ADVANCES IN THE THEORY OF QUANTUM SYSTEMS IN AND Progress in and Physics

VOLUME 22

Honorary Editors: Sir Harold W. Kroto (Florida State University, Tallahassee, FL, U.S.A.) Pr Yves Chauvin (Institut Franc¸ais du P´etrole, Tours, ) Editors-in-Chief: J. Maruani (formerly Laboratoire de Chimie Physique, Paris, France) S. Wilson (formerly Rutherford Appleton Laboratory, Oxfordshire, U.K.) Editorial Board: V. Aquilanti (Universit`a di Perugia, Italy) E. Brandas¨ (University of Uppsala, Sweden) L. Cederbaum (Physikalisch-Chemisches Institut, Heidelberg, Germany) G. Delgado-Barrio (Instituto de Matem´aticas y F´ısica Fundamental, Madrid, Spain) E.K.U. Gross (Freie Universit¨at, Berlin, Germany) K. Hirao (University of Tokyo, Japan) E. Kryachko (Bogolyubov Institute for , Kiev, Ukraine) R. Lefebvre (Universit´e Pierre-et-Marie-Curie, Paris, France) R. Levine (Hebrew University of Jerusalem, Israel) K. Lindenberg (University of California at San Diego, CA, U.S.A.) R. McWeeny (Universit`a di Pisa, Italy) M.A.C. Nascimento (Instituto de Qu´ımica, Rio de Janeiro, Brazil) P. Piecuch (Michigan State University, East Lansing, MI, U.S.A.) M. Quack (ETH Z¨urich, Switzerland) S.D. Schwartz (Yeshiva University, Bronx, NY, U.S.A.) A. Wang (University of British Columbia, Vancouver, BC, )

Former Editors and Editorial Board Members: I. Prigogine (†) H. Hubac(*)ˇ J. Rychlewski (†)M.P.Levy(*) Y. G . S m ey e r s ( †) G.L. Malli (*) R. Daudel (†) P.G. Mezey (*) M. Mateev (†)N.Rahman(*) W.N. Lipscomb (†) S. Suhai (*) H. Agren˚ (*) O. Tapia (*) D. Avnir (*) P.R. Taylor (*) J. Cioslowski (*) R.G. Woolley (*) W.F. van Gunsteren (*) † deceased, * end of term

For further volumes: http://www.springer.com/series/6464 Advances in the Theory of Quantum Systems in Chemistry and Physics

Edited by

PHILIP E. HOGGAN Universit´e Blaise-Pascal, Clermont-Ferrand, France

ERKKI J. BRANDAS¨ Department of , University of Uppsala, Sweden

JEAN MARUANI Laboratoire de Chimie Physique, CNRS and UPMC, Paris, France

PIOTR PIECUCH Michigan State University, East Lansing, Michigan, USA and

GERARDO DELGADO-BARRIO Instituto de F´ısica Fundamental, CSIC, Madrid, Spain

123 Editors Philip E. Hoggan Erkki J. Brandas¨ Pascal Institute Department of Quantum Chemistry Labex IMOBS3, BP 80026 University of Uppsala F-63171 Aubiere` Cedex S-751 20 Uppsala France Sweden [email protected] [email protected]

Jean Maruani Piotr Piecuch Laboratoire de Chimie Physique Department of Chemistry CNRS & UPMC Michigan State University 11 Rue Pierre et East Lansing, Michigan 48824 F-75005 Paris USA France [email protected] [email protected]

Gerardo Delgado-Barrio Instituto de F´ısica Fundamental CSIC Serrano 123 E-28006 Madrid Spain [email protected]

ISSN 1567-7354 ISBN 978-94-007-2075-6 e-ISBN 978-94-007-2076-3 DOI 10.1007/978-94-007-2076-3 Springer Dordrecht Heidelberg London New York

Library of Congress Control Number: 2011942474

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Springer is part of Springer Science+Business Media (www.springer.com) PTCP Aim and Scope

Progress in Theoretical Chemistry and Physics

A series reporting advances in theoretical molecular and material sciences, including theoretical, mathematical and , and chemical physics and biophysics.

Aim and Scope

Science progresses by a symbiotic interaction between theory and experiment: theory is used to interpret experimental results and may suggest new experiments; experiment helps to test theoretical predictions and may lead to improved theories. Theoretical Chemistry (including Physical Chemistry and Chemical Physics) pro- vides the conceptual and technical background and apparatus for the rationalisation of phenomena in the chemical sciences. It is, therefore, a wide ranging subject, reflecting the diversity of molecular and related species and processes arising in chemical systems. The book series Progress in Theoretical Chemistry and Physics aims to report advances in methods and applications in this extended domain. It will comprise monographs as well as collections of papers on particular themes, which may arise from proceedings of symposia or invited papers on specific topics as well as from authors’ initiatives or translations. The basic theories of physics – classical mechanics and electromagnetism, rela- tivity theory, , statistical mechanics, quantum electrodynamics – support the theoretical apparatus which is used in molecular sciences. Quantum mechanics plays a particular role in theoretical chemistry, providing the basis for the valence theories, which allow to interpret the structure of , and for the spectroscopic models employed in the determination of structural information from spectral patterns. Indeed, Quantum Chemistry often appears synonymous with Theoretical Chemistry: it will, therefore, constitute a major part of this book series. However, the scope of the series will also include other areas of theoretical

v vi PTCP Aim and Scope chemistry, such as mathematical chemistry (which involves the use of algebra and topology in the analysis of molecular structures and reactions); molecular mechanics, molecular dynamics and chemical thermodynamics, which play an important role in rationalizing the geometric and electronic structures of molecular assemblies and polymers, clusters and crystals; surface, interface, solvent and solid- state effects; excited-state dynamics, reactive collisions, and chemical reactions. Recent decades have seen the emergence of a novel approach to scientific research, based on the exploitation of fast electronic digital computers. Computation provides a method of investigation which transcends the traditional division between theory and experiment. Computer-assisted simulation and design may afford a solution to complex problems which would otherwise be intractable to theoretical analysis, and may also provide a viable alternative to difficult or costly labora- tory experiments. Though stemming from Theoretical Chemistry, Computational Chemistry is a field of research in its own right, which can help to test theoretical predictions and may also suggest improved theories. The field of theoretical molecular sciences ranges from fundamental physical questions relevant to the molecular concept, through the statics and dynamics of isolated molecules, aggregates and materials, molecular properties and interactions, and to the role of molecules in the biological sciences. Therefore, it involves the physical basis for geometric and , stales of aggregation, physical and chemical transformations, thermodynamic and kinetic properties, as well as unusual properties such as extreme flexibility or strong relativistic or quantum-field effects, extreme conditions such as intense radiation fields or interaction with the continuum, and the specificity of biochemical reactions. Theoretical Chemistry has an applied branch – a part of molecular engineering, which involves the investigation of structure–property relationships aiming at the design, synthesis and application of molecules and materials endowed with specific functions, now in demand in such areas as molecular electronics, drug design and genetic engineering. Relevant properties include conductivity (normal, semi- and supra-), magnetism (ferro- and ferri-), optoelectronic effects (involving nonlinear response), photochromism and photoreactivity, radiation and thermal resistance, molecular recognition and information processing, biological and pharmaceutical activities, as well as properties favouring self-assembling mechanisms and combi- nation properties needed in multifunctional systems. Progress in Theoretical Chemistry and Physics is made at different rates in these various research fields. The aim of this book series is to provide timely and in-depth coverage of selected topics and broad-ranging yet detailed analysis of contemporary theories and their applications. The series will be of primary interest to those whose research is directly concerned with the development and application of theoretical approaches in the chemical sciences. It will provide up-to-date reports on theoretical methods for the , thermodynamician or spectroscopist, the atomic, molecular or cluster physicist, and the biochemist or molecular biologist who wish to employ techniques developed in theoretical, mathematical and computational chemistry in their research programmes. It is also intended to provide the graduate student with a readily accessible documentation on various branches of theoretical chemistry, physical chemistry and chemical physics. Obituary – W.N. Lipscomb (1919–2011)

On 14 April, 2011, Nobel Laureate William Nunn Lipscomb Jr. passed away at Mount Auburn Hospital in Cambridge, Massachusetts. He died from pneumonia and complications from a fall he suffered several weeks earlier. Lipscomb was Abbott and James Lawrence Professor of Chemistry at Harvard University, Emeritus since 1990. Lipscomb was born on 9 December, 1919 in Cleveland, Ohio, but his family moved to Lexington, Kentucky, when he was one year old. His mother taught music and his father practiced medicine. They “stressed personal responsibility and self reliance”1 and created a home in which independence was encouraged. A chemistry kit that was offered him when he was 11 years old kindled Lipscomb’s interest in science. He “recalled creating ‘evil smells’ using hydrogen sulfide to drive his two sisters out of his room”2. But it was through a music scholarship (he was a classical clarinetist) that he entered the University of Kentucky, where he eventually earned a bachelor of science degree in chemistry in 1941. As a graduate student at the California Institute of Technology, Lipscomb was aproteg´ e´ of Nobel Laureate Linus C. Pauling, whose famous book The of the Chemical Bond was to revolutionize our understanding of chemistry. Lipscomb records1 that

Pauling’s course in The Nature of the Chemical Bond was worth attending every year, because each lecture was new... In 1946, Lipscomb gained a Ph.D. degree in chemistry from Caltech with a dissertation in four parts. The first two were entitled: Electron Diffraction Investiga- tions of Vanadium Tetrachloride, Dimethylketene Dimer, Tetrachloroethylene, and Trichloroethylene, and: The Crystal Structure of Methylammonium Chloride. Parts

1Process of Discovery (1977): an Autobiographical Sketch, in: Structures and Mechanisms: from Ashes to Enzymes, G.R. Eaton, D.C. Wiley and O. Jardetzky, ACS Symposium Series, American Chemical Society, Washington, DC (2002). 2The New York Times, 15 April, 2011.

vii viii Obituary – W.N. Lipscomb (1919–2011)

3 and 4 were classified work for W.W.II. His thesis ends with a set of propositions, the last of which display his sense of humor: (a) Research and study at the Institute have been unnecessarily hampered by the present policy of not heating the buildings on weekends. (b) Manure should not be used as a fertilizer on ground adjacent to the Campus Coffee Shop. Before eventually arriving at Harvard, Lipscomb taught at the University of Minnesota from 1946 to 1959. By 1948, he

had initiated a series of low temperature X-ray diffraction studies, first of small hydrogen bonded systems, residual entropy problems and small organic molecules [and] later ... [of] the boron hydrides B5H9,B4H10,B5H11,B6H10,B9H15, and many more related compounds in later years (50 structures of boron compounds by 1976). Lipscomb authored two books, both published by W.A. Benjamin Inc. (New York). The first (1963) was entitled Boron Hydrides. The second (1969), co-authored with G. Eaton, was on NMR Studies of Boron Hydrides and Related Compounds. He published over 650 scientific papers between 1942 and 2009. His citation for the in chemistry in 1976, “for his studies on the structure of boranes illuminating problems of chemical bonding”, echoes that of his mentor in 1954, “for his research into the nature of the chemical bond and its application to the elucidation of the structure of complex substances”. It is for his work on the structure of boron hydrides that Lipscomb is most widely known. The field of borane chemistry was establishedbyAlfredStock,whosummarized his work in his Baker Lectures3 at Cornell in 1932. As early as 1927, it had been recognized that there exist relatively simple compounds which defy classification within the Lewis-Langmuir-Sidgwick theory of chemical bonding4. A particularly outstanding anomaly is the simplest hydride of boron, which Stock’s pioneering 4 work established to be the dimer B2H6: The electronic formulation of the structure of the boron hydrides encounters a number of difficulties. The ordinary concepts of valence will not suffice to explain their structure; this is shown by the fact that in the simplest hydride, diborane B2H6, which has 2 × 3 + 6 = 12 electrons, as many bonds must be explained as are required for C2H6 which has two more (2×4+6 = 14) electrons available. Thus it is that any structural theory for these compounds requires new hypotheses. Diborane is said to be electron deficient, since it has only 12 valence electrons and appears to require 14 to form a stable species. After some years of uncertainty, the structure of diborane was definitively settled by the infrared studies of Price5 (in 1940–41, Stitt had produced infrared and

3A. Stock, Hydrides of Boron and Silicon, Cornell University Press (1933). 4G.N. Lewis, J. Am. Chem. Soc. 38, 762 (1916); I. Langmuir, J. Am. Chem. Soc. 41, 868, 1543 (1918); N.V. Sidgwick, The Electronic Theory of Valency, Oxford University Press (1927); L. Pauling, The Nature of the Chemical Bond, Cornell University Press (1939). 5W.C. Price, J. Chem. Phys. 15, 614 (1947); ibid. 16, 894 (1948). Obituary – W.N. Lipscomb (1919–2011) ix thermodynamic evidence for the bridge structure of diborane6) and the electron- diffraction study of Hedberg and Schomaker7. The bridging structure of the diborane bonding was confirmed by Shoolery8 from the 11B NMR spectrum. The invariance of the single-determinant closed-shell molecular orbital wave function under a unitary transformation of the occupied orbitals was exploited by Longuet-Higgins9 to show that for a minimal basis set the molecular orbitals involved in the B-H-B bridge could be localized to form two three-centre two- electron bonds. Lipscomb, W. H. Eberhardt and B. L. Crawford10 demonstrated how this simple procedure could be extended to higher boron hydrides. Noticing the similarity of bonding in B2H6 and in the bridge regions of B4H10,B5H9,B5H11, 11 and B10H14 led Lipscomb to write : These ideas suggest that ... the hybridization about boron in many of these higher hydrides is not greatly different from the hybridization in diborane. In addition, the probable reason for the predominance of boron triangles is the concentration of bonding electron density more or less towards the center of the triangle, so that the bridge orbitals (π-orbitals in B2H6)of the three boron atoms ... overlap. It does seem very likely ... that the outer orbitals of an atom are not always directed toward the atom to which it is bonded. This property is to be expected for atoms which are just starting to fill new levels and therefore may be a general property of metals and intermetallic compounds. In the early 1960s, Edmiston and Ruedenberg12 placed the localization of molecular orbitals on a somewhat more objective foundation by transforming to that basis in which interorbital exchange is a minimum. Lipscomb and coworkers13 found that when applied to diborane this approach indeed leads to localized three- centre bonds for the B-H-B bridge. Lipscomb recalls1 how the localization of molecular orbitals

... produced a vivid connection between the highly delocalized symmetry molecular orbitals and the localized bonds in which believe so strongly. He also records1:

One disappointment was that the National Science Foundation refused to support the work started by J. Gerratt and me on spin-coupled wave functions. Gerratt and Lipscomb introduced spin-coupled wave functions in 196814.The energy expression for spin-coupled wave functions

6F. Stitt, J. Chem. Phys. 8, 981 (1940); ibid. 9, 780 (1941). 7K. Hedberg and V. Schomaker, J. Am. Chem. Soc. 73, 1482 (1951). 8J. Shoolery, Discuss. Faraday Soc. 19, 215 (1955). 9H.C. Longuet-Higgins and R.P. Bell, J. Chem. Soc. 250 (1943); H.C. Longuet-Higgins, J. Chim. Phys. 46, 275 (1949); Rev. Chem. Soc. 11, 121 (1957). 10W.H. Eberhardt, B. Crawford and W.N. Lipscomb, J. Chem. Phys. 22, 989 (1954). 11W.N. Lipscomb, J. Chem. Phys. 22, 985 (1954). 12C. Edmiston and K. Ruedenberg, Rev. Mod. Phys. 35, 457 (1963); J. Chem. Phys. 43, 597 (1965). 13E. Switkes, R.M. Stevens, W.N. Lipscomb and M.D. Newton, J. Chem. Phys. 51, 2085 (1969). 14J. Gerratt and W.N. Lipscomb, Proc. Natl. Acad. Sci. U.S. 59, 332 (1968). x Obituary – W.N. Lipscomb (1919–2011)

... does not assume any orthogonality whatsoever among the orbitals and, depending upon which kinds of restrictions are placed upon [them], ... may be made to reduce to the energy expression for any of the orbital-type wave functions commonly used. Thus, if one specifies the [orbitals] to be atomic orbitals, then [the energy expression] is the general valence- bond energy. Other commonly used approximations ... may be embraced by imposing ... orthogonality restrictions ... The theory of spin-coupled wave functions was developed by Gerratt et al.15 and applied to a wide range of molecular systems including diborane16. Lipscomb also studied the structure and function of large biomolecules. He wrote1:

My interest in biochemistry goes back to my perusal of medical books in my father’s library and to the influence of Linus Pauling from 1942 on .... He used X-ray diffraction methods to determine the three-dimensional structure of proteins and then analyzed their function. Among the proteins studied by Lipscomb and coworkers were carboxypeptidase A17, a digestive enzyme, and aspartate carbamoyltransferase18, an enzyme from E. coli. Lipscomb was invited to a large number of scientific conferences. In 1986 he chaired the Honorary Committee of the Congress Molecules in Physics, Chemistry, and Biology organized by Jean Maruani and Imre Czismadia in Paris, and in 2002 the Fourth International Congress of Theoretical Chemical Physics (ICTCP-IV) organized by Jean Maruani and Roland Lefebvre in Marly-le-Roi. He enthusiasti- cally supported the foundation of this bookseries: Progress in Theoretical Chemistry and Physics, for which he has been an Honorary Editor from the very beginning. Editor-in-Chief Jean Maruani remembers he could always get his cheerful and friendly voice on the phone when he needed him. will be remembered as a scientist, an educator (three of his students received the Nobel Prize), and an inspiration to all. He is survived by his wife, Jean Evans, and three children – including two from an earlier marriage, as well as by three grandchildren and four great-grandchildren.

Stephen Wilson Editor-in-Chief of Progress in Theoretical Chemistry and Physics

15J. Gerratt, Adv. At. Mol. Phys. 7, 141 (1971); J. Gerratt, D.L. Cooper, M. Raimondi and P.B. Karadakov, in: Handbook of Molecular Physics and Quantum Chemistry, vol. 2, ed. S. Wilson, P.F. Bernath and R. McWeeny, Wiley (2003). 16S. Wilson and J. Gerratt, Molec. Phys. 30, 765 (1975). 17W.N. Lipscomb, J.A. Hartsuck, G.N. Reeke, Jr., F.A. Quiocho, P.H. Bethge, M.L. Ludwig, T.A. Steitz, H. Muirhead, J.C. Coppola, Brookhaven Symp. Biol. 21, 24 (1968). 18R.B. Honzatko, J.L. Crawford, H.L. Monaco, J.E. Ladner, B.F.P. Edwards, D.R. Evans, S.G. Warren, D.C. Wiley, R.C. Ladner, W.N. Lipscomb, J. Mol. Biol. 160, 219 (1983). Obituary – Matey Mateev (1940–2010)

On July 25, 2010, world-renowned Bulgarian scientist, professor and academician Matey Dragomirov Mateev died in a car accident. Late on Sunday afternoon, on the way back to Sofia from his country house, at the foot of Stara Planina Mountain, he lost control of his vehicle and crashed against a tree. His wife Rumiana, sitting on the passenger’s seat, died instantly, while Mateev died on the way to the hospital. Matey Mateev was one of the most prominent Bulgarian physicists, with signi- ficant achievements in the fields of theoretical, mathematical, and . He was also known for his ethical and moral values and service to his community. In Bulgarian circles he was called ‘the noble man of science’. His relatives were former Sofia physicians, intellectuals and public figures. His father, Pr. Dragomir Mateev, was also a prominent scientist as well as the Director of the Institute of Physiology of the Bulgarian Academy of Sciences, and for many years the Rector of the Higher Institute for Physical Culture (presently National Sports Academy Vassil Levski). Matey Mateev had a son living in Sofia and a daughter in Barcelona. His tragic death came a few days after the happiest moment in his life: on July 22, his daughter gave birth to a girl – and his wife was planning to travel from Sofia to Barcelona to see her granddaughter, on July 29. As a tragic coincidence, the funeral service was held on July 29, in the church St. Sofia – an annex to the cathedral Alexander Nevski. Hundreds of people came to pay their respects to Matey Mateev and his wife: relatives, friends, colleagues, public figures in the arts and in the media, members of parliament. Bulgarian pre- sident Georgi Purvanov sent a letter of condolences to his family, reading: “I was very grieved to learn about the unexpected death of the outstanding Bulgarian sci- entist and public figure Matey Mateev. We lost one of our prominent physicists, an internationally recognized authority, a loved lecturer, and a reputable leader in our system of science and education”. Academician Matey Mateev had an beautiful career. Born on April 10, 1940 in Sofia, he graduated in 1963 from the Faculty of Physics at University St. Kliment Ohridski, majoring in nuclear physics. Right after his graduation, he began working as a physicist and later as an assistant professor at the same faculty. In 1967 he won

xi xii Obituary – Matey Mateev (1940–2010) a one-year scholarship to the newly-established International Centre for Theoretical Physics in Trieste, Italy. He came back to Bulgaria and, soon afterwards, left again to the Joint Institute of Nuclear Physics, where he worked at the Laboratory of Theoretical Physics from 1971 to 1980, where he defended his Ph.D. dissertation. He came back to Bulgaria to work as an associate professor and, starting 1984, a full professor at the Faculty of Physics of Sofia University. In 1996 he was appointed Head of the Department of Theoretical Physics. During his career he has also been Dean of the Faculty of Physics and Vice-Rector of Sofia University. Matey Mateev was loved by his students in physics and, from 1980 onwards, he lead one of the most attended courses at the Faculty of Physics. A generation of physicists has matured under his supervision and leadership. He authored over 100 major scientific publications in hot topics in physics. Matey Mateev was elected a member of the Bulgarian Academy of Sciences in the Physical Sciences in 2003. As President of the Union of Bulgarian Physicists for many years, he was a champion for the establishment of a National Foundation for Fundamental Research. He has also been a Chairman of the Expert Committee for Physics at the National Science Fund and a Vice-President of the Balkan Physics Union. Between 1997 and 2003 he was a Chairman of the Committee for Bulgaria’s Cooperation with the Joint Institute of Nuclear Physics. In 1999 Matey Mateev became a member of the European Center for Nuclear Research (CERN) in Switzerland. Bulgaria’s active participation in CERN’s expe- rimental and theoretical research was one of his major services to science and to his country. He became a member of the Committee for Bulgaria’s Cooperation with CERN and of the Board of CERN, where he represented Bulgaria throughout the period 1999–2000 and was the team leader of Bulgarian scientists invited to work at the Large Hadron Collider on its activation in CERN. Matey Mateev has gone all the way up to the top of the scientific and adminis- trative ladder. Until the democratic changes that occurred in Bulgaria in 1989, he was the Chairman of the Science Committee at the Council of Ministers. In 1990 he was appointed Deputy Minister (and in 1991 Minister) of Public Education. He remained in office for three successive terms. It was under his guidance and super- vision that the Public Education Act was drawn up, as well as texts on education in Bulgaria’s Constitution, which were adopted by the National Assembly in 1991. Matey Mateev supported the organization of the Sixth European Workshop on Quantum Systems in Chemistry and Physics (QSCP-VI) in Sofia in 2001, by Alia Tadjer and Yavor Delchev, and the first award of the Promising Scientist Price of CMOA, which he attended at Boyana Palace (the Bulgarian President Residence), where the protocol of the ceremony was established. Matey Mateev was Editor-in-Chief of the Bulgarian Journal of Physics,mem- beroftheBoardofBalkan Physics Letters, and member of the Board of Progress in Theoretical Chemistry and Physics. In spite of his wide reputation and prestige, Matey Mateev remained a warm- hearted and broad-minded person. We will always remember him, not only for his Obituary – Matey Mateev (1940–2010) xiii achievements in research, education, science policy and public service, but also for his friendly attitude towards colleagues, his overall dedication, and his readiness to help in any situation. Rest in peace!

Rossen Pavlov Senior Scientist at INRNE Bulgarian Academy of Sciences

Preface

This volume collects 32 selected papers from the scientific contributions presented at the 15th International Workshop on Quantum Systems in Chemistry and Physics (QSCP-XV), which was organized by Philip E. Hoggan and held at Magdalene College, Cambridge, UK, from August 31st to September 5th, 2010. Participants at QSCP-XV discussed the state of the art, new trends, and the future of methods in molecular quantum mechanics, and their applications to a wide range of problems in chemistry, physics, and biology. Magdalene College was originally founded in 1428 as a hostel to house Bene- dictine monks coming to Cambridge to study law. Nowadays it houses around 350 undergraduate students and 150 graduate students reading towards Masters or Ph.D degrees in a diverse range of subjects. The College comprises a similarly diverse set of architectures from its medieval street frontage through to the modern Cripps Court – where the scientific sessions took place, which blends modern design with traditional materials. The QSCP-XV workshop followed traditions established at previous meetings: QSCP-I, organized by Roy McWeeny in 1996 at San Miniato (Pisa, Italy); QSCP-II, by Stephen Wilson in 1997 at Oxford (England); QSCP-III, by Alfonso Hernandez-Laguna in 1998 at Granada (Spain); QSCP-IV, by Jean Maruani in 1999 at Marly-le-Roi (Paris, France); QSCP-V, by Erkki Brandas¨ in 2000 at Uppsala (Sweden); QSCP-VI, by Alia Tadjer in 2001 at Sofia (Bulgaria); QSCP-VII, by Ivan Hubac in 2002 at Bratislava (Slovakia); QSCP-VIII, by Aristides Mavridis in 2003 at Spetses (Athens, Greece); QSCP-IX, by Jean-Pierre Julien in 2004 at Les Houches (France); QSCP-X, by Souad Lahmar in 2005 at Carthage (Tunisia); QSCP-XI, by Oleg Vasyutinskii in 2006 near St Petersburg (Russia); QSCP-XII, by Stephen Wilson in 2007 near Windsor (England); QSCP-XIII, by Piotr Piecuch in 2008 at East Lansing (Michigan, USA); QSCP-XIV, by Gerardo Delgado-Barrio in 2009 at El Escorial (Spain).

xv xvi Preface

Attendance of the Cambridge workshop was a record in the QSCP series: there were 138 scientists from 32 countries on all five continents. The lectures presented at QSCP-XV were grouped into the following seven areas in the field of Quantum Systems in Chemistry and Physics: 1. Concepts and Methods in Quantum Chemistry and Physics; 2. Molecular Structure, Dynamics, and ; 3. Atoms and Molecules in Strong Electric and Magnetic Fields; 4. Condensed Matter; Complexes and Clusters; Surfaces and Interfaces; 5. Molecular and Nano Materials and Electronics; 6. Reactive Collisions and Chemical Reactions; 7. Computational Chemistry, Physics, and Biology. There were sessions where plenary lectures were given, sessions accommodating parallel talks, and evening sessions with posters preceded by flash oral presentations. We are grateful to all plenary speakers and poster presenters for having made this QSCP-XV workshop a stimulating experience and success. The breadth and depth of the scientific topics discussed during QSCP-XV are reflected in the contents of this volume of proceedings in Progress in Theoretical Chemistry and Physics, which includes five sections: I. General: 1 paper; II. Methodologies: 10 papers; III. Structure: 8 papers; IV. Dynamics and Quantum Monte-Carlo: 6 papers; V. Reactivity and Functional Systems: 7 papers; The details of the Cambridge meeting, including the complete scientific program, can be obtained on request from [email protected]. In addition to the scientific program, the workshop had its fair share of other cultural activities. One afternoon was devoted to a visit of Cambridge Colleges, where the participants had a chance to learn about the structure of the University of Cambridge. There was a dinner preceded by a tremendous organ concert in the College Chapel. The award ceremony of the CMOA Prize and Medal took place in Cripps Lecture Hall. The Prize was shared between three of the selected nominees: Angela Wilson (Denton, TX, USA), Julien Toulouse (Paris, France) and Robert Vianello (Zagreb, Croatia), while two other nominees (Ioannis Kerkines – Athens, Greece – and Jeremie Caillat – Paris, France) received a certificate of nomination. The CMOA Medal was then awarded to Pr Nimrod Moiseyev (Haifa, Israel). Following an established tradition of QSCP meetings, the venue and period of the next QSCP workshop was disclosed at the end of the banquet that followed: Kanazawa, Japan, shortly after the ISTCP-VII congress scheduled in Tokyo, Japan, in September, 2011. We are pleased to acknowledge the support given to QSCP-XV by Trinity College (Gold sponsor), Q-Chem (Silver sponsor) and the RSC (Bronze sponsor) at Cambridge. The workshop was chaired by Pr Stephen Elliott (Cambridge, UK) and cochaired by Pr Philip E. Hoggan (Clermont, France). We are most grateful Preface xvii to all members of the Local Organizing Committee (LOC) for their work and dedication. We are especially grateful to Marie-Bernadette Lepetit (Caen, France) for her efficiency in handling the web site, and to Jeremy Rawson, Alex Thom, Aron Cohen, Daniel Cole, Neil Drummond, Alston Misquitta (Cambridge, UK), and Joelle¨ Hoggan, who made the stay and work of the participants pleasant and fruitful. Finally, we would like to thank the Honorary Chairs and members of the International Scientific Committee (ISC) for their invaluable expertise and advice. We hope the readers will find as much interest in consulting these proceedings as the participants in attending the workshop.

The Editors

Contents

Part I Fundamental Theory

1 Time Asymmetry and the Evolution of Physical Laws ...... 3 Erkki J. Brandas¨

Part II Model Atoms

2 Spatially-Dependent-Mass Schrodinger¨ Equations with Morse Oscillator Eigenvalues: Isospectral Potentials and Factorization Operators ...... 37 G. Ovando, J.J. Pena,˜ and J. Morales 3 Relativistic Theory of Cooperative Muon – γ-Nuclear Processes: Negative Muon Capture and Metastable Nucleus Discharge ...... 51 Alexander V. Glushkov, Olga Yu. Khetselius, and Andrey A. Svinarenko

Part III Atoms and Molecules with Exponential-Type Orbitals

4 Two-Range Addition Theorem for Coulomb Sturmians ...... 71 Daniel H. Gebremedhin and Charles A. Weatherford 5 Why Specific ETOs are Advantageous for NMR and Molecular Interactions...... 83 Philip E. Hoggan and Ahmed Bouferguene` 6 Progress in Hylleraas-CI Calculations on Boron...... 103 Mar´ıa Belen´ Ruiz 7 Structural and Electronic Properties of Po under Hydrostatic Pressure ...... 119 A. Rubio-Ponce, J. Morales, and D. Olgu´ın

xix xx Contents

8 Complexity Analysis of the Hydrogenic Spectrum in Strong Fields ...... 129 R. Gonzalez-F´ erez,´ J.S. Dehesa, and K.D. Sen

Part IV Density-Oriented Methods

9 Atomic Density Functions: Atomic Physics Calculations Analyzed with Methods from Quantum Chemistry ...... 139 Alex Borgoo, Michel R. Godefroid, and Paul Geerlings 10 Understanding Maximum Probability Domains with Simple Models...... 173 Osvaldo Mafra Lopes Jr., Benoˆıt Bra¨ıda, Mauro Causa,` and Andreas Savin 11 Density Scaling for Excited States ...... 185 A.´ Nagy 12 Finite Element Method in Density Functional Theory Electronic Structure Calculations ...... 199 Jirˇ´ı Vacka´r,ˇ Ondrejˇ Certˇ ´ık, Robert Cimrman, Matya´sNovˇ ak,´ Ondrejˇ Sipr,ˇ and Jirˇ´ıPlesekˇ 13 Shifts in Excitation Energies Induced by Hydrogen Bonding: A Comparison of the Embedding and Supermolecular Time-Dependent Density Functional Theory Calculations with the Equation-of-Motion Coupled-Cluster Results ...... 219 Georgios Fradelos, Jesse J. Lutz, Tomasz A. Wesołowski, Piotr Piecuch, and Marta Włoch 14 Multiparticle Distribution of Fermi Gas System in Any Dimension ...... 249 Shigenori Tanaka

Part V Dynamics and Quantum Monte-Carlo Methodology

15 Hierarchical Effective-Mode Approach for Extended Molecular Systems...... 269 Rocco Martinazzo, Keith H. Hughes, and Irene Burghardt 16 Short-Time Dynamics Through Conical Intersections in Macrosystems: Quadratic Coupling Extension ...... 285 Gabor´ J. Halasz,´ Attila Papp, Etienne Gindensperger, Horst Koppel,¨ and Agnes´ Vibok´ 17 Theoretical Methods for Nonadiabatic Dynamics “on the fly” in Complex Systems and its Control by Laser Fields ...... 299 Roland Mitric,´ Jens Petersen, Ute Werner, and Vlasta Bonaciˇ c-Kouteck´´ y Contents xxi

18 A Survey on Reptation Quantum Monte Carlo ...... 327 Wai Kong Yuen and Stuart M. Rothstein 19 Quantum Monte Carlo Calculations of Electronic Excitation Ener- gies: The Case of the Singlet n→π∗ (CO) Transition in Acrolein ..... 343 Julien Toulouse, Michel Caffarel, Peter Reinhardt, Philip E. Hoggan, and C.J. Umrigar

Part VI Structure and Reactivity

20 Analysis of the Charge Transfer Mechanism in Ion- Collisions ...... 355 E. Rozsalyi,´ E. Bene, G.J. Halasz,´ A.´ Vibok,´ and M.C. Bacchus-Montabonel 21 Recombination by Electron Capture in the Interstellar Medium ..... 369 M.C. Bacchus-Montabonel and D. Talbi 22 Systematic Exploration of Chemical Structures and Reaction Pathways on the Quantum Chemical Potential Energy Surface by Means of the Anharmonic Downward Distortion Following Method ...... 381 Koichi Ohno and Yuto Osada 23 Neutral Hydrolysis of Methyl Formate from Ab initio Potentials and Molecular Dynamics Simulation...... 395 S. Tolosa Arroyo, A. Hidalgo Garcia, and J.A. Sanson´ Mart´ın 24 Radial Coupling and Adiabatic Correction for the LiRb Molecule ... 405 I. Jendoubi, H. Berriche, H. Ben Ouada, and F.X. Gadea

Part VII Complex Systems, Solids, Biophysics

25 Theoretical Studies on Metal-Containing Artificial DNA Bases...... 433 Toru Matsui, Hideaki Miyachi, and Yasuteru Shigeta 26 Systematic Derivation and Testing of AMBER Force Field Parameters for Fatty Ethers from Quantum Mechanical Calculations ...... 461 M. Velinova, Y. Tsoneva, Ph. Shushkov, A. Ivanova, and A. Tadjer 27 Anti-adiabatic State: Ground Electronic State of Superconductors .. 481 Pavol Banack´ˇ y 28 Centre-of-Mass Separation in Quantum Mechanics: Implications for the Many-Body Treatment in Quantum Chemistry and Solid State Physics ...... 511 Michal Svrcekˇ xxii Contents

29 Delocalization Effects in Pristine and Oxidized Graphene Substrates ...... 553 Dmitry Yu. Zubarev, Xiaoqing You, Michael Frenklach, and William A. Lester, Jr.

30 20-Nanogold Au20(Td) and Low-Energy Hollow Cages: Void Reactivity ...... 571 E.S. Kryachko and F. Remacle 31 A Theoretical Study of Complexes of Crown Ethers with Substituted Ammonium Cations ...... 599 Demeter Tzeli, Ioannis D. Petsalakis, and Giannoula Theodorakopoulos 32 A Review of Bonding in Dendrimers and Nano-Tubes ...... 611 M.A. Whitehead, Ashok Kakkar, Theo van de Ven, Rami Hourani, Elizabeth Ladd, Ye Tian, and Tom Lazzara

Index ...... 625