Question

Copper has a face-centred cubic (fcc) lattice with interatomic spacing equal to $2.54A^{°}$. The value of lattice constant for this lattice is

• A. $3.59A^{°}$
• B. $2.54A^{°}$
• C. $1.26A^{°}$
• D. $5.08A^{°}$

Answer 1

The correct option is A

$3.59A^{°}$

The above question can be solved as:

Step 1:

It is given that the FCC copper lattice has an interatomic spacing of $2.54A^{°}$.

Step 2: We know that the lattice constant of FCC lattice is: interspacing capacity $\times \sqrt{2}$.

Step 3: Let's substitute the given value of interatomic spacing in the formula of lattice constant: lattice constant of FCC lattice $$\begin{gathered} =2.54\times \sqrt{2} \\ =3.59A^{°} \end{gathered}$$

Therefore the value of lattice constant for copper is $3.59A^{°}$.