Y_CΩ_(2n)are easy terms

For any natural number n≥1, Y CΩ 2n is an easy term; that is, for any λ term M, λβ+Y\-CΩ 2n =M is consistent, where Y C is Curry fixed point combinator, Ω 2n ≡ω 2n ω 2n and ω 2n ≡λx.xx...x (there are 2n occurrences of x after λx ). This result is a partial solution to Jacopini's conjecture: Y CΩ n is an easy term for any natural number n≥2.     

Synthesis and properties of novel gemini surfactant with short spacer

Cationic gemini surfactant dimethylene-1,2-bis(dodecyldiethylammonium bromide), referred to as C12C2C12(Et) was synthesized, and its surface property and aggregation behavior in aqueous solution were studied. The value of γ at the critical micelle concentration (γcmc) is much smaller than that of the surfactant homologues with longer spacer. Spherical and elongated micelles were formed in the aqueous solution of this gemini surfactant,and the spherical micelles were absolutely dominant compared to the elongated micelles at our studied concentration quantitatively.     

Photoluminescence of fullerene[60] in ultrathin ordered multilayers: The dissociation of molecular aggregation

The aggregation behavior of a substituted fullerene compound, 1-benzyl-2-hydro[60]fullerene (C₆₀-Be), in Z-type ultrathin ordered (e.g. LB) multilayers has been studied by UV-vis absorption, steady state and time-resolved fluorescence spectroscopies. The LB multilayers of pure C₆₀-Be showed J-aggregate formation, characterized by a large red-shift of two absorption peaks (ΔE∼2 098 cm¹ from 260→275 nm and ΔE∼1 076 cm^-1 from 328→340 nm, respectively). The main fluorescence emission bands were found at 710, 646, 603, 600 and 595 nm for pure (C₆₀-Be, mixed C₆₀-Be (molar percentage 50%, 25% and 20%. respectively) multilayers and monomeric C₆₀-Be in solution, respectively. The aggregates were dissociated by mixing with some inert materials. The fluorescence decay profiles of C₆₀-Be, mixed C₆₀-Be (molar percentage 50%, 25% and 20%, respectively) in LB films could be best-fitted by using a bi-exponential decay model.     

High molecular weight (C35 +) n-alkanes of Neogene heavily biodegraded oil in the Qianmiqiao region, North China

With wax content of 1.62%, heavy oil has been produced from the sandstone reservoirs of Neogene Guantao Formation (Ng1^Ⅲ). In the GC and GC-MS RIC profiles of its aliphatic fraction, n-alkanes are totally lost, which shows the result of heavy biodegradedation. However, the remaining trace C₁₃－C₃₆ n-alkanes can be still seen from its m/z 85 mass chromatogram. In addition, a complete series of C₃₅－C₇₃ high molecular weight (HMW) n-alkanes was detected by high-temperature gas chromatography (HTGC). The HMW n-alkane series shows a normal distribution pattern, a major peak at nC₄₃, obvious odd-carbon-number predominance, CP_I37—55 and OEP_45—49 values up to 1.17 and 1.16—1.20 respectively. The present study not only has conformed the strong resistibility of HMW n-alkanes to biodegradation in crude oils as concluded by previous researchers, but also has provided some significant information on source input and maturity for the heavily biodegraded oil in the Qianmiqiao region.     

On the Pólya conjecture and the weak Weyl-Berry conjecture

The Pólya conjecture and its connection with the weak Weyl-Berry conjecture are studied Specifically let Ω⊆R ⁿ (n≥1) be a non-empty bounded open set with boundary ∂Ω. LetN ₀(λ, −Δ,Ω) be the Dirichlet counting function and φ(λ) the associated Weyl term. If the interior Minkowski dimension of ∂Ω is δ∈[n−1,n], then under certain realisable conditions we prove that for λ sufficiently large the Pólya conjecture φ(λ) −N ₀(λ,−Δ,Ω)≥0 is true. Under related conditions we also prove thatϕ(λ)−N ₀(λ,−Δ, Ω)≈λ^5/2, as λ→+∞. That is, the Weak Weyl-Berry conjecture is true. Similar results are obtained for the Neumann counting function. Partially supported by the National Natural Science Foundation of China and the Royal Society of London Chen Hua: born in March 8, 1956, Professor     

Composition operators with linear fractional symbols on vector-valued Bergman spaces

0　IntroductionLetDdenotetheopenunitdiskinthecomplexplaneC , DitsboundaryanddAtheLebesguemeasureonD ,normal izedsothatA(D) =1.ForaBanachspace (X ,‖·‖X) ,wewriteH(D ,X)fortheclassofallX valuedanalyticfunctionsonD .Let1≤ p<∞ ,theX valuedBergmanspaceBp(X)istheclassofallf∈H(D ,X) forwhich‖f‖Bp(X) =∫D‖f(z)‖pXdA(z) 1 /p <∞ (1)IfX =C,thenwewriteBp =Bp(C) fortheclassicalBergmanspaces.Letφ∶D→Dbeananalyticself mapofD .Thenthee quation Cφf=f φdefinesacompositionoperator…     

Ultrasonic measurements of single-crystal gold under hydrostatic pressures up to 8 GPa in a Kawai-type multi-anvil apparatus

Ultrasonic measurements were conducted on single-crystal gold at ambient condition and hydrostatic pressures up to 8 GPa at room temperature in a Kawai-type multi-anvil apparatus. The P-wave velocities measured at high pressures were in good agreement with Daniels and Smith’s ultrasonic study. The three independent elastic constants of gold at ambient condition were determined to be C11=192.7 GPa, C12=162.9 GPa, and C44=42.4 GPa. On the basis of an analysis of previous elastic data and the present ultrasonic data, the pressure derivatives of three elastic constants were estimated to be C1 ′1= 7.12,C 1′2 = 6.24,and C4′4 = 1.82. The calculated values of isothermal bulk modulus (KT0) and its pressure derivatives ( KT ′0) are KT0 = 166.44 GPa and KT ′0= 6.56. This indicates that Anderson et al.’s model of equation of state of gold might underestimates pressure about 1 GPa at pressure around 23 GPa and ambient temperature. Our results explained the discrepancies among the models of equation of state of gold proposed previously.     

Interaction between dodecyl oxypropyl β-hydroxyltrimethylammonium bromide and Xanthan: MesoDyn simulation and binding isotherm measurements

MesoDyn density functional simulation method is used to study the interactions between dodecyl oxypropyl β-hydroxyltrimethylammonium bromide (C12NBr) and Xanthan (XC). The micro dynamic process of aggregate formation and the aggregate morphology are reported. Interaction between XC and nonyphenyloxypropyl β-hydroxyltrimethylammonium bromide (C9phNBr) is compared with that between XC and C12NBr. Simulation results show that the aggregate morphology of XC/C12NBr and XC/C9phNBr is of rod-like shape with helix characteristic. The binding of C9phNBr to XC is more difficult than that of C12NBr to XC. In addition, three stages for the dynamic evolution of surfactant binding to XC are observed. The simulation results agree with binding isotherms of C9phNBr (C12NBr) to XC obtained via the potentiometric titration method, which shows a typical cooperative binding between C9phNBr (C12NBr) and XC.     

Instability of relativistic electron beam with strong magnetic field

Stability criteria for a weak relativistic beam-plasma interaction in a strong magnetic field are found. Two beam modes occur,ω≈k _zC andω≈k _zC-ω_c. The dispersion equation of electrostatic two-stream is exactly solved with analytical method.     

Study on the fluorescence properties of some fluoroquinolones in various media

The fluorescence emission from fluoroquinolones is shown to be associated with the substituted quinoline portion of the molecule. Neutral, anionic, zwitterionic and cationic forms of the fluorophore are proposed to account for the fluorescent behavior in aqueous and organic media of different acidities. In aqueous solution a ground-state pKa was observed for NFX and CPFX from a study of the pH vs. fluorescence profile with excitation at 331 nm, the ground-state microscopic dissociation constents for NFX or CPFX were determined. The causes of fluorescence changing were explained. The optimum condition for the fluorimetric determination of NFX, CPFX is an acidic medium (pH=2.0∼4.0) with λ_ex=280 nm or 331 nm and λ_em=445 nm. Supported by the National Natural Science Foundation of China Huang Zuyun: born in Aug. 1963. Ph. D graduate student     

Synthesis and characterization of spinel Li_(1.05)Cr_(0.1)Mn_(1.9)O_(4-z)F_z as cathode materials for lithium-ion batteries

Samples with the nominal stoichiometry Li_1.05Cr_0.1Mn_1.9O_4−z F _z (z=0, 0.05, 0.1, 0.15, and 0.2) were synthesized via the solid-state reaction method and characterized by X-ray powder diffraction (XRD), scanning electron microscopy (SEM), galvanostatic charge/discharge, and slow rate cyclic voltammetry (SSCV) techniques. The results show that the pure spinel phase indexed to Fd3m can be obtained when z=0, 0.05, and 0.1. The substitution of F for O with z≤0.1 contributes to the increase of initial capacity compared with Li_1.05Cr_0.1Mn_1.9O₄ spinels. However, when the F-dopant content is designed to be 0.15 and 0.2, the Li_1.05Cr_0.1Mn_1.9O_4−z F _z samples deliver relatively low capacity and poor cycling properties at 55°C.     

A local asymptotic behavior for ruin probability in the renewal risk model

Let R（t）=u＋ct-∑ I=1^N（t） Xi,t≥0 be the renewal risk model, with Fx（x）being the distribution function of the claim amount X. Let ψ（u） be the ruin probability with initial surplus u. Under the condition of Fx（x） ∈ S^＊（γ）,y ≥ 0, by the geometric sum method, we derive the local asymptotic behavior for ψ（u,u ＋ z] for every 0 （ z （ oo, On one hand, the asymptotic behavior of ψ（u） can be derived from the result obtained. On the other hand, the result of this paper can be applied to the insurance risk management of an insurance company.     

Dynamic study on water stability of soil structure and soil characteristics of several types of soils in southwest China

Three suborder soils in southwest China were adopted, namely Ustic Vertisol, Stagnic Anthrosol and Ustic Ferrosol, so as to carry out the basic physical and chemical analysis respectively, to design a dynamic measuring method for water stability of soil structure and conduct the comparative study on the quality of the soil structure. The results indicated that （1） The water stability dynamic characteristic of the soil structure could well reflect the maintaining capability of the soil structure as time goes on. （2） The quality of several soil structures in southwest China was sequenced as follows： Stagnic Anthrosols 〉 Ustic Vertisols 〉 Ustic Ferrosols. （3） The water stability of soil structure is very positively correlated with the capillary porosity and the clay particle （D 〈 0.002 mm） content （Co）, but is very negatively correlated with the silt （D is 0.05-0.002 ram） content （Csc）, and （4） The dynamic functional equation of the water stability of soil structure in southwest China was established, so that the water stability characteristics of various soil structures could be quantitatively expressed and the quality of different soil structures can be quantitatively compared from each other.     

A Note on the Prime Spectrums of Character Rings of Finite Groups

0Introduction LetGbeafinitegroupoforder|G|=g,andletR(G)denotethecharacterringofG,whichisgeneratedbyalltheirreduciblecomplexcharactersofG.LetZbetherationalintegerringandNthesetofnatural numbers,andletZ[ω]betheintegralextensiongeneratedbyaprimitiveg throotωofunity.SupposethatSisasubringof thealgebraicnumberfieldsuchthatZ[ω]S.πisasetofra tionalprimenumbersdefinedasfollowsπ={p｜pisarationalprimenumbersuchthatp-1S}.Definition1WecallthataconjugacyclassCofthefinite groupGisaπregularconju…     

Synthesis and light-emitting properties of organic electroluminescent compounds and their metal complexes

Several organic electroluminescent (EL) compounds, 2,2‘-(1,4-phenylenedivinylene)bis-3,3-dimethyl-indolenine (1), 2,2‘-(1,4-phenylenedivinylene)bis-benzoxazole (2), 2,2‘-(1,4-phenylenedivinylene)bis-benzothiazole (3), 4,4‘-(1,4-phenylenedivinylene)bis-quinoline (4), 2,2‘-(1,4-phenylene divinylene)bis-quinoline (5), 2,2‘-(1,4-phenylenedivinylene)bis-1,3,3-trimethyl-indolenine dichlo ride (6), 2,2‘-(1,4-phenylene-divinylene)bis-1-hydro-3,3-dimethyl-indolenine dichloride (7), 2,2‘-(1,4-phenylenedivinylene)bis-8-acetoxy-quinoline (8), 2,2‘-(1,4-phenylenedivinylene)bis-8-hydroxyquinoline (9) and metal complexes of 9, Al(PHQ) (10) and Zn(PHQ) (11), have been synthesized and characterized. The crystal structure of 6 was determined. Light emitting properties of the prepared compounds have been investigated. 1 produces an orange-yellow emission (λmax=575nm). The cation, 6, gives a red emission (λmax=607nm), which is shifted 32 nm to the red compared to 1.8 produces a yellow emission (λmax=567nm). The metal complex 10 gives a red emission (λmax=610nm), which is a red shift of 43 nm compared to 8. The change in structure in the prepared compound caused a change in the electron distribution in the compounds, which induces a large wavelength shift of the emitted-light. Thermal analysis showed that the decomposition temperatures of the metal complexes (10, 11) were higher than those for the smaller organic molecular compounds (1-9). Therefore, metal complexes (10, 11) can be used as EL materials over a larger temperature range.     

Formation, structure and properties of GeCn± and Ge2Cn± binary clusters

The binary cluster ions Ge₂C_n⁺/Ge₂C_n^- and GeC_n⁺ have been produced by laser ablation. The parity effect is present in the negative ions Ge₂C_n^-, though it is not very prominent. While the experiments tell that the parity effect is totally not shown in the positive ions Ge₂C_n⁺. An extensive theoretical investigation on GeCn/GeC_n⁺/GeC_n^-(n=1-10) and Ge₂Cn/Ge₂C_n⁺/Ge₂C_n^-(n=1-9) has been carried out by density functional theory at B3LPY level. The calculation shows that the low-lying states of GeC_n/GeC_n⁺/GeC_n^-(n=1-10) and Ge₂C_n/Ge₂C_n⁺/Ge₂C_n^-(n=1-9) are linear structure with germanium atoms locating at terminals respectively. The electronic distributions, ionization potential (IP_ad), elec-tron affinity (EA) and increasing bonding energy reveal that the parity effect of neutral species is much stronger than that of ions, which is attributed to the valence π-electrons. It is explained that the differences between experiments and cal-culations are due to the kinetic factor in the formation of Ge₂C_n^±.     

Spectrofluorimetric determination of magnesium (II) with 7-(8-Hydroxy-3, 6-disulfonaphthylazo)-8-hydroxyquinoline-5-sulfonic acid

A new fluorescent reagent, 7-(8-hydroxy-3, 6-disulfonaphthylazo)-8-hydroxyquinoline-5-sulfonic acid (HDNHQ) for the determination of magnesium has been developed. It reacted with magnesium to form a 1∶1 fluorescent complex withλ _ex/λ _em immediately at room temperature in ammonia-ammonium chloride buffer (pH 10.7). A linear relationship was obtained in the magnesium concentration range of 0–160 ng·mL⁻¹ with the detection limit of 0.04 ng·mL⁻¹. The proposed method was simple, rapid and sensitive. It has been successfully applied to the determination of trace magnesium in blood serum with recoveries of 103.75% and 98.16%, respectively. Foundation item: Supported by the Zi-Qiang Foundation of Wuhan University Biography: Zhang Xian (1975-), female, Ph. D candidant, research direction: organic reagent synthesis and analysis.     

QSPR between Physical-Chemical Properties and Molecule Parameters of Alkanes

A set of molecule parameters, namely, N, N′, p, q, n, were used to express the structures of alkanes. A correlative model was established between certain physical-chemical properties and molecular parameters of alkanes by regression method. Eight physical-chemical properties, such as evaporation heat （△vHm^20）, density（D^20 ）, capacity （C^20）, surface tension （δ^20）, boiling point （Tb）, critical temperature（Tc）, critical pressure（Pc） and critical volume（Vc）, of fifty-six C3-C16 alkanes were calculated directly from the model in this paper. The calculated values are in good accordance with the literature ones reported for alkanes, and the correlation coefficients （R） equal or exceed 0.99 . The research results indicate that the principle of the method is simple and clear, the method is practical, the correlativity is excellent, and the predicted data are credible.     

Measurement of ethylene and methane production in a temperate forest soil using inhibition of acetylene and carbon monoxide

We studied in the laboratory the effects of acetylene （C2H2） concentrations on the accumulation and consumption of ethylene and methane in a temperate pine forest soil, and in situ ethylene and methane production and flush effects of nitrogen sources on both productions in the pine forest stand （Pinus sylvestris L.）. The addition of C2H2 at concentrations more than 50 Pa C2H2 in the headspace caused a more than 95% reduction in rates of ethylene and methane consumption in forest soil compared to those with no C2H2. Furthermore, addition of acetylene within a range of 50 to 10, 000 Pa C2H2 induced a similar rate of methane accumulation in forest soil. Hence, it can be concluded that presence of more than 50 Pa C2H2 in the headspace is an effective method to measure methane production in forest soil. The addition of C2H2 at concentrations more than 50 Pa C2H2 induced an increasing concentration of ethylene in the headspace （P≤0.05）, indicating the reduction of acetylene to ethylene in forest soil. Using inhibition of 0.5 kPa C2H2 in combination with 5 kPa carbon monoxide that inhibits the reduction of acetylene in a short term, it was observed that there was a larger in situ methane production rate （218±26 μg C m^-2 h^-1（μg C per square meter per hour, the same below）） than in situ ethylene production rate （92±6 μg C m^-2 h^-1） in the pine forest soil. The addition of nitrogen sources such as urea, urea plus a nitrification inhibitor dicyandiamide, and potassium nitrate, could induce a 5-fold greater increase in rates of in situ ethylene and methane production compared to those in the control, particularly in the latter （P≤0.05）. The results can promote in situ measurement of ethylene and methane production in forest soils at different sites.     

Standard molar enthalpy of formation of morin studied by rotating-bomb combustion calorimetry

Flavonols are plant pigments that are ubiquitous in nature. Morin and other related plant flavonols have come into recent prominence because of their usefulness as anticancer, anti-tumor, anti-AIDS, and other important therapeutic activities of significant potency and low systemic toxicity. The heat of combustion of morin (molecular formula, C₁₅H₁₀O₇·H₂O) in oxygen was measured by a rotating-bomb type combustion calorimeter, the standard molar enthalpy of combustion of morin at T = 298.15 K was determined to be Δ_c H _m^⦵ (C₁₅H₁₀O₇·H₂O, s) = −(5 937.99 ± 2.99) kJ · mol⁻¹. The derived standard molar enthalpy of the formation of morin in solid powder state at T = 298.15 K, Δ_f H _m^⦵ (C₁₅H₁₀O₇·H₂O, s), was −(1 682.12 ± 3.58) kJ · mol⁻¹, which provide an accurate data of the stability of morin to the pharmacy and pharmacology. Biography: HOU Hanna(1956–), female, Visiting researcher, Associate professor of Hubei University of Education, research direction: thermochemistry.