Question

What is the simplest formula of a solid containing a, b, and c atoms in a cubic lattice in which the a atoms occupy the corners, the b atoms the body-center position, and the c atoms the faces of the unit cell?
a. a4bc3


b. abc6


c. abc3


d. abc


e. a8bc6?

Answer 1

Answer:

c. abc₃  

Step-by-step explanation:

1. a atoms

There are eight corners, each containing an a atom.

No. of a atoms = 8 × ⅛

No. of a atoms = 1

=====

2. b atoms

There is one central b atom.

=====

3. c atoms

There are six faces, each containing a c atom.

No. of a atoms = 6 × ½

No. of c atoms = 3

=====

4. Formula

The simplest formula is abc₃.