An element A and B constitute bcc type crystalline structure. Element

1.	An element A and B constitute bcc type crystalline structure. Element A occupies body centre position and B is at the corners of cube. What is the formula of the compound? What are the coordination numbers of A and B?
Answer» Given: Elements A and B form bcc lattice. Element A occupies body centre position and B is at the corner. To find: Formula of the compound Coordination numbers of A and B Calculation: As atoms B are present at the 8 corners of the cube, number of atoms of B in the unit cell =\(\frac{1}{8}\times8=1\) As atoms A are present at the body centre, number of atoms of A in the unit cell = 1 \(\therefore\) Ratio of A : B = 1 : 1 \(\therefore\) Formula of the compound = AB Coordination number of A occupying body centre position = 8 Coordination number of B at corners of the cube = 8 Ans: The formula of the compound is AB. Coordination number of each A and B is 8.

An element A and B constitute bcc type crystalline structure. Element A occupies body centre position and B is at the corners of cube. What is the formula of the compound? What are the coordination numbers of A and B?

Answer»

Given: Elements A and B form bcc lattice.

Element A occupies body centre position and B is at the corner.

To find: Formula of the compound Coordination numbers of A and B

Calculation: As atoms B are present at the 8 corners of the cube, number of atoms of B in the unit cell =\(\frac{1}{8}\times8=1\)

As atoms A are present at the body centre, number of atoms of A in the unit cell = 1

\(\therefore\) Ratio of A : B = 1 : 1

\(\therefore\) Formula of the compound = AB

Coordination number of A occupying body centre position = 8

Coordination number of B at corners of the cube = 8

Ans: The formula of the compound is AB.

Coordination number of each A and B is 8.

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