A generalization of Macaev's theorem to non-commutative LP-spaces

For 1P-spaces associated with a von Neumann algebra are shown to belong to the class UMD (that is, to possess the unconditionality property for martingale differences). With the aid of a recent result of the authors, which permits the classical Hilbert transform to be transferred to UMD spaces, a generalization of Macaev's theorem to non-commutative L^P-spaces is introduced. This generalization utilizes the Hilbert kernel in a central role, broadens the harmonic conjugation aspects of Macaev's theorem, and provides a universal bound depending only on p.     

Enhanced spore detection using dipicolinate extraction techniques

We have developed a method for bacterial endospore detection based on the presence dipicolinic acid (dpa), a substance unique to endospores. Since the sensitivity of this technique correlates directly with the amount of dpa extracted from the spores, we examined several types of extraction techniques for their dpa extraction efficiency. The three main categories investigated are physical, germination, and chemical methods for liberation of dpa from B. subtilis endospores. Attention is concentrated on the speed, efficiency, and simplicity of the extraction techniques for optimization of endospore detection using terbium-dipicolinate photoluminescence. Although methods from all categories succeeded in extracting dpa, the technique utilizing heated dodecylamine (dda) extracted the majority of the available dpa in less than 3 min. Application of the dda extraction procedure to the terbium-dipicolinate photoluminescence method in conjunction with an increased detection capability resulted in a two-order of magnitude improvement in endospore detection. This combination of methods resulted the lowest reported limit of detection (LOD) (1000 CFU/ml) for a terbium-dipicolinate photoluminescence method in the shortest reported time (5-7 min) for the total procedure.     

Synthesis and properties of some aryl-s-triazines

The synthesis and reactions of several substituted s-triazines were studied in attempts to prepare 4,6-bis(4-chlorophenyl)-s-lriazine-2-carboxylie acid ( 2 ) and 2-aldehyde ( 8 ). The 4,6-bis-(4-chlorophenyl)-s-triazine derivatives were surprisingly inert to a variety of reagents. 4,6-Bis-(4-chlorophenyl)-2-methyl-s-triazine ( 1 ) could not be oxidized with any of a variety of oxidants. On bromination 1 gave 4,6-bis(4-chlorophenyl)-2-dibromomethyl-s-triazine ( 4 ) which was resistant to hydrolysis but on oxidation with selenium dioxide gave 2 . Compound 2 was also prepared by the oxidation of 4,6-bis(4-chlorophenyl)-2-hydroxymethyl-s-triazme ( 7 ) with potassium permanganate. Other reagents did not oxidize 7 to 8 . 4,6-Bis(4-chloroanilino)-2-mcthyl-s-triazine ( 3 ) was also resistant to oxidizing agents. 2-Diazomethy1-4,6-dichloro-s-triazine ( 11 ) on reaction with 4-chloroaniline gave 4,6-bis(4-chloroanilino)-2-chloromethyl-s-triazine ( 12 ). All efforts to prepare 8 were unsuccessful.     

(De)constructing the ryanodine receptor: modeling ion permeation and selectivity of the calcium release channel

Biological ion channels are proteins that passively conduct ions across membranes that are otherwise impermeable to ions. Here, we present a model of ion permeation and selectivity through a single, open ryanodine receptor (RyR) ion channel. Combining recent mutation data with electrodiffusion of finite-sized ions, the model reproduces the current/voltage curves of cardiac RyR (RyR2) in KCl, LiCl, NaCl, RbCl, CsCl, CaCl(2), MgCl(2), and their mixtures over large concentrations and applied voltage ranges. It also reproduces the reduced K(+) conductances and Ca(2+) selectivity of two skeletal muscle RyR (RyR1) mutants (D4899N and E4900Q). The model suggests that the selectivity filter of RyR contains the negatively charged residue D4899 that dominates the permeation and selectivity properties and gives RyR a DDDD locus similar to the EEEE locus of the L-type calcium channel. In contrast to previously applied barrier models, the current model describes RyR as a multi-ion channel with approximately three monovalent cations in the selectivity filter at all times. Reasons for the contradicting occupancy predictions are discussed. In addition, the model predicted an anomalous mole fraction effect for Na(+)/Cs(+) mixtures, which was later verified by experiment. Combining these results, the binding selectivity of RyR appears to be driven by the same charge/space competition mechanism of other highly charged channels.     

Enthalpy of dissociation of water at 325°C and LogK, ΔH, ΔS,and ΔC p values for the formation of NaOH(aq) from 250 to 325°C

The aqueous reactions H⁺+OH^–=H₂O at 325°C and Na⁺+OH^–= NaOH(aq) at 250–325°C, were studied using a flow calorimeter. Heats of mixing of aqueous NaOH and HCl solutions were measured at 325°C. The enthalpy of water formation (H=95.9 kJ-mol^–1, valid at 12.4 MPa and infinite dilution) was obtained at this temperature from the heat of mixing data but differs significantly from that calculated from the Marshall-Franck equation. This calorimetric H at 325°C was used in combination with literaturelog K and H values at lower temperatures to derive equations representinglog K, H, S, and C_p for the formation of water from 250 to 325°C. Heats of dilution of aqueous NaOH solutions were measured at 250, 275, 300, and 325°C. Log K, H, and S for the formation of NaOH(aq) were determined at these temperatures from the fits of the calculated and measured heats while C_p values were calculated from the variation of H with temperature. No previous experimental results have been reported for the formation of NaOH(aq). The isocoulombic reaction principle is tested using thelog K values obtained in this study. The plot oflog K vs. 1/T for the isocoulombic reaction NaOH(aq) +H⁺=H₂O+Na⁺ is approximately linear.Presented at the Second International Symposium on Chemistry in High Temperature Water, Provo, UT, August 1991.Taken in part from the Ph.D. Dissertation of Xuemin Chen, Brigham Young University, 1991.     

Displacement Reactions of Phosphorus(V) Compounds and Their Pentacoordinate Intermediates

Reactions of phosphorus(v) compounds involving the mutual interconversion of tetra- and pentacoordinate species are discussed in a critical review emphasizing stereochemical implications of the reaction mechanism. This discussion includes the formation and decomposition of the stable oxyphosphoranes, the Michaelis-Arbusov, Perkov, and Wittig reactions, interconversions of phosphines and their oxides, and the nucleophilic displacements on phosphonium compounds. Reactions of phosphate esters and related compounds receive particular attention. All chemical arguments are derived by considering the effect of factors determining the relative stabilities of phosphorane derivatives, their rates of formation, decomposition and rearrangement by bond deformation or rupture and recombination processes, considerations which are uniformly applied on the basis of concepts developed in a preceding communication^[2]. It is shown that a comprehensive mechanistic interpretation of the foregoing reactions requires substantial addition to available conceptual foundations such that, in many cases, present concepts and mechanisms must be revised.     

The effect of temperature and pressure on the protonation ofo-phosphate ions at 348.15 and 398.15 K,and at 1.52 and 12.50 MPa

Flow calorimetry has been used to study the interaction of HPO ₄ ^2– and H₂PO ₄ ^– with H⁺ in water at temperatures of 348.15 and 398.15 K and at pressures of 1.52 and 12.50 MPa. The protonations of HPO ₄ ^2– and H₂PO ₄ ^– are exothermic and endothermic, respectively, under these experimental conditions. Under the conditions of this study, the effect of pressure on the enthalpy changes for both reactions is small. Equilibrium constant K, enthalpy change H, and entropy change S values are given for the protonation reactions at each temperature. These values are compared with those reported in the literature. Incorporation into the calculation procedure of reactions involving association between protonated phosphate species to form hydrogen-bonded dimers does not result in better fits of the experimental data.     

Thermodynamics of protonation of AMP,ADP, and ATP from 50 to 125°C

The interaction of adenosine 5-monophosphate (AMP), adenosine 5-diphosphate (ADP), and adenosine 5-triphosphate (ATP) ions with protons in aqueous solution has been studied calorimetrically from 50 to 125°C and 1.52 MPa. At each temperature, the reaction of acidic AMP with tetramethylammonium hydroxide was combined with the heat of ionization for water to obtain the enthalpy of protonation of AMP, while the reactions of HCl with deprotonated tetramethylammonium salts of ADP and ATP were used to obtain the enthalpies of protonation of ADP and ATP. Equilibrium constant K, enthalpy change H^o, entropy change S^o, and heat capacity change C _p ^o values were calculated for the stepwise protonation reactions as a function of temperature. The reactions involving the first protonation of AMP, ADP, and ATP and the third protonation of ADP and ATP were endothermic over the temperature range studied, while that involving the second protonation is exothermic for AMP and ADP, but is exothermic below 100°C and endothermic at 125°C in the case of ATP. Consequently, log K values for the first and third protonation reactions (phosphate groups) increase while those for the second protonation reaction (N₁-adenine) decrease in the cases of AMP and ADP and go through a minimum in the case of ATP as temperature increases. The H^o values for all protonation reactions increase with temperature. The magnitude and the trend for the H^o, S^o, and C _p ^o values with temperature are discussed in terms of solvent-solute interactions. The magnitude of the C _p ^o values for the second protonation is consistent with little interaction between the phosphate ion and the protonated N₁ site of the adenine moiety in AMP, but indicates moderate interaction between these groups in ADP, and strong interaction in ATP.     

Enthalpies of Dilution of Aqueous Solutions of LiCl, KCl, and CsCl at 300, 325, and 350°C

Dilution enthalpies, measured using isothermal flow calorimetry, are reported for aqueous solutions of LiCl, KCl, and CsCl at 300°C and 11.0 MPa, 325°C and 14.8 MPa, and 350°C and 17.6 MPa. The concentration range of the chloride solutions was 0.5 to 0.02m. Parameters for the Pitzer excess Gibbs ion-interaction equation were determined from the fits of the experimental heat data. Equilibrium constants, enthalpy changes, entropy changes, and heat capacity changes for ion association of the chloride salts were estimated from the heat data. For all systems, the enthalpy and entropy changes were positive and had accelerating increases with temperature. The resulting equilibrium constants show significant, but smaller, increases with temperature.