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NEET 2005
Exam
NEET
Year
2005
Subject
Chemistry
Chapter
Solid State

NEET 2005 · Chemistry · Solid State

Copper has face centered cubic (fcc) lattice with interatomic...

Copper has face centered cubic (fcc) lattice with interatomic spacing equal to 2.54A˚2.54 Å. The value of lattice constant for this lattice is:

Options

  1. A2.54A˚2.54 Å
  2. B3.59A˚3.59 Å
  3. C1.27A˚1.27 Å
  4. D5.08A˚5.08 Å

Correct answer

B. 3.59A˚3.59 Å

Step-by-step solution

Given 2π=2.54A˚2 \pi=2.54 Å \Rightarrow \quad r=2.542=\frac{2.54}{2}=1.27 Å For fcc lattice: r=a22a=r22=1.27×2×1.44=3.59 A∘\begin{aligned}r & =\frac{a}{2 \sqrt{2}}\\ a & =r 2 \sqrt{2}\\ & =1.27 \times2 \times1.44 \\ & =3.59 \mathrm{~A}^{{}^{\circ}} \end{aligned}
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