The Role of Neutron Activation Analysis at The Dow Chemical Company

The role of neutron activation analysis (NAA) at The Dow Chemical Company has not changed significantly since the first operations, which were conducted in July, 1967. That role is threefold; provide results with appropriate precision, accuracy and sensitivity; provide results in a timely manner; and provide results for a reasonable cost. What has changed, are the requirements for satisfying each of the three components of the role. In a business-focused environment, analyses need to be performed faster with better sensitivity and/or precision and be more cost efficient. In order to meet these requirements, operations at The Dow TRIGA Research Reactor are devoted to NAA activities.     

Sensitized near-infrared lanthanide luminescence from Nd(III)- and Yb(III)-based cyclen-ruthenium coordination conjugates

The development of novel mixed lanthanide-transition-metal (f-d) based supramolecular self-assemblies made from neodymium- and ytterbium-based tetraamide-functionalized cyclen complexes bearing a single 1,10-phenanthroline moiety coordinating to a RuII(bipy)2 (bipy = bipyridine) unit is described. Excitation of the Ru(II) metal-to-ligand charge-transfer band in water gave rise to long-wavelength sensitized emission from the Yb(III) or Nd(III) centers, observed in the near-infrared.     

Measurement of spin-transfer observables in p p-->Lambda Lambda at 1.637 GeV/c

Spin-transfer observables for p p-->Lambda Lambda have been measured using a transversely polarized frozen-spin target and a beam momentum of 1.637 GeV/c. Current models of the reaction near threshold are in good agreement with existing measurements performed with unpolarized particles in the initial state but produce conflicting predictions for the spin-transfer observables Dnn and Knn (the normal-to-normal depolarization and polarization transfer), which are measurable only with polarized target or beam. Measurements of Dnn and Knn presented here are found to be in disagreement with predictions from these models.     

Effect of lattice structure on energetic electron transport in solids irradiated by ultraintense laser pulses

The effect of lattice structure on the transport of energetic (MeV) electrons in solids irradiated by ultraintense laser pulses is investigated using various allotropes of carbon. We observe smooth electron transport in diamond, whereas beam filamentation is observed with less ordered forms of carbon. The highly ordered lattice structure of diamond is shown to result in a transient state of warm dense carbon with metalliclike conductivity, at temperatures of the order of 1-100?eV, leading to suppression of electron beam filamentation.     

Mean Flow and Turbulence Measurements in a Turbulent Free Cruciform Jet

The results of measurements of all three components of the mean velocity vector, the Reynolds normal and primary shear stresses and the mean static pressure in a turbulent free jet, issuing from a sharp-edged cruciform orifice, are presented in this paper. The measurements were made with an x-array hot-wire probe and a pitot-static tube in the near flow field of the jet. The Reynolds number, based upon the equivalent diameter of the orifice, was 1.70 × 10⁵. In addition to the quantities measured directly, the mean streamwise centreline velocity decay, the jet half-velocity widths, the jet spreading rate, the mean streamwise vorticity, the mass entrainment rate, the integral momentum flux and the one-dimensional energy spectra have been derived from the measured data. The results show that the mean streamwise centreline velocity decay rate of the cruciform jet is higher than that of a round jet issuing from an orifice with the same exit area as that of the cruciform orifice. The mean streamwise velocity field changed shape continuously from a cruciform close to the orifice exit plane to circular at 12 and half equivalent diameters downstream. The mean streamwise vorticity field, up to about three equivalent diameters downstream of the orifice exit plane, consists of four pairs of counter-rotating cells, which are aligned with the four edges in the centre of the cruciform orifice.     

Optimal linear perfect hash families with small parameters

A linear (q^d, q, t)‐perfect hash family of size s consists of a vector space V of order q^d over a field F of order q and a sequence ?₁,…,?_s of linear functions from V to F with the following property: for all t subsets X ? V, there exists i ∈ {1,·,s} such that ?_i is injective when restricted to F. A linear (q^d, q, t)‐perfect hash family of minimal size d( – 1) is said to be optimal. In this paper, we prove that optimal linear (q², q, 4)‐perfect hash families exist only for q = 11 and for all prime powers q > 13 and we give constructions for these values of q. © 2004 Wiley Periodicals, Inc. J Comb Designs 12: 311–324, 2004     

Local theory of almost split sequences for comodules

We show that almost split sequences in the category of comodules over a coalgebraΓ with finite-dimensional right-hand term are direct limits of almost split sequences over finite dimensional subcoalgebras. In previous work we showed that such almost split sequences exist if the right hand term has a quasifinitely copresented linear dual. Conversely, taking limits of almost split sequences over finte-dimensional comodule categories, we then show that, for countable-dimensional coalgebras, certain exact sequences exist which satisfy a condition weaker than being almost split, which we call “finitely almost split”. Under additional assumptions, these sequences are shown to be almost split in the appropriate category.

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Sunto Dimostriamo che le successioni che quasi spezzano nella categoria dei comoduli su una coalgebra Γ con termine di destra di dimensione finita sono limiti diretti di successioni che quasi spezzano su sottoalgebre di dimensione finita. In un lavoro precedente abbiamo dimostrato che tali successioni che quasi spezzano esistono se il termine di destra ha un duale lineare quasi-finitamente copresentato. Viceversa, prendendo il limite delle successioni che quasi spezzano su categorie di comoduli di dimensione finita, dimostriamo che, per coalgebre di dimensione numerabile, esistono alcune successioni esatte che soddisfano una condizione più debole di essere quasi spezzanti, che noi chiamiamo “finitamente quasi spezzanti”. Sotto ipotesi aggiuntive, si dimostra che queste successioni quasi spezzano nelle opportune categorie.

     

Conics and caps

In this article, we begin with arcs in PG(2, q ⁿ ) and show that they correspond to caps in PG(2n, q) via the André/Bruck?CBose representation of PG(2, q ⁿ ) in PG(2n, q). In particular, we show that a conic of PG(2, q ⁿ ) that meets ?_?? in x points corresponds to a (q ⁿ ?+?1 ? x)-cap in PG(2n, q). If x?=?0, this cap is the intersection of n quadrics. If x?=?1 or 2, this cap is contained in the intersection of n quadrics and we discuss ways of extending these caps. We also investigate the structure of the n quadrics.     

Spanning lengths of percolation clusters

The spanning length of a percolation cluster is defined as the difference between the maximum and minimum coordinates of the cluster with respect to some chosen direction. It is statistically related to the number size of the cluster by an exponent that differs from the iriverse dimension that would characterize a compact cluster. This exponent for large percolation clusters in simple cubic lattice sites was studied by the Monte Carlo technique, and results are presented. Previous theoretical treatments of this exponent and its relationship with other critical exponents are discussed.In the present paper we shall refer exclusively to the site percolation problem, and all our definitions will be within that context.