Rapid method for the determination of vitamins A and E in foods using ultra-high-performance liquid chromatography

A rapid and novel ultra-HPLC (u-HPLC) method for the determination of vitamins A (retinol) and E (alpha-, gamma-, and delta-tocopherol) in foods was validated in terms of its precision, accuracy, and linearity. The u-HPLC separation was performed on an RP C18 column (particle size 2 microm, id 2 mm, and length 75 mm), followed by fluorescence detection. The recovery of retinol was more than 84.58%; the LOD and LOQ of the u-HPLC analysis were 0.015 and 0.045 mg/kg, respectively. The intraday and interday precision was less than 9.12%. The recoveries of alpha-, gamma-, and delta-tocopherol were more than 81.37%; the LOD and the LOQ were 0.014, 0.002, and 0.001 mg/kg and 0.042, 0.005, and 0.004 mg/kg, respectively. All calibration curves had good linearity (r2 = 0.99) within the test ranges. The novel, rapid method coupled to u-HPLC can provide significant improvements in the speed, sensitivity, and resolution compared with a conventional HPLC method.     

Direct sp3 C?H Amination of Nitrogen‐Containing Benzoheterocycles Mediated by Visible‐Light‐Photoredox Catalysts

Visible‐light‐mediated direct sp³ C? H amination of benzocyclic amines via α‐aminoalkyl radicals by using photoredox catalysts is described here. The obtained N,N‐acetals were also successfully applied for carbon–carbon bond forming reactions with carbon nucleophiles. The procedure is suitable for a late‐stage modification of C? H bonds to C? C bonds.     

Controlling apatite microparticles formation by calcining electrospun sol–gel derived ultrafine silica fibers

Electrospun ultrafine silica fibers were calcined at 150–800 °C. The relation of calcination temperature to the ability to form biomimetic apatite in a simulated body fluid solution (SBF) was evaluated. The largest apatite particles, formed on non-calcined fibers after 1 week of soaking in SBF, were 10 μm in diameter, had a narrow size distribution (coefficient of variation 9%), and were similar to pearls on string. The particles size decreased with increasing calcination temperature below 250 °C and the particles formed on the fibers calcined at 250 °C were 4.5 μm in diameter. No particles were found on those calcined above 500 °C. By using a concentrated SBF at 1.5-times higher ionic concentrations than SBF, the size of apatite microparticles increased about 50%. The fibrous substrate covered with apatite particles was effective for osteoblastic differentiation of pre-osteoblastic cells.     

Compact and large depth of field image scanner for auto document feeder with compound eye system

We designed a compact and large depth of field image scanner targeted for auto document feeders (ADF) by using a compound eye system design with plural optical units in which the ray paths are folded by a reflective optics. Though we have previously proposed the principle concept, we advance the design using a free-form surface mirror to reduce the F-number for less illumination energy and to shrink its optical track width to 40 mm. We achieved large depth of field (DOF) of 1.2 mm, defined as a range exceeding 30% modulation transfer function (MTF) at 300 dpi, which is about twice as large as a conventional gradient index (GRIN) lens array contact image sensor (CIS). The aperture stop has a rectangular-shaped aperture, where one side length is as large as 4.0mm for collecting much light, and another side length is as small as 1.88mm for avoiding interference of folded ray paths.     

Symbolic transfer entropy rate is equal to transfer entropy rate for bivariate finite-alphabet stationary ergodic Markov processes

Transfer entropy is a measure of the magnitude and the direction of information flow between jointly distributed stochastic processes. In recent years, its permutation analogues are considered in the literature to estimate the transfer entropy by counting the number of occurrences of orderings of values, not the values themselves. It has been suggested that the method of permutation is easy to implement, computationally low cost and robust to noise when applying to real world time series data. In this paper, we initiate a theoretical treatment of the corresponding rates. In particular, we consider the transfer entropy rate and its permutation analogue, the symbolic transfer entropy rate, and show that they are equal for any bivariate finite-alphabet stationary ergodic Markov process. This result is an illustration of the duality method introduced in [T. Haruna, K. Nakajima, Physica D 240, 1370 (2011)]. We also discuss the relationship among the transfer entropy rate, the time-delayed mutual information rate and their permutation analogues.     

Degree of swelling and extent of crowding of flexible polymer coils in low concentration region

At infinite dilution, a flexible polymer chain is an isolated coil swollen with solvent. The situation may be treated in a manner analogous to the swelling equilibrium of a lightly crosslinked network. From the thermodynamic relation, the degree of swelling of the polymer coil may be estimated (1, 2). This value, the degree of chain extension, was found to be somewhat larger than that estimated from intrinsic viscosity. This finding was interpreted to mean that the chain segments in the periphery of the coil are more extended than the average coil extension (1). In the present work the dilute but finite concentration range was examined. In this case a polymer coil is in equilibrium with solvent containing polymer chains of the same kind. As the concentration is increased, the excess extension of the chain segments in the periphery of the coil diminishes. With further concentration increase, the polymer coil continues to decrease in size to the size defined by the theta condition, when the free solvent disappears. At that concentration adjacent polymer coils begin to interpenetrate. This behavior is described quantitatively. The input data required for this calculation are the intrinsic viscosity of the polymer-solvent system of interest, that of the polymer at the theta condition, and the thermodynamic interaction parameter as a function of temperature, concentration, and molecular weight of the polymer. Thermodynamic equations and their derivations are described.     

The Order Parameters of Some Nematic Liquid Crystals Measured by the Resonance Raman Effect and Its Relevance to the Nematic-Isotropic Phase Transition

The second and fourth order parameters of nematic MBBA and 5CB have been determined near the nematic-isotropic transition temperatures by means of resonance Raman measurements on β-carotene dissolved as an orientational probe. The limiting behaviour of the second order parameter of MBBA near the transition point has been investigated on the basis of its fluctuation, which is deduced from the 2nd and 4th order parameter values.     

Beliaev theory of spinor Bose–Einstein condensates

By generalizing the Green’s function approach developed by Beliaev [S.T. Beliaev, Sov. Phys. JETP 7 (1958) 299; S.T. Beliaev, Sov. Phys. JETP 7 (1958) 289], we study effects of quantum fluctuations on the energy spectra of spin-1 spinor Bose–Einstein condensates, in particular, of a ⁸⁷Rb condensate in the presence of an external magnetic field. We find that due to quantum fluctuations, the effective mass of magnons, which characterizes the quadratic dispersion relation of spin-wave excitations, increases compared with its mean-field value. The enhancement factor turns out to be the same for two distinct quantum phases: the ferromagnetic and polar phases, and it is a function of only the gas parameter. The lifetime of magnons in a spin-1 ⁸⁷Rb spinor condensate is shown to be much longer than that of phonons due to the difference in their dispersion relations. We propose a scheme to measure the effective mass of magnons in a spinor Bose gas by utilizing the effect of magnons’ nonlinear dispersion relation on the time evolution of the distribution of transverse magnetization. This type of measurement can be applied, for example, to precision magnetometry.