Redistribution of Damping in Viscoelasticity

Physically admissible, global BV solutions are constructed to the Cauchy problem for the equations of one-dimensional, nonlinear viscoelasticity of the Boltzmann type. The required BV bounds are derived with the help of energy estimates, in conjunction with a change of variables that redistributes the damping on an equitable basis among the equations of the system, thus exposing the dissipative effect of viscosity on the variation of solutions.     

Deformation of a sheet with coupling between elasticity and concentration

We investigate a simple model for equilibrium deformation of a sheet with concentration-dependent elasticity. The model is motivated by several physical situations where deformation of a sheet is modulated by concentration of a mobile species, for example, a quasi-2D array of carbon nanotubes. Elasticity of the sheet is modeled using a free energy functional that includes concentration-dependent potential energies, and a free energy of mixing. We show that the sheet responds to imposed distortion by rearranging its constituents and can do so in a smooth and stable manner only for sufficiently small distortion. For larger distortions, through phase plane and numerical analysis, we consider how the system can meet boundary conditions through nonsmooth solutions.     

Ion-pair single-drop microextraction versus phase-transfer catalytic extraction for the gas chromatographic determination of phenols as tosylated derivatives

A sensitive ultra-performance liquid chromatography-electrospray tandem mass spectrometry method, combined with solid-phase extraction and silica cartridge cleanup, was established for nine androgens (androstenedione, 19-nor-4-androstene-3,17-diol, androsterone, epiandrosterone, testosterone, methyltestosterone, trenbolone, nandrolone, stanozolol) and nine progestogens (progesterone, 17alpha-hydroxyprogesterone, 21alpha-hydroxyprogesterone, 6alpha-methyl-hydroxyprogesterone, 17alpha,20beta-dihydroxy-4-pregnene-3-one, megestrol acetate, norethindrone, norgestrel, medroxyprogesterone acetate) in environmental waters. For the various water matrices considered, the overall method recoveries were from 78 to 100%, and no apparent signal suppression was found. The method detection limits for the eighteen analytes in the influent, effluent and surface water samples were 0.20-50, 0.04-20 and 0.01-12 ng/L, respectively. This method was used to analyze the residual androgens and progestogens in the wastewater and surface water samples from Japan, and ten analytes (0.03 (medroxyprogesterone acetate)-1441 ng/L (androsterone)) were detected in the wastewater samples, and four analytes (0.06 (progesterone)-0.46 ng/L (androstenedione)) were detected in the surface water samples.     

Alignment of ethyl halide molecules (C2H5X, X= I, Br, Cl) induced by strong ps laser irradiation

The alignment of polyatomic molecules under strong 35 ps laser irradiation is investigated for a broad range of laser intensities (10(13)-10(15) W/cm(2)) using time-of-flight mass spectrometry. The dynamic alignment of the molecules under study (C2H5X, X = I, Br, Cl) is verified in single-pulse experiments by recording the fragments' angular distributions, their dependence on the laser intensity, and also the comparison of the ionic signal of the various fragments recorded for linear and circular polarization. For all cases, the angular distributions of the Coulomb explosion fragments are found to be independent of the laser peak intensity, implying that the molecular alignment is taking place during the rise time of the laser pulses at relatively low intensities (approximately 10(13) W/cm(2)). Moreover, the same result implies that the alignment mechanism is close to the adiabatic limit, albeit the laser pulse duration is much shorter than the characteristic rotational times (1/2B) of the molecules under study. Finally, by comparing the angular distributions of the different molecules, we conclude that the degree of alignment is only weakly dependent on the molecular mass and the moment of inertia under the irradiation conditions applied.     

Advancing MXene Electrocatalysts for Energy Conversion Reactions: Surface,Stoichiometry, and Stability

MXenes, due to their tailorable chemistry and favourable physical properties, have great promise in electrocatalytic energy conversion reactions. To exploit fully their enormous potential, further advances specific to electrocatalysis revolving around their performance, stability, compositional discovery and synthesis are required. The most recent advances in these aspects are discussed in detail: surface functional and stoichiometric modifications which can improve performance, Pourbaix stability related to their electrocatalytic operating conditions, density functional theory and advances in machine learning for their discovery, and prospects in large scale synthesis and solution processing techniques to produce membrane electrode assemblies and integrated electrodes. This Review provides a perspective that is complemented by new density functional theory calculations which show how these recent advances in MXene material design are paving the way for effective electrocatalysts required for the transition to integrated renewable energy systems.     

Gas chromatographic determination of carbonyl compounds in biological and oil samples by headspace single-drop microextraction with in-drop derivatisation

A suitable method for the gas chromatographic determination of 10 characteristic carbonyls in biological and oil samples based on the in-drop formation of hydrazones by using 2,4,6-trichlorophenylhydrazine (TCPH), has been developed. The derivatisation-extraction procedure was optimized separately for aqueous and oil samples with respect to the appropriate organic drop solvent, drop volume, in-drop TCPH concentration, sample stirring rate, temperature during single-drop microextraction (SDME), reaction time and headspace-to-sample volume ratio. The optimization showed differentiation of optimum values between the studied matrices. The limits of detection were found to range from 0.001 to 0.003 μg mL⁻¹ for the aqueous biological samples and from 0.06 to 0.20 μg mL⁻¹ for the oil samples. The limits of quantification were in the range of 0.003-0.010 μg mL⁻¹ and 0.020-0.059 μg mL⁻¹ for aqueous and oil samples, respectively. The overall relative standard deviations of the within-day repeatability and between-day reproducibility were <4.4% and <8.2% for the aqueous biological samples and <3.9% and <7.4% for the oxidized oil samples.     

Continue,quit, restart probability model

We discuss a new applied probability model: there is a system whose evolution is described by a Markov chain (MC) with known transition matrix on a discrete state space and at each moment of a discrete time a decision maker can apply one of three possible actions: continue, quit, and restart MC in one of a finite number of fixed “restarting” points. Such a model is a generalization of a model due to Katehakis and Veinott (Math. Oper. Res. 12:262, 1987), where a restart to a unique point was allowed without any fee and quit action was absent. Both models are related to Gittins index and to another index defined in a Whittle family of stopping retirement problems. We propose a transparent recursive finite algorithm to solve our model by performing O(n³) operations.     

Polyoxomolybdenum(V/VI)-sulfite compounds: synthesis, structural, and physical studies

Reaction of Na(2)Mo(VI)O(4) x 2H(2)O with (NH(4))(2)SO(3) in the mixed-solvent system H(2)O/CH(3)CN (pH = 5) resulted in the formation of the tetranuclear cluster (NH(4))(4)[Mo(4)(VI)SO(16)] x H(2)O (1), while the same reaction in acidic aqueous solution (pH = 5) yielded (NH(4))(4)[Mo(5)(VI)S(2)O(21)] x 3H(2)O (2). Compound {(H(2)bipy)(2)[Mo(5)(VI)S(2)O(21)] x H(2)O}(x) (3) was obtained from the reaction of aqueous acidic solution of Na(2)Mo(VI)O(4) x 2H(2)O with (NH(4))(2)SO(3) (pH = 2.5) and 4,4'-bipyridine (4,4'-bipy). The mixed metal/sulfite species (NH(4))(7)[Co(III)(Mo(2)(V)O(4))(NH(3))(SO(3))(6)] x 4H(2)O (4) was synthesized by reacting Na(2)Mo(VI)O(4) x 2H(2)O with CoCl(2) x 6H(2)O and (NH(4))(2)SO(3) with precise control of pH (5.3) through a redox reaction. The X-ray crystal structures of compounds 1, 2, and 4 were determined. The structure of compound 1 consists of a ring of four alternately face- and edge-sharing Mo(VI)O(6) octahedra capped by the trigonal pyramidal sulfite anion, while at the base of the Mo(4) ring is an oxo group which is asymmetrically shared by all four molybdenum atoms. Compound 3 is based on the Strandberg-type heteropolyion [Mo(5)(VI)S(2)O(21)](4-), and these coordinatively saturated clusters are joined by diprotonated 4,4'-H(2)bipy(2+) through strong hydrogen bonds. Compound 3 crystallizes in the chiral space group C2. The structure of compound 4 consists of a novel trinuclear [Co(III)Mo(2)(V)SO(3)(2-)] cluster. The chiral compound 3 exhibits nonlinear optical (NLO) and photoluminescence properties. The assignment of the sulfite bands in the IR spectrum of 4 has been carried out by density functional calculations. The cobalt in 4 is a d(6) octahedral low-spin metal atom as it was evidenced by magnetic susceptibility measurements, cw EPR, BVS, and DFT calculations. The IR and solid-state UV-vis spectra as well as the thermogravimetric analyses of compounds 1-4 are also reported.     

Selective intercalation of polymers in carbon nanotubes

A room-temperature, open-air method is devised to selectively intercalate relatively low-molecular-weight polymers (approximately 10-100 kDa) from dilute, volatile solutions into open-end, as-grown, wettable carbon nanotubes with 50-100 nm diameters. The method relies on a novel self-sustained diffusion mechanism driving polymers from dilute volatile solutions into carbon nanotubes and concentrating them there. Relatively low-molecular-weight polymers, such as poly(ethylene oxide) (PEO, 600 kDa) and poly(caprolactone) (PCL, 80 kDa), were encapsulated in graphitic nanotubes as confirmed by transmission electron microscopy, which revealed morphologies characteristic of mixtures in nanoconfinements affected by intermolecular forces. Whereas relatively small, flexible polymer molecules can conform to enter these nanotubes, larger macromolecules (approximately 1000 kDa) remain outside. The selective nature of this process is useful for filling nanotubes with polymers and could also be valuable in capping nanotubes.     

Computational electromagnetic methods for interconnects and small structures

The continual advances in speed and integration scale of electronic circuits have created enormous demands for high-speed, high-density packages which ensure reduced interconnection delays and improved electrical performance. Such structures usually involve a large number of planar transmission lines at various levels within the package, whereas the geometrical orientation of these lines is not necessarily uniform. Also, the existence of multiple dielectric layers, discontinuities, bends, and wire bounds adds considerable complexity to the package. It is therefore essential that full-wave computational electromagnetic (CEM) techniques, such as the finite element method (FEM) and the finite-difference time-domain (FDTD) method, be developed and used to accurately model the electrical performance of these devices and circuits.