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 Results for DC.creator="B." AND DC.creator="Souvignier" in section 1.3.2 of volume A
Reciprocal lattice
Souvignier, B.  International Tables for Crystallography (2016). Vol. A, Section 1.3.2.5, pp. 27-28 [ doi:10.1107/97809553602060000921 ]
... reciprocal basis is given by Inserting the columns for a, b, c, one obtains For the direct computation, the matrix with ...

Primitive and centred lattices
Souvignier, B.  International Tables for Crystallography (2016). Vol. A, Section 1.3.2.4, pp. 24-27 [ doi:10.1107/97809553602060000921 ]
... shortest vector along a sixfold axis. The vectors a and b then are shortest vectors along twofold axes in a plane ...

Unit cells
Souvignier, B.  International Tables for Crystallography (2016). Vol. A, Section 1.3.2.3, p. 24 [ doi:10.1107/97809553602060000921 ]
... cells for a rectangular lattice (a) and an oblique lattice (b). It should be noted that the attribute `primitive' for ... generalization of this, namely a cell spanned by vectors a, b, c which are not necessarily a lattice basis. This will ...

Metric properties
Souvignier, B.  International Tables for Crystallography (2016). Vol. A, Section 1.3.2.2, pp. 23-24 [ doi:10.1107/97809553602060000921 ]
... lattice basis. It is customary to choose basis vectors a, b, c which define a right-handed coordinate system, i.e. such that the matrix with columns a, b, c has a positive determinant. Definition For a lattice with ...

Basic properties of lattices
Souvignier, B.  International Tables for Crystallography (2016). Vol. A, Section 1.3.2.1, pp. 22-23 [ doi:10.1107/97809553602060000921 ]
Basic properties of lattices 1.3.2.1. Basic properties of lattices The two-dimensional vector space is the space of columns with two real components and the three-dimensional vector space is the space of columns with three real components . Analogously, the -dimensional vector space is the space of columns with n ...

Lattices
Souvignier, B.  International Tables for Crystallography (2016). Vol. A, Section 1.3.2, pp. 22-28 [ doi:10.1107/97809553602060000921 ]
... lattice basis. It is customary to choose basis vectors a, b, c which define a right-handed coordinate system, i.e. such that the matrix with columns a, b, c has a positive determinant. Definition For a lattice with ... cells for a rectangular lattice (a) and an oblique lattice (b). It should be noted that the attribute `primitive' ...

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