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 Results for DC.creator="D." AND DC.creator="B." AND DC.creator="Litvin" in section 5.2.2 of volume E
The basic concepts of the scanning
Kopskyacute, V. and Litvin, D. B.  International Tables for Crystallography (2010). Vol. E, Section 5.2.2, pp. 396-401 [ doi:10.1107/97809553602060000788 ]
... line and the scanning direction are defined by a vector d. This vector can be, quite generally, chosen as any vector ... might seem to be of advantage to choose the direction d always perpendicular to , as in the example below. This, however ... group is always a reducible space group (Kopský, 1988, 1989a,b, 1990) because its point group H leaves the subspace ...

Linear orbits
Kopskyacute, V. and Litvin, D. B.  International Tables for Crystallography (2010). Vol. E, Section 5.2.2.6, pp. 399-400 [ doi:10.1107/97809553602060000788 ]
... the section plane from the origin P in units of d and is referred to as the level at which the ... C. When the centring of the scanning group is A, B, I or F, this number is ; when the centring type ...

Orientation orbits
Kopskyacute, V. and Litvin, D. B.  International Tables for Crystallography (2010). Vol. E, Section 5.2.2.5, p. 399 [ doi:10.1107/97809553602060000788 ]
Orientation orbits 5.2.2.5. Orientation orbits The point group G of the scanned group acts on the orientations defined by Miller indices or Bravais-Miller indices . The set of all orientations obtained from a given orientation by the action of the elements of the group G is called the orientation orbit. ...

The types of scanning
Kopskyacute, V. and Litvin, D. B.  International Tables for Crystallography (2010). Vol. E, Section 5.2.2.4, p. 398 [ doi:10.1107/97809553602060000788 ]
The types of scanning 5.2.2.4. The types of scanning It is useful to characterize various scanning tasks using the names of the crystallographic systems of the scanned group and of the scanning group. The scanning tables are naturally built up from lower to higher symmetries, according to the standard sequence of ...

The conventional basis of the scanning group
Kopskyacute, V. and Litvin, D. B.  International Tables for Crystallography (2010). Vol. E, Section 5.2.2.3, pp. 397-398 [ doi:10.1107/97809553602060000788 ]
... or Bravais-Miller indices, we choose vectors , and the vector d of the scanning direction according to the following rules: (i ... common to all sectional layer groups, while the scanning vector d is chosen as the shortest complementary vector. Note that, in ... group automatically constitute a conventional basis of the lattice and d is orthogonal to the orientation . In cases of ...

The scanning group and the scanning theorem
Kopskyacute, V. and Litvin, D. B.  International Tables for Crystallography (2010). Vol. E, Section 5.2.2.2, p. 397 [ doi:10.1107/97809553602060000788 ]
... group is always a reducible space group (Kopský, 1988, 1989a,b, 1990) because its point group H leaves the subspace invariant. ...

The scanning for sectional layer groups
Kopskyacute, V. and Litvin, D. B.  International Tables for Crystallography (2010). Vol. E, Section 5.2.2.1, pp. 396-397 [ doi:10.1107/97809553602060000788 ]
... line and the scanning direction are defined by a vector d. This vector can be, quite generally, chosen as any vector ... might seem to be of advantage to choose the direction d always perpendicular to , as in the example below. This, however ...

Orthogonal, inclined and triclinic scanning
Kopskyacute, V. and Litvin, D. B.  International Tables for Crystallography (2010). Vol. E, Section 5.2.2.7, pp. 400-401 [ doi:10.1107/97809553602060000788 ]
... used if the scanning group is monoclinic and the vector d defines its unique axis. In both cases the vector d is orthogonal to the vectors and and they occur whenever ... unique axis is one of the vectors , . The vector d is actually not necessarily inclined to the orientation , . ...

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