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JIPMER 2007
Exam
JIPMER
Year
2007
Subject
Chemistry
Chapter
Solid State

JIPMER 2007 · 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. A1.27A˚1.27 Å
  2. B5.08A˚5.08 Å
  3. C2.54A˚2.54 Å
  4. D3.59A˚3.59 Å

Correct answer

D. 3.59A˚3.59 Å

Step-by-step solution

Interatomic spacing for a fcc lattice r=[(a2)2+(a2)2+(0)2]1/2=a2r=\left[\left(\frac{a}{2}\right)^2+\left(\frac{a}{2}\right)^2+(0)^2\right]^{1 / 2}=\frac{a}{\sqrt{2}} a being lattice constant. ∴a=2r=2×2.54=3.59A˚\therefore a=\sqrt{2} r=\sqrt{2} \times 2.54=3.59 Å NOTE : Interatomic spacing is just the nearest neighbours distance.
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