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Applications of group theory to atoms, molecules, and solids / (Record no. 82352)

000 -LEADER
fixed length control field 07494nam a22004458i 4500
001 - CONTROL NUMBER
control field CR9781139236294
003 - CONTROL NUMBER IDENTIFIER
control field UkCbUP
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20230516164935.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m|||||o||d||||||||
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr||||||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120126s2014||||enk o ||1 0|eng|d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781139236294 (ebook)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781107028524 (hardback)
040 ## - CATALOGING SOURCE
Original cataloging agency UkCbUP
Language of cataloging eng
Description conventions rda
Transcribing agency UkCbUP
050 00 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QC176
Item number .W65 2014
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.4/1015122
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Wolfram, Thomas,
Dates associated with a name 1936-
Relator term author.
9 (RLIN) 68356
245 10 - TITLE STATEMENT
Title Applications of group theory to atoms, molecules, and solids /
Statement of responsibility, etc. Thomas Wolfram, Şinasi Ellialtioğlu.
246 3# - VARYING FORM OF TITLE
Title proper/short title Applications of Group Theory to Atoms, Molecules, & Solids
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Cambridge :
Name of producer, publisher, distributor, manufacturer Cambridge University Press,
Date of production, publication, distribution, manufacture, or copyright notice 2014.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (xii, 471 pages) :
Other physical details digital, PDF file(s).
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
500 ## - GENERAL NOTE
General note Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Machine generated contents note: 1. Introductory example: Squarene -- 1.1. In-plane molecular vibrations of squarene -- 1.2. Reducible and irreducible representations of a group -- 1.3. Eigenvalues and eigenvectors -- 1.4. Construction of the force-constant matrix from the eigenvalues -- 1.5. Optical properties -- References -- Exercises -- 2. Molecular vibrations of isotopically substituted KB2 molecules -- 2.1. Step 1: Identify the point group and its symmetry operations -- 2.2. Step 2: Specify the coordinate system and the basis functions -- 2.3. Step 3: Determine the effects of the symmetry operations on the basis functions -- 2.4. Step 4: Construct the matrix representations for each element of the group using the basis functions -- 2.5. Step 5: Determine the number and types of irreducible representations -- 2.6. Step 6: Analyze the information contained in the decompositions -- 2.7. Step 7: Generate the symmetry functions -- 2.8. Step 8: Diagonalize the matrix eigenvalue equation.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Contents note continued: 2.9. Constructing the force-constant matrix -- 2.10. Green's function theory of isotopic molecular vibrations -- 2.11. Results for isotopically substituted forms of H2O -- References -- Exercises -- 3. Spherical symmetry and the full rotation group -- 3.1. Hydrogen-like orbitals -- 3.2. Representations of the full rotation group -- 3.3. The character of a rotation -- 3.4. Decomposition of D(l) in a non-spherical environment -- 3.5. Direct-product groups and representations -- 3.6. General properties of direct-product groups and representations -- 3.7. Selection rules for matrix elements -- 3.8. General representations of the full rotation group -- References -- Exercises -- 4. Crystal-field theory -- 4.1. Splitting of d-orbital degeneracy by a crystal field -- 4.2. Multi-electron systems -- 4.3. Jahn---Teller effects -- References -- Exercises -- 5. Electron spin and angular momentum -- 5.1. Pauli spin matrices -- 5.2. Measurement of spin.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Contents note continued: 5.3. Irreducible representations of half-integer angular momentum -- 5.4. Multi-electron spin-orbital states -- 5.5. The L---S-coupling scheme -- 5.6. Generating angular-momentum eigenstates -- 5.7. Spin---orbit interaction -- 5.8. Crystal double groups -- 5.9. The Zeeman effect (weak-magnetic-field case) -- References -- Exercises -- 6. Molecular electronic structure: The LCAO model -- 6.1.N-electron systems -- 6.2. Empirical LCAO models -- 6.3. Parameterized LCAO models -- 6.4. An example: The electronic structure of squarene -- 6.5. The electronic structure of H2O -- References -- Exercises -- 7. Electronic states of diatomic molecules -- 7.1. Bonding and antibonding states: Symmetry functions -- 7.2. The "building-up" of molecular orbitals for diatomic molecules -- 7.3. Heteronuclear diatomic molecules -- Exercises -- 8. Transition-metal complexes -- 8.1. An octahedral complex -- 8.2.A tetrahedral complex -- References -- Exercises.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Contents note continued: 9. Space groups and crystalline solids -- 9.1. Definitions -- 9.2. Space groups -- 9.3. The reciprocal lattice -- 9.4. Brillouin zones -- 9.5. Bloch waves and symmorphic groups -- 9.6. Point-group symmetry of Bloch waves -- 9.7. The space group of the k-vector, gsk -- 9.8. Irreducible representations of gsk -- 9.9.Compatibility of the irreducible representations of gk -- 9.10. Energy bands in the plane-wave approximation -- References -- Exercises -- 10. Application of space-group theory: Energy bands for the perovskite structure -- 10.1. The structure of the ABO3 perovskites -- 10.2. Tight-binding wavefunctions -- 10.3. The group of the wawvector, gk -- 10.4. Irreducible representations for the perovskite energy bands -- 10.5. LCAO energies for arbitrary k -- 10.6. Characteristics of the perovskite bands -- References -- Exercises -- 11. Applications of space-group theory: Lattice vibrations -- 11.1. Eigenvalue equations for lattice vibrations.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Contents note continued: 11.2. Acoustic-phonon branches -- 11.3. Optical branches: Two atoms per unit cell -- 11.4. Lattice vibrations for the perovskite structure -- 11.5. Localized vibrations -- References -- Exercises -- 12. Time reversal and magnetic groups -- 12.1. Time reversal in quantum mechanics -- 12.2. The effect of T on an electron wavefunction -- 12.3. Time reversal with an external field -- 12.4. Time-reversal degeneracy and energy bands -- 12.5. Magnetic crystal groups -- 12.6. Co-representations for groups with time-reversal operators -- 12.7. Degeneracies due to time-reversal symmetry -- References -- Exercises -- 13. Graphene -- 13.1. Graphene structure and energy bands -- 13.2. The analogy with the Dirac relativistic theory for massless particles -- 13.3. Graphene lattice vibrations -- References -- Exercises -- 14. Carbon nanotubes -- 14.1.A description of carbon nanotubes -- 14.2. Group theory of nanotubes -- 14.3. One-dimensional nanotube energy bands.
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Contents note continued: 14.4. Metallic and semiconducting nanotubes -- 14.5. The nanotube density of states -- 14.6. Curvature and energy gaps -- References -- Exercises.
520 ## - SUMMARY, ETC.
Summary, etc. The majority of all knowledge concerning atoms, molecules, and solids has been derived from applications of group theory. Taking a unique, applications-oriented approach, this book gives readers the tools needed to analyze any atomic, molecular, or crystalline solid system. Using a clearly defined, eight-step program, this book helps readers to understand the power of group theory, what information can be obtained from it, and how to obtain it. The book takes in modern topics, such as graphene, carbon nanotubes and isotopic frequencies of molecules, as well as more traditional subjects: the vibrational and electronic states of molecules and solids, crystal field and ligand field theory, transition metal complexes, space groups, time reversal symmetry, and magnetic groups. With over 100 end-of-chapter exercises, this book is invaluable for graduate students and researchers in physics, chemistry, electrical engineering and materials science.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Solids
General subdivision Mathematical models.
9 (RLIN) 3269
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Molecular structure.
9 (RLIN) 2334
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Atomic structure.
9 (RLIN) 15485
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Group theory.
9 (RLIN) 14163
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
International Standard Book Number 9781107028524
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://doi.org/10.1017/CBO9781139236294">https://doi.org/10.1017/CBO9781139236294</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type eBooks

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