Inthispaper,theGibbs Appell (G A)equationsforvariablemassholonomicsystemswereestablished ,thenthedefinitionandcriterionoftheforminvarianceofG Aequationsundertheinfinitesimaltransformationsofgroupsweregiven .Next,acon servedquantitycanbededucedbyusingthisforminvarianceundercertainconditions,andanexamplewasgiven
Inthispaper,theGibbs Appell (G A)equationsforvariablemassholonomicsystemswereestablished ,thenthedefinitionandcriterionoftheforminvarianceofG Aequationsundertheinfinitesimaltransformationsofgroupsweregiven .Next,acon servedquantitycanbededucedbyusingthisforminvarianceundercertainconditions,andanexamplewasgiven
Inthispaper,inafirst orderapproximation ,weobtaintheeffectsofperturbationsonastationarysolitonforTDGLE (timedependentginzburg landauequation) .Namely ,weobtainthesolitonparametervariationandthegeneralexpressionofthefirst or dercorrection .Atthesametime,wegivetheexactexpressionofaspecialexample
Inthispaper,inafirst orderapproximation ,weobtaintheeffectsofperturbationsonastationarysolitonforTDGLE (timedependentginzburg landauequation) .Namely ,weobtainthesolitonparametervariationandthegeneralexpressionofthefirst or dercorrection .Atthesametime,wegivetheexactexpressionofaspecialexample
InthispapertheJacobiellipticfunctionexpansionmethodisextendedtothefiniteexpansionfortheappliedJacobicosineellipticfunctionorthethirdkindofJacobiellipticfunctiontoconstructthenewperiodicsolutionsofnonlinearwaveequations.Theperiodicsolutionsobtainedbythismethodcanbereducedtothesolitarywavesolutionsunderthelimitcondition.
InthispapertheJacobiellipticfunctionexpansionmethodisextendedtothefiniteexpansionfortheappliedJacobicosineellipticfunctionorthethirdkindofJacobiellipticfunctiontoconstructthenewperiodicsolutionsofnonlinearwaveequations.Theperiodicsolutionsobtainedbythismethodcanbereducedtothesolitarywavesolutionsunderthelimitcondition.
Quantumerrorcorrectioncodingtechnologyisofgreatimportanceforquantumcommunicationaswellasquantumcomputa tion .Nearlyalloftheclassicalerrorcorrectioncodingschemeshave ,forthetimebeing,beentransplantedtothedomainofquantuminformation ;nevertheless,themostoutstandingschemeinclassicalcodingregion ,turbocode ,stilllacksthequantumanalo gytillnow .Wehavecompletedasimpleschemeofquantumrecursivesystematicconvolutionalcodebymeansofquantumregisternetwork .Atthesametime,akindofefficientquantuminterweaverisconstructedusingonlyquantumSWAPgates.AlsoaseriallyconcatenatedquantumTurbocodeisdevelopedbyanalogytotheclassicalTurbocode .Aslimitedbythequantumnon -cloningtheorem ,theproposedquantumturbocodeisseriallyconcatenated .Quantumturbocodemaynotonlyextendtheresearchareaofquantumerrorcorrectioncodingtechnology,butalsosolvethepuzzleinclassicalcodingtheory.
Quantumerrorcorrectioncodingtechnologyisofgreatimportanceforquantumcommunicationaswellasquantumcomputa tion .Nearlyalloftheclassicalerrorcorrectioncodingschemeshave ,forthetimebeing,beentransplantedtothedomainofquantuminformation ;nevertheless,themostoutstandingschemeinclassicalcodingregion ,turbocode ,stilllacksthequantumanalo gytillnow .Wehavecompletedasimpleschemeofquantumrecursivesystematicconvolutionalcodebymeansofquantumregisternetwork .Atthesametime,akindofefficientquantuminterweaverisconstructedusingonlyquantumSWAPgates.AlsoaseriallyconcatenatedquantumTurbocodeisdevelopedbyanalogytotheclassicalTurbocode .Aslimitedbythequantumnon -cloningtheorem ,theproposedquantumturbocodeisseriallyconcatenated .Quantumturbocodemaynotonlyextendtheresearchareaofquantumerrorcorrectioncodingtechnology,butalsosolvethepuzzleinclassicalcodingtheory.
Byusingthemethodofquantumstatistics,wedirectlyderivethepartitionfunctionofthebosonicandermionicfieldonblackplaneandobtaintheintegralexpressionoftheblackplane’sentropy,whichavoidsthedifficultyinsolvingthewaveequationofvariousparticles.Thenviatheimprovedbrick -wallmethod,membranemodel,wecalculatetheblackplane’sentropyandfindoutthatifwelettheintegralupperandlowerlimitsbothtendtothehorizon ,theentropyoftheblackplaneisproportionaltotheareaofhorizon.Inourresult,thestrippedtermandthedivergentlogarithmictermintheoriginalbrick -wallmethodnolongerexist.Inthewholeprocess,wedonottakeanyapproximation .Weofferanewsimpleanddirectwayofcalculatingtheentropyofdifferentcomplicatedblackholes.
Byusingthemethodofquantumstatistics,wedirectlyderivethepartitionfunctionofthebosonicandermionicfieldonblackplaneandobtaintheintegralexpressionoftheblackplane’sentropy,whichavoidsthedifficultyinsolvingthewaveequationofvariousparticles.Thenviatheimprovedbrick -wallmethod,membranemodel,wecalculatetheblackplane’sentropyandfindoutthatifwelettheintegralupperandlowerlimitsbothtendtothehorizon ,theentropyoftheblackplaneisproportionaltotheareaofhorizon.Inourresult,thestrippedtermandthedivergentlogarithmictermintheoriginalbrick -wallmethodnolongerexist.Inthewholeprocess,wedonottakeanyapproximation .Weofferanewsimpleanddirectwayofcalculatingtheentropyofdifferentcomplicatedblackholes.
Dynamicdescriptionisgivenofthephenomenaofdropletcondensation .Thechangeofthechemiclpolentialisdiscussedfortwotypesofliquiddroplets.TheconditionfortheBrownaggregationtooccurisalsoobtained .Combiningallthesewiththedropoffradius,theoptimalcomtactanglecanthenbedetermined.
Dynamicdescriptionisgivenofthephenomenaofdropletcondensation .Thechangeofthechemiclpolentialisdiscussedfortwotypesofliquiddroplets.TheconditionfortheBrownaggregationtooccurisalsoobtained .Combiningallthesewiththedropoffradius,theoptimalcomtactanglecanthenbedetermined.
Usingthedistance dependenttight bindingmoleculardynamicsmodel(DDTB MD) ,theNa6 (2D) +Na8,Na6 (3D) +Na8collisiondynamicprocesseshavebeenstudiedfordifferentincidentenergiesanddifferentimpactparameters.Differentreactionmechanismshavebeenobserved ,suchasfusionreaction ,deepinelasticandquasi elasticcollisions,whicharesimilartothenuclearheavy ioncollisions.Thisshowsthattheclusterswithdifferentgeometricstructurescollidingwithidenticalclusterscanproducedifferentnewclusters.Atlowerincidentenergycentralcollisions,Na6 (3D)canformastablecluster;atleV nhalfcentralcollision ,Na6 (3D)iseasytoformalargercluster.
Usingthedistance dependenttight bindingmoleculardynamicsmodel(DDTB MD) ,theNa6 (2D) +Na8,Na6 (3D) +Na8collisiondynamicprocesseshavebeenstudiedfordifferentincidentenergiesanddifferentimpactparameters.Differentreactionmechanismshavebeenobserved ,suchasfusionreaction ,deepinelasticandquasi elasticcollisions,whicharesimilartothenuclearheavy ioncollisions.Thisshowsthattheclusterswithdifferentgeometricstructurescollidingwithidenticalclusterscanproducedifferentnewclusters.Atlowerincidentenergycentralcollisions,Na6 (3D)canformastablecluster;atleV nhalfcentralcollision ,Na6 (3D)iseasytoformalargercluster.
WepresentanewQuasi Λ model four levelsystembasedonageneralthree levelΛ modelandinvestigatetheresonantfluorescencespectroscopyindetail.Therearethreeultra narrowspectrallinesinthespontaneousemissionspectrafromupperleveltolower lyinglevelsofthetwoemissionchannels,whichoccuroverawiderangeoftheparameters.Theappearanceofthethreeultra narrowspectrallinesiscloselyrelatedwithRabifrequencyofthetwocoherencedrivingfields;andthelargertheRabifrequency ,thenarrowerthelines.Theeffectoflinenarrowingdoesn’toccurwhenthereisonlyacoherencedrivingfield .Whiletheincoherenttransitionandthecollisionaldecaybetweentheenergylevelsdestroythefeatureofthespectralnarrowingwhichmaybeconsideredtobetheresultofthemulti channelquantuminterference.
WepresentanewQuasi Λ model four levelsystembasedonageneralthree levelΛ modelandinvestigatetheresonantfluorescencespectroscopyindetail.Therearethreeultra narrowspectrallinesinthespontaneousemissionspectrafromupperleveltolower lyinglevelsofthetwoemissionchannels,whichoccuroverawiderangeoftheparameters.Theappearanceofthethreeultra narrowspectrallinesiscloselyrelatedwithRabifrequencyofthetwocoherencedrivingfields;andthelargertheRabifrequency ,thenarrowerthelines.Theeffectoflinenarrowingdoesn’toccurwhenthereisonlyacoherencedrivingfield .Whiletheincoherenttransitionandthecollisionaldecaybetweentheenergylevelsdestroythefeatureofthespectralnarrowingwhichmaybeconsideredtobetheresultofthemulti channelquantuminterference.
WehavecalculatedtheintensitydistributioninthefocalregionofalaserbeamwithasuperGaussianprofiletruncatedbyacircularaperture.Usingthecalculatedtheoreticalionizationvolumeversusthelaserintensity ,themultipleionizationyieldsofatomsproducedbythetruncatedlaserbeamisstudied .Asanexample,theyieldsofmultiplychargedionsofxenonarecalculat edforfocusedintensitiesintherangeof1 0 1 3 to 1 0 1 6 W cm2 .OscillationsandsuppressionsintheyieldcurvesbecomeobviouslywiththeincreaseofthetruncationsofasupperGaussianbeam .Foralargen,suchasn >2 ,orforstrongtruncations,suchasρa=1 ,ofthesupperGaussianbeam ,theshapeofmultipleionizationyieldsshowslessdependenceonn.Theseoscillationsandsuppressionsinthecalculatedyieldcurvesmaybeusedtoexplaintheexperimentalresultformultiplychargedionsofxenon.
WehavecalculatedtheintensitydistributioninthefocalregionofalaserbeamwithasuperGaussianprofiletruncatedbyacircularaperture.Usingthecalculatedtheoreticalionizationvolumeversusthelaserintensity ,themultipleionizationyieldsofatomsproducedbythetruncatedlaserbeamisstudied .Asanexample,theyieldsofmultiplychargedionsofxenonarecalculat edforfocusedintensitiesintherangeof1 0 1 3 to 1 0 1 6 W cm2 .OscillationsandsuppressionsintheyieldcurvesbecomeobviouslywiththeincreaseofthetruncationsofasupperGaussianbeam .Foralargen,suchasn >2 ,orforstrongtruncations,suchasρa=1 ,ofthesupperGaussianbeam ,theshapeofmultipleionizationyieldsshowslessdependenceonn.Theseoscillationsandsuppressionsinthecalculatedyieldcurvesmaybeusedtoexplaintheexperimentalresultformultiplychargedionsofxenon.
Silvernanoparticleswithdifferentdiametersweresynthesizedbymicroemulsionmethod ,inwhichtheeffectoftolueneorcyclohexaneasanoilphaseontheparticlesizeanditsdistributionwasdetected .Silvernanoparticleswerenear spherical,bothmulticrystalsandtwinswereobserved.Latticedeformationsexistedindifferentdegreesbecausetheinterplanarspacedwasincreased.Thefluorescencespectrafordifferentsizesilvernanoparticlesdispersedinorganicsolventsweremeasured.Therearethreeemissionpeaksforsilvernanoparticles chloroformsystems,whilenofluorescenceemissionwasfoundwhensilvernanoparticlesdispersedintoluene .Thefluorescenceintensityvarieswithparticlesizeofthesilvernanoparticles,whichoriginatesfromAg2 ,Ag3 clustersonthesilverparticlesurfaceproducedbytheinteractionbetweensilverandchloroformunderUVradiation .Thereactivityandthenumberofsurfacereactivecentersvarywithsilverparticlesize,resultinginthedifferentfluorescencephenomena.
Silvernanoparticleswithdifferentdiametersweresynthesizedbymicroemulsionmethod ,inwhichtheeffectoftolueneorcyclohexaneasanoilphaseontheparticlesizeanditsdistributionwasdetected .Silvernanoparticleswerenear spherical,bothmulticrystalsandtwinswereobserved.Latticedeformationsexistedindifferentdegreesbecausetheinterplanarspacedwasincreased.Thefluorescencespectrafordifferentsizesilvernanoparticlesdispersedinorganicsolventsweremeasured.Therearethreeemissionpeaksforsilvernanoparticles chloroformsystems,whilenofluorescenceemissionwasfoundwhensilvernanoparticlesdispersedintoluene .Thefluorescenceintensityvarieswithparticlesizeofthesilvernanoparticles,whichoriginatesfromAg2 ,Ag3 clustersonthesilverparticlesurfaceproducedbytheinteractionbetweensilverandchloroformunderUVradiation .Thereactivityandthenumberofsurfacereactivecentersvarywithsilverparticlesize,resultinginthedifferentfluorescencephenomena.
TheyieldsofH~-,H ,H_2 ,H_2~ +andH_3 ~+forH_3~ +clusterspassingthroughcarbonfoilshavebeenmeasured .TheresultsshowedthatthechargeexchangeprocessintheinteractionofH3 +ionswithsolidsplaysakeyroleintheformationoftheseproducts.TheclustereffectsandwakeeffectsofH3 +ionsinsolidsarealsodiscussedindetail.
TheyieldsofH~-,H ,H_2 ,H_2~ +andH_3 ~+forH_3~ +clusterspassingthroughcarbonfoilshavebeenmeasured .TheresultsshowedthatthechargeexchangeprocessintheinteractionofH3 +ionswithsolidsplaysakeyroleintheformationoftheseproducts.TheclustereffectsandwakeeffectsofH3 +ionsinsolidsarealsodiscussedindetail.
Singleelectrondeviceshavebeenpreparedbythemolecularself assemblytechniqueandtheirvoltage currentcharacteristicsmeasured .Ontheotherhand,singleelectrondeviceswerestudiedbytheMonteCarlosimulationbasedonasemi classicaltheoryofsingleelectronphenomena.Thesimulatdvoltage currentcurveissimilartothemeasuredone.Thisshowsthattheabovemethodmaybeusedtostudysingleelectrondevices.Furthermore ,thesimulatdresultsindicatethatthevoltage currentcharacteristicofasingleelectrondeviceisdeterminedonlybythesmallquantityofnanoparticlesinthelowvoltageregionthoughtherearealargenumberofnanoparticlesbetweenthetwoelectrodes.
Singleelectrondeviceshavebeenpreparedbythemolecularself assemblytechniqueandtheirvoltage currentcharacteristicsmeasured .Ontheotherhand,singleelectrondeviceswerestudiedbytheMonteCarlosimulationbasedonasemi classicaltheoryofsingleelectronphenomena.Thesimulatdvoltage currentcurveissimilartothemeasuredone.Thisshowsthattheabovemethodmaybeusedtostudysingleelectrondevices.Furthermore ,thesimulatdresultsindicatethatthevoltage currentcharacteristicofasingleelectrondeviceisdeterminedonlybythesmallquantityofnanoparticlesinthelowvoltageregionthoughtherearealargenumberofnanoparticlesbetweenthetwoelectrodes.
Guided moderesonanceinadielectricgratingresultsfromaredistributionofenergyinpropagatingwaveswhenhigh orderspatialharmonicsarecoupledtotheleakywave guidemodessustainedbythegrating.Inthispaper,wehaveanalyzedtheguided wavemodesinawaveguidewitharigorouscoupled waveapproach .Fromtheanalyzedresults,wehaveestimatedproperlythelocationoftheguided moderesonanceinaweaklymodulateddielectricgrating .Wealsodiscussedtherelationsamongtheguided moderesonance,gratinglayerthickness,substratethickness,andtheincidentangle.Byadoptingadesignforanti refection ,thesymmetricguided moderesonancewithlowsidebandwasachieved .
Guided moderesonanceinadielectricgratingresultsfromaredistributionofenergyinpropagatingwaveswhenhigh orderspatialharmonicsarecoupledtotheleakywave guidemodessustainedbythegrating.Inthispaper,wehaveanalyzedtheguided wavemodesinawaveguidewitharigorouscoupled waveapproach .Fromtheanalyzedresults,wehaveestimatedproperlythelocationoftheguided moderesonanceinaweaklymodulateddielectricgrating .Wealsodiscussedtherelationsamongtheguided moderesonance,gratinglayerthickness,substratethickness,andtheincidentangle.Byadoptingadesignforanti refection ,thesymmetricguided moderesonancewithlowsidebandwasachieved .
TheMuellermatrixsolutionofthevectorradiativetransferequationwithtimedependenceisderivedinthispaper.Itisappliedtothesimulationofpolarimetricbistaticscatteringfromalayerofrandomnon sphericalscatterersnonuniformlyorientedwhenaGaussianplanepulseisincidentuponit.Co polarizedandcrosspolarizedbistaticscatteringarenumericallycalculated .Thepulseechoesarecomparedwiththeincidentpulse.Wedemonstratethefunctionaldependenceofthepulseonthephysicalparametersofarandommedium ,suchasspatialorientationandfractionalvolumeofscatterers,incidenceangleandpolarization ,thelayerdepthetc.
TheMuellermatrixsolutionofthevectorradiativetransferequationwithtimedependenceisderivedinthispaper.Itisappliedtothesimulationofpolarimetricbistaticscatteringfromalayerofrandomnon sphericalscatterersnonuniformlyorientedwhenaGaussianplanepulseisincidentuponit.Co polarizedandcrosspolarizedbistaticscatteringarenumericallycalculated .Thepulseechoesarecomparedwiththeincidentpulse.Wedemonstratethefunctionaldependenceofthepulseonthephysicalparametersofarandommedium ,suchasspatialorientationandfractionalvolumeofscatterers,incidenceangleandpolarization ,thelayerdepthetc.
Inthispaper,thesqueezingeffectsofalightfieldintheT CmodelisstudiedbymeansofthequantumtheoryintheCounter Rotating Wave Approximation (C RWA) .Ithasbeenshownthat:thelittleindentationwhichrepresentsthequantumnoiseofthesystemappearsintheevolutioncurvesofQundertheC RWA ;thequantumnoisewhichiscausedbyvirtualphotonfieldgraduallybecomesweakwhenωincreases;thequantumnoiseincreaseswhen nincreases;thevirtualphotonprocesscanstrengthenthesqueezingeffectobviously .Besides,thedependenceoftheatom fieldcouplingconstantλandtheatom atomcouplingconstantgonthesqueezingeffectsofthefieldisobservedinourresults.
Inthispaper,thesqueezingeffectsofalightfieldintheT CmodelisstudiedbymeansofthequantumtheoryintheCounter Rotating Wave Approximation (C RWA) .Ithasbeenshownthat:thelittleindentationwhichrepresentsthequantumnoiseofthesystemappearsintheevolutioncurvesofQundertheC RWA ;thequantumnoisewhichiscausedbyvirtualphotonfieldgraduallybecomesweakwhenωincreases;thequantumnoiseincreaseswhen nincreases;thevirtualphotonprocesscanstrengthenthesqueezingeffectobviously .Besides,thedependenceoftheatom fieldcouplingconstantλandtheatom atomcouplingconstantgonthesqueezingeffectsofthefieldisobservedinourresults.
Thecharacterizationofall opticalwavelengthconverterbasedonthecascadedsecond ordernonlinearitiesinLiNbO3waveguideshasbeencarriedoutinthisworkinordertofindrulestooptimizethefabricationparametersforstableandhigh efficiencyall opticalwavelengthconvention.Firstly,thecomparisonofnumericalanalysisresultsandthesmall signalanalysisresultsisgivenbasedonthecoupledmodeequation.Secondly,usingthenumericalresults,thedependenceofthefundamentalwavelengthandtheQPMgratingperiodonthebulktemperatureisgivenrespectively.Finally ,therelationshipbetweentheoutputpowerofaconvertedlightandthe 3dBbandwidthoffundamentalwavelength ,bulktemperature ,gratingperiodisanalyzed .
Thecharacterizationofall opticalwavelengthconverterbasedonthecascadedsecond ordernonlinearitiesinLiNbO3waveguideshasbeencarriedoutinthisworkinordertofindrulestooptimizethefabricationparametersforstableandhigh efficiencyall opticalwavelengthconvention.Firstly,thecomparisonofnumericalanalysisresultsandthesmall signalanalysisresultsisgivenbasedonthecoupledmodeequation.Secondly,usingthenumericalresults,thedependenceofthefundamentalwavelengthandtheQPMgratingperiodonthebulktemperatureisgivenrespectively.Finally ,therelationshipbetweentheoutputpowerofaconvertedlightandthe 3dBbandwidthoffundamentalwavelength ,bulktemperature ,gratingperiodisanalyzed .
Inthispaper,theexplicitformulaofJostfunctionpairsinthecaseofpureradiationisderivedbyusingthedressingmethodand,theanalysisoftheinteractionbetweensolitonsandradiationismade.Itisfoundthatinthecourseoftransmission ,theopticalpulse,whoseamplitudedecaysaccordingtothelawofthenegativesquarerootofpowerindexalongthepropagatingdirection ,ultimatelyevolvesintotheformofsoliton likewaveintheabsenceofradiation .Itisrevealedthatthefactorγplaysanimportantroleinthespectrumpropertiesfortheoutputoftheopticalpulse .Thedynamicalbehaviouroftheevolutionofsoliton likewavesduringtheinteractionofsolitonsandradiationisalsoanalyzed.
Inthispaper,theexplicitformulaofJostfunctionpairsinthecaseofpureradiationisderivedbyusingthedressingmethodand,theanalysisoftheinteractionbetweensolitonsandradiationismade.Itisfoundthatinthecourseoftransmission ,theopticalpulse,whoseamplitudedecaysaccordingtothelawofthenegativesquarerootofpowerindexalongthepropagatingdirection ,ultimatelyevolvesintotheformofsoliton likewaveintheabsenceofradiation .Itisrevealedthatthefactorγplaysanimportantroleinthespectrumpropertiesfortheoutputoftheopticalpulse .Thedynamicalbehaviouroftheevolutionofsoliton likewavesduringtheinteractionofsolitonsandradiationisalsoanalyzed.
Scratch resistantsilicaaerogelfilmswitha 77%porosityand 1 . 1 2refractiveindexatambientpressureisreportedusingtheexchangeofsolventandmodificationof—CH3 group.Thesilicafilmswerepreparedinasol gelprocessbyadip coatingmethod ,andthenwerepostannealedinairandamixedgasatmosphere.Thefilmswerecharacterizedwithtransmissionelectronmicroscope,scanningelectronmicroscope,FourierTransforminfraredspectroscope,anellipsometer,andtheabrasiontest,respectively.Withthepostannealing,thefrequencyshiftofFTIRabsorptionω4(TO3 )peakofthefilmstoalowerwavenumberresultsfromadecreaseintheaverageSi—O—Sibridgingangle.Anincreaseinthefullwidthathalf maximum (FWHM)oftheω4peakisascribedtoawidedistributionofthebridginganglebecauseoftheformationofstrainedSi—O—Sibondscausedbythepostannealing.Theabrasionandadhesiontestsindicatethatthemixedgastreatmentnoticeablystrengthensthesilicanetwork .TheincreaseinstrengthisattributedtomoreSi—O—Sibondcross linkagesbetweensilicaparticlesformedbythemixedgastreatment.
Scratch resistantsilicaaerogelfilmswitha 77%porosityand 1 . 1 2refractiveindexatambientpressureisreportedusingtheexchangeofsolventandmodificationof—CH3 group.Thesilicafilmswerepreparedinasol gelprocessbyadip coatingmethod ,andthenwerepostannealedinairandamixedgasatmosphere.Thefilmswerecharacterizedwithtransmissionelectronmicroscope,scanningelectronmicroscope,FourierTransforminfraredspectroscope,anellipsometer,andtheabrasiontest,respectively.Withthepostannealing,thefrequencyshiftofFTIRabsorptionω4(TO3 )peakofthefilmstoalowerwavenumberresultsfromadecreaseintheaverageSi—O—Sibridgingangle.Anincreaseinthefullwidthathalf maximum (FWHM)oftheω4peakisascribedtoawidedistributionofthebridginganglebecauseoftheformationofstrainedSi—O—Sibondscausedbythepostannealing.Theabrasionandadhesiontestsindicatethatthemixedgastreatmentnoticeablystrengthensthesilicanetwork .TheincreaseinstrengthisattributedtomoreSi—O—Sibondcross linkagesbetweensilicaparticlesformedbythemixedgastreatment.
Transientphotoconductivityanditslight inducedchangewereinvestigatedbyusingaModel440 0boxcaraveragerandsignalprocessorforlightlyboron dopeda Si∶Hfilms.Thetransientphotoconductivitiesofthesampleweremeasuredatanannealedstateandlight soakedstates.Thetransientdecayprocessofthephotoconductivitycanbefittedfairlywellbyasecond orderexponentialdecayfunction ,whichindicatesthatthedecayprocessisrelatedwithtwodifferenttraps.Itisnoteworthythatthephotoconductivityofthefilmincreasesafterlight soaking.ThismaybeduetothedeactivityoftheboronacceptorB-4,andthussomeoftheboronatomscannolongeractasacceptorsanddrivesEFtoshiftsupward .Consequently,thenumberofeffectiverecombinationcentersmaybereducedandsothephotoconductivityincreases.
Transientphotoconductivityanditslight inducedchangewereinvestigatedbyusingaModel440 0boxcaraveragerandsignalprocessorforlightlyboron dopeda Si∶Hfilms.Thetransientphotoconductivitiesofthesampleweremeasuredatanannealedstateandlight soakedstates.Thetransientdecayprocessofthephotoconductivitycanbefittedfairlywellbyasecond orderexponentialdecayfunction ,whichindicatesthatthedecayprocessisrelatedwithtwodifferenttraps.Itisnoteworthythatthephotoconductivityofthefilmincreasesafterlight soaking.ThismaybeduetothedeactivityoftheboronacceptorB-4,andthussomeoftheboronatomscannolongeractasacceptorsanddrivesEFtoshiftsupward .Consequently,thenumberofeffectiverecombinationcentersmaybereducedandsothephotoconductivityincreases.
Iron silicidefilmshavebeensynthesizedbymetalvaporvacuumarc (MEVVA)ionimplantationofironinto (1 1 1 )and(1 0 0 )orientedsiliconwafers.Thestructureevolutionwascharacterizedusingtransmissionelectronmicroscopy (TEM)andhighresolutionelectronmicroscopy (HREM) .TheβFeSi2filmsandburiedlayerswithdifferentdepthandthicknesswereobtainedbyadjustingtheimplantationenergyanddose .Theformationofα,β,γandCsCl FeSi2 phaseshavebeenobserved .ThephasetransitionorderisγFeSi2→βFeSi2→αFeSi2,CsClFeSi2→βFeSi2→αFeSi2 or βFeSi2→αFeSi2.Anamorphouslayerwasformedat60kVand 4× 1 0 1 7ions cm2 ,thephasetransitionorderisamorphous→β FeSi2 →α FeSi2 .Themorphologyandpositionofthesilicidefilmschangewiththeannealingtemperature.Thesilicidegrainsgrowwithincreasingannealingtemperaturewithfurtherincreaseoftemperature ,thecontinuoussilicidelayersshrinkintoisolatedislandsandtheinterfaceβ FeSi2 Sibe comesrougher.Inthispaper,thecomplicatedorientationrelationshipsexistingbetweenβ FeSi2 andSiwerealsoinvestigated
Iron silicidefilmshavebeensynthesizedbymetalvaporvacuumarc (MEVVA)ionimplantationofironinto (1 1 1 )and(1 0 0 )orientedsiliconwafers.Thestructureevolutionwascharacterizedusingtransmissionelectronmicroscopy (TEM)andhighresolutionelectronmicroscopy (HREM) .TheβFeSi2filmsandburiedlayerswithdifferentdepthandthicknesswereobtainedbyadjustingtheimplantationenergyanddose .Theformationofα,β,γandCsCl FeSi2 phaseshavebeenobserved .ThephasetransitionorderisγFeSi2→βFeSi2→αFeSi2,CsClFeSi2→βFeSi2→αFeSi2 or βFeSi2→αFeSi2.Anamorphouslayerwasformedat60kVand 4× 1 0 1 7ions cm2 ,thephasetransitionorderisamorphous→β FeSi2 →α FeSi2 .Themorphologyandpositionofthesilicidefilmschangewiththeannealingtemperature.Thesilicidegrainsgrowwithincreasingannealingtemperaturewithfurtherincreaseoftemperature ,thecontinuoussilicidelayersshrinkintoisolatedislandsandtheinterfaceβ FeSi2 Sibe comesrougher.Inthispaper,thecomplicatedorientationrelationshipsexistingbetweenβ FeSi2 andSiwerealsoinvestigated
ThispaperpresentsastudyonelectronicstructuresofdefectsassociatedwithoxygenvacancyVOandleadvacancyVPbinleadtungstatecrystals (PbWO4) ,bytherelativisticself consistentdiscretevariationalembeddedclustermethod .Furthermore,theexcitationenergyisalsocalculated.WefoundthatWO3 +VOcouldbetheabsorptioncenterat3 50nmand 42 0nm ,andtheexistenceofVPbcandiminishthebandgapofWO42 -.
ThispaperpresentsastudyonelectronicstructuresofdefectsassociatedwithoxygenvacancyVOandleadvacancyVPbinleadtungstatecrystals (PbWO4) ,bytherelativisticself consistentdiscretevariationalembeddedclustermethod .Furthermore,theexcitationenergyisalsocalculated.WefoundthatWO3 +VOcouldbetheabsorptioncenterat3 50nmand 42 0nm ,andtheexistenceofVPbcandiminishthebandgapofWO42 -.
Inthispaper,theexperimentalresultsofthelow temperatureresistancebetween 0.1Kto 2 50Kandspecificheatbetween5Kto 70KofheavyfermioncompoundsCeCu6 xNix(x =0.0 ,0.0 5,0.1 ,0.15,0.2 )arereported .ThedopingeffectoftheNicontentonthelow temperaturepropertiesofCeCu6 isstudied .Thetemperaturesofresistancemaximuasofthesamplesreducedramaticallywiththeincreaseofthedopingcontentx.ThisindicatestheenhancementofmagneticmomentofminorCeionsthatareneighboringNiatomandthedecreaseofthecoherentscatteringbetweenthewholeCeionlatticeandtheconductionelectrons.Thelow temperatureelectronicspecificheatcoefficientγ(CE T ,whereCEistheelectronicspecificheat)isnearlyaconstantatlowtemperatures,butitapparentlyincreasesbelow 8Kduetotheincreaseofitseffectivemass.However,thetem peratureatwhichγbeginstoincreaseisnotsensitivetothecontentofNi,indicatingthatthestatusofmostceriumionsarenotaffected.
Inthispaper,theexperimentalresultsofthelow temperatureresistancebetween 0.1Kto 2 50Kandspecificheatbetween5Kto 70KofheavyfermioncompoundsCeCu6 xNix(x =0.0 ,0.0 5,0.1 ,0.15,0.2 )arereported .ThedopingeffectoftheNicontentonthelow temperaturepropertiesofCeCu6 isstudied .Thetemperaturesofresistancemaximuasofthesamplesreducedramaticallywiththeincreaseofthedopingcontentx.ThisindicatestheenhancementofmagneticmomentofminorCeionsthatareneighboringNiatomandthedecreaseofthecoherentscatteringbetweenthewholeCeionlatticeandtheconductionelectrons.Thelow temperatureelectronicspecificheatcoefficientγ(CE T ,whereCEistheelectronicspecificheat)isnearlyaconstantatlowtemperatures,butitapparentlyincreasesbelow 8Kduetotheincreaseofitseffectivemass.However,thetem peratureatwhichγbeginstoincreaseisnotsensitivetothecontentofNi,indicatingthatthestatusofmostceriumionsarenotaffected.
Howtoexcitethebiexctionsinapolymerisanessentialsubject,sincethebiexcitonpossessesaneffectofphoto inducedpolarizationreversion.Thispaperproposesanewchanneltoproducethebiexcitonthroughtwo electronexcitation.Therelaxationprocessesofbothlatticedistortionandelectronicstatesaresimulatedbystudyingitsdynamics,andtherelaxationtimeofbiexcitonformationandpolarizationreversionisdetermined .
Howtoexcitethebiexctionsinapolymerisanessentialsubject,sincethebiexcitonpossessesaneffectofphoto inducedpolarizationreversion.Thispaperproposesanewchanneltoproducethebiexcitonthroughtwo electronexcitation.Therelaxationprocessesofbothlatticedistortionandelectronicstatesaresimulatedbystudyingitsdynamics,andtherelaxationtimeofbiexcitonformationandpolarizationreversionisdetermined .
VoltagetransientsduetothethermalelectroncaptureandemissionofDXcentersinn typeSn dopedAl0 . 2 6 Ga0 .74AsweremeasuredbytheconstantcapacitancetechniqueandtransformedbyLaplacedefectspectroscopy (LDS) .Byanalyzingthevariationsofdiscreteemissionrateswithdifferentcaptureperiods,correspondingrelationsbetweendiscretecaptureandemissionratesandcapturecoefficientsweredetermined .ThefinestructuresofelectroncapturebarriersoftheSn relatedDXcenterswereobtainedbylinearfittingthedataoftemperature dependencesofthecapturecoefficients.TheresultscalcuatedbyusingthefirstprinciplepseudopotentialmethodshowthatthefinestructuresofthecapturebarriersmainlycontributetoAl GaatdifferentlocalconfigurationsnearSnatomsduetothealloyrandomeffect.
VoltagetransientsduetothethermalelectroncaptureandemissionofDXcentersinn typeSn dopedAl0 . 2 6 Ga0 .74AsweremeasuredbytheconstantcapacitancetechniqueandtransformedbyLaplacedefectspectroscopy (LDS) .Byanalyzingthevariationsofdiscreteemissionrateswithdifferentcaptureperiods,correspondingrelationsbetweendiscretecaptureandemissionratesandcapturecoefficientsweredetermined .ThefinestructuresofelectroncapturebarriersoftheSn relatedDXcenterswereobtainedbylinearfittingthedataoftemperature dependencesofthecapturecoefficients.TheresultscalcuatedbyusingthefirstprinciplepseudopotentialmethodshowthatthefinestructuresofthecapturebarriersmainlycontributetoAl GaatdifferentlocalconfigurationsnearSnatomsduetothealloyrandomeffect.
Aconductancemodelofelectronictunnelingtransferissetup,andanewD .Cconductanceformulainone dimensionaldisorderedsystemisderived .BycalculatingtheD .Cconductivity,therelationshipamongtheelectricfield、temperatureandconductivityisanalyzed ,andtheeffectofdisordereddegreeontheD .Cconductanceisdiscussed .Theresultshowsthattheconductivityofadisorderedsystemdecreaseswiththeincreaseofdisordereddegree.Whentheelectricfieldisweak ,itsconductivityishighandhasaseriesofpeakvalues.Hewever,whentheelectricfieldisstrong,itsconductivityisweak.Inthelow temperatureregion,thedisorderedsystemshowsacharacteristicofnegativedifferentialdependenceofresistanceandtemperature.Onthecontrary,itsconductivitydecreaseswiththeriseoftemperatureinthehigh temperatureregion.Thisresultisingoodagreementwiththeexperiments.
Aconductancemodelofelectronictunnelingtransferissetup,andanewD .Cconductanceformulainone dimensionaldisorderedsystemisderived .BycalculatingtheD .Cconductivity,therelationshipamongtheelectricfield、temperatureandconductivityisanalyzed ,andtheeffectofdisordereddegreeontheD .Cconductanceisdiscussed .Theresultshowsthattheconductivityofadisorderedsystemdecreaseswiththeincreaseofdisordereddegree.Whentheelectricfieldisweak ,itsconductivityishighandhasaseriesofpeakvalues.Hewever,whentheelectricfieldisstrong,itsconductivityisweak.Inthelow temperatureregion,thedisorderedsystemshowsacharacteristicofnegativedifferentialdependenceofresistanceandtemperature.Onthecontrary,itsconductivitydecreaseswiththeriseoftemperatureinthehigh temperatureregion.Thisresultisingoodagreementwiththeexperiments.
Alarge signalanalyticalmodelwithtemperatureconsideredfor4H SiCradiofrequencypowerMESFETI Vcharacteristicsisproposedbasedonthetheoryofsaturatedcarriervelocity,bymeansofwhichtheself heatingeffectistakenintoaccountsoastoanalyzethetemperatureperformanceofSiCpowerMESFET .Theheattransportbetweenthechannelandthesubstrateismodeledwithnon constanttemperatureT0 atthebottomof4H SiCsubstrateinordertofittherealactionsofdevices.Agoodagree mentbetweensimulationandmeasurementisobtained.
Alarge signalanalyticalmodelwithtemperatureconsideredfor4H SiCradiofrequencypowerMESFETI Vcharacteristicsisproposedbasedonthetheoryofsaturatedcarriervelocity,bymeansofwhichtheself heatingeffectistakenintoaccountsoastoanalyzethetemperatureperformanceofSiCpowerMESFET .Theheattransportbetweenthechannelandthesubstrateismodeledwithnon constanttemperatureT0 atthebottomof4H SiCsubstrateinordertofittherealactionsofdevices.Agoodagree mentbetweensimulationandmeasurementisobtained.
Wehaveobservedthataweaklightbeamwillexperienceadefocusing contractprocessbeforeitcomestosteadystatewhenpassingthroughaCu:KNSBNcrystalwithatransientspatialelectricfield.Thisprocessbecamefastbyincreasingintensityofthelightbeam .Webelievethatthedefocusing contractprocessresultsfrombotheffectsofthetransientelectricfieldinthecrystalsandthephotovoltaicandrefocusingfieldsgeneratedbythebeamitself.
Wehaveobservedthataweaklightbeamwillexperienceadefocusing contractprocessbeforeitcomestosteadystatewhenpassingthroughaCu:KNSBNcrystalwithatransientspatialelectricfield.Thisprocessbecamefastbyincreasingintensityofthelightbeam .Webelievethatthedefocusing contractprocessresultsfrombotheffectsofthetransientelectricfieldinthecrystalsandthephotovoltaicandrefocusingfieldsgeneratedbythebeamitself.
Thequantumwavefunctionandthecorrespondingenergylevelsofthedissipativemesoscopiccapacitancecouplingcircuitsareobtainedbyusingunitaryandlineartransformations.Thequantumfluctuationofchargeandcurrentinanarbitraryeigenstateofthesystemhavebeenalsogiven.Theresultsshowthatthefluctuationofchargeandcurrentdependsonnotonlytheeigenstatebutalsotheelectronicdeviceparameters.
Thequantumwavefunctionandthecorrespondingenergylevelsofthedissipativemesoscopiccapacitancecouplingcircuitsareobtainedbyusingunitaryandlineartransformations.Thequantumfluctuationofchargeandcurrentinanarbitraryeigenstateofthesystemhavebeenalsogiven.Theresultsshowthatthefluctuationofchargeandcurrentdependsonnotonlytheeigenstatebutalsotheelectronicdeviceparameters.
Thispaperpresentsanexperimentalmethodformeasuringthedensityoftrappingcharges.Thismethodisbasedonthedy namicequilibriumequationfortheprocessoftrappedcharges.WecanobtainthedensityandthelocationoftrappingchargesbymeasuringthehighfrequencyC VcurveofMOScapacitancebeforeandafterstress,andthechangeofgatevoltageunderconstantcurrentstress.Theanalyticalexpressionofthedensityoftrappingchargesisproposed .Themethodandtheresultsofparametersextractionarealsopresented .Experimentalresultsshowthatthismethodisconvenientandprecise .
Thispaperpresentsanexperimentalmethodformeasuringthedensityoftrappingcharges.Thismethodisbasedonthedy namicequilibriumequationfortheprocessoftrappedcharges.WecanobtainthedensityandthelocationoftrappingchargesbymeasuringthehighfrequencyC VcurveofMOScapacitancebeforeandafterstress,andthechangeofgatevoltageunderconstantcurrentstress.Theanalyticalexpressionofthedensityoftrappingchargesisproposed .Themethodandtheresultsofparametersextractionarealsopresented .Experimentalresultsshowthatthismethodisconvenientandprecise .
Inmeasurementsoftimedecayinaperpendiculardouble layeredmedium ,alargeoutputdecaywasobservedwhenaregularsingle poleheadwasusedforbothwritingandreading .Investigationsofthisphenomenonrevealedthatthedemagnetizationofthemediumwascausedbytheinstabilityofthedomainwallofthemainpolefilmandalsobytheconcentrationofstrayfieldsbythemainpoleduringthereadingprocess.Severalcountermeasureswereproposed .
Inmeasurementsoftimedecayinaperpendiculardouble layeredmedium ,alargeoutputdecaywasobservedwhenaregularsingle poleheadwasusedforbothwritingandreading .Investigationsofthisphenomenonrevealedthatthedemagnetizationofthemediumwascausedbytheinstabilityofthedomainwallofthemainpolefilmandalsobytheconcentrationofstrayfieldsbythemainpoleduringthereadingprocess.Severalcountermeasureswereproposed .
InordertoobtainthefinestructureoftetragonalferroelectricPbFe0.5Nb0.5O3 ,wecalculateditstotalenergybyfull potentiallinearizedaugmentedplanewavemethod .TheequilibriumconfigurationofB sitecations(FeandNb)wasdetermined .ThedisplacementofFeionsalong [0 0 1 ]directioninthefinestructureis0 .0 2 2nmandthatofNbionsis0 .0020nm .Theferroelec tricinstabilityresultsmainlyfromthedisplacementofFeions.
InordertoobtainthefinestructureoftetragonalferroelectricPbFe0.5Nb0.5O3 ,wecalculateditstotalenergybyfull potentiallinearizedaugmentedplanewavemethod .TheequilibriumconfigurationofB sitecations(FeandNb)wasdetermined .ThedisplacementofFeionsalong [0 0 1 ]directioninthefinestructureis0 .0 2 2nmandthatofNbionsis0 .0020nm .Theferroelec tricinstabilityresultsmainlyfromthedisplacementofFeions.
Thetime resolvedphotoluminescence (TRPL)spectraoforderedGa0 .5In0 . 5Palloysgrownbymetalorganicvaporphaseepitaxywereinvestigated .Theleast squarefittingoftheluminescencedecayspectrashowsthatthereexisttwoexponentialprocesses:forthequickprocessthelifetimeτ1 isabout1 2 8ps— 2 50psand 1 86ps— 546psatroomtemperatureand77K ,respectively;andfortheslowprocessthelifetimeτ2 is,about3 0 8ps— 1 83 2ps,atroomtemperatureandat77K ,aslongasnanosecondandevenmorethan 2 8ns.Theshortlifetimeprocessbelongstotherecombinationofcarriersintheordereddomains,correspondingtothehigh energypeakinthePLspectra.Thelonglifetimeprocesscorrespondstothelow energypeakinthePLspectra.Thestrongexcitationintensitydependenceofτ2 atafixedenergyindicatesthatthelonglifetimeprocesscouldnotbeexplainedintermsofdonor acceptorpair(DAP) .Weattributetheemissiontotherecombinationbetweenthespatiallyseparatedcentersoftheelectronsinordereddomainsandtheholesindisorderedregions.TheTRPLspectraat77Kexhibitablue shiftwithtimedelay ,indicatingthatthecarrierstransferfromdisorderedregionstoordereddomains.
Thetime resolvedphotoluminescence (TRPL)spectraoforderedGa0 .5In0 . 5Palloysgrownbymetalorganicvaporphaseepitaxywereinvestigated .Theleast squarefittingoftheluminescencedecayspectrashowsthatthereexisttwoexponentialprocesses:forthequickprocessthelifetimeτ1 isabout1 2 8ps— 2 50psand 1 86ps— 546psatroomtemperatureand77K ,respectively;andfortheslowprocessthelifetimeτ2 is,about3 0 8ps— 1 83 2ps,atroomtemperatureandat77K ,aslongasnanosecondandevenmorethan 2 8ns.Theshortlifetimeprocessbelongstotherecombinationofcarriersintheordereddomains,correspondingtothehigh energypeakinthePLspectra.Thelonglifetimeprocesscorrespondstothelow energypeakinthePLspectra.Thestrongexcitationintensitydependenceofτ2 atafixedenergyindicatesthatthelonglifetimeprocesscouldnotbeexplainedintermsofdonor acceptorpair(DAP) .Weattributetheemissiontotherecombinationbetweenthespatiallyseparatedcentersoftheelectronsinordereddomainsandtheholesindisorderedregions.TheTRPLspectraat77Kexhibitablue shiftwithtimedelay ,indicatingthatthecarrierstransferfromdisorderedregionstoordereddomains.
TheGeO2 SiO2 gel glasseswerepreparedbythesol gelmethodwithtetraethoxysilane (Si(OC2 H5) 4)and 3 trichloroger maniumpropanoicaci (Cl3 GeCH2 CH2 COOH)asstartingmaterials.Thegel glassesshowastrongroom temperaturephotoluminescencewithpeaksat575and 62 4nmundertheexcitationofthe 53 2nmlineofaNd∶YAGlaser.ThephotoluminescencespectraarecausedbyGeO2 nanoparticlesembeddedingel glasses.TheGeO2 SiO2 gel glassesarecharacterizedbytheopticalabsorption,X raydiffraction (XRD)andtransmissionelectionmecroscopy.ThesizeofGeO2 nanoparticlesembeddedingelglassesbecomeslargerastheGeO2 contentincreases,andthustheopticalabsorptionedgeofthegel glassshiftstothelower energyside .TheGeO2 nanoparticlestructuresarefoundtobeamorphousGeO2 inthegel glassesbytheXRDandtheelectrondiffractionpattern .
TheGeO2 SiO2 gel glasseswerepreparedbythesol gelmethodwithtetraethoxysilane (Si(OC2 H5) 4)and 3 trichloroger maniumpropanoicaci (Cl3 GeCH2 CH2 COOH)asstartingmaterials.Thegel glassesshowastrongroom temperaturephotoluminescencewithpeaksat575and 62 4nmundertheexcitationofthe 53 2nmlineofaNd∶YAGlaser.ThephotoluminescencespectraarecausedbyGeO2 nanoparticlesembeddedingel glasses.TheGeO2 SiO2 gel glassesarecharacterizedbytheopticalabsorption,X raydiffraction (XRD)andtransmissionelectionmecroscopy.ThesizeofGeO2 nanoparticlesembeddedingelglassesbecomeslargerastheGeO2 contentincreases,andthustheopticalabsorptionedgeofthegel glassshiftstothelower energyside .TheGeO2 nanoparticlestructuresarefoundtobeamorphousGeO2 inthegel glassesbytheXRDandtheelectrondiffractionpattern .
NanocrystallineGaSbParticlesembeddedinSiO2 filmsweregrownbyradiofrequencymagnetronco sputtering .ThetransmissionabsorptionofthecompositefilmwasrecordedwithCary 5Espectrophotometeratroomtemperature.Thetwo photonopticalnonlinearitiesoftheGaSb SiO2 compositethinfilmsat63 2 .8nmweremeasuredbyZ scanmethod,andtheresultsare:twophotonabsorptioncoefficientβ≈ 0 . 0 82m W ,nonlinearrefractiveindexγ≈ 3 .76× 1 0 -9m2 Wandthenonlinearsusceptibilityχ(3 )≈ 7.84× 1 0 -9esu .
NanocrystallineGaSbParticlesembeddedinSiO2 filmsweregrownbyradiofrequencymagnetronco sputtering .ThetransmissionabsorptionofthecompositefilmwasrecordedwithCary 5Espectrophotometeratroomtemperature.Thetwo photonopticalnonlinearitiesoftheGaSb SiO2 compositethinfilmsat63 2 .8nmweremeasuredbyZ scanmethod,andtheresultsare:twophotonabsorptioncoefficientβ≈ 0 . 0 82m W ,nonlinearrefractiveindexγ≈ 3 .76× 1 0 -9m2 Wandthenonlinearsusceptibilityχ(3 )≈ 7.84× 1 0 -9esu .
OpticallytransparentSb dopedSrTiO3 (SrTi1-xSbxO3 )thinfilmswithatransmittancehigherthan 90 %invisibleregionhavebeengrownonSrTiO3 (0 0 1 )substratesbypulsedlaserdepositionmethodusinganXeCllaserunderoxygenpartialpressureof2 0Pa.ThethinfilmwithSbdopingconcentrationofx=0 .0 5showsmetallic likeconductivitywitharesistivityρ~ 6.99×1 0 -3 Ω·cmatroomtemperature.XPSandsynchrotronradiationphotoelectronspectroscopy (SR PES)measurementfromtheSrTi0 . 95Sb0 .0 5O3 thinfilmrevealsthattheshallowanddeepimpuritydonorlevelswithinthebandgapoftheparentcompoundSrTiO3 areinducedbytheSbdoping.ThedelocalizedelectronswithintheshallowlevelsneartheFermilevelcanbeexcitedtotheconductionbandasfreecarriersforelectricalconductionbythermalionization.Thewidebandgap ,smalltransitionprobabilityandweakabsorptionduetothelowdensityofstatesintheimpuritylevelsresultintheopticaltransparencyofthefilm .
OpticallytransparentSb dopedSrTiO3 (SrTi1-xSbxO3 )thinfilmswithatransmittancehigherthan 90 %invisibleregionhavebeengrownonSrTiO3 (0 0 1 )substratesbypulsedlaserdepositionmethodusinganXeCllaserunderoxygenpartialpressureof2 0Pa.ThethinfilmwithSbdopingconcentrationofx=0 .0 5showsmetallic likeconductivitywitharesistivityρ~ 6.99×1 0 -3 Ω·cmatroomtemperature.XPSandsynchrotronradiationphotoelectronspectroscopy (SR PES)measurementfromtheSrTi0 . 95Sb0 .0 5O3 thinfilmrevealsthattheshallowanddeepimpuritydonorlevelswithinthebandgapoftheparentcompoundSrTiO3 areinducedbytheSbdoping.ThedelocalizedelectronswithintheshallowlevelsneartheFermilevelcanbeexcitedtotheconductionbandasfreecarriersforelectricalconductionbythermalionization.Thewidebandgap ,smalltransitionprobabilityandweakabsorptionduetothelowdensityofstatesintheimpuritylevelsresultintheopticaltransparencyofthefilm .
Thedomainreversalcharacteristicsofnear stoichiometricLiNbO3 singlecrystals,whichwerepreparedbytheCzochralskimethodwithK2 Ofluxandthevaportransportequilibration,wereinvestigated.Theresultsshowthattheswitchfieldfor1 80°ferroelectricdomainreversalinthenear stoichiomentLiNbO3 crystaldecreaseswith [Li] [Nb]ratio.Wesuccessfullyachieved1 80°domainreversalinthenear stoichiometricLiNbO3 samplesof1 . 0mmthicknessbyusinga4. 0kV mmswitchfield .ApreliminaryexplanationforexperimentalresultsisgivenbasedontheLi sitevacancypointdefectmodel.
Thedomainreversalcharacteristicsofnear stoichiometricLiNbO3 singlecrystals,whichwerepreparedbytheCzochralskimethodwithK2 Ofluxandthevaportransportequilibration,wereinvestigated.Theresultsshowthattheswitchfieldfor1 80°ferroelectricdomainreversalinthenear stoichiomentLiNbO3 crystaldecreaseswith [Li] [Nb]ratio.Wesuccessfullyachieved1 80°domainreversalinthenear stoichiometricLiNbO3 samplesof1 . 0mmthicknessbyusinga4. 0kV mmswitchfield .ApreliminaryexplanationforexperimentalresultsisgivenbasedontheLi sitevacancypointdefectmodel.
ThecollapsesolutionofastarwithuniformdensityandzeropressuregivenintheclassicpaperofOppenheimerandSnyderisprovedtobeincomplete;itcannotcorrectlyconnecttheFriedmannandSchwarzschildmetricsastheinteriorandexteriorsolutions.Bytheextensionofsolutionparameterinthediscretespacetime,weconstructacompletegravitationalsolution ,whichcouldmakeanequivalenceconnectionbetweentheFriedmannandSchwarzschildmetricsandisprovestobesingularity free.Thesolutionshowsthatthereexistsarelationshipamongmatter,gravitationanddiscretespacetimeconfiguration .
ThecollapsesolutionofastarwithuniformdensityandzeropressuregivenintheclassicpaperofOppenheimerandSnyderisprovedtobeincomplete;itcannotcorrectlyconnecttheFriedmannandSchwarzschildmetricsastheinteriorandexteriorsolutions.Bytheextensionofsolutionparameterinthediscretespacetime,weconstructacompletegravitationalsolution ,whichcouldmakeanequivalenceconnectionbetweentheFriedmannandSchwarzschildmetricsandisprovestobesingularity free.Thesolutionshowsthatthereexistsarelationshipamongmatter,gravitationanddiscretespacetimeconfiguration .