版权说明:本文档由用户提供并上传,收益归属内容提供方,若内容存在侵权,请进行举报或认领
文档简介
AnalyticalChemistry
分析化学AnalyticalChemistry
分析化学Chapter10SpectrophotometryChapter10Spectrophotometry§10.1
Generalization§10.2
FundamentalLawsofPhotometry§10.3
PrinciplesofInstrumentation§10.4
Color-developingReactions§10.5PhotometricMeasurement§10.1Generalization§10.1Generalization
Waveandparticle.Thewavepropertiescanbeexpressedbywavelength、frequency,speedoflightc,etc:
=c
Lightconsistsofastreamofdiscreteparticlescalledphotons,eachpossessingtheenergyE:
E=h=hc/
(Planck
constant:h=6.62610-34J·
S)§10.1GeneralizationWaveandGeneralization
Theshorterthewavelength,thelargertheenergy.(1)Whitelight:polychromiclight(2)
Monochromiclight:lightconsistsofphotonswithsamewavelength.
Ultraviolet:vacuumultraviolet10~200nm,nearultraviolet200~400nm.Visible:400~750nm(3)TheintensityofabeamisproportionaltothenumberofphotonspersecondthatarepropagatedinthebeamGeneralizationTheshorterTheselectiveabsorbanceandabsorbancecurveM+heatM+fluorescenceorphosphorescenceE=E2-
E1=h
:quantum,selectiveabsorbance,absorbancecurveand
max,
theabsorptionoflightasafunctionofwavelength.M+
h
→M*groundstateexcitedstateE1
(△E)E2TheselectiveabsorbanceandaAbsorbancecurve(1)Forthesamesubstance,the
absorbanceisdifferentatdifferentwavelength.Thewavelengthatwhichtheabsorptionisthelargestisλmax(2)Forthesamesubstanceofdifferent
c,theabsorbancecurvehavesimilarshapeandsameλmax.(3)Absorbancecurvecanbeusedforthequalitativeanalysis.(4)Atλmax,thechangeofabsorbancewithconcentrationisthelargest,thedeterminationismost
sensitive.Theabsorbancecurvecanbeusedforselectionofwavelength.Absorbancecurve(1)Forthesa§10.2FundamentalLawsof
Photometry(3)ThefundamentallawofspectrophotometryknownastheLambert-Beer’slaworsimplyBeer’slawmaybestatedas:
A=lg(I0/It)=εbc
1.Lambert—Beer’slaw(1)
BouguerandLambertfoundtherelationshipbetweenabsorbanceandlightpathin1729and1760.A∝bmoving1moving2(2)In1852Beerpointedoutthatthereissimilarrelationshipbetweentheabsorbanceandconcentration.A∝c§10.2FundamentalLawsof
Lambert—Beer’slawLambert-Beer’slaworsimplyBeer’slawmaybestatedas:
A=lg(I0/It)=εbc
whereA:absorbance;
b:lightpath,cm;
c:molarconcentration,mol·L-1;
ε:molarabsorptivity,L·mol-1·cm-1;or:A=lg(I0/It)=abc
c:concentration,g·L-1
a:absorptivity,L·g-1·cm-1
aandε:a=ε/M(M:molarmass)Lambert—Beer’slawLambert-BeerTransmittance:TT
:ratiooftheradiantpowertransmittedtotheincidentradiantpower:
T=It/I0RelationshipbetweenAandT:
A=-lgT
(1)Lambert-Beer’sLawisthequantitativebaseforspectrophotometry,widelyusedinthedeterminationofconcentrationwithultraviolet,visible,andinfraredlights.(2)Molarabsorptivityεequalstheabsorbanceof1mol/Lsolutionand1cmlightpath.(3)Absorptivitya(L·g-1·cm-1)equalstheabsorbanceof1g/Lsolutionand1cmlightpath.Transmittance:TT:ratiooft2.Molarabsorptivityε(1)Characteristicconstantundercertainconditionforacertainsubstance.(2)Notchangewithcandwavepathb.Undercertaintemperatureandwavelength,εisonlydecidedbythenatureofthesubstance.(3)Canbeusedforqualitativeanalysis.(4)εisdifferentatdifferentwavelength.Molarabsorptivityatλmax
isexpressedasεmax.
Ε>105:ultrahighsensitive;
ε=(6~10)×104:highsensitive;
ε=(2~6)×104:mediumsensitive
ε<2×104:notsensitive。2.Molarabsorptivityε(1)CharaDiscrepancyofLambert-beer’slaw
Therelationshipbetweentheabsorbanceandconcentrationmaybenonlinear,whichisthediscrepancyofLambert-Beer’sLaw.
Thediscrepancymaybecausedby:(1)PhysicalfactorTheabsorbingbandisnotcompletelyresolved;
(2)Chemicalfactor
ThestateoftheabsorbingcomponentchangeswithconcentrationLambert-BeerLawshouldbeexpectedtoapplyonlyatlowconcentration,Athighconcentraions,diviationmayoccurDiscrepancyofLambert-beer’s§10.3Instrumentation
1.Spectrophotometers§10.3Instrumentation
1.SpecSpectrophotometersSpectrophotometersInnerstructure
Innerstructure2.InstrumentalcomponentsLightSourceMono-chromatorSampleDetectorReadout(1)Lightsource
Asourceofcontinuousradiationoverthewavelengthsofinterestwithhighintensity,goodstabilityandlonglife.
Visible:tungstenhalogenlamp,wavelength320~2500nm。
Ultraviolet:deuteriumlamp,185~400nm.moving2.InstrumentalcomponentsLigh(2)Monochromators
Usedtoselectrediationofanarrowwavelengthrangefromacontinuoussource.①Entranceslit:fromtheslit,lightgointomonochromator②Collimatingdevice:alensormirrorthatcauseslighttotravelasparallelrays
③Dispersiondevice:prismordiffractiongratingtoselectthelightofdifferentwavelengths④Focusinglensormirror⑤Exitslit(2)MonochromatorsUsedto(3)Cells
Cellsusedinthevisibleregionaremadeofopticalqualitysilicateglass.Atshorterwavelengths,itisnecessarytousesometypeofquartzorsilicacell.Suchcellscanalsobeusedabove320nm.(5)Instrumentalreadout
Adigitalreadoutorascalereadout.(4)Detectors
Aphototubeiscommonlyusedtochangethelightsignaltoelectricalsignal(3)CellsCellsusedinthe§10.4Color-developingReactions1.Howtochoosethecolordevelopingreaction
Highsensitivity,highselectivity,stableproduct.Thechromagenicreagentshouldhaslittleabsorbanceatthewavelengthdetermined.(1)Complexcolor-developingreactions
Metalionscomplexedwithchromagenicreagenttoformchromaticproducts.§10.4Color-developingReactio(2)Redoxcolor-developingreactions
WhentheoxidizedformsofsomeelementsasMn(Ⅶ)andCr(Ⅵ)haveintensiveabsorbance,thecolorcanbedevelopedbyredoxreactions.
Example:determinationofMninsteel,Mn2+cannotbedeterminedbyspectrophotometryderectly2Mn2++5S2O82-+8H2O=2MnO4++10SO42-+16H+
Mn2+isoxidizedtoMnO4+(purple),andcanbedeterminedat525nm.(2)Redoxcolor-developingrea2.Chooseconditionsforcolordevelopingreaction(1)Amountofthechromogenicreagentadded(2)Acidityofmedium
UndersameconditionanddifferentpH,theabsorbanceisdetermined.ChoosepHofhighandstableabsorbance.(3)Temperatureandstabilityperiod
Decidedbyexperiment(4)InterferencesShouldbeeliminatedbyusingadequatemethods.2.Chooseconditionsforcolor3.Eliminationofinterference(1)Maskingagent
Howtochoose:(a)Shouldnotreactwiththeanalyte;(b)Theproductofmaskingagentwithinterferenceshouldnotinterfereinthedeterminationofanalyte.Example:fordeterminationofTi4+,H3PO4
isaddedasmaskingagent,Fe3+(yellow)
ischangedtoFe(PO4)23-(noncolor),thuseliminatetheinterference
ofFe3+.(2)Choosesuitableconditionforcolordevelopingreaction(3)Separatetheinterference3.Eliminationofinterference4.Chooseconditionsfordetermination(1)Choosesuitableincidentwavelength
Normallyλmax
ischosenasincidentwavelength.Ifthereisinterferenceatλmax,awavelengthoflowersensitivityandlittleinterferenceshouldbechosen.4.Chooseconditionsfordete(2)ChoosesuitablereferencesolutionWhyusereferencesolution?
Theabsorbancedeterminedshouldbetheabsorbanceofanalyte.Howtochoose:①Ifonlytheproductofanalytewithchromagenicagenthasabsorbance,choosewaterasthereferencesolution;②
Ifthechromagenicagentorotheragenthaveabsorbance,theanalytesolutionhasnoabsorbance,choose“reagentblank”(notaddanalyte);③Ifanalytehasabsorbance,choose“analyteblank”;④Ifchromagenicagentandanalytebothhaveabsorbance,choosethesuitablemaskingagentaddedtotheanalytethenthechromagenicagentisaddedasthereference.(2)Choosesuitablereference(3)ControltheabsorbancewithinsuitablerangeatdifferentT,differenterror:
-lgT=εbcdifferent:-dlgT=-0.434dlnT
=-0.434T-1dT
=εbdcdivide:dc/c=(0.434/TlgT)dT
Δc/c=(0.434/TlgT)ΔT
relativeerror(Δc/c)isdecidedbyΔTandT.(3)ControltheabsorbancewitRangeofminimumrelativeerrorIf:ΔT=1%,therelationshipbetweenΔc/candT:WhenΔT=1%,andT
isbetween2%~65%,therelativeerrorislittle.SoTshouldbecontrolledwithinT%=20~65%(A=0.70~0.20).Tofminimumrelativeerror
Tmin=36.8%,Amin=0.434RangeofminimumrelativeerroHowtoimprovesensitivityandselectivity(1)Synthesizechromagenicagentofhighsensitivity(2)Separationandenrichment(3)Multicomplexchromagenicsystem
Onekindofmetalioncomplexwithtwoormoreligandtoformcomplexes.
Multicomplexchromagenicreactionsisofhighsensitivity.Howtoimprovesensitivityand§10.5Photometricmeasurement
1.Normalspectrophotometry(1)Normalspectrophotometry
singlecomponentA~ccalibrationcurve§10.5Photometricmeasurement(2)Multicomponents
a.Donotinterfereeachother,canbedeterminedundermax.
b.Interferewitheachother,Aλ1=εaλ1bca+εbλ1bcb
Aλ2=εaλ2bca+εbλ2bcb
(2)Multicomponentsa.Don2.Differentialspectrophotometry(1)Whentheconcentrationofthecomponentishigh,theerrorishighinnormalspectrophotometry,thenthedefferentialspectrophotometryisapplied.(2)Indefferentialspectrophotometry,intensityofincidentlightishigh,standardsolutionofalittlelowerconcentrationisusedasreference.If:cx,
cs(cs<cx),then:
Ax=εbcx
As=εbcs
A=Ax-As=εb(cx-
cs)=εb
c
cx=cs+c
2.DifferentialspectrophotometNormal:
cs:T=10%;cx:T=5%Differential:
cs
:reference,T=100%cx:T=50%;10timesextendedNormal:3.Dualwave-lengthspectrophotometry
Dualwave-length(λ1,λ2);referenceisnotneeded.Highsensitivityandselectivity
A=Aλ2-Aλ1=(ελ2-ελ1)bc
Aisproportionaltoc.
Ελ1,ελ2
ismolarabsorptivityatλ1
andλ2.
Keyfactoristochooseλ2
andreferenceλ1.Twocomponent:
x,yifx
istobedetermined,y
isinterference,thedifferenceofabsorbanceisAx
andAy,thenAx+y:
Ax+y=Ax+Ay3.Dualwave-lengthspectrophoHowtochooseλ1,λ2
⑴Atλ1,λ2,theinterferencehassameabsorbance
Ay=Ayλ2-Ayλ1=0then:Ax+y=Ax=(εxλ2-εxλ1)bcx
Adeterminedisproportionaltocx.
⑵Atλ1,λ2,Ax
shouldbelargeenough
choosethewavelengthbyabsorbanceplotHowtochooseλ1,λ2⑴Atλ1,λ2,4.Derivativespectrophotometry
Multicomponentscanbedeterminedatthesametime,eliminatingtheinterference.
Thetransmittancewiththewavelength:
I=I0e-εbcifI0
isconstant:
dI
0/dλ=0than:dI/dλ=-I0
bce-εbc
dε/dλ=-I0
bcdε/dλ
thesecondandthirdderivative.
4.Derivativespectrophotometr分析化学英文课件10分光光度法-SpectrophotometryAnalyticalChemistry
分析化学AnalyticalChemistry
分析化学Chapter10SpectrophotometryChapter10Spectrophotometry§10.1
Generalization§10.2
FundamentalLawsofPhotometry§10.3
PrinciplesofInstrumentation§10.4
Color-developingReactions§10.5PhotometricMeasurement§10.1Generalization§10.1Generalization
Waveandparticle.Thewavepropertiescanbeexpressedbywavelength、frequency,speedoflightc,etc:
=c
Lightconsistsofastreamofdiscreteparticlescalledphotons,eachpossessingtheenergyE:
E=h=hc/
(Planck
constant:h=6.62610-34J·
S)§10.1GeneralizationWaveandGeneralization
Theshorterthewavelength,thelargertheenergy.(1)Whitelight:polychromiclight(2)
Monochromiclight:lightconsistsofphotonswithsamewavelength.
Ultraviolet:vacuumultraviolet10~200nm,nearultraviolet200~400nm.Visible:400~750nm(3)TheintensityofabeamisproportionaltothenumberofphotonspersecondthatarepropagatedinthebeamGeneralizationTheshorterTheselectiveabsorbanceandabsorbancecurveM+heatM+fluorescenceorphosphorescenceE=E2-
E1=h
:quantum,selectiveabsorbance,absorbancecurveand
max,
theabsorptionoflightasafunctionofwavelength.M+
h
→M*groundstateexcitedstateE1
(△E)E2TheselectiveabsorbanceandaAbsorbancecurve(1)Forthesamesubstance,the
absorbanceisdifferentatdifferentwavelength.Thewavelengthatwhichtheabsorptionisthelargestisλmax(2)Forthesamesubstanceofdifferent
c,theabsorbancecurvehavesimilarshapeandsameλmax.(3)Absorbancecurvecanbeusedforthequalitativeanalysis.(4)Atλmax,thechangeofabsorbancewithconcentrationisthelargest,thedeterminationismost
sensitive.Theabsorbancecurvecanbeusedforselectionofwavelength.Absorbancecurve(1)Forthesa§10.2FundamentalLawsof
Photometry(3)ThefundamentallawofspectrophotometryknownastheLambert-Beer’slaworsimplyBeer’slawmaybestatedas:
A=lg(I0/It)=εbc
1.Lambert—Beer’slaw(1)
BouguerandLambertfoundtherelationshipbetweenabsorbanceandlightpathin1729and1760.A∝bmoving1moving2(2)In1852Beerpointedoutthatthereissimilarrelationshipbetweentheabsorbanceandconcentration.A∝c§10.2FundamentalLawsof
Lambert—Beer’slawLambert-Beer’slaworsimplyBeer’slawmaybestatedas:
A=lg(I0/It)=εbc
whereA:absorbance;
b:lightpath,cm;
c:molarconcentration,mol·L-1;
ε:molarabsorptivity,L·mol-1·cm-1;or:A=lg(I0/It)=abc
c:concentration,g·L-1
a:absorptivity,L·g-1·cm-1
aandε:a=ε/M(M:molarmass)Lambert—Beer’slawLambert-BeerTransmittance:TT
:ratiooftheradiantpowertransmittedtotheincidentradiantpower:
T=It/I0RelationshipbetweenAandT:
A=-lgT
(1)Lambert-Beer’sLawisthequantitativebaseforspectrophotometry,widelyusedinthedeterminationofconcentrationwithultraviolet,visible,andinfraredlights.(2)Molarabsorptivityεequalstheabsorbanceof1mol/Lsolutionand1cmlightpath.(3)Absorptivitya(L·g-1·cm-1)equalstheabsorbanceof1g/Lsolutionand1cmlightpath.Transmittance:TT:ratiooft2.Molarabsorptivityε(1)Characteristicconstantundercertainconditionforacertainsubstance.(2)Notchangewithcandwavepathb.Undercertaintemperatureandwavelength,εisonlydecidedbythenatureofthesubstance.(3)Canbeusedforqualitativeanalysis.(4)εisdifferentatdifferentwavelength.Molarabsorptivityatλmax
isexpressedasεmax.
Ε>105:ultrahighsensitive;
ε=(6~10)×104:highsensitive;
ε=(2~6)×104:mediumsensitive
ε<2×104:notsensitive。2.Molarabsorptivityε(1)CharaDiscrepancyofLambert-beer’slaw
Therelationshipbetweentheabsorbanceandconcentrationmaybenonlinear,whichisthediscrepancyofLambert-Beer’sLaw.
Thediscrepancymaybecausedby:(1)PhysicalfactorTheabsorbingbandisnotcompletelyresolved;
(2)Chemicalfactor
ThestateoftheabsorbingcomponentchangeswithconcentrationLambert-BeerLawshouldbeexpectedtoapplyonlyatlowconcentration,Athighconcentraions,diviationmayoccurDiscrepancyofLambert-beer’s§10.3Instrumentation
1.Spectrophotometers§10.3Instrumentation
1.SpecSpectrophotometersSpectrophotometersInnerstructure
Innerstructure2.InstrumentalcomponentsLightSourceMono-chromatorSampleDetectorReadout(1)Lightsource
Asourceofcontinuousradiationoverthewavelengthsofinterestwithhighintensity,goodstabilityandlonglife.
Visible:tungstenhalogenlamp,wavelength320~2500nm。
Ultraviolet:deuteriumlamp,185~400nm.moving2.InstrumentalcomponentsLigh(2)Monochromators
Usedtoselectrediationofanarrowwavelengthrangefromacontinuoussource.①Entranceslit:fromtheslit,lightgointomonochromator②Collimatingdevice:alensormirrorthatcauseslighttotravelasparallelrays
③Dispersiondevice:prismordiffractiongratingtoselectthelightofdifferentwavelengths④Focusinglensormirror⑤Exitslit(2)MonochromatorsUsedto(3)Cells
Cellsusedinthevisibleregionaremadeofopticalqualitysilicateglass.Atshorterwavelengths,itisnecessarytousesometypeofquartzorsilicacell.Suchcellscanalsobeusedabove320nm.(5)Instrumentalreadout
Adigitalreadoutorascalereadout.(4)Detectors
Aphototubeiscommonlyusedtochangethelightsignaltoelectricalsignal(3)CellsCellsusedinthe§10.4Color-developingReactions1.Howtochoosethecolordevelopingreaction
Highsensitivity,highselectivity,stableproduct.Thechromagenicreagentshouldhaslittleabsorbanceatthewavelengthdetermined.(1)Complexcolor-developingreactions
Metalionscomplexedwithchromagenicreagenttoformchromaticproducts.§10.4Color-developingReactio(2)Redoxcolor-developingreactions
WhentheoxidizedformsofsomeelementsasMn(Ⅶ)andCr(Ⅵ)haveintensiveabsorbance,thecolorcanbedevelopedbyredoxreactions.
Example:determinationofMninsteel,Mn2+cannotbedeterminedbyspectrophotometryderectly2Mn2++5S2O82-+8H2O=2MnO4++10SO42-+16H+
Mn2+isoxidizedtoMnO4+(purple),andcanbedeterminedat525nm.(2)Redoxcolor-developingrea2.Chooseconditionsforcolordevelopingreaction(1)Amountofthechromogenicreagentadded(2)Acidityofmedium
UndersameconditionanddifferentpH,theabsorbanceisdetermined.ChoosepHofhighandstableabsorbance.(3)Temperatureandstabilityperiod
Decidedbyexperiment(4)InterferencesShouldbeeliminatedbyusingadequatemethods.2.Chooseconditionsforcolor3.Eliminationofinterference(1)Maskingagent
Howtochoose:(a)Shouldnotreactwiththeanalyte;(b)Theproductofmaskingagentwithinterferenceshouldnotinterfereinthedeterminationofanalyte.Example:fordeterminationofTi4+,H3PO4
isaddedasmaskingagent,Fe3+(yellow)
ischangedtoFe(PO4)23-(noncolor),thuseliminatetheinterference
ofFe3+.(2)Choosesuitableconditionforcolordevelopingreaction(3)Separatetheinterference3.Eliminationofinterference4.Chooseconditionsfordetermination(1)Choosesuitableincidentwavelength
Normallyλmax
ischosenasincidentwavelength.Ifthereisinterferenceatλmax,awavelengthoflowersensitivityandlittleinterferenceshouldbechosen.4.Chooseconditionsfordete(2)ChoosesuitablereferencesolutionWhyusereferencesolution?
Theabsorbancedeterminedshouldbetheabsorbanceofanalyte.Howtochoose:①Ifonlytheproductofanalytewithchromagenicagenthasabsorbance,choosewaterasthereferencesolution;②
Ifthechromagenicagentorotheragenthaveabsorbance,theanalytesolutionhasnoabsorbance,choose“reagentblank”(notaddanalyte);③Ifanalytehasabsorbance,choose“analyteblank”;④Ifchromagenicagentandanalytebothhaveabsorbance,choosethesuitablemaskingagentaddedtotheanalytethenthechromagenicagentisaddedasthereference.(2)Choosesuitablereference(3)ControltheabsorbancewithinsuitablerangeatdifferentT,differenterror:
-lgT=εbcdifferent:-dlgT=-0.434dlnT
=-0.434T-1dT
=εbdcdivide:dc/c=(0.434/TlgT)dT
Δc/c=(0.434/TlgT)ΔT
relativeerror(Δc/c)isdecidedbyΔTandT.(3)ControltheabsorbancewitRangeofminimumrelativeerrorIf:ΔT=1%,therelationshipbetweenΔc/candT:WhenΔT=1%,andT
isbetween2%~65%,therelativeerrorislittle.SoTshouldbecontrolledwithinT%=20~65%(A=0.70~0.20).Tofminimumrelativeerror
Tmin=36.8%,Amin=0.434RangeofminimumrelativeerroHowtoimprovesensitivityandselectivity(1)Synthesizechromagenicagentofhighsensitivity(2)Separationandenrichment(3)Multicomplexchromagenicsystem
Onekindofmetalioncomplexwithtwoormoreligandtoformcomplexes.
Multicomplexchromagenicreactionsisofhighsensitivity.Howtoimprovesensit
温馨提示
- 1. 本站所有资源如无特殊说明,都需要本地电脑安装OFFICE2007和PDF阅读器。图纸软件为CAD,CAXA,PROE,UG,SolidWorks等.压缩文件请下载最新的WinRAR软件解压。
- 2. 本站的文档不包含任何第三方提供的附件图纸等,如果需要附件,请联系上传者。文件的所有权益归上传用户所有。
- 3. 本站RAR压缩包中若带图纸,网页内容里面会有图纸预览,若没有图纸预览就没有图纸。
- 4. 未经权益所有人同意不得将文件中的内容挪作商业或盈利用途。
- 5. 人人文库网仅提供信息存储空间,仅对用户上传内容的表现方式做保护处理,对用户上传分享的文档内容本身不做任何修改或编辑,并不能对任何下载内容负责。
- 6. 下载文件中如有侵权或不适当内容,请与我们联系,我们立即纠正。
- 7. 本站不保证下载资源的准确性、安全性和完整性, 同时也不承担用户因使用这些下载资源对自己和他人造成任何形式的伤害或损失。
最新文档
- 荆州市江陵县2025-2026学年第二学期三年级语文第八单元测试卷(部编版含答案)
- 漳州市南靖县2025-2026学年第二学期五年级语文第七单元测试卷(部编版含答案)
- 宝鸡市岐山县2025-2026学年第二学期四年级语文第七单元测试卷(部编版含答案)
- 铜仁地区石阡县2025-2026学年第二学期四年级语文第八单元测试卷(部编版含答案)
- 破碎机操作工发展趋势模拟考核试卷含答案
- 家用空调器维修工安全专项考核试卷含答案
- 柠檬酸提取工安全综合知识考核试卷含答案
- 露天采矿单斗铲司机岗前竞争分析考核试卷含答案
- 大同市南郊区2025-2026学年第二学期五年级语文期末考试卷(部编版含答案)
- 德州市德城区2025-2026学年第二学期二年级语文第八单元测试卷部编版含答案
- 钢副框制作安装合同范本
- DB23∕T 3623-2023 单位消防安全评估方法
- 肿瘤防治科普宣传资料
- 车间下班断电管理制度
- 芯片行业销售管理制度
- 急危重症患者静脉通路建立与管理
- (二统)昆明市2025届“三诊一模”高三复习教学质量检测历史试卷(含答案)
- 2025年云南省昆明嵩明县选调事业单位人员12人历年管理单位笔试遴选500模拟题附带答案详解
- 浦东教师招聘教案模板
- 通信光缆线路施工实施方案投标方案(技术标)
- “超额利润资料新提成”薪酬激励方案
评论
0/150
提交评论