency and in the low frequency regime. Theoretical calculations show qualitative agreement with the measurement results. This revised version was published online in November 2006 with corrections to the Cover Date.     

Subject index for volume 107

The far-infrared laser magnetic resonance spectrum of AsH in the ground X³Σ^? state has been observed using five optically pumped laser lines as sources. The AsH radical was produced by the reaction of metallic arsenic with microwave discharge products of a H₂ and O₂ mixture. From an analysis of the observed spectrum, the following rotational and fine structure constants were obtained: B₀ = 215 877.54 (23), D₀ = 9.834 (11), λ = 1 763 488 (56), and γ = ?8 114.5 (60), all in MHz with 3σ in parentheses. The hyperfine coupling constants were also determined for the two nuclei as follows: α_As = ?11.5 (14), β_As = ?159.4 (13), eQq_As = ?97.6 (72), α_H=?49.80 (66), and β_H=4.15 (60), again in MHz with 3σ in parentheses.     

General description of mechanical anisotropy of semicrystalline polymers in relation to orientation of structural units composed of crystalline and noncrystalline materials

A mathematical representation of the transformation of an orientation function between two sets of Cartesian coordinates is discussed in terms of a series expansion of the distribution function in generalized spherical harmonics. A general procedure for calculating the mechanical anisotropy of a single-phase system (a polycrystalline material) from the orientation of its structural units and the intrinsic mechanical anisotropy of the structural unit is discussed in relation to the transformation of the orientation distribution function, i.e., mutual conversion of the coefficients in the expansion of the distribution function between the two sets of Cartesian coordinates. The procedure is extended to a two-phase systems (semicrystalline polymers) containing structural units composed of crystalline and noncrystalline materials in three different geometrical arrangements.     

The geometrical structure of the parameter space of the two-dimensional normal distribution

The differential geometrical consideration of the parameter space, especially as a Riemannian geometry, was initiated by C.R. Rao in 1945. This approach appears to be important for the problem of estimation and test of hypotheses as well as for applications to physical problems. It has been shown that the parameter spaces of univariate normal distribution, univariate exponential distribution and multinomial distribution are Riemannian spaces of constant curvature. In the present paper the discussion is confined to the parameter space of the two-dimensional normal distribution. It has been shown that in general the parameter space is not necessarily of a constant curvature and that, if the correlation coefficient vanishes, the parameter space becomes an Einstein space. In addition, some invariant quantities, as sectional curvature, mean curvature and scalar curvature, have been calculated.     

Canonical height functions for affine plane automorphisms

Let be a polynomial automorphism of dynamical degree δ≥2 over a number field K. We construct height functions defined on that transform well relative to f, which we call canonical height functions for f. These functions satisfy the Northcott finiteness property, and a -valued point on is f-periodic if and only if its height is zero. As an application, we give an estimate on the number of points with bounded height in an infinite f-orbit.     

Einstein-de Haas effect in dipolar Bose-Einstein condensates

The general properties of the order parameter for a dipolar spinor Bose-Einstein condensate are discussed based on symmetries of interactions. An initially spin-polarized dipolar condensate is shown to dynamically generate a nonsingular vortex via spin-orbit interactions--a phenomenon reminiscent of the Einstein-de Haas effect in ferromagnets.