The Chemistry of Alkenes Edited by Saul Patai Copyright 0 1964 John Wiley & Sons Ltd. All Rights Reserved. The chemistry of Edited by SAUL PATAI The Hebrew Uniuersily Jerusalem, Israel 1964 INTERSCIENCE PUBLISHERS a division of John Wiley & Sons LONDOPI' - YORK - SYDNEY KEW Copyright 0 1964John Wiley & Sons Ltd. All Rights Reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means electronic, mechanical photocopying, recording or otherwise, without the prior written permis- sion of the Copyright owner. Library of Congress Catalog Card Number 64-252 18 ISBN 0 470 66930 6 Reprinted 1972 Printctl in Great Britain by Unwin Urotlicrs 1,imitc.d Tlie Grcsham Press, Old IVoking, Surrey :\ member or tlic Staples Printing Group Contribwti ng authors John 1. G. Cadogan St. Salvator’s College, University of St. Andrews, Scotland Michael Cais Technion - Israel Institute of Technology, Haifa, Israel C. A. Coulson Mathematics Institute, University of Oxford, England Thomas I. Crowell University of Virginia, Charlottesville, Virginia, U.S.A. Robert H. DeWolfe University of California at Santa Barbara, USA. Herbert Fischer Max Planck Institute, Heidelberg, Germany Rudolf Grashey Institute for Organic Chemistry of the University of Munich, Germany Rolf Huisgen Institute for Organic Chemistry of the University of Munich, Germany Edward J. Kuchar Analytical Services, Oiin Mathieson Chemi- cal Corporation, New Haven, Connecticut, U.S.A. Richard N. Lace:# E.P. Research Cei-itre, Siiiibiiiy-oii-Thames, Middlesex, England Allan Maccoll University College, University of London, England Kenneth Mackenzie Bedford College, University of London, England Saul Patai The Hebrew University, Jerusalem, Israel Michael J. Perkins King’s College, University of London, EEgland Zvi Rappoport The Hebrew University, Jerusalem, Israel Jurgen Sauer Institute for Organic Chemistry of the University of Munich, Germany William Saunders, Jr. University of Rochester, New York, USA. H. E. Theal Stewart Queen’s College, University of St. Andrews, Dundee, Scotland William G. Young University of California at Los Angeles, U.S.A. V Foreword The aim of this book is to prcsent an up-to-clatc dissertation on the chemistry of the carbon-carbon dolihle bond in all its aspects. An encyclopaedic coverage of all known reactions, data, or measurements relating to the topics covered in the various chapters was not intended; indeed the authors were asked to refrain from doing so. Rather, the emphasis was put on comparative and critical discussion of the sub- jects, addressed to the advanced student and research chemist. It was attempted to include far as possible all the relevant information as on the recent advances regarding the theory and practice of the subject, stressing especially the theoretical, physical and mechanistical Iii this it may possibly be argued that both rnp--; -n.b”L:-plnL”o . .-vs:,l*c-,l- w GF directions of ?L reversible reaction, say addition and elimination, should have been discussed together in the same chapter. It was attempted to prepare such a plan for the contents of this book, but it soon became clear that it could not be carried out to its logical conclusion in a multi-authored treatise. The close interconnection of the :Jarious parts of the subject would make it possibly more suitable for unified treatment by a single author, if one could be found possessing the qualifications of encyclopaedicai knowledge and unlimited time for writing. Therefore, while aware of the limitations of the present plan, this had to be adopted, giving each author the task of writing a more or less defined account of a single aspect of the chemistry of alkenes. The treatment of the material was limited to the reactions in which the carbon-carbon double bond is either formed or is the site of reaction, and reactions occurring in parts of the molecule remote from the C=C bond are discussed only if they are influenced by the latter. This puts the emphasis on the C=C bond as afunctional group. Again it may be argued that the treatment of a single functional group is not in accordance with the most modern principles, since mechanistic similarities unite the reactions of differcnt functional groups, as for instance the nucleophilic reactions on an activated C=C bond and on a carbonyl carbon atom. Still, organic chemistry is in most places taught according to functional groups and the mnemotechnic advan- tages of this division are so great that it will probably not be displaced vii ... Vlll Foreword for many decades yet to come. We hope that a series of advanced treatises on the chemistry of the functional groups will be a useful and valuable addition to the literature of organic chemistry, and the present volume is the first in this planned series. There are two obvious gaps in the structure of the book. The chapters on ‘Electrophilic Attacks on Alkenes ’ and on ‘Biochemical Formation and Reactions of Alkenes’ were promised but were not delivered. After several months waiting, what is telieved by the editor and the publisher to be the lesser evil was chosen and it was decided to publish the book in its present form, with these cha-pters missing, further delay would have rendered the text of the other as chapters out of date. I wish to thank Dr. Arnold Weissberger who encouraged me tn undertake the task of editing this book, and who was always ready to help me with friendly advice and helpful suggestions. My thanks are also due to the staff of the publisher’s editorial ofice in London, who took upon themselves additional work and trouble to overcome the difficulties of coping with an editor residing several thousand kilo- meters distant from their office. Finally, it is a pleasure to acknowl- edge the help given to me in many ways by my senior pupils and younger colleagues, especially by Dr. 2. Rappoport and by Mr. M. Michmann, who also undertook the arduous task of preparing the indexes. Jerusalem, May SAULP ATAI 1964 contents 1. Wave mechanics and the alkene bond 1 C. A. Coulson and E. Theal Stewart 2. Elimination reactions in solution 149 William H. Saunders, Jr. 3. Olefin-forming eliminations in the gas phase 203 Allan Maccoll 4. Aikene-forming condensation reactions 24 1 Thomas I. Crowell 5. Detection and determination of the alkenes 27 1 Edward J. ICuchar 6. Alkene complexes of same transition metals 335 Michael Cais 7. Alkene rearrangements 38 7 Kenneth Mackenzie 8. Nucleophilic attacks on carbon-carbon double bonds 469 Saul Patai and Zvi Rappoport 9. Reactions of alkenes with radicals and carbenes 585 John I. G. Cadogan and Michael J. Perkins 10. Allylic reactions 68 1 Robert H. DeWolfe and William G. Young 11, Cycloaddition reactions of alkenes 739 Rolf Huisgen, Rudolf Grashey and Jiirgen Sauer 12. Conjugated dienes 955 Michael Cais 13. Cumulenes 1025 Herbert Fischcr 14. Ketenes 1161 Richard N. Lacey Author in dex 1229 Subject index 1291 ix The Chemistry of Alkenes Edited by Saul Patai Copyright 0 1964 John Wiley & Sons Ltd. All Rights Reserved. 1 CHAPTER awe -mechanics and the ene bon C. A. COULSON Mathematical Institute, University of Oxford, Englaird and E. THEASLT EWART Queen’s College, Dundee, Scotland . I. INTRODUCTION 2 11. HYDROGEN-LVIJKAVEE FUNCTION.S 6 A. Energy Levels . 6 B. The Ground State of the Hydrogen Atom . 7 C. The Schrhdinger Energy Equation . 9 D. Atomic Wave Functions . 11 E. Quantum Numbers . 15 F. Pictorial Representation of Atomic Orbitals . 16 G. Nodes . 22 H. Degeneracy . 22 I. Orthogonality . 24 111. APPROXIMAWTEA VEF UNCTIONFOSR MANY-ELECTRSOYNS TEMS2 4 A. Energies Corresponding to Approximate Wave Functions 24 B. The Variation Principle for Ground-state Wave Functions 27 C. The Hamiltonian Operator for the Hydrogen Molecule . 27 D. Product Wave Functions . 29 . IV. THEG ROUNDST ATEO F THE HYDROGMENO LECULE 32 A. Valence-bond Wave Functions . 32 B. The Overlap Integral . 38 C. Molecular-orbital Wave Function . 39 D. Configuration Interaction . 42 E. The Scale Parameter (Orbital Exponent) . 43 F. Electron Density . 44 V. ANTISYMMETRIWZEADV EF UNCTION.S 46 A. Electron Spin . 46 . B. The Pauli Principle 48 C. Determinantal Wave Functions . 51 D. Spin States . 53 1 C. A. Coulson and E. T. Stewart . . VI. LOW-ENERGSYT ATESO F THE HYDROCZMNO LECULE 57 A. Atomic-orbital Bases . . 57 . . B. Molecular-orbital Wave Functions 59 C. The Variation Principle for Excited-state Wave Functions 62 D. Valence-bond Wave Functions . . 63 E. Linear Variation Functions . 64 F. Configuration Interaction in the Ground State . . 67 VII. MOLECULAR-ORBIWTAALV EF UNCTIOFNORS DIATOMIMC OLE- . . CULES 69 A. Orbital Energies and ' One-electron' Hamiltonian Operators 69 . . B. Linear Combinations of Atomic Orbitals C. Diatomic Molecules . (LCAO) . 7784 D. Fluorine . . 80 . E. Bond Order . 85 F. Hydrogen Fluoride . . 87 VIII. MOLECULAR-ORBIWTAALV EF UNCTIONFOSR SIMPLEO RGANIC MOLECULES. . 88 A. Acetylene. . 88 B. Bond Orbitals . . 91 C. Hybridization . . 93 D. Ethylene . . 95 E. Bent-bond Orbitals . . 98 F. Methane . . 102 G. Atomic Orbitals in Molecular Wave Functions . 104 IX. THEV ELECTRONH YPOTHESX.S . 106 A. n-Electroil Energy . . 106 B. r-Electron Wave Functions . 108 x. THEH UCKEALP PROXIhlATION . . 110 A. Ethylene . . 110 . B. Buta-1,3-diene . 116 C. Higher Polyenes . . 122 D. Delocalization Energy . . 123 E. Antisymmetrized Wave Functions . . 127 SPECTRA . . 129 XT. A. Ethylene and the Higher Polyenes . . 129 B. Ethylene: Rotation Around the Double Bond . 135 C. Alkylation of Ethylenes : Substituted Alkenes . 139 XII. REFERENCE.S . 146 I. INTRODUCTION There will be very few readers of this chapter who will not at first question the relevance of a great deal of the material in its earlier sections. It is not until section VIII that we venture to discuss an alkene molecule, and this may well seem excessively cautious at a time when all but the most sheltered students of elementary organic I. Wave Mechanics and the Alkene Bond 3 chemistry are introduced to terms Eke ‘orbital,’ ‘hybridization’, and ‘overlap’ almost as soon as they have learnt the structural formulae of the simplest hydrocarbons. But of COKS~ a wzve-mechanical descriprion of bonding in organic molecules requires far more than just the assimilation of a little quantum-chemical terminology into the language of classical organic chemistry. We would do wrong not to make it clear at the outset that, from the wave-mechanical point of view, the 0-m systems with which this book is concerned are by no means as straightforward as is often suggested. Any worth-while study of the bonding in an alkene or polyene molecule (or, indeed, any polyatomic molecule) demands, quite inescapably, a prior understanding of the quantum chemistry of much simpler molecules. We have tried to provide a basis for this understanding in sections I1 to VII, our aim in these sections being to give an account which readers whose interests are in other fields of chemistry will find neither overtaxingly difficult nor unrewardingly elementary. Because most other procedures lead to computational excesses, molecular ~4raveh nctions are almost invariably compounded from atomic wave functions, which in turn are formulated by analogy with :he wave functions for the one-electron series H, He +,L i2+ ,B e3 .. + y.. So in section I1 we discuss ‘hydrogen-like’ atomic wave functions and the energy levels to which they are related by the Schrodinger wave equation. Wave functions for systems of more than one electron must always be approxima;e in some degree, and the analytical forms in which they are expressed can never be unique. It is mainly for this reason that the theoretical study of alkene niolecules must be preceded by a study of much simpler systcms, in which it is comparatively easy to demonstrate the nature and the qlrantitative importance of the approximations. In section I11 we outline some of the principles involved in obtaining approximate wave functions, and in section IV we apply these principles to the ground state of the hydrogen molecule, the wave functions for which have long been used as prototypes for the wave functions of almost all covalently bonded molecules. In any wave function built up from two or more spatial orbitals it is necessary to take into account electron spin and the Pauli principle, which are extraneous to Schrodinger wave mechanics, and which have accordingly to be dealt with somewhat arbitrarily. Where results of wide applicability are required, the arbitrary procedure is most conveniently formulated in term of angular rtlomentum; but, to 4 C. A. Coulson and E. Stewart T. avoid embarking on an exposition which, though perfectly straight- forward, is lengthy and not essential for our purposes, we give in section V an alternative formulation-admittedly restricted-in terms ~fclectronicen ergy. In this we make use of the fairly detailed energy relations derived in section IV. It is not always appreciated that, when the ground-state and the lower-excited-state wave functions for a molecule are built up from the same set of ground-state atomic orbitals, the molecular wave functions for the excited states are normally far less satisfactory than that for the ground state. This is an important point, so we have gone out of our way to emphasize it in section VI. In the same section we discuss linear variation functions, partly to illustrate the close resemblance between molecular-orbital and valence-bond wave functions, and partly to provide a background for the subsequent description of wave functions based on linear combinations of atomic orbitals. In sections VII and VIII, after examining the restrictions on the linear combination of atomic orbitals which result from differences in symmetry or energy, we describe wave fumtions for the five molecules F,, HF, C2H4, CH4 (taken in order of increasing geometrical C2H2, complexity). In a monograph on the alkenes the preliminary study of the two diatomic molecules may seem an intrusion, but it enor- mously simplifies the later description of bonding in polyatomic organic molecules. In consequence of the developm.ent of electronic computing resources, much precise calculation on linear molecules, especially diatomic molecules, has been carried out in recent years. We have discussed this important work in some detail, partly because (so far as we know) no simple account of it has been given elsewhere, but mainly because most of the results are of quite general application and are by no means restricted to diatomic molecules, or even to linear molecules. In selecting and HF for detailed comparison F2 with our purpose has been to draw attention to some of the C2H2 quantum-chemical resemblances between inorganic and organic molecules. The remaining sections of the chapter are devoted to various aspects of the quantum chemistry of n-electron systems. In these sections we have tried to provide the background necessary for a perceptive study of the literature; we have made no attempt to review or catalogue the enormous amount of work published during the past thirty years. After a critical examination of the concept of rr-electron energy in section IX, we explain the Huckel approximation in section
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