Basic Chemometric Techniques in Atomic Spectroscopy 2nd Edition 1 0 0 P F 4- 4 3 9 3 7 9 4 8 1 8 7 9 9/ 3 0 1 0. 1 oi: d g | or c. s s.r b u p p:// htt n o aded e 2013 on wnl7 Ju o1 Dn o d e h s bli u P View Online RSC Analytical Spectroscopy Monographs Series Editor: Neil W. Barnett, Deakin University, Victoria, Australia 01 Advisory Board: 0 FP F. Adams, Universitaire Instelling Antwerp, Wirijk, Belgium; M.J. Adams, 4- 4 RMIT University, Melbourne, Australia; R.F. Browner, Georgia Institute of 3 9 3 Technology, Atlanta, Georgia, USA; J.M. Chalmers, VSConsulting, Stokesley, 7 9 4 UK; B. Chase, DuPont Central Research, Wilmington, Delaware, USA; 8 1 8 M.S. Cresser, University of York, UK; J. Monaghan, University of Edinburgh, 7 9 9/ UK; A. Sanz Medel, Universidad de Oviedo, Spain; R.D. Snook, UMIST, UK 3 0 1 0. 1 Titles in the Series: oi: d 1: Flame Spectrometry in Environmental Chemical Analysis: A Practical org | Guide sc. 2: Chemometrics in Analytical Spectroscopy bs.r 3: Inductively Coupled and Microwave Induced Plasma Sources for Mass u p://p Spectrometry htt 4: Industrial Analysis with Vibrational Spectroscopy on 5: Ionization Methods in Organic Mass Spectrometry aded e 2013 67:: QGuloawntDitaisticvhearMgeillOimpetitcraelWEmaviessleionngtShpSepctercotrsocompeyt:ryA Practical Guide on wnl7 Ju 8: Chemometrics in Analytical Spectroscopy, 2nd Edition Don 1 9: Raman Spectroscopy in Archaeology and Art History d o 10: Basic Chemometric Techniques in Atomic Spectroscopy e h 11: Biomedical Applications of Synchrotron Infrared Microspectroscopy s ubli 12: Microwave Induced Plasma Analytical Spectrometry P 13: Basic Chemometric Techniques in Atomic Spectroscopy, 2nd Edition How to obtain future titles on publication: A standing order plan is available for this series. A standing order will bring delivery of each new volume immediately on publication. For further information please contact: BookSalesDepartment,RoyalSocietyofChemistry,ThomasGrahamHouse, Science Park, Milton Road, Cambridge, CB4 0WF, UK Telephone: +44(0)1223 420066,Fax:+44(0)1223420247 Email:[email protected] Visit our website atwww.rsc.org/books View Online Basic Chemometric Techniques in Atomic Spectroscopy nd 2 Edition 1 0 0 P F 4- 4 93 Edited by 3 7 9 4 8 1 Jose´ M. Andrade-Garda 8 7 9/9 University of A Corun˜a, Spain 3 0 Email: [email protected] 1 0. 1 oi: d g | or c. s s.r b u p p:// htt n o aded e 2013 on wnl7 Ju o1 Dn o d e h s bli u P View Online 1 0 0 P F 4- 4 3 9 3 7 9 4 8 1 8 7 9 9/ 3 0 1 0. 1 oi: d g | or c. s s.r b u RSCAnalyticalSpectroscopyMonographsNo.13 p p:// htt ISBN:978-1-84973-796-8 n o ISSN:2041-9732 aded e 2013 AcataloguerecordforthisbookisavailablefromtheBritishLibrary on wnl7 Ju rTheRoyalSocietyofChemistry2013 o1 Dn o d Allrightsreserved e h s bli Apartfromfairdealingforthepurposesofresearchfornon-commercialpurposesorfor u P privatestudy,criticismorreview,aspermittedundertheCopyright,DesignsandPatents Act1988andtheCopyrightandRelatedRightsRegulations2003,thispublicationmaynot bereproduced,storedortransmitted,inanyformorbyanymeans,withouttheprior permissioninwritingofTheRoyalSocietyofChemistryorthecopyrightowner,orinthe caseofreproductioninaccordancewiththetermsoflicencesissuedbytheCopyright LicensingAgencyintheUK,orinaccordancewiththetermsofthelicencesissuedbythe appropriateReproductionRightsOrganizationoutsidetheUK.Enquiriesconcerning reproductionoutsidethetermsstatedhereshouldbesenttoTheRoyalSocietyof Chemistryattheaddressprintedonthispage. TheRSCisnotresponsibleforindividualopinionsexpressedinthiswork. PublishedbyTheRoyalSocietyofChemistry, ThomasGrahamHouse,SciencePark,MiltonRoad, CambridgeCB40WF,UK RegisteredCharityNumber207890 Forfurtherinformationseeourwebsiteatwww.rsc.org PrintedintheUnitedKingdombyCPIGroup(UK)Ltd,Croydon,CR04YY,UK 5 0 0 P F Preface 4- 4 3 9 3 7 9 4 8 1 8 7 9 9/ 3 0 1 This book is rooted on an informal discussion with three researchers, Dr 0. oi:1 Alatzne Carlosena, Dr Mo´nica Felipe and Dr Marı´a Jesu´s Cal, after they had g | d some trouble measuring antimony in soils and sediments using electrothermal or atomic absorption spectrometry. While we reviewed the results and debated c. s possibleproblems,muchlikeinabrainstormingsession,Irealizedthatsomeof s.r ub their difficulties were very similar to those found in molecular spectrometry p p:// [mid-infrared(IR)spectroscopy,whereIhadsomeexperience],namely,alack htt of peak reproducibility, noise, uncontrollable amounts of concomitants, n o possible matrix interferences, etc. aded e 2013 troAscsopmyaunsyinogfmthueltsievadriiaffitecurletgiersessairoencmuerrthenotdlys(oovremrcuolmtiveariinatemcohleecmuolamrestrpieccs)- on wnl7 Ju Iproposed that these three ladiesshouldapplythem totheir spectra.The first o1 Dn reaction on their faces seemed something like ‘... this crazy chemometrician o d guy ...’ but after some discussions we agreed to work together and see what e h s mightbeachieved.Itwasnoteasytogetthespectral rawdatathatwe needed bli u fromouroldPerkinElmer deviceandMo´nicaandMarı´aspentmuchtimeon P this until they found a way to do it. The number of papers we found that reported on the use of multivariate regressioninatomicspectrometrywassmall,andweguessedthatthismightbe because of eithera lack ofgeneral awareness of thehuge potential capabilities of these techniques and/or the difficulties in extracting the spectral data from the spectrometers, something that is trivial for most instruments dedicated to molecular spectrometry. Wegotsomegoodresults,andonemorningIreadane-mailfromDrMerlin Fox(CommissioningEditorofTheRoyalSocietyofChemistry)withatotally surprising proposal: to prepare a monograph on the subject. After reading his e-mail several times and asking him if that was true (some electronic ‘spam’ seemed very possible), DrCarlosena and I contacted severalgood scientistsin RSCAnalyticalSpectroscopyMonographsNo.13 BasicChemometricTechniquesinAtomicSpectroscopy:2ndEdition EditedbyJose´ M.Andrade-Garda rTheRoyalSocietyofChemistry2013 PublishedbytheRoyalSocietyofChemistry,www.rsc.org v View Online vi Preface the two fields of atomic spectrometry and chemometrics. I am indebted to all authors for their constructive words and immediate collaboration, although, maybe, it was the first one we contacted, Prof. Alfredo Sanz-Medel (a worldwide-reputed atomic spectroscopist, with several international awards, including the 2007 Robert Kellner Lecture), who really fuelled us to go on. 05 Ireallywanttoexpressmydeepandsinceregratitudetoeachparticipantinthis 0 P exciting project. You are not only skilful scientists but also nice persons, F 44- enthusiastic workers and, first of all, good friends. Recognition is also due to 3 39 Merlin Fox for his continuous support and encouragement. His proposal for 7 49 thesecondeditionofthisbookwas,simply,unexpectedandawonderfulnews. 8 81 The main photographs on the cover are credited to a good friend, Sabino 7 9/9 Muin˜o-Varela,andtheirfinalsetupisaresultoftheenormouspatienceofmy 3 0 dear colleague, Alatzne. 1 0. Finally,ourthankstoyou,thereader.Itisthehonestdesireoftheauthorsto 1 oi: hear from you. We would like to receive your feedback. It is impossible to d g | produce a text like this that satisfies everyone, their expectations and needs. or c. Many things were left out of the book, but if you feel that some more expla- s s.r nations,reviewsorinformationarerequired,please,donothesitatetocontact b u p us.Ifanewversioncomeswiththewindsofthefuture,yoursuggestionswillbe p:// greatly appreciated and, as far as possible, included in it (and publicly htt n acknowledged, of course). o aded e 2013 anIdnGthuiasdwaaluyp,eIPaep´rperze-cCiaatbeaclloemrom(UenntisvferrosimdaPdroNfaescsioonrsalRAauqtuoe´nloLmo´apedze-AMree´lxlaicnoo) ownlo17 Jun fsohrouthldeibreidaedadsredsuserdinignoaubromokeectoinngtsa.inWinegrbeaasliiczecdhetmhaotmtheterivcetroyofilsrsistuisnsiuveartihaatet Dn o regression because, despite being applied widely (wildly?), its correct appli- d he cation is far from trivial. Dr Rosa Soto-Ferreiro and my undergraduate s bli students are acknowledged for their fruitful inputs and discussions on how to u P present several issues in order to make them more understandable. The more they discussed and ‘complained’, the more I learnt about the difficulties of the technique. Jose´ Manuel Andrade-Garda A Corun˜a, Galicia, Spain 7 0 0 P F Structure of the Book 4- 4 3 9 3 7 9 4 8 1 8 7 9 9/ 3 0 1 It was very clear from the beginning that the main objective of this project 0. oi:1 would be to present atomic spectroscopists with the basis of the most widely g | d appliedmultivariateregressiontechniques.Wedidnotwantjust‘anotherbook or on chemometrics’ and, instead, we challenged ourselves to present some c. s practicalmaterialwithclearlinkstocommonproblemsinatomicspectrometry. s.r ub Although complex mathematics were avoided as far as possible, a minimum p p:// amount was required to present the correct explanations and to justify why htt some issues were tackled in one way rather than in another. We tried to keep n o technical explanations within the general scientific background that chemists aded e 2013 rceocnesicvieoiunstthheaitrtchairnegesr.aBreescidheasn,giinnogusroorpaipniidolny,iantoanmailcystipceacltcrohsecmoipsitsrtystshhaotuslodmbee on wnl7 Ju sound background on chemometrics is highly advisable. Please, consider it as o1 Dn another tool to be combined with your instruments, not as an end in itself. o d In this respect, the first chapter is devoted to a general view of the most e h s common atomic techniques. The very basics of the analytical techniques are bli u discussed and, most importantly, pros, cons and some basic troubleshooting P arepresentedtothereader.Practicaldifficultiesarereferredto, theirsolutions depicted and, when possible, multivariate chemometric solutions pointed out. The second chapter reviews univariate calibration. Although thismight seem trivial for researchers it is observed too frequently, even in papers published in prestigious journals, that fundamental issues have been overlooked and, therefore, the results might be questionable. Chemists must be aware of some fundamental problems caused by the way in which we use the regression line obtainedusingthewell-known(?)least-squarescriterion.Ithappensthatwedo not have an exact mathematical solution and, therefore, we are forced to use approximations,whichareacceptableundersomerestrictedconditions.Further, different equations are published in literature and their differences/similarities not always explained. We have tried to present a unified approach. In this RSCAnalyticalSpectroscopyMonographsNo.13 BasicChemometricTechniquesinAtomicSpectroscopy:2ndEdition EditedbyJose´ M.Andrade-Garda rTheRoyalSocietyofChemistry2013 PublishedbytheRoyalSocietyofChemistry,www.rsc.org vii View Online viii StructureoftheBook chapterasmallamountofmathematicswasincludedbecausetheoverallmatter soundsfamiliartomostusersandbecauseunivariateregressionisacriticaltool inevery laboratory which deliversresults and evaluates theiruncertainty. Chapter 3 deals with a critical statement that any analyst and chemomet- rician hasto remember: no good chemometric analysiscan be obtained unless 07 theoriginaldataaretrustworthy.Oneofthekeyobjectivesofchemometricsis 0 P toobtainrelevantinformationfromthedata,butthisispossibleif,andonlyif, F 44- the data are correct. To obtain reliable data, we can use a suite of dedicated 3 39 chemometric tools aimed at developing good analytical methodologies. Thus, 7 49 experimentaldesign,optimizationandrobustnessarecornerstonestoassessing 8 81 accuracy during any process of method development. Typical methodologies 7 9/9 are introduced and discussed, along with extensive literature reviews that 3 0 combine objective optimization and atomic spectrometry. 1 0. Chapter 4 retrieves the basic ideas of classical univariate calibration as the 1 oi: standpoint from which the natural and intuitive extension of multiple linear d g | regression(MLR),arises.Unfortunately,thisgeneralizationisnotsuitedtomany or c. laboratorytasksand,therefore,theproblemsassociatedwithitsuseareexplained s s.r insomedetail.Suchproblemsjustifytheuseofothermoreadvancedtechniques. b u p The explanation of what the multivariate space looks like and how principal p:// components analysis can tackle it is the next step forward. This constitutes the htt n root ofthe regression methodology presented in the following chapter. o aded e 2013 muClthivaaprtiearte5rpergerseesnstiosnthmeemthoosdtwuisdedelynoawppaldieadysa:npda,rtpiarolbleaabsltys,qmuaorsetssraetgisrfeascstioorny. ownlo17 Jun Gmraathpehmicaatliceaxlplabnaactkigornosuonfdm. aSneyvecroanlcecpotmsmaroengivaepnp,raolaocnhgeswittohasomlvoerecfuorrrmenatl Dn o problems are suggested, along with the golden rule that ‘there is not a golden d he rule’. The development of a satisfactory regression model can alleviate the s bli typical laboratory workload (preparation of many calibration solutions, using u P a large number of solutions with different concomitants at different levels of concentration, etc.), but only when a strict and serious job is performed with the regression software. Iteration is the key word here, as the analyst has to iterate within his/her data and within the software capabilities. Validation is a keypointthatwillneverbestressedsufficientlyenough.Inthis2ndeditionwe included a comprehensive approach to derive typical figures-of-merit from multivariate models. This includes the new alternatives given by the Inter- national Organization for Standardization (ISO) and the European Union to the former ‘limit of detection’ and ‘limit of quantification’. Many discussions herearebasedontheexcellentworkfromtheresearchgroupofProfessorsLuis Sarabia and Marı´a Cruz Ortı´z (University of Burgos). Finally, Chapter 6 goes into two new regression paradigms: artificial neural networks and support vector machines. Quite different from the other regressionmethodspresentedinthebook,theyaregainingacceptancebecause they can handle non-linear systems and/or noisy data. This step forward is introduced briefly and, once more, a review is presented with practical applications in the atomic spectroscopy field. Not surprisingly, most papers deal with complex measurements [e.g. non-linear calibration or View Online StructureoftheBook ix concomitants-affected measurements in electrothermal atomic absorption spectroscopy (ETAAS)] and/or new analytical atomic techniques [which, therefore,yieldverycomplexdata;e.g.X-rayfluorescenceincomplexsystems, laser-inducedbreakdownspectrometry(LIBS)andseveralsecondaryionmass spectrometry (SIMS)-based methodologies]. 07 Two distinctive features of this new edition are that more worked examples 0 P are included in the book, and that the same dataset is used throughout the F 44- chapters dealing with multivariate calibration. It is the authors’ desire that 3 39 thesewillhelpthereadertovisualizethedifferentmodelsthatcanbeobtained 7 49 using different regression methods. 8 1 8 7 9/9 Jose´ Manuel Andrade-Garda 3 0 A Corun˜a, Galicia, Spain 1 0. 1 oi: d g | or c. s s.r b u p p:// htt n o aded e 2013 on wnl7 Ju o1 Dn o d e h s bli u P View Online 7 0 0 P F 4- 4 3 9 3 7 9 4 8 1 8 7 9 9/ 3 0 1 0. 1 oi: d g | or c. s s.r b u p p:// htt n o aded e 2013 on wnl7 Ju o1 Dn o d e h s bli u P