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Group Theory and its Application to Chemistry - Chemistry

Group Theory and its Application to Chemistry Introduction. To a fully understand the math behind group theory one needs to take a look at the theory portion of the... Vibrations. All molecules vibrate. While these vibrations can originate from several events, which will be covered... Symmetry.. The symmetry relationships in the molecular structure provide the basis for a mathematical theory, called group theory. The mathematics of group theory is predominantly algebra. Since all molecules are certain geometrical entities, the group theory dealing with such molecules is also called as the 'algebra of geometry' Point Groups I David M. Bishop; Group Theory and Chemistry Grouprequirements: 1. The combination of two elements must yield another element of the same group. 2. There must exist a neutral element, which leaves the elements of the group unchanged and commute with all other elements. 3. There must exists an inverse element which be combination wit Group theory is simply the study of. symmetry and its application to gain. information about the physical. properties of an object/molecule In. other words group theory is an art to. quantify b.

Group Theory (Theory) : Inorganic Chemistry Virtual Lab

  1. Lemma 1.2.1. If (G;) is a group and a2G, then aa= aimplies a= e. Proof. Suppose a2Gsatis es aa= aand let b2Gbe such that ba= e. Then b(aa) = baand thus a= ea= (ba) a= b(aa) = ba= e Lemma 1.2.2. In a group (G;) (i) if ba= e, then ab= eand (ii) ae= afor all a2G Furthermore, there is only one element e2Gsatisfying (ii) and for al
  2. Group theory Handwritten Notes Pdf These Group theory Handwritten Notes Pdf will help you to prepare different competitive exams like CSIR NET,GATE, PSUs and so on. These Topper's Class handwritten notes of Group theory Handwritten Notes Pdf will help you to understand all key concepts
  3. In addition to the fundamentals of (practical/applied) group theory, this course will explore how the tools of group theory enable powerful, general statements to be made about the behavior of chemical systems from the atomics scale to the macroscale, often without requiring detailed calculations or knowledge of most microscopic details
  4. The second edition of Group Theory for Chemists uses diagrams and problem-solving to help students test and improve their understanding, including a new section on the application of group theory to electronic spectroscopy. Part one covers the essentials of symmetry and group theory, including symmetry, point groups and representations
  5. 6 - Group theory and chemical bonding. Pages . 130-220. Select 7 - Group theory, molecular vibrations and electron transitions. Book chapter Full text access. 7 - Group theory, molecular vibrations and electron transitions. Pages . 221-247. Select 8 - Group theory and crystal symmetry. Book chapter Full text access. 8 - Group theory and crystal symmetry. Pages . 248-287. Select Appendix 1.
  6. e the symmetry. Also, symmetry operations and symmetry components are two fundamental and influential.

Introduction to group theory 1. GROUP THEORY TONY FRANCIS DEPARTMENT OF CHEMISTRY St. MARY'S COLLEGE, MANARKADU 2. Mathematical study of symmetry is called Group Theory • Symmetry Element- A symmetry element is a geometrical entity such as a point, a line or a plane about which a symmetry operation is performed. • Symmetry operation- A symmetry operation is a movement such as inversion about a point, rotation about a line or a reflection about a plane in order to get an. Atkins, de Paula & Friedman: Physical Chemistry: Quanta, Matter, and Change 2e Tables for group theory. Download the complete PDF file containing all of the essential tables (character tables, direct products, descent in symmetry and subgroups) required for those using group theory, together with general formulae, examples, and other relevant information Group Theory Applied to Chemistry Authors. Arnout Jozef Ceulemans; Series Title Theoretical Chemistry and Computational Modelling Copyright 2013 Publisher Springer Netherlands Copyright Holder Springer Nature B.V. Distribution Rights Distribution rights for India: Delhi Book Store, New Delhi, India eBook ISBN 978-94-007-6863-5 DOI 10.1007/978-94-007-6863-

Symmetry elements and operations|Group theory in chemistry|axis of Symmetry chemistry|Examples - YouTube. Symmetry elements and operations|Group theory in chemistry|axis of Symmetry chemistry. Finite group theory • In abstract algebra, a finite group is a mathematical group with a finite number of elements. • A group is a set of elements together with an operation which associates, to each ordered pair of elements, an element of the set.With a finite group, the set is finite. 7 Molecular Symmetry, Group Theory and Applications (57P) This note provides a systematic treatment of symmetry in chemical systems within the mathematical framework known as group theory. Topics covered includes: Symmetry operations and symmetry elements, Symmetry classification of molecules - point groups, Symmetry and physical properties, Combining symmetry operations: group multiplication. Chemical Applications of Group Theory | Cotton, F. Albert | ISBN: 9780471510949 | Kostenloser Versand für alle Bücher mit Versand und Verkauf duch Amazon. Chemical Applications of Group Theory: Amazon.de: Cotton, F. Albert: Fremdsprachige Büche I think that we have to integrate the mathematical approach to group theory with the Chemical-Physical approach, so that instead of rote use of formulas, understanding is involved. Read more. 18 people found this helpful. Helpful. Report abuse. Alexandre A. Souza. 5.0 out of 5 stars An Excellent Book on Group Theory for Chemistry. Reviewed in the United States on August 6, 2007. Verified.

Chemists are used to the operational definition of symmetry, which crystallographers introduced long before the advent of quantum mechanics. The ball-and-stick models of molecules naturally exhibit the symmetrical properties of macroscopic objects Group Theory Applied to Chemistry. Authors (view affiliations) Arnout Jozef Ceulemans; Textbook. 11 Citations; 22 Mentions; 469k Downloads; Part of the Theoretical Chemistry and Computational Modelling book series (TCCM) Buying options. eBook USD 59.99 Price excludes VAT. Instant PDF download ; Readable on all devices; Own it forever; Exclusive offer for individuals only; Buy eBook. Softcover.

(PDF) Group Theory and Its Applications in Chemistr

  1. Quantum Chemistry 12.0 - Symmetry and Group Theory Review - YouTube. Vrbo | MHH Pool Book Early | 30s | Combo. Watch later. Share. Copy link. Info. Shopping. Tap to unmute. If playback doesn't.
  2. The main purpose of this article is to present the fundamentals and to define clearly the basic terms of group theory to prepare the reader for more advanced study of the subject
  3. Symmetry and Group Theory in Chemistry : 25 Hrs Symmetry elements and symmetry operation, Group and Subgroup, Point group, Classification and representation of groups, The defining property of a group, Sub group and Class, Group multiplication table for C 2V, C 2h and C 3V point group, Generators and Cyclic groups. Similarity Transformation, Table of conjugates for C 2V, C 2h and C 3V point.
  4. Group Theory Applied to Chemistry. Authors (view affiliations) Arnout Jozef Ceulemans; Textbook. 11 Citations; 22 Mentions; 469k Downloads; Part of the Theoretical Chemistry and Computational Modelling book series (TCCM) Buying options. eBook USD 59.99 Price excludes VAT. Instant PDF download ; Readable on all devices; Own it forever; Exclusive offer for individuals only; Buy eBook. Softcover.
  5. Symmetry and Group Theory is a powerful theoretical tool to study and predict chemical bonding and spectral properties of molecules. It is only in last three decades that chemists are making use.
  6. Group Theory 4 - Applications in crystallography and solid state chemistry . 4.1 The relation between crystal structures and family trees . 4.2 Complex cases of phase transitions and topotactic reactions ©Holger Kohlmann, Leipzig University Topological and Symmetry-Broken Phases in Physics and Chemistry - Theoretical Basics and Phenomena Ranging from Crystals and Molecules to Majorana.

Group theory - Wikipedi

Groups can be found in geometry, representing phenomena such as symmetry and certain types of transformations. Group theory has applications in physics, chemistry, and computer science, and even puzzles like Rubik's Cube can be represented using group theory. This article was most recently revised and updated by Erik Gregersen, Senior Editor Concise, self-contained introduction to group theory and its applications to chemical problems. Symmetry, symmetry operations, point groups, matrices, matrix representations, equivalent and reducible representations, irreducible representations and character tables, representations and quantum mechanics, molecular vibrations, molecular orbital theory, hybrid orbitals, and transition metal. CHEMISTRY PAPER No.13 : Applications of group theory MODULE No.3 : Definition of group and its characteristics 6 unique inverse. Let inverse of integer n is n-1.Since the mode of combination is addition in this example the inverse of +n will -n as (n)+(-n)=0(identity)

For an introduction to group theory, I recommend Abstract Algebra by I. N. Herstein. This is a wonderful book with wonderful exercises (and if you are new to group theory, you should do lots of the exercises). If you have some familiarity with group theory and want a good reference book, I recommend Abstract Algebra by David S. Dummit and Richard M. Foote. 3. 1. Functions To understand the. Building on the foundation of the Second Edition, Symmetry and Structure: Readable Group Theory for Chemists, Third Edition turns the complex and potentially difficult subject of group theory into an accessible and readable account of this core area of chemistry. By using a diagrammatical approach and demonstrating the physical principles involved in understanding group theory, the text. In this monograph, group-theoretical approaches are used to build a system of hadrons and qualitatively describe the properties of chemical compounds. This serves as a complement to numerically and approximately solve the many-electron Schrödinger equation, in order to understand the behavior of chemical elements. Besides general theory, specific results are compared with experimentally. Group theoretical principles are an integral part of modern chemistry. This complete, self-contained study, written for advanced undergraduate-level and graduate-level chemistry students, clearly and concisely introduces the subject of group theory and demonstrates its applications to chemical problems Group Theory and Chemistry (Dover Books on Chemistry) David M. Bishop. 4.5 out of 5 stars 41. Paperback. $15.99. Physics from Symmetry (Undergraduate Lecture Notes in Physics) Jakob Schwichtenberg. 4.7 out of 5 stars 80. Hardcover. $43.12. Symmetry: An Introduction to Group Theory and Its Applications (Dover Books on Physics) Roy McWeeny. 4.5 out of 5 stars 32. Paperback. $13.79. The Theory of.

Molecular symmetry - Wikipedi

Additional Physical Format: Online version: Bishop, David M. Group theory and chemistry. Oxford, Clarendon Press, 1973 (OCoLC)644106571: Material Type Group theory chemistry ppt Symmetry and Group Theory The symmetry properties of molecules and how they can be used to predict vibrational spectra, hybridization, optical activity, etc.Point Groups Molecules are classified and grouped based on their symmetry. Molecules with similar symmetry are but into the same point group. A point group contains all objects that have the same symmetry.

Ihme Group: Research Group of Prof

Group Theory and Quantum Mechanics (Dover Books on Chemistry) | Tinkham, Michael | ISBN: 0800759432479 | Kostenloser Versand für alle Bücher mit Versand und Verkauf duch Amazon

Group theory Handwritten Notes Pdf ChemistryABC

Finally, a group theory book that explains how to calculate character tables! I've been going through a ton of group theory books lately and this seems to be the most comprehensive of them. All you need is a solid math background, but I know almost no chemistry and got through this book just fine Theoretical Chemistry The Theory Research Interest Group focuses on the development and application of theoretical and computational chemistry techniques. The group is highly interdisciplinary and collaborative, and is deeply engaged with the multi-department Lennard-Jones Centre for Computational Materials Science. Our aim is to advance fundamental understanding an MCQs of Group Theory Let's begin with some most important MCs of Group Theory. 1. This is an abelian group { - 3 n : n ε Z } under? A. division B. subtraction C. addition D. multiplication 2 Beginning Group Theory for Chemistry (Workbooks in Chemistry) von Walton, Paul H. beim ZVAB.com - ISBN 10: 019855964X - ISBN 13: 9780198559641 - OUP Oxford - 1998 - Softcove This book, divided into two parts, now in its second edition, presents the basic principles of group theory and their applications in chemical theories. While retaining the thorough coverage of the previous edition, the book in Part I, discusses the symmetry elements, point groups and construction of character tables for different point groups

AS.040.456: Chemical Applications of Group Theor

Tests for Amino group; The Theory What is Organic Chemistry? Organic chemistry is the branch of chemistry that deals with the structure, properties and reactions of compounds that contain carbon. The objects of study in organic chemistry include hydrocarbon, compounds containing carbon and hydrogen and the compositions based on carbon but containing other elements. Organic compound form the. Solutions Manual This page contains the solutions for the end-of-chapter problems given in Prof. Robert Carter's book, Molecular Symmetry and Group Theory Introduction to the Chemical Applications of Group Theory Page 2 Acknowledgments and Web Resources These lecture notes have been derived from several sources including Group Theory and Chemistry by David M. Bishop (ISBN-13: 978--486-67355-4) and Chemical Applications of Group Theory by F. Albert Cotton (ISBN-10: -471-17570-6). Pictures of Molecular orbitals were obtained from internet.

In chemistry group theory is used to describe symmetries of crystal and molecular structures. This is then important in understanding the physical and spectroscopic properties of materials, for example. Probably, group theory is the most powerful branch of mathematics when it comes to quantum chemistry, spectroscopy and condensed matter physics Font Family. Proportional Sans-Serif Monospace Sans-Serif Proportional Serif Monospace Serif Casual Script Small Caps. Reset restore all settings to the default values. Done. Close Modal Dialog. End of dialog window. YouTube. Chemical Applications of Symmetry and Group Theory. 2.37K subscribers

Group theory is often used in mathematics as a starting point for the study of many algebraic structures, such as a set of numbers along with its addition and multiplication. Because group theory is also useful for studying symmetry in nature and abstract systems, it has many applications in physics and chemistry Group Theory and Chemistry. David M. Bishop. Dover, 1993. 0 Reviews. What people are saying - Write a review. We haven't found any reviews in the usual places. Other editions - View all. Group Theory and Chemistry David M. Bishop Limited preview - 2012. Group Theory and Chemistry David M. Bishop Limited preview - 1993. Group Theory and Chemistry David M. Bishop Limited preview - 1993. View all.

Group Theory for Chemists ScienceDirec

CHM023L - B06 Final Report Group 3 Experiment 2 (Chemical

Atomic Structure, Symmetry & Group Theory (Fan, Dandan) Bonding and Molecular Orbital Theory (Kelsey) Description: This course is intended primarily as an introduction to inorganic chemistry for undergraduate students. Topics covered will include: atomic structures, periodic trends, symmetry and group theory, inorganic solids, molecular orbital theory, molecular structure, acid-base chemistry. Notes on Group Theory. This note covers the following topics: Notation for sets and functions, Basic group theory, The Symmetric Group, Group actions, Linear groups, Affine Groups, Projective Groups, Finite linear groups, Abelian Groups, Sylow Theorems and Applications, Solvable and nilpotent groups, p-groups, a second look, Presentations of Groups, Building new groups from old Chemistry and Biochemistry; NOC:Symmetry and Group Theory (Video) Syllabus; Co-ordinated by : IIT Bombay; Available from : 2018-05-02. Lec : 1; Modules / Lectures. Week 1 . Lecture 1 : Symmetry point group: Introduction; Lecture 2 : Symmetry point group: Examples Part I; Lecture 3 : Symmetry point group: Examples Part II; Lecture 4 : Symmetry point group: Examples Part III; Lecture 5. Max Planck Societ Group Theory in Chemistry and Spectroscopy: A Simple Geared toward chemists and experimental physicists, this handbook is also accessible to undergraduate students. It introduces fundamental concepts with simple examples, relating them to specific chemical and physical problems.Rather than providing proofs, the focus remains on the principal conclusions, their.

Symmetry and Group Theory in Chemistry ScienceDirec

HVPKAMWNT8XU » Kindle » Group Theory and its Applications in Chemistry, 2nd ed. Read Book GROUP THEORY AND ITS APPLICATIONS IN CHEMISTRY, 2ND ED. Softcover. Condition: New. 2nd edition. Brand NEW, Paperback International Edition. Black & White or color, Cover and ISBN same with similar contents as US editions. Standard delivery takes 5-9 business days by USPS/DHL with tracking number. Choose. Theoretical Chemistry is an exciting, contemporary and broad field: rooted in chemistry, it straddles the vibrant interfaces between chemistry, physics, materials science and biology, and encompasses any application of mathematical and computational techniques to problems and systems of chemical and related interest. The research interests of the Oxford Theory Group include: Quantum condensed. Assigning Spectra: This is an interactive tutorial, designed to help you understand the role of group theory in assigning infra-red and Raman spectra. To use this interactive site, you must have the Macromedia Flash Player

Group theory (PDF) Chapter 06 Techniques of approximation (PDF) Chapter 07 Atomic spectra and atomic structure (PDF) Chapter 08 An introduction to molecular structure (PDF) Chapter 09 Computational chemistry (PDF) Chapter 10 Molecular rotations and vibrations (PDF) Chapter 11 Molecular electronic transitions (PDF) Chapter 12 The electric properties of molecules (PDF) Chapter 13 The magnetic. Theoretical Chemistry Group Heidelberg. Ab initio Greens function theory is a major research area of our group. The figure shows some Feynman diagrams for the polarisation propagator in third order. See, for example, Ref.4 of our list of selected references {Living book of physical chemistry} has some impressive graphics and Maple-assisted exercises on symmetry, kinetic theory, partition functions, group theory, but is a bit short on explanatory material. Introduction to Quantum Chemistry - Audio feeds of a series of 31 lectures by Michelle Franci of Bryn Mawr College, available for free on iTunes

into group theory as quickly as possible. Prerequisites for this paper are the standard undergraduate mathematics for scientists and engineers: vector calculus, di erential equations, and basic matrix algebra. Simplicity and working knowledge are emphasized here over mathemat-ical completeness. As a result, proofs are very often sketched or omitted in favor of examples and discussion. Readers. Group Theory: A key branch of Chemistry. The systematic discussion or mathematical study of symmetry is called Group theory. This theory gives a simple and direct method for arriving at useful conclusions with minimum calculations about the geometry and electronic structure of molecules. Pericyclic reactions are mainly based on group theory * A concise, gentle introduction to symmetry and group theory * Takes a programmed learning approach * New material on projection operators, and the calcultaion of normal modes of vibration and normalised wave functions of orbitals This book is suitable for all students of chemistry taking a first course in symmetry and group theory Chemical Applications of Group Theory. Symmetry operations and symmetry elements, Concepts and properties of a group, group multiplication Tables, Similarity transformation, Class, Determination of symmetry point group of molecules, Matrix representation of groups, reducible and irreducible representations, Great orthogonality theorem.

What is Group Theory? Properties(Axioms) and Applications

Group theory in chemistry (Undergraduate) Molecular Spectroscopy (Masters) Statistical Thermodynamics (Graduate) Curriculum Development. I have developed from scratch CHEM 8552, Advanced Quantum Chemistry II: Electronic Structure Theory. I have designed electronic presentation and course notes for CHEM 4502 now used by students and other instructors. Advising and Mentoring. Advisor to 36. Group Theory Explore groups through symmetries, applications, and problems. This course explores group theory at the university level, but is uniquely motivated through symmetries, applications, and challenging problems. For example, before diving into the technical axioms, we'll explore their motivation through geometric symmetries. You'll be left with a deep understanding of how group theory. Then, Chemical Applications of Group Theory illustrates how these principles are applied in a variety of chemical theories such as the molecular orbital (M.O.) theory of organic molecules -- including Woodward-Hoffmann rules; the M.O. theory of inorganic molecules and complexes, including hybridization, M-M multiple bonds, and electron counting in cluster compounds; ligand field theory. This is the 2nd of the 8 Courses I intend to offer in Group Theory and Chemistry and this is the continuation of the course Group Theory and Chemistry 1. The concepts like Multiplication of operations and Commuting operators which are needed to understand and appreciate the Group Postulates is discussed in detail with lots of illustrations and practice exercises. The effects of the various.

Chemical Applications of Group Theory, Third Edition is the only up-to-date book on this topic written expressly for chemists. Comprehensive in scope, it covers the entire subject, from its mathematical foundations to every current application, including crystallography. Beginning with a thorough presentation of the rigorous mathematical basis. CHEMISTRY 673 Intro. to Symmetry and Group Theory in Chemistry 1 Tim Hughbanks ★B.S. in Chemistry, U. of Washington, 1977 ★Ph.D., Cornell, 1983 ★Faculty member at TAMU since 1987 ★Office: Chemistry Building, Room 330 ★Office phone: 845-0215 ★Office Hrs: T, Th. 9:15 - 10:30 AM • Other times are OK too! ★e-mail: trh@chem.tamu.edu 2. Group theory, or the use of mathematics to describe the symmetry of a molecule, provides a method to predict the number of IR active C-O vibrational modes within a molecule. Experimentally observing the number of C-O stretches in the IR is a direct method to establish the geometry and structure of the metal carbonyl complex. In this video, we will synthesize the molybdenum carbonyl complex Mo.

Introduction to group theory - SlideShar

The symmetries of the normal modes can be classified by group theory. (In this project we won't go into how this is done). As an example, water has a symmetrical bent structure of C 2v symmetry. It has three atoms and three normal modes of vibration (3*3 - 6 = 3) Point Groups, Character Tables and associated references. Atkins, Child, & Phillips: Tables for Group Theory 2. The Groups Cn (n = 2, 38) C2 (2) A Group theory has been successfully applied to many chemical problems. Students and teachers of chemical sciences have an invisible fear from this subject due to the difficulty with the mathematical jugglery. An active sixth dimension is required to understand the concept as well as to apply it to solve the problems of chemistry. This book avoids mathematical complications and presents group. Group Theory and Chemistry (Dover Books on Chemistry) Online bücher download Online-Bücher können aus dem Internet auf jedes tragbares Gerät wie Ihr E-Book-Reader, Tablet, Handy oder Laptop herunter geladen werden. Dies bedeutet, dass Sie einen Roman oder eine Zeitschrift überall hin mitnehmen können. Ein einzelnes Gerät kann Tausende von Pfund und das Beste, was speichern, wenn Sie ein.

Tables for group theory - Oxford University Pres

Group Theory Applied to Chemistry Arnout Jozef Ceulemans

Geared toward chemists and experimental physicists, this handbook is accessible to undergraduate students. It introduces fundamental concepts with simple examples, relating them to specific chemical and physical problems. The main results of group theory are presented in all sections as procedures, which assists in their systematic and step-by-step application. 1994 edition Hall, Group Theory and Symmetry in Chemistry Tinkhan, Group Theory and Quantum Mechanics Ballhausen, Introduction to Ligand Field Theory Orchin, Symmetry, Orbitals, and Spectra Wilson, Molecular Vibrations All students with documented disabilities, who need accommodations, should see the instructor privately to schedule an appointment as early in the quarter as possible. If your. Buy Group Theory and Quantum Mechanics (Dover Books on Chemistry) at Desertcart. FREE Delivery Across United Arab Emirates. FREE Returns. ProductId : 8905314

Chemistry tutorial (Class 11th, 12th): Chemistry is the branch of science concerned with elements and compounds composed of atoms, molecules, and ions: their composition, structure, properties, behavior, and the changes they undergo during a reaction with other substances Chemical Theory, (Bio-)Molecular Design and Synthesis offers a thorough education in the design and synthesis of organic molecules and polymers, in which medicinal chemistry, computational chemistry and structural analysis feature prominently. In addition, advanced courses in theoretical and quantum chemistry are provided Tsukerblat, Boris S. Group Theory in Chemistry and Spectroscopy: A Simple Guide to Advanced Usage. New York, NY: Dover Publications, 2006. ISBN: 9780486450353. Assignments. There are 5 problem sets: 4 graded and one optional. They are worth 10% of the final grade, and will be graded on a 0-3 grading scale, with 3 being the highest score. Exam Yusuf Hamied Department of Chemistry Lensfield Road Cambridge CB2 1EW T: +44 (0) 1223 336300 enquiries@ch.cam.ac.u We have combined group theory, chemistry and graph theory to provide a framework for topological quantum chemistry. We provide a complete description of the Wannier-Bloch duality between real.

This course on Chemistry of Main Group Elements focuses on the chemistry of s- and p-block elements, structure and bonding concepts and systematic understanding of their chemical reactivity. Organometallic chemistry of main group elements with special emphasis on their applications in organic synthesis is also included in the discussion Group Area. Notes on Quantum Chemistry. These notes on Quantum Chemistry were written by Professor David Sherrill as a resource for students at the college through post-graduate level interested in quantum mechanics and how it is used in chemistry. A Brief Review of Elementary Quantum Chemistry has been used by college students and curious high.

Symmetry elements and operationsGroup theory in chemistry

The Buchwald Research Group. Home. Professor Stephen L. Buchwald Camille Dreyfus Professor of Chemistry • Department of Chemistry During these difficult times, we reaffirm our fervent belief in and commitment to justice and opportunity for all. We strongly believe in the importance of diversity in the laboratory and classroom, as well as in society in general. Further, we feel that it is.

Hard-Soft Acid-Base Theory - Presentation ChemistryNAnostructures and FUnctional MAterials (NAFUMAUsing Lewis symbols show the sharing of electrons between
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