seebeck effectseebeck 效应.docx
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seebeck effectseebeck 效应.docx
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seebeckeffectseebeck效应
Thermoelectriceffect
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Thisarticleisaboutthethermoelectriceffectasaphysicalphenomenon.Forapplicationsofthethermoelectriceffect,seethermoelectricmaterialsandthermoelectriccooling.
Thermoelectriceffect
Principles[hide]
Thermoelectriceffect(Seebeckeffect,
Peltiereffect,Thomsoneffect) ·Thermopower(Seebeckcoefficient) ·Ettingshauseneffect ·Nernsteffect
Applications[show]
Thermoelectricmaterials ·Thermocouple ·Thermopile ·Thermoelectriccooling ·Thermoelectricgenerator ·Radioisotopethermoelectricgenerator ·Automotivethermoelectricgenerator
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Thethermoelectriceffectisthedirectconversionoftemperaturedifferencestoelectricvoltageandvice-versa.Athermoelectricdevicecreatesavoltagewhenthereisadifferenttemperatureoneachside.Conversely,whenavoltageisappliedtoit,itcreatesatemperaturedifference.Attheatomicscale,anappliedtemperaturegradientcauseschargecarriersinthematerialtodiffusefromthehotsidetothecoldside,similartoaclassicalgasthatexpandswhenheated;henceinducingathermalcurrent.
Thiseffectcanbeusedtogenerateelectricity,measuretemperatureorchangethetemperatureofobjects.Becausethedirectionofheatingandcoolingisdeterminedbythepolarityoftheappliedvoltage,thermoelectricdevicesareefficienttemperaturecontrollers.
Theterm"thermoelectriceffect"encompassesthreeseparatelyidentifiedeffects:
theSeebeckeffect,PeltiereffectandThomsoneffect.TextbooksmayrefertoitasthePeltier–Seebeckeffect.ThisseparationderivesfromtheindependentdiscoveriesofFrenchphysicistJeanCharlesAthanasePeltierandEstonian-GermanphysicistThomasJohannSeebeck.Jouleheating,theheatthatisgeneratedwheneveravoltageisappliedacrossaresistivematerial,isrelatedthoughitisnotgenerallytermedathermoelectriceffect.ThePeltier–SeebeckandThomsoneffectsarethermodynamicallyreversible,[1]whereasJouleheatingisnot.
Contents
[hide]
∙1Seebeckeffect
o1.1Thermopower
o1.2Charge-carrierdiffusion
o1.3Phonondrag
∙2Peltiereffect
∙3Thomsoneffect
o3.1Thomsonrelations
∙4Figureofmerit
∙5Deviceefficiency
∙6Applications
o6.1Seebeckeffect
o6.2Peltiereffect
o6.3Temperaturemeasurement
∙7Seealso
∙8References
∙9Externallinks
[edit]Seebeckeffect
DiagramofthecircuitonwhichSeebeckdiscoveredtheSeebeckeffect.AandBaretwodifferentmetals.
TheSeebeckeffectistheconversionoftemperaturedifferencesdirectlyintoelectricityandisnamedforGerman-EstonianphysicistThomasJohannSeebeck,who,in1821discoveredthatacompassneedlewouldbedeflectedbyaclosedloopformedbytwometalsjoinedintwoplaces,withatemperaturedifferencebetweenthejunctions.Thiswasbecausethemetalsrespondeddifferentlytothetemperaturedifference,creatingacurrentloopandamagneticfield.Seebeckdidnotrecognizetherewasanelectriccurrentinvolved,sohecalledthephenomenonthethermomagneticeffect.DanishphysicistHansChristianØrstedrectifiedthemistakeandcoinedtheterm"thermoelectricity".Thevoltagecreatedbythiseffectisoftheorderofseveralmicrovoltsperkelvindifference.Onesuchcombination,copper-constantan,hasaSeebeckcoefficientof41microvoltsperkelvinatroomtemperature.[2]
ThevoltageVdevelopedcanbederivedfrom:
whereSAandSBarethethermopowers(Seebeckcoefficient)ofmetalsAandBasafunctionoftemperatureandT1andT2arethetemperaturesofthetwojunctions.TheSeebeckcoefficientsarenon-linearasafunctionoftemperature,anddependontheconductors'absolutetemperature,material,andmolecularstructure.IftheSeebeckcoefficientsareeffectivelyconstantforthemeasuredtemperaturerange,theaboveformulacanbeapproximatedas:
TheSeebeckeffectisusedinthethermocoupletomeasureatemperaturedifference;absolutetemperaturemaybefoundbysettingoneendtoaknowntemperature.Ametalofunknowncompositioncanbeclassifiedbyitsthermoelectriceffectifametallicprobeofknowncomposition,keptataconstanttemperature,isheldincontactwithit.Industrialqualitycontrolinstrumentsusethisasthermoelectricalloysortingtoidentifymetalalloys.Thermocouplesinseriesformathermopile,sometimesconstructedinordertoincreasetheoutputvoltage,sincethevoltageinducedovereachindividualcoupleissmall.Thermoelectricgeneratorsareusedforcreatingpowerfromheatdifferentialsandexploitthiseffect.
[edit]Thermopower
Mainarticle:
Thermopower
ThethermopowerorSeebeckcoefficient,representedbyS,ofamaterialmeasuresthemagnitudeofaninducedthermoelectricvoltageinresponsetoatemperaturedifferenceacrossthatmaterial,andtheentropyperchargecarrierinthematerial.[3]ShasunitsofV/K,thoughμV/Kismorecommon.ValuesinthehundredsofμV/K,regardlessofsign,aretypicalofgoodthermoelectricmaterials.Theterm"thermopower"isamisnomersinceitdoesnotmeasurepower,butmeasuresthevoltageinducedinresponsetoatemperaturedifference.Anappliedtemperaturedifferencecauseschargedcarriersinthematerialtodiffusefromthehotsidetothecoldside.Mobilechargedcarriersmigratingtothecoldsideleavebehindtheiroppositelychargednucleiatthehotsidethusgivingrisetoathermoelectricvoltage.Sinceaseparationofchargescreatesanelectricpotential,thebuildupofchargedcarriersontothecoldsideeventuallyceasesatsomemaximumvaluesincetheelectricfieldisatequilibrium.Anincreaseinthetemperaturedifferenceresumesabuildupofchargecarriersonthecoldside,leadingtoanincreaseinthethermoelectricvoltage,andviceversa.Thematerial'stemperatureandcrystalstructureinfluenceS;typicallymetalshavesmallthermopowersbecauseofhalf-filledbandscausedbyequalnegativeandpositivechargescancellingeachothercontributingtotheinducedthermoelectricvoltage.Incontrast,semiconductorscanbedopedwithexcesselectronsorelectronholes,causingthemagnitudeofStobelarge.Thesignofthethermopowerdetermineswhichchargedcarriersdominatetheelectrictransport.[citationneeded]
Ifthetemperaturedifference
betweenthetwoendsofamaterialissmall,thenthethermopowerofamaterialisdefinedapproximately[4]as:
andathermoelectricvoltageofΔVisseenattheterminals.
Thiscanbewritteninrelationtotheelectricfield
andthetemperaturegradient
bytheapproximate[4]equation:
Theabsolutethermopowerofthematerialofinterestisrarelypracticallymeasuredbecauseelectrodesattachedtoavoltmetermustbeplacedontothematerialinordertomeasurethethermoelectricvoltage,inducingathermoelectricvoltageacrossonelegofthemeasurementelectrodes.Themeasuredthermopowerthenincludesthethermopowerofthematerialofinterestandthematerialofthemeasurementelectrodesandiswrittenas:
SuperconductorshaveS=0sincethechargedcarriersproducenoentropy.Thisallowsadirectmeasurementoftheabsolutethermopowerofthematerialofinterest,sinceitisthethermopoweroftheentirethermocouple.Inaddition,ameasurementoftheThomsoncoefficient
ofamaterialyieldsthethermopowerthroughtherelation
Sisanimportantmaterialparameterthatdeterminestheefficiencyofathermoelectricmaterial;alargerinducedthermoelectricvoltageandahigherSmeanahigherefficiency.
[edit]Charge-carrierdiffusion
TheSeebeckcircuitconfiguredasathermoelectriccooler.
Thesamecircuitconfiguredasagenerator.
TheSeebeckeffectiscausedbytwothings:
charge-carrierdiffusionandphonondrag.Chargecarriersinthematerialswilldiffusewhenoneendofaconductorisatadifferenttemperaturethantheother.Hotcarriersdiffusefromthehotendtothecoldend,sincethereisalowerdensityofhotcarriersatthecoldendoftheconductor,andviceversa.Iftheconductorwerelefttoreachthermodynamicequilibrium,thisprocesswouldresultinheatbeingdistributedevenlythroughouttheconductor(seeheattransfer).Themovementofheat(intheformofhotchargecarriers)fromoneendtotheotherisaheatcurrentandanelectriccurrentaschargecarriersaremoving.
Inasystemwherebothendsarekeptataconstanttemperaturedifference,thereisaconstantdiffusionofcarriers.Iftherateofdiffusionofhotandcoldcarriersinoppositedirectionsisequal,thereisnonetchangeincharge.Thediffusingchargesarescatteredbyimpurities,imperfections,andlatticevibrationsorphonons.Ifthescatteringisenergydependent,thehotandcoldcarrierswilldiffuseatdifferentrates,creatingahigherdensityofcarriersatoneendofthematerialandanelectrostaticvoltage.
Thiselectricfieldopposestheunevenscatteringofcarriers,andanequilibriumisreachedwherethenetnumberofcarriersdiffusinginonedirectioniscanceledbythenetnumberofcarriersmovingintheoppositedirection.Thismeansthethermopowerofamaterialdependsgreatlyonimpurities,imperfections,andstructuralchangesthatvarywithtemperatureandelectricfield;thethermopowerofamaterialisacollectionofmanydifferenteffects.[citationneeded]
Earlythermocouplesweremetallic,butmanymorerecentlydevelopedthermoelectricdevicesaremadefromalternatingp-typeandn-typesemiconductorelementsconnectedbymetallicconnectors.Semiconductorjunctionsarecommoninpowergenerationdevices,whilemetallicjunctionsaremorecommonintemperaturemeasurement.Chargeflowsthroughthen-typeelement,crossesametallicinterconnect,andpas
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