A substance A_x B_y crystallizes in a face centered cubic lattice in which atoms ‘A’ occupy each corner of the cube and atoms ‘B’ occupy the centers of each face of the cube. Identify the correct com…

Question

A substance A_x B_y crystallizes in a face centered cubic lattice in which atoms ‘A’ occupy each corner of the cube and atoms ‘B’ occupy the centers of each face of the cube. Identify the correct composition of the substance A_x B_y.

Accepted Answer

Correct answer: A. (a) Calculate no. of atoms of A & B per unit cell. No. of atoms of A/ unit cell = 8 × 18= 1. No. of atoms of B/ unit cell = 6 × 12= 3. \ Formula is AB_3.

$A substance A_{x} B_{y} crystallizes in a face centered cubic lattice in which atoms ‘A’ occupy each corner of the cube and atoms ‘B’ occupy the centers of each face of the cube. Identify the correct composition of the substance A_{x} B_{y} .$

Solution

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