Consider a material having a Side-Centered Orthorhombic structure (see Fig.3). The lattice vectors a , b and c describe the stacking of atoms of the material. This crystal may be also described by another primitive cell built on the lattice vectors a' , b' et c' as shown by red cell.

Find:

1- The expressions of a' , b' and c' as a function of a , b and c .

2- Compare the volumes of the two cells (a, b,c) and (a' , b' , c')

Exercise 3 Consider a material having a Side-Centered Orthorhombic structure (see Fig.3). The lattice vectors , b and describe the stacking of atoms of the material. This crystal may be also described by another primitive cell built on the lattice vectors ', b' et c'as shown by red cell. b Fig. 3 -b Find: 1- The expressions of a', b' and ' as a function of a, b and . 2- Compare the volumes of the two cells (a,b,c) and (a', b',c'). 1