Structure and Bonding 170 Series Editor: D.M.P. Mingos Editor D. Michael P. Mingos The Chemical Bond II 100 Years Old and Getting Stronger 170 Structure and Bonding SeriesEditor: D.M.P.Mingos,Oxford,UnitedKingdom EditorialBoard: F.A.Armstrong,Oxford,UnitedKingdom X.Duan,Beijing,China L.H.Gade,Heidelberg,Germany K.R.Poeppelmeier,Evanston,IL,USA G.Parkin,NewYork,USA M.Takano,Kyoto,Japan Aims and Scope The series Structure and Bonding publishes critical reviews on topics of research concerned withchemical structure andbonding.Thescope ofthe series spans the entirePeriodicTableandaddressesstructureandbondingissuesassociatedwithall of the elements. It also focuses attention on new and developing areas of modern structuraland theoretical chemistrysuch asnanostructures, molecularelectronics, designed molecular solids, surfaces, metal clusters and supramolecular structures. Physical and spectroscopic techniques used to determine, examine and model structures fall within the purview of Structure and Bonding to the extent that the focus is on the scientific results obtained and not on specialist information concerning the techniques themselves. Issues associatedwith the development of bonding models and generalizations that illuminate the reactivity pathways and ratesofchemicalprocessesarealsorelevant. The individual volumes in the series are thematic. The goal of each volume is to givethereader,whetheratauniversityorinindustry,acomprehensiveoverviewof an area where new insights are emerging that are of interest to a larger scientific audience.Thuseachreviewwithinthevolumecriticallysurveysoneaspectofthat topicandplacesitwithinthecontextofthevolumeasawhole.Themostsignificant developmentsofthelast5to10yearsshouldbepresentedusingselectedexamples to illustrate the principles discussed. A description of the physical basis of the experimentaltechniquesthathavebeenusedtoprovidetheprimarydatamayalso beappropriate,ifithasnotbeencoveredindetailelsewhere.Thecoverageneednot be exhaustive in data, but should rather be conceptual, concentrating on the new principlesbeingdevelopedthatwillallowthereader,whoisnotaspecialistinthe area covered, to understand the data presented. Discussion of possible future researchdirectionsintheareaiswelcomed. Reviewarticlesfortheindividualvolumesareinvitedbythevolumeeditors. In references Structure and Bonding is abbreviated Struct Bond and is cited as a journal. Moreinformationaboutthisseriesathttp://www.springer.com/series/430 D. Michael P. Mingos Editor The Chemical Bond II 100 Years Old and Getting Stronger With contributions by (cid:2) (cid:2) (cid:2) (cid:2) S. Alvarez B. Braida D. Danovich A. Falceto (cid:2) (cid:2) (cid:2) (cid:2) A. Haaland P.C. Hiberty M. Kohout P.L.A. Popelier (cid:2) (cid:2) (cid:2) S. Shaik B. Silvi M. Tilset W. Wu Editor D.MichaelP.Mingos UniversityofOxford Oxford,UnitedKingdom ISSN0081-5993 ISSN1616-8550 (electronic) StructureandBonding ISBN978-3-319-33520-9 ISBN978-3-319-33522-3 (eBook) DOI10.1007/978-3-319-33522-3 LibraryofCongressControlNumber:2016940193 ©SpringerInternationalPublishingSwitzerland2016 Thisworkissubjecttocopyright.AllrightsarereservedbythePublisher,whetherthewholeorpartof the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilarmethodologynowknownorhereafterdeveloped. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexempt fromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse. Thepublisher,theauthorsandtheeditorsaresafetoassumethattheadviceandinformationinthis book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained hereinorforanyerrorsoromissionsthatmayhavebeenmade. Printedonacid-freepaper ThisSpringerimprintispublishedbySpringerNature TheregisteredcompanyisSpringerInternationalPublishingAGSwitzerland Preface These three volumes ofStructure and Bonding celebrate the 100th anniversary of theseminalpapersbyLewisandKossel.Thesepapers,whichformedthebasisof thecurrentviewofthechemicalbond,werepublishedindependentlyin1916and have greatly influenced the development of theoretical chemistry during the last century. Their essential ideas, which were initially formulated within classical Newtonian framework, have withstood many experimental tests and proved to be sufficiently flexible to incorporate the newer quantum mechanical ideas, which emerged in the 1920s and 1930s. Most importantly, Lewis’ description of the covalent bond provided a graphical notation and a language for experimental chemists, which enabled generations of chemists to constructively discuss and predictthestructuresofmoleculesandgraphicallyrepresentthecourseofchemical reactions.TheLewisandKosseldescriptionsofchemicalbondingarecornerstones ofthe undergraduate curriculum.Theyhave achieved thispre-eminent distinction by evolving and incorporating a flexible view of chemical bonding, based on the symmetry characteristics and radial distribution functions of atomic orbitals. The development of a universally accepted notation for representing the bonds in inorganic and organic molecules has been particularly significant. Spectroscopic andstructuralresults,whichemergedaschemistryincorporatedquantummechan- icalconcepts,provideddetailedinformationconcerningthestructuresofmolecules notonlyinthesolidstatebutalsointheliquidandgasphases.Thesehaveprovided increasingly rigorous tests of the bonding models, which emerged from the quan- tummechanicaldescriptionofthechemicalbond. Theideatocelebratethisimportant anniversary inchemicalevolution struck a chord with leading figures in the area of theoretical chemistry and resulted in the submission of 18 chapters, and it became necessary to produce three separate volumes of Structure and Bonding to satisfactorily account for the enormous influence Lewis and Kossel’s seminal ideas had on modern chemistry. Following a historical introduction by myself, Volume 1 contains chapters by Dietar Stalke, Zhenyang Lin, Gernot Frenking, Jean-Francois Halet, Jen-Yves Saillard, Jose´ M. Goicoechea, John McGrady and Michael Hall covering a variety of v vi Preface experimentalandtheoreticalstudiesoftopicalchemicalbondingissues.Examples includetheimplicationsofexperimentallydeterminedelectrondensitiesonLewis bondstructures,theLewisdescriptionoflonepairsintransitionmetalcomplexes, dative Lewis bonds, the bonding patterns in large metal clusters and the role of carbonyl ligands in stabilising such clusters and the electronic properties of endohedralmetalclusters. Volume2startswithadetailedaccountofLewisandKossel’slegacyindefining thebondinginionicandcovalentcompoundsofmaingroupelementsandaddresses thethermochemicalandbondlengthimplicationsoftheLewisandKosselmodels. The subsequent chapters by Paul Poppelier, Miroslav Kohout, Sason Shaik, Philippe Hiberty and Bernard Silvi use highly accurate theoretical calculations to address and explore the fundamental nature of the covalent bond. Discussions of quantum chemical topology, the definition of electron pairs in positional space, provideadeeperinsightintothenatureofthechemicalbondandtherelevanceof the ELF topological approach to the Lewis bond model and the evolution of electronpairbondingincovalent,ionicandchargeshiftbonds.TheLewisdescrip- tion of the chemical bond was limited to single, double and triple bonds, but in recent years compounds with bond orders greater than three have become com- monplace, and the final chapter by Santiago Alvarez compares the electronic characteristicsofCr–Crquadrupleandquintuplebonds. InVolume3,theimplicationsoftheLewisbondingideasformoderninorganic, organic and organometallic chemistry are discussed by Douglas Stephen, Philip Miller, Robert Crabtree, Malcolm Green, Ged Parkin, Didier Bourissou and Ghenwa Bouhadir. These fascinating articles demonstrate how non-conventional Lewisacidsandbaseshavebeenusedtodevelopnewchemistrybasedonfrustrated Lewis pairs and describe the modern coordination chemistry of triphosphine ligands and its catalytic implications. Lewis developed the concept that bases function by donating non-bonding electron pairs, but Crabtree recounts how this view has had to be modified by the discovery of complexes where π-bonds and σ-bonds act as donors. Green and Parkin extend the basic Lewis concepts to organometallic complexes with three-centre two-electron bonds. Bourissou and Bouhadir describe compounds where the lone pairs on transition metals are able tofunctionasLewisbases–afieldwhichhasgrownenormouslyinrecentyears. Thisbriefsummaryprovidesanindicationofhowthebasicideasintroducedby Lewis andKosselhaveblossomedoverthelast centuryasaresultofthenourish- mentprovidedbyquantumtheoryandtheloveandattentionbestowedonthemby successivegenerationsofchemists.Wehopethatthequalityanddepthofthemany contributions in these three volumes will convince the reader that the sentiment expressedinthetitleofthisseries“TheChemicalBond100YearsOldandGetting Stronger”isappropriate. Oxford,UK D.MichaelP.Mingos April2016 Contents LewisandKossel’sLegacy:StructureandBondinginMain-Group Compounds. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 ArneHaalandandMatsTilset QuantumChemicalTopology. .. . . . . . . .. . . . . . .. . . . . . .. . . . . . . .. 71 PaulL.A.Popelier ElectronPairsinPositionSpace. . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . 119 M.Kohout NewLandscapeofElectron-PairBonding:Covalent,Ionic, andCharge-ShiftBonds. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 SasonShaik,DavidDanovich,BenoitBraida,WeiWu, andPhilippeC.Hiberty TheRelevanceoftheELFTopologicalApproachtotheLewis,Kossel, andLangmuirBondModel. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 213 BernardSilvi ComparisonoftheCr–CrQuadrupleandQuintupleBonding Mechanisms. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249 Andre´sFalcetoandSantiagoAlvarez Index. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265 vii StructBond(2016)170:1–70 DOI:10.1007/430_2015_192 #SpringerInternationalPublishingSwitzerland2016 Publishedonline:14February2016 ’ Lewis and Kossel s Legacy: Structure and Bonding in Main-Group Compounds ArneHaalandandMatsTilset Abstract In this article the authors provide a brief review of the main develop- ments in our understanding of chemical bonding in representative compounds of themaingroupelementsfromLewis’andKossel’sshell-settingarticlesin1916and untilthepresent. Keywords Bondenergies(cid:2)Coordinationcompounds (cid:2)Coordinationgeometries (cid:2) Covalent bonds (cid:2) Covalent radii (cid:2) Dative bonds (cid:2) Electronegativity (cid:2) Hypervalent compounds(cid:2)Ionicbonds(cid:2)Ionicradii(cid:2)Subvalentcompounds(cid:2)TheVSEPRmodel Contents 1 Introduction:TheContributionsofG.N.Lewis,W.Kossel,andI.Langmuirfrom1916 to1923...................................................................................... 2 2 StructureandBondinginCrystallineAlkaliMetalHalides.............................. 6 2.1 StructureandBondinginGaseous,MonomericAlkaliMetalHalides............. 9 3 TheDihalidesoftheGroup2andGroup12Metals:FromIonictoPolarCovalent Bonding..................................................................................... 11 3.1 StructuresandBondingintheSolidState........................................... 11 3.2 TheElectricalConductivitiesofMoltenDichlorides............................... 12 3.3 StructureandBondingintheGaseousMonomers.................................. 13 4 IonicRadii.................................................................................. 16 4.1 AtomicRadiifromUnitCellDimensions........................................... 16 4.2 TopologicalAnalysesofChargeDensitiesinIonicCrystalsand“CrystalRadii”. 19 5 ElectronegativityandElectronegativityCoefficients...................................... 20 6 CovalentCompounds:BondDistancesandCoordinationGeometries.................. 26 6.1 TheCrystalStructuresoftheGroup14Elements................................... 26 6.2 StandardTetrahedralBondRadii.................................................... 26 6.3 CovalentRadii........................................................................ 27 A.Haaland(*)andM.Tilset DepartmentofChemistry,UniversityofOslo,POBox1033Blindern,0315Oslo,Norway e-mail:[email protected];[email protected] 2 A.HaalandandM.Tilset 6.4 CoordinationGeometriesandspHybridAtomicOrbitals.......................... 29 6.5 CoordinationGeometriesandElectronCounts...................................... 31 6.6 InductiveEffectsonBondDistancesandBondEnergies........................... 34 7 CoordinationCompoundsandElectronDonor–AcceptorBonds......................... 37 7.1 Werner’sModelfortheStructuresofComplexSaltsofTransitionMetals........ 37 7.2 CoordinateLinksandElectronDonor–AcceptorBonds............................ 39 7.3 TheDifferenceBetweenCoordinateandNormalCovalentBonds:AmineBorane andEthane............................................................................ 40 7.4 AminoboraneandDativeπ-Bonding................................................ 42 7.5 CoordinationCompoundsofAluminum............................................. 43 7.6 AluminumAmides,AluminumImides,andAluminumNitride:Al–NBonds withPartialDativeCharacter........................................................ 45 7.7 SomeCoordinationCompoundsofZincandSilicon............................... 47 7.8 AnionicComplexes................................................................... 48 8 Lewis-ValentandSubvalentChloridesoftheGroup13and14Elements............... 50 8.1 TheInertElectronPair............................................................... 50 8.2 ThePolarCovalentChloridesoftheGroup12Metals............................. 50 8.3 TheGroup13ElementChlorides.................................................... 51 8.4 TheGroup14ElementChlorides.................................................... 54 9 CompoundsofHypervalentMain-GroupElements...................................... 55 9.1 TheStructuresofHypervalentCompoundsofPhosphorus......................... 56 9.2 TheStructuresofHypervalentCompoundsofSulfur............................... 58 9.3 HypervalentCompoundsofGroup17Elements.................................... 61 9.4 HypervalentCompoundsofXenon.................................................. 62 9.5 NitrogenOxidesandRelatedCompounds........................................... 62 9.6 d-OrbitalsorNot:AbInitioCalculationsandElectronDensityStudies........... 65 10 ConcludingRemarks....................................................................... 67 10.1 ElectronPairsandElectronOctets................................................. 67 References........................................................................................ 68 1 Introduction: The Contributions of G. N. Lewis, W. Kossel, and I. Langmuir from 1916 to 1923 The developments inthe fields ofatomicphysicsand chemistry that led upto the publicationsbyG.N.LewisandW.Kosselin1916havebeendescribedbyMingos [1]. We shall give a brief summary of their contributions to our understanding of chemical bonding before proceeding to an account of how their ideas have been developedandmodifiedduringthefollowingdecades. Both Lewis [2] and Kossel [3] argued on the basis of a shell structure of the atoms. The first shell may contain one or two electrons and the second and third from one to eight. The chemical inertness of noble gas atoms, like Ne and Ar, suggested that atoms with eight electrons in the outmost shell are particularly stable.Kosselnotedthattheelementsinthegroupprecedingthenoblegases,like FandCl,haveastrongtendencytoformsinglychargedanionsandthattheatomsin the group preceding the halogens, like O and S, have a tendency to form doubly charged anions. On the other hand, the elements in the group following the noble