Geometric crystallography: an axiomatic introduction to crystallography
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Dordrecht u.a.
Reidel
1986
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 266 S. graph. Darst. |
| ISBN: | 9027723397 9027723419 |
Staff View
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| 245 | 1 | 0 | |a Geometric crystallography |b an axiomatic introduction to crystallography |c Peter Engel |
| 264 | 1 | |a Dordrecht u.a. |b Reidel |c 1986 | |
| 300 | |a VIII, 266 S. |b graph. Darst. | ||
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Record in the Search Index
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| adam_text | Table of Contents
1• Basic definitions
1.1. Axioms of geometric crystallography 1
1.2. Euclidean vector space 3
1.3.Rigid motions 5
1.4. Symmetry operations 7
1.5. Classifications 10
1.6. Historical remarks 10
2. Dirichlet domains
2.1. Definition of the Dirichlet domain 13
2.2. Some properties of Dirichlet domains 14
2.3. Dirichlet domain partition 16
2.4. A practical method to calculate 17
Dirichlet domains
3. Lattices
3.1. The theorem of Bieberbach 22
3.2. Lattice bases 25
3.3. Orthogonal basis 27
3.4. Lattice planes 32
3.5. Dirichlet par a 1le1otopes 33
4. Reduction of quadratic forms
4.1. Definition of the Z reduced form 44
4.2. The reduction scheme of Lagrange 45
4.3. The reduction scheme of Seeber 46
4.4. The reduction scheme of Selling 59
4.5. The reduction scheme of Minkowski 62
4.6. Historical remarks 66
5• Crvsta1lograohic symmetry operations
5.1.Definitions 68
5.2. Rotations in E2 70
5.3. Rotations in En 72
5.4. Symmetry support 81
5.5. General symmetry operations in En 84
viii TABLE OF CONTENTS
6. Crystalloaraohic point groups
6.1. Definitions 89
6.2. Point groups in E2 93
6.3. Point groups in E3 94
6.4. Point groups in En 102
6.5. Root classes 111
6.6. Isomorphism types of point groups 119
6.7. Historical remarks 119
7. Lattice symmetries
7.1. Definitions 123
7.2. Bravais point groups 124
7.3. Bravais types of lattices 128
7.4. Arithmetic crystal classes 141
7.5. Crystal forms 144
7.6. Historical remarks 149
8. Space groups
8.1. Def i n i t ions 151
8.2. Derivation of space groups 153
8.3. Normalizers of symmetry groups 165
8.4. Subgroups of space groups 170
8.5. Crystal lographic orbits 183
8.6. Colour groups and colourings 191
8.7. Subperiodic groups 195
8.8. Historical remarks 198
9 . Space partitions
9.1. Definitions 201
9.2. Dirichlet domain partitions 209
9.3. Parallelotopes 221
9.4. The regularity condition 225
9.5. Dissections of polytopes 234
9.6. Historical remarks 237
10. Packings of balls
10.1. Definitions 240
10.2. Packings of disks into E2 243
10.3. Packings of balls into E 3 244
10.4. Lattice packings of balls in En 246
10.5. Historical remarks 248
References 249
Subject index 261
|
| any_adam_object | 1 |
| author | Engel, Peter |
| author_facet | Engel, Peter |
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| ctrlnum | (OCoLC)14002370 (DE-599)BVBBV000648451 |
| dewey-full | 548/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 548 - Crystallography |
| dewey-raw | 548/.7 |
| dewey-search | 548/.7 |
| dewey-sort | 3548 17 |
| dewey-tens | 540 - Chemistry and allied sciences |
| discipline | Chemie / Pharmazie Physik |
| format | Book |
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| id | DE-604.BV000648451 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:17:10Z |
| institution | BVB |
| isbn | 9027723397 9027723419 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000404018 |
| oclc_num | 14002370 |
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| owner_facet | DE-12 DE-355 DE-BY-UBR DE-824 DE-29T DE-706 DE-11 DE-188 |
| physical | VIII, 266 S. graph. Darst. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Reidel |
| record_format | marc |
| spelling | Engel, Peter Verfasser aut Geometric crystallography an axiomatic introduction to crystallography Peter Engel Dordrecht u.a. Reidel 1986 VIII, 266 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cristallographie mathématique ram Crystallography, Mathematical Kristallographie (DE-588)4033217-2 gnd rswk-swf Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Kristallographie (DE-588)4033217-2 s Mathematische Methode (DE-588)4155620-3 s DE-604 Geometrie (DE-588)4020236-7 s Mathematik (DE-588)4037944-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000404018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Engel, Peter Geometric crystallography an axiomatic introduction to crystallography Cristallographie mathématique ram Crystallography, Mathematical Kristallographie (DE-588)4033217-2 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematik (DE-588)4037944-9 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4033217-2 (DE-588)4155620-3 (DE-588)4037944-9 (DE-588)4020236-7 |
| title | Geometric crystallography an axiomatic introduction to crystallography |
| title_auth | Geometric crystallography an axiomatic introduction to crystallography |
| title_exact_search | Geometric crystallography an axiomatic introduction to crystallography |
| title_full | Geometric crystallography an axiomatic introduction to crystallography Peter Engel |
| title_fullStr | Geometric crystallography an axiomatic introduction to crystallography Peter Engel |
| title_full_unstemmed | Geometric crystallography an axiomatic introduction to crystallography Peter Engel |
| title_short | Geometric crystallography |
| title_sort | geometric crystallography an axiomatic introduction to crystallography |
| title_sub | an axiomatic introduction to crystallography |
| topic | Cristallographie mathématique ram Crystallography, Mathematical Kristallographie (DE-588)4033217-2 gnd Mathematische Methode (DE-588)4155620-3 gnd Mathematik (DE-588)4037944-9 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Cristallographie mathématique Crystallography, Mathematical Kristallographie Mathematische Methode Mathematik Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000404018&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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