简介:Inthispaper,analmostP-stabletwo-stepsixth-orderHybridmethodwithphase-lagoforderinfinityandaclassexpliciteighth-orderObreckoffmethodswithphase-lagoforder10-24aredevelopedforthenumericalintegrationofthespecialsecond-orderperiodicinitial-valueproblems.Thesemethodshavetheadvantageofhigheralgebraicorderandconsiderablysmallerphase-tagcomparedwithsomemethodsin[1-6].Numericalexamplesindicatethatthesenewmethodsaremoreaccuratethanmethodsdevelopedby[1-6].
简介:Thetransitionsandmorphologyofaseriesofmain-chainliquidcrystallinepolymerwithX-shapedmesogenswerestudiedbymeansofDSC,SALSandpolarizingmicroscopytechniques.Aneven-oddeffectwasobservedforsampleswithdifferentsizeofthesubstituentsonthemesogenends.Theisotropizationprocesswassimilartothatofmain-chainpolymerswithrod-likemesogens.Nocrystallizationwasdetectedforspecimenscoolingdownfromtheirisotropicmeltstate.Howevertwoofthesamplesmaycrystallizeincoolingprocessdirectlyfromtheliquidcrystallinestate.
简介:Tungstenisregardedasanimportantcandidateofplasmafacingmaterialininternationalthermonuclearexperimentalreactor(ITER),sothedeterminationandmodelingofspectraoftungstenplasma,especiallythespectraathightemperaturewereintenselyfocusedonrecently.Inthiswork,usingtheatomicstructurecodeofCowan,acollisionalradiativemodel(CRM)basedonthespin-orbit-split-arraysisdeveloped.Basedonthismodel,thechargestatedistributionoftungstenionsisdeterminedandthesoftX-rayspectrafromhighchargedionsoftungstenatdifferenttemperaturesarecalculated.Theresultsshowthatboththeaverageionizationchargeandlinepositionsarewellagreedwithotherscalculationsandmeasurementswithdiscrepanciesoflessthan0.63%and1.26%,respectively.Thespectraathighertemperaturesarealsoreportedandtherelationshipbetweenionabundanceandtemperatureispredictedinthiswork.
简介:LetL~2([0,1],x)bethespaceoftherealvalued,measurable,squaresummablefunctionson[0,1]withweightx,andlet■_nbethesubspaceofL~2([0,1],x)definedbyalinearcombinationofJ_0(μ_kx),whereJ_0istheBesselfunctionoforder0and{μ_k}isthestrictlyincreasingsequenceofallpositivezerosofJ_0.Forf∈L~2([0,1],x),letE(f,■_n)betheerrorofthebestL~2([0,1],x),i.e.,approximationoffbyelementsof■_n.Theshiftoperatoroffatpointx∈[0,1]withstept∈[0,1]isdefinedbyT(t)f(x)=(1/π)∫_0~πf((x~2+t~2-2xtcosθ)~(1/2))dθ.Thedifferences(1-T(t))~(r/2)f=∑_(j=0)~∞(-1)~j(_j~(r/2))T~j(t)foforderr∈(0,∞)andtheL~2([0,1],x)-modulusofcontinuityω_r(f,τ)=sup{||(I-T(t))~(r/2)f||:0≤t≤τ}oforderraredefinedinthestandardway,whereT~0(t)=Iistheidentityoperator.Inthispaper,weestablishthesharpJacksoninequalitybetweenE(f,■_n)andω_r(f,τ)forsomecasesofrandτ.Moreprecisely,wewillfindthesmallestconstant■_n(τ,r)whichdependsonlyonn,r,andτ,suchthattheinequalityE(f,■_n)≤■_n(τ,r)ω_r(f,τ)isvalid.
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简介:GrazingincidentX-raydiffractionatdifferentgrazinganglesforself-organizedGedotsgrownonSi(001)arecarriedoutandlatticeconstantexpansionsof1.2?paralleltothesurfaceascomparedwiththeSilatticearefoundwithintheGedots.A3.1?latticeexpansionoftheGedotsalongthegrowthdirectionisalsofundbyordinaryX-ray(004)diffraction.AccordingtothePoissonequationandtheVegardlaw,ourresultsinferthattheGedotshouldbeapartiallystrainrelaxedSiGealloywithGecontentofabuot55?2001ElsevierScienceB.V.Allrightsreserved.
简介:WereportQ-switchedandmode-lockederbium-dopedall-fiberlasersusingternaryReS2(1-x)Se2xassaturableabsorbers(SAs).ThemodulationdepthandsaturableintensityofthefilmSAare1.8%and0.046MW∕cm2.InQ-switchedmechanismoutput,thepulsewascenteredat1531.1nmwithmaximumpulseenergyandminimumpulsewidthof28.29nJand1.07μs,respectively.Inmode-lockedoperation,thepulsewascenteredat1561.15nmwithpulsewidthof888fs,repetitionrateof2.95MHz,andmaximumpulseenergyof0.275nJ.Tothebestofourknowledge,thisisthefirstreportonthemode-lockedEr3+-dopedfiberlaserusingternarytransitionmetaldichalcogenides.Thisworksuggestsprospective2D-materialSAscanbewidelyusedinversatilefieldsduetotheirattractiveoptoelectronicandtunableenergybandgapproperties.
简介:QuantumdynamicscalculationsforthetitlereactionH(2S)+S2(X3-Σg)→SH(X2Π)+S(3P)areperformedbyusingagloballyaccuratedoublemany-bodyexpansionpotentialenergysurface[J.Phys.Chem.A1155274(2011)].TheChebyshevrealwavepacketpropagationmethodisemployedtoobtainthedynamicalinformation,suchasreactionprobability,initialstate-specifiedintegralcrosssection,andthermalrateconstant.Itisfoundnotonlythatthereisareactionthresholdnear0.7eVinbothreactionprobabilitiesandintegralcrosssectioncurves,butalsothatboththeprobabilityandcrosssectionincreasefirstlyandthendecreaseasthecollisionenergyincreases.Theexistenceoftheresonancestructureinboththeprobabilityandcrosssectioncurvesisascribedtothedeeppotentialwell.Thecalculationoftherateconstantrevealsthatthereactionoccurringonthepotentialenergysurfaceoftheground-stateHS2isslowtotakeplace.