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?

The simplest formula of a solid containing a, b, and c atoms in a cubic lattice is: c.

A unit cell can be defined as a repetitive unit of solid structures with equivalent edge points and opposite faces.

In crystal lattices, there are three (3) main types of unit cell and these include:

A simple cubic unit cell is the simplest repetitive unit cell because the lattice points are only at the corners.

To calculate the simplest formula of a solid containing a, b, and c atoms in a cubic lattice:

For a atoms:

a = 1 atom

For b atoms:

b = 1 atom

For c atoms:

c = 3 atoms

Simplest formula =

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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.

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