A cubic solid is made of two elements P and Q.

Question:

A cubic solid is made of two elements P and Q. Atoms of Q are at the corners of the cube and P at the body-centre. What is the formula of the compound? What are the coordination numbers of P and Q?

Solution:

It is given that the atoms of Q are present at the corners of the cube.

Therefore, number of atoms of $Q$ in one unit cell $=8 \times \frac{1}{8}=1$

It is also given that the atoms of P are present at the body-centre.

Therefore, number of atoms of P in one unit cell = 1

This means that the ratio of the number of P atoms to the number of Q atoms, P:Q = 1:1

Hence, the formula of the compound is PQ.

 

The coordination number of both P and Q is 8.

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