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M) Face-centred cubic. 19b. This has no two sides of the primitive cell necessarily equal, but two of the axial angles are 90°. A frequently used convention is to take a and g as 90° so that y is normal to x and to z; b is then taken as the obtuse angle between x and z. 20b is such that the two-fold axes at the corners of the unit parallelograms of the second net coincide with those at the centres of the sides of the unit parallelogram of those of the first (or zero-level) net. 21. This is multiply primitive, containing two lattice points per unit cell, and the vector t4 is normal to t1 and t2.
Since m ≡ 2, this group could be designated 2 2 2, and this is why it appears in the orthorhombic system, which is defined as possessing three diad axes. This crystal class could simply be designated mm since the diad is automatically present. 12). A crystal containing three diad axes can also contain mirrors normal to all of these without an axis of higher symmetry. Such a point group is designated mmm, or could be designated 2/mm. 6, the multiplicity of the general form is now eight. The special forms {hk0}, {h0l} and {0kl} now show a lower multiplicity than the general one.
22, a new choice of axes in the plane of the nets is all that is needed to make them completely equivalent. 19b and a lattice made up from staggered nets of which the conventional unit cell is centred on a pair of opposite faces. 19c). This lattice is called the monoclinic C lattice. The two lattices in the monoclinic system can be designated P and C, respectively. The two tetragonal lattices can be rapidly developed. 14b has four-fold symmetry axes arranged at the corners of the squares and also at the centres.