want solution of this question

Que:- A unit cell consists of a cube in which anions (B) are present at each corner and cations (A) at the center of the alternate faces of the unit cell. what is the simplest formula of the compound?

Contribution of an atom placed at corner of the unit cell is 1/8

Therefore the total no. of anion (B) which are present in a unit cell is = 1/8 *total no. of corners= (1/8)* 8 =1 anion

Contribution of an atom placed at face centre = 1/2

When cations are placed at the alternative faces the total no of face centred atoms are 2. as shown below in :

therefore total no. of cations are = 1/2 * 2= 1

thus the formula of compound is AB

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