简介:Thediffusionbehaviorofpolystyrenewithnarrowmolecularweightdistributionat20℃in1,4-dioxanewasinvestigatedbythephotoncorrelationspectroscopy.Thecumulantmethodwasemployedfortheanalysisoftheintensity-intensityautocorrelationfunctionmeasuredoverawiderangeofthescatteringvector.ThediffusioncoefficientDwasdeterminedasthefunctionofconcentrationCinthemolecularweightrangeof3.0×104-1.20×106.Inalowconcentrationrange,DwasfoundtobelinearlydependentonC,whichhasbeenfoundforsomeothersystems.ThedependenceofDonmolecularweightatinfinitedilutioncanbewrittenasanempiricalformulaD0=kDM-γM,theexponentγ(0.576±0.01)isingoodagreementwiththeresultofthescalingtheory.
简介:Letf(x)∈C[-1,1],pn*(x)bethebestapproximationpolynomialofdegreentof(x).G.Iorentzconjecturedthatifforalln,p2n*(x)=p2n+1*(x),thenfiseven;andifp2n+1*(x)=p2n+2*(x),po*(z)=0,thenfisodd.Inthispaper,itisprovedthat,undertheL1-norm,theLorentzconjectureisvalidconditionally,i.e.if(i)(1-x2)f(x)canbeextendedtoanabsolutelyconvergentTehebyshevsories;(ii)foreveryn,f(x)-p2n+1*(x)hasexactly2n+2zeros(or,inthearcondsituation,f(x)-p2n+2*(x)hasexaetly2n+3zeros),thenLorentzconjectureisvalid.
简介:Wereportonanunexplainedhighstatisticssignalthatmayindicatetheexistenceofasuperlightscalarboson[1].Thequestionwhetherthereexistsa(scalar)bosonwithamassofabout38MeVdoesnotdependexclusivelyontheexistenceofaresonance-likestructure(Fig.1)intheexperimentaldataofRef.[2],yetitisatpresenttheclearestsignalwehavefoundinmanyexperiments.
简介:A.simplicialmesh(triangulation)isconstructedthatgeneralizesthetwo-dimensional4-directionmeshtoR~m.Thismesh,withsymmetric,shift-invariantvaluesatthevertices,isshowntoadmitaboundedC~1interpolantifandonlyifthealternatingsumofthevaluesattheverticesofany1-cubeiszero.Thisim-pliesthaiinterpolationattheverticesofanm-dimensional,simplicialmeshbyaC~1piecewisepolynomialofdegreem+1withonepiecepersimplexisunstable.
简介:AdetailedstudyofthepressureoscillationinducedbythefilmboilingofHeⅡispresented.Thefilmboilingstateandthestabilitynofthevapourfilmaredeterminedbythegoverningparameter(i.e.theimmersiondepth).Itisfoundthatthepowerdensityspectrumofthepressureoscillationinducedbythefilmboilingdisplaysthe1/f^α-behaviour.Theexponentαwasfoundtobewithintherangefromonetotwo,whichindicatestheexistenceofself-organizedcriticalityinthefilmboilingofHeⅡ.
简介:Promotedbystannoussalts,1,1,1-trichloro-2,2,2-trifluoroethanereactsreadilywithaliphatic,aromatic,andα,β-unsaturatedaldehydesgivingthecorrespondingalcoholsbearingaCF3CCl2-moietyingoodtoexcellentyields.ThesealcoholsarefartheroxidizedbyJonesreagentgivingthecorrespondingketonesinhighyields.
简介:Westudytheentanglementinanisotropic(1/2,1)mixed-spinHeisenbergXYmodelunderthepresenceofanexternalmagneticfieldatthermalequilibrium.Byadjustingtheanisotropicparameterandthemagneticfield,oneisabletoobtainentanglementathighertemperature.Wefindtheevidenceofthequantumphasetransitioninthemodelandobservethatthequantumphasetransitionpointatlowtemperaturemovestowardweakmagneticfieldwiththeincreaseoftheanisotropicparameter.
简介:研究了电感耦合等离子体原子发射光谱(ICP-AES)法测定南红玛瑙中As、Cd、Cr、Pb、Sb元素含量的分析方法。通过对前处理方法的选择、分析线的选择、基体干扰方面的研究,确定了分析条件,并对比研究了标准曲线法与标准加入法在测定方面的异同。标准加入法与标准曲线法的测定结果相近,但标准曲线法的测定结果总是比标准加入法的测定结果小。在标准加入法中,各元素加标回收率在93.6%~103%,测定值的相对标准偏差(RSD,n=6)小于10%;在标准曲线法中,各元素加标回收率在90.2%~103%,各元素的相对标准偏差(RSD,n=6)也均小于10%。基体效应对标准曲线法测定存在一定的影响,但不十分明显。标准加入法可以很好地减轻基体效应的干扰,但不可大批量测定样品。因此,在分析控制质量要求允许范围内,可采用标准曲线法对南红玛瑙中剧毒元素As、Cd、Cr、Pb、Sb的含量进行测定。