The Resource Computer algebra and materials physics : a practical guidebook to group theoretical computations in materials science, Akihito Kikuchi, (electronic book)
Computer algebra and materials physics : a practical guidebook to group theoretical computations in materials science, Akihito Kikuchi, (electronic book)
Resource Information
The item Computer algebra and materials physics : a practical guidebook to group theoretical computations in materials science, Akihito Kikuchi, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Computer algebra and materials physics : a practical guidebook to group theoretical computations in materials science, Akihito Kikuchi, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Language
 eng
 Extent
 1 online resource.
 Contents

 5.1 How to Manage QuantumDynamics in Crystal?5.2 Control of Band Gaps by Means of the Wyckoff Positions; 5.3 A Possible Plan of Material Design in the SuperCell; References; 6 Technical Details; 6.1 About This Chapter; 6.2 Determination of Crystal Symmetry; 6.3 Symmetry Operations in the Reciprocal Space; 6.4 The Computation of the Compatibility Relation; 6.5 The Character Table at the Boundary of the Brillouin Zone; 6.5.1 The Necessity of the Special Treatment for the Nonsymmorphic Crystal; 6.5.2 Herring Method: An Example; 6.6 The Semidirect Product and the Induced Representation
 6.7 The Computation of the Character Table in the Cubic Diamond by GAP6.8 Crystal Lattice and Cohomology; 6.8.1 A Brief Introduction to Group Cohomology; 6.8.2 The Possible Fractional Translations with One Point Group; 6.8.3 Group Extension; 6.9 Remarks to This Chapter; References; 7 Symmetry in C60; 7.1 The Initial SetUp; 7.2 The Analysis of the Eigenstates; 7.3 The Analysis Again, Against the Failure in the Identification; 7.4 The Perturbation and the Symmetry; 7.5 The Possible Deformation in the Reduced Symmetry
 7.6 The Reduction of the Symmetry, from the View Point of the Orbit in the Permutation7.7 The Symmetry in the Eigenstates (Hidden One); 7.8 The SuperSymmetries; 7.9 Remarks to This Chapter; Reference; 8 Analysis of Vibrational Mode in C60; 8.1 The Vibrational Modes of C60; 8.2 One Technical Problem; 8.3 Remark to This Chapter; References; 9 Final Remarks; References; A Symmetry Operations in the Diamond Structure (Real Space); Appendix B Symmetry Operations in the Hexagonal Lattice (Real Space); Appendix C Symmetry Operations in the Diamond Structure (WaveNumber Space)
 Appendix D Symmetry Operations in the Hexagonal Lattice (WaveNumber Space)Appendix E The Computation of Wyckoff Positions by GAP; Appendix F Subgroup Lattice; Appendix G A Short Program to Compute the Semidirect Product of Groups; Appendix H The Analytical Representation of the Energy Spectra of C60; Appendix I Comment on the Irreducible Representations in the Symmetry Group of C60; Appendix J The GAP Script in the Computation of Deformation in C60
 Isbn
 9783319942254
 Label
 Computer algebra and materials physics : a practical guidebook to group theoretical computations in materials science
 Title
 Computer algebra and materials physics
 Title remainder
 a practical guidebook to group theoretical computations in materials science
 Statement of responsibility
 Akihito Kikuchi
 Language
 eng
 Cataloging source
 YDX
 http://library.link/vocab/creatorName
 Kikuchi, Akihito
 Dewey number
 620.1/1015118
 Index
 no index present
 LC call number
 TA404.23
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Springer series in materials science,
 Series volume
 v. 272
 http://library.link/vocab/subjectName

 Materials
 Group theory
 Computer algorithms
 Label
 Computer algebra and materials physics : a practical guidebook to group theoretical computations in materials science, Akihito Kikuchi, (electronic book)
 Bibliography note
 Includes bibliographical references
 Contents

 5.1 How to Manage QuantumDynamics in Crystal?5.2 Control of Band Gaps by Means of the Wyckoff Positions; 5.3 A Possible Plan of Material Design in the SuperCell; References; 6 Technical Details; 6.1 About This Chapter; 6.2 Determination of Crystal Symmetry; 6.3 Symmetry Operations in the Reciprocal Space; 6.4 The Computation of the Compatibility Relation; 6.5 The Character Table at the Boundary of the Brillouin Zone; 6.5.1 The Necessity of the Special Treatment for the Nonsymmorphic Crystal; 6.5.2 Herring Method: An Example; 6.6 The Semidirect Product and the Induced Representation
 6.7 The Computation of the Character Table in the Cubic Diamond by GAP6.8 Crystal Lattice and Cohomology; 6.8.1 A Brief Introduction to Group Cohomology; 6.8.2 The Possible Fractional Translations with One Point Group; 6.8.3 Group Extension; 6.9 Remarks to This Chapter; References; 7 Symmetry in C60; 7.1 The Initial SetUp; 7.2 The Analysis of the Eigenstates; 7.3 The Analysis Again, Against the Failure in the Identification; 7.4 The Perturbation and the Symmetry; 7.5 The Possible Deformation in the Reduced Symmetry
 7.6 The Reduction of the Symmetry, from the View Point of the Orbit in the Permutation7.7 The Symmetry in the Eigenstates (Hidden One); 7.8 The SuperSymmetries; 7.9 Remarks to This Chapter; Reference; 8 Analysis of Vibrational Mode in C60; 8.1 The Vibrational Modes of C60; 8.2 One Technical Problem; 8.3 Remark to This Chapter; References; 9 Final Remarks; References; A Symmetry Operations in the Diamond Structure (Real Space); Appendix B Symmetry Operations in the Hexagonal Lattice (Real Space); Appendix C Symmetry Operations in the Diamond Structure (WaveNumber Space)
 Appendix D Symmetry Operations in the Hexagonal Lattice (WaveNumber Space)Appendix E The Computation of Wyckoff Positions by GAP; Appendix F Subgroup Lattice; Appendix G A Short Program to Compute the Semidirect Product of Groups; Appendix H The Analytical Representation of the Energy Spectra of C60; Appendix I Comment on the Irreducible Representations in the Symmetry Group of C60; Appendix J The GAP Script in the Computation of Deformation in C60
 Dimensions
 unknown
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9783319942254
 Specific material designation
 remote
 System control number

 on1043406715
 (OCoLC)1043406715
 Label
 Computer algebra and materials physics : a practical guidebook to group theoretical computations in materials science, Akihito Kikuchi, (electronic book)
 Bibliography note
 Includes bibliographical references
 Contents

 5.1 How to Manage QuantumDynamics in Crystal?5.2 Control of Band Gaps by Means of the Wyckoff Positions; 5.3 A Possible Plan of Material Design in the SuperCell; References; 6 Technical Details; 6.1 About This Chapter; 6.2 Determination of Crystal Symmetry; 6.3 Symmetry Operations in the Reciprocal Space; 6.4 The Computation of the Compatibility Relation; 6.5 The Character Table at the Boundary of the Brillouin Zone; 6.5.1 The Necessity of the Special Treatment for the Nonsymmorphic Crystal; 6.5.2 Herring Method: An Example; 6.6 The Semidirect Product and the Induced Representation
 6.7 The Computation of the Character Table in the Cubic Diamond by GAP6.8 Crystal Lattice and Cohomology; 6.8.1 A Brief Introduction to Group Cohomology; 6.8.2 The Possible Fractional Translations with One Point Group; 6.8.3 Group Extension; 6.9 Remarks to This Chapter; References; 7 Symmetry in C60; 7.1 The Initial SetUp; 7.2 The Analysis of the Eigenstates; 7.3 The Analysis Again, Against the Failure in the Identification; 7.4 The Perturbation and the Symmetry; 7.5 The Possible Deformation in the Reduced Symmetry
 7.6 The Reduction of the Symmetry, from the View Point of the Orbit in the Permutation7.7 The Symmetry in the Eigenstates (Hidden One); 7.8 The SuperSymmetries; 7.9 Remarks to This Chapter; Reference; 8 Analysis of Vibrational Mode in C60; 8.1 The Vibrational Modes of C60; 8.2 One Technical Problem; 8.3 Remark to This Chapter; References; 9 Final Remarks; References; A Symmetry Operations in the Diamond Structure (Real Space); Appendix B Symmetry Operations in the Hexagonal Lattice (Real Space); Appendix C Symmetry Operations in the Diamond Structure (WaveNumber Space)
 Appendix D Symmetry Operations in the Hexagonal Lattice (WaveNumber Space)Appendix E The Computation of Wyckoff Positions by GAP; Appendix F Subgroup Lattice; Appendix G A Short Program to Compute the Semidirect Product of Groups; Appendix H The Analytical Representation of the Energy Spectra of C60; Appendix I Comment on the Irreducible Representations in the Symmetry Group of C60; Appendix J The GAP Script in the Computation of Deformation in C60
 Dimensions
 unknown
 Extent
 1 online resource.
 Form of item
 online
 Isbn
 9783319942254
 Specific material designation
 remote
 System control number

 on1043406715
 (OCoLC)1043406715
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