# Answer to Question #21660 in Physical Chemistry for susan1991

Question #21660

A cell centered cubic bases containing 8 X atoms at the vertices of the cell and Y 6 atoms cheeks. What is the empirical formula of the solid?

Expert's answer

Obviously, you meant the face-centered cubic lattice, not cell-centered.

In the face-centered cubic lattice, only 1/8 of each atom on the vertex lies within the cell. And 1/2 of each facial atom lies within the cell.

Let's calculate the formula of the compound from the given data:

X

n = 8*1/8 = 1

m = 6*1/2 = 3

So, we have a compound of formula XY

In the face-centered cubic lattice, only 1/8 of each atom on the vertex lies within the cell. And 1/2 of each facial atom lies within the cell.

Let's calculate the formula of the compound from the given data:

X

_{n}Y_{m}n = 8*1/8 = 1

m = 6*1/2 = 3

So, we have a compound of formula XY

_{3}, which is crystallized in the face-centered lattice. An example of such compound is the potassium nitride K_{3}N.
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