Kthe-Bochner空间的凸性(英文)

本文利用Kothe函数空间的性质以及Kothe函数空间与Kothe-Bochner空间的关系,讨论了Kothe-Bochner空间E(X)的凸性,主要结果如下: (a)给出E(X)的端点的充分条件,得到了E(X)严格凸的判据,相应地推广了Lp(μ,X) 以及Lφ(X)的结果; (b)讨论了E(X)的弱局部一致凸和局部完全k-凸; (c)刻画了E(X)的强凸,给出了F(X)强凸的充要条件．

Morphology-controlled synthesis and photocatalytic properties of K_(1.9)Na_(0.1)Ta_2O_6·2H_2O

The controllable synthesis of tantalate K1.9Na0.1Ta2O6·2H2O has been successfully achieved by a two-step technique,namely,the molten salt and hydrothermal methods,at a low temperature. By simply varying the KOH concentration in the hydrothermal process,K1.9Na0.1Ta2O6·2H2O particles with spherical,cuboctahedral,and durian-like morphologies were synthesized. The photocatalytic activity of the obtained samples for the degradation of rhodamine B was studied under ultraviolet light,which indicates that the photocatalytic properties of the samples are highly dependent on their morphologies. The K1.9Na0.1Ta2O6·2H2O nanospheres,with rough surfaces and the highest specific surface area,exhibit the best performance. The present work provides a unique approach for the controlled synthesis of tantalate photocatalysts,which are difficult to achieve through other synthetic approaches.

Improving the denitration performance and K-poisoning resistance of the V_2O_5-WO_3/TiO_2 catalyst by Ce^(4+) and Zr^(4+) co-doping

A series of V2O5‐WO3/TiO2‐ZrO2,V2O5‐WO3/TiO2‐CeO2,and V2O5‐WO3/TiO2‐CeO2‐ZrO2 catalysts were synthesized to improve the selective catalytic reduction(SCR)performance and the K‐poisoning resistance of a V2O5‐WO3/TiO2 catalyst.The physicochemical properties were investigated by using XRD,BET,NH3‐TPD,H2‐TPR,and XPS,and the catalytic performance and K‐poisoning resistance were evaluated via a NH3‐SCR model reaction.Ce^4+and Zr^4+co‐doping were found to enhance the conversion of NOx,and exhibit the best K‐poisoning resistance owing to the largest BET‐specific surface area,pore volume,and total acid site concentration,as well as the minimal effects on the surface acidity and redox ability from K poisoning.The V2O5‐WO3/TiO2‐CeO2‐ZrO2 catalyst also presents outstanding H2O+SO2 tolerance.Finally,the in situ DRIFTS reveals that the NH3‐SCR reaction over the V2O5‐WO3/TiO2‐CeO2‐ZrO2 catalyst follows an L‐H mechanism,and that K poisoning does not change the reaction mechanism.

A Study of Sr, Nd and O Isotopes of the K-rich Melanocratic Dykes in the Late Mesozoic Gold Field in the Jiaodong Peninsula

Geologic, petrographic and petrochemical studies of the late Mesozoic K-rich melanocratic dykes, including lamprophyres, andesite porphyrites and dacite-porphyry in the gold field system in the Jiaodong Peninsula, China, have shown that these dykes are characterized by rich potassium and alkali but poor titanium. They belong to an ultra-high potassic, shoshonitic and high potassic calc-alkaline rock series. The parental magma has relatively high initial strontium ratios ((87Sr/86Sr),=0.70895-0.71140) and low (143Nd/144Nd)1 ratios (varying from 0.51135 to 0.51231); and its δ18Osmow, whole rock values vary from +5.8%c to +10.6%c with a mean of +7.1%c. These features suggest that the source region of the magma is an enriched mantle wedge transformed from a continental lithosphere mantle which has experienced metasomatism by mantle-derived fluids with H2O-dominated fluids that were provided during the underthrusting of an ocean crust. The initial magma was generated by low-degree partial melting of the enriched mantle in its mature stage in the back-arc spreading environment. The evolution of magmas is associated with two trends, i.e., fractional crystallization and mixing with or intensive contamination by palaeo-crust materials or metamorphic rocks. The former process is evident in the gold field system of quartz-vein type, whereas the latter is dominated in the gold field system of the altered-rock type. This conclusion is very important for more detailed study of petrogenesis and mineralization through the crust-mantle interaction (exchange) in the Mesozoic in this region.

Preparation of Highly Active Pt-K/γ-Al_2O_3 Catalyst for o-Phenylphenol Synthesis from o-Cyclohexenyl-cyclohexanone Dehydrogenation

0.5%Pt-K/γ-Al2O3 catalysts for the synthesis of o-phenylphenol（OPP） from o-cyclohexenyl-cyclohexanone （dimer） dehydrogenation were prepared by means of a two subsequent impregnation method. The effects of catalyst preparation parameters, such as K promoters, calcination, and reduction conditions, were investigated. The results showed that the addition of K2SO4 to Pt/γ-Al2O3 catalyst notably promoted the selectivity of OPP, and its optimum content was found to be 6% in mass fraction. The higher activity was obtained when Pt/γ-Al2O3 catalyst was calcined in nitrogen atmosphere at 400--500 ℃ and then reduced at the same temperature for 3 h in hydrogen atmosphere. The conversion of the dimer and the selectivity of OPP were always above 99% and 90%, respectively, over 0.5%Pt-6% K2SO4/γ-Al2O3 catalyst during the pilot scale test of 8000 h.

Synthesis of visible light responsive ultrafine K_4Ce_2Nb_(10)O_(30) by a stearic acid method

K4Ce2Nb10O30 ultrafine powders were prepared by stearic acid method (SAM). The obtained products were analyzed by X-ray diffraction, transmission electron microscopy, energy dispersive X-ray spectrometry, scanning electron microscopy and UV-visible absorption spectra. XRD patterns revealed that K4Ce2Nb10O30 powders treated at 900 oC for 2 h presented tetragonal structure without the presence of deleterious phases. Furthermore, the K4Ce2Nb10O30 prepared by SAM had considerable activity under visible light irradiation.

Chemoselective synthesis of δ-lactones via benzyl radical cyclization utilizing K_2S_2O_8-CuCl_2

Direct chemoselective oxidation of δ-lactones via highly stable benzyl radical cyclization is reported. The one-pot conversion of premade substituted 5-aryl pentanoic acid and 8-benzyl-1-naphthoic acid in the presence of K2S2Os--CuCl2 results to the δ-lactones in moderate to good yields. The advantages of this methodology is using water as a solvent and utilizing available starting materials.

Study on the Effect of Preparation Parameters of K₂CO₃/Al₂O₃Sorbent on CO₂Capture Capacity at Flue Gas Operating Conditions

In this paper, study on the effect of preparation conditions of K2CO3/Al2O3 sorbent was done. Box-Behnken design was applied to study the influence of four parameters involve initial solution concentration, impregnation time and calcination step temperature and time. A quadratic model was used to correlate the sorbent capture capacity. The model was used to calculate the optimum conditions for preparing sorbent. From the analysis of variance (ANOVA), the most influential factor on each experimental design response was identified. The potassium-based sorbents used in this study were prepared by impregnating K2CO3 on Al2O3 support. The CO2 capture capacity was measured in the presence of H2O in a fixed-bed reactor at CO2 capture temperature of 60°C using breakthrough curves. The optimum sorbent prepared by this method showed CO2 capture capacity of 77.21 mg CO2/g sorbent. It was observed that the experimental values obtained were in good agreement with the values predicted by the model, with relatively small errors between the predicted and the actual values. The results obtained in this study can be used as basic data for study on design and operating condition optimization of CO2 capture process using these sorbents.

SYSNTHESIS AND CHARACTERIZATION OF A NEW COMPOUND K_6Ti_2Nb_(14)O_(42)IN K_2O-TiO_2-Nb_2O_5SYSTEM

A new compound K6Ti2Nb14O42was found in the ternary system K2O-TiO2-Nb2O5. The compound was characterized and investigated by electron probe, X-ray powder diffraction and differential thermal analysis . The transparent crystal of light yellow color in form of hexagon-thin plate can be grown by flux method. Further,its crystal structure was determined by four-circle diffratometer . K6Ti2Nb14 O42crystallizes in he(?)onal system with unitcell parameters a = 9. 1106(5)×1010m·c= 12. 0136(9)×10-10m,Z= 1 and space group P63/mcm(193).

SYNTHESIS AND X-RAY POWDER DIFFRACTION DATA OF A NEW COMPOUND:K_6FeNb_(15)O_(42)

A new compound K6FeNb15O42 was prepared for the first time by solid state reaction in K2O-Fe2O3-Nb2O5 ternary system. The X-ray powder diffraction data of the title compound was measured. K6FeNb15 O42 crystallizes in the hexagonal system with unit cell parameters, a = 9. 1320(4) A ,c = 12. 0670(9) A , and space group P63/mcm (193) , z = 1. The calculated and measured densities are 4. 489 g/cm3 and 4. 485 g. cm3, respectively.

SYNTHESIS AND CHARACTERIZATION OF A NEW COMPOUND :K_6Ti_0.67Nb_15.33O_42

A new compound K6Ti0.67Nb15.33O42 was prepared for the first time by solid state reaction in K2O-Ni2O3-Nb2O5 ternary system. The new compound was characterized by electron probe, X-ray powder diffraction and DTA. The result of X-ray powder diffraction shows that K6Ti0.67Nb15.33O42 crystallizes the hexagonal system with unit cell parameters a = 9. 1341(5) A ,c=12. 090(1)A . and space group P62/mcm(193 ).

SYNTHESIS AND X-RAY POWDER DIFFRACTION DATA OF A NEW COMPOUND:K_6FeNb_(15)O_(42)

A new compound K6FeNb15O42 u(?) prepared for the first time by solid state reaction in K2O-Fe2O3-Nb2O5 ternary system. The XRD data of the title compound was determined. K6FeNb15O42 crystallizes the hexagonal system with unit cell parameters a=9. 1320(4) A,c=12. 0670(9) A, and space group P63/mcm(193) , 2=1. The calculated and measured densities are 4. 489 g/ cm3 and 4. 485 g. cm3, respectively.

Photocatalytic Hydrogen Evolution from the Splitting of Water over Cd_(1-x)Zn_xS/K_2La_2Ti_3O_(10) Composites under Visible Light Irradiation

A series of Cd1-xZnxS/K2La2Ti3O10 composites were synthesized via a simple co-precipitation method. The prepared samples were characterized by X-ray diffraction(XRD), scanning electron microscopy(SEM), X-ray energy dispersive spectroscopy(EDX), ultraviolet-visible diffuse reflection(UV-Vis), X-ray photoelectron spectroscopy(XPS) and photoluminescence(PL) measurements. The composite structures consisted of Cd1-xZnxS nanoparticles evenly distributed on the surface of K2La2Ti3O10. The absorption edge of K2La2Ti3O10 shifted to the visible light region upon introduction of the Cd1-xZnxS nanoparticles. The photocatalytic activities of the catalysts were evaluated by hydrogen production under visible light irradiation. The prepared Cd0.8Zn0.2S(30wt%)/K2La2Ti3O10 exhibited higher photocatalytic activity, evolving 6.92 mmol/g H2 under visible light irradiation for 3 h. The promoted photocatalytic activity of the composites was attributed to the synergistic effect between Cd1-xZnxS and K2La2Ti3O10, which resulted in enhanced separation of photogenerated electrons and holes.

TBE EFFIGIENGIES OF THREE INITIATORS OF Fe^(2+)—H_2O_2, K_2S_2O_8, KMnO_4 AND TBE KINETIC EQUATION IN THE GRAFTING OF AGRYLAMIDE ONTO STARCH

A comparative study is made on the efficiencies of three initiators of Fe^(2+)-H_2O_2, K_2S_2O_8 and KMnO_4 in the grafting of acrylamide onto starch. Of the three initiators the best one is KMnO_4. Moreover, the kinetic equation is also studied.

Synthesis of Some Hexahydroquinazolinones Using K₃AlF₆(Al₂O₃/KF) as an Efficient Catalyst in Some Hexahydroquinazolinone Derivatives

A protocol for the synthesis of some 4-Aryl-1,3,4,6,7,8-hexahydroquinazolin-2,5(1H,6H)-diones (HHQs) was developed by means of a three-component condensation reaction of an aromatic aldehyde, 1,3-cylohexadione and urea in the presence of K3AlF6 (Al2O3/KF) as catalyst. This reaction is carried out under different conditions including 1) solvent free;2) reflux in acetonitrile;3) reflux in ethanol;4) reflux in chloroform;and 5) reflux in water. In all conditions, the desired products are obtained in high yields after relatively short reaction times. Nevertheless, the reactions proceed faster and in higher yields when they were carried out in acetonitrile. This adopted protocol for some Biginelli-type products has offered the advantages of reusability of the catalyst, high yields and ease of separation of pure products. Furthermore, the catalyst is easily prepared, stabilized and efficiently used under reaction conditions.

K2O对V2O5-WO3／TiO2催化剂的中毒作用

实验室制备了V2O5-WO3/TiO2的脱硝催化剂,采用模拟中毒法,在此催化剂上负载碱金属氧化物K2O,通过BET,XRD,SEM等方法对微观结构进行表征.在SCR活性试验台上研究不同含量K2O对催化剂脱硝活性,N2O生成率和SO2氧化率的影响.结果发现:K2O对于催化剂的毒性较强,随着添加量的增大,NO脱除率急剧下降,SO2的氧化率大大提高;较大含量的K2O(nK/nV=1,摩尔比)使催化剂比表面积有所减少,催化剂颗粒发生轻微团聚,微观结构变化不大,但NO的脱除率小于50%(380℃),N2O的生成率和SO2的氧化率均增加;K2O通过与V2O5的活性酸性位结合,使催化剂中有效活性位数量大为降低,导致脱硝活性下降.

K_2B_4O_7-Na_2B_4O_7-Li_2B_4O_7-H_2O四元体系288K相平衡研究

采用等温溶解平衡法研究了K2 B4O7 Na2 B4O7 Li2 B4O7 H2 O四元体系在 2 88K时的相平衡及平衡液相的主要物化性质(密度、电导率、pH值 )。研究发现 :该四元体系为简单共饱和型 ,无复盐及固溶体形成 ,根据溶解度数据绘制了相图 ,相图中有一个共饱点E ,三条单变度曲线E3 E ,E2 E ,E1 E ;三个结晶区平衡固相分别为K2 B4O7·4H2 O ,Na2 B4O7·10H2 O和Li2 B4O7·3H2 O。实验结果表明K2 B4O7对Na2 B4O7有增溶作用 。

C/H/O/N/S/Cl/K/Na元素的详细化学反应机理的简化与验证

基于Senkin模型,应用自编化学反应机理简化程序,结合Kinalc和Mechmod开源程序,发展了详细化学反应机理的简化与验证方法.以电站锅炉燃烧的计算流体力学(CFD)数值模拟为应用背景,建立了考虑C/H/O/N/S/Cl/K/Na元素的详细化学反应机理(115组分,1,342基元反应),并运用此方法得到简化反应机理(28组分,20反应).验证结果表明,该简化机理在锅炉运行的主要参数变化范围内(温度T=1,100～1,500,℃,过量空气系数λ=0.8～1.2)具有较好的准确性和较高的计算效率,可应用于锅炉燃烧的CFD计算.

C12A7-K_2O催化水蒸气重整生物油制氢

制备了C12A7-K2O和C12A7-O-催化剂.比较了C12A7-K2O和C12A7-O-两种催化剂对生物油进行催化水蒸气重整制氢的性能,结果表明C12A7-K2O的效果要明显优于C12A7-O-.在750℃时用C12A7-K2O催化剂得到63.7%的较高氢气产率.钾的加入大大提高了催化剂生物油水蒸气重整制氢的性能.

运用测井资料进行K_2O视含量计算方法研究

钾盐主要分为可溶性钾盐、非可溶性钾盐和液态钾盐,油气勘探过程中工业价值较高的固态钾盐主要有钾石盐和光卤石。系统分析了常见钾盐矿物在测井曲线上的特征,利用常规测井组合进行钾盐找矿的主要对象为K2O视含量高的可溶性钾盐——钾石盐和光卤石。通过纯度判别公式计算钾盐层的含泥质情况,排除泥岩中K2O的干扰,得到纯钾盐的贡献。在利用测井组合识别钾盐矿物类型的基础上,建立了相应的体积物理模型,通过选择合适的测井曲线和参数建立矩阵以及对矩阵进行运算,得出地层中总的K2O视含量、各矿物的K2O视含量以及钾盐的K2O视含量。