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 ]
of the different primitive and centred lattices are given in Section 3.1.2
.
Examples
(i) The conventional basis for a
primitive cubic lattice (cP) is a basis of vectors of equal length which are pairwise ...
[
more
results from section 1.3.2 in volume A]
Lattice systems
Souvignier, B.,
International Tables for Crystallography
(2016).
Vol. A,
Section 1.3.4.4.2,
pp. 39-39
[ doi:10.1107/97809553602060000921 ]
Example
The
primitive cubic, face-centred cubic and body-centred cubic lattices all belong to the same lattice system, because their Bravais groups all belong to the holohedry with symbol .
On the other hand, the hexagonal and the rhombohedral ...
[
more
results from section 1.3.4 in volume A]
Relation to sphere packing
Wilson, A. J. C.,
Karen, V. L. and
Mighell, A.,
International Tables for Crystallography
(2006).
Vol. C,
Section 9.7.7.1,
pp. 904-906
[ doi:10.1107/97809553602060000623 ]
point molecular contacts can be achieved, respectively, by tetragonal close packing (I 4/ mmm), by I -centred cubic packing (), and by
primitive cubic packing (). For a review and some derivations of the densest packing of equal spheres, see ...
[
more
results from section 9.7.7 in volume C]
Cryogenic cooling stages/cryostream
Reiss, C.A.,
International Tables for Crystallography
(2019).
Vol. H,
Section 2.6.7.2,
pp. 154-154
[ doi:10.1107/97809553602060000941 ]
contraction of the cubic lattice parameter and the long-range order can be described with a
primitive cubic lattice (space group Pa).
Fig. 2.6.10 shows the atomic PDF at room and low temperature; only the short distances within the balls ...
[
more
results from section 2.6.7 in volume H]
A general introduction to space groups
Souvignier, B.,
International Tables for Crystallography
(2016).
Vol. A,
ch. 1.3,
pp. 22-41
[ doi:10.1107/97809553602060000921 ]
i) The conventional basis for a
primitive cubic lattice (cP) is a basis of vectors of equal length which are pairwise perpendicular, i.e. with and . As the name indicates, this basis is a primitive basis.
(ii) A body ...
The thermodynamic theory of transitions into a magnetically ordered state
Borovik-Romanov, A. S.,
Grimmer, H. and
Kenzelmann, M.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.5.3.3,
pp. 121-126
[ doi:10.1107/97809553602060000904 ]
of the primitive unit cell: Thus the magnetic structure of UO 2 consists of four
primitive cubic magnetic sublattices inserted into each other. According to (1.5.3.21), the magnetization vectors of these sublattices are aligned along the space ...
[
more
results from section 1.5.3 in volume D]
Non-ambient-temperature powder diffraction
Reiss, C.A.,
International Tables for Crystallography
(2019).
Vol. H,
ch. 2.6,
pp. 150-155
[ doi:10.1107/97809553602060000941 ]
with a
primitive cubic lattice (space group Pa).
Fig. 2.6.10 shows the atomic PDF at room and low temperature; only the short distances within the balls are clearly observed at room temperature (Reiss et al., 2012). The correlation between ...
The space-group distribution of molecular organic structures
Wilson, A. J. C.,
Karen, V. L. and
Mighell, A.,
International Tables for Crystallography
(2006).
Vol. C,
ch. 9.7,
pp. 897-906
[ doi:10.1107/97809553602060000623 ]
packing (), and by
primitive cubic packing (). For a review and some derivations of the densest packing of equal spheres, see Chapter 9.1
and Patterson & Kasper (1959), Coutanceau Clarke (1972), and Smith (1973); and for packing ...
Magnetic properties
Borovik-Romanov, A. S.,
Grimmer, H. and
Kenzelmann, M.,
International Tables for Crystallography
(2013).
Vol. D,
ch. 1.5,
pp. 106-153
[ doi:10.1107/97809553602060000904 ]
corners of the primitive unit cell: Thus the magnetic structure of UO 2 consists of four
primitive cubic magnetic sublattices inserted into each other. According to (1.5.3.21), the magnetization vectors of these sublattices ...
