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ESSENTIALSOF COORDINATION CHEMISTRY

ASimplifiedApproach with3DVisuals

VASISHTABHATT

UGC-HumanResourceDevelopmentCentre SardarPatelUniversity

VallabhVidyanagar,Gujarat,India

Amsterdam • Boston • Heidelberg • London

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Totheteachersandlearnersofcoordinationchemistry

PREFACE

Thisbookisanoutcomeofmyresearchprogrammes,coupledwith teachingabout10,000learnersoveraperiodoftwodecades.While teaching,Irealizedthatstudentsperceivechemistryasoneofthemost difficultsubjects.Onponderingoverthereason,Icametoaconclusionthat teachers finditdifficulttomakethestudentsimaginethestructuresof atoms,ionsandmoleculesastheyaretobeunderstood.Asaresult,many chemistryclassroomslackthedesiredresonance.Theobviousremedywas tocreatetheimagesandmoviesthatdescribethesespeciestoamaximum extent.Ihavebeentryingtoachievethisendforsometimenow.Irealized thatthereisstillmoretobedonetomakechemistrysimpleenoughfor students.

Apartfromthis,thereareotherconstraintsfacedbychemistryteachers aswell,whichrequireattention.Often,professorsfacetimeconstraintsin discussingtheintricaciesofcertainconceptsintheclassroom.Hence,it becomesa ‘fixedplace fixedtime’ modeofeducation.Inthisage,when knowledgecouldtranscendthebordersoftime,placeandcommunity,an alltimes allplacesmodeoflearningwas,therefore,aninevitablewayout. Thisbookisanoutcomeoftheaboverationale.

Asitissaid,abookisaperson’sbestfriend.Evenmoreso,ifitoffers self-learningfacilitieswithfeatureslikenumerousimagesandvideosof goodquality,clearillustrationsandrelevantcitations,aswellaslucid language.

EssentialsofCoordinationChemistry:SimplifiedApproachwith3DVisuals is astepinthedirectionofdevelopingalifelongfriendshipbetweenthebook andthelearner.Itincludessubjectmatterforanentiresemesterinthe courseofBS/BScwithchemistryasamajor.Itbeginswithbasiccoordinationchemistryandbasicconceptsofsymmetry,whichserveasaprimer foradvancedlearning.Adetaileddiscussiononisomerismamongstcoordinationcompoundsisprovidedinthesubsequentchapter.Thenextthree chapterscoverclassicaltopicsrelatedtothethermodynamicsandkineticsof complexformation,aswellasavarietyofreactionsoccurringincoordinationcompoundsofsquareplanarandoctahedralgeometry.Inthelast sectionofthebook,beginningwithbasicorganometallicchemistry,abrief discussionongeneralorganometallicchemistryisprovided,whichisthen extendedparticularlytoanindustriallyimportantclassoforganometallic complexes:metalcarbonylsandmetalnitrosyls.Theelectronicversionof

thisisexpectedtobeacamera-readysetoflecturesthatcanbereadily deliveredintheclass.Moreover,attheendofeverychapter,someexercises basedonthetextarealsoprovided.Anattempthasbeenmadetoinclude thelatestdevelopmentsinthesubject.Forinstance,briefinformationon theHoveyda Grubbs’ catalystortheSuzukireaction,aswellasothers fromthetwenty-firstcentury,isincludedinthisbook.Ihopethatthis bookwillcatertotheneedsofthestudentsandteachers.

Iamindeedkeentoreceiveconstructivecommentsandsuggestions fromtheteachers’ andlearners’ fraternityforpotentialimprovisationsin thisbook.

ACKNOWLEDGEMENTS

Firstofall,ImustthankElsevierInc.forputtingtrustinmyabilityto completethiswork.IthankCathleenSether(PublishingDirector),Katey Birtcher(SeniorAcquisitionsEditor,Chemistry),JillCetel(SeniorEditorial ProjectManager)andtheentireElsevierteamformakingthisdream journeyareality.

IsincerelyacknowledgethesupportoftheUniversityGrantsCommission(UGC),NewDelhi,India,forgivingmeanofficeandaposition fromwhichIcouldcomfortablycompletethisbook;itwouldhavebeen impossibleotherwise.TheViceChancellorofSardarPatelUniversity, DrHarishPadh,hasremainedaprimesourceofmyinspiration,asheisa role-modelscientistanyonewouldwanttoemulate.DrA.R.Jani,the DirectorofUGC-HumanResourceDevelopmentCentreatSardarPatel University,wasveryhappywhenItookthisassignment,andhereadily arrangedforallthefacilitiesthatwouldmakemecomfortableinpreparing thisbook.Healsoprovidedvitalscientificguidance.Myfellowcolleague, MrVimalShah,needstobeacknowledgedforhisvaluablesuggestions;asa layman,itreallyhelpedmeinpredictingthelearner’sperspectiveon technicalissues.Theentirestaffofmyinstitutewholeheartedlysupported meinthisendeavour.Prof.MangalaSunderKrishnan,IITMChennaiand NationalCoordinatoroftheNPTEL,hasremainedthetorchbearerinthis entirejourney.ThefacultymembersofthechemistrydepartmentofSardar PatelUniversity,namelyProf.M.N.Patel,Prof.N.V.SastryandProf.D.K. Raval,stronglyencouragedmeandofferedalltheguidancethatIdesired. HowcanIforgettheassistanceprovidedbyMrRavishPatel,whoworked asmyassistantandhelpedmeoneachandeverystep!

Myfamilyremainedthemaindrivingforcebehindthisproject.Icould neverhavecompletedthisbookiftheywerenotthere.Sonal(mywife)and Ishan(myson)contributedinallpossiblemanners,beginningwiththe sacrificeoftheirvacationoutings.Bothofthemgavecreativecriticismand suggestionsonmanypedagogicalissueswheneverIwasindoubt.Mothers andfathersarethe firstteachersofachild;RamabenandDineshbhaiwillbe thehappiestpeopleontheearthwhenthisbooktakesits finalform.

Alltheteachersandlearnersofcoordinationchemistryhaveknowingly orunknowinglycontributedalottothiswork.Thisbookisnowtobe testedfortheirexpectations.

CHAPTER1

BasicCoordinationChemistry

1.INTRODUCTION

Thecoordinationcompoundsfoundtheirapplicationslongbeforethe establishmentofcoordinationchemistry.Brightredcolouredalizarindyes wereunderapplicationsevenbeforethe fifteenthcentury.Thisbrightred dye,nowcharacterizedasachelatedcomplexofhydroxyanthraquinone withcalciumandaluminiummetalions,isshownin Figure1.

Later,inthesixteenthcentury,theformationofawell-knownmember oftoday’scoordinationchemistryfamily,thetetraamminecupricion

[Cu(NH3)4]þ2,wasrecordeduponcontactbetweenbrassalloyand ammoniumchloride.AdditionofPrussianblueFe4[Fe(CN)6]3$xH2O increasedtheuseofcoordinationcompoundsindyesandpigments.A platinumcomplexK2[PtCl6]offeredanapplicationfortherefinementof platinummetal.Thus,beforethecoordinationchemistrywasstructured, thecoordinationcompounds,complexesandchelatesfoundtheir applications.

Asystematicinvestigationofstructureandbondingincoordination chemistrybeganwiththeinquisitivenessofTassaert(1798),whichwas extendedbydistinguishedchemistslikeWilhelmBlomstrand,Jorgensen andAlfredWerner [1] untiltheendofthenineteenthcentury.Inthe events,Werner’scoordinationtheory(1893)becamethebaseofthe moderncoordinationchemistry.Itisworthnotingthattheelectronwas discoveredsubsequenttoWerner’stheory.

ThebondingincompoundslikeCoCl3 andNH3 wereeasilyunderstoodandexplainedandhencesuchcompoundswereregardedassimple compounds.Forinstance,the þ3formaloxidationofcobaltincobalt chlorideisbalancedbythreeuni-negativechlorideionsandthecoexistence oftheseionicmoietiestoformamoleculeisunderstoodandexplained. Similarly,thevalenceshell(n ¼ 2)ofnitrogen(N ¼ 7)contains five electronsandfourorbitals(2s,2px,2py and2pz).Keepinganelectronpair

Figure1 Structureofalizarindye.

inoneoftheseorbitalswhiletheotherthreeremainshalf filled,anopportunityforthreehydrogenatomstocontributeoneelectroneachforthe formationofacovalentbondwithnitrogen,canalsobeexplained.Thusan ammoniamoleculehasthreeN Hcovalentbondsandonelonepairof electronsoverthenitrogenatom.Itisworthnoticingherethatallthe valenciesofalltheatomsinboththemoleculesarefullysatisfiedandhence thereisnofurtherscopeofbonding.

A ‘complex’ situationariseswhenonecomestoknowthatthemolecule CoCl3 canencompasssixammoniamolecules,resultingintoathirdindependententity.Thissituationwasfullyunderstoodandexplainedby Werner’scoordinationtheory,followedbynamingtheentityas ‘complex’

1.1Definitions

Coordinationcompounds arethecompoundscontainingoneormore coordinatecovalentbonds.

Coordinatecovalentbonds arethecovalentbondsinwhichboththe bondingelectronsarecontributedbyoneofthebondpartners. Figure2 distinguishesthecovalentbondsfromthecoordinatecovalentbondin NH3BF3.WhilethethreeB Fcovalentbondsareformedduetothe sharingofelectronpairsresultingfromcontributionsofbothboronand fluorineatoms,anN Bbondisformedduetothedonationofalonepair

Figure2 BondinginNH3BF3.

ofelectronsfromnitrogenintotheemptyorbitalsofboron.Thecoordinate covalentbondisshownbyanarrowwithitsheadpointingtowardsthe directionofthedonationofanelectronpair,asshownin Figure2

A complex isamolecule/ioncontainingacentralmetalatom/ion surroundedbyadefinitenumberofligandsheldbysecondaryvalencesor coordinatecovalentbonds.

Primaryvalency referstothechargeoverthemetalione.g.Co(III) has þ3charge,whichcanbebalancedby 3charge-formingcompounds likeCoCl3.Theprimaryvalencyisionicandissatisfiedinthesecond coordinationsphere,asshownin Figure3.

Secondaryvalency isthenumberofemptyvalenceorbitals,asillustratedfor[Co(NH3)6]Cl3 inthe figure.TheCo(III)ionhassixempty valenceorbitals.Henceitssecondaryvalencyissix.Secondaryvalencyisa coordinatecovalentvalency,anditissatisfiedinthe firstcoordination sphereofthemetalion,asshownin Figure4.

Coordinationnumber isapropertyofthemetalionrepresentingthe totalnumberofdonoratomsdirectlyattachedtothecentralatom.Inthe abovecase,thecoordinationnumberofCo(III)issix,assixnitrogendonor atomsaredirectlyconnectedtothecentralmetalion(cobalt(III)).

Ligand isanyatom,ionorneutralmoleculecapableofdonatingan electronpairandbondedtothecentralmetalionoratomthroughsecondaryvalency.

Figure3 Firstandsecondcoordinationspheresin[Co(NH3)6]Cl3.

Dentatecharacter isapropertyofaligandrepresentinganumberof coordinatingatoms.

Inthecaseof[Co(NH3)6]Cl3,ammonia,NH3 theligandcontainsone donoratom(N).Henceitsdentatecharacterisoneandisclassifiedasa monodentateligand.Similarly,chloro(Cl )isananionic,monoatomicand monodentateligand,whilehydroxo(OH )isadiatomic,monodentateand anionicligand.Aquo(OH2)representsaneutraltriatomicmonodentate ligand.Afewpopularligandsandtheircharacteristicsareshownin Figure5.

Duetoahigherdentatecharacterofligands,avarietyofcomplexes knownaschelateisalsoformedsometimes. Chelate isacompoundformed whenapolydentateligandusesmorethanoneofitscoordinatingatomsto formaclosed-ringstructure,whichincludesthecentralmetalion.Fiveandsix-memberedringsareknowntoprovideextrastabilitytothechelates. Theprocessofchelateformationisknownaschelation.Apolydentate ligandinvolvedinchelateformationisalsoknownasachelatingligand. Chelatesgenerallyexhibithigherstabilitythananalogouscomplexes.

Apolydentateligandmaybeattachedtothecentralmetalionthrough morethanonekindoffunctionalgroup.Thenumberandkindoflinkages bywhichthemetalionisattachedwiththeligandscanthusbecomea criterionfortheclassificationofchelates.Thecovalentbondsareformedby thereplacementofoneormoreH-atoms,whilecoordinatecovalentbonds areformedbythedonationofanelectronpairfromtheligands.Someof thechelatesinvolvingavarietyofpolydentateligandsandlinkagesare shownin Figure6.Thecoordinatecovalentlinkagesareshownbythin, thread-likebonds.

Figure4 SecondaryvalencyofCo(III)in[Co(NH3)6]Cl3.

etatnedib,lartuen,)ne(enimaidenelyhtE

)caca(enotecaelytec A , neutral, bidentate

sanwonkoslaedyhedlazneblyxordyh-2

salicylaldehyde (sal), anionic, bidentate

,)gmd(emix oylglyhtemi D anionic, bidentate

2,2′-bipyridine, neutral, bidentate

Figure5 Structuresandcharacteristicsofafewimportantligands.

Diethelenetrimine (dien), neutral, terdentate

Nitrilotriacetic (nta), anionic, quadridentate

2,2ʹ,2ʹʹ-triaminotriethylamine (tren), neutral, quadridentate

Ethylenediaminetetraaceticacid (edta), anionic, sexadentate

Cont'd

Figure5

EXAMPLE

CHARACTERISTICS

Oxalic acid

Anionic

Bidentate

Two covalent bonds

Two five-membered rings in the chelate

Glycine

Anionic Bidentate

One covalent and one coordinate covalent bond

Two five-membered rings in the chelate

1,10-phenanthroline

Neutral

Bidentate

Two coordinate covalent bonds

Two five-membered rings in the chelate

1,2,3-trihydroxypropyl hydrogen carbonate

Anionic

Tridentate

Three covalent bonds

Two five-membered rings and one six-membered ring in the chelate

2-aminosuccinic acid also known as aspartic acid

Anionic

Tridentate

Two covalent and one coordinate covalent bond

Two five-membered rings, two six-membered rings and two seven memebered rings in the chelate

Figure6 Structuresandcharacteristicsofafewchelates.

1,2,3-triaminopropane

Neutral

Tridentate

Three coordinate covalent bonds

Four five-membered rings and two six-membered rings in the chelate

2,3-diaminopropanoicacid

Anionic

Tridentate

One covalent and two coordinate covalent bonds

Four five-membered rings and two six-membered rings in the chelate

Polynuclearcomplex isacomplexwithmorethanonemetalatom/ ion.Thesemetalionsaresometimesbridgedthroughappropriateligands, resultingintotheformationofabridgedpolynuclearcomplex.

2.NOMENCLATURE

Asystematicnomenclatureofcoordinationcompoundsrequiresacareful considerationofthefollowingrules [2].Thelearnershould firstlearnallof theserulesbyheartandthendosuf ficientpracticetomastertheprocedure.

2.1ForWritingtheCoordinationFormula

1. Placethesymbolofthecentralatom firstfollowedbythesymbolofthe ligandinthefollowingorder:anionic,neutralandcationic.Enclosethe complexinasquarebracket.

2. Iftheformulaofachargedcomplexiswrittenwithoutanycounter-ion, thechargeistobeindicatedoutsidethesquarebracketasarightsuperscriptwiththenumberprecedingthesign,asin[PtCl6]2 or [Cr(OH2)6]3þ;theoxidationnumberofacentralatom/ionmaybe optionallyrepresentedbyaRomannumeralplacedasarightsuperscript ontheelementsymbol,asin[CrIIICl3(OH2)3]and[FeII(CO)4]2 .

Figure6 Cont'd

3. Theanionicligandsarecited firstandinalphabeticalorder,accordingto the firstsymbolsoftheirformulae.

4. Theneutralandcationicligandsarethenlistedinthefollowingorder: H2O,NH3,otherinorganicligandsandorganicligandsinalphabetical order.

5. Thestructuralinformationmaybegivenbyprefixessuchas cis-, trans-, fac-, mer-etc.

Toillustratetheaboverules,considerthewritingofacoordination formulaforthecompoundshownin Figure7 as trans-[CoIIICl2(sal)(en)].

N.B.:Theligandabbreviationsandtheformulaeofthepolyatomic ligandsaregenerallyplacedinparentheses.

2.2ForWritingtheNames

1. Thecationisnamed first,followedbythenameoftheanionirrespectiveofwhetherthecationortheanionisthecomplexspecies.

Figure7 trans-[CoIIICl2(sal)(en)].

2. Inacomplex(cationic,anionicorneutral),thenamesoftheligandare citedalphabeticallyirrespectiveoftheirchargewithoutseparation,and thenameofthecentralmetalatomisthelast.

3. Thenamesoftheanioniccomplexeshavethespecificending ‘-ate’ or ‘-ic’ (ifnamedasacid),whilethereisnosuchspecificendingofcationic orneutralcomplexes.

4. TheoxidationstateofthecentralatomisindicatedbyaRoman numeralintheparenthesisattheendofthenameofthecomplex.

5. Nameoftheligands:thespecificending ‘ -o ’ isgiventoorganic/ inorganicanionicligands.Inthecaseofligandnamesendingin ‘-ide’ , ‘-ite’ or ‘-ate’ , ‘ e ’ isreplacedby ‘ o ’,giving ‘-ido’ , ‘-ito’ or ‘-ato’ respectively,asin-azide ðN3 Þ becomesazido,-nitrite ðNO3 Þ becomesnitritoand-sulphate ðSO4 2 Þ becomessulfato.

However,certainanionicligandsareexceptionstotheaboverule andarenamedasshownin Table1.

Thereisnochangeinthenameofneutralligands.Theyarenamed asamoleculeasinNH2CH2CH2NH2 (en)asethylenediamineand NH2CH2CH2NHCH2CH2NH2 (dien)asdiethylenetriamine.Here also,theexceptionsareH2O(namedasaquo),NH3 (asammine), NO(asnitrosyl)andCO(ascarbonyl)etc.

Thecationicligandshavethespecificending ‘ium’,asin NH2 NH3 þ ,namedashydrazinium,andH2 N CH2 CH2 NH3 þ , namedas2-aminoethylammonium.

6. Thenumberofeachkindofsimpleligandisindicatedbyprefixessuchas mono-foroneligand,whichisusuallyomitted,di-fortwoligandsandtriforthreeligandswithoutanyspace.Inthecaseofcomplicatedligands,the prefixesbis-fortwoligands,tris-forthreeligandsandtetrakis-forfourligands(withthenameoftheligandenclosedinparenthesis)isused.

7. Thecoordinatingatomofaligandtothecentralatomisindicatedby placingthesymbol k (Kappa)followedbytheelementalsymbolafter

Table1 NamesusedforanionicligandsaccordingtoInternationalUnionofPure andAppliedChemistry(IUPAC)nomenclature

LigandNameLigandNameLigandName

F FluoroOH HydroxoO2 2 Peroxo

Cl ChloroCN CyanoCH3O Methoxo

Br BromoHS ThioloC5 H5 Cyclopentadienyl

I IodoS2 ThioC6 H5 Phenyl

H HydridoO2 SuperoxoO2 Oxo

thenameoftheligand,asinM-SCN-,itiswrittenasthiocyanato-kS andinM-NCS-,itiswrittenasiosthiocynato-kN.

8. Aligandthatbridgestwocentralatomsisdesignatedbythesymbol m beforeitsname.

HereareafewexamplesofusingIUPACnomenclatureforwriting theformulaeandnamesofcoordinationcomplexes.

Formula Name

[Fe(CN)6]4

Hexacyanoferrate(II)ion [CoCl3(NH3)4]

Triamminetrichlorocobalt(III) [CuCl2(CH3NH2)2]Dichlorobis(methylamine)copper(II) Cis-[PtCl2(NH3)2] Cis-diamminedichloroplatinum(II) [PtCl(en)NH2NH3]þ2

Chloroethylenediaminehydraziniumplatinum(II) ion

[Fe(CN)(CNCH2C6H5)5]þ Pentakis(benzylisocynide)cyanoiron(III)ion [Al(OH)(H2O)5]þ2

Pentaaquohydroxoaluminum(III)ion [Co(CN)(CO)2NO]

[PtClNO3(NH3)2(en)]SO4

K[SbCl5(C6H5)]

Dicarbonylcyanonitrosylcobaltate(0)ion

Diammine(ethylenediamine) chloronitroplatinum(IV)sulphate

Potassiumpentachloro(phenyl)antimonite(V) H2[PtCl6]

Na2[Fe(CN)5NO]

Hexachloroplatinic(IV)acid

Sodiumpentacyanonitrosylferrate(III) [PtPy4][PtCl4]

Tetrakis(pyridine)platinum(II) tetrachloroplatinate(II) [Pt(NH3)4Br2]Br2

Tetramminedibromoplatinum(IV)bromide

3.THEORIESOFBONDINGINCOORDINATION COMPOUNDS

Thetheoriesofbondingincoordinationcompounds [3] haveevolvedsubsequenttoWerner’scoordinationtheory(1893).Wernerintroducedthe conceptofprimaryandsecondaryvalency,explainingtheformationofthe coordinationcompounds.The18-electronrule,statingthatthestablecomplexeswithlowformaloxidationstatesofmetalionsshouldhave18bonding electronsaroundthemetalion,becameanimportantbeginningpointtoward thestudyofthestabilityofthecomplexes.The18-electronruleissignificant inmoderncoordinationchemistryasitisalsosupportedbythemolecular orbitaltheory.However,asmallernumberofcomplexeswithmetalsinlow oxidationstatesrestrictitswideapplicability.Animportantadvanceinthe theoriesofbondingincoordinationcompoundswastheintroductionof

CovalentandcoordinatecovalentbondinginBF3NH3.

valencebondtheory(VBT),whichisactuallyanextensionofLewistheory (1902)andHeitler–Londontheory(1927).Fromtheabovetwotheories,the sharingofelectronpairsbyatomsandtheformationofbondswasunderstood andexplained.TheVBTdevelopedbyLinusPaulingintroducedtwokey conceptsinthetheoriesofbonding,viz,thehybridizationoforbitalsand resonance,theabsenceofwhichwerethedrawbacksoftheprevioustheories.

Accordingtothistheory,themetalionsareregardedasLewisacids characterizedbytheavailabilityoflowlying,emptyorbitalssuitablefor accommodatingtheacceptedelectrons.TheligandsaretheLewisbases, characterizedbytheavailabilityofalonepairofelectronsthatcanbe readilydonated,resultingintoaformationofacoordinatecovalentbond. Thus,theacid–basecharacteristicsofmetalandligandcomplementeach othertogiverisetoacoordinatecovalentbond,asshownin Figure8

Hybridizationofatomicorbitals,amathematicaltoolformixingthe atomicorbitalstogiveanequalnumberofhybridorbitalswithsuperior directionalproperties,becameaveryimportantfeatureofthistheoryin explainingvariousgeometriesobservedincoordinationcompounds.

4.GEOMETRIESOFCOMPLEXESWITHDIFFERENT COORDINATIONNUMBERS

1.Coordinationnumber2: Thisisarelativelyuncommoncoordination numberandisrestrictedtoafewcases,suchasCu(I),Ag(I),Au(I),and Hg(II)ionshavingd10 configuration.[CuCl2] and[Ag(NH3)2]þ are therepresentativecomplexesofthiscoordinationnumber.

ThepossiblegeometriesforthecomplexeswithCN ¼ 2arelinear andangular.Lineargeometryiscommonlyobservedinsuchcomplexes,

Figure8

asitinvolvesminimumligand–ligandrepulsion.Thesecomplexes involvesd-hybridizationbetweenthecentralmetalatomorbitals,as shownin Figure9

Orgelhassuggestedthat(n 1)dorbitalshavenearlythesameenergy asthatofnsandnporbitals.Thedz2 orbitalscanenterintothishybridizationtoremoveelectrondensityawayfromtheregionofligandsand stabilizethecomplex.Initially ‘4s’ and ‘3dz2 ’ orbitalshybridizetogive twosd-hybridorbitals,namely j1 and j2.The j2 sd-orbitalshavetheir positivelobesalongthe z axis,whilethe j1 isinthe XY plane.The j2 orbitals,furtherhybridizedwithpz orbitals,givethehybridorbitals concentratedalongthe z-direction.Theelectronpairfromthedz2 orbitalsnowoccupythesdorbital XY plane,whilehybridorbitals concentratedalongthe z-directionareavailableforastrongerbond alongthe z axis,resultingintoacomplexwithlineargeometry.

Figure9 Hybridizationexplainingthebondingin[CuCl2] .

Thechelatesofthiscoordinationnumberarelessstablethananalogouscomplexes.Considerthecomplexes[Ag(en)]þ and[(Ag(NH3)2]þ . Inthesecomplexes,thefavouredgeometryislinear.In[Ag(en)]þ chelate,a five-memberedringisformed,andthe ‘ en ’ moleculecannot occupylinearcoordinationpositionsaroundAgþ withoutintroducing straininthechelatering,whichdestabilizesthecomplex.Hence [Ag(en)]þ islessstablethan[(Ag(NH3)2]þ.TheAg(I)chelateswith six-,seven-oreight-memberedringsaremorestable;asinlargersizedchelaterings,thestrainisless,hencestabilityisgreater.

2.Coordinationnumber3: Thisisveryrarecoordinationnumber.In mostcases,detailedstudieshaveshownahighercoordinationnumber attainedbythecentralmetalatomthroughdimerizationandbridging, asinthecasesofAlCl3 andPtCl2(PR3),shownin Figure10.

However,CN ¼ 3isalsoillustratedbyafewtruecomplexessuchas HgI3 and[Cu(SPMe3)]ions.Thesecomplexesexhibittrigonalplanar geometry,asshowninthe figure.

3.Coordinationnumber4: Thisisoneofthemostcommonlyobserved coordinationnumbers.Therearetwopossiblegeometriesassociated withCN ¼ 4,viz,tetrahedralandsquareplanar.

a.Tetrahedralcomplexes: Tetrahedralgeometryisfairlycommon infour-coordinatecomplexesofnontransitionmetalions.Thisgeometryinvolvessp3 hybridizationoforbitalsofthecentralatom. ThisgeometryisfavouredbylargeligandslikeCl ,Br ,I and smallmetalionslikeBeþ2 andAlþ3.Complexeslike[BeF4]2 , [ZnCl4]2 andBe(acac)2,shownin Figure11,illustratethetetrahedralcomplexeswithCN ¼ 4.

b.Squareplanarcomplexes: Squareplanarcoordinationislessfavouredstructurally(duetostrongerligand–ligandrepulsion)than tetrahedralcoordination,especiallybylargeligands.Iftheligands aresmall,octahedralcoordinationcanbeachieved.Fewmetal ionsareknowntoformsquareplanarcomplexes;itismostly restrictedtod8 tod9 ionslikePt(II),Pd(II),Ni(II),Cu(II)and Au(II),asillustratedin[Pt(NH3)4]2þ,[PtCl2(NH3)2]and [Ni(CN)4]2 shownin Figure12.

4.Coordinationnumber5: Thetwopossiblegeometriesforthiscoordinationnumberaretrigonalbipyramidal(TBP)andsquarepyramidal (SqPy).Inmostcases,thestructureisfoundtobedistorted.Theconversionbetweenthesetwogeometriescaneasilyoccurbyslight

Dimerizationandbridgingin(a)AlCl3 (b)PtCl2P(CH3)and(c)[Cu(SPMe3)].

Figure10

deformation.However,[CuCl5] 3 and[NiCN5] 3 exhibitTBPand squarepyramidalgeometryrespectively,asshownin Figure13.

5.Coordinationnumber6: Thisisthemostcommoncoordination number.SomemetalslikeCr(III)andCo(III)almostexclusivelyform six-coordinatecomplexes.Therearethreepopulararrangementsof sixligandsaroundthecentralmetalion,viz,hexagonalplanar,trigonal prismaticandoctahedral,asshownin Figure14

Figure11 TetrahedralBe(acac)2 chelate.
Figure12 Squareplanar[Ni(CN)4]2 complexion.

AnextensivestructuralstudyofthecomplexeswithCN ¼ 6hasshown thatthearrangementofsixligandsinasix-coordinationcompoundisalwaysoctahedral.Inoctahedralcomplexes,d2sp3 orsp3d2 hybridizationof orbitalsisobserved.Perfectoctahedralsymmetrycanbeobservedonly whenallofthesixligandsareidentical,otherwisethegeometrygetsdistorted.Itmayshoweithertetragonalortrigonaldistortion,asshownin Figure15.

Complexeswithhighercoordinationnumbershavealsobeenreported, butconsideringthescopeofthebook,thediscussiononsuchcomplexesis knowinglyomitted.

ThoughVBThasremainedanecessarytoolforthestudyofmetal complexes,itisnotsufficienttoexplainthecolourandcharacteristicsofthe absorptionspectraofthecomplexes.Thetheorycouldnotdemystifythe

Figure13 (a)Trigonalbipyramidal[CuCl5] 3 and(b)Squarepyramidal[NiCN5] 3 ions.
Figure14 (a)Hexagonalplanar,(b)trigonalprismaticand(c)octahedralgeometries.
Figure15 Distortionsinoctahedra.

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