Line groups in physics: theory and applications to nanotubes and polymers
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2010
|
| Schriftenreihe: | Lecture notes in physics
801 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 194 S. Ill., graph. Darst. |
| ISBN: | 9783642111716 |
Internformat
MARC
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| 100 | 1 | |a Damnjanović, Milan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Line groups in physics |b theory and applications to nanotubes and polymers |c M. Damnjanović ; I. Milošević |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2010 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS 1 INTRODUCTION 1 REFERENCES 5 2 LINE GROUPS STRUCTURE 7 2. 1
FACTORIZATION OF THE LINE GROUPS 7 2.1.1 GENERALIZED TRANSLATIONS:
SYMMETRY OF ARRANGEMENTS 8 2.1.2 AXIAL POINT GROUPS: INTRINSIC MONOMER
SYMMETRY 9 2.1.3 COMPATIBLE INTRINSIC AND ARRANGEMENT SYMMETRIES 11
2.1.4 MONOMER, ELEMENTARY CELL, SYMCELL 14 2.1.5 ISOGONAL GROUPS 14
2.1.6 SPATIAL INVERSION AND CHIRALITY 15 2.2 FIRST FAMILY LINE GROUPS 17
2.2.1 HELIX GENERATED BY THE HELICAL GROUP 17 2.2.2 DIFFERENT
FACTORIZATIONS AND CONVENTIONS 19 2.2.3 COMMENSURABILITY 20 2.2.4
ISOMORPHISMS AND PHYSICAL EQUIVALENCE 23 2.2.5 CHIRALITY 24 2.3 OTHER
FAMILIES 25 2.3.1 ELEMENTS 25 2.3.2 FIRST FAMILY SUBGROUP 26 2.3.3
SUBGROUPS PRESERVING Z-AXIS 26 2.3.4 INTERNATIONAL NOTATION 27
REFERENCES 27 3 SYMMETRICAL COMPOUNDS 29 3.1 ORBITS OF THE LINE GROUPS
29 3.1.1 ORBIT, STABILIZER, AND TRANSVERSAL 29 3.1.2 CONSTRUCTION OF THE
ORBIT TYPES OF THE LINE GROUPS 30 3.1.3 MONOMERS AND ORBIT ORDERS 31
3.1.4 RESULTS 32 3.2 CONFORMATION CLASSES AND THEIR SYMMETRY 36 3.3
SYMMETRY DOMAIN 41 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/998030872 DIGITALISIERT DURCH X CONTENTS 3.4 SYMMETRY
FIXING SETS 42 3.5 APPLICATION: LINE GROUP NOTATION FOR MONOPERIODIC
CRYSTALS 43 REFERENCES 46 4 IRREDUCIBLE REPRESENTATIONS 47 4.1 FIRST
FAMILY 47 4.1.1 HELICAL QUANTUM NUMBERS 48 4.1.2 COMMENSURATE GROUPS AND
LINEAR QUANTUM NUMBERS 48 4.1.3 TRANSITION RULES 49 4.1.4 BRILLOUIN
ZONES AND BANDS 50 4.1.5 SPECIAL POINTS 51 4.1.6 ZIGZAG GROUPS 52 4.2
OTHER FAMILIES 53 4.3 PROPERTIES OF THE REPRESENTATIONS 55 4.3.1 REDUCED
BRILLOUIN ZONES AND BANDS 59 4.3.2 SYMMETRY-ADAPTED BASIS 61 4.3.3
DIMENSIONS AND COMPATIBILITY RELATIONS 62 4.3.4 REALITY OF
REPRESENTATIONS 63 REFERENCES 64 5 TENSORS 65 5.1 STANDARD COMPONENTS 65
5.2 FUNCTIONS: INVARIANTS AND COVARIANTS 66 5.2.1 HARMONICS 66 5.2.2
COVARIANTS 71 5.3 VECTORS 75 5.4 SECOND-RANK TENSORS 77 5.5 APPLICATION:
CLEBSCH-GORDAN COEFFICIENTS AND SELECTION RULES 82 REFERENCES 84 6
MAGNETIC LINE GROUPS 85 6. 1 CLASSIFICATION 85 6.1.1 STRUCTURE 85 6.1.2
CONSTRUCTION 86 6.1.3 RESULTS AND NOTATION 87 6.2 CO-REPRESENTATIONS 90
6.2.1 IRREDUCIBLE CO-REPRESENTATIONS 91 6.2.2 GRAY GROUPS AND REALITY OF
REPRESENTATIONS 91 6.2.3 REAL OR PHYSICAL REPRESENTATIONS 92 6. CONTENTS
XI 7.2 NORMAL MODES 109 7.3 EXAMPLE: POLYACETYLENE 110 REFERENCES ILL 8
APPLICATIONS 113 8.1 ENERGY BANDS AND BLOCH FUNCTIONS 113 8.1.1
EIGENPROBLEM AND BANDS 113 8.1.2 BAND TOPOLOGY 115 8.2 SYMMETRY BREAKING
AND EPIKERNELS 118 8.2.1 EPIKERNELS OF THE FIRST FAMILY GROUPS 119 8.2.2
EQUITRANSLATIONAL EPIKERNELS 119 8.3 OPTICAL AND VIBRATIONAL ACTIVITY
122 8.3.1 OPTICAL TRANSITIONS 122 8.3.2 INFRARED ACTIVE MODES 124 8.3.3
RAMAN ACTIVE MODES 125 8.3.4 VIBRONIC ACTIVITY: JAHN-TELLER THEOREM 126
8.4 DIFFRACTION 129 8.4.1 SYMMETRY AND ORBIT AMPLITUDES 129 8.4.2
GEOMETRICAL FACTORS OF THE LINE GROUP ORBITS 130 8.4.3 CHARACTERISTICS
OF THE DIFFRACTION PATTERNS 131 8.4.4 APPLICATIONS TO THE MULTIORBIT
SYSTEMS 137 8.5 NUMERICAL IMPLEMENTATIONS OF THE LINE GROUPS 137 8.5.1
TIGHT-BINDING METHODS 138 8.5.2 DENSITY FUNCTIONAL RELAXATION 140
REFERENCES 141 9 NANOTUBES 143 9.1 SYMMETRY OF NANOTUBES 143 9.1.1
FOLDED TRANSLATIONS: THE FIRST FAMILY SUBGROUP 145 9.1.2
COMMENSURABILITY 146 9.1.3 ADDITIONAL SYMMETRIES 147 9.1.4
SYMMETRY-BASED COMMON CHARACTERISTICS OF NANOTUBES 149 9.2 CARBON
NANOTUBES 150 9.2.1 SINGLE-WALL NANOTUBES 151 9.2.2 DOUBLE- AND
MULTI-WALL NANOTUBES 165 REFERENCES 168 A KOSTER-SEITZ NOTATION 17 XII
CONTENTS D CONSTRUCTION OF THE REPRESENTATIONS 179 D.I IRREDUCIBLE
REPRESENTATIONS 179 D.I.I CYCLIC GROUPS 179 D.1.2 DIRECT PRODUCT 179
D.I.3 INDUCTION FROM A HALVING SUBGROUP 180 D.2 CO-REPRESENTATIONS OF
THE MAGNETIC GROUPS 181 E GENERALIZATIONS OF THE LINE GROUPS 183 E.I
CONTINUAL LINE GROUPS 184 E.2 BIHELICAL LINE GROUPS 184 F MODIFIED GROUP
PROJECTOR TECHNIQUE 187 REFERENCES 190 INDEX 191
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| any_adam_object | 1 |
| author | Damnjanović, Milan Milošević, Ivanka |
| author_facet | Damnjanović, Milan Milošević, Ivanka |
| author_role | aut aut |
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| dewey-full | 530.41 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.41 |
| dewey-search | 530.41 |
| dewey-sort | 3530.41 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:41:29Z |
| institution | BVB |
| isbn | 9783642111716 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020411288 |
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| physical | XIII, 194 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
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| publisher | Springer |
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| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Damnjanović, Milan Verfasser aut Line groups in physics theory and applications to nanotubes and polymers M. Damnjanović ; I. Milošević Berlin [u.a.] Springer 2010 XIII, 194 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 801 Liniengruppe (DE-588)7703729-7 gnd rswk-swf Eindimensionaler Festkörper (DE-588)4140089-6 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Eindimensionaler Festkörper (DE-588)4140089-6 s Symmetrie (DE-588)4058724-1 s Liniengruppe (DE-588)7703729-7 s DE-604 Milošević, Ivanka Verfasser aut Lecture notes in physics 801 (DE-604)BV000003166 801 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020411288&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Damnjanović, Milan Milošević, Ivanka Line groups in physics theory and applications to nanotubes and polymers Lecture notes in physics Liniengruppe (DE-588)7703729-7 gnd Eindimensionaler Festkörper (DE-588)4140089-6 gnd Symmetrie (DE-588)4058724-1 gnd |
| subject_GND | (DE-588)7703729-7 (DE-588)4140089-6 (DE-588)4058724-1 |
| title | Line groups in physics theory and applications to nanotubes and polymers |
| title_auth | Line groups in physics theory and applications to nanotubes and polymers |
| title_exact_search | Line groups in physics theory and applications to nanotubes and polymers |
| title_full | Line groups in physics theory and applications to nanotubes and polymers M. Damnjanović ; I. Milošević |
| title_fullStr | Line groups in physics theory and applications to nanotubes and polymers M. Damnjanović ; I. Milošević |
| title_full_unstemmed | Line groups in physics theory and applications to nanotubes and polymers M. Damnjanović ; I. Milošević |
| title_short | Line groups in physics |
| title_sort | line groups in physics theory and applications to nanotubes and polymers |
| title_sub | theory and applications to nanotubes and polymers |
| topic | Liniengruppe (DE-588)7703729-7 gnd Eindimensionaler Festkörper (DE-588)4140089-6 gnd Symmetrie (DE-588)4058724-1 gnd |
| topic_facet | Liniengruppe Eindimensionaler Festkörper Symmetrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020411288&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003166 |
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