modify your search
Results for DC.creator="H." AND DC.creator="Wondratschek" in section 1.2.2 of volume A1 |
Mappings and matrices
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2, pp. 7-10 [ doi:10.1107/97809553602060000791 ]
... be found in IT A, Part 11 or in Hahn & Wondratschek (1994). 1.2.2.6. Vectors and vector coefficients | | In crystallography, vectors ... in IT A Chapters 5.1 and 5.2 , and in Hahn & Wondratschek (1994). Let a coordinate system be given with a ... only remains because of the equality . References Hahn, Th. & Wondratschek, H. (1994). Symmetry of Crystals. Introduction to International ...
Vectors and vector coefficients
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.6, p. 10 [ doi:10.1107/97809553602060000791 ]
Vectors and vector coefficients 1.2.2.6. Vectors and vector coefficients In crystallography, vectors and their coefficients as well as points and their coordinates are used for the description of crystal structures. Vectors represent translation shifts, distance and Patterson vectors, reciprocal-lattice vectors etc. With respect to a given basis a vector has ...
Isometries
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.5, p. 9 [ doi:10.1107/97809553602060000791 ]
... be found in IT A, Part 11 or in Hahn & Wondratschek (1994). References Hahn, Th. & Wondratschek, H. (1994). Symmetry of Crystals. Introduction to International Tables ...
Matrix-column pairs and (n + 1) × (n + 1) matrices
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.4, p. 9 [ doi:10.1107/97809553602060000791 ]
Matrix-column pairs and (n + 1) × (n + 1) matrices 1.2.2.4. Matrix-column pairs and (n + 1) × (n + 1) matrices It is natural to combine the matrix part and the column part describing an affine mapping to form a matrix, but such matrices cannot be multiplied by the usual matrix multiplication and ...
The description of mappings
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.3, pp. 8-9 [ doi:10.1107/97809553602060000791 ]
The description of mappings 1.2.2.3. The description of mappings The instruction for the calculation of the coordinates of from the coordinates of X is simple for an affine mapping and thus for an isometry. The equations arewhere the coefficients and are constant. These equations can be written using the matrix formalism ...
Coordinate systems and coordinates
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.2, p. 8 [ doi:10.1107/97809553602060000791 ]
Coordinate systems and coordinates 1.2.2.2. Coordinate systems and coordinates To describe mappings analytically, one introduces a coordinate system , consisting of three linearly independent (i.e. not coplanar) basis vectors (or ) and an origin O. For the plane (two-dimensional space) an origin and two linearly independent (i.e. not parallel) basis vectors (or ...
Crystallographic symmetry operations
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.1, pp. 7-8 [ doi:10.1107/97809553602060000791 ]
Crystallographic symmetry operations 1.2.2.1. Crystallographic symmetry operations A crystal is a finite block of an infinite periodic array of atoms in physical space. The infinite periodic array is called the crystal pattern. The finite block is called the macroscopic crystal.1 Periodicity implies that there are translations which map the crystal pattern ...
Origin shift and change of the basis
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.7, p. 10 [ doi:10.1107/97809553602060000791 ]
... in IT A Chapters 5.1 and 5.2 , and in Hahn & Wondratschek (1994). Let a coordinate system be given with a ... only remains because of the equality . References Hahn, Th. & Wondratschek, H. (1994). Symmetry of Crystals. Introduction to International Tables ...
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2, pp. 7-10 [ doi:10.1107/97809553602060000791 ]
... be found in IT A, Part 11 or in Hahn & Wondratschek (1994). 1.2.2.6. Vectors and vector coefficients | | In crystallography, vectors ... in IT A Chapters 5.1 and 5.2 , and in Hahn & Wondratschek (1994). Let a coordinate system be given with a ... only remains because of the equality . References Hahn, Th. & Wondratschek, H. (1994). Symmetry of Crystals. Introduction to International ...
Vectors and vector coefficients
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.6, p. 10 [ doi:10.1107/97809553602060000791 ]
Vectors and vector coefficients 1.2.2.6. Vectors and vector coefficients In crystallography, vectors and their coefficients as well as points and their coordinates are used for the description of crystal structures. Vectors represent translation shifts, distance and Patterson vectors, reciprocal-lattice vectors etc. With respect to a given basis a vector has ...
Isometries
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.5, p. 9 [ doi:10.1107/97809553602060000791 ]
... be found in IT A, Part 11 or in Hahn & Wondratschek (1994). References Hahn, Th. & Wondratschek, H. (1994). Symmetry of Crystals. Introduction to International Tables ...
Matrix-column pairs and (n + 1) × (n + 1) matrices
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.4, p. 9 [ doi:10.1107/97809553602060000791 ]
Matrix-column pairs and (n + 1) × (n + 1) matrices 1.2.2.4. Matrix-column pairs and (n + 1) × (n + 1) matrices It is natural to combine the matrix part and the column part describing an affine mapping to form a matrix, but such matrices cannot be multiplied by the usual matrix multiplication and ...
The description of mappings
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.3, pp. 8-9 [ doi:10.1107/97809553602060000791 ]
The description of mappings 1.2.2.3. The description of mappings The instruction for the calculation of the coordinates of from the coordinates of X is simple for an affine mapping and thus for an isometry. The equations arewhere the coefficients and are constant. These equations can be written using the matrix formalism ...
Coordinate systems and coordinates
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.2, p. 8 [ doi:10.1107/97809553602060000791 ]
Coordinate systems and coordinates 1.2.2.2. Coordinate systems and coordinates To describe mappings analytically, one introduces a coordinate system , consisting of three linearly independent (i.e. not coplanar) basis vectors (or ) and an origin O. For the plane (two-dimensional space) an origin and two linearly independent (i.e. not parallel) basis vectors (or ...
Crystallographic symmetry operations
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.1, pp. 7-8 [ doi:10.1107/97809553602060000791 ]
Crystallographic symmetry operations 1.2.2.1. Crystallographic symmetry operations A crystal is a finite block of an infinite periodic array of atoms in physical space. The infinite periodic array is called the crystal pattern. The finite block is called the macroscopic crystal.1 Periodicity implies that there are translations which map the crystal pattern ...
Origin shift and change of the basis
International Tables for Crystallography (2011). Vol. A1, Section 1.2.2.7, p. 10 [ doi:10.1107/97809553602060000791 ]
... in IT A Chapters 5.1 and 5.2 , and in Hahn & Wondratschek (1994). Let a coordinate system be given with a ... only remains because of the equality . References Hahn, Th. & Wondratschek, H. (1994). Symmetry of Crystals. Introduction to International Tables ...
powered by |