The 17Th International Conference on Molecule-Based Magnets Online
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Cr7ni Wheels: Supramolecular Tectons for the Physical Implementation of Quantum Information Processing
magnetochemistry Review Cr7Ni Wheels: Supramolecular Tectons for the Physical Implementation of Quantum Information Processing Jesus Ferrando-Soria † School of Chemistry, University of Manchester, Oxford Road, Manchester M13 9PL, UK; [email protected]; Tel.: +34-963-544460 † Present address: Instituto de Ciencia Molecular (ICMol), Universitat de València, Paterna 46980, València, Spain. Academic Editor: Floriana Tuna Received: 11 August 2016; Accepted: 15 September 2016; Published: 21 September 2016 Abstract: The physical implementation of quantum information processing (QIP) is an emerging field that requires finding a suitable candidate as a quantum bit (qubit), the basic unit for quantum information, which can be organised in a scalable manner to implement quantum gates (QGs) capable of performing computational tasks. Supramolecular chemistry offers a wide range of chemical tools to bring together, with great control, different molecular building blocks in order to grow supramolecular assemblies that have the potential to achieve the current milestones in the field. In this review, we are particularly interested in the latest research developments on the supramolecular chemistry approach to QIP using {Cr7Ni} wheels as qubits for the physical implementation of QGs. Special emphasis will be given to the unique high degree of chemical tunability of this unique class of heterobimetallic octanuclear rings, which results in an attractive playground to generate aesthetically pleasing supramolecular assemblies of increasing structural complexity and interesting physical properties for quantum computing. Keywords: {Cr7Ni} heterobimetallic rings; quantum information processing; supramolecular chemistry; qubits; quantum gates 1. Introduction: Molecules as Qubits The physical implementation of quantum information processing (QIP) is currently a subject of intense research in chemistry, physics, materials science, and nanotechnology because of the thrilling potential technological applications that chemical and physical systems may exhibit in quantum computing [1–4]. -
N Ew Slet T Er
Electron paramagnetic resonance spectroscopy Now located in the PSI, the EPSRC National EPR Research Facility and Service is run by Profs David Collison and Eric McInnes from the School of Chemistry and has been established with £4.1M fund- ing from EPSRC, and £355K from the University of Manchester. The Facility accommodates several Bruker EPR in- struments, allowing c.w. and pulsed EPR measure- ments at frequencies between 1 (L-band) and 95 GHz (W-band), a Quantum Design magnetometer and an ODESSA instrument (built by Dr Nigel Poolton) The EPR Team from right to left: Prof Eric McInnes, Dr Stephen Sproules, Prof David Collison, Dr Floriana Tuna, that combines optically detected magnetic resonance Dr Brian Tolson, Miss Chloe Stott, Dr Nigel Poolton (absent) (ODMR) with photo-EPR (both 34 GHz; 0-4 T mag- Facilities: Frequency (GHz): 1, 4, 9.5, 24, 34, 94 net). Together these make a unique research base for Frequency Band: L-, S-, X-, K-, Q-, W- studying various types of paramagnetic species and Modes: Parallel and perpendicular at X-band materials. Temperature Range: 4.2 to 300 K all bands, to 500 K at X-band only Researchers across the country are using the Facility on a regular basis. PhD students and academics are For further details see the Facility website: encouraged to visit the Centre and to gain ―hands on‖ http://www.epr.chemistry.manchester.ac.uk/ experience. Newsletter Winter 2011/12 This newsletter consists of a combination of articles, highlighting both recent grant successes and those of a personal nature. Until further notice, items for future newsletters and/or the PSI website should be sent to [email protected]. -
1 Photo-Hall, Photorefractive and Photomagnetoelectric Effects In
Photo-Hall, photorefractive and photomagnetoelectric effects in tungsten bronzes and related tetragonal ferroelectrics I. Tekaya1, A. Tekaya1, B. Maximin2 1 Laboratoire de Physique de la Matière Condensée, Université de Picardie Jules Verne, 33 rue Saint-Leu, 80039 Amiens Cedex, France 2 Physique des Systèmes Complexes, Université de Picardie Jules Verne, 33 rue Saint-Leu, 80039 Amiens Cedex, France We present an extensive study of the electric, magnetic and elastic responses of tetragonal ferroelectrics under illumination, using a new theory intertwining material and wave symmetries. Optical rectification, photomagnetic, photovoltaic and phototoroidal vector responses are worked out as functions of the wave vector and wave polarization directions. Second-order response tensors associated with photoelastic, photomagnetoelectric, photorefractive effects and photoconductivity are described. We discuss in detail the photo-Hall and a new non-linear optical effect in tungsten bronzes. Finally, we compare the properties of tetragonal materials with those of hexagonal, orthorhombic and trigonal ferroelectrics previously reported in the literature. I. INTRODUCTION former permit to calculate the polarization, magnetization, toroidal moment and electric currents The family of tetragonal tungsten bronze (TTB) induced (or modified for the polarization in ferroelectric materials, evidenced since 1949 and intensively studied phases) under illumination. The latter predict the light- both as single crystals and as ceramics [1—7], exhibits induced elastic -
Decomposing Deltahedra
Decomposing Deltahedra Eva Knoll EK Design ([email protected]) Abstract Deltahedra are polyhedra with all equilateral triangular faces of the same size. We consider a class of we will call ‘regular’ deltahedra which possess the icosahedral rotational symmetry group and have either six or five triangles meeting at each vertex. Some, but not all of this class can be generated using operations of subdivision, stellation and truncation on the platonic solids. We develop a method of generating and classifying all deltahedra in this class using the idea of a generating vector on a triangular grid that is made into the net of the deltahedron. We observed and proved a geometric property of the length of these generating vectors and the surface area of the corresponding deltahedra. A consequence of this is that all deltahedra in our class have an integer multiple of 20 faces, starting with the icosahedron which has the minimum of 20 faces. Introduction The Japanese art of paper folding traditionally uses square or sometimes rectangular paper. The geometric styles such as modular Origami [4] reflect that paradigm in that the folds are determined by the geometry of the paper (the diagonals and bisectors of existing angles and lines). Using circular paper creates a completely different design structure. The fact that chords of radial length subdivide the circumference exactly 6 times allows the use of a 60 degree grid system [5]. This makes circular Origami a great tool to experiment with deltahedra (Deltahedra are polyhedra bound by equilateral triangles exclusively [3], [8]). After the barn-raising of an endo-pentakis icosi-dodecahedron (an 80 faced regular deltahedron) [Knoll & Morgan, 1999], an investigation of related deltahedra ensued. -
The 45Th Annual International Meeting of the ESR Spectroscopy Group of the Royal Society of Chemistry
The 45th Annual International Meeting of the ESR Spectroscopy Group of the Royal Society of Chemistry The University of Manchester 25th – 29th March 2012 Contents Conference Programme 3 Information for delegates 6 Getting there 6 Map of conference venue 9 University of Manchester campus map 10 Speaker/poster presenter information 11 Internet access 11 Car parking/taxis 11 Checking out and left luggage 11 Accompanying persons 12 Free afternoon 12 Manchester city centre map 13 Conference sponsors 14 EPR @ Manchester 15 Bruker prize lecture and reception 16 JEOL student prize lectures 17 Committee of the ESR spectroscopy Group of the RSC 18 Next meeting (2013) 19 Abstracts for Talks T1‐T48 Abstracts for Posters P1‐P31 Presenting Author Index R1‐R2 Title Index R3‐R6 List of participants R7‐R14 2 Conference Programme Sunday 25th March 16.00 – 18.30 Registration Chancellors Reception 18.30 – 20.00 Dinner Chancellors Carriage Restaurant RSC Wine Reception 20.00 – 22.30 Chancellors Conservatory and bar and free bar Monday 26th March 07.30 – 08.55 Breakfast Chancellors or Luther King House or Willowbank Hotel Session 1 Chair: David Collison 08.55 – 09.00 Mark Newton Conference opening and welcome note 09.00 – 09.30 Richard Winpenny Keynote Lecture: EPR Studies of Rings and Dimers of Rings Intercluster exchange interactions and spin state switching in 09.35 – 09.50 Irina Drozdyuk copper nitroxide based molecular magnets Cu(hfac)2LR studied by EPR Quantum operations by pulsed ESR spectroscopy: Molecular 09.55 – 10.10 Shigeaki Nakazawa design for -
Convex Polytopes and Tilings with Few Flag Orbits
Convex Polytopes and Tilings with Few Flag Orbits by Nicholas Matteo B.A. in Mathematics, Miami University M.A. in Mathematics, Miami University A dissertation submitted to The Faculty of the College of Science of Northeastern University in partial fulfillment of the requirements for the degree of Doctor of Philosophy April 14, 2015 Dissertation directed by Egon Schulte Professor of Mathematics Abstract of Dissertation The amount of symmetry possessed by a convex polytope, or a tiling by convex polytopes, is reflected by the number of orbits of its flags under the action of the Euclidean isometries preserving the polytope. The convex polytopes with only one flag orbit have been classified since the work of Schläfli in the 19th century. In this dissertation, convex polytopes with up to three flag orbits are classified. Two-orbit convex polytopes exist only in two or three dimensions, and the only ones whose combinatorial automorphism group is also two-orbit are the cuboctahedron, the icosidodecahedron, the rhombic dodecahedron, and the rhombic triacontahedron. Two-orbit face-to-face tilings by convex polytopes exist on E1, E2, and E3; the only ones which are also combinatorially two-orbit are the trihexagonal plane tiling, the rhombille plane tiling, the tetrahedral-octahedral honeycomb, and the rhombic dodecahedral honeycomb. Moreover, any combinatorially two-orbit convex polytope or tiling is isomorphic to one on the above list. Three-orbit convex polytopes exist in two through eight dimensions. There are infinitely many in three dimensions, including prisms over regular polygons, truncated Platonic solids, and their dual bipyramids and Kleetopes. There are infinitely many in four dimensions, comprising the rectified regular 4-polytopes, the p; p-duoprisms, the bitruncated 4-simplex, the bitruncated 24-cell, and their duals. -
![[ENTRY POLYHEDRA] Authors: Oliver Knill: December 2000 Source: Translated Into This Format from Data Given In](https://docslib.b-cdn.net/cover/6670/entry-polyhedra-authors-oliver-knill-december-2000-source-translated-into-this-format-from-data-given-in-1456670.webp)
[ENTRY POLYHEDRA] Authors: Oliver Knill: December 2000 Source: Translated Into This Format from Data Given In
ENTRY POLYHEDRA [ENTRY POLYHEDRA] Authors: Oliver Knill: December 2000 Source: Translated into this format from data given in http://netlib.bell-labs.com/netlib tetrahedron The [tetrahedron] is a polyhedron with 4 vertices and 4 faces. The dual polyhedron is called tetrahedron. cube The [cube] is a polyhedron with 8 vertices and 6 faces. The dual polyhedron is called octahedron. hexahedron The [hexahedron] is a polyhedron with 8 vertices and 6 faces. The dual polyhedron is called octahedron. octahedron The [octahedron] is a polyhedron with 6 vertices and 8 faces. The dual polyhedron is called cube. dodecahedron The [dodecahedron] is a polyhedron with 20 vertices and 12 faces. The dual polyhedron is called icosahedron. icosahedron The [icosahedron] is a polyhedron with 12 vertices and 20 faces. The dual polyhedron is called dodecahedron. small stellated dodecahedron The [small stellated dodecahedron] is a polyhedron with 12 vertices and 12 faces. The dual polyhedron is called great dodecahedron. great dodecahedron The [great dodecahedron] is a polyhedron with 12 vertices and 12 faces. The dual polyhedron is called small stellated dodecahedron. great stellated dodecahedron The [great stellated dodecahedron] is a polyhedron with 20 vertices and 12 faces. The dual polyhedron is called great icosahedron. great icosahedron The [great icosahedron] is a polyhedron with 12 vertices and 20 faces. The dual polyhedron is called great stellated dodecahedron. truncated tetrahedron The [truncated tetrahedron] is a polyhedron with 12 vertices and 8 faces. The dual polyhedron is called triakis tetrahedron. cuboctahedron The [cuboctahedron] is a polyhedron with 12 vertices and 14 faces. The dual polyhedron is called rhombic dodecahedron. -
The Gnomonic Projection
Gnomonic Projections onto Various Polyhedra By Brian Stonelake Table of Contents Abstract ................................................................................................................................................... 3 The Gnomonic Projection .................................................................................................................. 4 The Polyhedra ....................................................................................................................................... 5 The Icosahedron ............................................................................................................................................. 5 The Dodecahedron ......................................................................................................................................... 5 Pentakis Dodecahedron ............................................................................................................................... 5 Modified Pentakis Dodecahedron ............................................................................................................. 6 Equilateral Pentakis Dodecahedron ........................................................................................................ 6 Triakis Icosahedron ....................................................................................................................................... 6 Modified Triakis Icosahedron ................................................................................................................... -
Spectral Realizations of Graphs
SPECTRAL REALIZATIONS OF GRAPHS B. D. S. \DON" MCCONNELL 1. Introduction 2 The boundary of the regular hexagon in R and the vertex-and-edge skeleton of the regular tetrahe- 3 dron in R , as geometric realizations of the combinatorial 6-cycle and complete graph on 4 vertices, exhibit a significant property: Each automorphism of the graph induces a \rigid" isometry of the figure. We call such a figure harmonious.1 Figure 1. A pair of harmonious graph realizations (assuming the latter in 3D). Harmonious realizations can have considerable value as aids to the intuitive understanding of the graph's structure, but such realizations are generally elusive. This note explains and explores a proposition that provides a straightforward way to generate an entire family of harmonious realizations of any graph: A matrix whose rows form an orthogonal basis of an eigenspace of a graph's adjacency matrix has columns that serve as coordinate vectors of the vertices of an harmonious realization of the graph. This is a (projection of a) spectral realization. The hundreds of diagrams in Section 42 illustrate that spectral realizations of graphs with a high degree of symmetry can have great visual appeal. Or, not: they may exist in arbitrarily-high- dimensional spaces, or they may appear as an uninspiring jumble of points in one-dimensional space. In most cases, they collapse vertices and even edges into single points, and are therefore only very rarely faithful. Nevertheless, spectral realizations can often provide useful starting points for visualization efforts. (A basic Mathematica recipe for computing (projected) spectral realizations appears at the end of Section 3.) Not every harmonious realization of a graph is spectral. -
Marvelous Modular Origami
www.ATIBOOK.ir Marvelous Modular Origami www.ATIBOOK.ir Mukerji_book.indd 1 8/13/2010 4:44:46 PM Jasmine Dodecahedron 1 (top) and 3 (bottom). (See pages 50 and 54.) www.ATIBOOK.ir Mukerji_book.indd 2 8/13/2010 4:44:49 PM Marvelous Modular Origami Meenakshi Mukerji A K Peters, Ltd. Natick, Massachusetts www.ATIBOOK.ir Mukerji_book.indd 3 8/13/2010 4:44:49 PM Editorial, Sales, and Customer Service Office A K Peters, Ltd. 5 Commonwealth Road, Suite 2C Natick, MA 01760 www.akpeters.com Copyright © 2007 by A K Peters, Ltd. All rights reserved. No part of the material protected by this copyright notice may be reproduced or utilized in any form, electronic or mechanical, including photo- copying, recording, or by any information storage and retrieval system, without written permission from the copyright owner. Library of Congress Cataloging-in-Publication Data Mukerji, Meenakshi, 1962– Marvelous modular origami / Meenakshi Mukerji. p. cm. Includes bibliographical references. ISBN 978-1-56881-316-5 (alk. paper) 1. Origami. I. Title. TT870.M82 2007 736΄.982--dc22 2006052457 ISBN-10 1-56881-316-3 Cover Photographs Front cover: Poinsettia Floral Ball. Back cover: Poinsettia Floral Ball (top) and Cosmos Ball Variation (bottom). Printed in India 14 13 12 11 10 10 9 8 7 6 5 4 3 2 www.ATIBOOK.ir Mukerji_book.indd 4 8/13/2010 4:44:50 PM To all who inspired me and to my parents www.ATIBOOK.ir Mukerji_book.indd 5 8/13/2010 4:44:50 PM www.ATIBOOK.ir Contents Preface ix Acknowledgments x Photo Credits x Platonic & Archimedean Solids xi Origami Basics xii -
Curriculum Vitae
Curriculum vitae Andrei I. Kirilyuk Full professor (hoogleraar) Condensed Matter Physics, FELIX Laboratory Institute for Molecules and Materials home address: Radboud University Nijmegen Grote Loef 12 Toernooiveld 7c, 6525 ED Nijmegen 6581 JG Malden The Netherlands The Netherlands tel.: +31-(0)24-3653183 fax: +31-(0)24-3652190 e-mail: [email protected] Master's University/College of Higher Education: Moscow Institute for Physics and Technology and P.L.Kapitza Instutute for Physical Problems, Russian Federation Date (dd/mm/yy): 30/06/1988 Thesis title: Inelastic light scattering by a moving domain wall Doctorate University/College of Higher Education: Université Paris XI Orsay, France Supervisor (‘Promotor’): Dr. J. Ferré Date (dd/mm/yy): 4/05/1993 Title of thesis: Domain wall dynamics in magnetic media (Mouvement de parois de domaines dans des milieux magnétiques) received with a distinction “Très honorable avec félicitations du jury” Research activities and principal research achievments a) Research activities in the chronological order 1986 - 1991 P. Kapitza Institute for Physical Problems, Moscow. 2 years Master stage, afterwards PhD student Domain wall dynamics in yttrium orthoferrite observed by Doppler frequency-shifted light scattering and Brillouin technique; interaction of the domain wall with phonons at supersonic speeds. A novel concept of experimental setup was developed and brought to operation for such unusual experiments. 1992 - 1993 Laboratoire de Physique des Solides, Université Paris-Sud, Orsay, France PhD student; 1 fte, fixed term for 18 month Dynamics of magnetic domain walls in ultrathin magnetic films with perpendicular magnetic anisotropy: velocity, Walker breakdown, thermally-activated dynamics; developing models for the intermediate-range behavior. -
A Monometallic Lanthanide Bis(Methanediide) Single Molecule Magnet with a Large Energy Barrier Cite This: Chem
Chemical Science View Article Online EDGE ARTICLE View Journal | View Issue A monometallic lanthanide bis(methanediide) single molecule magnet with a large energy barrier Cite this: Chem. Sci.,2016,7,155 and complex spin relaxation behaviour† Matthew Gregson,‡a Nicholas F. Chilton,‡a Ana-Maria Ariciu,b Floriana Tuna,b Iain F. Crowe,c William Lewis,d Alexander J. Blake,d David Collison,a Eric J. L. McInnes,b Richard E. P. Winpenny*a and Stephen T. Liddle*a We report a dysprosium(III) bis(methanediide) single molecule magnet (SMM) where stabilisation of the highly magnetic states and suppression of mixing of opposite magnetic projections is imposed by a linear arrangement of negatively-charged donor atoms supported by weak neutral donors. Treatment TMS TMS TMS 2À TMS of [Ln(BIPM )(BIPM H)] [Ln ¼ Dy, 1Dy;Y,1Y; BIPM ¼ {C(PPh2NSiMe3)2} ; BIPM H ¼ À TMS {HC(PPh2NSiMe3)2} ] with benzyl potassium/18-crown-6 ether (18C6) in THF afforded [Ln(BIPM )2] [K(18C6)(THF)2] [Ln ¼ Dy, 2Dy;Y,2Y]. AC magnetic measurements of 2Dy in zero DC field show Creative Commons Attribution 3.0 Unported Licence. temperature- and frequency-dependent SMM behaviour. Orbach relaxation dominates at high temperature, but at lower temperatures a second-order Raman process dominates. Complex 2Dy exhibits two thermally activated energy barriers (Ueff) of 721 and 813 K, the largest Ueff values for any monometallic dysprosium(III) complex. Dilution experiments confirm the molecular origin of this phenomenon. Complex 2Dy has rich magnetic dynamics; field-cooled (FC)/zero-field cooled (ZFC) susceptibility measurements show a clear divergence at 16 K, meaning the magnetic observables are out-of-equilibrium below this temperature, however the maximum in ZFC, which conventionally defines the blocking temperature, TB, is found at 10 K.