Question

CRYSTAL STRUCTURE PROBLEM
My answers:
A. Tetragonal (BCC)
B. SrFeO2
C. Can somebody show a solution for this? Thanks for the effort!

Answer 1

The crystal structure is a body-centered tetragonal lattice.

Explanation:

• This crystal represents a body centered tetragonal lattice (bcc) because all the angles of the crystal are the same (90º). Also the length of 2 sides of the lattice are equal.

• The required empirical formula is$SrFeO_2$.
• In the given lattice , there are 8 iron atoms present at the corner and also they are being shared between the unit cells which are also 8 in number. In the middle of the unit cell , there is one Sr atom present.
• Therefore the number of iron atoms that will be present per unit cell will be given by:

        $= 8\times \frac{1}{8} = 1$

• Similarly number of oxygen atoms per unit cell is given by:

       $= 8\times \frac{1}{4} = 2$