compound made of elements a and b crystallizes body centred cubic structure atom is present at the corner of cube and b is present at the centre of unit cell what is formula of compound
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A compound formed by elements A and B crystallizes in the cubic structure where A atoms are at thecorners of a cube and B atoms are at the face-center. What is the formula of the compound? An atom at the cornerof the cube contributes 81 to the unit cell. Hence, number of atoms of A in the unit cell =8×81=1.
Answer:
Given: Atoms of A are at the corners while atom B is at the body centre of the cubic unit ccll.L Since ⅛th atom is contributed at each comer and there are 8 corners in unit cell, number of atoms of A due to comers is ⅛ x 8 = 1.
In addition there is one atom of B at body centre. Hence this unit cell contains one atom of each, A
and B, therefore the formula of the compound is AB. ns. The formula of the compound = AB.