Symbols and Terms used in this Volume: Printed symbols for crystallographic items 1.1.1. Vectors, coefficients and coordinates / Part 1:
Directions and planes
Reciprocal space
Functions
Spaces
Motions and matrices
Groups - Printed symbols for conventional centring types
Printed symbols for the conventional centring types of one-, two- and three-dimensional cells
Notes on centred cells
Printed symbols for symmetry elements
Printed symbols for symmetry elements and for the corresponding symmetry operations in one, two and three
dimensions - Notes on symmetry elements and symmetry operations
Graphical symbols for symmetry elements in one, two and three dimensions -(1.4.1. Symmetry planes normal to the plane of projection (three dimensions) and symmetry lines in the plane of thefigure (two dimensions)
Symmetry planes parallel to the plane of projection
Symmetry planes inclined to the plane of projection (in cubic space groups of classes 4 ++-+3m and m3 ++-+m only)
Notes on graphical symbols of symmetry planes
Symmetry axes normal to the plane of projection and symmetry points in the plane of the figure
Symmetry axes parallel to the plane of projection
Symmetry axes inclined to the plane of projection (in cubic space groups only)
References -
Guide To The Use Of The Space-Group Tables : Classification and coordinate systems of space groups / Part 2:
Introduction
Space-group classification
Conventional coordinate systems and cells
Contents and arrangement of the tables
General layout
Space groups with more than one description
Headline
International (Hermann+óG+1/4"Mauguin) symbols for plane groups and space groups (cf
2) / Chapter 12:
Patterson symmetry
Space-group diagrams
Origin
Asymmetric unit
Symmetry operations .. .. No. 2 P1 ++-+ -No. 4 P21 (unique axis b only) -No. 12 C2/m (unique axis b only) - P21/c (unique axes b and c) -No. 15 C2/c (unique axes b and c) -No. 18 P21212 -No. 35 Cmm2 -No. 43 Fdd2 -No. 53 Pmna No. 62 Pnma No. 64 Cmce (Cmca)
Inside front and back covers
Generators
Positions
Oriented site
symmetry symbols
Reflection conditions
Symmetry of special projections
Maximal subgroups and minimal supergroups
Monoclinic space groups
Crystallographic groups in one dimension
References-
Determination of Space Group / Part 3:
Space / 3.1:
group determination and diffraction symbols
Laue class and cell
Reflection conditions and diffraction symbol / 3.1.3:
Deduction of possible space groups
Diffraction symbols and possible space groups
Space-group determination by additional methods
Transformations in Crystallography: / Part 5:
Transformations of the coordinate system (unit-cell transformations)
Matrix notation
General transformation
Transformations of symmetry operations (motions)
Transformations
Invariants
Example: low cristobalite and high cristobalite
The 17 Plane Groups (Two-Dimensional Space Groups) - / Part 6:
Examples From The 230 Space Groups:No. 2 P1 ++-+ -No. 4 P21 (unique axis b only) -No. 12 C2/m (unique axis b only) -No. 14 P21/c (unique axes b and c)-No. 15 C2/c (unique axes b and c) 106-No. 18 P21212-No. 19 P21 21 21 -No. 35 Cmm2 -No. 43 Fdd2 No. 53 Pmna -No. 62 Pnma -No. 64 Cmce (Cmca) / Part 7:
Preface to the Fifth, Revised Edition
Symbols and Terms used in this Volume: Printed symbols for crystallographic items 1.1.1. Vectors, coefficients and coordinates / Part 1:
Symbols and Terms used in this Volume: Printed symbols for crystallographic items 1.1.1. Vectors, coefficients and coordinates / Part 1:
Directions and planes
Reciprocal space
Functions
Spaces
Motions and matrices
Groups - Printed symbols for conventional centring types
Printed symbols for the conventional centring types of one-, two- and three-dimensional cells
Notes on centred cells
Printed symbols for symmetry elements
Printed symbols for symmetry elements and for the corresponding symmetry operations in one, two and three
dimensions - Notes on symmetry elements and symmetry operations
Graphical symbols for symmetry elements in one, two and three dimensions -(1.4.1. Symmetry planes normal to the plane of projection (three dimensions) and symmetry lines in the plane of thefigure (two dimensions)
Symmetry planes parallel to the plane of projection
Symmetry planes inclined to the plane of projection (in cubic space groups of classes 4 ++-+3m and m3 ++-+m only)
Notes on graphical symbols of symmetry planes
Symmetry axes normal to the plane of projection and symmetry points in the plane of the figure
Symmetry axes parallel to the plane of projection
Symmetry axes inclined to the plane of projection (in cubic space groups only)
References -
Guide To The Use Of The Space-Group Tables : Classification and coordinate systems of space groups / Part 2:
Introduction
Space-group classification
Conventional coordinate systems and cells
Contents and arrangement of the tables
General layout
Space groups with more than one description
Headline
International (Hermann+óG+1/4"Mauguin) symbols for plane groups and space groups (cf
2) / Chapter 12:
Patterson symmetry
Space-group diagrams
Origin
Asymmetric unit
Symmetry operations .. .. No. 2 P1 ++-+ -No. 4 P21 (unique axis b only) -No. 12 C2/m (unique axis b only) - P21/c (unique axes b and c) -No. 15 C2/c (unique axes b and c) -No. 18 P21212 -No. 35 Cmm2 -No. 43 Fdd2 -No. 53 Pmna No. 62 Pnma No. 64 Cmce (Cmca)
Inside front and back covers
Generators
Positions
Oriented site
symmetry symbols
Reflection conditions
Symmetry of special projections
Maximal subgroups and minimal supergroups
Monoclinic space groups
Crystallographic groups in one dimension
References-
Determination of Space Group / Part 3:
Space / 3.1:
group determination and diffraction symbols
Laue class and cell
Reflection conditions and diffraction symbol / 3.1.3:
Deduction of possible space groups
Diffraction symbols and possible space groups
Space-group determination by additional methods
Transformations in Crystallography: / Part 5:
Transformations of the coordinate system (unit-cell transformations)
Matrix notation
General transformation
Transformations of symmetry operations (motions)
Transformations
Invariants
Example: low cristobalite and high cristobalite
The 17 Plane Groups (Two-Dimensional Space Groups) - / Part 6:
Examples From The 230 Space Groups:No. 2 P1 ++-+ -No. 4 P21 (unique axis b only) -No. 12 C2/m (unique axis b only) -No. 14 P21/c (unique axes b and c)-No. 15 C2/c (unique axes b and c) 106-No. 18 P21212-No. 19 P21 21 21 -No. 35 Cmm2 -No. 43 Fdd2 No. 53 Pmna -No. 62 Pnma -No. 64 Cmce (Cmca) / Part 7:
Preface to the Fifth, Revised Edition
Symbols and Terms used in this Volume: Printed symbols for crystallographic items 1.1.1. Vectors, coefficients and coordinates / Part 1: