P1:FPP 2ndRevisedPages Qu:00,00,00,00 EncyclopediaofPhysicalScienceandTechnology EN002C-64 May19,2001 20:39 Table of Contents (Subject Area: Analytical Chemistry) Pages in the Article Authors Encyclopedia Ulrich J. Krull and Michael Analytical Chemistry Pages 543-579 Thompson Atomic Spectrometry Vahid Majidi Pages 765-786 Auger Electron C. L. Briant Pages 787-792 Spectroscopy Capillary Zone Tim Wehr Pages 355-368 Electrophoresis Electrochemistry Donald T. Sawyer Pages 161-197 Electron Spin Larry Kevan Pages 331-345 Resonance Electrophoresis S. P. Spragg Pages 363-378 Elemental Analysis, T. S. Ma Pages 393-405 Organic Compounds Gas Chromatography Milos Novotny Pages 455-472 Infrared Spectroscopy Norman B. Colthup Pages 793-816 Liquid Neil D. Danielson Pages 673-700 Chromatography Magnetic Resonance in John F. Schenck Pages 959-981 Medicine Mass Spectrometry Kenneth L. Busch Pages 145-158 Mass Spectrometry in Jan Schuberth Pages 159-169 Forensic Science P1:FPP 2ndRevisedPages Qu:00,00,00,00 EncyclopediaofPhysicalScienceandTechnology EN002C-64 May19,2001 20:39 Microwave molecular Robert L. Cook Pages 799-852 spectroscopy Nuclear Magnetic Bernard C. Gerstein Pages 701-720 Resonance (NMR) Organic Chemistry, Raphael Ikan and Bernard Pages 459-496 Compound Detection Crammer Photoacoustic Konka Veeranjaneyulu and Pages 1-13 Spectroscopy Roger M. Leblanc Photoelectron G. Hohlneicher and A. Pages 57-90 Spectroscopy Gildenpfennig R. P. Van Duyne and C. L. Raman Spectroscopy Pages 845-866 Haynes Scanning Probe C. Daniel Frisbie Pages 469-484 Microscopy Sonoluminescence and Kenneth S. Suslick Pages 363-376 Sonochemistry Spectroscopy in Michael B. Eyring Pages 637-643 Forensic Science Thermal Analysis David Dollimore Pages 591-612 Tomography Z. H. Cho Pages 843-877 Ultrafast Spectroscopy M. Hayashi, Y. M. Chang, T. Pages 217-226 and its Applications K. Wang, S. H. Lin and X-Ray Analysis Ron Jenkins Pages 887-902 X-Ray Photoelectron Charles C. Chusuei and D. Pages 921-938 Spectroscopy Wayne Goodman P1:GJBRevisedPages Qu:00,00,00,00 EncyclopediaofPhysicalScienceandTechnology En001f25 May26,2001 14:30 Analytical Chemistry Ulrich J. Krull Michael Thompson University of Toronto I. Classical Methods II. Instrumental Methods III. Computers in Analytical Chemistry IV. Future Perspectives GLOSSARY Quantitative analysis Process of determining the rela- tiveamountsofoneormorecomponent(s)inasample Accuracy Nearness of a measurement to its accepted ofmatter. value. Resolution Theratiogivenbytheaveragemagnitudeof Analyte Species present in a sample of matter about ananalyticalvariabledividedbythesmallestdifference which chemical information is sought. of values of the analytical variable, where each value Calibration Process of determining the precise quanti- providesanalyticalsignalsthatareconsidereddistinct tative relationship between a known concentration of bystatisticaltechniques. a chemical species and a physical property of that Selective Methodinanalyticalchemistrythatyieldsare- species. sponseforagroupofchemicalspecies. Interferences Elements or chemical compounds that Sensitivity Ratioofthechangeintheresponseofanin- have similar properties to the analyte that prevent its strument with a corresponding change in the concen- direct measurement. trationofachemicalspecies. Limit of detection Concentration of a chemical species Specific Methodinanalyticalchemistrythatyieldsare- that produces an analytical signal equal to twice the sponseforasinglechemicalentityonly. standard deviation of the background signal. Standard Chemicalspecieswithwell-establishedphysi- Matrix Matter present in a sample in which the species calpropertiesthatisemployedtocalibrateananalytical being determined is dispersed. procedure. Noise Random fluctuations of analytical signal with time. Precision Statistical measure of the distribution of a se- ries of analytical determinations about the average ANALYTICAL CHEMISTRY is concerned with pro- value of the same analytical determinations. vidingqualitativeandquantitativeinformationaboutthe Qualitativeanalysis Processofidentifyingoneormore chemicalandstructuralcompositionofasampleofmat- component(s)inasampleofmatter. ter.Ahugevarietyofsamples,fromhighconcentrationsof 543 P1:GJBRevisedPages EncyclopediaofPhysicalScienceandTechnology En001f25 May7,2001 13:58 544 AnalyticalChemistry elementsinalloysteelstopart-per-billionlevelsofdrugs ganicspeciesliesintheirchemicalandphysicalbehavior. inbiologicaltissue,arehandledbytheanalyst.Thefield Forexample,reagentsareusedtoyielddistinctchemical isfoundedontheconversionofameasuredphysicalprop- effectssuchastheproductionofcoloredsolutionsorpre- erty of the species being examined to a usable signal. It cipitates,thegenerationofeasilyobservedgases,andthe isgenerallydividedintotwocategories,classicalandin- dissolutionofpreviouslyinsolublesubstances.Inatypical strumental,onthebasisofitshistoricaldevelopment.The analysis,theidentificationofseveralspeciesisrequired, overall strategy is to prepare a sample correctly, choose andinthiscircumstance,itisdesirabletoemployselective a particular method of analysis, and report the results reactionsforeachcomponentofthesystem. in a meaningful format, which may include a statistical This type of chemistry is incorporated into a strategy evaluation. that involves the separation of the original mixture into several parts in order to avoid the buildup of a highly complexarraywithaspecificsampleduetotheaddition of a number of reagents. Each part is then subjected to I. CLASSICAL METHODS an analysis of a small number of species. In summary, the analysis involves a set of sequenced separations and A. SemimicroQualitativeAnalysis identifications. A complete system of qualitative analysis is usually re- Thestrategyfortheseparationofcationsinvolvestheir stricted to the detection of a complex array of inorganic divisionintoasetofgroupsbytreatmentwithaparticular cationsandanions.Inprinciple,schemesaredevelopedto selectivereagent.Aftersolutionoftheunknowninwater, includelesscommonspeciessuchasrheniumandtellurate areagentisemployedtocauseallcationsofthegroupto anions,butmoreoftenthannotattentionisconcentratedon precipitate, with all other ions remaining in solution. A morecommoncationssuchasNa+andCu2+andoxyan- typical overall scheme (simplified) is depicted in Fig. 1. ionssuchasSO2−andNO−.Thebasisforidentifyinginor- Afterseparation,theprecipitateisreexaminedforspecific 4 3 FIGURE1 Simplifiedstrategyforseparationofcationsintogroupsforqualitativeanalysis. P1:GJBRevisedPages EncyclopediaofPhysicalScienceandTechnology En001f25 May7,2001 13:58 AnalyticalChemistry 545 cations.Asoneexampleletusconsiderthesilvergroup. and therefore the error, on reagent precipitation. The fa- TreatmentofthewhiteprecipitateofHg Cl ,AgCl,and cility with which a precipitate is removed from solution 2 2 PbCl withhotwaterresultsinsolubilizationofthelead isrelatedtotheparticlesizeofthesolidphase,whichin 2 compound to yield a colorless solution. The presence of turn is governed by the conditions that exist at the time Pb2+isconfirmedbytheadditionofK CrO ,whichgives of formation of the precipitate. Thought to be important 2 4 a yellow precipitate of PbCrO . Addition of NH OH to arethesolubilityoftheprecipitate,temperature,reactant 4 4 Hg Cl andAgClresultsineitheragraymixtureofmer- concentration,andmixingphenomena.Theseparameters 2 2 cury and HgNH Cl, confirming Hg2+, and/or colorless controlthesupersaturationthatexistsinsolutionatapar- 2 2 solutionsofAg(NH )+Cl−.Acidificationofthelatterre- ticulartime.Althoughtheusualaimistoachieveaneas- 3 2 precipitatesAgCl,identifyingthepresenceofAg+. ilymanipulatedcrystallineprecipitate,colloidalparticles Thedetectionofanionsintheoriginalsampledoesnot (10−6 to 10−4 mm in size) are sometimes obtained. In proceedinthesamewayinthatthematerialisusuallysub- these cases, the individual particles must be coagulated jectedtoaseriesofpreliminarytests.Moreover,thecation by an experimental procedure such as heating, stirring, analysisdescribedabovecanoftenbeassessedtoinferthe andtheadditionofauxiliaryelectrolyte.Themechanism presenceofcertainanions.Asamplesolutionisseparately ofthisprocessliesinthereductionofelectricalrepulsive treatedwithAgNO andBaCl ,andthevariousprecipi- forcesontheparticles.Purer,moredenseprecipitatescan 3 2 tatesofsilverandbariumareusedtoverifythepresenceof oftenbeproducedbyprecipitationfromhomogeneousso- anioniccomponents.Thisprocedureisthenfollowedby lution,wherethereagentisgeneratedinsolution.Finally, theadditionofconcentratedcoldH SO totheunknown afterfiltrationagravimetricprecipitateisheateduntilits 2 4 solid,whichresultsintheliberationofcharacteristicgases weight becomes constant. Awide rangeof temperatures (e.g.,I−givestheodorofH SandvioletfumesofI ),and (110–1200◦C)areusedforthispurpose,themostimpor- 2 2 byaseriesofconfirmatorytestsforeachanion. tantrequirementbeingweightconstancyandunequivocal On a practical level the whole analysis is performed knowledgeofthecompositionoftheprecipitateatapar- atthesemimicrolevel.Thismeansthatsamplesizesare ticulartemperature. in the range of 10 mg and solutions are of the order of Someexamplesofinorganicandorganicprecipitation 1–2mlinvolume.Specialequipmentisrequiredtohan- agents for inorganic analytes are given in Table I. dlelowvolumesofreagentsolutionsandtoavoidserious There are also methods available for the precipitation losses in separative and transfer procedures. The sepa- of organic compounds through the reaction of a partic- ration of precipitates is performed by centrifugation and ular functional group. For example, compounds with decantation,andheatingisachievedinspeciallydesigned carbonyl functional groups can be precipitated with testtubeheatingblocks. 2,4-dinitrophenylhydrazine according to the following reaction: B. GravimetricAnalysis RCHO+H NNHC H (NO ) → 2 6 3 2 2 Here,quantitativeanalysisisbasedonthemeasurementof R—CH NNHC H (NO ) ↓+H O. 6 3 2 2 2 theweightofasubstanceofpreciselyknowncomposition that is chemically related to the analyte. Most often the In summary, the gravimetric method does not require unknown is precipitated from solution by a reagent and, calibration, as is the case with many other analytical after separation and drying, is weighed. Less frequently thespeciesbeingdeterminedisvolatilized,andtheweight TABLEI TypicalInorganicandOrganicPrecipitat- ofthecondensedgasorresidualsolidservestocomplete ingAgents the analysis. The precipitate must be insoluble in water Elementprecipitated (orothersolvent)inordertominimizeobviouslosses,be Agent (weighedform) easilyfilteredandwashed,andbestableafterdryingorig- nitionprocedures.Withrespecttothefirstrequirement,an NH3 Al(Al2O3),Fe(Fe2O3) importantquantitativeparameteristhesolubilityproduct H2S Zn(ZnO),Ge(GeO2) of the compound produced from the analyte. For exam- H2SO4 Pb(PbSO4),Ba(BaSO4) ple,fortheprecipitationofSO2−withBa2+,thesolubility HCl Ag(AgCl) 4 product(K )forBaSO isdefinedby (NH4)2CO3 Bi(Bi2O3) Kspsp =[Ba2+]4(cid:2)SO24−(cid:3)=1.3×10−10 BMagCCl2l2,NH4Cl PSOO2434−−((BMagS2OP24O) 7) for a saturated solution. Clearly, this value can be used 8-Hydroxyquinoline(HQ) Al(AlQ3) to compute the loss of analyte (remaining in solution), Dimethylglyoxime(DMG) Ni(NiDMG2) P1:GJBRevisedPages EncyclopediaofPhysicalScienceandTechnology En001f25 May7,2001 13:58 546 AnalyticalChemistry methods(seelater).Accordingly,itisstillfrequentlyused ion, bases are standardized against potassium hydrogen asa“standardizing”techniqueforinstrumentalmethods. phthalate (KHC H O ). The end point in a strong acid– 8 4 4 Gravimetry, however, can be rather time consuming, es- strongbaseneutralizationtitrationisusuallyfoundfrom peciallyifalargenumberofsamplesareinvolved. theinsitubehaviorofanaddedindicator,whichisgener- allyaweakorganicacidorbasethatundergoeschemical changesexhibitingdifferentcolors.Forexample,wecan C. Titrimetric(Volumetric)Analysis writefortheacid-typeindicatorHIn In titrimetric analysis, which is often termed volumetric H O+HIn=H O++In−, analysis, we obtain the volume of a standard reagent re- 2 3 quiredtoconsumeananalytecompletely.Onapractical (color1in (color2in basisastandardsolutionofreagent,theconcentrationof acidsolution) basicsolution) whichisknownaccurately,isaddedbyaburetuntilitis Thus,itisveryimportanttoknowtherangeofhydrogen decidedthattheanalyteisjustusedup.Thisconditionis ionconcentration(i.e.,pH)inwhichachangefromcolor usually called the equivalence point. Since it is difficult 1tocolor2canbeobserved.Generally,thisoccurswithin toobservethispointexperimentally,itisusuallyapprox- approximately±1pHunitofthepK oftheindicator. imatedbythedistinctionofanendpoint,whichisasso- a The titration of a strong acid solution by additions of ciatedwithdetectablephysicalchangesatequivalence.It a standard strong base solution from a buret would re- isgenerallythecasethatstandardsolutionsarecalibrated sult theoretically in the lower graph shown in Fig. 2 (the against solutions of a primary standard that is a highly titrationcurve).Accordingly,wewouldrequireanadded pureandstablereferencesubstance. indicatortorespondtotheabruptapproximately3–10pH Inthepresentdescriptionweintroducefourtypesofvol- change.Inthiscase,phenolphthaleinwouldbeappropri- umetricanalysis.Oneinvolvestheneutralizationofacidor ate, since its change from colorless to purple is easily base,thesecondisconcernedwithprecipitation,thethird detected by the eye. The titration curve for a weak acid with complex formation, and the fourth with oxidation– (withstrongbase)dependsverymuchonthedissociation reduction reactions. Before doing this we must consider constantoftheacid.Basically,additionsofbasesetupa severaldefinitions.Theequivalentweightofasubstanceis buffer zone as in the set of curves shown in Fig. 2 (upper generallytheweightthatcombineswithastandardamount curve).Thechoiceofanindicatorforthistypeoftitration ofreactant.Theparameterisbasedentirelyonthenature issignificantlymorelimitedthanforastrongacid,since ofaparticularreactionand,therefore,canhavenomore there is now no abrupt change in pH. Not surprisingly, precisemeaningatthisstage.Titrationreferstothepro- theappropriatecurvesforpolyproticweakacidsareeven cessofgradualadditionofstandardreagent,whereasthe morecomplex. titerofasolutionistheweightofasubstancethatischem- Neutralization methods are employed wherever inor- icallyequivalentto1mlofthesolution.Finally,oneoften ganicororganicsubstancespossessacidicorbasicgroups. sees the term normality, which expresses the number of An important application is the conversion of elements milliequivalentsofsolutecontainedin1mlofsolution. The end point in titrimetric methods is usually based onawayofdynamicallydistinguishinganalyteorreagent concentration.Themostwidelyusedmethodischangein color due to reagent, analyte, or indicator, but the moni- toringofelectricalpotentialandcurrent,andturbidity,are sometimesused. 1. NeutralizationTitrations Inthistechniquetheconcentrationofacidorbaseisde- terminedthroughtheabruptchangeofpHthatoccursat thetitrationendpoint.Here,theequivalentweightofthe acidorbaseistheweightthateithercontributesorreacts with1molofhydrogenioninthatspecificreaction.The standard reagents used in the titration are always strong acidsorbases,althoughtheanalytemaybeaweakacid orbase.A-standardacidsolutioncanbepreparedbytitra- FIGURE 2 Neutralization titration curves for 50 ml of 0.05M tionoftheacid,sayHCl,againstasolutioncontainingan strongacid(lowercurve)andweakacid(uppercurve)with0.1M accurately known weight of Na2CO3. In a similar fash- NaOHsolution. P1:GJBRevisedPages EncyclopediaofPhysicalScienceandTechnology En001f25 May7,2001 13:58 AnalyticalChemistry 547 in organic or biological systems to acid–base character. of Cl− and Br− is that of Mohr, who used chromate ion Forexample,organicnitrogenisconvertedtoNH+inthe (CrO2−),theendpointbeingspecifiedbytheappearence 4 4 Kjedahlmethodtobedeterminedinaneutralizationpro- of Ag CrO , which is brick red in color. The essence of 2 4 cedureasliberatedNH . theprinciplehereisthatthesolubilityofsilverchromate 3 ismuchgreaterthanthatofsilverhalide.Accordingly,the conditions of the titration can be adjusted such that the 2. PrecipitationTitrations formationofsilverchromateoccursonlyinthevicinityof theendpoint.IntheVolhardmethodastandardsolutionof Inthismethod,thereagentsolution,addedfromaburet, thiocyanateion(SCN−)istitratedagainstAg+usingFe3+ isallowedtocauseprecipitationwiththeanalyte,andthe astheindicator.AttheinitialexcessofSCN−,aredcolor endpointisassociatedwithanabruptchangeinthecon- duetoredFe(SCN)2+isproduced.Animportantapplica- centrationofthereagentspecies.Theequivalentweightof tionofthismethodisthe“backtitration”procedureforthe aparticipantinaprecipitationtitrationistheweightthat Cl−ion.Here,anexcessofstandardsilvernitratesolution reactswithorprovides1gformulaweightofthereacting is added to the unknown Cl− solution and then titrated cation if it is univalent (0.5 for divalent, etc.). The tech- with SCN− with the Volhard indicator in place. Finally, niquecanbebestunderstoodbytheexampleprovidedby adsorptionindicators(Fajansmethod)areemployedthat thelong-standingsilverionprocedureforthedetermina- tionofhalideanion,particularlyCl− (sometimestermed arebasedontheadsorptionofacoloredorganiccompound totheprecipitate,onlyinthevicinityoftheendpoint. argentometrictitration).Typicaltitrationcurvesforvari- ous halide anions with silver cation are shown in Fig. 3. Notice that the concentration of the free reagent cation 3. ComplexometricTitrations presentataparticularpointinthetitrationisusuallyex- pressedas−log[Ag+],thatis,pAg,inafashionanalogous Titrimetric methods based on the reaction of metal to pH for hydronium ion. Before the equivalence point ions with a coordinating species (ligand) are more than (withabruptchangeofpAg),theconcentrationofAg+is 100 years old. If the ligand is attached to the metal by determined by the solubility product of the silver halide morethanonefunctionalgroup,itissaidtobepolyden- concerned.Afterthispointwesimplyhavetheconcentra- tateandthecompoundproducediscalledachelate.The tion of excess added reagent, which is not now reacting complexometricreagentthatiseasilythemostwidelyused withhalideanion.Todetecttheendpointanindicatoris for the titration of unknown concentrations of metal ion required that will respond to the particular range of abrupt isthehexadentateligandethylenediaminetetraaceticacid pAgchangeshowninFig.3.Acommonmethodinthecase (EDTA),firstrecognizedbySchwarzenbachin1945.The structureofthemoleculeis HOOC−CH CH −COOH 2 2 \\ / N−CH −CH −N / 2 2 \ HOOC−CH CH −COOH 2 2 andisusuallyabbreviatedtotheshorthandnotationH Y, 4 withHrepresentingthecarboxylichydrogenatoms.This reagent is extremely important because it forms simple 1:1complexeswithametalion,thatis,onemetalatom tooneEDTAmoleculeofveryhighstability.Notethatthe latterisassociatedwiththerelativelylargenumber(6)of points of attachment (4 × COO−+2×N) of the ligand tothemetal. Inthenowfamiliarpatterndiscussedabove,thetitration involvestheburetadditionofEDTAsolutiontothemetal ion solution, which generates a titration curve with an abrupt change in −log[Mn+] (pM). This is governed by the equilibrium constant for the formation of the metal– FIGURE3 Precipitationtitrationcurvesfor25mlof0.1M solu- tionsofvariousanionswith0.1MAgNO3solution. EDTAcomplex: P1:GJBRevisedPages EncyclopediaofPhysicalScienceandTechnology En001f25 May7,2001 13:58 548 AnalyticalChemistry (cid:2) (cid:3) MY(n−4)+ TABLE II Common Oxidizing and Reducing Agents Em- KMY = [Mn+][Y4−], ployedasStandardSolutionsinOxidation–ReductionTitra- tions Note the analogy of this result with that outlined for Oxidizing Reduction the effect of solubility product in precipitation titrations Reagent species Product discussed above. A great many compounds have been proposedasindicatorsformetalionsinEDTAtitrations. Oxidizing Thesespeciesaregenerallyorganiccompoundsthatform Potassiumpermanganate,KMnO4 MnO−4 Mn2+ colored chelates with metal ions in a range of pM that Potassiumbromate,KBrO3 BrO−3 Br− is characteristic of the cation and dye. One example is Ceriumammoniumnitrate, Ce4+ Ce3+ EriochromeblackT,whichisblueatpH7andredwhen Ce(NO3)42NH4NO3 complexedwithavarietyofmetalions. Potassiumdichromate,K2Cr2O7 Cr2O27− Cr3+ EDTA titrations are still widely used because of their Potassium,iodate,KlO3 IO−3 I− greatversatilitywithrespecttotheanalysisofalargenum- Reducing Oxidation berofdifferentmetalcations.Furthermore,thetechnique species product can be made more selective by adjusting the pH or by Reducing tchaetiounsesforfocmomthpeotuitnradtsiothna(tmeaffsekcitnivgealgyernetm).oTvheeinmteerthfeordinigs SFoerdriouumsathmiomsounlfiautme,Nsual2faSt2eO,3 SF2eO223+− SF4eO326+− inexpensiveandreasonablyaccurate. Fe(NH4)2(SO4)2·6H2O 4. Oxidation–ReductionTitrations derive Here, we are dealing with the reaction of an oxidizing (reducing) reagent as titrant with a reducing (oxidizing) E0 +5E0 species as unknown. The equivalent weight of a partici- Eeq = Fe3+ MnO−4 6 pant in this type of system is the weight that directly or (cid:2) (cid:3) indirectlyproducesorconsumes1molofelectrons.Thus, −0.0591log 5 MnO(cid:2) −4 [Mn(cid:3)2+] . theequivalentweightforthepermanganateion(MnO−) 6 5[Mn2+] MnO− [H+]8 4 4 initsoxidationofoxalateanioninthereaction Thus, 5C→2O241−0C+O22M+nO2M−4 n+2+16+H8+H2O Eeq = EF0e3+ +65EM0nO−4 − 0.06591log[H1+]8. isthemolecularweightofMnO−dividedby5. In much the same manner as for the other types of 4 A great variety of both oxidizing and reducing agents titrationdescribedabove,itistheelectrodepotentialdur- have been employed for this type of titration, and some ing the procedure that exhibits an abrupt change on ad- commoncompoundsaregiveninTableII.Theequivalence ditionofreagent.Accordingly,werequireindicatorsthat point of oxidation–reduction titrations can be computed changecolorduringthischange(i.e.,thatshowoxidation– fromaknowledgeofsolutionconcentrationsandelectri- reductionbehaviorthemselves).Twoexamplesare1,10- calpotentials.Forexample,inthetitrationofferrousion phenanthroline–iron (II) complex, which changes from againstKMnO accordingtothefollowingreaction pale blue to red at an electrical potential of+1.11 V (in 4 1M H SO ), and diphenylaminesulfonic acid, which 5Fe2++MnO−4 +8H+ →5Fe3++Mn2++4H2O, change2sfro4mcolorlesstovioletat0.85V. we can write Nernst electrode potentials for each oxidation–reductionsystem: II. INSTRUMENTAL METHODS [Fe2+] E = E0 −0.0591log Fe3+ [Fe3+] A. AbsorptionofElectromagneticRadiation 0.0591 [Mn2+] Matter interacts with incident electromagnetic radiation E = EM0nO−4 − 5 log(cid:2)MnO−(cid:3)[H+]8, bythethreedistinctprocessesoftransmission,scattering, 4 orabsorption.Thenatureofanyinteractionisafunctionof At the equivalence point we know that these two poten- thepropertiesoftheradiation,suchasenergy,phase,po- tials,nowcalled E ,areequal;therefore,onaddingwe larization,andthechemicalpropertiesofthematterunder eq P1:GJBRevisedPages EncyclopediaofPhysicalScienceandTechnology En001f25 May7,2001 13:58 AnalyticalChemistry 549 FIGURE4 Analyticalpotentialforabsorptionspectroscopyacrosstheelectromagneticspectrum. investigation.Chemicalevaluationisderivedfromobser- concentrationoftheanalyte,andArepresentsavaluefor vationoftheextentofinteractionbymeasurementofthe absorption. energy and intensity of transmitted, scattered, absorbed, orlatentlyreleasedradiation. 1. AtomicAbsorption Absorption is said to occur when radiation passes through matter and interacts with the ions, atoms, or Theabsorptionofradiationbyasampleofatomicparti- moleculesconstitutingthesampleinsuchawaythatthey cles, created by vaporizing the sample, represents a rel- gainenergyandmovefromaquantizedlow-energystate atively simple spectral situation that has great practical toahigherenergystate.Analytically,thisphenomenonis value for elemental identification and concentration de- observedasareductionoftheintensityofradiationafter termination.Theabsorptionspectrumobservedwithpoly- passagethroughasampleofmatter.Twodistinctparam- chromatic light contains only a few areas of reduced in- eters can be investigated. The reduction of intensity is a tensityoccurringatverywell-definedfrequenciesdueto functionoftheprobabilityofinteractionoftheradiation thesmallnumberofenergystatesavailabletotheatoms. withappropriateanalytespeciesandindicatesconcentra- Thenaturalwidthofsuchabsorptionlinescanbelessthan tion.Also,theenergyoftheabsorbedradiationindicates 10−4 nm, but broadening often occurs due to collisional thequantizedenergylevelsinwhichenergyisdeposited andDopplereffectsinthesamplematrix.Thequantized (Fig. 4) and therefore assists in species identification. The energy transitions responsible for atomic absorption are Beer–Lambertlawgenerallyappliestoallabsorptionpro- ofelectronicorigin,indicatingthatelectromagneticspec- cessesatlowconcentrationswhenmonochromaticradia- trumenergiesfromX-raystoultraviolet–visiblerediation tionisused.Itisconventionallywritten aresufficienttoobservethisprocess. The technique known as atomic absorption spec- P log 0 =εbc= A, troscopyisofparticularanalyticalimportanceforthede- P termination of metals due to its sensitivity and potential where P istheinitialpowerofanincidentbeamofradi- forselectivitybyvirtueofthenarrowatomicabsorption 0 ation, P isthefinalpower(decreasedduetoabsorption), lines.Aschematicrepresentationofthespectrophotome- εrepresentsavaluecharacteristicoftheextentofabsorp- ter is shown in Fig. 5. To take advantage of characteristic tionexpectedforacertainspeciesatadefinedwavelength selectivity, a special radiation source must be provided in a defined matrix, b is the sample path length, c is the to produce extremely monochromatic radiation with a FIGURE5 Representationofthedesignofaconventionalatomicabsorptionspectrophotometer.