International tables for crystallography: A1 Symmetry relations between space groups
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
2008
|
| Ausgabe: | 1. ed., reprinted with corr. |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 731 S. graph. Darst. |
| ISBN: | 9781402023552 |
Internformat
MARC
| LEADER | 00000nam a2200000 cc4500 | ||
|---|---|---|---|
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| 003 | DE-604 | ||
| 005 | 20100224 | ||
| 007 | t| | ||
| 008 | 091020s2008 xx d||| |||| 00||| eng d | ||
| 020 | |a 9781402023552 |9 978-1-4020-2355-2 | ||
| 035 | |a (OCoLC)634494823 | ||
| 035 | |a (DE-599)BVBBV035778743 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-29T | ||
| 245 | 1 | 0 | |a International tables for crystallography |n A1 |p Symmetry relations between space groups |c ed. by Theo Hahn ; ed. by Hans Wondratschek ... |
| 250 | |a 1. ed., reprinted with corr. | ||
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 2008 | |
| 300 | |a XII, 731 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 700 | 1 | |a Wondratschek, Hans |d 1925-2014 |e Sonstige |0 (DE-588)117422525 |4 oth | |
| 700 | 1 | |a Hahn, Theo |d 1928-2016 |e Sonstige |0 (DE-588)143795198 |4 oth | |
| 700 | 1 | |a Shmueli, Uri |e Sonstige |4 oth | |
| 700 | 1 | |a Wilson, Arthur J. C. |d 1914- |e Sonstige |0 (DE-588)118186191 |4 oth | |
| 710 | 2 | |a Internationale Union für Kristallographie |e Sonstige |0 (DE-588)4721-1 |4 oth | |
| 773 | 0 | 8 | |w (DE-604)BV001208471 |g A1 |
| 856 | 4 | 2 | |m Digitalisierung UB Bayreuth |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018638304&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-018638304 | |
Datensatz im Suchindex
| _version_ | 1823751029299085312 |
|---|---|
| adam_text |
Contents
PAGE
Foreword
(Th.
Hahn). ix
Scope of this volume (M. I. Aroyo, U.
Müller
and H. Wondratschek)
.
χ
Computer production of Parts
2
and
3
(P.
Konštantínov,
A. Kirov, E. B. Kroumova, M. I. Aroyo and U.
Müller) . xi
List of symbols and abbreviations used in this volume
. xii
PART
1.
SPACE GROUPS AND THEIR SUBGROUPS
1.1.
Historical introduction (M. I. Aroyo, U.
Müller
and H. Wondratschek)
. 2
1.1.1.
The fundamental laws of crystallography
. 2
1.1.2.
Symmetry and crystal-structure determination
. 2
1.1.3.
Development of the theory of group-subgroup relations
. 3
1.1.4.
Applications of group-subgroup relations
. 4
1.2.
General introduction to the subgroups of space groups (H. Wondratschek)
. 6
1.2.1.
General remarks
. 6
1.2.2.
Mappings and matrices
. 6
1.2.3.
Groups
. 9
1.2.4.
Subgroups
. 11
1.2.5.
Space groups
. 13
1.2.6.
Types of subgroups of space groups
. 16
1.2.7.
Application to domain structures
. 18
1.2.8.
Lemmata on subgroups of space groups
. 22
1.3.
Remarks on Wyckoff positions (U.
Müller) . 24
1.3.1.
Introduction
. 24
1.3.2.
Cristallographie
orbits and Wyckoff positions
. 24
1.3.3.
Derivative structures and phase transitions
. 25
1.3.4.
Relations between the positions in group—subgroup relations
. 25
1.4.
Computer checking of the subgroup data
(F. Gähler) . 27
1.4.1.
Introduction
. 27
1.4.2.
Basic capabilities of the Cryst package
. 27
1.4.3.
Computing maximal subgroups
. 27
1.4.4.
Description of the checks
. 28
1.5.
The mathematical background of the subgroup tables
(G. Nebe)
. 29
1.5.1.
Introduction
. 29
1.5.2.
The
affine
space
. 29
1.5.3.
Groups
. 31
1.5.4.
Space groups
. 34
1.5.5.
Maximal subgroups
. 36
1.5.6.
Quantitative results
. 38
1.5.7.
Qualitative results
. 39
PART
2.
MAXIMAL SUBGROUPS OF THE PLANE GROUPS AND SPACE GROUPS
2.1.
Guide to the subgroup tables and graphs (H. Wondratschek and M. I. Aroyo)
. 42
2.1.1.
Contents and arrangement of the subgroup tables
. 42
2.1.2.
Structure of the subgroup tables
. 42
2.13.
1 Maximal
translationengleiche
subgroups
(ґ
-subgroups)
.
45
2.1.4.
II Maximal
klassengleiche
subgroups (t-subgroups)
. 48
2.1.5.
Series of maximal isomorphic subgroups (Y. Billiet)
. 51
vii
CONTENTS
2.1.6. Minimal
supergroups .
53
2.1.7.
The subgroup graphs
. 54
2.2.
Tables of maximal subgroups of the plane groups (Y. Billiet, M. I. Aroyo and H. Wondratschek)
. 59
2.3.
Tables of maximal subgroups of the space groups (Y. Billiet, M. I. Aroyo and H. Wondratschek)
. 77
2.4.
Graphs for
translationengleiche
subgroups (V.
Grämlich
and H. Wondratschek)
. 395
2.4.1.
Graphs of the
translationengleiche
subgroups with a cubic summit
. 396
2.4.2.
Graphs of the
translationengleiche
subgroups with a tetragonal summit
. 402
2.4.3.
Graphs of the
translationengleiche
subgroups with a hexagonal summit
. 409
2.4.4.
Graphs of the
translationengleiche
subgroups with an orthorhombic summit
. 412
2.5.
Graphs for
klassengleiche
subgroups (V.
Grämlich
and H. Wondratschek)
. 415
2.5.1.
Graphs of the
klassengleiche
subgroups of monoclinic and orthorhombic space groups
. 416
2.5.2.
Graphs of the
klassengleiche
subgroups of tetragonal space groups
. 419
2.5.3.
Graphs of the
klassengleiche
subgroups of trigonal space groups
. 422
2.5.4.
Graphs of the
klassengleiche
subgroups of hexagonal space groups
. 423
2.5.5.
Graphs of the
klassengleiche
subgroups of cubic space groups
. 424
PART
3.
RELATIONS BETWEEN THE WYCKOFF POSITIONS
3.1.
Guide to the tables (U.
Müller). 428
3.1.1.
Arrangement of the entries
. 428
3.1.2.
Cell transformations
. 430
3.1.3.
Origin shifts
. 430
3.1.4.
Nonconventional settings of orthorhombic space groups
. 431
3.1.5.
Conjugate subgroups
. 432
3.1.6.
Monoclinic and triclinic subgroups
. 433
3.2.
Tables of the relations of the Wyckoff positions (U.
Müller). 435
Appendix. Differences in the presentation of Parts
2
and
3
(U.
Müller
and H. Wondratschek)
. 723
References
. 725
Subject index
. 729 |
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| id | DE-604.BV035778743 |
| illustrated | Illustrated |
| indexdate | 2025-02-11T09:01:56Z |
| institution | BVB |
| institution_GND | (DE-588)4721-1 |
| isbn | 9781402023552 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018638304 |
| oclc_num | 634494823 |
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| physical | XII, 731 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Kluwer |
| record_format | marc |
| spelling | International tables for crystallography A1 Symmetry relations between space groups ed. by Theo Hahn ; ed. by Hans Wondratschek ... 1. ed., reprinted with corr. Dordrecht [u.a.] Kluwer 2008 XII, 731 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Wondratschek, Hans 1925-2014 Sonstige (DE-588)117422525 oth Hahn, Theo 1928-2016 Sonstige (DE-588)143795198 oth Shmueli, Uri Sonstige oth Wilson, Arthur J. C. 1914- Sonstige (DE-588)118186191 oth Internationale Union für Kristallographie Sonstige (DE-588)4721-1 oth (DE-604)BV001208471 A1 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018638304&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | International tables for crystallography |
| title | International tables for crystallography |
| title_auth | International tables for crystallography |
| title_exact_search | International tables for crystallography |
| title_full | International tables for crystallography A1 Symmetry relations between space groups ed. by Theo Hahn ; ed. by Hans Wondratschek ... |
| title_fullStr | International tables for crystallography A1 Symmetry relations between space groups ed. by Theo Hahn ; ed. by Hans Wondratschek ... |
| title_full_unstemmed | International tables for crystallography A1 Symmetry relations between space groups ed. by Theo Hahn ; ed. by Hans Wondratschek ... |
| title_short | International tables for crystallography |
| title_sort | international tables for crystallography symmetry relations between space groups |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018638304&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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