S3与Wn的笛卡尔积交叉数

本文先构造S3×Wn的一种好画法,由这种好画法计算出Cr(S3×Wn)≦2[(n-1)2/4] [n/2] 5,然后利用数学归纳法证明Cr(S3×Wn)≧2[(n-1)2/4] [n/2] 5,从而确定了S3与Wn的笛卡尔积交叉数即Cr(S3×Wn)=2[(n-1)2/4] [n/2] 5.     

Synthesis and Crystal Structure of New Supramolecular Adducts of[PtCl_6]~(2-) with Cucurbit [7] uril:[(H_3O)_2 [PtCl_6]_3 [C_(42)H_(42)N_(28)O_ (14)_2·H_2O

0　IntroductionCucurbit [n]urils (Qn ,Fig .1.)arecyclicoligomersofnunitsofglycolurillinkedby 2nmethylenebridgesderivedfromformaldehyde.Theypossessacharacteristicannularshape,withtwoidenticalcarbonyl fringedportals[1 ,2 ] .Themostcom moncucurbituril,Q6 ,wasreportedtoaccommodatedifferentguestssuchaswater[3] ,THF[4 6] ,xenon[7] ,pyridium[8] andp xylyenediammonium[3] ionsandsoon .ThealkyldiaminesthreadthroughtheQ6 ,andformtherotaxanestructures[9 1 3] .Metalions[1 ,3 6 ,1 4 ,1 5] andclusters[8,…     

Algebraic characterization of RNA operations for DNA-based computation

In 1994 ,AldemansuccessfullyintroducedDNA basedcomputingasanapproachtosolvingmathemat icalproblems[1] ,whichusesDNAasadatacarrierandtechniquesofmolecularbiologytooperateonDNA .FollowingAdleman ,DNAalgorithmshavebeenfoundtosolveother problems :expansionofsymbolicdeterminants[2 ] ,matrixmultiplication[3] ,addition[4 ] ,exascalecomputeralgebra[5] ,andsoon .Liptonetal.introducedanewmethodforcon structionofbinarynucleicacidlibraries[6 ] ,andtheyintroducedRNAasamoleculeforcomputationtopre sent…     

Synthesis and X-ray crystal structure of a new manganese 18-metallacrown-6

0　IntroductionThemetalionsinmetallamacrocylesformedbysupramolecularself assemblycantaketrigonal,square planar,andtetrahe dralconfiguration[1 ,2 ] .Metallacrownisaspecialclassofmetalla macrocyle,theyareanalogoustocrownethersinbothstructureandfunctionexceptthatthemetalionsarenowtakingthepositionsofcoordinationatomsincrownether[3,4] .Themetallacrownswithdifferentnumberof [M—N—O]repeatunithavedifferentcavitysizes,suchas 9 MC 3[5 7] ,12 MC 4 [4,8 1 4 ] and 15 MC 5 [1 5] .Thereportedazameta…     

含N-吗啉乙基茚基配体镱金属配合物的合成、表征及催化性能的研究

用化合物3-[O(CH2CH2)2NCH2CH2]C9H7(1)与1当量的n-BuLi反应接着再与过量的Me3SiCl反应,以90%的产率得到1-Me3Si-3-[O(CH2CH2)2NCH2CH2]C9H6(2).化合物1、2分别以当量比2:1与化合物[(Me3Si)2N]3YbⅢ(μ-Cl)Li(THF)3在甲苯中回流反应,分别以65%和55%的产率得到二价镱化合物[η5:η1-O(CH2CH2)2NCH2CH2C9H6]2YbⅡ(3)和[η5:η1-O(CH2CH2)2NCH2CH2C9H5SiMe3]2YbⅡ(4).化合物2,3,4经过波谱及元素分析表征确认.研究了配合物3和4作为单一组分催化剂催化己内酯聚合反应的催化活性.     

Sol-gel-coated calix[4]arene fiber for solid-phase microextraction

Solid phasemicroextraction (SPME) [1 ] isaninnovativesamplepreconcentrationtechniqueandhasgainedawidespreadacceptanceinmanyareas.Uptonow ,thedevelopmentofnewfibercoatingsisstillacrucialaspect.Calixarenesareregardedasthethirdgenerationofsupramoleculesnexttocrownethersandcyclodextrins.TheyhavebeenwidelyusedandtheirapplicationsasGC[2 ] ,HPLC[3] andCE[4] stationaryphasehaveinterpretedspecialselectivity .Inthisstudy ,thesynthesized 5 ,11,17,2 3 tetra tert butyl 2 5 ,2 7 diethoxy 2 6 ,2 8 dihyd…     

有机杂化硫代锑酸盐化合物[Co（en）3]（Hen）SbS4和[Ni（en）3]2Sb2S5的溶剂热合成及晶体结构

利用溶剂热法合成2种有机杂化硫代锑酸盐化合物[Co(en)3](Hen)SbS4(1)和[Ni(en)3]2Sb2S5(2)(en=乙二胺),它们的结构经IR、元素分析和单晶x-射线衍射表征。1是由孤立四面体[SbS4]3-阴离子、质子化有机胺[Hen]+和配阳离子[Co(en)3]2+组成,而2是由孤立二聚阴离子[Sb2S5]4-和配阳离子[Ni(en)3]2+组成.     

一类二阶常微分方程全局稳定的充要条件

文[1],[2],[3],[4]先后研究了方程:■的零解为全局稳定的充要条件.本文利用文[5]中的变换,研究了比上述各方程更广泛的一类方程:■的零解为全局稳定的充要条件,推广了文[1],[2],[3]的有关结果,并严格了有关的证明.引理1     

胍基稀土硼氢化物的催化聚合性能

研究了胍基稀土硼氢化物 [Ph2NC（NCy）2]Ln（BH4）2 [Ph=C6H5, Cy=C6H11, Ln=Er（1）、Yb（2）]、 [（Me3Si）2NC（NCy）2]Ln（BH4）2 [Ln=Er（3）、 Yb（4）] 和 [（Me3Si）2NC（NCy）2]2LnBH4 [Ln=Er（5）, Yb（6）]催化甲基丙烯酸甲酯的聚合性能，其活性顺序为5〉6〉3〉4～1～2，说明胍基配体的供电性越强，配合物的催化活性越高。还研究了1和2催化丙烯腈聚合的性能。实验表明，胍基稀土硼氢化物也是催化丙烯腈聚合的良好催化剂。     

傣药坡扣的脑苷类成分

对傣药坡扣Homalomena gigantea化学成分进行了研究.采用硅胶柱色谱、HPLC等方法分离纯化,通过波谱分析技术鉴定化合物结构.结果表明:从傣药坡扣中分离得到5个脑苷类化合物,分别鉴定为:1-O-β-D-glueopyranosyl-(2S,3R,4E,8Z)-2-[2'(R)-hydroxyhexadecanoyl-amino]-4,8-octadecadiene-1,3-diol(1)、1-O-β-D-glucopyranosyl-(2S,3R,4E,8Z)-2-[2'(R)-hydroxyoctadecanoyl-amino]-4,8-octadecadiene-1,3-diol(2)、1-O-β-D-glucopyranosyl-(2S,3R,4E,8Z)-2-[2'(R)-hydroxyicosanoyl-amino]-4,8-octadecadiene-1,3-diol(3)、1-O-β-D-glucopyranosyl-(2S,3R,4E,8Z)-2-[2'(R)-hydroxydocosanoyl-amino]-4,8-octadecadiene-1,3-diol(4)、1-O-β-D-glucopyranosyl-(2S,3R,4E,8Z)-2-[2'(R)-hydroxytetracosanoyl-amino]-4,8-octadecadiene-1,3-diol(5).化合物2～5为首次从该属植物中分离得到.     

无机-有机杂化钼磷、钒钼磷多酸化合物的合成与结构

通过对V2 O5 ,Na2 MoO4·2H2 O ,HF ,Ni(NO3) 2 ·6H2 O ,H3PO4和吡啶体系水热反应的研究 ,合成并表征了无机 -有机杂多酸化合物 [C5 H6 N] 3[C5 H5 N][PMo12 O40 ] ( 1 ) ,[C5 H6 N] 4[PVMo11O40 ] ( 2 )和 [C5 H6 N] 4[HPV2 Mo10 O40 ] ( 3 ) .化合物( 1 )属单斜晶系 ,C/ 2c空间群 ,a =2 .1 867( 6)nm ,b =1 .3 978( 4)nm ,c =1 .663 3( 3 )nm ,β =1 0 5.73 ( 1 0 )°,V =4 .893nm3,R =0 .0 60 4 ,Z =4 ;化合物 ( 2 )属单斜晶系 ,C/ 2c空间群 ,a =2 .1 858( 4)nm ,b =1 .3 971 ( 3 )nm ,c =1 .663 5( 3 )nm ,β =1 0 5.83 ( 3 )°,V =4 .8873 ( 1 7)nm3,Z =4 ,R =0 .0 4 63 ;化合物 ( 3 )属单斜晶系 ,P2 1n空间群 ,a =1 .1 1 2 2 ( 2 )nm ,b =1 .94 1 2 ( 3 )nm ,c=1 .2 4 84 ( 3 )nm ,β =99.89( 3 )°,V =2 .6565( 9)nm3,Z =2 ,R =0 .0 690 .     

Gas-Phase Beckmann Rearrangement of Cyclohexanone Oxime over B-ZSM-5 Derived Titanosilicalite

IntroductionDue to its remarkable catalysis,titanosilicalite hasattracted considerable attention[13 ] . Titano-silicalite- 1 prepared by hydrothermal synthesis[4]exhibits much better catalytic performance for thegas- phase Beckmann rearrangement ofcyclohexanone oxime ( CHO ) into lactam thanother solid catalysts,such as silicalite- 1 [4] ,B2 O3 /Zr O2 [5] ,Ta2 O5/ Si O2 [6] ,HZSM- 5 [7] ,Hβ[8] ,andHMCM- 41 [9] .However,it is surprising that onlytwo papers have been published on the re…     

Discussion on the relationship between Δ V_(EB) and I_E presented in thermal resistance standard IEC60747-7 Version 2000

ThethermalresistancestandardinIEC74 7 7iswidelyacceptedandhasbeenusedtillnow .Itwaspublishedin 1988,andconfirmedin 1994and 2 0 0 0 ,respectively .ThethermalresistancestandardinGB/T 4 5 87 94ofChina[1] wasbasedontheIEC 74 7 7[2 ] .TheBSIEC 6 0 74 7 7:2 0 0 0 [3] ofUnitedKing domalsocamefromtheIEC 74 7 7.Fig .1(a)showsthecorrespondingFigs . 2 3and 2 4inIEC 74 7 7.Fig .2 3hastwoI Vcurves ,whichareI Vcurvesoftheemittercurrent (IE)andemitter basevoltage(VEB)atthejunctiontemperaturesT(…     

济南大学学报(自然科学版)第19卷(2005年)总目录

·材料科学·[1]沈业青,芦令超,常钧,等.C3S-C2.75B1.25A3S-C2S-C3A-B2O3体系熟料组成与性能的研究[J].济南大学学报(自然科学版),2005,19(1):1-4.[2]王传平,常钧,黄世峰,等.微量元素Cr对硫铝酸钡钙的合成及性能的影响[J].济南大学学报(自然科学版),2005,19(1):5-7.[3]苏磊,衣朝华,翟国芳,等.磷铝酸盐与硅酸盐复合水泥的正交试验研究[J].济南大学学报(自然科学版),2005,19(1):8-11.[4]成立,王善拔,余其俊,等.预拌混凝土的缓凝问题及其预防措施[J].济南大学学报(自然科学版),2005,19(1):12-16.[5]王玲,张振伟,胡玉芬,等.玻璃上透明纳…     

含四溴合铜配阴离子的复合季鏻盐的制备、晶体结构和抗菌活性

以溴化铜和溴化苄基三苯基鏻盐为原料,在含有氢溴酸的甲醇溶液中合成了1种含四溴合铜配阴离子的苄基三苯基季鏻盐[BnTPP]_2[CuBr_4]·2H_2O([BnTPP]~+为苄基三苯基鏻鎓离子),通过元素分析、红外光谱、紫外-可见光谱、电子喷雾质谱和X-射线单晶衍射对其进行了组成分析和结构表征.结果表明:合成的季鏻盐[BnTPP]_2[CuBr_4]·2H_2O属于单斜晶系,空间群P2(1),晶胞参数为:a=0.871 6(1)nm,b=1.641 5(2)nm,c=1.646 8(2)nm,β=96.156(3)°,V=2.342 5(4)nm~3,Z=2,Dc=1.596 g/cm3,GOOF=1.032,R1=0.046 8,wR2=0.096 4.季鏻盐由1个[CuBr_4]~(2-)阴离子、2个[BnTPP]~+阳离子和2个水分子组成,相邻阳离子通过苯环之间的π…π堆积作用形成了二聚体;晶体中的C—H…Br、O—H…Br和C—H…O氢键使整个分子形成了网状结构.抗菌活性表明,[BnTPP]_2[CuBr_4]比[BnTPP]~+Br~-对大肠杆菌和金葡萄球菌具有更好的抗菌活性.     

再论本原指标缺数

本文在[1]、[2]的基础上,对s≥5时,s-3s+4,s~2-3s+3,s~2-3s+2以及s~2-3s+1到s~2一4s+7这一区段内的本原指标缺数的情形进行了讨论,得到了明确的结论。同时,又对[1]中的一些结论重新给出了较为简洁的证明。     

对称群Sn、交代群An的生成系及An(n≥5)单纯性证明的改进

n次对称群S_n(n≥2)可以由n-1个2项循环生成:n次交代群An(n≥3)可以由n-2个3项循环生成: 本文在[1]、[2]的基础上给出S_n(n≥4)与A_n(n≥5)的新生成系,它们分别由4项循环与5项循环组成。应用这个结果,还对交代群A_n(n≥5)的单纯性的证明作了改进。     

Optimum Combined Lenses for Confocal Biochip Scanning System

IntroductionLaboratory-on-a-chip technology[1 5] has gainedinterest in recent years,and consists of threeclassic steps:sample preparation,biochemicalreaction,and detection analysis.Many researchgroups have used small biochips to studypolymerase chain reaction (PCR) amplification[1 ] ,DNA sequencing[2 ] ,ligase chain reaction(LCR) [3] ,dielectrophoresis of cell separation,andcapillary electrophoresis[4 ,5] .Some importantbiochip detection systems[6 8] have been developed,such as the dual-la…     

Optimal portfolio rules with habit formation and preference for wealth

0　IntroductionWhenthepricesofriskyassetssatisfythegeometricBrow nianmotionandtheinvestor’sutilityfunctionisamem beroftheHARAfamily ,Mertoncompletelysolvedtheconsump tionportfolioproblem [1 2 ] .Buttheequitypremium puzzle[3] andtherisklessinterestratepuzzle[4] meanthatthesimpleHARAfamilyu tilityfunctioncannotdescribetheinvestor’scomplexbehavior,sotheutilityfunctionhastobeextendedtomoregeneralcase.Zoufirstintroducesthepreferenceforwealthbylettingthewealthasanargumentofutilityfunction[5] …     

几个二价稀土金属配合物的催化甲基丙烯酸甲酯聚合反应活性研究

研究了二价稀土金属配合物(η5:η1-C9H6CH2CH2CH2NMe2)2YbII(1),[{η5:η5:η1-(C9H5CH2SiMe2NC4H8)2}EuI2I(μ-Cl)]2[μ-η3:η5:η1:η3:η5:η1-(C9H5CH2SiMe2NC4H8)2].C7H8.(C6H6)0.5(2),and[η5:η1-C9H6CH2SiMe2NC4H8]2YbII(3)催化甲基丙烯酸甲酯聚合活性.探索了催化剂与MMA单体摩尔比、溶剂的极性、温度对MMA聚合反应的影响.