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STRATEGIES AND APPLICATIONS IN QUANTUM CHEMISTRY

TOPICS IN

MOLECULAR ORGANIZATION AND ENGINEERING

The titles published in this series are listed at the end of this volume.

Strategies and Applications

in Quantum Chemistry

From Molecular Astrophysics

to Molecular Engineering

edited by

Y. ELLINGER

Ecole Normale Supérieure

& Observatoire de Paris,

Paris, France

and

M. DEFRANCESCHI

Commissariat à l'Energie Atomique,

Saclay, France

KLUWER ACADEMIC PUBLISHERS

NEWYORK, BOSTON, DORDRECHT, LONDON, MOSCOW

eBook ISBN:

0-306-46930-8

Print ISBN:

0-792-33837-5

©2002 Kluwer Academic Publishers

New York, Boston, Dordrecht, London, Moscow

All rights reserved

No part of this eBook may be reproduced or transmitted in any form or by any means, electronic, mechanical, recording, or otherwise, without written consent from the Publisher

Created in the United States of America

Visit Kluwer Online at:

http://www.kluweronline.com

and Kluwer's eBookstore at:

http://www.ebooks.kluweronline.com

Introduction to the Series

The Series ‘Topics in Molecular Organization and Engineering’ was initiated by the Symposium ‘Molecules in Physics, Chemistry, and Biology’, which was held in Paris in 1986. Appropriately dedicated to Professor Raymond Daudel, the symposium was both broad in its scope and penetrating in its detail. The sections of the symposium were: 1. The Concept of a Molecule; 2. Statics and Dynamics of Isolated Molecules; 3. Molecular Interactions, Aggregates and Materials; 4. Molecules in the Biological Sciences, and 5. Molecules in Neurobiology and Sociobiology. There were invited lectures, poster sessions and, at the end, a wideranging general discussion, appropriate to Professor Daudel’s long and distinguished career in science and his interests in philosophy and the arts.

These proceedings have been arranged into eighteen chapters which make up the first four volumes of this series: Volume I, ‘General Introduction to Molecular

Sciences’; Volume II, ‘Physical Aspects of Molecular Systems’; Volume III, ‘Electronic Structure and Chemical Reactivity’; and Volume IV, ‘Molecular Phenomena in Biological Sciences’. The molecular concept includes the logical basis for geometrical and electronic structures, thermodynamic and kinetic properties, states of aggregation, physical and chemical transformations, specificity of biologically important interactions, and experimental and theoretical methods for studies of these properties. The scientific subjects range therefore through the fundamentals of physics, solid-state properties, all branches of chemistry, biochemistry, and molecular biology. In some of the essays, the authors consider relationships to more philosophic or artistic matters.

In Science, every concept, question, conclusion, experimental result, method, theory or relationship is always open to reexamination. Molecules do exist! Never- theless, there are serious questions about precise definition. Some of these questions lie at the foundations of modern physics, and some involve states of aggre- gation or extreme conditions such as intense radiation fields or the region of the continuum. There are some molecular properties that are definable only within limits, for example, the geometrical structure of non-rigid molecules, properties consistent with the uncertainty principle, or those limited by the neglect of quan- tum-field, relativistic or other effects. And there are properties which depend specifically on a state of aggregation, such as superconductivity, ferroelectric (and anti). ferromagnetic (and anti). superfluidity, excitons. polarons, etc. Thus, any molecular definition may need to be extended in a more complex situation.

Chemistry, more than any other science, creates most of its new materials. At least so far, synthesis of new molecules is not represented in this series, although the principles of chemical reactivity and the statistical mechanical aspects are included. Similarly, it is the more physico-chemical aspects of biochemistry, molecular biology and biology itself that are addressed by the examination of questions related to molecular recognition, immunological specificity, molecular pathology, photochemical effects, and molecular communication within the living organism.

v

vi

INTRODUCTION TO THE SERIES

Many of these questions, and others, are to be considered in the Series ‘Topics in Molecular Organization and Engineering’. In the first four volumes a central core is presented, partly with some emphasis on Theoretical and Physical Chemis- try. In later volumes, sets of related papers as well as single monographs are to be expected; these may arise from proceedings of symposia, invitations for papers on specific topics, initiatives from authors, or translations. Given the very rapid development of the scope of molecular sciences, both within disciplines and across disciplinary lines, it will be interesting to see how the topics of later volumes of this series expand our knowledge and ideas.

WILLIAM N. LIPSCOMB

Table of Contents

Prefaces

 

M. Defranceschi and Y. Ellinger

xi

A. Pullman and B. Pullman

xiii

Quantum Chemistry: the new frontiers

 

J. Tomasi

1

Strategies and Formalisms

 

Theory of orbital optimization in SCF and MCSCF calculations

 

C. Chavy, J. Ridard and B. Levy

19

A coupled MCSCF-perturbation treatment of electronic spectra

 

O. Parisel and Y. Ellinger

39

Reduced density matrix versus wave function: recent developments

 

C. Valdemoro

55

The real generators of the unitary group

 

P.

77

Convergence of expansions in a Gaussian basis

 

W. Kutzelnigg

79

Quantum chemistry in front of symmetry breakings

 

J.P. Malrieu and J.P. Daudey

103

Molecular orbital electronegativity as electron chemical potential in

 

semi-empirical SCF schemes

 

G.Del Re

119

Quasicrystals and momentum space

 

J.L. Calais

127

Quantum chemistry computations in momentum space

 

M. Defranceschi, J. Delhalle, L. de Windt, P. Fischer and J.G. Fripiat

139

Core-valence separation in the study of atomic clusters

 

O. Salvetti

159

Core-hole states and the Koopmans theorem

 

C. Amovilli and R. McWeeny

165

viii

 

An application of the half-projected Hartree-Fock model to the direct

 

determination of the lowest singlet and triplet excited states of molecular systems

 

Y.G. Smeyers, P. Fernandez-Serra and M.B. Ruiz

175

FSGO Hartree-Fock instabilities of hydrogen in external electric fields

 

J.M. André, G, Hardy, D.H. Mosley and L. Piela

189

Electronic charge density of quantum systems in the presence of an electric field:

 

a search for alternative approaches

 

G.P. Arrighini and C. Guidotti

203

How much correlation can we expect to account for in density functional calculations ?

Case studies of electrostatic properties of small molecules

 

J. Weber, P. Jaber, P. Gulbinat and P.Y. Morgantini

219

Applications of nested summation symbols to Quantum Chemistry:

 

formalism and programming techniques

 

R. Carbó and E. Besalú

229

Applications

to Physical

Phenomena

249

Vibrational modulation effects on EPR spectra

 

V. Barone, A. Grand, C. Minichino and R. Subra

251

Ab initio calculations of polarizabilities in molecules:

 

some proposals to this challenging problem

 

M. Tadjeddine and J.P. Flament

 

261

Coupled Hartree-Fock approach to electric hyperpolarizability tensors in benzene

 

P. Lazzeretti, M. Malagoli and R. Zanasi

279

Second order static hyperpolarizabilities of insaturated polymers

 

D. Hammoutene, G. Boucekkine and A. Boucekkine

297

An ab-initio study of the magnetic properties of the isoelectronic series

 

 

and

 

 

 

M. Nait Achour, A. Boucekkine and R. Lissillour

313

CI calculations of miscellaneous spectroscopic observables

 

for the

and

states

 

 

G. de Brouckere

 

 

319

Theoretical treatment of state-selective charge-transfer processes -

 

as a case study

 

 

 

M.C. Bacchus-Montabonnel

 

 

333

An ab-initio study of the lowest 1,3

states of BH.

 

Quasi-diabatic curves and vibronic couplings

M. Persico, R. Cimiraglia and F. Spiegelmann

349

 

ix

Magnesium photoionization: a K-matrix calculation with GTO bases

 

R. Moccia and P. Spizzo

367

Investigation of photochemical paths by a combined theoretical

 

and experimental approach

 

F. Momicchioli, I. Baraldi, A. Carnevali and G. Ponterini

379

: a puzzling interstellar molecule

 

F. Pauzat and D. Talbi

401

An ab initio study of the intramolecular hydrogen shift in nitromethane

 

and its acid-dissociated anion

 

Y. Tao

421

From cluster to infinite solid: a quantum study of the electronic properties of

 

A. Rahmouni and C. Barbier

427

Ab-initio calculations on muonium adducts of fullerenes

 

T.A. Claxton

441

List of Authors

457

Subject Index

459

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