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INTERNATIONAL TABLES Symmetry relations between space groups
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A1
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International Tables for Crystallography
Volume A1: Symmetry relations between space groups
First online edition (2006)
ISBN: 978-1-4020-2355-2
doi: 10.1107/97809553602060000101
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1
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2
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Edited by H. Wondratschek and U. Müller
Contents
Foreword
(p. ix)
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Th. Hahn
Scope of this volume
(p. x)
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Mois I. Aroyo
,
Ulrich Müller
and
Hans Wondratschek
Computer production of Parts 2 and 3
(p. xi)
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Preslav Konstantinov
,
Asen Kirov
,
Eli B. Kroumova
,
Mois I. Aroyo
and
Ulrich Müller
List of symbols and abbreviations used in this volume
(p. xii)
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Mois I. Aroyo
,
Ulrich Müller
and
Hans Wondratschek
Part 1. Space groups and their subgroups
1.1. Historical introduction
(pp. 2-5)
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chapter contents
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Mois I. Aroyo
,
Ulrich Müller
and
Hans Wondratschek
1.1.1. The fundamental laws of crystallography (p. 2)
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1.1.2. Symmetry and crystal-structure determination (pp. 2-3)
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1.1.3. Development of the theory of group–subgroup relations (pp. 3-4)
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1.1.4. Applications of group–subgroup relations (pp. 4-5)
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References
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1.2. General introduction to the subgroups of space groups
(pp. 6-23)
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chapter contents
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Hans Wondratschek
1.2.1. General remarks (p. 6)
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1.2.2. Mappings and matrices (pp. 6-9)
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1.2.3. Groups (pp. 9-10)
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1.2.4. Subgroups (pp. 11-12)
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1.2.5. Space groups (pp. 13-16)
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1.2.6. Types of subgroups of space groups (pp. 16-18)
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1.2.7. Application to domain structures (pp. 18-22)
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1.2.8. Lemmata on subgroups of space groups (pp. 22-23)
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References
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1.3. Remarks on Wyckoff positions
(pp. 24-26)
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chapter contents
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Ulrich Müller
1.3.1. Introduction (p. 24)
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1.3.2. Crystallographic orbits and Wyckoff positions (pp. 24-25)
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1.3.3. Derivative structures and phase transitions (p. 25)
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1.3.4. Relations between the positions in group–subgroup relations (pp. 25-26)
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References
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1.4. Computer checking of the subgroup data
(pp. 27-28)
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chapter contents
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Franz Gähler
1.4.1. Introduction (p. 27)
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1.4.2. Basic capabilities of the
Cryst
package (p. 27)
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1.4.3. Computing maximal subgroups (p. 27)
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1.4.4. Description of the checks (p. 28)
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References
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1.5. The mathematical background of the subgroup tables
(pp. 29-40)
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chapter contents
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Gabriele Nebe
1.5.1. Introduction (p. 29)
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1.5.2. The affine space (pp. 29-31)
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1.5.3. Groups (pp. 31-34)
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1.5.4. Space groups (pp. 34-36)
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1.5.5. Maximal subgroups (pp. 36-38)
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1.5.6. Quantitative results (pp. 38-39)
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1.5.7. Qualitative results (pp. 39-40)
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References
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Part 2. Maximal subgroups of the plane groups and space groups
2.1. Guide to the subgroup tables and graphs
(pp. 42-58)
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chapter contents
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Hans Wondratschek
and
Mois I. Aroyo
2.1.1. Contents and arrangement of the subgroup tables (p. 42)
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2.1.2. Structure of the subgroup tables (pp. 42-45)
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2.1.3. I Maximal
translationengleiche
subgroups (
t
-subgroups) (pp. 45-48)
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2.1.4. II Maximal
klassengleiche
subgroups (
k
-subgroups) (pp. 48-51)
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2.1.5. Series of maximal isomorphic subgroups (pp. 51-53)
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Y. Billiet
2.1.6. Minimal supergroups (pp. 53-54)
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2.1.7. The subgroup graphs (pp. 54-58)
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References
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2.2. Tables of maximal subgroups of the plane groups
(pp. 59-76)
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chapter contents
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Maximal subgroups of plane group 1 (p. 60)
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Maximal subgroups of plane group 2 (p. 61)
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Maximal subgroups of plane group 3 (p. 62)
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Maximal subgroups of plane group 4 (p. 63)
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Maximal subgroups of plane group 5 (p. 64)
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Maximal subgroups of plane group 6 (p. 65)
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Maximal subgroups of plane group 7 (p. 66)
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Maximal subgroups of plane group 8 (p. 67)
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Maximal subgroups of plane group 9 (p. 68)
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Maximal subgroups of plane group 10 (p. 69)
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Maximal subgroups of plane group 11 (p. 70)
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Maximal subgroups of plane group 12 (p. 71)
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Maximal subgroups of plane group 13 (p. 72)
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Maximal subgroups of plane group 14 (p. 73)
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Maximal subgroups of plane group 15 (p. 74)
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Maximal subgroups of plane group 16 (p. 75)
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Maximal subgroups of plane group 17 (p. 76)
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2.3. Tables of maximal subgroups of the space groups
(pp. 77-394)
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chapter contents
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Maximal subgroups of space group 1 (pp. 78-79)
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Maximal subgroups of space group 2 (pp. 80-81)
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Maximal subgroups of space group 3 (pp. 82-84)
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Maximal subgroups of space group 4 (pp. 85-86)
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Maximal subgroups of space group 5 (pp. 87-89)
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Maximal subgroups of space group 6 (pp. 90-92)
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Maximal subgroups of space group 7 (pp. 93-94)
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Maximal subgroups of space group 8 (pp. 95-96)
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Maximal subgroups of space group 9 (pp. 97-98)
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Maximal subgroups of space group 10 (pp. 99-102)
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Maximal subgroups of space group 11 (pp. 103-105)
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Maximal subgroups of space group 12 (pp. 106-108)
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Maximal subgroups of space group 13 (pp. 109-111)
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Maximal subgroups of space group 14 (pp. 112-114)
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Maximal subgroups of space group 15 (pp. 115-117)
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Maximal subgroups of space group 16 (pp. 118-119)
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Maximal subgroups of space group 17 (p. 120)
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Maximal subgroups of space group 18 (p. 121)
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Maximal subgroups of space group 19 (p. 122)
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Maximal subgroups of space group 20 (p. 123)
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Maximal subgroups of space group 21 (pp. 124-125)
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Maximal subgroups of space group 22 (pp. 125-126)
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Maximal subgroups of space group 23 (p. 127)
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Maximal subgroups of space group 24 (p. 128)
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Maximal subgroups of space group 25 (pp. 129-130)
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Maximal subgroups of space group 26 (p. 131)
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Maximal subgroups of space group 27 (p. 132)
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Maximal subgroups of space group 28 (p. 133)
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Maximal subgroups of space group 29 (p. 134)
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Maximal subgroups of space group 30 (p. 135)
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Maximal subgroups of space group 31 (p. 136)
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Maximal subgroups of space group 32 (p. 137)
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Maximal subgroups of space group 33 (p. 138)
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Maximal subgroups of space group 34 (p. 139)
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Maximal subgroups of space group 35 (p. 140)
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Maximal subgroups of space group 36 (p. 141)
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Maximal subgroups of space group 37 (p. 142)
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Maximal subgroups of space group 38 (p. 143)
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Maximal subgroups of space group 39 (p. 144)
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Maximal subgroups of space group 40 (p. 145)
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Maximal subgroups of space group 41 (p. 146)
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Maximal subgroups of space group 42 (pp. 147-148)
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Maximal subgroups of space group 43 (p. 149)
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Maximal subgroups of space group 44 (p. 150)
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Maximal subgroups of space group 45 (p. 151)
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Maximal subgroups of space group 46 (p. 152)
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Maximal subgroups of space group 47 (pp. 153-154)
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Maximal subgroups of space group 48 (pp. 155-157)
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Maximal subgroups of space group 49 (pp. 158-159)
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Maximal subgroups of space group 50 (pp. 159-162)
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Maximal subgroups of space group 51 (pp. 162-163)
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Maximal subgroups of space group 52 (p. 164)
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Maximal subgroups of space group 53 (p. 165)
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Maximal subgroups of space group 54 (p. 166)
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Maximal subgroups of space group 55 (p. 167)
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Maximal subgroups of space group 56 (p. 168)
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Maximal subgroups of space group 57 (p. 169)
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Maximal subgroups of space group 58 (p. 170)
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Maximal subgroups of space group 59 (pp. 171-173)
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Maximal subgroups of space group 60 (p. 174)
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Maximal subgroups of space group 61 (p. 175)
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Maximal subgroups of space group 62 (p. 176)
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Maximal subgroups of space group 63 (pp. 177-178)
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Maximal subgroups of space group 64 (pp. 178-179)
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Maximal subgroups of space group 65 (pp. 180-181)
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Maximal subgroups of space group 66 (pp. 181-182)
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Maximal subgroups of space group 67 (pp. 183-184)
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Maximal subgroups of space group 68 (pp. 185-187)
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Maximal subgroups of space group 69 (pp. 188-189)
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Maximal subgroups of space group 70 (pp. 190-192)
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Maximal subgroups of space group 71 (p. 193)
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Maximal subgroups of space group 72 (p. 194)
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Maximal subgroups of space group 73 (pp. 195-196)
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Maximal subgroups of space group 74 (pp. 196-197)
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Maximal subgroups of space group 75 (p. 198)
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Maximal subgroups of space group 76 (p. 199)
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Maximal subgroups of space group 77 (p. 200)
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Maximal subgroups of space group 78 (p. 201)
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Maximal subgroups of space group 79 (p. 202)
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Maximal subgroups of space group 80 (p. 203)
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Maximal subgroups of space group 81 (p. 204)
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Maximal subgroups of space group 82 (p. 205)
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Maximal subgroups of space group 83 (p. 206)
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Maximal subgroups of space group 84 (p. 207)
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Maximal subgroups of space group 85 (pp. 208-209)
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Maximal subgroups of space group 86 (pp. 210-211)
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Maximal subgroups of space group 87 (p. 212)
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Maximal subgroups of space group 88 (pp. 213-214)
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Maximal subgroups of space group 89 (p. 215)
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Maximal subgroups of space group 90 (p. 216)
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Maximal subgroups of space group 91 (p. 217)
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Maximal subgroups of space group 92 (p. 218)
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Maximal subgroups of space group 93 (p. 219)
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Maximal subgroups of space group 94 (p. 220)
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Maximal subgroups of space group 95 (p. 221)
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Maximal subgroups of space group 96 (p. 222)
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Maximal subgroups of space group 97 (p. 223)
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Maximal subgroups of space group 98 (p. 224)
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Maximal subgroups of space group 99 (p. 225)
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Maximal subgroups of space group 100 (p. 226)
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Maximal subgroups of space group 101 (p. 227)
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Maximal subgroups of space group 102 (p. 228)
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Maximal subgroups of space group 103 (p. 229)
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Maximal subgroups of space group 104 (p. 230)
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Maximal subgroups of space group 105 (p. 231)
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Maximal subgroups of space group 106 (p. 232)
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Maximal subgroups of space group 107 (p. 233)
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Maximal subgroups of space group 108 (p. 234)
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Maximal subgroups of space group 109 (p. 235)
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Maximal subgroups of space group 110 (p. 236)
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Maximal subgroups of space group 111 (p. 237)
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Maximal subgroups of space group 112 (p. 238)
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Maximal subgroups of space group 113 (p. 239)
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Maximal subgroups of space group 114 (p. 240)
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Maximal subgroups of space group 115 (p. 241)
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Maximal subgroups of space group 116 (p. 242)
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Maximal subgroups of space group 117 (p. 243)
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Maximal subgroups of space group 118 (p. 244)
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Maximal subgroups of space group 119 (p. 245)
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Maximal subgroups of space group 120 (p. 246)
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Maximal subgroups of space group 121 (p. 247)
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Maximal subgroups of space group 122 (p. 248)
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Maximal subgroups of space group 123 (pp. 249-250)
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Maximal subgroups of space group 124 (p. 251)
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Maximal subgroups of space group 125 (pp. 252-253)
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Maximal subgroups of space group 126 (pp. 254-255)
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Maximal subgroups of space group 127 (p. 256)
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Maximal subgroups of space group 128 (p. 257)
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Maximal subgroups of space group 129 (pp. 258-259)
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Maximal subgroups of space group 130 (pp. 260-261)
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Maximal subgroups of space group 131 (p. 262)
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Maximal subgroups of space group 132 (p. 263)
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Maximal subgroups of space group 133 (pp. 264-265)
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Maximal subgroups of space group 134 (pp. 266-267)
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Maximal subgroups of space group 135 (p. 268)
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Maximal subgroups of space group 136 (p. 269)
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Maximal subgroups of space group 137 (pp. 270-271)
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Maximal subgroups of space group 138 (pp. 272-273)
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Maximal subgroups of space group 139 (p. 274)
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Maximal subgroups of space group 140 (p. 275)
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Maximal subgroups of space group 141 (pp. 276-277)
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Maximal subgroups of space group 142 (pp. 278-279)
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Maximal subgroups of space group 143 (p. 280)
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Maximal subgroups of space group 144 (p. 281)
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Maximal subgroups of space group 145 (p. 282)
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Maximal subgroups of space group 146 (pp. 283-284)
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Maximal subgroups of space group 147 (p. 285)
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Maximal subgroups of space group 148 (pp. 286-287)
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Maximal subgroups of space group 149 (pp. 288-289)
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Maximal subgroups of space group 150 (p. 290)
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Maximal subgroups of space group 151 (p. 291)
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Maximal subgroups of space group 152 (p. 292)
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Maximal subgroups of space group 153 (p. 293)
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Maximal subgroups of space group 154 (p. 294)
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Maximal subgroups of space group 155 (pp. 295-297)
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Maximal subgroups of space group 156 (p. 298)
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Maximal subgroups of space group 157 (p. 299)
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Maximal subgroups of space group 158 (p. 300)
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Maximal subgroups of space group 159 (p. 301)
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Maximal subgroups of space group 160 (pp. 302-303)
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Maximal subgroups of space group 161 (pp. 304-305)
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Maximal subgroups of space group 162 (pp. 306-307)
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Maximal subgroups of space group 163 (p. 308)
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Maximal subgroups of space group 164 (p. 309)
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Maximal subgroups of space group 165 (p. 310)
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Maximal subgroups of space group 166 (pp. 311-313)
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Maximal subgroups of space group 167 (pp. 314-316)
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Maximal subgroups of space group 168 (p. 317)
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Maximal subgroups of space group 169 (p. 318)
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Maximal subgroups of space group 170 (p. 319)
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Maximal subgroups of space group 171 (p. 320)
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Maximal subgroups of space group 172 (p. 321)
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Maximal subgroups of space group 173 (p. 322)
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Maximal subgroups of space group 174 (p. 323)
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Maximal subgroups of space group 175 (p. 324)
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Maximal subgroups of space group 176 (p. 325)
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Maximal subgroups of space group 177 (p. 326)
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Maximal subgroups of space group 178 (p. 327)
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Maximal subgroups of space group 179 (p. 328)
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Maximal subgroups of space group 180 (p. 329)
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Maximal subgroups of space group 181 (p. 330)
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Maximal subgroups of space group 182 (p. 331)
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Maximal subgroups of space group 183 (p. 332)
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Maximal subgroups of space group 184 (p. 333)
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Maximal subgroups of space group 185 (p. 334)
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Maximal subgroups of space group 186 (p. 335)
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Maximal subgroups of space group 187 (pp. 336-337)
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Maximal subgroups of space group 188 (p. 338)
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Maximal subgroups of space group 189 (p. 339)
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Maximal subgroups of space group 190 (p. 340)
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Maximal subgroups of space group 191 (pp. 341-342)
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Maximal subgroups of space group 192 (p. 343)
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Maximal subgroups of space group 193 (p. 344)
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Maximal subgroups of space group 194 (p. 345)
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Maximal subgroups of space group 195 (p. 346)
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Maximal subgroups of space group 196 (p. 347)
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Maximal subgroups of space group 197 (p. 348)
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Maximal subgroups of space group 198 (p. 349)
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Maximal subgroups of space group 199 (p. 350)
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Maximal subgroups of space group 200 (p. 351)
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Maximal subgroups of space group 201 (pp. 352-353)
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Maximal subgroups of space group 202 (pp. 354-355)
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Maximal subgroups of space group 203 (pp. 356-357)
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Maximal subgroups of space group 204 (p. 358)
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Maximal subgroups of space group 205 (p. 359)
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Maximal subgroups of space group 206 (p. 360)
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Maximal subgroups of space group 207 (p. 361)
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Maximal subgroups of space group 208 (p. 362)
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Maximal subgroups of space group 209 (p. 363)
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Maximal subgroups of space group 210 (pp. 364-365)
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Maximal subgroups of space group 211 (p. 366)
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Maximal subgroups of space group 212 (p. 367)
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Maximal subgroups of space group 213 (p. 368)
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Maximal subgroups of space group 214 (p. 369)
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Maximal subgroups of space group 215 (p. 370)
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Maximal subgroups of space group 216 (p. 371)
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Maximal subgroups of space group 217 (p. 372)
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Maximal subgroups of space group 218 (p. 373)
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Maximal subgroups of space group 219 (p. 374)
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Maximal subgroups of space group 220 (p. 375)
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Maximal subgroups of space group 221 (p. 376)
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Maximal subgroups of space group 222 (pp. 377-378)
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Maximal subgroups of space group 223 (p. 379)
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Maximal subgroups of space group 224 (pp. 380-382)
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Maximal subgroups of space group 225 (pp. 383-384)
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Maximal subgroups of space group 226 (pp. 385-386)
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Maximal subgroups of space group 227 (pp. 387-389)
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Maximal subgroups of space group 228 (pp. 390-392)
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Maximal subgroups of space group 229 (p. 393)
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Maximal subgroups of space group 230 (p. 394)
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|
2.4. Graphs for
translationengleiche
subgroups
(pp. 395-414)
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|
chapter contents
|
Volker Gramlich
and
Hans Wondratschek
2.4.1. Graphs of the
translationengleiche
subgroups with a cubic summit (pp. 396-401)
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|
2.4.2. Graphs of the
translationengleiche
subgroups with a tetragonal summit (pp. 402-408)
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pdf
|
2.4.3. Graphs of the
translationengleiche
subgroups with a hexagonal summit (pp. 409-411)
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|
2.4.4. Graphs of the
translationengleiche
subgroups with an orthorhombic summit (pp. 412-414)
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pdf
|
2.5. Graphs for
klassengleiche
subgroups
(pp. 415-425)
|
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|
pdf
|
chapter contents
|
Volker Gramlich
and
Hans Wondratschek
2.5.1. Graphs of the
klassengleiche
subgroups of monoclinic and orthorhombic space groups (pp. 416-418)
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pdf
|
2.5.2. Graphs of the
klassengleiche
subgroups of tetragonal space groups (pp. 419-421)
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pdf
|
2.5.3. Graphs of the
klassengleiche
subgroups of trigonal space groups (p. 422)
|
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pdf
|
2.5.4. Graphs of the
klassengleiche
subgroups of hexagonal space groups (p. 423)
|
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pdf
|
2.5.5. Graphs of the
klassengleiche
subgroups of cubic space groups (pp. 424-425)
|
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pdf
|
Part 3. Relations between the Wyckoff positions
3.1. Guide to the tables
(pp. 428-433)
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pdf
|
chapter contents
|
Ulrich Müller
3.1.1. Arrangement of the entries (pp. 428-430)
|
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|
3.1.2. Cell transformations (p. 430)
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|
3.1.3. Origin shifts (pp. 430-431)
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|
3.1.4. Nonconventional settings of orthorhombic space groups (pp. 431-432)
|
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|
3.1.5. Conjugate subgroups (pp. 432-433)
|
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|
3.1.6. Monoclinic and triclinic subgroups (p. 433)
|
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pdf
|
References
|
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|
3.2. Tables of the relations of the Wyckoff positions
(pp. 435-722)
|
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| |
chapter contents
|
Relations of the Wyckoff positions for space group 1 (p. 436)
|
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|
Relations of the Wyckoff positions for space group 2 (p. 437)
|
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|
Relations of the Wyckoff positions for space group 3 (pp. 438-439)
|
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pdf
|
Relations of the Wyckoff positions for space group 4 (p. 440)
|
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pdf
|
Relations of the Wyckoff positions for space group 5 (pp. 441-443)
|
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pdf
|
Relations of the Wyckoff positions for space group 6 (pp. 444-445)
|
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pdf
|
Relations of the Wyckoff positions for space group 7 (pp. 446-447)
|
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pdf
|
Relations of the Wyckoff positions for space group 8 (pp. 448-449)
|
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pdf
|
Relations of the Wyckoff positions for space group 9 (pp. 450-451)
|
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pdf
|
Relations of the Wyckoff positions for space group 10 (pp. 452-455)
|
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pdf
|
Relations of the Wyckoff positions for space group 11 (pp. 456-457)
|
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pdf
|
Relations of the Wyckoff positions for space group 12 (pp. 458-461)
|
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pdf
|
Relations of the Wyckoff positions for space group 13 (pp. 462-465)
|
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pdf
|
Relations of the Wyckoff positions for space group 14 (pp. 466-469)
|
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|
Relations of the Wyckoff positions for space group 15 (pp. 470-473)
|
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pdf
|
Relations of the Wyckoff positions for space group 16 (pp. 474-475)
|
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pdf
|
Relations of the Wyckoff positions for space group 17 (p. 476)
|
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|
Relations of the Wyckoff positions for space group 18 (p. 477)
|
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|
Relations of the Wyckoff positions for space group 19 (p. 478)
|
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|
Relations of the Wyckoff positions for space group 20 (p. 479)
|
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|
Relations of the Wyckoff positions for space group 21 (pp. 479-480)
|
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|
Relations of the Wyckoff positions for space group 22 (p. 481)
|
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|
Relations of the Wyckoff positions for space group 23 (p. 482)
|
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|
Relations of the Wyckoff positions for space group 24 (p. 483)
|
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|
Relations of the Wyckoff positions for space group 25 (pp. 484-485)
|
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|
Relations of the Wyckoff positions for space group 26 (p. 486)
|
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|
Relations of the Wyckoff positions for space group 27 (p. 487)
|
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|
Relations of the Wyckoff positions for space group 28 (p. 488)
|
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|
Relations of the Wyckoff positions for space group 29 (p. 489)
|
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|
Relations of the Wyckoff positions for space group 30 (p. 490)
|
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|
Relations of the Wyckoff positions for space group 31 (p. 491)
|
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|
Relations of the Wyckoff positions for space group 32 (p. 492)
|
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|
Relations of the Wyckoff positions for space group 33 (p. 493)
|
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|
Relations of the Wyckoff positions for space group 34 (p. 494)
|
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|
Relations of the Wyckoff positions for space group 35 (p. 495)
|
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|
Relations of the Wyckoff positions for space group 36 (p. 496)
|
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|
Relations of the Wyckoff positions for space group 37 (p. 497)
|
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|
Relations of the Wyckoff positions for space group 38 (p. 498)
|
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|
Relations of the Wyckoff positions for space group 39 (p. 499)
|
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|
Relations of the Wyckoff positions for space group 40 (p. 500)
|
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|
Relations of the Wyckoff positions for space group 41 (p. 501)
|
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|
Relations of the Wyckoff positions for space group 42 (p. 502)
|
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|
Relations of the Wyckoff positions for space group 43 (p. 503)
|
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|
Relations of the Wyckoff positions for space group 44 (p. 504)
|
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|
Relations of the Wyckoff positions for space group 45 (p. 505)
|
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|
Relations of the Wyckoff positions for space group 46 (p. 506)
|
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pdf
|
Relations of the Wyckoff positions for space group 47 (pp. 507-511)
|
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pdf
|
Relations of the Wyckoff positions for space group 48 (pp. 512-513)
|
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pdf
|
Relations of the Wyckoff positions for space group 49 (pp. 513-515)
|
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pdf
|
Relations of the Wyckoff positions for space group 50 (pp. 516-517)
|
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|
Relations of the Wyckoff positions for space group 51 (pp. 518-519)
|
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|
Relations of the Wyckoff positions for space group 52 (p. 520)
|
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|
Relations of the Wyckoff positions for space group 53 (p. 521)
|
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|
Relations of the Wyckoff positions for space group 54 (p. 522)
|
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|
Relations of the Wyckoff positions for space group 55 (p. 523)
|
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|
Relations of the Wyckoff positions for space group 56 (p. 524)
|
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|
Relations of the Wyckoff positions for space group 57 (p. 525)
|
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|
Relations of the Wyckoff positions for space group 58 (p. 526)
|
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pdf
|
Relations of the Wyckoff positions for space group 59 (p. 527)
|
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|
Relations of the Wyckoff positions for space group 60 (p. 528)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 61 (p. 529)
|
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pdf
|
Relations of the Wyckoff positions for space group 62 (p. 530)
|
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pdf
|
Relations of the Wyckoff positions for space group 63 (pp. 530-531)
|
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pdf
|
Relations of the Wyckoff positions for space group 64 (p. 532)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 65 (pp. 533-535)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 66 (pp. 536-537)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 67 (pp. 538-540)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 68 (pp. 540-541)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 69 (pp. 542-543)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 70 (p. 544)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 71 (pp. 545-546)
|
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pdf
|
Relations of the Wyckoff positions for space group 72 (p. 547)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 73 (p. 548)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 74 (p. 549)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 75 (p. 550)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 76 (p. 551)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 77 (p. 552)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 78 (p. 551)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 79 (p. 553)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 80 (p. 554)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 81 (p. 555)
|
html
|
pdf
|
Relations of the Wyckoff positions for space group 82 (p. 556)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 83 (pp. 557-558)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 84 (p. 559)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 85 (p. 560)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 86 (p. 561)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 87 (p. 562)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 88 (p. 563)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 89 (pp. 564-565)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 90 (p. 566)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 91 (p. 567)
|
html
|
pdf
|
Relations of the Wyckoff positions for space group 92 (p. 568)
|
html
|
pdf
|
Relations of the Wyckoff positions for space group 93 (pp. 568-569)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 94 (p. 570)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 95 (p. 571)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 96 (p. 572)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 97 (p. 573)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 98 (p. 574)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 99 (p. 575)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 100 (p. 576)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 101 (p. 577)
|
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|
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|
Relations of the Wyckoff positions for space group 102 (p. 578)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 103 (p. 579)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 104 (p. 580)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 105 (p. 581)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 106 (p. 582)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 107 (p. 583)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 108 (p. 584)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 109 (p. 585)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 110 (p. 586)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 111 (pp. 586-587)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 112 (p. 588)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 113 (p. 589)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 114 (p. 590)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 115 (pp. 590-591)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 116 (p. 592)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 117 (p. 593)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 118 (p. 594)
|
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|
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|
Relations of the Wyckoff positions for space group 119 (p. 595)
|
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|
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|
Relations of the Wyckoff positions for space group 120 (p. 596)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 121 (p. 597)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 122 (p. 598)
|
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|
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|
Relations of the Wyckoff positions for space group 123 (pp. 599-601)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 124 (pp. 602-603)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 125 (pp. 604-605)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 126 (p. 606)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 127 (p. 607)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 128 (p. 608)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 129 (p. 609)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 130 (p. 610)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 131 (pp. 611-612)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 132 (pp. 613-614)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 133 (p. 615)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 134 (pp. 616-617)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 135 (p. 618)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 136 (p. 619)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 137 (p. 620)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 138 (p. 621)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 139 (pp. 622-623)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 140 (pp. 624-625)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 141 (p. 626)
|
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|
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|
Relations of the Wyckoff positions for space group 142 (p. 627)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 143 (p. 628)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 144 (p. 629)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 145 (p. 629)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 146 (p. 630)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 147 (p. 631)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 148 (p. 632)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 149 (pp. 632-633)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 150 (p. 634)
|
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|
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|
Relations of the Wyckoff positions for space group 151 (p. 635)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 152 (p. 636)
|
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|
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|
Relations of the Wyckoff positions for space group 153 (p. 637)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 154 (p. 638)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 155 (p. 639)
|
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|
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|
Relations of the Wyckoff positions for space group 156 (p. 640)
|
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|
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|
Relations of the Wyckoff positions for space group 157 (p. 641)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 158 (p. 642)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 159 (p. 643)
|
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|
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|
Relations of the Wyckoff positions for space group 160 (p. 644)
|
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|
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|
Relations of the Wyckoff positions for space group 161 (p. 645)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 162 (p. 646)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 163 (p. 647)
|
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|
pdf
|
Relations of the Wyckoff positions for space group 164 (p. 648)
|
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|
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|
Relations of the Wyckoff positions for space group 165 (p. 649)
|
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|
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|
Relations of the Wyckoff positions for space group 166 (p. 650)
|
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|
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|
Relations of the Wyckoff positions for space group 167 (p. 651)
|
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|
Relations of the Wyckoff positions for space group 168 (p. 652)
|
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|
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|
Relations of the Wyckoff positions for space group 169 (p. 653)
|
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|
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|
Relations of the Wyckoff positions for space group 170 (p. 653)
|
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|
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|
Relations of the Wyckoff positions for space group 171 (p. 654)
|
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|
Relations of the Wyckoff positions for space group 172 (p. 654)
|
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|
Relations of the Wyckoff positions for space group 173 (p. 655)
|
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|
Relations of the Wyckoff positions for space group 174 (p. 656)
|
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|
Relations of the Wyckoff positions for space group 175 (p. 657)
|
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Relations of the Wyckoff positions for space group 176 (p. 658)
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Relations of the Wyckoff positions for space group 177 (p. 659)
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Relations of the Wyckoff positions for space group 178 (p. 660)
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Relations of the Wyckoff positions for space group 179 (p. 661)
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Relations of the Wyckoff positions for space group 180 (p. 662)
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Relations of the Wyckoff positions for space group 181 (p. 663)
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Relations of the Wyckoff positions for space group 182 (p. 664)
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Relations of the Wyckoff positions for space group 183 (p. 665)
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Relations of the Wyckoff positions for space group 184 (p. 666)
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Relations of the Wyckoff positions for space group 185 (p. 667)
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Relations of the Wyckoff positions for space group 186 (p. 668)
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Relations of the Wyckoff positions for space group 187 (pp. 668-669)
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Relations of the Wyckoff positions for space group 188 (p. 670)
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Relations of the Wyckoff positions for space group 189 (p. 671)
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Relations of the Wyckoff positions for space group 190 (p. 672)
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Relations of the Wyckoff positions for space group 191 (pp. 673-674)
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Relations of the Wyckoff positions for space group 192 (p. 675)
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Relations of the Wyckoff positions for space group 193 (p. 676)
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Relations of the Wyckoff positions for space group 194 (p. 677)
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Relations of the Wyckoff positions for space group 195 (pp. 678-679)
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Relations of the Wyckoff positions for space group 196 (p. 680)
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Relations of the Wyckoff positions for space group 197 (p. 681)
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Relations of the Wyckoff positions for space group 198 (p. 682)
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Relations of the Wyckoff positions for space group 199 (p. 683)
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Relations of the Wyckoff positions for space group 200 (pp. 684-685)
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Relations of the Wyckoff positions for space group 201 (p. 686)
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Relations of the Wyckoff positions for space group 202 (p. 687)
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Relations of the Wyckoff positions for space group 203 (p. 688)
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Relations of the Wyckoff positions for space group 204 (p. 689)
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Relations of the Wyckoff positions for space group 205 (p. 690)
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Relations of the Wyckoff positions for space group 206 (p. 691)
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Relations of the Wyckoff positions for space group 207 (p. 692)
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Relations of the Wyckoff positions for space group 208 (pp. 693-694)
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Relations of the Wyckoff positions for space group 209 (p. 695)
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Relations of the Wyckoff positions for space group 210 (p. 696)
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Relations of the Wyckoff positions for space group 211 (p. 697)
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Relations of the Wyckoff positions for space group 212 (p. 698)
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Relations of the Wyckoff positions for space group 213 (p. 699)
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Relations of the Wyckoff positions for space group 214 (p. 700)
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Relations of the Wyckoff positions for space group 215 (pp. 701-702)
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Relations of the Wyckoff positions for space group 216 (p. 703)
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Relations of the Wyckoff positions for space group 217 (p. 704)
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Relations of the Wyckoff positions for space group 218 (p. 705)
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Relations of the Wyckoff positions for space group 219 (p. 706)
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Relations of the Wyckoff positions for space group 220 (p. 707)
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Relations of the Wyckoff positions for space group 221 (pp. 708-709)
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Relations of the Wyckoff positions for space group 222 (p. 710)
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Relations of the Wyckoff positions for space group 223 (pp. 711-712)
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Relations of the Wyckoff positions for space group 224 (pp. 712-713)
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Relations of the Wyckoff positions for space group 225 (pp. 714-715)
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Relations of the Wyckoff positions for space group 226 (pp. 715-716)
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Relations of the Wyckoff positions for space group 227 (pp. 717-718)
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Relations of the Wyckoff positions for space group 228 (pp. 718-719)
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Relations of the Wyckoff positions for space group 229 (pp. 720-721)
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Relations of the Wyckoff positions for space group 230 (p. 722)
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Appendix. Differences in the presentation of Parts 2 and 3
(pp. 723-724)
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Ulrich Müller
and
Hans Wondratschek