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Question

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

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Solution

P atoms are present at the 8 corners and contribution of every corner is one-eighth. Therefore, total P atom is 1. Q is present inside the cube so number of Q atom is 1. The formula is PQ. Q atom is surrounded by 8 P atoms and vice versa. So the coordination number is 8.

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