Question

Calcium is a nontoxic metal that is used in supplements to maintain strong bones. Under high pressure conditions, over about 320,000 atm, it has a simple cubic unit cell. How many atoms of Ca are present in each unit cell?

Answer 1

Explanation:

It is known that in a simple cubic unit cell the atoms are only present at the corner of the unit cell. This means that there are in total 8 atoms present in a simple cubic unit cell.

Therefore, in one simple cubic unit cell sharing of one atom is only $\frac{1}{8}$.

Hence, the total number of atoms in a unit cell will be as follows.

            $8 \times \frac{1}{8}$ = 1

Thus, we can conclude that there is 1 calcium atom present in each unit cell.

Answer 2

The number of atoms (Ca) present in the each unit cell will be "1".

As we know that the atoms are present only at the corners of the cubic atom.

So that,

• The total number of atoms = 8
• Each atom is shared = 8 unit cells

Thus.

• The sharing (each) will be = $\frac{1}{8}$

hence,

In a cell, the total number of Ca atoms will be:

= $8\times \frac{1}{8}$

= $1$

Thus the above response is correct.

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